diff --git "a/data/dm_maths/full_data/6101_11255.jsonl" "b/data/dm_maths/full_data/6101_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/6101_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let i = 135\/2 - 671\/10. Suppose 2*m + 11 + 37 = 0. Let d be m\/(-84) - (-8)\/21. Which is the second biggest value? (a) -0.3 (b) d (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 2*w**2 + 74*w - 99. Give z(0).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1189246837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 - 413\/105)\/(15\/(-50)). Let d be ((-9)\/(-6) - 0)\/6. What is the fourth biggest value in d, -3, t, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.80802 litres to millilitres.\nAnswer: 5808.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12585)\/(-11350) - (-3)\/(-5). Let c = -2\/227 + p. Let a = 22 - 45\/2. What is the nearest to -1\/17 in a, -1, c?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/4*(-1 + 1). Suppose s*q + q = 0. Which is the third smallest value? (a) 0.5 (b) 3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/((-9)\/(-176823)*9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**2\/13 - 184550*u\/13 + 14196 = 0?\nAnswer: 1, 92274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/(-5)*15\/(-10). Let m(f) = 2*f - f - 3*f + f. Give m(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -7, 1\/94, 0.3, -3 in descending order.\nAnswer: 0.3, 1\/94, -2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -m**8\/420 - m**7\/210 + 4*m**3\/3 - 26. Let o(f) be the third derivative of s(f). Factor o(l).\nAnswer: -4*l**3*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -854 - -2486\/3. Calculate the common denominator of 2\/5 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 2*f - 4*f)*(2 - f - 2) + (-11 - 6*f + 5 + 4)*(-f - f + f).\nAnswer: 7*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -46 and -0.76 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -7 in ascending order.\nAnswer: -7, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20428534?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 47*t**2 + 45*t + 196. Let v be d(-48). Calculate the highest common factor of 100 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 6:59 PM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-150)\/(-3) - (-65390)\/(-1006)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -252, 1 in increasing order.\nAnswer: -252, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1397 (base 10) to base 6.\nAnswer: 10245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4322 + 2174. Let t be (-4)\/16 - n\/16. Suppose 584 = 5*q + t. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3282, 6542, 9778, 12990, 16178?\nAnswer: 19342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/3, 59.\nAnswer: -2\/3, 2, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7494 and 114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 7. Let w = -6 + s. Let h = 0 - w. Solve h*c + 38 = 13 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 779366.\nAnswer: 2, 7, 179, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -132508 or -132502?\nAnswer: -132502","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -896, -4, -2, 2, 3, -9 in descending order.\nAnswer: 3, 2, -2, -4, -9, -896","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 284855?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-70397984.\nAnswer: 422387904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2\/5 + 4734516*t\/5 - 18938016\/5.\nAnswer: -3*(t - 1578168)*(t - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -9448.750962 rounded to 1 decimal place?\nAnswer: -9448.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 - (-12 + -6 + 24)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07 in 15.9, 2, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4.29? (a) -5 (b) -4 (c) 2\/19 (d) -3\/2 (e) -0.21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 16*f + 15 + 739*f + 561*f + 138*f + 136*f. What are the prime factors of r(1)?\nAnswer: 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17885 divided by 1\nAnswer: 17885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 33451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, 86, 370, 940, 1892, 3322, 5326?\nAnswer: 8000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**4 - 17910*u**3 + 16056300*u**2 - 32041000*u.\nAnswer: 5*u*(u - 1790)**2*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2620025*k**5 + 125*k**2 + 9618*k wrt k?\nAnswer: 157201500*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -159*f**3 + f**2 + 2*f + 2. Let g be (-12)\/66 - (-90)\/11. Let t(i) = 5*i - 41. Let s be t(g). List the prime factors of r(s).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 8*v - 4. Let y(l) = -61*l - 29. Let f be y(-1). Suppose 21*o = f*o - 33. What is the lowest common multiple of o and z(-5)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 8, -15, 930\/17?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-14)\/(k*k**(5\/6)*k)*(k\/k**(-1\/34))\/((k\/(k\/k**(-5\/4))*k)\/k) assuming k is positive.\nAnswer: k**(-2969\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**3 + 4*j**3 - 19*j**3 + 0*j + 0*j + 2*j**3 - 7*j**3 + 3*j**3 + 3*j**3 + (2*j**2 - j + j)*(-4*j + j + 4*j))*(-j + 4*j - 4*j).\nAnswer: 12*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in thirty-two fifths of a millisecond?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 - 847*z + 19118.\nAnswer: -(z - 22)*(z + 869)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.13944 - 0.1433998. Round u to five dps.\nAnswer: -0.00396","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1629 is divided by 541?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 787 = y - 0*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1878\/(-3443) + ((-2)\/(-3) - 203\/(-231)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46609280 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -g + 3*t, 0 = -5*g + 5*t - 18*t + 7*t + 29 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h - 5. Let g(v) = -v**3 - 3*v**2 + 8*v + 11. Suppose 4*d - s + 14 = 0, 0*d - 3*s = -4*d - 10. Let y be g(d). Give z(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.4 (b) -9 (c) -24 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(2\/15)*u*u)\/(u*u\/(u*u**(-16\/7))))\/(u\/(u*u*u*u*u*u\/((u\/u**2)\/u*u)*u*u))**2 assuming u is positive.\nAnswer: u**(1664\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66, -3, -5, 5, 6 in descending order.\nAnswer: 66, 6, 5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-15\/7)*(b**(3\/5)*b)\/b*b assuming b is positive.\nAnswer: b**(-19\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*h**2 + 0 + 2*h**2 + 16*h**2 + 2.\nAnswer: 29*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (-5 + sqrt(55)\/sqrt(5)) - sqrt(22)\/sqrt(72))**2 + -4 + -3*(sqrt(11) - (sqrt(11) + (-2*sqrt(11) + -2)**2)).\nAnswer: 67*sqrt(11)\/3 + 5951\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25\/8 + 11\/24. Let r = 480 - 484. Which is smaller: r or m?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5378658705 to 4 decimal places.\nAnswer: 0.5379","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -134 and -58733.\nAnswer: 7870222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*v**2 + 5*v**2 - 2*v**3 - 14*v**2.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_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: Collect the terms in 178 - 88 - w + 99.\nAnswer: -w + 189","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-32)\/18 + -1 + 3. Let z = 9.3 - 1.3. Let f be ((-86)\/(-473))\/((-120)\/(-88)). Which is the second smallest value? (a) f (b) z (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1202507413?\nAnswer: 23, 52282931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*o**5*r + 4*o**3*r**3 + 7*o**2*r + 2*o*r**3 + 2*o + 370*r + 1 wrt o?\nAnswer: 160*o**3*r + 24*o*r**3 + 14*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 16 = -2*i, 11*g = 7*g - 20. Which is the smallest value? (a) -0.28 (b) -0.9 (c) 2 (d) 4 (e) i\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 1 + -462 + 430\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 284 + 284)*(-73 + 6 - 12)*(-1 - 1 + 3).\nAnswer: 79*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 101 - -1?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*u**2\/2 + 49907415*u\/2 + 24953705 = 0. Calculate u.\nAnswer: -9981482, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3360 and 5040.\nAnswer: 10080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 8:56 AM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 72 - 71.8. Let i = -2 - -1. Which is the nearest to i? (a) h (b) 6 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -5 + (1 - (1 + -3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 32564545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 0 - ((-25 - -12) + 48)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-290)\/(-50) + -1)*140\/(-42)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (-3276)\/(-357) - (-3)\/17?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 10:03 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5062 + -30289\/6. Calculate the common denominator of i and -52\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 105 + -178. Let b = c - -68. Calculate the remainder when 70 - ((-15)\/b - 2) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 268\/(-4690)*(-105)\/25?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 41.42 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2405821.\nAnswer: 11, 218711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7650)\/450*((-2 - -11) + -2). Which is smaller: -1076\/9 or u?\nAnswer: -1076\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41.5308 + 40.52. Let o = 0.0108 + x. What is the nearest to o in 2\/3, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -83 < -84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -113 + 113. Suppose -3*c + t + 1063 = l, -29*c + 34*c + 2*t - 1779 = 0. List the prime factors of c.\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47 - -56. Solve -u = -2*d + f, 2*d = 3*d + 2*f + 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*w - 18 - 13 + 5 + 24 - 42*w.\nAnswer: -17*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 19*q**2 + q - 7. Give m(-19).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 808218853 is divided by 7874.\nAnswer: 7871","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36397 = -8*p + 297805. Is p\/49 - 8\/(-56) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30125932 is divided by 12706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/8 and 43\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.20514*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -197\/464 (b) -3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -246, -245, -244, -243?\nAnswer: -242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1023963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/280 and -17\/68061565?\nAnswer: 3811447640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1*(3 + 1*-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80334.24t in grams?\nAnswer: 80334240000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12484.192 days to weeks.\nAnswer: 1783.456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 115804 and 34060.\nAnswer: 579020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of 5*y**3\/2 + 957*y**2\/2 - 1504*y. Give k(-64).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 1367*h + 527783. Determine u(-314).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/3)\/((-3)\/(-18)). Let o be 3 + (-1 - 1)\/2. Suppose -q = z + o. Sort 0, z, -2 in descending order.\nAnswer: 0, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 8*d - 7. Let f be z(3). Calculate the common denominator of -47\/6 and (-366)\/(-6)*1\/f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**3 - o**2 - 4. Let x be q(-2). Calculate the greatest common factor of 120 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 23*z - 3250. Suppose -4 = -129*n + z*n. Calculate the lowest common multiple of 45 and n.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 8) + (8 + -1 - (-66 + 107))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2467\/490 - -288\/49. What is the common denominator of m and 31\/42?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5*i + 1 = -0*i, -2*u + 18 = -i. Let l = -11 + u. What is the units digit of 3\/12 + (-7)\/l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 + -97 - -93) + (0 + -35 - (1 + -3))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 23*j**2 + 24*j + 53. Let l be 182\/39*(-72)\/14. Is z(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -2, 0.5, -432454?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 32839, 32537, 32041, 31357, 30491?\n\"Answer: k**3 - 103*k**2 + 32941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -104*x**2 + 4 - 4. Let f(b) = -2*b. Determine h(f(n)).\nAnswer: -416*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 8:14 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + -1 + -3 - -8) + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 360 or 361?\nAnswer: 360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 353341051 and 1778.\nAnswer: 889","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 72, -2, -3\/7, -4, -11, 1?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**2\/n)**(-32)\/((n*n**(-13)*n*n)\/n*n*n**(-2\/53)) assuming n is positive.\nAnswer: n**(-1164\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 5, -4, -20?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -829 = -5*b - 539. Suppose -24*u + b = 5*u. Suppose 1\/4*l**4 - 1\/2*l**u - 1\/8*l**5 + 1\/4 - 1\/8*l + 1\/4*l**3 = 0. What is l?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39\/5)\/3 + -3.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + ((1 - 11) + (-17 - -16) - -8)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.674 + 4.674. What is the third biggest value in -5, 0, h?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1792 and 90118.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1)*a)**(-22)*(a\/(a*a\/(a\/a**0)))\/(a\/(a*a\/((a\/((a*a**(-2\/11))\/a))\/a*a))))\/((a\/(a*a**(-12)))\/(a**(-1\/8)*a))**30 assuming a is positive.\nAnswer: a**(-14693\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 307995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - 133)\/((-171)\/36)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**3 - 2910*r**2 - 97904*r - 345120 = 0?\nAnswer: -2876, -30, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16*y**2 - 22 + 44*y**2 + 6*y**2 - 4 wrt y?\nAnswer: 132*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21210 (base 3) to base 13\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 7. Let r = 14 + -27\/2. What is the closest to i in 0.3, r, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5012*l**2*x**4 - 9*l**2*x**3 + 2*l**2*x**2 - 221314*l*x**2 - 5*x**3 wrt x.\nAnswer: -120288*l**2*x - 54*l**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2577 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -28, -2 in decreasing order.\nAnswer: 5, -2, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 2*x**2 + 3 - 15*x + 12*x.\nAnswer: -2*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-96)\/176 + (-1124)\/198. What is the second biggest value in -1\/5, -0.4, s, 1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v - 3. Let j be t(4). Suppose f - 9 = -2*r, 2*r + j*f - f = 12. Let m = 0 + 3. Solve -3*d + 8 = 5*s, -s + m*d = -r*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -106, -234, -362?\n\"Answer: -128*s + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1053) - sqrt(13))*5 + -4*sqrt(65)\/((-1*sqrt(5) - sqrt(5)) + sqrt(5)).\nAnswer: -91*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*k*x**3 - 4672*k*x**2 - 405*x**3 wrt x.\nAnswer: -18*k - 2430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5594 - 11723\/2. Let f = 257 + i. Find the common denominator of 25\/21 and f.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -51*m**2 + 13?\nAnswer: -102*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(1352\/16))\/(-2)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 6769 = 6779, -13*q - 14 = 5*c for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3389446378 + 173?\nAnswer: 171.6610553622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u - 15. Let m be k(7). Put m, 2, 4 in descending order.\nAnswer: 4, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/35 and (-2)\/((-15)\/63*-5)?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 441*w - 17 = 444*w - 2*i, -2*w = 5*i + 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 21. What is k(0)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -21*m - 2. Let b(g) = -2*g. Give b(a(f)).\nAnswer: 42*f + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and 9.204?\nAnswer: -55.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25313288 is divided by 1098.\nAnswer: 1094","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**4\/5 + 8676*d**3\/5 + 9409122*d**2\/5 + 4535196804*d\/5 + 819736822323\/5.\nAnswer: 3*(d + 723)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3877720 and 20020.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 6*d**2 - 4*d - 9. Let k(r) = -7*r**2 + 5*r + 10. Give 5*k(x) + 6*q(x).\nAnswer: x**2 + x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1\/7))\/(n*n*n**1\/n*n*n) assuming n is positive.\nAnswer: n**(-22\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3906)\/9765*2\/(28\/25)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 55*g**2 - 545*g + 18223. Calculate p(59).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 2 - (10 + (2 - 1) - (-622 - -634))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(180))*-3 - sqrt(180))**2.\nAnswer: 432*sqrt(5) + 2961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -4*x**2. Let f(s) be the second derivative of s**4\/12 - 4*s. Determine c(f(r)).\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-6 - (-7 + -32) - -5 - -5)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 1. Let q(d) = 7*d**2 - 9. Let m(w) = -4*p(w) - q(w). Let z(i) = -4*i**2 + 3. Let g(c) = 3*m(c) - 5*z(c). Let y(n) = -25*n. Calculate y(g(f)).\nAnswer: 25*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 172533 rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8812.566 seconds to minutes.\nAnswer: 146.8761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.6 + -0.6. Let d = -3.6 + 4. What is the second biggest value in d, -2\/5, k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*q - 31 = 6*q - 661 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3993)*-3*5 - sqrt(3993))\/(sqrt(88)\/(sqrt(8) - (sqrt(32)*2 + sqrt(8) + sqrt(8)))).\nAnswer: 880*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22763 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - l**2 - 4. Suppose 67 - 3 = 19*q - 31. Determine j(q).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 74467008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2 = -6*i. Solve -6*d = 2*z - i*d + 18, -2*d = 3*z + 11 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 0 - 2*u**2 + 1 + 0)*(u - 4 + 4 + (94 + 15 + 94)*(-1 + 2*u + 1) - 2*u - 3*u + 4*u).\nAnswer: -812*u**3 - 812*u**2 + 406*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11)\/(-3) - (2 - 7\/3). Suppose 3*y - x*z = 286, 0 = 3*z - 7 - 8. Is y a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 3585\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -0*d - 7*i + 114, -2*d - 66 = 13*d - 13*d - 4*i for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01804 rounded to three decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 5:05 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 32117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 339707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 5*y - 21, -1 = 5*y - 6. What is the smallest common multiple of 18 and (9 - -3) + r - -2?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7977 - -8108. Calculate the highest common divisor of r and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6375*0.0284.\nAnswer: -181.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3750 and 9.\nAnswer: 33750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 + -114. Let a = 138.97 + c. What is the smallest value in 2\/11, a, -10, -5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - v**3 - 3)*(-11 + 1 - 17) + (-2*v + 0*v + 0*v)*(-v**2 + 2*v + 2*v**2 + v**2).\nAnswer: 23*v**3 - 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/15)\/(-22 + 26 - (-38)\/(-10))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-26 + (1 - 0))*8. Let f = 292 + p. Suppose 0 = 2*o + f + 108. Round o to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2*sqrt(55))\/sqrt(11).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is cc - -127?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -4*y + a + 13, 4*a = 3*y - 13. Suppose -50 = -w - 4*w. Solve -n - w = -y*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 188 - 179.93. Let f = d + -0.07. Let g = 7.97 - f. Round g to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 0.2, 0.4, 6.39, -3\/7, 7\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 u when four letters picked without replacement from uucchcu.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 3330?\nAnswer: -10000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(2112) + ((sqrt(363)*4)\/sqrt(11) - sqrt(33)))\/((1*sqrt(11) - sqrt(11))*-3 + 4*sqrt(396)).\nAnswer: -29*sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 53.115 to one decimal place.\nAnswer: 53.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -5*f, -3*f = -5*f - 5*u. Let g = -0.52 + 0.02. What is the closest to -4 in -1, f, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8173 + -8103. Solve -7*f = 63 - c for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + 6*b - 3. Let z be g(6). Let c be 1*2*(-1 - z). What are the prime factors of (-368)\/(-20) + c\/(-10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 417 a factor of 54627?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2174688 - -1?\nAnswer: 2174689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)*2)\/sqrt(3))\/(6*sqrt(60)\/sqrt(5)).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47374, 189651, 426806, 758839?\nAnswer: 1185750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*j - 39*j = 138*j - 1820 for j.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-6)\/(-4))\/(-2*2\/((-8)\/(-129))))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 976828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -100, -1, -3\/2, -5?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -1, 336675.\nAnswer: -1, 8, 336675","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006267 rounded to seven decimal places?\nAnswer: 0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (159\/(-106) + 6\/(-4))\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i - 23*i + 10 = 0. Find the third derivative of 8*g**i - 12*g**4 - 56*g**2 - 38*g**4 + 3*g**4 wrt g.\nAnswer: -1128*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 26*r**3 + r**2 + 27. Let q be s(4). Suppose 1 - 6 = 3*v - 4*u, -4*v + u + 15 = 0. Is 2*3\/(-15) + q\/v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = -u + 58. Which is smaller: -4\/3 or u?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -131204*l - 393611. What is t(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -1\/45*n**6 - 2*n**2 + 1\/315*n**7 + 0*n**4 + 2\/45*n**5 + 0*n**3 + 0*n + 0. Factor m(y).\nAnswer: 2*y**2*(y - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -400*x - 1512 = -484*x - 4*u, 70 = 4*x + u - 2 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -732805130549.4 minus 0.03?\nAnswer: -732805130549.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of -k**5\/30 + k**4\/9 - k**3\/9 + 2*k + 7. Factor b(g).\nAnswer: -2*g*(g - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11965 - 7271. What are the prime factors of w?\nAnswer: 2, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/1200 and 7\/54?\nAnswer: 10800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-5)*4\/(4\/(-5))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45862107 to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 5*a**5\/6 - 5487*a**4 + 33992984*a**3\/3 - 16797974720*a**2\/3 - 3622903112192*a + 4350169235456\/3 = 0.\nAnswer: -352, 2\/5, 2312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from ggggggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -1\/4*h**4 + 39*h**2 + 2*h + 7\/6*h**3 + 0 + 1\/60*h**5. Calculate o(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -3. Suppose -3*y + k*g + 25 = 0, 4*g = 4*y + g - 38. What is the remainder when (-1 - ((-864)\/30 - 8)) + 4\/(-5) is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3301\/7080 - -28\/59. Let y = -161\/120 + i. Let f = -5 - -3. Which is bigger: f or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 4*t**3 - 4*t**3 - t**3 as m*t**2 + k*t**3 + v*t + u and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -215560, -215555, -215550, -215545?\n\"Answer: 5*r - 215565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 8*i + 127. Calculate j(-16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1195, 71, -1815, -4469, -7897, -12105, -17099?\nAnswer: -22885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -622\/11459 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {x: 3, y: 2, i: 1, r: 2, q: 6, a: 5}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 107211059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 509 is divided by 275?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-266)\/95 + 3\/(-15). Which is the second biggest value? (a) i (b) 2\/7 (c) -4\/153 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61 - 62. Put -22, -2, 3\/7, x in descending order.\nAnswer: 3\/7, x, -2, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4*k = -39, -4*b = 6*k - 5*k - 33. Suppose 1 = v - b. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/39)*r**(-7\/3)\/r*r**(-1)*r*r\/(r\/r**(4\/9)) assuming r is positive.\nAnswer: r**(-332\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4737*i**2*q**4 - 213*i**2*q + 2*i*q**3 - 5*i*q**2 wrt q?\nAnswer: -113688*i**2*q + 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 6:23 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of w**3\/3 - w**2 + 3*w + 3. Let i be g(3). Let f be 3\/i - (-2)\/(-4). Does f = 6\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 130 (c) -4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 5*f + 20. Let i be o(5). Suppose 3*z - 112 = -5*p - z, 5*z = 3*p - i. Let a be (2\/(-6) - -1)\/(p\/15). Sort -5, 2\/15, a, -3 in ascending order.\nAnswer: -5, -3, 2\/15, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -469, -436, -365, -238, -37, 256, 659, 1190?\n\"Answer: 3*r**3 + r**2 + 9*r - 482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.93 - 0.48. Sort -0.2, -3, l in decreasing order.\nAnswer: l, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**2\/7 + 25660772*s\/7 + 25660774\/7 = 0.\nAnswer: -1, 12830387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 302, -4, 1, 9, 7 in increasing order.\nAnswer: -4, 1, 7, 9, 302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 3:57 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x + 3. Let u be h(8). Let t(r) = -r**2 - 7*r - 7. What are the prime factors of t(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -118 - -45. Let i = m + 72. Let u be i + -4 + (-4 - -12). Solve -u*a + 2*c = -0*a - 2, -2*a - 2*c + 18 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185*t = -191*t + 924. Calculate the smallest common multiple of t and 22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25402*n**2 - 41954*n.\nAnswer: -50804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 12\/((-12)\/(-4)) + (-1 - 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 675298*x**2. Let t(z) = -11*z**2. Calculate t(g(y)).\nAnswer: -5016301276844*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 4*f + 4. Let x be q(4). Suppose -3*u = -5*j + 16, 8*j + u = 3*j + 8. Suppose 26 = 3*v + w - 6, -x*w = j*v - 38. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 z, and 1 l when three letters picked without replacement from lzzi.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*g + 1 + 5*g + 1)*(-3*g - 4*g - 4*g).\nAnswer: 187*g**2 - 22*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*d - 223 + 103. Calculate the greatest common divisor of d and 230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24*g**2 + 464*g*n + 32873*n wrt g.\nAnswer: -48*g + 464*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 6:24 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 458612 is divided by 16978.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -191809247.\nAnswer: -38361849.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/80)\/((4*(-7)\/56)\/3).\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2770964763 to the power of 1\/2, to the nearest integer?\nAnswer: 52640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4895*a**3 - 173*a**2 - a + 12 wrt a.\nAnswer: 29370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 9*l + 5. Let c(k) = k + 1. Let r(z) = 2*c(z) - y(z). Let s be r(-1). What is the first derivative of 37*x**4 - 74*x**4 - 15 + 30*x**s wrt x?\nAnswer: -28*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000154921 rounded to seven dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26452 and 26452.\nAnswer: 26452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 4) in base 2?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.28 - -0.28. Let a = -8094 + 8092. Put q, -2\/11, a in decreasing order.\nAnswer: -2\/11, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5*i - 135 = p, 0 = -3*p + 3*i + 135. Suppose -o - p = d, 0 = -2*d + 13 - 5. Is o less than -50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/13 - 8*t\/13 + 6\/13.\nAnswer: 2*(t - 3)*(t - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 615635561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/2 (b) -23272 (c) 3 (d) 2\/43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 - 80*h - 75.\nAnswer: -5*(h + 1)*(h + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/335640 and 5\/91109478.\nAnswer: 1822189560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1067?\nAnswer: 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/13? (a) -1\/6 (b) 1 (c) -0.5 (d) -0.7 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 17*a**2 + 3*a + 11. Let q be r(17). Suppose -8*n = -q + 22. Solve -4*t + 1 = n for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-11)\/(-2) - 4) + -1. Determine s, given that -1\/2*s**2 - d*s**4 + 0 - s**3 + 0*s = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(3\/(-18 - -3)). Solve 3*b + 6 + 20 = v*i, -3*b = -2*i + 14 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*y + 104 = 0. Suppose -108*o + 432 = -y*o. Is 18 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6872*d + 1770 = -6754*d for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one ninth of a day?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 137, 144, 155, 170?\n\"Answer: 2*l**2 + l + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 - -26. Suppose -t = -x - 0*x. Let i be 220\/50 - x\/10. Solve -4*b = -0*b - 4*g - 28, -i*g = 4*b + 12 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0*j + 16 = 2*j, -5*p + 5*j + 80 = 0. What is the hundreds digit of (-3)\/(-2)*1112\/p + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000039189 to 7 decimal places.\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -79, -150, -237, -340, -459, -594, -745?\n\"Answer: -8*q**2 - 47*q - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 5. Let a = -103 + 112. Suppose t = r - 4*t - a, 36 = f*r + 5*t. What is the least common multiple of 11 and r?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15441, 61824, 139129, 247356?\nAnswer: 386505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)*3 + sqrt(28))**2 + 1.\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccbccbgjygjj. What is prob of picking 2 j?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110000 (base 2) in base 10?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -2 - (-2 + -1 + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 135960*c**3 + 220414?\nAnswer: 407880*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15122?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**2*q)\/(q\/(q\/(q*q*q*q\/(q\/(q*q\/(q\/q**(1\/12))*q))*q*q*q*q))*q))\/(q**(1\/5))**(-20))**(-32) assuming q is positive.\nAnswer: q**(296\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 8\/255?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 594, 1340, 2110, 2916, 3770, 4684, 5670, 6740?\n\"Answer: 2*w**3 + 732*w - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4051.\nAnswer: 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - ((-66)\/(-12) + -5)*(-4 - -10). Solve -15*w - 7 + 67 = p for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 7 = 2. Suppose p + 1 = v. Suppose o + 5 = p*r - 2*o, 0 = -5*r - o + 38. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 68\/35 and 1\/19933670.\nAnswer: 139535690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 9 - 1 + 18*b)*(2 + 2 - 3).\nAnswer: 18*b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -5*t**4 + 20665*t**3 - 185475*t**2 - 432965*t - 226820 = 0.\nAnswer: -1, 11, 4124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**3\/5 + 147312*f**2\/5 - 294632*f\/5 = 0.\nAnswer: -73658, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + 1. Suppose -5538 = -282*n - 462. List the prime factors of n*(0 - q\/12).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -76*d**2 - 103*d + 1?\nAnswer: -152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 104, -1, 5, 0 in decreasing order.\nAnswer: 104, 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 283393, 283387, 283377, 283363?\nAnswer: 283345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5353*k - 392 = 5304*k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4016\/18131 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100)*-2*2 - sqrt(100))\/((sqrt(30) - sqrt(270))\/sqrt(3)))\/((sqrt(242)\/(2*sqrt(11) + sqrt(11)))\/(sqrt(11) + -2*sqrt(44)\/sqrt(4))).\nAnswer: -15*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of v**5\/60 + v**4\/6 + v**3\/3 - 2*v**2 - 4*v. Determine i(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 67920062 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 407408 to the power of 1\/2, to the nearest integer?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 15.2?\nAnswer: 6.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/2 - 355\/10. Let n be (0 + 1)\/(4\/o). Is n greater than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70 + 155 - 42 - 10*p - 43.\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3183.626nm to meters.\nAnswer: 0.000003183626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wmj when three letters picked without replacement from {j: 1, c: 1, m: 1, w: 2, a: 1, y: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209*z + 151098 = 217*z - 89422. What is the thousands digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmh when four letters picked without replacement from {m: 5, h: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (251 - 157 - 138)*(-27*y + 0*y - 185*y).\nAnswer: 9328*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-22)\/28 - 2\/(-7). Suppose -8 = 2*c, -3*c + 8 = -k - 5*c. Let a be -6 + 4 + k + 2. What is the closest to a in h, 0.1, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 20 = -a + g, 0 = -5*g - 15. What is the greatest common divisor of a and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2271*f**2 - 9713*f + 2 - 2 + 9713*f to the form a*f**2 + u + i*f and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 72, -1\/4, -8, -1\/13, -2\/3, -0.3, 7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70418723.\nAnswer: 71, 167, 5939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w = 245 - 179 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(198) + sqrt(198))\/(-2*sqrt(396) + sqrt(396)))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 393 (base 12) to base 16.\nAnswer: 21f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 10:59 PM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 21737 = 21895?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/20477 at least -48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (6 - 12) - -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) + sqrt(567) + -3*sqrt(567)*1 + sqrt(567) + sqrt(567))\/(-6*(sqrt(1296)*2 + sqrt(1296)))*5.\nAnswer: -5*sqrt(7)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 14*r**2 - 17*r + 19. What is l(13)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b - 1. Let i be c(-3). Let q be ((-8)\/(-6))\/(i\/3). Suppose -68 = -4*v - q*p, -13 = 5*p + 7. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -68*k**2 + 7*k + 13. Let p(m) = -66*m**2 + 8*m + 15. Determine 7*n(x) - 6*p(x).\nAnswer: -80*x**2 + x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -28221.5 minus 2226?\nAnswer: -30447.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-3)\/(-3)) - (-166)\/83\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.0993267 to 2 dps.\nAnswer: -11.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3122*l - 870 = 3152*l for l.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 304333.7 millennia?\nAnswer: 3652004400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + 5 + -3 + (4 - 6). Is 5 a factor of ((-104)\/y)\/((-1)\/(-5))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2656 by -4.\nAnswer: -664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1368.979 - -1370. Let o = q - 0.021. Suppose 4*g + 4 = 5*g. Which is the biggest value? (a) -0.5 (b) g (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t**3 + 72*t**2 + 855*t = 0. What is t?\nAnswer: -57, -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17163\/8 - 2136. Find the common denominator of (-3)\/(72\/46) + 3 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 9, -4*c = 3*z - 0*c - 216. Suppose 4*q + 121 = 5*a, 2*a - q = 5*a - z. Let p(t) = 3*t. What is the remainder when a is divided by p(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y*y**18*y*y)))\/(y\/y**35))\/(y**(5\/4)*y**16) assuming y is positive.\nAnswer: y**(151\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 1375, 0.7, 59, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32970\/66 + (-42)\/77 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 - 5*l - 4. Let k be p(4). Let d be 4\/(-14) - k\/21. Which is the biggest value? (a) -5 (b) d (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -13*v**2 - 31*v - 1. Let l(k) = 39*k + 47. Let p(o) = -7*a(o) - 5*l(o). Differentiate p(x) wrt x.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + -12 - -2) + 7 + -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*t = 0. Suppose -2*r - 2*q - 44 = 44, 2*r - 5*q + 74 = t. Let g = -22 - r. Does 17 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 17 and 76.\nAnswer: 1292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4453 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of 0 - 10*f**2 - 5\/6*f**3 + 0*f - 1\/15*f**5 + 0*f**4. Find the first derivative of x(p) wrt p.\nAnswer: -8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000111100000010110000 (base 2) in base 6?\nAnswer: -235100400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 3 = -4*m. Suppose 4*d = 4, -m*r - 3*d = -11 - 2. Let l(z) = z**3 + z**2 + 2*z - 3. Is l(r) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -s - 2*s + 11, 4*p - 5*s - 3 = 0. Let v(j) = j**3 - 6*j**2 + 2*j - 7. Let k be v(6). Let q(y) = -5*y - 3 - y**2 + k*y**2 - 3*y**p. Calculate q(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, 0.5, 0.06, 6.345, 0, -2\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -473.4 rounded to the nearest ten?\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 7875144?\nAnswer: 7875144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 8*s - 420 - 4*s**3 - 2*s**2 - 4*s**2 + 5*s**3 + 407. Let m be c(5). Solve -2*q - 1 = -o, -4*q + 2*q = m for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -13. Let n = t - -2\/3. Let d = 0.1 - -0.1. Which is the biggest value? (a) n (b) 0 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2)*r**3*(r\/((r*r\/(r\/r**(-1\/4))*r)\/r))**(-2\/11) assuming r is positive.\nAnswer: r**(21\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -4*i**3 - 3*i - 1. Let f(c) = -7*c**3 - 5*c - 1. Let k(p) = 5*a(p) - 3*f(p). What is the first derivative of k(o) wrt o?\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -70 divided by -5\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4*h - 5. Suppose 51*y - 663 = -0*y. Let d(g) = -g + y + 19 - g - 38 + 5*g. What is 2*c(j) - 3*d(j)?\nAnswer: -j + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -4*c**2 - 4*c + 4. Let g(u) = -u**2 - u + 1. Let w(h) = h**3 + 5*h**2. Let i be w(-5). Suppose -q - 5 = i, -2*p - 4*q = q + 5. Give p*g(k) - 3*m(k).\nAnswer: 2*k**2 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 3:17 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 + 40. Let j be v*(41934\/14 - (-18)\/(-63)). What is j rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 33*x**2 - 2*x - 1. Let o be h(-1). Suppose 0 = y - 5*m - 9 + o, 5*y + 125 = -3*m. Let g = 8 - y. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 542697153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4*t + 1. Let p be g(1). Suppose -7 = -p*m + 13. Suppose -m*z - 67 = -5*k, 31 = -0*k + 2*k - 3*z. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -3 - 3. Suppose -j + 0 + l = 0. Suppose 4*g - 30 = 2*x, -j*g + 9 = -g + x. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 16*c. Let g(t) be the third derivative of t**5\/30 + 5*t**3\/6 + 14*t**2 + 35*t. What is g(s(a))?\nAnswer: 512*a**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 149682043?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -16594 <= -16590?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2050, 5, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -75. What is the remainder when t is divided by 1\/((64\/(-60))\/(-16))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 7:20 PM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -113*k**2 - 1. Let f(u) be the first derivative of -11*u**3\/3 + 2296. Give g(f(p)).\nAnswer: -13673*p**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o + 27. Let b be q(-11). Suppose -b*l - 35 = 5*x - 0*x, 0 = 4*l + 12. Suppose 3*s - 8 = 7. Put 2, x, s in ascending order.\nAnswer: x, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ar when two letters picked without replacement from irazzaaia.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 2452620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 2*r = 22, 0 = 306285*q - 306284*q - 5*r + 5 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-8)\/(-4)*10\/(-120)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 102 = 5*i, 3*l - 98 = 5*i + 5*l. Let r = -129 - -109. Is r equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 50*m**2 + 76*m + 1. Determine p(-5).\nAnswer: 871","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 8. Suppose -3*d = -f - 0, -5*t = 5*d - 40. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k + k**3 - 4*k**2 + 3*k**3 - 3*k**3 + 3. Let c be d(4). What is the highest common factor of c and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 3*k**2 + 25*k - 7. Let f be y(-4). Put f, 0, 109 in descending order.\nAnswer: 109, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**3\/7 + 1031468*p**2 + 6516555409792*p\/7 + 13033081938496\/7 = 0. What is p?\nAnswer: -1805068, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(5) + sqrt(5)*-1)*6 + sqrt(5)) - -5*(sqrt(405) + 2 + sqrt(5) + sqrt(5)).\nAnswer: 10 + 52*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -29, -4, 295, 4 in ascending order.\nAnswer: -29, -4, 4, 5, 295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -10\/3*u**3 - 2*u - 53\/30*u**6 + 0*u**4 + 0*u**5 + 6 + 1\/2*u**2. Find the second derivative of l(a) wrt a.\nAnswer: -636*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -230*r**4\/13 - 25744*r**3\/13 + 27782*r**2\/13 - 1808*r\/13 = 0.\nAnswer: -113, 0, 8\/115, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -141 + 173 - (-9 + (-1 - -3 - 0) + 3).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19346888?\nAnswer: 2, 11, 219851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -72*f**2 + 280*f**2 - 71*f**2 + 265*f**2 + 33*f**2 as h*f + k + s*f**2 and give s.\nAnswer: 435","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25725, -25077, -24429, -23781, -23133, -22485?\nAnswer: -21837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 5:53 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -12781382?\nAnswer: -4\/6390691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9617?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 436950 and 183.\nAnswer: 26653950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -57\/5 + 12. What is the third smallest value in -0.4, 0.4, 3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000176851931 to 7 decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 6 + (-12 - -9) - -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 52 = -38. Calculate the remainder when 29 is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s - 1. Let u be n(-2). Let a be -3 + 3 - (0 - -2). What are the prime factors of 15*a\/(-3)*u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6517497 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55426527 = -35*g - 24*g + 10531343. What is g rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 1069, 4064, 9995, 19840, 34577, 55184?\nAnswer: 82639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67095733?\nAnswer: 67095733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 58.3 + -0.11.\nAnswer: 58.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6*(10\/(-3) + 3). Suppose i*v = 3*v + 132. What are the prime factors of (-2)\/(-2*(-4)\/v)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*m**2 + 4*m**2 + 2*m**2 + m**2 - 5*m**2 + m**2 + (-4*m + m + m)*(-1 - 2*m + 1) + 25*m**2 - 12*m**2 - 10*m**2 + m**2 - 6*m**2 + 3*m**2 + 3 - 3 - 4*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 bigger than 33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 3*x - 4*x. What are the prime factors of (1 - 61*-2) + x?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1566\/1316315 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 243 - 11*j**2 - 8848*j + 0*j**2 + 8850*j as d + m*j**2 + w*j and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-487)\/(1498986\/(-456))*6\/(-16)*(-6)\/9\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 - 351 = -150*s. Solve -2*j = 3*j - s*r - 2, 3*j = -5*r + 8 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + u = -6. Let r be u*(42\/(-4))\/3. Suppose 0 = b + c - 7, -4*b - 5*c + 20 = -r. Solve h = 3*d - 11, 3*h = -3*d - 1 - b for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*16354\nAnswer: 65416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f + 1873235 - 58033235 = 0. What is f rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53*c**2 - 76996*c**4 + 48*c**2 + 77081*c**4 - c + 1 + 2*c**3 to the form l*c**3 + i*c + u*c**4 + n + f*c**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 35160.07 millennia in months?\nAnswer: 421920840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 16526 (base 7) to base 5\nAnswer: 122344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.23555422 rounded to three decimal places?\nAnswer: 4.236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-4) - -1)*7581147\/(-273). Let j = 13888 + p. Let s = -162\/29 + 3225\/406. What is the common denominator of s and j?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-165))\/((104\/(-2600))\/(1\/(-30)))\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -12\/11 (b) 1 (c) -12\/1117 (d) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.428 + 0.265. Let o = -5.703 - s. Let d = o - -0.04. What is d rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 565389 + (3 - (7 + 4)). Suppose -238521 = -22*a + h. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*4\/(-48)*26.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b*b\/b**(-1\/8))*b**(-2\/55)*(b*((b\/(b**(-1)*b))\/b)\/b)**(10\/7))**(1\/2) assuming b is positive.\nAnswer: b**(-951\/880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.8 + 6.8. Let h = 69 + -485\/7. Let b = -27 - -55\/2. What is the nearest to h in b, r, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2432318 from -3.\nAnswer: -2432321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, s: 2, r: 1, q: 1, l: 1, z: 1}. What is prob of picking 2 s?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 8*f + 4. Let o be x(-3). Let q = 32 + o. Suppose -4*y + q = -y. Solve -y = w - 2*v, -4*w - 7 - 6 = -5*v for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/45 and 61\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 1:59 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 58\/(-76))*(-64)\/(-144).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96 and 4.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of f**2 + 2*f - 4. Let y = -8 - -10. Let g = y - 4. Determine h(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - (285\/(-105) - (-1 + 27\/21)). Let x(s) be the second derivative of 5\/2*s**2 + 17*s + 0 - 5\/3*s**3 - 1\/12*s**d. Determine x(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 833 and 265931?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23593*s = -23599*s - 276 for s.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 - 0. Let h be (-18)\/b*(-332)\/(-24). Let f = h + 62\/5. Is f bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -15, -112 in ascending order.\nAnswer: -112, -15, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3075 divided by 615.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, i: 7, u: 2, j: 1}. What is prob of picking 1 j and 3 q?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 615 and 123.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -4*k - 72. Let i(c) = 9*c + 144. Calculate -6*i(q) - 14*z(q).\nAnswer: 2*q + 144","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) -0.1 (c) -2\/3 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 0.01 (b) 1 (c) 0.02 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 750493*c**2 - c + 791767 wrt c.\nAnswer: 1500986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36028166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 38674 = -2*j - 38665, 3*j = u + 14 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**2\/m*m*m*m)**(-1\/14))**3*(m**(-1))**(-11)*(m*m*m**(-1\/16))\/(((m\/((m\/m**(-2))\/m)*m)\/m)\/m*m) assuming m is positive.\nAnswer: m**(1441\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 1591, -469.\nAnswer: -469, -4, -3, 1591","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003619418263 rounded to 6 decimal places?\nAnswer: 0.003619","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 w when three letters picked without replacement from {w: 5, r: 5}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.2 + 0.3. Let w = t + -16.5. Suppose 0 = 5*r + 20, 9*x - r - 16 = 6*x. Put w, x, -0.5 in decreasing order.\nAnswer: x, -0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3\/73, 123, -54, 16?\nAnswer: -3\/73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/270)\/1)\/((-77)\/(-385)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {b: 1, e: 1, t: 2, v: 2, p: 2, q: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is ba59a + -86?\nAnswer: ba514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -h**5\/60 - 224*h**2. Let c(d) = -6*d - 3. Give u(c(i)).\nAnswer: -36*i**2 - 36*i - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 101 divided by 28.\nAnswer: 101\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**6*c*(c*c**(-1\/15))\/c*c**(-4)*c**(-2\/11))**(3\/10) assuming c is positive.\nAnswer: c**(227\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*z + 58790 = 0, -w = -3*z + 8*z + 29395. Let l = 10605 - w. What is l rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -493*q + 129169. Calculate n(262).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 157\/(-9) - (3\/(-27) + 42\/(-126)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*m*x + 93744*m + 3*x + 87268 wrt m.\nAnswer: 4*x + 93744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/13 + 7328*r\/13 - 6712448\/13.\nAnswer: -2*(r - 1832)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(2\/7))**(-48))**49)**(-47) assuming q is positive.\nAnswer: q**31584","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 2, 1, -719, -2, 962 in descending order.\nAnswer: 962, 2, 1, -2, -6, -719","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*j - 0, r = -5*j + 59. Suppose 3*d = 4*b + 74, -3*b = 5*d - 113 - 20. What is the remainder when r is divided by d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.017? (a) 17 (b) 4 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 187\/(-68)*(-2 + (-8832)\/(-4400))?\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5193162?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 34755480 a multiple of 2524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 84 - 46. Suppose -5*p + 297 + 33 = 0. Let m = p - d. Calculate the remainder when m is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j - 31 + 48 = 0. Let p(u) = -u + u - 1 - u**2. Let d(k) = k**2 + 3. Determine j*d(h) - 3*p(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 157, -5\/2, -3?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -183*b**3 - 21*b**2 - 412*b + 4. Let r(q) = -41*q**3 - 5*q**2 - 103*q + 1. Determine 2*p(l) - 9*r(l).\nAnswer: 3*l**3 + 3*l**2 + 103*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of -42*r**2 - 6\/5*r**5 - 1 + 0*r + 0*r**3 + 9\/2*r**4. Find the second derivative of j(m) wrt m.\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(152)*-1*-2)\/(-1*sqrt(128)*-4).\nAnswer: 5*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3469 - 3025 = -q, 4875 = 3*t + 3*q. Suppose 4*r + 14*f = 9*f + t, 4*r - 3*f = 1663. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 317707.11 nanoseconds to hours.\nAnswer: 0.000000088251975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 112 and 256900392.\nAnswer: 513800784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -5*q + 33*o - 37*o, 0 = 3*q - 2*o - 14 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 - 26*s**2 + 78*s**2)*(0 - 2 + 1)*(-3*s**2 + 0*s + 0*s).\nAnswer: 156*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-2\/23)\/q)**(-1\/79) assuming q is positive.\nAnswer: q**(2\/1817)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (220\/(-25))\/((4\/5)\/(-2)) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 122 - 122. Solve -2*j - 4*y = -g - 30, 0 = 3*j + 2*y - 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 15 = 15*y, 4*y + 89 = 2*q + 6*y + 67 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: What is the third derivative of -178492*n**3 - 136779*n**2 wrt n?\nAnswer: -1070952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 - 141\/4. Let y(j) = 11*j - 3. Let z be y(2). Let f = 58\/3 - z. Which is the second smallest value? (a) n (b) -0.3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of 2*w**3\/27 - 8*w\/9 - 11. Solve d(c) = 0 for c.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -5*r + 5*r + 2*r - r - 6. Let g(k) = 3 + 77*k - 83*k - 40. Let i be g(-5). Calculate c(i).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.015091365 rounded to three dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (46\/(-12))\/(32867\/(-14290)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45296028 by -2516446.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bxfb when four letters picked without replacement from xfbbgrfff?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1425))\/(sqrt(3) + sqrt(735)\/sqrt(5)).\nAnswer: 15*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2906, -2209, -1498, -773, -34, 719?\nAnswer: 1486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -8*m**2 - 13*m - 13*m + 26*m. Let u(f) be the third derivative of -f**4\/12 - 28*f**2. Calculate u(s(b)).\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**4\/2 - 9*k**3\/2 - 3*k**2 = 0 for k.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of w**3\/3 + 7*w**2 + w - 7. Let v be m(-14). Solve -3*r - v = 14 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*y**2 + 0 - 1\/3*y - 1\/3*y**3.\nAnswer: -y*(y + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l**2 - 4*l - 78. Determine d(0).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 2*m + 8 = 0, -3*j + m = -6*j + 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 7) in base 10?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 a factor of 1257395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -22342824 (base 9) to base 12\nAnswer: -3765a57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 5:06 PM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/27*15\/1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.107, -2, -12.\nAnswer: -12, -2, 0.107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-365)\/(-292))\/(20\/64)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 4*h - 3*h)*(-2*h**3 + 2*h - 2*h) - 6*h**4 + 3*h**4 + 2*h**4 + 9*h**2 - 22*h**2 - 5*h**4 - h**3 + 10*h**2.\nAnswer: -8*h**4 - h**3 - 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 0, 169, -3, 16998, 5 in increasing order.\nAnswer: -4, -3, 0, 3, 5, 169, 16998","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 9) to base 10\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.043 - 1.963. What is c rounded to 1 decimal place?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)\/sqrt(5)*-5 + sqrt(13))**2 + 5 + -1 - (-2 + (sqrt(13) - (sqrt(832)*-1)**2) + -4).\nAnswer: -sqrt(13) + 1050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -298 - -291. Let r(l) = 9*l**2 - 12*l - 5. Let a(c) = -4*c**2 + 5*c + 2. Let i(k) = h*a(k) - 3*r(k). Calculate i(5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 10 + (-19 - -34 - 32)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wrrprrrrrrrrrrr. What is prob of sequence prw?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -v + 2, -2*v = -v + 3*t - 8. Let d(l) = 4*l - 8. Let o(c) = -c**3 + 6*c**2 + 3*c + 7. Calculate the remainder when o(5) is divided by d(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16733624?\nAnswer: 2, 2091703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 643078.1 years to centuries.\nAnswer: 6430.781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1688621 rounded to 4 dps?\nAnswer: -0.1689","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.929 less than 0.1606?\nAnswer: -0.7684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -317*o + 91*o - 458*o + 3*o**2 + 1 - 1.\nAnswer: 3*o*(o - 228)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1279269812 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hfcfycqffyffxfffxfff. Give prob of sequence xf.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -320?\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2130 and 876461985?\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1502, 9273, 30374, 71471, 139230?\n\"Answer: 1111*u**3 - u**2 - 3*u + 395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.18*54652.\nAnswer: -9837.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of 0*j + 0*j**3 + 0*j**4 + 0 + j**2 + 1\/20*j**5. Let q(l) = -2*l. Give v(q(o)).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3985, 4214, 4441, 4666, 4889, 5110, 5329?\nAnswer: 5546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2632, -5200, -7710, -10156, -12532?\n\"Answer: y**3 + 23*y**2 - 2644*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49 - 24. Suppose 23 + 5 = 7*m. Suppose 0 = 3*y + m*p - 19, 3*y + 2*p - 16 = p. Calculate the greatest common factor of c and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1368)*2)\/(sqrt(32)*4).\nAnswer: 3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/301 and 8\/175?\nAnswer: 7525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + 760\/(-285)*9\/12.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -27 - 1\/18*o**4 - 1\/12*o**2 + 5\/36*o**3 + 2*o. Let r(l) be the first derivative of z(l). Find h, given that r(h) = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5867.\nAnswer: 5867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-2\/3)*s**0)\/(s\/(s\/(s\/(s\/((s*((s**1\/s)\/s)\/s)\/s)))))**(-3\/10) assuming s is positive.\nAnswer: s**(-4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29378869?\nAnswer: 13, 2259913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -192*w. Let s(m) = -m. What is -h(p) + 160*s(p)?\nAnswer: 32*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 189*c + 198*c + 998*c - 98*c as k*c + f and give k.\nAnswer: 1287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/(-4) - -2)\/(-1). Suppose -4*w + 305 = 3*h, o*h - 3*w = -h + 93. Suppose 5 = -n + 16. Calculate the greatest common divisor of h and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that v**4\/5 + 3938*v**3\/5 - 626233*v**2\/5 - 253642*v = 0.\nAnswer: -4091, -2, 0, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 67\/3 + -22. Let c(k) be the third derivative of -k**2 + 0 + 1\/120*k**6 + 0*k**5 + 0*k**4 + n*k**3 + 0*k. What is the first derivative of c(j) wrt j?\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/24*4*1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 255 = -2*z - 261, 4 = -4*z for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -359d (base 14) in base 12?\nAnswer: -54b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/2 - (1 + -2). Suppose -a + 4 = 4*i + 2, i - 2*a + l = 0. Suppose i = -3*u - 5 + 11. Solve 0 = u*d + 2*d + 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -72 + 841. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 70*x**2 - 9591*x + 93. Determine f(139).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5662 is divided by 186?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 5, -29 = -3*z + o + 68. Is z a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2356 - 1524. Calculate the greatest common factor of u and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of p**6\/120 - p**5\/5 + 5*p**4\/12 + p**3 + p**2 - 104*p. What is y(11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/32*(-16)\/(-18)*168\/32?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15902?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/2022756 and -32\/405.\nAnswer: 273072060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-73986)\/2926)\/(69\/161).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -40, -76, -112, -148, -184, -220?\n\"Answer: -36*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(704) + 2)*-1)**2 - (1*(sqrt(99) + -2) + 1).\nAnswer: 29*sqrt(11) + 709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1424088 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z**(-5)*z*z)\/z)\/z*z\/(z*z**(1\/3))*z**(-12)\/z**4)**(1\/15) assuming z is positive.\nAnswer: z**(-61\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 45 = 11. Is 2 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(936))\/(5*sqrt(6)\/sqrt(3)) - ((-2*(sqrt(351) + sqrt(39)))\/(-2*sqrt(363) + sqrt(363)) + -2).\nAnswer: -106*sqrt(13)\/55 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3b97 - -1?\nAnswer: 3b98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + -2)*(-16)\/12. Suppose -4*u = w - 23, 3*w + 4*u - 38 = -9. Sort -7, w, s in increasing order.\nAnswer: -7, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44634 is divided by 21421.\nAnswer: 1792","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/6, 0.1, 4, 77\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 19, 5 in ascending order.\nAnswer: 0, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j + 4165*j**2 - 4165*j**2 - 3*j**3.\nAnswer: -3*j**3 - 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -1 + 12 + (2 - 32) + -3?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.61727559 and -2.2.\nAnswer: -2.81727559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 69*y**2 - 3240*y + 218. What is h(-101)?\nAnswer: 1026","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 5*s**3 + 8*s**2 + 2*s + 10. Let g(b) = -9*b**3 - 14*b**2 - 3*b - 17. Determine -7*c(y) - 4*g(y).\nAnswer: y**3 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15 and -0.045011.\nAnswer: -0.675165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -29.3 times -0.04301\nAnswer: 1.260193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**2 - 6*h**2 + 19*h**2 + (-3 + 3 + 4*h)*(-1 - 2*h + 1).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**2 + 21 - 6*w**3 - 21 - 7*w**2.\nAnswer: -6*w**3 - 6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 163322641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/(-16))\/(1\/(-12)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**2 + 7*b - 5. Let s be d(2). Let n be 4 - 1\/s - (-25 - 5). Calculate the highest common divisor of 1023 and n.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 47895422 or 47895421?\nAnswer: 47895422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 507 = 4*l + k, 0 = -2*l + 67*k - 63*k + 276. Calculate the smallest common multiple of 32 and l.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36 (base 13) to base 11\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.89 rounded to zero decimal places?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, l: 1, y: 1, g: 1}. Give prob of sequence ge.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.5, -9, 3, 5, 2\/5, -4 in descending order.\nAnswer: 5, 3, 0.5, 2\/5, -0.1, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 6977*x + 230405. Give u(-33).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 9*m**2 + 69*m + 18. Calculate n(14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*sqrt(396) + sqrt(44)\/(sqrt(144)\/sqrt(4)))**2.\nAnswer: 517979\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 112 and 5.\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 0*o - 12. Let i(c) = 1 + 3*c**2 + o*c + 0 + 8 - 2. Is i(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-4)\/3)\/(-6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.733006 rounded to three decimal places?\nAnswer: -1.733","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40396088?\nAnswer: 2, 5049511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i**5\/3 - 160*i**4\/3 + 5*i**3 + 470*i**2\/3 - 320*i\/3 = 0.\nAnswer: -32, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of 2*m**2 + m + 31. Let u(r) = 12*r + 4. Let h(x) = -x - 1. Let o(j) = -2*h(j) - u(j). Determine 12*l(w) + 5*o(w).\nAnswer: -2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6053758 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n + 54 = 5*n. Let o(y) be the first derivative of -1 + 1\/12*y**n - 1\/4*y**2 + 1\/4*y. Factor o(w).\nAnswer: (w - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.8 + 1.1. Let g(y) = y**3 - 4*y**2 - 2*y + 5. Let t be g(4). Let d be (-2)\/t*(0 + 3). Which is the second smallest value? (a) -0.5 (b) v (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58\/5 at least as big as 4862?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*h - 4*d, -3*h - d - 7 = -5*h. Let n be 7*1*(h - 2). Let y = 0 - n. Is 2 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-150)\/200 - (-1*2 + 1). What is the nearest to i in 3, 0, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 26 = 5*c, 3*c - 2 - 1 = -5*r. Suppose 0 = 5*o + 5, k = -2*k - r*o + 78. Is 8 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 11:41 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**5 + 12*z**4 + 24*z**3 + 20*z**2 + 6*z = 0 for z.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 7:13 PM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61 + -59. Suppose f*w + p = 41, -w + 5*p + 12 = -36. Let k = w + -19. What is the highest common divisor of 40 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40683 rounded to the nearest 1000?\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 4*z - 4, -7*u + 12 = -z - 3*u. Let l be z\/(-10) - (-1499994)\/(-15). What is l rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -556*o. Let w(m) = -2*m**2. Determine w(b(q)).\nAnswer: -618272*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -33*j**3 - 45*j**2 - 17*j + 15. Does 196 divide m(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6 + (12\/(-1))\/(-2) + (-30)\/70. Which is the nearest to f? (a) 2\/7 (b) -2\/5 (c) 205\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c**3 - 3*c**2 + 2*c + 1. Let q(i) = i**3 + 1. Let p(f) = 3*q(f) + u(f). Let m be p(3). Let w = m + 45. Is 0 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 8:16 AM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3*-853811\nAnswer: -2561433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirty-four fifths of a century?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 17307 (base 8) to base 15\nAnswer: 2504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/7, 0.6, 2, -4, -0.241?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 19*v**2 - 14*v - 70. Let w be j(18). What is the third derivative of -37*z**5 + 17*z**5 - 41*z**5 + 155*z**2 - 102*z**2 + w wrt z?\nAnswer: -3660*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1948621849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -5 + 8*v**2 - 6*v**2 - v**2 + 7*v. Calculate x(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19034985 is divided by 43?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-65 - -23) + (9 - -17) + -51?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 93400636799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.5 + 0.5156. What is a rounded to 3 dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 315 + 2?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-97722)\/(-20) - 16\/160. What is the highest common factor of 28 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3476651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 11 = -3. Suppose -5*t + 10 = -5*x, 4*t - 2 = k*x + 3*t. Suppose x*o = -4*o + 212. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**5\/3 - 16*g**4 + 151*g**3\/3 - 34*g**2 = 0. Calculate g.\nAnswer: -51, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 174440, 348811, 523154, 697475, 871780, 1046075, 1220366, 1394659?\n\"Answer: j**3 - 20*j**2 + 174424*j + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*j + 14*j - 34*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, w: 4, x: 3, v: 4}. What is prob of picking 2 v?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(14)\/sqrt(72).\nAnswer: -5*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -231*x - 2. Let b(y) = -10*y. Give b(s(w)).\nAnswer: 2310*w + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -37 and 0.023.\nAnswer: -0.851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wppp when four letters picked without replacement from wwwppppphwppp.\nAnswer: 56\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (27\/6*2)\/(1\/87). Let i = x + -243. Is i a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81319?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1041 is divided by 337.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 74184 and 4871416?\nAnswer: 14614248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/11, -1\/11, 1\/87, 5, 2\/3, -3 in ascending order.\nAnswer: -3, -1\/11, 1\/87, 1\/11, 2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 + 274. Let l be 5060\/d - 4\/(-30). Solve -20*a + l*a = -9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 909*z - 18. Let v(n) = 259*n - 5. What is 5*f(u) - 18*v(u)?\nAnswer: -117*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -36491 or -1140?\nAnswer: -1140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -24 - ((322 - 339) + -2 + 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gsss when four letters picked without replacement from {g: 5, s: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5566\/21 - -1846\/7. Let o = 8.2 + -8. Which is the closest to 0.1? (a) o (b) 1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**5\/5 - 36*f**4 - 952*f**3\/5 + 4176*f**2\/5 - 608*f = 0. Calculate f.\nAnswer: -38, -10, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3498 and 724746.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64\/(-16)*15\/(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 50 = 2*u, -5*u + 115 = -2*h + 9. Let j = u + -16. What is the smallest common multiple of 5 and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2209.1 + -2209. Which is the closest to i? (a) -0.2 (b) -0.08 (c) 4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 - -24?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -708*c + 278531. What is o(396)?\nAnswer: -1837","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 573?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5177 and 394909.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(2\/5)*n*n\/((n\/(n*n**(-2\/9)))\/n)*(n\/(n*n*n*n\/n**(-1\/4)*n))\/n**(-4))\/((n*n**(-5\/2)*n)\/n**(-4\/5))**(-7\/5) assuming n is positive.\nAnswer: n**(3913\/900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -5*c**3 - 496*c**2 + 1486*c - 23. Give x(3).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*f - 11 - 15 = 0, -1 = -3*q - 5*f. Let l(r) = r**2 + r. Let x be l(-2). Suppose 21 = 5*y - x*y. Are q and y equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = 28*l - 30*l. Calculate the remainder when l is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.048379977 + -735716.\nAnswer: -735715.951620023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/27*(-117)\/(-130).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -44*p - 7. Let a(x) = -15*x - 2. Give 7*a(t) - 2*r(t).\nAnswer: -17*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -12*-31.203\nAnswer: 374.436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1857?\nAnswer: 3, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (9\/6)\/(300\/(-430)) and 79\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28904?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 1561 divide 55412223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 u, 1 c, and 1 k when four letters picked without replacement from {u: 1, j: 2, k: 4, c: 3}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - 5*c - 5*t - 1963765, 0 = 4*t. Let d = c - -688756. Suppose m = -m + b - d, 2*m + 5*b = -295985. Round m to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1043922, -2087856, -3131792, -4175730, -5219670, -6263612?\nAnswer: -7307556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 463236259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (43\/4)\/(1\/((-471105)\/(-15) + 5)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 4*h - 4*n, h = -4*h + 4*n + 43. Let y = 4 + 1. What is the second derivative of h*t**y + 76*t + 3*t**5 - 2*t**5 - 82*t wrt t?\nAnswer: 160*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 - (5 + -8)\/(9 + -16)*7?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by 4.\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -s**5\/10 + s**4\/6 + 3*s**2\/2 + s. Let y(n) = n**3 - n**2 - 1. Let o(w) = i(w) + y(w). What is the units digit of o(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 614799326 and -0.1405.\nAnswer: 614799325.8595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 5 = 2*h, -2*h + 23 = -3*f + 8. Let n(k) = k**2 + 5. Let j(w) = -6*w**2 - 24. Let l(y) = f*j(y) - 24*n(y). Let i(z) = z. Calculate i(l(b)).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -114.08098 rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -227*y - 393*y - 34100 for y.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 742, 751, 782, 847, 958?\nAnswer: 1127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**2 + 3*a**2 - 6*a**2 + (-3*a**2 + 7*a**2 - 2*a**2)*(0 + 2 - 1) + (-2*a + 4 - 4)*(1 - 1 - 2*a).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 9:01 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 17*v**3 - 20*v**2 - 69*v + 748. Is g(12) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 59, -2, -1332 in ascending order.\nAnswer: -1332, -2, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6636834 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o**2 + 7*o**3 - 4*o**2 + (2*o - 4*o + 4*o)*(-2*o**2 - 3*o + 3*o).\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 5*c**2 + 4*c + 1. Let x be z(4). What is the first derivative of x + 3*i**2 - 9*i**2 + 3 wrt i?\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 2)*(0*d**5 + 0*d**5 + d**5) + 3*d**5 + 0*d**5 - 4*d**5 + (d**2 + 0*d**2 - 3*d**2)*(-d**3 - d**3 + 0*d**3) - 2 + d**5 + 2.\nAnswer: 6*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 12*b + 5. Let c = 50 + -38. Let i be x(c). Suppose -195 = -0*l - 5*l - i*d, 2*d + 112 = 3*l. Does 7 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23133 (base 6) to base 11.\nAnswer: 2528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - 25*j + 28. Let l be t(-26). Let u = 6 + l. Calculate the least common multiple of u and 33.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3886086 is divided by 20?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 1. Let x(s) = s - 90. What is -x(w) + 3*z(w)?\nAnswer: -w + 93","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.04, 52, 0.5?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**3*s*s)\/s**(-2\/11))\/(s**(-1)\/s)**(-19)*(s**2*s**6)\/(s**1)**(-49) assuming s is positive.\nAnswer: s**(277\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 16 = -5*f + f, 3*p - 2*f - 15 = 0. Find the first derivative of 1 + 0 + p*t - 8*t wrt t.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 3*z**2 - 3*z + 16. Let r(k) = -k**3 + 4*k**2 + 4*k - 18. Let w(f) = 7*p(f) + 6*r(f). Let g = 8 - 11. Calculate w(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 15 = 3*j, 9*a - 7*a - 22 = -8*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 445015 or 445018?\nAnswer: 445018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 218, -1316, -5442, -13456, -26654, -46332, -73786, -110312?\n\"Answer: -216*b**3 - 22*b + 456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -3, 5*q - 76*r = -79*r + 12224. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5034 is divided by 1665?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6960 and 6380?\nAnswer: 76560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 1 + 0)*((2*r**2 + r**2 - 4*r**2)*(3 - 3 - 2) + 0*r**2 + 0*r**2 - 4*r**2).\nAnswer: -20*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(13\/3))\/y**(-1) assuming y is positive.\nAnswer: y**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3142863027 to the nearest integer?\nAnswer: 56061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 101?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 843?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6046 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 44 - 16 - 27 - -20\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 11 = x + 11, -2*x - 3*n = 23. Let v be x - -16 - (2 + -1). Let l be 3\/10*v\/18. Is l greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 217002?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 3*q + 278 - 263 = 0, 0 = 2*s - 4*q + 24 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12528605?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -1. Let b(t) = t**2 + s*t - 7*t - 1 + 1 + 1. What is the remainder when b(7) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = 68*a - 79*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2241613 (base 7) to base 4.\nAnswer: 1010021323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s + 7*s + 192 = 0. Let h(t) = -3 - 8*t**2 - 8 - 4*t**3 - 15*t**2 - 11*t + 11*t**2. Is h(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 144. Does 21 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 4:11 AM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - 12. Let q = 6 - 13. Calculate the remainder when 8\/28 + (-257)\/q is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4266*f**3 - 190*f + f**2 - f**2 - 84*f - 3268*f**3 wrt f?\nAnswer: 5988*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.2835 rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t + 5 - 18 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 8, -12 in descending order.\nAnswer: 8, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s - 2. Give g(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w + w**3 + 495*w**4 + w**2 - 995*w**4 + 492*w**4 to c*w**3 + g*w + u*w**2 + k*w**4 + y and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/12 - -17\/60. Sort n, -7, 0.1.\nAnswer: -7, 0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000047420504 to 7 decimal places.\nAnswer: -0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7771 is divided by 1545.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1907 - 1907. Which is the second biggest value? (a) -1\/4 (b) 3\/188 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 751195.4 litres?\nAnswer: 751195400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 16*v**2 + 15*v - 45. Let d be o(-17). Let k(r) = -r - 18. What is k(d)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 9 = -2*y - 0*r, -y = 5*r - 12. What are the prime factors of (-855)\/(-2) + y*5\/30?\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -702 + 724. Suppose g*w = 4*w + 22392. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 14. Let y = 3.1 - 3. Let w(r) = 164*r + 657. Let z be w(-4). Which is the fourth biggest value? (a) 0.4 (b) z (c) x (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.334937 to 1 decimal place.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 7399380.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 152569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 538 * -51112.\nAnswer: -27498256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -79794 - 2?\nAnswer: -79796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -9*t + 19. Let g be z(-4). Let d = 33 + g. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218891657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95874.75 centuries to months.\nAnswer: 115049700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 2*d = -90, 5*v - 3*d = 7 + 58. Calculate the remainder when 509 is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 12*o**5 - 423*o**4 + 3108*o**3 + 10782*o**2 + 10488*o + 3249 = 0.\nAnswer: -1, -3\/4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 102336, 204441, 306544, 408645, 510744, 612841?\n\"Answer: -n**2 + 102108*n + 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -169 + 190. Calculate the remainder when f is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 12 = 2*o. Let a be ((-2)\/o - -1) + (-21 - -20). Let g = -2.85 + -0.15. Sort -14, a, g, 3 in descending order.\nAnswer: 3, a, g, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 39*o**2 + 8*o + 8. Let l be b(-1). Let m = 109 - 71. Suppose m*q - l*q + 70 = 0. Does 7 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5370 and 100932730?\nAnswer: 1790","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1420 + -2213?\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 76 - 177. Let n = f + 101.5. Which is the second smallest value? (a) -4 (b) 2 (c) -0.2 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2*i - 12 = 0. Is (-898)\/(-1)*(-2)\/i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 4)*(-f - f + 3*f) - 2*f + f + 0*f + (0*f + 2*f + 0*f)*(1 - 3 + 0) + 2 - 2 + f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*m, -12 = 4*j - 5*j - 3*m. Let l(k) = 5*k - 2*k - 2*k**2 - j*k. Let r(q) = -3*q**2. Calculate l(r(b)).\nAnswer: -18*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8765*a**2 - 110*a + 110*a + 2.\nAnswer: -8765*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -378b (base 15) to base 3\nAnswer: -121020012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.7+2.26\nAnswer: 2.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19630182773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i + 2*i + 5 - 3*i - 10 - 3*i.\nAnswer: -i - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and -4348905914104?\nAnswer: 4348905914104.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 15220 to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 3*d + 4*b, 3*d - 2*b - 2*b - 6 = 0. Suppose -5*f + 4*v = -24, 5*v = f + 3*v - d. Suppose 0 = -c + 3*c - f. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11.2687 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 62060 and 551?\nAnswer: 1179140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1208, 2417, 3626, 4835, 6044, 7253?\n\"Answer: 1209*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*c - 4717 - 74 = 8343. Calculate the remainder when 3776 is divided by c.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 3 - (-6 - -5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -5. Suppose -d*c - 8 = -3*x, 5*x + 3 = -2*c - 5. Suppose -i = -x + 2. Sort i, -5, 2 in increasing order.\nAnswer: -5, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -c**6\/120 - c**5\/60 - 2*c**2. What is the tens digit of j(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -r + 2\/3*r**3 + 0*r**2 + 1. What is the units digit of n(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 22, 74, 206, 466, 902, 1562, 2494, 3746?\n\"Answer: 8*w**3 - 8*w**2 + 20*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 68\/20 + -3 + (-3474)\/(-15). Suppose 2*x = -v + 115 + 651, -x = -3*v - 369. Let c = x - u. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2663021 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -622 * 0.065\nAnswer: -40.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6830, 7373, 8276, 9533, 11138, 13085, 15368, 17981?\nAnswer: 20918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47158, 47278, 47492, 47842, 48370, 49118?\nAnswer: 50128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -68*l + 494947 - 146515. List the prime factors of l.\nAnswer: 2, 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*b - 2*b**2 - 27*b - 4)*(82 - 82 + 2*b).\nAnswer: -4*b**3 - 8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136811 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 2) to base 9\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d, 0*d - 2*d = 2*r + 6. Let z = -0.16 - -0.06. What is the nearest to z in 3\/4, 5, r?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 193\/45 + -38\/9. Let s(n) be the second derivative of -4*n - u*n**5 - 2\/3*n**3 + 2\/3*n**2 + 0 - 5\/12*n**4. Determine z, given that s(z) = 0.\nAnswer: -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1395703952 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7554, 34746, 80060, 143490, 225030?\nAnswer: 324674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - d**2 + 3*d + 4. Let f be x(0). Let g(q) = -5*q**3 - 2*q**2 + 4*q - 2. Let k(m) = 4*m**3 + m**2 - 3*m + 1. Determine f*k(z) + 3*g(z).\nAnswer: z**3 - 2*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 16 = 12*v. Which is the fourth smallest value? (a) -3\/4 (b) v (c) 0.5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -6*t + 15. Let w be z(9). Let j = w - 28. What is the common denominator of -14\/3 and j\/27*6\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, k: 1, j: 1}. Give prob of sequence kj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -498 = -3*u + 360. Is u\/12 + (-8)\/(-48) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((0\/5)\/3)\/1. Suppose f = -16*h + 2*h + 840. Suppose 0 = 4*n - r - 160, -200 = -4*n - n + r. What is the highest common factor of n and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - 206*f - 809. Determine g(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4418969?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u + 9. What is the units digit of x(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/53, 4\/97, -0.3, 1\/8, -4\/7?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -2*l - 14, 0*l + 4*l = 2*a - 12. Let j be a\/(-3) + (-4)\/12. Factor j*n**5 + 0 - 1\/3*n**4 - n**3 + 5\/3*n**2 - 2\/3*n.\nAnswer: n*(n - 1)**3*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28044 is divided by 157?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -209 + 233. Suppose 0 = 2*x - 3*y - v, x = 5*y - 4*y + 12. Calculate the remainder when 31 is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*b - 108*b - 144*b - 158*b + 557*b**3 + 552*b.\nAnswer: 557*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -6. Let f = 5 - b. Suppose -l - 3*l + 3*v = 0, -f*l + 17 = 2*v. Solve 1 = l*t + 7 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 124 = i + 152, -5*i = 10. Calculate the smallest common multiple of f and 20.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000209817 rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17223?\nAnswer: 3, 5741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 212 - 121. Let p = -90.6 + y. What is the fourth smallest value in -1, 1\/7, 2, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 13 - 3. Let p be 4\/(m\/(-6)) - 0. Let z be 38\/((-4)\/(-2)) - -1. Solve 0 = h + p*h - z, -3*h = d - 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -43333 + -1132?\nAnswer: -44505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, d: 13}. What is prob of sequence diii?\nAnswer: 65\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 420783205?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -5\/2*h**2 + 2 + h. Give i(-6).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gk when two letters picked without replacement from ogfxkkkigoo.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -30.7 smaller than 1376?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5715848.\nAnswer: 2, 714481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12 + -9*10\/15. Is -4*((-11014)\/8)\/(p\/6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16961194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 50*f - 54. Let w be z(3). Let v(t) = -t - w + 50 + 43. What is v(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-two sevenths of a week?\nAnswer: 46080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 5*o - 19. Let s be h(-7). Suppose 0 = p - 2*t - s, 7*t = 6*t - 5. Does 50 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -115, -267, -479, -751?\nAnswer: -1083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.7751961778 minus -4?\nAnswer: -41.7751961778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 6*n. Let v(z) = -175537*z**2. Determine d(v(r)).\nAnswer: -1053222*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1673 times 337?\nAnswer: -563801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15 - -4)*(-3 - -2). Suppose -4*o - 1 = k. Let i = 19 + o. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 9181314?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2479932, -9919735, -22319406, -39678945?\n\"Answer: -2479934*c**2 - c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 620 + -356. Let t(n) = 0 - c*n + 267*n + 0. Let d(z) = 5*z. Determine d(t(y)).\nAnswer: 15*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + (0 - -1)*2. Let w(y) = 2*y - 4*y + 0*y + x*y. Let d(b) = b. Calculate w(d(o)).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 84 and 128114070?\nAnswer: 256228140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 12*w = 252. List the prime factors of w.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 249*j**2 - 3*j + 4. Let l = -2 - -3. Let t be (-3)\/(l + 2\/(-8)). Let z be d(t). What is z rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -9. Suppose -9 = -3*w + 3*g, -4*w - 3*g + 6*g = -11. Let h(z) = 0 - z**q + 0 + w*z. Determine h(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -181.\nAnswer: -1\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*p = -110*p - 4*k + 12, 6 = 2*p + k for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 42000756 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-4)*(-10)\/(-4). Suppose 3*l + 5 + 4 = 0. What is the biggest value in l, 3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10189, -20441, -30693, -40945?\n\"Answer: -10252*g + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 441.0214 microseconds to seconds.\nAnswer: 0.0004410214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*t = 0, -q - 3*t - 7 = -3. Calculate the least common multiple of 5 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -10.18534 and -0.2.\nAnswer: -10.38534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 4:00 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 22\/7, -13, -8, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*s - 70 - 105 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(396))\/(1*sqrt(12)\/sqrt(3)).\nAnswer: 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 7:38 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 20, -12, -72, -160, -276, -420?\nAnswer: -592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**3\/3 + 14972*h**2\/3 + 9191296*h\/3 + 9176320\/3 = 0. What is h?\nAnswer: -536, -1, 4280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 - -21) + 0 + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*b**6 + 36*b**4 - 115*b**2 wrt b.\nAnswer: 360*b**3 + 864*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1285 bigger than -1284?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-149)\/(107280\/1620))\/((-3)\/20)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1422 (base 9) in base 4?\nAnswer: 100301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 351761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55 and 630.\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 153 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 times 0.4644\nAnswer: 0.041796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.6 - -1.6. Let s = -2.01 - -0.01. Let z = -4 - -9. Which is the closest to s? (a) z (b) 0.2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 2.8. Let l = -24 - -22. Let q(x) = -4*x**3. Let k be q(1). Which is the nearest to 0? (a) y (b) l (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 296 - 142 = 0. Suppose 2*u + v + 177 = 0, -4*u = v + 146 + 203. Let i = b + u. Is 15 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(77) + (sqrt(77) + -2*sqrt(77) - sqrt(77) - sqrt(77))*2 + (sqrt(77) + 1*sqrt(77) + sqrt(77))*-4 + sqrt(77))\/(6*sqrt(28) + -2*sqrt(700)))**2.\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 138\/973 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/4 (b) 0.09 (c) 5 (d) 7\/42298 (e) -3 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 441229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 134171, 134237, 134301, 134363, 134423, 134481, 134537?\nAnswer: 134591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 630460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + g - 57 - 167, 0 = 3*g + 3. Let s = b - -14. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 at most 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 24*g**2 + 548*g + 78. Determine t(-23).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 10 = -11*z. What is the remainder when 560\/72 - z\/(-9) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c - 5*r + 4, 3*c - 727*r = -725*r + 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5398 - 5381 - (-1 - -51 - 1).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -76062 divided by -4637\nAnswer: 76062\/4637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/112)\/(-62 + (-44166)\/(-714)).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f + 4. Let x be s(4). Let b(t) = -t**2 + 13*t + 2. Let a be b(x). Suppose -182 = -4*z - a. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**2 + 7*i - 13. Let g(l) = 3*l + 4. Let w(v) = -4*g(v) - n(v). Give w(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(2*d + 107*d**2 - 2*d + (-4*d - d + 3*d)*(-3*d + 6*d - 2*d) + 2*d**2 + 4*d**2 - 3*d**2) + (-3*d - 3*d + 4*d)*(-4*d + 4*d - d).\nAnswer: 218*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -3\/2 (b) 0.025 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 13648, 28369, 43090, 57811?\n\"Answer: 14721*u - 1073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1022428 to the nearest integer?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-3))\/5*240\/(-32)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*i - 3*i**2 + 10*i)*(0 - i + 0)*(7 - 3 + 4).\nAnswer: 24*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 13.2. Let m = d - 1.8. Suppose -b + 5*b = 4. Is m at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57207103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 198 and 387.\nAnswer: 8514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 26*z**3 + 4*z - 4. Let q be p(1). Calculate the highest common divisor of q and 1924.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -310.\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 6:51 PM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus 9817105?\nAnswer: 9817109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -26*m**3 - 5*m**2 + 3*m - 23. Let v(b) = 9*b**3 + 2*b**2 - b + 8. Determine -8*v(d) - 3*x(d).\nAnswer: 6*d**3 - d**2 - d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/6 - 2 - (-82)\/123.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7896.63669 - 30575.\nAnswer: -38471.63669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-68)\/24)\/((-744)\/(-189) + -4). Is 45 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a - 2*a - 4, -8*w - 116*a + 115*a + 48 - 171 = -w for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/4 - (0 + 2 - 5). Let d(r) be the second derivative of -4*r - 9\/14*r**7 - 99\/20*r**5 + 29\/10*r**6 + 0*r**2 - r**3 + j*r**4 + 0. Factor d(w).\nAnswer: -3*w*(w - 1)**3*(9*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 23 = 8 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(68) + -1 - (sqrt(17) - ((-1*sqrt(153))\/sqrt(9))**2)) + (6*(-1 + (-2 + sqrt(2057) - sqrt(2057)) + sqrt(2057) - sqrt(2057)))**2.\nAnswer: sqrt(17) + 340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*f**6 + 18*f**4 + 2834113*f**3 - 249809206*f**2 wrt f?\nAnswer: -360*f**3 + 432*f + 17004678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5*(-10)\/(-575) - (-14478)\/138. Let u = 105 - t. Solve -1\/3*b**4 + u + 4\/3*b - 3*b**2 + 2*b**3 = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 6*w - 8. Determine c(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*z - 4 = -68*z + 4*u, 2*z - 41 = -5*u for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 187315 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 3*c**3 + 101*c**2 - 490*c + 152 = 0.\nAnswer: -38, 1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -422, 3, -3, 0.3 in descending order.\nAnswer: 3, 0.3, 2\/7, -3, -422","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52\/14 + (-46244)\/(-7357)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.41 - 2.41. Let h be ((-13)\/(-39))\/(4 - (-138)\/(-36)). Sort p, -114, h.\nAnswer: -114, p, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298*u + 1 = 295*u - 4*m - 14, 18 = -3*m for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 2:21 PM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 12*k - 7. Let h be o(11). Suppose -v - 142 = -0*v - h*q, 5*v + 3*q + 595 = 0. Let u = 176 + v. Is u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1220 - -2616. Suppose -p = -24*k + 716. What are the prime factors of k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, e: 1, u: 3, i: 2}. What is prob of sequence eie?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/((-4)\/8)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -205*f**3 - 3*f**2 + f + 4. Let h(d) = -204*d**3 - 3*d**2 + 2*d + 5. Let n(u) = -2*h(u) + 3*t(u). List the prime factors of n(-1).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 264*k + 66*k - 77*k.\nAnswer: 253*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3280, -8379, -13478, -18577, -23676, -28775?\n\"Answer: -5099*t + 1819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/(-16725))\/(1851\/(-6170)).\nAnswer: -2\/223","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 1084 = 5*m, -10*v = 2*m - 11*v - 431. Does 36 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a2b4df (base 16) to base 2\nAnswer: -101000101011010011011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 735 - 579. What is the remainder when n is divided by 79?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 5) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 297975 and 200825?\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 8:05 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**3 + 9*d**2 + 86*d + 3. What is the units digit of g(11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 11 = 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 16\/14*(-42)\/(-12).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 i, and 2 a when four letters picked without replacement from iaoiaraao.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*b + 14*b - 4*b - 1 as w + k*b and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 100 + 3?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2518?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93, -2155, -4403, -6651, -8899?\nAnswer: -11147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11791, 10364, 8937, 7510?\n\"Answer: -1427*q + 13218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2 - 4*f - 2*f - 2*f. Suppose 4*k = 7*k + a - 40, -40 = -5*k + 5*a. What is the remainder when c(-4) is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*(f**(-5)*f*f)\/f)\/f)\/f**3)\/(f**8*f\/f**(-2\/7)*f) assuming f is positive.\nAnswer: f**(-121\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -60, -160, -288, -444?\n\"Answer: -14*l**2 - 58*l + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 + 2)*(-3 + 3 - j**2)*(j**2 + 3 - 3) as z*j**3 + o*j + h*j**2 + y + b*j**4 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a**2 - 5*a - 5. Let h(m) = m**3 - 5*m**2 - 2*m + 5. Let n be h(5). Let c = n + 0. Let z(l) = l**2 - l - 1. Calculate c*z(i) + q(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tbtz when four letters picked without replacement from tbzccbbtzczbt?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**5 - m**3 + m**3 - 2*m**5 - 4*m + 4*m + (m**4 - m**4 - 2*m**4)*(4*m - m - m) + 0 + 2 - 5 - m**5.\nAnswer: -6*m**5 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 8 = -4*q, -3*n = -2*n - q - 7. Let h(v) = v - 1 + n*v**3 - 7*v**3 + 2*v + 0. Is h(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ieee. What is prob of sequence ee?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1165 + -1165.2586. Let i = -0.277 - j. What is i rounded to three dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -1001100011010010001000?\nAnswer: 1001100011010010000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 29.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 458*n = -214125 + 166035 for n.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 135385 by -5.\nAnswer: -27077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -5*j**3 + 76980*j**2 + 5723535*j + 5646550 = 0.\nAnswer: -73, -1, 15470","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 + 18 + -20 - -144914 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1251460960 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 16\/3 (b) 1 (c) 8703\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 69?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19552*t = -19537*t - 7320. Calculate the remainder when t is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*(x*x**(-7\/6)*x)\/x*x))\/x*x*x**(-3\/4)\/x)**(22\/7)\/(((x**(3\/4)\/x)\/x**(-1\/2))\/(x\/x**(-4)*x**(-7))) assuming x is positive.\nAnswer: x**(-871\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/40*16\/28)\/((-121)\/110)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ubueeuuvzbbubub. Give prob of picking 1 u and 1 v.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36633267 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 675 = -0*v. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u**2 - 4*u + 10. Let b = -352 + 353. Let s be (b\/6)\/(8\/120)*-2. Let m(o) = 4*o**2 + 5*o - 11. Calculate s*l(x) - 4*m(x).\nAnswer: -x**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 8*d**2 + 5*d + 16. Let y be t(7). Suppose 6*g + 24 = 10*g. What is the units digit of 3 + g\/(-3) + 232\/y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 6*q + 5. Suppose 3*y = -2*l + 76, 4*l + 3*y - 155 + 15 = 0. Suppose 7*i - l = -4*g + 11*i, -2*g - 3*i = -6. Solve -16 + g = -q*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -310 - -114.\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -1733*j - 1. Let f(a) be the first derivative of -a**2 + 3408. Determine l(f(o)).\nAnswer: 3466*o - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 5*a**2 + 3*a - 19. Calculate v(-6).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 11*s**2 + 70*s - 45. Determine a(-9).\nAnswer: -513","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d + 10. Let u be c(-6). What is the lowest common multiple of 28 and (-260)\/(-50) - u\/10?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p - 24 + 24. Let x(l) = -2*l + 2281 - l - 2281. Determine r(x(j)).\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -3\/7 (c) 49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/5)\/f**(-8\/3))\/(f*f**5*f**(1\/11))*(f*f**(-5)*f**10\/f)**11 assuming f is positive.\nAnswer: f**(8576\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -7*u - 24. Let y(v) = 3*v + 12. Let d(k) = 2*w(k) + 5*y(k). Is d(-7) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 5*f + h + 15, -3*f - 2*h + 7 = 0. Let c(w) = 13*w + 1. Let a be c(f). Let z(j) = -3918*j - 16. Let q be z(a). Round q to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (12 - 6) - 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 8 + 14*t - 7.\nAnswer: 14*t + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-122)\/1037 - (19\/(-17) - 1). Let w(r) be the first derivative of h*r + 2*r**3 - 1\/2*r**4 - 3*r**2 + 7. Determine x so that w(x) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2516832, 5033684, 7550536?\nAnswer: 10067388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 3*f = 19, -23*f + 21*f = -5*u - 10 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 16*r + r**2 + r**2 - 16*r. Let d(k) = 840*k. What is d(l(h))?\nAnswer: 1680*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05048691 rounded to four decimal places?\nAnswer: 0.0505","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9031 = -2*o + o. Let w = o + -6108. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*q + 24*q - 231*q)*(0 - q + 0).\nAnswer: 167*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1975 + 1992.79. Let v = i - 0.79. Let q = v - 18.43. Round q to one decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 8*i**2 + 8*i + 10. Let t be q(9). Let c be (39\/26)\/((-9)\/(-2))*-1. What is the closest to c in t, -0.06, 3\/4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -65*c + 4. Let s = 320 + -362. Is w(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1606, -6072, -13516, -23938?\nAnswer: -37338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1955599501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.9 + 3.7. Let o = w + 0.2. Let i = o + 3. Put 4, i, 2 in descending order.\nAnswer: i, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -8*r - 74. Calculate the least common multiple of 87 and g(-10).\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.3673l in millilitres?\nAnswer: 81367.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/4)\/((-3)\/(-12)). Let c be ((-4)\/(-6))\/(p\/(-24)). Let u be 8\/12*15*2. What is the greatest common factor of u and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*u**5 - 163075*u**4 - 101531265*u**3 + 945111095*u**2 + 1248890230*u - 2092306920 = 0. What is u?\nAnswer: -1259, -2, 1, 132\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-3))\/(2\/(-1884)). Let v = j - 14. Does 57 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -272?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 65951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*-1*6)**2 - (-3*(sqrt(11) + 1))**2.\nAnswer: -18*sqrt(11) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 1. Let r(d) = 8*d**2 - 6*d. Let j(x) = -x**2 + x - 1. Let h(p) = 6*j(p) + r(p). Give 4*b(a) - h(a).\nAnswer: 2*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2. Let d = -11 - -9. Let u be (-5)\/d*(-12)\/(-15). Let l(i) = i**2 - 5*i**2 + 9*i**u. What is w(l(m))?\nAnswer: 25*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 43*n**2 - 37*n - 206. Let p be t(42). Let s(r) be the second derivative of 0 + r + 4\/27*r**3 - 1\/54*r**p - 4\/9*r**2. Factor s(o).\nAnswer: -2*(o - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -326, -659, -992, -1325, -1658?\n\"Answer: -333*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*r**2 - 4*r**2 + 90*r**3 - 2*r**4 + r**4 - 7*r**2 wrt r.\nAnswer: -24*r + 540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2*m = -3*p + 52, -p + 4*m = 4. Let h = p - 7. Suppose 0 = -h*q - 35 + 15. Which is the nearest to 1? (a) q (b) 0.2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -6. Suppose 0 = c + 3*n + 4, 2*c - 6*c = 3*n - 11. Let y = c - q. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 111940 = -197660. Let p be (75\/2)\/(3\/b). Round p to the nearest ten thousand.\nAnswer: 770000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -106, 4, -0.17, 1\/5, -4\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4439683036?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 46 - 99?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by 62.\nAnswer: -8\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 788657926?\nAnswer: 2, 7, 43, 1310063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 3*i**3 + 14139*i**2 + 15914502*i - 31885584 = 0?\nAnswer: -2851, -1864, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ycjycycpnkck. Give prob of picking 1 c and 1 y.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 1593.54.\nAnswer: -7967.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -4*p**5\/5 - 7*p**4 - 44*p**3\/3 - 10*p**2 - 1. Factor u(j).\nAnswer: -4*j*(j + 1)**2*(j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 1 - 1)*(-4*d**2 + 2*d**2 + d**2) + (-6*d**3 - 7*d**3 + 4*d**3)*(-1 + 5 + 2).\nAnswer: -55*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6*(-1)\/(-8)*(12 + -16). Let d(g) = 4*g**2 + 2*g + 2. Let l be d(-2). Suppose l*k + 2 = 13*k. Sort 1, r, k, 2 in ascending order.\nAnswer: r, k, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -176 + -0.1041.\nAnswer: -176.1041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-8))\/(y**(-2)\/y)*y**(-1\/5)\/y**(6\/7))**40)**45 assuming y is positive.\nAnswer: y**(-63720\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((z\/(z*z*(z*z*(z*z\/z**(-1\/5))\/z)\/z*z))\/z*z)\/z*z)\/z)\/z)\/z*z**(1\/5)*z**(-1\/9)\/(z*z*(z**20\/z)\/z) assuming z is positive.\nAnswer: z**(-244\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 361, 397, 433, 469?\n\"Answer: 36*q + 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of j**6\/120 + j**5\/30 + j**4\/12 - 8*j**2. What is r(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -158ca6b (base 13) to base 5\nAnswer: -3234034110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 18 + 27. What is the common denominator of (-3)\/(-18)*(-496)\/(-24) and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10678\/19 + (10 - 2). Let i = 570 - g. Solve 3*j - 2*p - 1 = 1, i = -3*j + 5*p - 13 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 - -44. Is 4 a factor of (-2)\/d + 64200\/500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2326 - 2323. Solve k*l - 2 - 2 = -i, -2*l + 5*i = -31 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2 = 6*h + 2*w, 3*h - 5*w = 26. Suppose 4*b + r - 12 = 0, -3*b + 12 = -7*b + 5*r. What is the remainder when 3 - ((-16)\/h - -4) is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 2*p**5\/55 + p**4\/22 - 34*p**3\/33 + 15*p**2\/11 - 2609. Solve w(q) = 0 for q.\nAnswer: -5, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(27) + 1)*5 - sqrt(27) - sqrt(162)\/(sqrt(6)*-2))*-2*6)**2.\nAnswer: 311040*sqrt(3) + 1317312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1792 by 448.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -23 + (9 - -6) + 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(25)\/sqrt(5)*6.\nAnswer: 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*c + 259*c - 594 = 410 + 1944 for c.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/(-4)*1203\/(-5614) + 1893\/1532. Which is bigger: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2 + 1 + m**2 - 1. Let h = -28 + 13. Let g be h\/(-10) + (-3)\/2. Determine a(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -78*f + 49. Let m(s) = 174*s - 98. Give 13*a(o) + 6*m(o).\nAnswer: 30*o + 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 a when four letters picked without replacement from {a: 4, p: 3}.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 348703177 to the power of 1\/2, to the nearest integer?\nAnswer: 18674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l + 159. Let o be y(0). Suppose 0*j - 5*j = 0. Suppose s + 2*s - o = j. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j - 6. Give s(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -26 + 2. Let c(i) = -7*i**2 - 15. Let b(g) = 2*g**2 + 4. Suppose -3*m + 110 = 2*m. Determine m*b(w) + t*c(w).\nAnswer: 2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.02559 millilitres in litres?\nAnswer: 0.00202559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5267, -10535, -15803, -21071, -26339, -31607?\nAnswer: -36875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/97, -34\/25, -0.01 in descending order.\nAnswer: 3\/97, -0.01, -34\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 7:39 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 6 + 30 = 5*d, r + 3*d = 9. Let o(h) = -h**3 + 7*h**2 + 20*h - 13. What are the prime factors of o(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 108 (base 9) to base 14.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2145 and 116545.\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -74 + 101. Suppose 0*v + 390 = 5*v. What is the remainder when v is divided by z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) - (sqrt(1900) - sqrt(1900)*1) - sqrt(95)\/sqrt(5)*6)**2.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.6733 times -5?\nAnswer: 78.3665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64477 = -4754*o + 139655 + 159576 + 35628 for o.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -80 - -82. Let o(y) = -5*y + 11. Let r be o(v). What is the units digit of r\/(-3) - 14*172\/(-24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -7 + 12 - -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31.6 + 31.4. Which is the third smallest value? (a) 1 (b) -2\/7 (c) w (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 16 (b) -3747 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/5 + 28*t\/5.\nAnswer: -t*(t - 28)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 4*r + 7 = 0, -5*r - 2 = -4*m - 7*r. What is the closest to -8 in 3, m, -2\/3, 0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4478.\nAnswer: 2, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -669*h + 11329 + 678*h - 5634 - 5695.\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7725 - -7712. Which is the fourth smallest value? (a) -0.5 (b) -4 (c) -0.1 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*c + 75*c + 666 = 0 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -239, -474, -711, -950, -1191, -1434?\n\"Answer: -z**2 - 232*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1237, -2690, -4237, -5884, -7637, -9502?\nAnswer: -11485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/6, 0.01, -2\/7, 7?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2991 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 4\/3*q - 2\/3*q**4 - q**3 + 4\/3*q**2 + 1\/3*q**5.\nAnswer: q*(q - 2)**2*(q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-1))**(-48)\/(i*i**1*i)**(-2\/15)*(i*i**(1\/3))**(-8)\/(i\/(i**(-3)\/i)*i**(-1)) assuming i is positive.\nAnswer: i**(-214\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 - 25. Suppose -5*c = u + 13, 3*u - f*c + 10 = 28. Let t(m) = 9*m**3 - m**2 + 2*m - 5. Let b(s) = 4*s**3 + s - 2. What is u*t(n) - 5*b(n)?\nAnswer: -2*n**3 - 2*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 2*h = 248, -1077 = -9*p + 4*p + 4*h - 821 for p.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 4)*(s - 1 + 1)*(-12*s + 5 - 5) as c*s**2 + m*s + r and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -160*m + 875. Let a(p) = 28*p - 146. Let w(u) = -34*a(u) - 6*k(u). Let t be w(36). Suppose -2\/23*c**t + 6\/23*c + 8\/23 = 0. What is c?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*v + 4. Suppose -4*k = -20, -2*s - v*k + 5*k = -294. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4862 = 3*x - 0*x, 0 = h + 5*x - 1224. Suppose h = 4*j + 410. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1157 and 6910583?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 2) + (3 - 28) + 19 + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.45 rounded to zero dps?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300)*-2 + sqrt(1300))*-2*-6.\nAnswer: -120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*z - 1475 = -v - 35*z, -4419 = -3*v - 3*z. Is v a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 7*x + 2. Let u be l(8). Let p be -3 - -52 - u*1\/2. Suppose 0 = 5*a - a - p. Calculate the highest common factor of 78 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/83 + 97\/581. Let s = -6.412 - -7.17. Let k = s - 0.358. What is the second biggest value in k, j, 3\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.31 and 4.\nAnswer: 17.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -175*t**3 + 6*t**4 + 175*t**3 + (-20*t**3 + 12*t**3 - 7*t**3)*(-2*t - t + 2*t).\nAnswer: 21*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**2 + x. Let b(r) = r**2 - r. Let m(t) = a(t) + b(t). Let n be (16\/(-5))\/(2\/(-10)). Let z(w) = n - w - 16. Give z(m(d)).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gpuufufgffu. What is prob of picking 2 f?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (18 + -11 - 3) - 13.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 5*q**2 + 3*q + 1. What are the prime factors of t(-7)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.084966 times -4\nAnswer: 0.339864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-8) + (-1)\/6. Let t(n) be the third derivative of n**2 - 1\/60*n**5 - 1\/8*n**4 + 0 + 0*n - z*n**3. What is t(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 541984577?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11712, 11736, 11774, 11832, 11916?\nAnswer: 12032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3527 + 70589\/20. Calculate the common denominator of s and -11\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 981.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113580251.\nAnswer: 59, 191, 10079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1028546, -1028544, -1028542, -1028540?\n\"Answer: 2*u - 1028548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 15. Let z(v) be the third derivative of v**4\/24 + v**3\/2 - v**2. Give z(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*x + 6*x + 4781. List the prime factors of x.\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -8*x**2 - 15*x + 4. Let m(y) = 6*y**2 + 16*y - 3. Give -5*m(c) - 4*t(c).\nAnswer: 2*c**2 - 20*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2161885, -2161939, -2161995, -2162053, -2162113?\nAnswer: -2162175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 - 6 = -3*y - 3*m, -5*y = -3*m - 31 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13861 (base 9) in base 16?\nAnswer: 24eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 38 (b) 4.5 (c) 3 (d) 0.35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s + 252*s**2 + 3*s - 2*s.\nAnswer: 252*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -2. Let f = 14 + a. Let b(j) = -3*j + j + f*j. Let z(x) = x. Calculate b(z(s)).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 989 + -522. Let q = x - 462. Which is the closest to -2\/7? (a) 0.1 (b) -2 (c) q (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14230?\nAnswer: 2, 5, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 134161472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3898072753505 - 0.06\nAnswer: -3898072753505.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 3 - 216115*y**2 - 2 - 37*y.\nAnswer: -216115*y**2 - 37*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*f - 127*f + 808 = 0 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f**3 + 121*f**2 + 93*f - 560. Let z be n(61). What is the greatest common factor of z and 609?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21218461 to the nearest integer?\nAnswer: 4606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 19 + (-89 - -78) + (-1 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 30d640c - 3?\nAnswer: 30d6409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from jjijjjjjjji?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10171947.\nAnswer: 3, 3390649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10\/19 (b) -27 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24494 by 11.\nAnswer: 24494\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 10011001100100 (base 2) to base 8\nAnswer: 23144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -12*m**2 - m + 3. Let i be c(3). Let n = 29 + i. Calculate the remainder when (-8)\/(-36) + n\/(-9) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 991 and 300501921.\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 - 1350\/(-9 - -6).\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 684418 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -109 - b2?\nAnswer: -1bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111222102200 - -10?\nAnswer: -111222102120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d + d + 18. Suppose -5*s = -10*o + 5*o - 6780, d*o - 6820 = -5*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, t: 2, q: 1, o: 2}. What is prob of sequence qt?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1783 + 3534. Suppose 0 = -13*k + 1629 + w. What are the prime factors of k?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/(-5) + (-2)\/(-5). What is the remainder when (6\/8)\/m*-4 is divided by (-2 - -1) + (-8)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2011000 rounded to the nearest one hundred thousand?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -6*t**3 - 13*t**2 - 17*t - 15. Let y(m) = 5*m**3 + 12*m**2 + 14*m + 15. Let r(d) = 4*s(d) + 5*y(d). Determine r(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1197 and 357?\nAnswer: 20349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19557*o**4 - 205*o**3 + 274*o**2 - 521*o + 398 wrt o?\nAnswer: 469368*o - 1230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -4\/826937?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 5*q**2 + 8*q - 6. Let c be n(6). Suppose 6 = y - v, -y + 0*y = 5*v + c. Do 4 and y have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f**2 + 77*f + 33. Let w be v(-26). Let q be ((-2)\/(-3))\/(2\/(-18)). Let x = w + q. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.4 - -0.6. Let s = -0.59 - -0.09. What is the second biggest value in j, -1\/8, s?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22 - 7 - 6) + (-1 - 47 - (8 - -10)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + 0 - (11 + (-6 - (-11 + 25)))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.087 + -0.187. Let w(z) = z**2 - 5*z - 2. Let o be w(5). Let m be -1 - o\/((-36)\/(-22)). What is the closest to y in 3\/7, m, 1\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 5. Let a = k - 8. Let n(j) = -j**2 + j - 4. Calculate n(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 4) to base 12\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 7*g - 57. Give i(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*h - 0*h. Let n(i) be the third derivative of h - 1\/6*i**4 + 2*i**2 + 0*i + 5\/6*i**3. What is the derivative of n(j) wrt j?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 6*c**2 - 6*c - 7. Calculate v(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91 + 25 - 3*m + 28 + 38.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.86 - 0.8. Let i = -25.2 - -28.6. Let s = -7.4 + i. What is the nearest to -1\/4 in s, u, 0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 35*s**2 - s. Suppose 5*f = -0*f + 5. Let j be q(f). What is the highest common factor of j and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172769 is divided by 78?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6639448.\nAnswer: 2, 743, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4*(-6)\/24)\/(1\/2029) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8 times -0.28075?\nAnswer: -0.50535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -326 + 344. Calculate the greatest common divisor of 12 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 234.5 + 138.5. Let w = -374.7 + 712. Let y = p - w. Round y to the nearest integer.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 4*g - 5344, -4*c - 5*g = -12462 - 8859. Does 11 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-174)\/(-21) + 40\/(-140)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22345 is divided by 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4927, -5304, -5937, -6826, -7971, -9372, -11029?\n\"Answer: -128*v**2 + 7*v - 4806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -z - 17, 0 = 10515*q - 10514*q - z - 7 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/2327685 and -25\/1396611?\nAnswer: 6983055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d\/(d\/d**10)*d))\/d**(-1))**34 assuming d is positive.\nAnswer: d**(-340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -50*j + 284. Determine p(7).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.782 + -13990.\nAnswer: -13989.218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 26\/6 - (-5)\/(-15). Suppose i*d = d. What is d rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/69604 and 95\/46.\nAnswer: 1600892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3985.06845 + -3985. What is a rounded to 3 decimal places?\nAnswer: 0.068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21546913 by 742997.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -2425b?\nAnswer: 24259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 53548916 divided by 139?\nAnswer: 385244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 15c (base 13) to base 16\nAnswer: f6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -21*x + 11. Let g(a) be the third derivative of -7*a**4\/24 + 2*a**3\/3 - 98*a**2. What is 11*g(r) - 4*o(r)?\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -6*f - 2. Let b(m) = 1. Determine -3*b(u) + r(u).\nAnswer: -6*u - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(3\/2)\/w*w)**(-1))**(-2\/7) assuming w is positive.\nAnswer: w**(3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {w: 16, c: 4}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7502 - -7498. Which is the second smallest value? (a) 3 (b) d (c) 181\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.036, 1\/3, -2, 96, -1\/4, -1 in decreasing order.\nAnswer: 96, 1\/3, 0.036, -1\/4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.6 - -0.4. Let d = r + -1.4. Let w = 49\/220 - 1\/44. What is the closest to 0.1 in w, d, 3\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 569850 and 27510?\nAnswer: 3988950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 160\/29131 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/8, 1\/13, -3\/8, -0.2, 1\/4, -0.0589, 25?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f*j**2*q**2 + 482620*f*j**2 + 6*f - 27097882*j**2*q + j*q**2 with respect to f.\nAnswer: 2*j**2*q**2 + 482620*j**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2032 - -71?\nAnswer: -1961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1622?\nAnswer: 2, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 435 and 1495206.\nAnswer: 216804870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2791244261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r**2 - 5*r**2 + 0*r**2)*(-2*r - 1 + 1)*(-145 - 44*r + 145) to k + a*r**3 + i*r**2 + l*r**4 + d*r and give l.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*r - 44*r = -50. Factor 2\/7*z**4 + 0 + 18\/7*z**r - 12\/7*z**3 - 8\/7*z.\nAnswer: 2*z*(z - 4)*(z - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 59 = -c + 5*j, -4*c + 2*j = -102. Let l(w) = 6*w - 112. List the prime factors of l(c).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2*m + 1)*(2*m**2 - 3 + 3)*(0 - 2 + 5)*(-41*m + 2*m + 3*m) to the form k*m**2 + h*m**4 + v + i*m + b*m**3 and give h.\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 4*s**2 + s + 2. Let f be h(-4). What is the least common multiple of (-111)\/(-39) - f\/13 and 0 + (-24)\/(-18)*3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b*b**(-2\/3)))\/(b**5\/b))\/((b**(-4\/3)\/b)\/((b**(-2\/5)\/b*b*b)\/b*b))*(b**(1\/2))**(12\/7)*(b*b*b**(1\/3))**(1\/6) assuming b is positive.\nAnswer: b**(-97\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -296 = -4*d - 10*t, 0 = -2*t - 6 + 18. What is the greatest common divisor of d and 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of m**8\/2240 + m**6\/80 - 7*m**5\/60 - 10*m**2. Let t(s) be the third derivative of x(s). What is the derivative of t(k) wrt k?\nAnswer: 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4 = -0*f - 4*f, 5*c + 3*f = 23. What is the first derivative of -4*o**2 + 4 + c*o**2 + 4*o**2 wrt o?\nAnswer: 8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**3 - 7 + 7)*(-2 - y**2 + 0*y**2 + 3*y**2).\nAnswer: -6*y**5 + 6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6787*l**2 + 3397*l**2 + 3388*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vtt when three letters picked without replacement from {t: 7, v: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 52999*c - 1. Let f be o(-1). What is f rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1643 (base 10) to base 15\nAnswer: -748","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*g + 426 + 3*g**3 - 20*g - 527 + (-3*g - 2*g**2 + 3*g)*(0*g + 5*g + 0*g) - g**3 + 0*g**3 + 3*g**3 in the form l*g**2 + m + y*g**3 + r*g and give m.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/80 and 99\/496.\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -425, -458, -495, -536, -581, -630?\nAnswer: -683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.034 + -628.7?\nAnswer: -628.734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 3 = -3*g + 15, 16 = 5*u + 4*g. Solve 0 = 5*w - u*w + b - 9, 2*w + 3*b = 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of a**8\/10080 - a**5\/5 + 5*a**3\/6 - 43*a**2. Let u(s) be the third derivative of q(s). Let v(o) = -35*o**2. Give u(v(f)).\nAnswer: 2450*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 5*c = 7295, 72*c - 7340 = -5*l + 76*c. Let b = 78 + -54. Calculate the highest common factor of l and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/9209 and -8\/7979 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3)*b**10)\/(b**(-1\/2))**(-31) assuming b is positive.\nAnswer: b**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00013194396 rounded to five decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22.7 + 3.3. Let h = 47 - g. Let p = h + -20.9999945. Round p to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 3:25 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -1139*y. Let w(j) = -15*j. Give b(w(c)).\nAnswer: 17085*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -380, -242, -104, 34, 172?\nAnswer: 310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3602, -10427, -17252?\n\"Answer: -6825*c + 3223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42779, -44742, -46737, -48776, -50871, -53034?\nAnswer: -55277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v + 4. Let t be c(7). Is 1 bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 18 + (-12 - -6) + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 184\/260 - (91 - 33069\/365).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 6*y - y + 2280025 = 0, 5*a - 2*y + 5699990 = 0. What is a rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -8*y**2. Let g(x) = -131764*x**2. Give k(g(o)).\nAnswer: -138894013568*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -j**5\/60 - 9*j**4\/8 - 34*j**3\/3 - 11713*j**2. Give u(-21).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 3*l - 10. Let d be f(8). Suppose -7*q + 3*q - d = 3*j, -2*j - 20 = -q. Let u be (-4)\/j - (-4)\/(-10). Solve u*m = 4*m + 16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -112746 greater than -112748?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -1566*x**3 + 1123*x**2 + 12*x - 6. Let t(n) = -1565*n**3 + 1121*n**2 + 10*n - 5. Let d(r) = 6*t(r) - 5*v(r). Find the third derivative of d(g) wrt g.\nAnswer: -9360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 2*n - 17 = 9, -55*n = -185*k + 183*k + 98 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 4)*(-3*l**5 + 5*l**5 - 4*l**5) - 6*l**5 + l**4 + 2*l**5 - 4*l**5 - 2 + 2 + 3*l**5.\nAnswer: -3*l**5 + l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 6 = 3*f + 2*h, -4*f - 2*h + 14 = 0. Let d be (-16)\/f*27\/(-12). Find the first derivative of d*o**3 + 925*o**2 - 925*o**2 - 12 wrt o.\nAnswer: 27*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*x + 12. Suppose -x*u - 5 = 5*p, -6 = 5*u + p - 17. Let l be 2\/(-8)*(u - -53)\/(-7). Solve n - a - l + 4 = 0, 16 = 4*n + 2*a for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 57*f**2 + 3*f - 153. Let o be z(57). Calculate the greatest common divisor of o and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.272 + 7.\nAnswer: 8.272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 147 and 66472602?\nAnswer: 465308214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 46 = 2*s + 5*q, 3*s - q + 52 = 0. Let p = s - -15. Let g be -1*(-2)\/p*-3. Solve 6*a - g*a = 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 350 and 3038.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 0)\/((-4)\/(-888)). Suppose -4*c + 1514 = 2*f + 82, 3*c - 1088 = -5*f. Let w = c + o. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 j when two letters picked without replacement from {w: 1, j: 2, x: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.26 - 0.14. Let j = h - 0.02. Put j, -0.2, -2 in decreasing order.\nAnswer: j, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 35040.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 + 4*v + 2. Let f be k(4). Let s = -5 - -5. Let u be (s + 0)\/(-1 + -1). Solve -2*o + 7 = -3*o + f*g, u = -3*o - 3*g + 24 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 605 and 12463?\nAnswer: 62315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 61 + 7 + -66 + -17.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -3035038?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v + 55*v**3 + 84*v**3 - 84*v**3.\nAnswer: 55*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(11) + 1)**2 + 3 - 6*sqrt(99)).\nAnswer: -48*sqrt(11) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 340 and 1665.\nAnswer: 113220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 25*n**3 + 14*n - 4. Let d(s) = 3*s + 23. Let p be d(-8). Let l(g) = -g**3 + 1. Let a(w) = p*y(w) - 4*l(w). Find the second derivative of a(t) wrt t.\nAnswer: -126*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of m**6\/120 + m**5\/15 - m**4\/4 - 5*m**3\/3 + 2862*m**2. Give h(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**2. Let g(a) = -4770*a - 6. Determine g(d(q)).\nAnswer: 9540*q**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j + 1. Let p(y) = 4*y + 1. Let q(h) = 7*g(h) - 5*p(h). Calculate q(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18568*d**3 + 8 - 8 - 18555*d**3 - 7*d + 7*d.\nAnswer: 13*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 10:40 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*p + 1131 = -26*p - 1389 for p.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2*u**3 + 3)*(0 - u + 0) + 0*u**4 - 6 + 0*u**4 - 3*u**4 in the form f*u**4 + t + w*u**3 + a*u**2 + h*u and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -545372, -1090500, -1635628, -2180756, -2725884, -3271012?\nAnswer: -3816140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z + 1. Let v be j(-3). Let t(k) = -k**2 - 9*k + 5. Let s be t(v). What is the highest common divisor of s and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-1 - (-3 - -2) - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 89 - 29. Let w = 124 + n. Suppose 15 = o - t, -4*o - o = t - 63. What is the greatest common divisor of o and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(-1) + 7*3. Let x = g - 6. What is the remainder when 21\/(7 + 325\/(-52)) is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 7*f + 42 = 0, 0 = -n + 9*f + 56875 - 56843 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 952122.78 minutes in weeks?\nAnswer: 94.456625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 46 * 2994751.9\nAnswer: 137758587.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 16935.26751s?\nAnswer: 0.028001434375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3d (base 14) in base 15?\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*q**3 + 24*q**3 - 15*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -11. Suppose 2*h = -c*h. Let x be 0 + 2 - (h - 1548). What is x rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 0 + (4*sqrt(136)*-6)\/(-4*sqrt(800)).\nAnswer: -5 + 3*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 + (-27 - 21) + 52?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 5:09 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yytg when four letters picked without replacement from {h: 3, g: 2, y: 3, t: 8}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 4*x + 5. Let b be v(4). Suppose -7 = -4*t + b*u, -3*u = -3*t - t + 9. What is the first derivative of -2 - 3*z**t + 2 + 11 wrt z?\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 536 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x - 2*x - 4*x)*(6 + x**4 - 6) + 156*x - 3*x**5 - 156*x - 2*x**3 + 4*x**5 - 4*x**5 - 2*x**5 + (0*x**3 + 0*x**3 - 2*x**5)*(5 + 0 - 3).\nAnswer: -11*x**5 - 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -c + 1614631 - 3230785 + 1606371 in the form h*c + u and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u*u**0\/u)*u)\/u*u*u\/(u*u*u*u**(-3\/29)*u*u*u) assuming u is positive.\nAnswer: u**(-55\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.28976*102.9.\nAnswer: -29.816304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 5*t - 26, 0 = 3*z - 4*z - 4*t - 13. Suppose 5*i - 28 = -z. What is the third derivative of -3*a**i + a**5 - a**5 - 2*a**2 wrt a?\nAnswer: -180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - -38. Suppose o = 4*s - 29. Let z = 29 - s. What is the smallest common multiple of z and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1728 and 271558.\nAnswer: 273286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**2 - 6*k**2 + 3*k**2 + (k - 5*k + 2*k)*(3*k - 2*k + 0*k) + 141*k + 6237*k**2 - 12474*k**2 + 6235*k**2 - 1.\nAnswer: -3*k**2 + 141*k - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12614 and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 574998 is divided by 1150?\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 10. Suppose -4 = -f*m + 2*m. Solve 0 - 2 = m*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/15 >= -1\/2887?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(3\/(-102)*2). Suppose -l + 6 = -w. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8735341 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/16)\/(78 - 104 - (-372)\/16)?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2 = -55. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 271909 and 209.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -2*p - 14. Calculate the remainder when p is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 25*x**2 - 34*x + 281. Let l be t(-23). Sort 3, l, 0, 11, 4.\nAnswer: 0, 3, 4, l, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 98 + -94 + 55 + -185?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -9 - 3. Suppose 4*j + 408 = a*j. Suppose -559 = -5*o - j. Is o a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 623246446.\nAnswer: 2, 373, 835451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 8 = 3*v + 3*k, 2*k + 7 = -3*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 0. Let k = 9 + 11. Suppose 0*w - 2*w = 3*p + 2, k = 5*w - 5*p. Is w greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - ((-417)\/(-5) + (-12)\/30). Let f = z - -83. Solve f*k = -0*k - 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 525\/245*3\/(-15)*7. Let w = 0.4 - 4.4. Sort i, 2\/7, w in increasing order.\nAnswer: w, i, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1722, -1988, -2430, -3048, -3842, -4812, -5958?\nAnswer: -7280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/5)*q*(q\/(q\/(q*((q*q\/(q\/q**7))\/q)\/q*q)))\/q*q*q*q*((q\/(q*q\/(q*q**0)))\/q*q)**(-2\/55) assuming q is positive.\nAnswer: q**(57\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -3*m**4\/4 + m**3\/3 + 3*m**2\/2 + 2*m + 142. Is o(-3) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-16)*x**(-3\/10))**(3\/2) assuming x is positive.\nAnswer: x**(-489\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4780 + 4771. Which is the nearest to 6? (a) 1\/2 (b) y (c) 5 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1)\/(3\/12) - 1*-106 is divided by 41 - 1 - (18 + -13)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2410 + 211?\nAnswer: 2621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-140)\/84*(-174)\/(-1885).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(931) + 6*(sqrt(19) + 1 + sqrt(19)))**2.\nAnswer: 76*sqrt(19) + 6863","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-6) + (-6)\/(-12))\/(-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -1\/3*n**2 + 0*n + 2\/9*n**3 + 3. Factor p(k).\nAnswer: 2*k*(k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 5*h - 6, 0*y = -2*y + 4*h + 16. Suppose 2*p = y*p. Let t(s) = s**2 - s + 11. What is the tens digit of t(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t - 2. Let x be p(-5). Is ((-19)\/3)\/(x\/(-9)) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 411621739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1620000 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.466 - 13.466. Which is the closest to s? (a) 3 (b) -1\/4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -243*z**5\/20 + 7*z**3\/6 - 5*z**2 - 671*z. Find the second derivative of l(f) wrt f.\nAnswer: -1458*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1 (b) 209 (c) 0.4 (d) -30 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8860.7022 rounded to the nearest one hundred?\nAnswer: 8900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, e: 6, q: 3, g: 2}. What is prob of sequence nq?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00457334 rounded to four decimal places?\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 6. Suppose c*p - 6 = 2*p. Let z(d) = -d + 3. Let s be z(3). Solve -p*r + 0*r - 2 = s for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + i - 1 - 1)*(81*i**3 - 38*i**3 - 61 - 46*i**3 + (-i**3 - 2*i**3 + i**3)*(-5 + 1 + 2)) to the form b*i**4 + a*i + n + l*i**2 + v*i**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -160, -12, 0.4?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {g: 11, z: 3, v: 1, a: 4}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 10:59 AM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -5*y - y. Let f be (y\/15)\/(4\/6)*-2. Calculate the remainder when (1\/f)\/((-5)\/(-1060)) is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-20)*(-34)\/51.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -15.4*-0.182\nAnswer: 2.8028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/5 of a day?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 34 = -4*v, 8 = v - 5*v. Let p be (-38)\/(-14) + 6\/i. Suppose -5*y + 3 + 8 = p*o, 3*y - 11 = -4*o. Solve -t + 6 = o for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2029, -5 in increasing order.\nAnswer: -5, 0, 2029","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 9. Suppose 895 = 8*a - s*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1662*3\/8)\/((-219)\/1168)?\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.54 - -4.4175. Let q = 0.12245934 + j. Round q to six dps.\nAnswer: -0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of 3*n**5\/5 + n**4\/12 - n**3\/6 + 6*n**2 + n - 77. What are the prime factors of z(3)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 13. Let g be 1*(-4 - d)*0. Solve 1 = -g*s - s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - (3 + 36)\/(-3). Let h be (-3)\/12 - (-83)\/12. Let d = 7 - h. Is s at most as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = l + 1, 3*a + 0*l = -3*l + 9. Let b(t) = -12*t**2 + 31*t**a - 7*t**2 + 2*t + 2 - 11*t**2. Determine b(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 32 - 8 = 0. Let q = -29 + w. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a + 1. Suppose 0 = -3*c - 2*t + 36, t = c + 5*t - 2. Let r = 10 - c. List the prime factors of j(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -6. Let a = 17 + -1. Let p = 39 - a. What is the remainder when p is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 + 32. Factor 2*o**3 - o - 13*o + 8 + s*o**2 + 0*o**2.\nAnswer: 2*(o - 1)**2*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11904, -23656, -35406, -47154, -58900, -70644, -82386?\nAnswer: -94126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 3 - (2 - (-4 - -4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 39. Let z be (0 - -2)*(-3 + 2). List the prime factors of (d\/3)\/(z\/3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3686, -15, 2, -4 in decreasing order.\nAnswer: 2, -4, -15, -3686","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-9)\/((-36)\/(-40)) + (-339480)\/(-41)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 7*s**2 + 3*s + 8. Let n be l(7). Let r(c) = n - c**2 - 29. Let x(b) be the first derivative of -2*b**2 - 2. Determine x(r(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 6*z**2 + 2*z. Let n be w(-6). Let m be 3\/9 + (-176)\/n. Solve -5*t = -5 - m for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/6)\/(g\/(g*g\/(g**(7\/6)*g))*g)*g**(2\/37)*(g*g*g**(2\/17))\/g assuming g is positive.\nAnswer: g**(-521\/629)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 23012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l - 72148 = -8468. Let h = l - 2091. List the prime factors of h.\nAnswer: 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -102 + 42*i**2 + 5*i**3 + 2*i + 52*i**2 + 55*i**2 - 149*i**2 as k*i**2 + y*i**3 + w*i + b and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -334*m**3 + 330*m**3 + 6 + 71*m**2 + 3.\nAnswer: -4*m**3 + 71*m**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 2:12 AM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65260.67 centuries to years.\nAnswer: 6526067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -794 + 383. Let a = y + 664. Calculate the highest common factor of a and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/2*26920\/(-2887170).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2. Let r(y) = -8*y**2 + 7*y - 7. Let w(u) = 4*u**2 - 3*u + 3. Let g(s) = -3*r(s) - 7*w(s). Calculate h(g(a)).\nAnswer: 16*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - 10.00245657351.\nAnswer: -11.00245657351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or -3161\/5?\nAnswer: -3161\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13039*t + 248633 - 248633 to the form i + q*t and give q.\nAnswer: -13039","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -4*c. What are the prime factors of y(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -106.41 and 25.136647878?\nAnswer: 131.546647878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 759001283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 88\/28*-1 + 3. What is the smallest value in i, 3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -0.0145 (c) 22 (d) 1373\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + s**2 + 2*s**3 + 0*s**3 + s - 8*s**2. What is the lowest common multiple of i(7) and 5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -5*r + 5. Let c(s) = -7*s + 8. Let y(b) = 5*c(b) - 8*h(b). Let z(l) be the third derivative of -l**4\/6 - 59*l**2. Give y(z(f)).\nAnswer: -20*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-8) - 134\/(-8). Let m = -13 + i. Suppose -5*j - 5 = -10*j. What is the closest to j in 0.3, 2, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of i**6\/45 + i**5\/8 - 2*i**3 + 19*i. Let l(x) be the second derivative of z(x). Find the second derivative of l(f) wrt f.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63855 and 1230273.\nAnswer: 18454095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -i + 135, 4*i - 166 = 4*r - 454. Calculate the highest common factor of r and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 986.01 meters to millimeters.\nAnswer: 986010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 387916?\nAnswer: 2, 96979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 7 - 13 = -5*j, 5*x + 4*j = 16. Suppose 3*f = -x*f + 399. Is 58\/6*(f - 7) - 1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, -129, -483, -1145, -2217?\nAnswer: -3801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*c*j**3 + 211*c*j**2 - 16511*c - 13*j**3 - 2*j**2 - 2*j wrt j?\nAnswer: -18*c*j + 422*c - 78*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.830601 millennia to months.\nAnswer: 69967.212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -6*c**2. Suppose 0 = v - 4*i + 5, -2*v - 3*i + 12 = -0*v. Let n(o) = 2*o - 3. Let g(y) = -3*y + 4. Let z(d) = v*g(d) + 4*n(d). Calculate m(z(p)).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 5*c**2 + c - 36. Determine n(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -114, -135, -148, -153, -150, -139?\n\"Answer: 4*v**2 - 33*v - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 102024*p**2 + 2494*p - 1 wrt p.\nAnswer: 204048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.13 + 75.87. Let k = f - 76.39. Let c = 0.28 + k. Round c to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 13 = -4*g, -2*g + 13 = -r - 4*r. Suppose -3*c = 5*q - 2*c - 2703, -g*q - c + 2162 = 0. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.806 + 0.194. Let o = -2\/26011 - 30953068\/286121. Let l = o - -108. Which is the closest to 2\/5? (a) n (b) l (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2\/173, -1.65, 5, 1, 4\/5 in decreasing order.\nAnswer: 5, 1, 4\/5, 0, -2\/173, -1.65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/92785 and -36\/95492635.\nAnswer: 1050418985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 16*c**3 - c**2 + 9531. What is the hundreds digit of x(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 9*w - 10. Let q be i(7). Suppose 6*o - q = 2*o. Let v = -1.45 - -0.05. Which is smaller: o or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -q**5 - 15*q**4\/2 - 65*q**3\/3 - 30*q**2 - 20*q - 28. Factor s(x).\nAnswer: -5*(x + 1)**2*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnoooonooooo. Give prob of sequence oono.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/2*16\/6. Let t = -2 + 4. Suppose 5*y + 5*f = -0*y + 10, -q = 3*y - t*f. Solve 0 = j - y*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (11 + -4)*(1 - 0). Suppose -f*g = -2*g. List the prime factors of (32 - g)*6\/12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 5*g - 11835, -5*n + 864 = -3*g + 7965. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44062*u**3 + 44530*u**3 - 88163*u**3.\nAnswer: 429*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2*y = -70260, -135*i + 136*i - 2*y = 17580. Is i a multiple of 183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a microgram in nanograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227 - 79 = -5*f + g, -7*g - 26 = f - 9*g for f.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13388 to the power of 1\/2, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.69, 4\/5, -5, -1578?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1447.\nAnswer: 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -a*g*n**2 + 4*a*g - a*n + 6*g*n**2 + 9*g + 24228*n**2 wrt g.\nAnswer: -a*n**2 + 4*a + 6*n**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1815) - (sqrt(1815)*-1*5 + sqrt(1815)) - sqrt(1815) - ((sqrt(1815) + sqrt(1815)*-2 - sqrt(1815)) + sqrt(1815))*-4)\/(-1*sqrt(50)\/sqrt(90)*-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 281, 1178, 2665, 4742?\n\"Answer: 295*p**2 + 12*p - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 divided by 798?\nAnswer: -20\/399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1928095 divided by 5?\nAnswer: -385619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18)\/3 - (-2 + -1). Let s(m) = -21*m - 3. What is the units digit of s(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, 4.19, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 576617 - 6915497\/12. Let h = i - 337. Find the common denominator of 26*(-57)\/(-72) - (-2)\/8 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.1 - 5.1. What is the smallest value in -1\/9, 4\/3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1046, 1059, 1086, 1133, 1206, 1311, 1454, 1641?\n\"Answer: i**3 + i**2 + 3*i + 1041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 8 = -b. Suppose -2*q - 7 = -6*a + a, -2*a = 2*q - b. Let z(k) = 2*k**2 + 2*k - 4. Does 15 divide z(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 8:17 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 2:47 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 159*i**2 - 4333*i - 863. Determine a(124).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -57441*p**2 + 167*p + 34798489.\nAnswer: -114882*p + 167","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 3924, 22?\nAnswer: 3924","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2423338 (base 9) to base 4\nAnswer: 11000331221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1515 plus -3859345.5?\nAnswer: -3857830.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 186836869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5 = 3*b - 1, -5*b - 3*j = -10. Suppose n = 4*x - 4, -5*x + 3 = 3*n - b. Which is smaller: -3\/8 or n?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 1\/2*j**2 - 1 - 3\/8*j**4 - 1\/6*j**3 + 0*j. Solve f(w) = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 18 = 3*y, 11*j - y = 6*j - 18 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 22*q - 28. Let j be n(-19). Let r(k) = k**3 - 27*k**2 + 40*k - 16. Let m be r(j). Suppose 0 = -12*f - m + 9054. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/5)\/(((-168)\/20)\/(-6)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/15822 and 1\/5860?\nAnswer: 158220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 8*t**2 - 7*t - 2. Let y be z(-7). Let q be y\/(-16) + (7 - 7). Sort q, 0.1, 2\/9.\nAnswer: 0.1, q, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7b6 (base 14) to base 9\nAnswer: 2082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 60 = -0. Let r(o) = 15*o - 195. Let b be r(15). What is the highest common divisor of b and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190 + 307 + 4*i**3 - 313*i**2 - 126.\nAnswer: 4*i**3 - 313*i**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 687, 1384, 2079, 2772, 3463, 4152?\n\"Answer: -o**2 + 700*o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/6825 and -5\/12.\nAnswer: 27300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 30 = 2*h, 2*w - 5*h - 3 - 42 = 0. What are the prime factors of 11 + ((-4)\/10)\/((-2)\/w)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 9*f**2 + 9*f - 12. Let d = -31 + 39. Let z be a(d). Let w = z + 19. Does 5 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of 19*p**6\/36 - p**3\/2 + 2*p**2. Let a(w) be the first derivative of v(w). Let s be a(2). Round s to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -4943338\nAnswer: 3\/4943338","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is 7568.45 rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 63, 137, 227, 339, 479, 653?\n\"Answer: l**3 + 2*l**2 + 61*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 4 (c) 5472 (d) -1\/36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + 42*k - 71. Let r be v(2). Calculate the greatest common divisor of 123 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**4 + 128505*i**3 - 771150*i**2 + 1542380*i - 1028280.\nAnswer: 5*(i - 2)**3*(i + 25707)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -36*w + 3. Let x = 52 - 55. What are the prime factors of n(x)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - (0 + (-33)\/(-9)). Let i(t) = -t - 16. Let u be i(10). Is u >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22247*n + 7275*n - 7553*n - 11362*n to the form u*n + m and give u.\nAnswer: -33887","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -j**5\/20 + j**4\/12 + j**3\/3 + j**2\/2 - 2*j. What is the units digit of p(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1416\/41 + 8537\/246. Solve 8\/3 - 20\/3*j + 11\/2*j**2 - 5\/3*j**3 + g*j**4 = 0 for j.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -39, -3, 1\/9, 0.06, 22?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xh when two letters picked without replacement from nunhsnnx.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-126)\/(-14) + -1 + 4\/(-2). Differentiate -f*p**4 + 75 + 25 + 4*p**2 + 35 wrt p.\nAnswer: -24*p**3 + 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of 1\/4*a**4 + 0*a**6 - 1\/5*a**5 + 2\/21*a**7 + 1\/3*a**3 + 0*a**2 + 7 + a. What is the third derivative of z(f) wrt f?\nAnswer: 240*f**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1957 - -2094. Suppose 0 = 5*x - 5 - 95. Let d = p + x. List the prime factors of d.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -679, -3\/34, -4 in descending order.\nAnswer: -3\/34, -4, -679","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 175 - -4. Let k = o + -70. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/g**(-1\/2)))**(1\/13)*(g\/g**(-2\/7))**(2\/83))**7 assuming g is positive.\nAnswer: g**(-113\/2158)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 13, 201, -11, -7 in decreasing order.\nAnswer: 201, 13, 3, -7, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 286 = -3*g, 333 - 35 = 4*v + 3*g. Calculate the common denominator of -1\/14 and v*6\/(-300) - -3.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*u + 19 = -189. Solve -9 - 9 = -4*f + x, -7 = -3*f + u*x for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 4:53 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 162 = 756. Let y = p + 421. List the prime factors of y.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 7 = -3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43404 is divided by 3096?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by 11.\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 530439 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01081952 to four dps.\nAnswer: -0.0108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -190 + 190. Suppose y - 10 + 5 = h. Solve -a - y = -j - 0, -4*j + 2 = 5*a for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 530 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.25 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 336 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48*q - 7 - 2 + 4 + 2 to x + z*q and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 41747, 83572, 125393, 167210?\n\"Answer: -2*t**2 + 41831*t - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -155, -538, -1283, -2510, -4339, -6890, -10283?\nAnswer: -14638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -708 + 226 + 245 + 237 - 2*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/7712 and -23\/3856.\nAnswer: 7712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 - 3400102220?\nAnswer: -3400102204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)\/(sqrt(80)\/sqrt(10))*6)\/(-5*(sqrt(180)*-1 - (sqrt(220)\/sqrt(4))\/sqrt(11))).\nAnswer: 3*sqrt(5)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.107 (b) 19210\/33 (c) 5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1530, -21, -4656, -12375, -23178, -37065?\n\"Answer: -1542*a**2 + 3075*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1517 and 164.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2*x + 29 = 0, -i - 4*x - 5 = -2. Suppose 0 = -0*a - 2*a + 8, -2*j - 8 = -i*a. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -20.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*f = -6, 5*f = -4*v + 39683. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 3*r - 5, 0 = p + 35*r - 32*r - 4. Sort 3\/5, -32, -0.03, -3, p in decreasing order.\nAnswer: p, 3\/5, -0.03, -3, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, f: 1, c: 7, i: 1, l: 4}. What is prob of picking 1 f, 1 i, and 1 t?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 81125*b**2 - 26865620 + 94006490*b + 35\/2*b**3 = 0.\nAnswer: -2318, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.06 - -0.02. Let z = m - -0.07. Which is the closest to z? (a) -4 (b) -0.5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, f: 2, x: 3, l: 4, c: 2, j: 1}. Give prob of picking 2 f.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**1)**(-28\/5))**(-20) assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*y**2 + 19540*y - 58575 = 0. Calculate y.\nAnswer: 3, 3905","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 14124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/6 + (-60555)\/(-45). Let f = -903 + q. Let k = -286 + f. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/18*6\/(6\/2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3924 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-47)\/329 - (-1095)\/21. Calculate the highest common divisor of b and 1079.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38868 is divided by 12956.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = -k + 6*k. List the prime factors of k.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 8:26 PM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - 65\/25)*-2*5. Put 3, 4, 0, c in ascending order.\nAnswer: c, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 7*i - 6. Let p(f) = -f. Let q(w) = -2*p(w) - u(w). Let s be q(4). Let z = -3 - s. Calculate the smallest common multiple of z and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 11:06 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 6*q = 0. Let t(y) = y**3 + 4*y**2 + 2*y + 1. Let j be t(-2). Suppose j*n = -4*x + 74, 3*n + q*n - 4*x = 38. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -9*v - 25. Let d(i) = -5*i - 14. Let y(j) = 11*d(j) - 6*z(j). Let q be (-1*0\/4)\/(-2 + 1). Give y(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-3 - -12) - -4 - 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1719)\/(-153) + -22 + 16\/(-68) + 9\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2173377+-0.01\nAnswer: -2173377.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 2\/3 (b) 9.39 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 0*x + 18 + 19 - 15 - 6*x. Give q(7).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -1928.183.\nAnswer: -192.8183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 3*p = 53, -3*p = -5*q + 2*p - 85. Let j be (-1358)\/154 - 4\/22. Let h = j - q. Solve -2*f = -2 - h for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 200\/14*269\/(46268\/(-602))\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1830, -2005, -2480, -3405, -4930, -7205, -10380?\n\"Answer: -25*k**3 - 1805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 435 (base 7) to base 12\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 512910?\nAnswer: 1025820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -184 + 199. What is the remainder when 1437 is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -7*n**4 + 16*n**3 + 32*n**2 - 4. Let w(m) = -4*m**4 + m**3 + m**2 - m - 1. Let o(i) = 4*w(i) - y(i). What is the third derivative of o(p) wrt p?\nAnswer: -216*p - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50257\/4 - 12639. Let y = 74 + x. Let n = 0.2 - 0.3. What is the third smallest value in n, -4, y?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2020311102 (base 4) in base 13?\nAnswer: 16814a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (20\/(-455))\/(2\/(-7)). Let o = -15 + 15.053. Let b = o + 0.047. What is the second smallest value in 1\/3, s, b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 322706?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 567*p + 464*p - 10073*p.\nAnswer: -9042*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 218448\/11655 + -13 + 385\/49.\nAnswer: 68\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (66\/55)\/((-4)\/(-30)). Let d be 3\/i*(0 + 15). Suppose 2*t + 5*o = 78, 3*t + 68 = -d*o + 190. What are the prime factors of t?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -l, l + 3*q - 3 - 1 = 0. Is l a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5743 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**3 + 787343*v**2\/2 + 38744214060*v - 19372205448 = 0.\nAnswer: -196836, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 93*o - 3. What is the tens digit of r(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7752 * 145.545.\nAnswer: -1128264.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1909?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2088 = 2*g, r = -3*g + 4*g - 1044. Let i(f) = 17*f**2 - 27*f + 9. Let m be i(5). Suppose g = 5*d + m. What are the prime factors of d?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46.82 - 47.1469. Let k = 0.289 - -0.031. Let r = k + v. Round r to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 8*o - 7*o**2 - 3 + 6*o**2 - 6. Let t be i(7). Let c be -276*(35012\/6 + t). Round c to the nearest one hundred thousand.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9253 + -9251. Solve -3*f + 9 = -o*a + 6, a = f for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12528 is divided by 285?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 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: Which is smaller: 0.04 or -2\/31?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -7 - 1. Let q be 9 + v*(-2)\/(-4). Let u = 1851 + -1821. What is the highest common factor of q and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 + 27 - 32)*(-4*y + y + y) + y - 5 + 5 + (-4 + 2 + 4)*(y - 4*y + y) - y - 2*y + 5*y.\nAnswer: 73*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.11 + 0.11. Which is the closest to 0.1? (a) 1 (b) 2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-242)\/5 - (-36)\/2880*32.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -10684.\nAnswer: 5\/10684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 58077061 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(700) + 0)**2.\nAnswer: 11200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*7\/(-14) + 1*3. Suppose -27 = o*c - 13*c. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13*r - 5 - 44*r + 5 - 13 - 70*r wrt r.\nAnswer: -101","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 7*h**2 - 8*h + 5. Let l = -16 + 21. Suppose -l = 5*f + 25. What is the units digit of c(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v + 1. Let t(j) = j**2 - j + 1. Let w be t(0). Let x(n) = 0*n**3 + n**3 - 1 - 1. Determine w*c(b) + x(b).\nAnswer: b**3 - b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -h**4\/12 + 2*h**3\/3 - 3*h**2\/2 + 6*h. Factor t(c).\nAnswer: -(c - 3)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27094963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 566062 is divided by 6020.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 + 25. Suppose -4*z - 161 = -3*l, -k*l + 224 = 2*l - 3*z. Let w = l + -35. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*m**4 + 9225*m**3 + 329457*m**2 + 1206936*m + 1169940 = 0. What is m?\nAnswer: -31, -2, 3145\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/35 and 71\/110?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 11. Let x = 19 - 13. Let w be 1\/(-4) - x\/40. Which is the third smallest value? (a) v (b) -0.1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -2\/3, -23052 in increasing order.\nAnswer: -23052, -2\/3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3426356119 to the nearest integer?\nAnswer: 58535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208416046?\nAnswer: 2, 104208023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.157 (b) -1 (c) 0.08 (d) -0.1 (e) 0 (f) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -24, -1, -104, -19 in increasing order.\nAnswer: -104, -24, -19, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 86, 178, 276, 386, 514, 666, 848, 1066?\n\"Answer: n**3 - 3*n**2 + 94*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 353136309*u**2 - 1499367203*u wrt u.\nAnswer: 706272618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 19 + 7 = -2*s, 4*s = 5*j - 42. Let d(v) = -v**3 - 9*v**2 - 9*v - 1. Is d(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 15*w**5 + 110*w**4 - 415*w**3 - 150*w**2 = 0.\nAnswer: -10, -1\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (20\/(-6))\/(12\/(-18)). Let a be m\/1 - (-1 - -1). Suppose 0 = a*s - 9 - 1. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of m**7\/420 + 2*m**6\/45 + m**5\/5 - m**3\/3 - m**2 + 20. Let o(k) be the third derivative of h(k). Determine q so that o(q) = 0.\nAnswer: -6, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-76)*(31\/(-124))\/((-2)\/(-8))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1600 - 1600 - x - 2*x**2.\nAnswer: -2*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 56*h**2 + 49*h - 49. Let b(a) = -a**2 - a + 1. Suppose 2*m = -w + 23 - 14, 3 = m. Calculate w*q(j) + 147*b(j).\nAnswer: 21*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqoqbvqqoqbq. Give prob of sequence qq.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 3*o - 24 = -3*m, 0 = 5*m - o - 56. 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: Calculate 20*36\/(-630)*285\/(-76).\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -554 and 12.3?\nAnswer: -6814.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 274*p - 8 = 272*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 29*l - 1. Let i(g) = -3*g + 242480. What is d(i(u))?\nAnswer: -87*u + 7031919","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s**2 - 3*s**2 + 3*s**2)*(83*s - 99*s + 70*s) in the form f*s**2 + w*s + d*s**3 + c and give d.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 13624 and 13621 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-1)*c*c)\/c*c)**1\/(c**0*c)**(-28\/5) assuming c is positive.\nAnswer: c**(38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1010989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2394969664 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 0, -16, -52, -120, -232, -400, -636, -952?\n\"Answer: -2*g**3 + 2*g**2 - 8*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 7051*w + 77588. What is t(-11)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**(-4\/13)\/t)\/t**16*(t**(-2\/21))**(-6\/7) assuming t is positive.\nAnswer: t**(-9699\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z = z + 72. Suppose 9*o - z*o - 11 = 0. Suppose -17*l + o*l = -1188. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-2))\/((-12)\/(-8))*2514\/419.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -37, -30, 11, 104, 267?\nAnswer: 518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 2*l + 16, 0 = -7*l + 4*l - s - 13 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**3 - 11*n**2 + 9*n + 19. Let y = -21 + 15. Let w be z(y). Put -2, 5, 3, w in descending order.\nAnswer: 5, 3, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j. Let m = 81 + -70. Let b be (-3)\/(-2)*(-22)\/(-3). Let l(y) = -m - 8*y**2 + b. Calculate g(l(u)).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2129951.\nAnswer: 2129951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -233, -235, -237, -239, -241?\nAnswer: -243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 - (76 + -35) - (1 + 11 + -2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 332180 less than 332181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -10. Let i(b) = 4 - 21*b**2 + 3 + 17*b**c + b**3 - 6*b. Let u be i(5). Solve u*o = 6*o - 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/85 + (-5316)\/102. Let r be b\/6 + (-6)\/(-9). Let j(m) = -m**2 - 8*m + 4. Give j(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 110 and 660.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 107, 246, 453, 734, 1095, 1542?\nAnswer: 2081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(17) + -2 - (sqrt(17) - sqrt(272)*2).\nAnswer: 3 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 181, 100, 28 in decreasing order.\nAnswer: 181, 100, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, v: 3}. Give prob of sequence vv.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of 2*a + 4\/3*a**3 - 5\/2*a**2 + 0. Let y(r) = -3*r + 2. Let q(s) = -4*d(s) - 11*y(s). Find the first derivative of q(i) wrt i.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92 divided by 3.\nAnswer: 92\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 - (4 + (-16)\/4)\/1. Sort -2\/11, d, -4, 0 in descending order.\nAnswer: d, 0, -2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504068.22 rounded to the nearest 10000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 + 29. Is 2\/6*(t + 2092 - -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of x**8\/560 - x**6\/180 + 2*x**3\/3 + 3*x. Let i(a) be the second derivative of f(a). Find the third derivative of i(o) wrt o.\nAnswer: 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 10*o - 105. Let l be t(-19). Let q = l + 467. What is the greatest common factor of 4 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**3\/3 + 9854*g**2 + 36279600*g - 986745888 = 0 for g.\nAnswer: -7404, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00156857 to five decimal places.\nAnswer: -0.00157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.073 - 0.0729156. What is g rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.0669 and -0.1.\nAnswer: -1.1669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uqghggghqh. Give prob of picking 1 q and 1 h.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/(-12))\/1*18. Suppose 8 + x*z**3 - 4*z**4 - 3*z**2 + 9*z - 21*z - z**2 = 0. What is z?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45656928 by 5707116.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 128 - -37. Let k = -164.9999558 + t. What is k rounded to six dps?\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 27. Let q(g) = g**3 + 16*g**2 + 17*g + 17. Let k be q(c). Let j(v) = -4*v. Does 9 divide j(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + -8)\/(-2 + -5)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 10053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/320 + (0\/(-2))\/(14\/(-7)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(2 + (-33)\/15). Factor -m**2 + y*m**3 - 9*m**3 + 7*m**2 + 4*m - 4*m**3.\nAnswer: 2*m*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28.09 - 3.09. What is the nearest to y in 2, 0.2, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-236)\/(-59))\/(8\/(-54))*60\/36.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 416 a factor of 23954112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/4*(15 - 222\/18). Let g(o) = -o**2 + 27. Is 5 a factor of g(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1045 less than -19676641.606?\nAnswer: -19677686.606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-2 - (-10 - (-6 - -1))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 8. What is the closest to -1 in 0.4, m, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 7*h + 2. Let o = 8 - -2. Let g be ((-12)\/(-10))\/(o\/(-50)). Calculate a(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 5*(sqrt(3) - sqrt(27)))**2.\nAnswer: -80*sqrt(3) + 316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 295 + -293.77. Let b = v - 1.2351. What is b rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 252*a**2 + 44*a - 49. Let c be g(9). What is c rounded to the nearest one hundred?\nAnswer: 20800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-7)\/((-28)\/(-6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -285 by 2094.\nAnswer: -95\/698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 6975.167 to the nearest ten.\nAnswer: 6980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -96 divided by 16?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 3:23 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 380.69857 days to weeks.\nAnswer: 54.38551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -14. Let u(j) = 4*j**2 - 5. Is u(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/9)\/2 + 19339\/2097?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2, 2, 14, 34, 62, 98?\n\"Answer: 4*j**2 - 8*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 3, 112, 0.3, -4301?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 15. Suppose 42 = 4*x - l*x - o, 6 = 3*o. Suppose 13*d = 14*d - x. List the prime factors of d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3*j + 37 = -3*a, 0 = 2*j + 2. Let p be (a\/(-4))\/(2\/9). Let m(u) = -3*u - p + 17 + 2*u. What is m(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**2\/5 - 114*v\/5 - 612\/5 = 0.\nAnswer: -51, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-10) + (13 - 180\/(-50)). Let b(j) = 5*j**3 - 6*j**2 - 8*j - 6. Let s(w) = 15*w**3 - 17*w**2 - 23*w - 17. Give l*b(y) - 6*s(y).\nAnswer: -5*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2030600 and 1519045.\nAnswer: 3905","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1577356, 1577355, 1577354?\n\"Answer: -o + 1577357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 840817643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -162\/649 - -4\/59. What is the second smallest value in x, 5\/2, 4, -0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 35761 - -36?\nAnswer: 36017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4654 - 4649. Solve 0 = -v - b*u - 8 - 17, -5*v + u - 21 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5558 - -0.55615447. Round g to five decimal places.\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 0)*0\/(-2). Let b be (4\/10 - 0) + (-346)\/(-10). Suppose 14*t - b = 7*t. Solve -t*j - 4*r = -y*j - 41, -3*r + 17 = j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78097 (base 11) in base 10?\nAnswer: -113241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (832 + -838)*(-3)\/(-39).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12256580 and 1050564.\nAnswer: 36769740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/4 - (-69)\/4. Let f = 21 - z. Suppose -36 = -5*b - 5*p + p, 12 = b + 2*p. What is the highest common factor of b and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y - 2*y - 2*y)*(y**3 + 3*y**3 - 5*y**3) + 53 - 12*y**4 - 53 to the form z*y**3 + r*y + i*y**4 + n + j*y**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - x - x + 173, -1 = x. Let w = m - 25. Let d = w - 4. What is the smallest common multiple of d and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2107111183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6*22\/28 + -8*(-35)\/56. What is the biggest value in 32, -22, p?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -6. Let z = -131\/3 + 43. Which is the third biggest value? (a) z (b) 3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4080)\/(-153)*6\/5. Suppose g*f + 15*f - 8366 = 0. List the prime factors of f.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/11207, 2\/121, 2\/11, 4, -1, -2?\nAnswer: 2\/11207","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + b**2 + 38. What is the tens digit of p(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 576 or 578?\nAnswer: 576","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 9.482, -0.01, 1, 3, 3\/10?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 - 255*q**2 + 1370*q - 1680.\nAnswer: -5*(q - 3)*(q - 2)*(q + 56)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w + 8. What is y(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1475873519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 8 = -4*s, 0*s + 6 = 3*s - 4*m. Solve 16 = -s*o - 2*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -25bb3?\nAnswer: -25bb5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 9:47 PM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 186497436*m - 207925858 wrt m?\nAnswer: 186497436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + 34. Let f = -39 + z. Let l be f + 4 + 8\/(-1). Solve 0 = -4*s + l*d - 4, 4*s + 4 = -2*d - 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3605 (base 7) to base 4\nAnswer: -110300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(78) - (sqrt(78) - 4*sqrt(78)*3))\/sqrt(3))\/(-1*(sqrt(200) + sqrt(200) + sqrt(200)*-4)))**2.\nAnswer: 1053\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 914 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -109301 (c) 2 (d) -0.2 (e) -4 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -17, -0.2.\nAnswer: -17, -13, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 3764*o**2 - 14 - 4224*o**2 + 102*o - 102*o as c + b*o + g*o**2 and give g.\nAnswer: -460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -66658486*t**4 - 233120730*t wrt t?\nAnswer: -799901832*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 5. Let z be (-3)\/g*4\/15. Suppose h + 2*h = 3. Which is smaller: h or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - 28\/(-7))\/(-1). Suppose -4*f + o*h - 5*h + 2412 = 0, -3*f + 3*h = -1809. Calculate the greatest common factor of 67 and f.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 5230.984 micrograms?\nAnswer: 0.000000005230984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02857774 rounded to five dps?\nAnswer: -0.02858","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5124b (base 14) to base 2\nAnswer: -101111101011010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3 = -3*k, -23*a + 24*a - 5*k = -5. Let t be ((-59)\/(-649))\/(-1 - (-12)\/11). Solve t = -a*s + s + 2*v, s = 5*v - 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 3*a + 11, -3*d - 17 = 14*a - 18*a. Suppose 2*k + 2*u - 30 = -3*u, -4*k = -4*u - 4. Calculate the lowest common multiple of d and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18430 divided by 11\nAnswer: 18430\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/4 (b) -0.0285 (c) 0.26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus -40489646?\nAnswer: 40489646.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.78017719, -3, -5 in decreasing order.\nAnswer: -0.78017719, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -4*t**3 + 12*t**2 + 100*t + 84 = 0?\nAnswer: -3, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 + 105. Let s = f + -80. Solve 2 = i - s for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9988?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2110\/11 or 3\/421?\nAnswer: 2110\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 562137.9 grams to nanograms.\nAnswer: 562137900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8\/9 - -7\/18. What is the nearest to 0 in 0.2, y, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 112*y + 186*y - 424*y to the form i + v*y and give v.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3\/4 - 155*t**2\/4 - 1275*t\/4 - 1125\/4.\nAnswer: -5*(t + 1)*(t + 15)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20245944343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 511*g**3 + 4*g**2 + 44*g - 53. Is f(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169 - 191 = 180*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -84 + 0?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -498 divided by 2?\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4*y + 14 = 0, 2*y = 5*y + 15. Let o = -23 - -23.3. Let t = 0.06 + 0.34. Which is the closest to -1? (a) t (b) o (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -14*s**2 + 4*s + 9. Let k(g) = -28*g**2 + 9*g + 18. Let f(d) = 4*k(d) - 9*l(d). What is the derivative of f(i) wrt i?\nAnswer: 28*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -43075.\nAnswer: -2\/43075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 2:37 AM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -31290836*v. Let u(w) = -2*w. Calculate z(u(l)).\nAnswer: 62581672*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117) + 1 + -4 + sqrt(117) + sqrt(117) + (-2*sqrt(117)*-1)**2 + (5 + (sqrt(117) - -1*sqrt(117))*-6)**2.\nAnswer: -351*sqrt(13) + 17338","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-262)\/(-393)*(-2 - (-62)\/28). Let z = 1.3 - -3.7. Which is the third smallest value? (a) z (b) -1 (c) 2 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/25 (b) -5 (c) 547 (d) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 5*c - 5 = -3*v, 2*v - 4*c + 6 = 0. Let m = -21 + -20. Let q = m - -66. Calculate the highest common factor of v and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -213*g + 123*g = -112*g + 88. Determine n, given that -40\/11*n + 2\/11*n**g - 32\/11*n**2 + 0 - 2\/11*n**3 = 0.\nAnswer: -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2 + (sqrt(98)*-1 + 1)*1 + -2 + -3*(5 + 0 + sqrt(98)) + 5)**2.\nAnswer: 448*sqrt(2) + 1632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -10309712*h. Let c(s) = -s**2 - 16. What is c(x(z))?\nAnswer: -106290161522944*z**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4583*-0.049\nAnswer: -224.567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 781\/(278817\/(-1836))*35\/(-2).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -464211.269 + 463566. Let a = -645 - g. Round a to two decimal places.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 11 = -1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 161104 and 120828.\nAnswer: 483312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 8*v + 1. Let k(o) = -7*o - 1. Let r(l) = 6*k(l) + 5*m(l). Let h(f) = -f. Suppose -2*p + 5*p + 3 = 0. What is p*h(q) + r(q)?\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -47*w - 9*w + 336 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aibd when four letters picked without replacement from iidbibaui?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2290, 4707, 7124, 9541, 11958?\n\"Answer: 2417*j - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 36, 4, 5.\nAnswer: -4, 3, 4, 5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - m - 4*d = 21, 2*m + 3*d = -13. Let z(a) = -2*a**2 + 1. Let p be z(m). Let f(o) = -13*o - 1. What is the tens digit of f(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 7582700.\nAnswer: 7582696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 46*u**2 + 49*u - 46. Let f be k(-47). Let p = f - -144. Solve p*g + 5 = -z - 2, -4*g + 2 = -2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*m*u**2*x**3 - m*u**2 - m*u*x**3 - 45*m*u + 2*u**4*x**2 - 2*u*x**3 wrt u.\nAnswer: 12*m*x**3 - 2*m + 24*u**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.638 + -19.421. Let p = u + 0.059. Which is the nearest to -1\/2? (a) -5 (b) p (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3625 - 3596 = -2*n + 5*z, 34 = 3*n + 8*z for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 385 = -3*s, 2*s - 3*c + 225 + 32 = 0. Let m = s + 227. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 0 + (69 - 53).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10364 * 27.77.\nAnswer: -287808.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/18 - (-2246)\/3. Suppose 5*b = -4*r + 715, -5*b + 3*r = -y + 34. Let c be b\/198 + (-2)\/9. Do 9 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 51232260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 3*q**2 + 2*q + 5. Let j = -11 - -30. What is the remainder when j is divided by x(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1313 = 1400*j - 754 - 733 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 6267.37172 to the nearest ten.\nAnswer: 6270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -33344*0.776\nAnswer: -25874.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -205, -79 in decreasing order.\nAnswer: -25, -79, -205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (113 - 114) + (-4)\/(-7). Let m = 78.7 - 87. Let x = m + 8. What is the fourth smallest value in -0.1, x, d, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123 (base 5) to base 12.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107229 divided by 28.\nAnswer: -107229\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3770 = -238*x + 251*x. Solve -5*z + 268 = -3*l + x, -2*l = 5*z + 2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 235 - 109. Suppose -2*b - f = b. Let i = 30 - b. Is i a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -134 + 134. Let p(u) = -15*u + 3. Let h be p(2). Let x be (-1 - 650\/(-576)) + 6\/h. Which is bigger: x or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(-21*t + 1008 - 1008) + (t + t + 0*t)*(1 - 4 + 0).\nAnswer: 15*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 2075\/6, -21 in increasing order.\nAnswer: -21, 0.2, 2075\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -1020?\nAnswer: -1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04538558 + -4.5.\nAnswer: -4.54538558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*j**3 + 47*j**3 - 2766*j + 2766*j.\nAnswer: 10*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61 + -61.5. Let n(z) = z**3 - 7*z**2 + 8*z - 4. Let h be n(6). Which is the second smallest value? (a) h (b) 0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2448)*2*2)**2.\nAnswer: 39168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6808 is divided by 453.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27031 + -27026. Solve j = 14*b + 33 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**2 - 11*n + 21. What is w(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2107250738?\nAnswer: 2, 787, 1338787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, h: 2, y: 3, s: 6, r: 5, e: 1}. Give prob of picking 2 h.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 49.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -5, 3, 0.12, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -431346*q - 104*q**2 + 431347*q - 986 - 396*q**2 wrt q?\nAnswer: -1000*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 352782899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 101 and 24038?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.08 - 0.38. Let w = -4.2 - -4. What is the third smallest value in c, w, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/16 and -69\/13015418.\nAnswer: 104123344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (21\/(-6))\/7 - 2. What is the biggest value in 2, 0, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g. Let z(h) be the second derivative of h**6\/12 + 5*h**3\/6 + 18*h. Let v(x) be the second derivative of z(x). Calculate j(v(d)).\nAnswer: -60*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 42 = 44. Suppose 2*t = 4*t - l*k - 10, 3*t + 2*k - 20 = 0. Solve -2*a - 2 = 0, -5*r = -0*r - 4*a + t for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 11*m**2. Let p(i) = -i**2 + 8*i - 1. Let l be p(6). Let s be a(l). Solve s = 3*h - 3*x - 3, -5*h - 2*x - 25 = 5 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -918719673117 - -4\nAnswer: -918719673113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 5:01 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*u - 3*n, 5*n - 1 + 36 = 5*u. Suppose 2*m - m - u*r - 529 = 0, -536 = -m - 3*r. Does 13 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + y**2 - 2*y + 156. Let o be f(0). Suppose -c = 2*c - 4*l - 444, c - 4*l - o = 0. Is c a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/9 in 1\/2, -1\/4, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -1)*((-120)\/(-50))\/(-12).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096192 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-2))\/((-1)\/(-2)). Solve 4*u - 3*i = -i + 12, 5*u - 37 = -p*i for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91334133 divided by 2.\nAnswer: 91334133\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -227*y - 6356. Let b(i) = -4. Calculate 3178*b(q) - 2*x(q).\nAnswer: 454*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**2 + 7*b**2 + 11*b**2)*(3*b**3 + 0*b**3 - b**3 + (2*b + 0 + 0)*(3 - 3 + b**2) - 2*b**3 + 0*b**3 + b**3 + 2*b**3 + 6*b**3 - 5*b**3).\nAnswer: 126*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 3*v = 9. Suppose 4*a - 3 = 5, 0 = -l + v*a - 4. Suppose 3*i + 12 = 3*q, 5 = l*q + 2*i - i. Solve 2*n - 7 + q = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + -6 - 7*1. Let y be (18\/5)\/((-6)\/20). Let q = k - y. Which is the closest to -1\/8? (a) q (b) 1\/12 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7488 and 73008.\nAnswer: 292032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - 38112\/(3\/(-1)). Suppose -m = 12*a - 14*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -7 + (-2 - -2 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 43979.5552 to the nearest ten.\nAnswer: 43980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*m + 14*t = 9*t + 9*t - 194, 3*t = -3*m + 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27.913191 + -27.943. Let y = d + 0.0295. Round y to 5 decimal places.\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**4 - s**4 - s**4 + (2 - 2*s - 2)*(-6*s**3 + 4*s**3 + 4*s**3) - 4*s**4 + 11*s**4 + s**4.\nAnswer: 3*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1623 divided by -9025\nAnswer: -1623\/9025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1496 take away 4?\nAnswer: 1492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)\/sqrt(2))\/sqrt(3) - sqrt(12))\/sqrt(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 12, -4 in decreasing order.\nAnswer: 12, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p - 1. Let a(l) = -4*l - 148. Let r(n) = a(n) + 12*s(n). Let t be r(22). What is the highest common divisor of t and 272?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + -2 - (-5 + -12 + 18) - 5.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 7*s. Let v(l) = -l + 53. Let h be v(s). Suppose 4*j - h - 35 = -4*y, 2*y - 38 = -4*j. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12384 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 768040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iil. Give prob of picking 2 i.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13184285 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -2*h + 162. Is 9 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39439\/4 - -9860. What is the nearest to h in -2\/5, -2, -1, 108?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g - 5. What is the remainder when 13 is divided by c(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 2*l**2 + 3*l + 4. Let y be p(3). Let u be y + -1 + (-12)\/(-6). Let o be (-22)\/(-4) - (7 + 9\/(-3)). Sort o, 1\/4, -3, u in increasing order.\nAnswer: -3, 1\/4, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1 (b) 2 (c) 1546 (d) 10 (e) -0.4 (f) -12 (g) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14.8 + 15. What is the closest to -0.3 in 1, g, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 19*r. Let c(h) = 3*h**2 - h**2 - 2*h**2 - 2*h**2. Determine c(s(l)).\nAnswer: -722*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a7e366 + -1?\nAnswer: -a7e367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -4*r**2 + 3 - 2 + 0*r**2 + 5*r**2 - r. What is the units digit of q(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -4*d**2 + 25*d - 12. Calculate a(2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 + 14 = -8*q. Suppose -2*a = -7*z + 8*z - 25914, -q*a + 4*z = -64811. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of 5*k**8\/336 - k**6\/4 - 2*k**5\/3 - 5*k**4\/8 - 42*k**2. Factor a(l).\nAnswer: 5*l*(l - 3)*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40625455*q**3 + 183828141*q.\nAnswer: -243752730*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 774 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 620158?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sorrk. What is prob of sequence rk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(-45)*((-280)\/30 - 9)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 2*c**2 + 14609*c + 0*c**2 - 2*c**2.\nAnswer: -4*c**2 + 14609*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -150 in 2.8, -2, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 x when three letters picked without replacement from vxisiijivssijiis.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, p: 1, g: 2, i: 3, k: 2, d: 6}. What is prob of sequence pfd?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1005.2 + 7666.7. What is w rounded to the nearest 100?\nAnswer: 6700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -246.72 and 0.1.\nAnswer: -246.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**5\/5 - 15888*s**4\/5 - 1073094*s**3\/5 - 15423032*s**2\/5 - 14365824*s\/5 = 0. Calculate s.\nAnswer: -7876, -48, -19, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 v when four letters picked without replacement from vtetvvthvvvv.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-15\/4))\/b*(b\/(b**11*b))\/b)**(-2\/25) assuming b is positive.\nAnswer: b**(33\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65 + -56 - (6 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -157406.2 to the nearest 1000.\nAnswer: -157000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1758 a factor of 3328991649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.025 + -0.195. Let p = x + 0.52. Let v be (-1 - 1)*2\/(-4). Sort v, 16\/9, p.\nAnswer: p, v, 16\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2352 and 2184?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14581195?\nAnswer: 5, 23, 103, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of q**4\/4 + q**3 + 3*q**2\/2 + q + 5. Let n(l) be the first derivative of p(l). Factor n(z).\nAnswer: 3*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*i, 0*j + 2*i + 16 = 4*j. Solve -3*d + j - 2 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 8:50 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 12*v + 6. Calculate the remainder when m(7) is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 = 83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4*f**2. Let j(y) be the second derivative of 2*y**4\/3 + 10*y. Determine j(g(c)).\nAnswer: 128*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -592 + 1025. List the prime factors of x.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2068688889?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 + 255*n**2 + 1125*n - 1375.\nAnswer: -5*(n - 55)*(n - 1)*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(81)\/sqrt(3)*4)\/(-1*sqrt(225)).\nAnswer: -4*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**3 - c**2 + c**2 + 1 + (2 - 2 - 1)*(2*c**3 - 3*c**3 - c**3) - 6*c**2 - c**3 + 6*c**2.\nAnswer: 2*c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/15)\/(266\/(-1197)) - (3 + 1).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjssjajpf. Give prob of sequence fjja.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -12*a - 5. Let w(b) = -10*b - 4. Let o(z) = 4*f(z) - 5*w(z). Let s(p) = -6*p**2 + 3*p**2 + 2*p**2. Determine s(o(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1489583 or 0?\nAnswer: 1489583","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 655777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/12*n + 1\/6 - 5\/4*n**2.\nAnswer: -(3*n - 1)*(5*n + 2)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.9385 + -1.4385. What is the nearest to -3\/7 in 2\/5, -3, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11603 and 24904?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 15) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 11) to base 8.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -868 + 214 + 215 - 6*v**2 + 213 + 226.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -180, -150, -120, -90?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 1 + 16 - 2. Suppose -2*n + 5 = 13. Let c = 0 - n. Calculate the greatest common divisor of c and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 13*b - 22. Give o(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 24 - 8. Find a such that -4*a**d + 5*a**3 - 2*a**2 - 6*a**2 + 7*a**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11840 (base 12) in base 3?\nAnswer: 1012110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 7) in base 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 419314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100011100 - -10100010100011111?\nAnswer: 10101000000111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 159257 divided by 6?\nAnswer: 159257\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ae1 (base 16) to base 13.\nAnswer: -1363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 4*i - 15 = 0, -18*i + 21*i + 9 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-three fifths of a century?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -i**5\/15 - i**4\/24 + 6*i**2. Let l(d) = 13*d**2 + 3*d. Determine -2*l(x) - 7*m(x).\nAnswer: 2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5.4, -4, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9960.034 micrograms to nanograms.\nAnswer: 9960034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0*-87\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.28063 - -0.13463. Let t be (-4)\/(-2) - 99\/45. Which is the second smallest value? (a) t (b) q (c) 2\/5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-2))\/(-2) + 1. Let f be (12\/10)\/(v\/(-5)). Suppose a + 3*a = 0. Sort a, -5, f.\nAnswer: -5, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 16, -312, -736, -1256, -1872, -2584?\n\"Answer: -48*s**2 - 184*s + 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*p**5 - 2037991*p**2 - 38982958*p.\nAnswer: -40*p**3 - 4075982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2695902 and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a - 12. Let l be q(15). Suppose 0 = -4*k - l*v + 36 + 1408, k - 342 = 4*v. Suppose -2*s - k = -z, -2*z + 5*z - 1074 = -5*s. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5717956 divided by -14737.\nAnswer: -388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -8*j**6\/3 - 28*j**5\/3 - 32*j**4\/3 - 8*j**3\/3 + 8*j**2\/3 + 4*j\/3 - 13. Solve h(x) = 0.\nAnswer: -1, -1\/4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 138123 and 225?\nAnswer: 3453075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.54168 - 0.14168. Put 0.0216, u, -6, 1\/7 in increasing order.\nAnswer: -6, 0.0216, 1\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 1) + (4 - 8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 123665, 247857, 372049, 496241, 620433, 744625?\n\"Answer: 124192*i - 527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z - 2*v + 2, 2*z + 2*v = -3*z + 14 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -44 * -67163\nAnswer: 2955172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g**2 + 22*g + 35. Let n(l) = l**2 + 24*l + 34. Let p be n(-22). Is b(p) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggwggrrr. Give prob of sequence rr.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -4*j + 60, 5*j - 4*j = 5*s + 83. Let a be (-18675)\/(-360) + (-1)\/(-8). Let y = a + s. Is y a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-14))\/((-10)\/(-1) + -11).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -235*w**4 - 160*w**4 - w + 78*w**4 + 9*w**3 - 52*w**3 in the form d*w**3 + c*w**4 + p*w + j*w**2 + v and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -158 + 160. Let f(n) = 16*n**2 - 32*n**m + 13*n**2. Let g(r) = 37*r + 2. Calculate g(f(i)).\nAnswer: -111*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is -1471111 times 0.05?\nAnswer: -73555.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - (-15)\/3)\/(32\/24). Factor -3 + 3\/4*p**4 - 6*p - 3\/4*p**5 + 15\/4*p**s - 3\/4*p**2.\nAnswer: -3*(p - 2)**2*(p + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 4896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -106*r - 223. What are the prime factors of g(-12)?\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -275.24 at least as big as 10.316?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*f + 21. Let h(x) = 3*x + 43. Let c be h(-13). Suppose 0 = -c*k + 15 + 33. Sort f, -2, k.\nAnswer: f, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 41\/2 of a century?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -55 + 96. Let y = j + -16. Solve 0*z = 5*z - y for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 112028672 to the nearest integer?\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 7430542.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/15546 and -97\/15546.\nAnswer: 15546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60540, 62091, 63642, 65193, 66744?\nAnswer: 68295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -280 and -287.\nAnswer: 80360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 6*q**2 - q - 3. Let i be 16\/(-12)*18\/4. Let x be y(i). Suppose 5*z + 7 = -2*h, -x*h + 4*z = -1 - 23. Let s(c) = c**2 - 3*c + 2. What is s(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*c = -25*c + 30 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((1 - 3) + 3)*6. Sort -2, 1, v.\nAnswer: -2, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in -5\/4, 0.014, 1\/2?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*sqrt(224))\/((sqrt(242)\/sqrt(99))\/sqrt(11)).\nAnswer: 120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/84664 and -113\/12160.\nAnswer: 6773120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 323444, 323394, 323348, 323306, 323268?\n\"Answer: 2*j**2 - 56*j + 323498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 34*a**3 - 63*a**2 - 11*a - 20. What is the tens digit of u(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16883 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*i - 25 = 163*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52059, -52065, -52075, -52089, -52107, -52129?\nAnswer: -52155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -88 and 0.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 28.75 less than -7657?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 23*c**2 - 24*c. Let u be a(-24). Let y(p) = -2*p**3 - p**2 - p. Let s be y(-1). Let g be (1 - s)\/(1\/(-15)). Solve -6*n + n + g = u for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 8*k**2 - 6*k - 6. Let f be s(7). Suppose 0 = -11*t + 1 - 8 + 40. Is t < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -408342*55\nAnswer: -22458810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -3 - 1\/4*v**4 + 0*v**3 + 0*v - 7\/2*v**2. Find the second derivative of h(t) wrt t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0 = -2. Let v be (-27)\/21 - t - 28\/(-49). Which is the second biggest value? (a) -1\/3 (b) -7 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 + 2)*(-2 + 1 + 3) - 3 + 5 + 0)*(0*v**2 + v**2 + 0*v**2 + (0 + 0 - v)*(-29*v - 21*v + 32*v)).\nAnswer: 76*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/7 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-114)\/6 - (50 + -94).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of 5*h**7\/42 - 5*h**3\/3 - 15*h. Find the second derivative of s(l) wrt l.\nAnswer: 100*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*m = 114 + 2989 - 389 for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7911*r + 31 = 7916*r - 3*t, t + 37 = 5*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(156) - 2*sqrt(156) - sqrt(156))\/sqrt(12) - (sqrt(13) - (0 + sqrt(13) + 2))).\nAnswer: -2 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 459 and 122961?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - r + 51 = -5*b, 3*b = r - 145. Let p = b - -49. Let j(t) = t**3 - t**2 + t - 2. Calculate j(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 552 - 8?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-14) + (-35)\/(980\/(-384)) + -8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1489 and 1475599?\nAnswer: 1489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -113.12 to the nearest integer.\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a + 2?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/15 - (-1152)\/540. Is (4 - h) + 5*4416\/8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**2 + 6*r - 2. Let s be h(-3). Put 4, -4, s in descending order.\nAnswer: 4, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iftbjwit. What is prob of sequence tj?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2505206608 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15467, -15473, -15475, -15467, -15443, -15397?\nAnswer: -15323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6802 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 167*i - 50. Let r(a) = -9*a + 132. Let u be r(14). What is the units digit of f(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 0 (b) -4400 (c) 3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 greater than or equal to 3\/1481?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.446, 5, -6\/11, 1.481 in descending order.\nAnswer: 5, 2.446, 1.481, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/18)\/((-54)\/14094)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -381268.33098485 minus 1?\nAnswer: -381269.33098485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 317950732 to the nearest integer?\nAnswer: 683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - -3. Let f = 23 - r. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.4, -3\/2, -2, -1\/133.\nAnswer: -2, -3\/2, -0.4, -1\/133, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (736 - 594 + 306)*(4*m**2 + 3*m**2 - 6*m**2).\nAnswer: 448*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*h - 4*h - 4*h)*(2*h**3 + 0*h**2 + 0*h**2) - 209*h**4 - 48*h**4 + 44*h**4 to the form j*h**3 + m*h**4 + r + u*h**2 + w*h and give m.\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 221335.8 rounded to the nearest ten thousand?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4*r - 4 = 0. Are r and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 2*f - 238, -5*v - 243 = -6*f + 3*f. Let d be 1*-12*16\/v. Suppose 1\/3*x + 2\/3*x**2 - 7\/3*x**3 + 4\/3*x**d + 0 = 0. Calculate x.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -5*k - 1. Let y be s(0). Let q be y\/(-2) + (-9)\/(-2). Suppose 0*m + 2*m - 4*w = 16, -m = -q*w - 5. What is the remainder when 18 is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 5:53 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -9 + (14 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4\/4 + 57*h**3\/4 + 69*h**2\/2 - 301*h + 354.\nAnswer: -(h - 59)*(h - 2)**2*(h + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-6))\/(2\/(-6)). Suppose 4*m + 2*z = 7 - 33, -4*m - 21 = z. Let b be (2\/(-35))\/(m\/40). Which is greater: b or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2924458 (base 10) in base 14?\nAnswer: 561a9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 15) to base 4\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/26334*-38*3\/2.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0)*(-2 + 2*l + 2)*(17*l - 10*l - 12*l).\nAnswer: -20*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3369413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6*10)\/((198\/(-156))\/11). Let z = j - -5718\/11. Let x = 8 - 9. Which is the fourth smallest value? (a) x (b) 0.029 (c) -4 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-24)\/(-12))\/(1\/(-2)). Let j = n + 9. Solve v - j*s = -5, -4*s = 5*v - 3*s - 1 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.2 and 14?\nAnswer: 30.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 1:27 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 5*i - 2*w, 4*i - 28 = 136*w - 132*w. Let f(j) = j**2 - 6*j. Give f(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/9*(-75)\/250*630\/(-35).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5553 divided by 617\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 2, 5, -5, 1 in decreasing order.\nAnswer: 16, 5, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -3, -2, -0.9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 7*a**2 - 6*a**2 - 2*a - 1 + 3*a + 0*a**2. Give g(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 333 + -154032?\nAnswer: -153366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -193 - 2*v + 0*v - 3*v + 4*v**2 + v**3 + 3*v.\nAnswer: v**3 + 4*v**2 - 2*v - 193","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 121857801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g - 4*t - 5, 0 = 5*g - 0*t - 4*t + 45 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -3\/4, -18, -5, -161, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2)*y)\/(y*y**(1\/2)*y))**(-12)\/((y**(-2)*y*y\/y**(-4\/7)*y)\/(y**(2\/3))**(-1\/7)) assuming y is positive.\nAnswer: y**(121\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 208 + -56. Suppose 2*b - a = 84. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 = -5*d - m, 4*d + 2*m = 6*m + 112. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30*k - 49*k - 3*k**2 - 56 - 23*k + 26*k + 4*k**3 - 13*k**2.\nAnswer: 4*(k - 7)*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 18554.23 micrograms in nanograms?\nAnswer: 18554230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1403*l = 918*l + 2425 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 5:16 AM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 s when three letters picked without replacement from {w: 2, f: 3, s: 13}.\nAnswer: 13\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a + 29. Let g be r(-14). What is the greatest common divisor of g and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k + 12. Let n be a(-2). Solve -25 = -5*w, n*j - 2*w = -w - 9 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**29*b*b**7)**(-11))**2 assuming b is positive.\nAnswer: b**(-814)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 630330?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -31*j**2 - 4*j - 2. Give h(-2).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 7*w**2 + 2*w - 8. Let m be c(7). Calculate the highest common factor of m and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -27*u**5\/10 - 9*u**4\/2 + 49*u. Find the third derivative of g(y) wrt y.\nAnswer: -324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -3*q**4 + 14304*q**3 + 128955*q**2 + 114648*q = 0.\nAnswer: -8, -1, 0, 4777","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 + 96 = -1135*x + 1153*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3666 and 156.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -u + 5. Suppose u*d + 4*p = d + 105, -d + 3*p = -22. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (6 - 3) - (-6 - -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36538, 146365, 329756, 586993, 918358, 1324133, 1804600?\nAnswer: 2360041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 18*v + 15. Let p(s) = s + 2. Let i(x) = 6*p(x) - u(x). Let g(a) = 2*a**2. Determine g(i(j)).\nAnswer: 288*j**2 + 144*j + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p + 33 = 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2\/4 + 117537*q\/2 - 4604982123\/4.\nAnswer: -3*(q - 39179)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in 2\/5, 2\/69, -5, 0.1?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11846851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1063 - 2127\/2. Which is the closest to -2? (a) -2\/5 (b) 0.2 (c) l (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/359 + 4644\/68569. Let f = -51886\/981 - -40488652\/936855. Let a = m + f. What is the common denominator of a and -58\/9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 + (-168*2)\/(-2). Let s = -391\/2 + m. What is the common denominator of s and -69\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 1552.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/60369291 and -7\/109134.\nAnswer: 362215746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1168, 2340, 3526, 4732, 5964, 7228?\n\"Answer: p**3 + p**2 + 1162*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*l - 2 + 16. Let q = -36 - -38. Suppose -3*k = -q*y - 20, 0 = -2*y + 5*k - 0*k - 16. Sort 0, y, l, 1.\nAnswer: y, l, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 + -1011001011101101010101?\nAnswer: -1011001011101101011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 15969*o + 6 - 1 - 1.\nAnswer: 15969*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 310 and -9?\nAnswer: -2790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 26 (b) -0.1 (c) 0.1 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 45\/(-105)*14\/(-2). Solve 0 = f*j - 8*j + 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 71159191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 187 = -167 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3232 - 3232.5. Let s = 11 + -16. Which is the fourth biggest value? (a) s (b) 0.3 (c) n (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 2*i - 5, -2*i + 6*t = 3*t - 11. Suppose 3*p - 5*p = i. Find the common denominator of ((-979)\/77)\/(4\/p) and 79\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (2 - (2 + 0))) + (-51 - -57)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, q: 3}. What is prob of sequence qx?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -2. Let x be 10\/(-15) - 4\/a. Suppose x = -10*h + 5*h. Solve -d - 3*d = h for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k\/(k**(-4\/9)\/k))*k**(9\/2)*k*k**(6\/11)*k*k**(-7) assuming k is positive.\nAnswer: k**(-277\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -13*y**8\/28 - y**7\/21 - 25*y**4 - y**2\/2 + 586*y. Find the third derivative of p(n) wrt n.\nAnswer: -3120*n**3 - 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k + 2. Let v be f(4). Let t = v - -1. Let o(n) = -n + 1. Let b(y) = 3*y - 2. Determine t*b(q) - 2*o(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h + 35 = 4*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49 + 54. Sort -1, l, -7.\nAnswer: -7, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4606 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 6*m - 11. Let w be i(6). Let n = 296 + w. Is n a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 267929*k**3 + 89341*k**3 + 89297*k**3 + 1 + 89293*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1330 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (190\/132)\/((-20)\/(-36)) and 31\/88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 166 + -171. Let x = -0.6 - 7.4. Let u = 6 + x. Which is the nearest to -0.1? (a) 2\/7 (b) u (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18.5, -1.11, 3, -0.3, -1\/5 in decreasing order.\nAnswer: 18.5, 3, -1\/5, -0.3, -1.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3190)\/58*(-4)\/(-11).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 4:22 AM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/7 - 1334*b - 28023\/7.\nAnswer: (b - 9341)*(b + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1782\/(-132) - -11)\/((-10)\/(-88)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 12:58 PM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49 + 22. Let s(q) = 3*q**3 - q**2 + q + 1. Let f be s(3). What is the remainder when 6\/b - f\/(-18) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 5*(5*sqrt(720) + -1) + (sqrt(720) + -2 + -1 - (sqrt(720) - (sqrt(720)*1*3 - sqrt(720)))))**2.\nAnswer: -2592*sqrt(5) + 524896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27083 and 2555?\nAnswer: 135415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 321814 is divided by 138?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1c - 2d?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13337355 - -1800535016\/135. Let n = 287\/5 + y. What is the common denominator of ((-2)\/4*49)\/(217\/14 + -8) and n?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3\/21 + 656\/14 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25654 and 3048?\nAnswer: 307848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 123\/40 - -13\/40. What is the common denominator of 131\/30 and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 5*v - 4. Let i(p) = 14*p**2 - 5*p - 6. Let u(n) = -n**2 + n + 1. Let q(j) = -i(j) - 5*u(j). Let t be q(1). List the prime factors of g(t).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3 + 117167*b**2 + 351514*b - 468680.\nAnswer: -(b - 117170)*(b - 1)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.7436661kg?\nAnswer: 743666100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 + -1)*(-1)\/1*-7. Let t = 15 - b. Suppose -2*s + 2 = 4, p - 2*s = 4. Put -4, p, t in increasing order.\nAnswer: -4, t, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -122700 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(2) - (2 + sqrt(2) + 0))**2 - ((-5 + (sqrt(12)\/sqrt(6) - sqrt(2)))**2 + sqrt(2))).\nAnswer: -42 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 18*g**2 + 31*g + 21. Let a be o(16). Calculate the remainder when (3*a)\/(232\/(-128) + 2) is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2277, 9001, 20207, 35895, 56065?\n\"Answer: 2241*b**2 + b + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9201 - -9187. Let f(s) = 2*s + 29. Give f(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y**2. Let c(v) = 10*v**2 - 3. Let w(s) = s**2. Let k(x) = c(x) - 2*w(x). What is k(a(d))?\nAnswer: 72*d**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-7\/5)*m**(15\/4) assuming m is positive.\nAnswer: m**(47\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q. Let k be j(0). Suppose -4*r + r + 12 = k. Let b(d) be the first derivative of d**3\/3 - 2*d**2 - d - 2. Give b(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -7. Let b(t) = t**2 - 6*t + 2. Let s be b(5). Let k be 0 + (-5)\/(-2) + s. What is the closest to k in -0.2, g, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.3681557l?\nAnswer: 368.1557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-2\/7))**37)**50)**21 assuming w is positive.\nAnswer: w**27750","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5390 (base 10) in base 3?\nAnswer: -21101122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2596)\/2610 + (-6)\/(-27). Let n = 5\/29 + m. Which is the second smallest value? (a) -3 (b) n (c) -0.2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19182 and 184?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**2 - 5*t - 4. Let c(b) be the second derivative of b**4\/2 - 7*b**3\/3 - 11*b**2\/2 + 11*b. Give 4*c(d) - 11*y(d).\nAnswer: 2*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**2 - 9*o - 16. Let i be y(6). Find the first derivative of 15*t**i - 15*t**2 - 31 - 3 + 36*t**3 wrt t.\nAnswer: 108*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.48 or -10?\nAnswer: -1.48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**2 + 15*v + 1. Let i be c(-6). Let y = -3 - i. Suppose 0 = -7*u - y - 28. Let l(w) = -w**2 - 6*w - 1. Calculate l(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -69*k + 43. Let h be p(-5). What is h rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33.705 - 304.\nAnswer: -270.295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + m - 3)*(-2 - 9*m**2 + 2).\nAnswer: -9*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1800 and 434880?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l. Let f(o) = 2*o**2 - 3*o - 2. Let m(y) = 6*b(y) + f(y). Let p be m(1). Solve p*z = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24731.\nAnswer: 7, 3533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 + 739208*q + 3695990.\nAnswer: 2*(q + 5)*(q + 369599)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253571 is divided by 452?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p**4 + 2*p**4 + 0*p**4 + (5 - 5 - 10*p)*(-3*p - 3*p**3 + 3*p) as k*p**3 + c + j*p + o*p**4 + d*p**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -283b924 (base 13) to base 7.\nAnswer: -213151224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a minute in milliseconds?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/((-2525)\/(-6)))\/(50\/(-11250)*135)?\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -7*y + 5*y - 28, 52 = 2*w + 4*y. Let d be (-4)\/14 - 18\/(-14). Let t be d*2 - w\/9. Solve t = -3*f + 3 - 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dfdd when four letters picked without replacement from fdfdffdf.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -20. Suppose -c + 112 = t*n, 41*n + 43 = 43*n + c. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -322 = -b - 5*p, 4*b = 57*p - 62*p + 1228. Calculate the remainder when b is divided by 72.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*c**2 + 4*c**2 + 9*c**2 + 4*c**2 to the form f*c + j*c**2 + b and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 15*y - 13. Suppose c + 0*c = -14. Let d be k(c). What is the common denominator of 21\/32 and -3 + (12\/32)\/d?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1145882 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.3 - 7. Let g = 0 - 0.1. Let o = g - y. What is the closest to 0 in 0.5, 0.2, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 45?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 137783844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*b + 800 = 225. Suppose -k - 20 = -4*s, -b = -5*s + 14*k - 19*k. Solve -2*i - s = -7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19151 - -57455\/3. Which is the smallest value? (a) -4 (b) p (c) -1 (d) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61 + -61.33. Let m = x - 0.07. Sort -4, 8, m.\nAnswer: -4, m, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/18 + (-11)\/((-594)\/(-312)). Which is the closest to 0.2? (a) 2 (b) -4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117027 = -2*i + 2*v + 37405, -5*v = 15. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 3*g**2 + (-g + g + 2*g)*(-g - 3*g + 6*g) - 4*g**2 + g**2 + 5*g**2.\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -57067 times -450\nAnswer: 25680150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 - 0.1. Let v = -239\/3 - -79. Let k = 1 + -1.1. What is the nearest to v in k, 0.1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccc when four letters picked without replacement from ccccccccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -68 + 92 + 2*j - 23 - 1481*j**2 - 798*j**2 in the form q + k*j**2 + l*j and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2832)\/(-3776)*-3*(-5)\/((-45)\/132).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -18, -1104\/7, 0, 5, 2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 84*i**2 + 60148*i + 2831. Calculate g(-716).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 6 - -13 - 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 27 = -n, -2*m + 93 - 111 = -4*n for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41 + -37. Suppose -139 + 31 = -n*m. Let j = m - 26. Let q(c) = -c - 1. Calculate q(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125819 = -3207*f - 69536 + 78411 for f.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9845, 6554, 3261, -34, -3331?\n\"Answer: -o**2 - 3288*o + 13134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*s**2*t**2 - 95055*s**2*u**3 - 35*s*t**2*u**2 - 8*s*u**2 + 84*t**2*u**3 - 2*t**2*u**2 - 692*u**2 wrt u.\nAnswer: -570330*s**2 + 504*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**2 - 3*f**3 + f**2 - f**3 + f**3 + f**3 + (3*f + 0*f - f)*(-f - f**2 + f).\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8257*n**3 - 28*n - 2 - 8256*n**3 - n + 8*n**2 to the form j*n**3 + s*n**2 + p + k*n and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + 293148035726.\nAnswer: 293148035731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14758, -14688, -14622, -14560, -14502, -14448, -14398?\nAnswer: -14352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 150*b**2 - 148*b**2 - 41*b**3 - 1 - b**4 - 40*b**3 + 2*b**4 to the form c*b + n + v*b**4 + k*b**2 + p*b**3 and give p.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*m**3 + 1235*m**2 + 1195*m**2 - 825*m**2.\nAnswer: 17*m**3 + 1605*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k*k**6))\/(k*k**(-3\/7)\/k)*(k\/k**(-1\/5)*k)**(-10) assuming k is positive.\nAnswer: k**(-200\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35)\/(-175))\/((-73)\/(-9855)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 4) + (-22 - -22) + 12\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus 154168373?\nAnswer: -154168376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 0.1 (c) -12.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -204*p**2 - 2. Let z(h) = -3619*h. What is k(z(m))?\nAnswer: -2671820844*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 6 + 2)*(3 + 4*j - 3) - 5*j + 3*j + 4*j)*(1 - 4 + 4 + (1 + 0 + 1)*(0 + 1 + 0)) as r*j + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21487 + -21480. What is the smallest common multiple of 7899 and m?\nAnswer: 55293","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 7*s - 95 = 0. Let t = s - -27. What is the smallest common multiple of t and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 11*g**2 - 8*g - 14. Does 17 divide z(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of 5*u**4\/12 - 10*u**3\/3 - 16*u + 1. Solve y(k) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n**3 - 2*n**3 + 4*n**3 + (-n + 0*n - n)*(-2*n**2 + 2*n**2 + n**2).\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60477 and 31008.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 54*c + 2 = -53*c, 2*c = 4*g - 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 178, 2319, 8134, 19459, 38130, 65983, 104854?\n\"Answer: 306*q**3 + q**2 - 4*q - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 4*i**2 - 40944*i + 81872 = 0.\nAnswer: 2, 10234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c**2 + 112*c + 5. Let k be t(32). Calculate the highest common factor of 141 and k.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 26434098\nAnswer: -52868196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**0*n)*n**3)\/(((n*n**(2\/7)\/n)\/n)\/(n*n*(n\/(n\/(n*n**(-2)))*n)\/n)) assuming n is positive.\nAnswer: n**(33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16467055?\nAnswer: 5, 11, 299401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g*g**(-6\/5)*g)*g**(4\/11)\/g)**(-40) assuming g is positive.\nAnswer: g**(632\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 4*h**2 - 25*h - 14. Is b(19) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*24\/(-1344)*-70?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (15 - 0)) + -18 + (-16 - -37)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2*u - 8, -u + 0*o + 8 = 2*o. Let t(c) = c. Calculate t(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of -d**4\/24 - d**3\/3 + 2*d**2. Let j = -86 - -92. Let l be -5*10\/15*j\/(-5). What is y(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49 and 2401.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*t - 3096 = 4296. Calculate the remainder when t is divided by 68.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*i - 5852278 = -5839628 for i.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1426 - -2059. Suppose 2*k + k - h = 0. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one quarter of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 166, -0.4, 0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 332.05 + -392. Let c = -140 + 202. Let b = c + u. What is b rounded to one dp?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58057051 to the nearest integer?\nAnswer: 7620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 5*f - 80. Is f < 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5 = -g - 1, -g = -4*v - 16. What are the prime factors of -4*(-3 + 4) - (-50 - g)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 189 * -100.\nAnswer: -18900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 163 - 142. List the prime factors of g.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a - 2. Let t(l) be the first derivative of -3*l**4\/2 - l**3\/3 - 2*l**2 - 20. Let i be t(-2). Let h be (i\/(-65))\/(4\/10) + -1. Calculate o(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -10, 2, -1, -50 in increasing order.\nAnswer: -50, -10, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 38794, 38792, 38790, 38788, 38786?\n\"Answer: -2*c + 38796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 417 and 228099?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/987 and 34\/6342063.\nAnswer: 298076961","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(612) + 0.\nAnswer: -4 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.001*-0.205395.\nAnswer: -0.000205395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 351223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 314112?\nAnswer: -314111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9515 and 0.2?\nAnswer: 9514.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from msmffffm?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2\/5 - 8856*d\/5 - 8852\/5.\nAnswer: -4*(d + 1)*(d + 2213)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-2 - -2)) + -3 - 3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1150, -1148, -1152, -1168, -1202, -1260?\n\"Answer: -i**3 + 3*i**2 - 1152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 1\/5 (b) 170 (c) -0.1 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-36))\/(5\/(-2))*3.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104044 (base 5) in base 6?\nAnswer: 24521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 330611935 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 1 = -2*p - 5*i, p + 20 = -5*i. Let b be (-6)\/(-3)*6\/4. Solve b*x + 32 = -4*z, -z + 0 = -p*x - 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -o**3\/3 - 2*o**2 - 4*o - 59. Calculate m(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40*c**2 - 44395*c + 5550.\nAnswer: -5*(c + 1110)*(8*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6955.325 kilometers in centimeters?\nAnswer: 695532500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 11:09 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80 and 237104.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 251 - 261. Let j be (y\/25)\/(0 - (-4)\/(-860)). Is j less than or equal to 84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -m**3 - 50*m**2 + 56*m + 61. Let l(o) = 2*o**2 + o - 1. Let f(i) = -j(i) - l(i). Differentiate f(q) wrt q.\nAnswer: 2*q + 99","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/27*(-12210)\/4477\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 - 11 + 9)*(2 + 2 - 1)*(2*y**2 - 14*y**2 + y**2) in the form u + o*y**2 + n*y and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22159?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + -0.142146?\nAnswer: -0.242146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 693.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*s + 2*s - 15. Let a be 3\/1 + 2 + s. What is the third derivative of -a*c**4 - 4*c**2 + 0*c**4 + 0*c**4 wrt c?\nAnswer: -48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -14*i**2. Let b(l) = 5*l**2. What is -17*b(v) - 6*q(v)?\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 6, 2 in descending order.\nAnswer: 6, 4, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/(-12) - 6\/4. Suppose -j + 2 - 1 = h. Let y = 3 - 1. Calculate the remainder when y is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -8.3. Let v = 12 + -9. Let k = v + -2. Sort n, 0.4, k in decreasing order.\nAnswer: k, 0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 4*p**2 - 5*p - 5. Let z be n(-3). Let g = 0 + -2. Is g smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50914337 to the power of 1\/3, to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m + 62*m**2 - 20*m**3 - 27*m**2 - 299 + 52 - 35*m**2.\nAnswer: -20*m**3 + 3*m - 247","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -91*-14203\nAnswer: 1292473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b - 2*b**2 + 3*b)*(34*b**2 - 27*b**2 + 62*b**2) to r*b**3 + a + j*b**4 + h*b**2 + l*b and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 151 + 526. Let o be ((-16)\/6)\/(140\/i - 2). What is the greatest common factor of 50 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1227\/4 - -308. Which is the closest to 0.1? (a) 0.2 (b) 3 (c) j (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/11 and -77\/1647?\nAnswer: 18117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 160291.2022 rounded to the nearest 1000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 64*w - 546. Calculate q(6).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 301*i - 3034. List the prime factors of j(50).\nAnswer: 2, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/4)\/((-1)\/(-8)). Let r = 6 + t. Suppose 5*a = r + 73. Calculate the remainder when 27 is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3\/2 - 57*i**2\/2 - 132*i - 138.\nAnswer: 3*(i - 23)*(i + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4497032?\nAnswer: 2, 562129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 + 26 + 13*q)*(-2*q + 1 - 1 + (-2 - 1 + 4)*(-16*q + 4*q - 4*q)).\nAnswer: -234*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 137208 rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/58222 and -7\/3709960?\nAnswer: 159528280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -747 + 736. Let w(p) = -p**2 - 13*p - 17. Give w(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/1617, 1, 1\/5, -6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4a17 + 1113?\nAnswer: 5b2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 2*v - 168, -2*r + 65 + 319 = 5*v. Suppose 0 = -17953*w + 17944*w + 72. What is the smallest common multiple of w and v?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(q + 4 - 4 + (1 + 1 - 4)*(-q - 4*q + 3*q) + 0*q + 4*q - 6*q + q - q - q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 443 + -321. Suppose -5*v - x = -s, 3*v = -3*s + 133 + 305. Is s a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = -2*j - 7*d - 8, -3*j = 4*d + 34. Let s(u) = -7*u + 14. What is the remainder when s(j) is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r - 1. Let h(v) = 264*v + 2. Let w(y) = h(y) + 2*o(y). Let z be w(1). Is (0 + z)*(-1)\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1224 or 6?\nAnswer: 1224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, d: 2, m: 2, p: 3}. Give prob of picking 1 d and 1 m.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2390.\nAnswer: 2, 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 5*o**3 + 24*o**2 - 7*o + 13. Let n be k(10). Suppose 22*r = 21885 - n. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 3*a**2 + a - 6. Let l(s) = s**3 + 4*s**2 - 5*s + 4. Let g = 1 + -6. Let d be l(g). What are the prime factors of k(d)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 17\/2426?\nAnswer: 17\/2426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 18088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -0.01 (c) 5 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nnnnxnnxxxxxxxnnnxxx.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -90 + 5 + (91 - 100) + 3 + -14 + 7\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 0.5 (c) 51\/5 (d) -5 (e) 0.077 (f) 0.38\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 54 - 56. Let x = 1 + 0. Let h = x + w. Sort -0.11, 2\/9, h.\nAnswer: h, -0.11, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 18, 1\/4, 0, -5, 12.122?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 12) in base 10?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -0.06, 0.4 in decreasing order.\nAnswer: 34, 0.4, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 245 and 77.\nAnswer: 2695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7780 is divided by 251?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -44?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-68)\/18)\/(40\/(-30))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -6*m - a + 6, -2*a = 5*m - 15. Let r = -22 + 24. Suppose 4*x - 42 = -r. Sort -1, x, m, 4 in descending order.\nAnswer: x, 4, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 divided by 31239.\nAnswer: -41\/31239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and -0.538.\nAnswer: 4.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 47310210 divided by -1577007\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14884417 to the nearest integer?\nAnswer: 3858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 4 = 3*t - 4*q, -2 = 3*t - 2*q. What is the closest to t in 2\/3, 0.2, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4\/251, 8\/7, 0.2, -2 in increasing order.\nAnswer: -2, 4\/251, 0.2, 1, 8\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 729508501?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48\/35 - 11\/7. Sort 5, -2\/3, 4, f in descending order.\nAnswer: 5, 4, f, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -2\/5*l**5 + 0 + 1\/15*l**6 + 0*l**2 + 2\/3*l**4 + 0*l**3 - 170*l. Factor f(p).\nAnswer: 2*p**2*(p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of 5*c**4\/24 - 2*c**2 + 141*c + 1. Let j = -1 + 2. Calculate o(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-4) - 1\/3. Let j = 2.4 + 1.6. Put j, u, -1\/9 in ascending order.\nAnswer: -1\/9, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of g**5\/15 - 100*g**4\/3 + 20000*g**3\/3 - 744*g**2. Factor x(a).\nAnswer: 4*(a - 100)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -3. Suppose -15 = -t + 6*t. Suppose 0*r = 3*r - 15. Put t, r, b in descending order.\nAnswer: r, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -l - 3538, 3*b - 5*l - 880 = 2638. List the prime factors of b.\nAnswer: 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 102*l**2 - 1636*l + 34. Determine u(16).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 672*s**3 - 91.\nAnswer: 2016*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(75) - (sqrt(75)*-5 + sqrt(75))) + 2 - sqrt(75)))**2 + 2 + (-3 + (-2 + sqrt(363))**2 - sqrt(363)) + sqrt(363).\nAnswer: 36*sqrt(3) + 1570","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60877393, -121754787, -182632181, -243509575, -304386969, -365264363?\nAnswer: -426141757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92502 = -42*c + 44*c. Is 2\/17 - c\/(-51) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 5*m = 180 + 420, 0 = 3*d - 5*m - 370. Is 23 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 561458.\nAnswer: 2, 280729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j**5\/2 - 89*j**4\/2 - 7*j**3\/2 + 89*j**2\/2 = 0. What is j?\nAnswer: -1, 0, 1, 89\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o + 6. What are the prime factors of h(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -175562600 to the nearest 100000.\nAnswer: -175600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*n**2 + 0*n - 1\/4*n**4 - 1\/2*n**3.\nAnswer: -n**3*(n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 8*u**2 + 12*u + 5. Let t be n(6). Solve 4 = -5*s + 5*p - 36, -4*s - t = 5*p for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + ((-4 - -6) + -1 - -6 - 4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 206180531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1.78933*-88\nAnswer: -157.46104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9934.17 and -12?\nAnswer: 119210.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u - 8. Calculate q(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 12*d**2 - 11*d + 4. Let y be p(11). Suppose y*x - 4*l = 77 + 111, 3*x - 2*l = 140. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, 2, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(754\/(-3432) - 2\/(-8)). Solve -o*q - 2 = -35*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(7) + (sqrt(70)*-2)\/sqrt(10).\nAnswer: -4 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o + 8. Let h be x(5). Let r(i) be the third derivative of 0*i + 1\/60*i**5 - 1\/24*i**4 + 1\/120*i**6 - 1\/6*i**h + 2*i**2 + 0. Factor r(l).\nAnswer: (l - 1)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 163\/4 - 9 - 30\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*j + 2*j - 6*j)*(-2528 + 954 + 715 - 2498 - 2453) to the form g*j + x and give g.\nAnswer: 5810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1136090 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-579)\/(-15) + 5*2\/25 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9981670, -9981654, -9981638, -9981622, -9981606, -9981590?\nAnswer: -9981574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 329 = -3*h, -272 = -0*r - 4*r + 2*h. Calculate the remainder when 193 is divided by r.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -3*n + 35, 0*g - 2*g = 5*n - 35. Suppose -t - n = -29. Solve -6*x - 3*z + t = -x, -5*z + 27 = 4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (3 - -2) + 10 + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*a = -36*a + 112197. Calculate the greatest common factor of a and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 14) to base 16\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g + 8. Let f be n(-7). Let t be (8*f)\/((-5)\/(-5)). Let a be t*(1 - (-2)\/(-4)). Solve z - a = -3*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.6, 2, 24?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 172 + -163. Suppose 20*d - u*d - 2200 = 0. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 134*d**2 - 446*d - 78440. Let u be w(-135). Let v(i) = i**2 - 3*i - 2. Let y be v(3). Sort y, u, 13 in descending order.\nAnswer: 13, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 + 1 + -7 + 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31087 is divided by 96?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1687607008?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 464657 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 471, 506, 527, 534, 527?\nAnswer: 506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/sqrt(2)*2)\/(sqrt(44)*-2).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -25, 4\/11, -11\/21, 0, -5?\nAnswer: -11\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 6, -1, 2, 74\/9, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -33*k + 14*k + 16*k + 5. Let w be u(3). Sort 2, w, -1, 4 in decreasing order.\nAnswer: 4, 2, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2551?\nAnswer: 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 804 and 516.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1624000 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-2)*(-732)\/(-3294)*(-342)\/4.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 293*m - 5 + 5 - 292*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 30 - 2 - (-6 + (-7 - -2) - -8)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04734780131 to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3940, -7880, -11818, -15754, -19688, -23620?\nAnswer: -27550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 i when three letters picked without replacement from {x: 2, i: 2, b: 1, r: 1, w: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2121 (base 3) in base 13?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (-242)\/33)*6 - 7\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79787 to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1993817 bigger than -17\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65794 is divided by 3283.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**2 + p - p**2 + 4*p**2)*(1 + 3 - 7).\nAnswer: -18*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(24)\/(sqrt(8) - (sqrt(8) - -1*sqrt(8) - sqrt(8))*-4) - (1 + sqrt(48) + sqrt(12)))**2 + 1)*2)*-3.\nAnswer: -15438\/25 - 348*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/378*9*3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**2. Let h(d) = 398*d**2 - 120. Calculate h(f(t)).\nAnswer: 1592*t**4 - 120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -791*g**6*x + 43070*g**3*x**3 + 34*g**2*x**2 - 86966*g*x**3 - x - 1 wrt g?\nAnswer: -94920*g**3*x + 258420*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y. Let g(w) = 407*w**2. Determine g(c(f)).\nAnswer: 3663*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*v - 21 + 207 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 4*o + 5. What is a(2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36.8 + 6.8. Let u = 71663.2921069 - 71633.2921. Let m = u + k. Round m to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 12*u - 360. What is d(30)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 124707 by -41569.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 7. Let i be 4 + (8\/(-2) - b). Suppose -3*r - 40 + 175 = i. What are the prime factors of r?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x - 30 = -2*g + g, 17*x - 32*x - 75 = 3*g for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 6*n**2 - 8*n + 12. Let s be t(7). Suppose -26 = -4*f - 5*p, -f - p - 14 = -s*f. What is the third smallest value in f, -2\/5, -7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 3*o, -3*g - 2*o - 6 = 7 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 69332441 to the power of 1\/4, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*h**3 + 9*h**2 - 9*h**2 - 1248*h**3.\nAnswer: -1200*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -121 + 0*k + 10\/3*k**3 + 0*k**2. Let f(i) = 4*i. Calculate f(w(z)).\nAnswer: 40*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6074027983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 18526680?\nAnswer: -74106720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -14*b + 7. Let x(d) = 28*d - 13. Calculate -6*x(n) - 11*z(n).\nAnswer: -14*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 23491994 to the power of 1\/3, to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -90, 1\/5, 3\/5, 136, 0.09, -7.\nAnswer: -90, -7, 0.09, 1\/5, 3\/5, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 - 40. Let s = a - -26. Suppose -m + s + 3 = 0. What is the lowest common multiple of 2 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -2*w - 5*j - 5, 3*j = -6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5*k = -5*r - 188, -r - 5*k - 20 = 0. Let t be (-4 - r\/32)\/(2\/(-8)). Suppose 4*s - 4 = -2*q, -2*q = -s - 2*s - t. Solve q*n - 9 + 1 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 0, 3*t + 81 = 3*r - 4*r. Let s = 25 + t. Let m be (-336)\/(-72) - s\/(-3). Solve 2*y - 17 = y - 4*l, 5*l = -m*y + 24 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (0 - 2) - (30 - 27).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -2\/11, 13, -1, 0.042 in ascending order.\nAnswer: -1, -2\/11, 0.042, 2\/3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1680 by -42.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*g + 13 = -17 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 10:14 PM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4\/4 + 10*n**3 + n**2\/4 - 10*n.\nAnswer: -n*(n - 40)*(n - 1)*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 11*v - 33. Calculate m(7).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92882175*v**3 + 2 + 92882182*v**3 - 2.\nAnswer: 7*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-2 - 4) - 0 - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 - 1 = 16*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5212 = -28*a + 37468. What is the greatest common factor of 60 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101110 (base 2) to base 14.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 435\/(-21) + 26\/1638*-18.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -4*o**2 - 18*o + 86. Determine f(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-464)*(-21264)\/3987.\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-393.\nAnswer: 1965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3 = -3*o, -3*a - 4*o - 2 - 1 = 0. Calculate the remainder when 117 is divided by (-4 + a + 2\/4)*-40.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gbobzgb. What is prob of picking 2 b, 1 z, and 1 o?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 3*b + 2*b + 29, -4*p + b = -67. Suppose 6 + p = 6*r. Solve 15 = 5*o - i, r*o = 2*o - 5*i + 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -26*w**2 + 1\/60*w**5 + 1\/120*w**6 + 0 + 1\/24*w**4 + 0*w + 0*w**3. Calculate p(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-4))\/((-43)\/((-8600)\/(-140)))?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 116 and 122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s - 3. Let w be y(-2). Let h(x) = 3*x**3 - 3*x**2. Let c(f) be the second derivative of -3*f**5\/10 + 7*f**4\/12 - 21*f. What is w*c(a) + 7*h(a)?\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 213108 a multiple of 236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.4 take away -0.2?\nAnswer: -9.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*s, 4*g - 9 = 7*g - 3*s for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53825?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3127, -5448, -7767, -10084, -12399?\n\"Answer: d**2 - 2324*d - 804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 3:22 AM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 99168249 to the power of 1\/2, to the nearest integer?\nAnswer: 9958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 1982 - 38. Let g = 598 - n. Calculate the greatest common divisor of g and 403.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-19 - -29 - (1 - 10)) - (1 + 2)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) 2\/11 (c) -10951 (d) 1\/7 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - 34*b + 33. Let x be q(-35). Sort -3\/4, x, 0.4, -4.\nAnswer: -4, x, -3\/4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -251.65 - -234.26. Which is the third biggest value? (a) -1\/6 (b) g (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4, 3, 2, 1?\n\"Answer: -u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 39\/20006287 or 0?\nAnswer: 39\/20006287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(1\/(-4) - 27\/(-36)). Let o be (-27)\/(-33) - (-2)\/11. Let p be o + -3*(-6)\/9. Calculate the greatest common factor of p and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5242032 and 291224.\nAnswer: 5242032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 324ba5 + -3?\nAnswer: 324ba2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 2*x + 22 = 0, -5*n = 2*n - 2*x + 87 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*u - 5*z = -79*u + 5, 144*u = 2*z + 2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 7*z**2 + 7*z + 10. Let k be j(8). Suppose 2*g + m = 86, -4*m + 100 = k*g + 8. Suppose g = c + 4. Does 11 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4*q. Let o(z) = 2*z. Let d(g) = -6*b(g) + 11*o(g). Suppose 2*n + 3*n = 0. Let u(x) = 0*x + n*x - x. Give u(d(h)).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 10*s**2 + 699*s - 67. What is y(-70)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 87180.1 to the nearest 1000.\nAnswer: 87000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -331 (base 5) in base 12?\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 3*p**2 - 2*p - 5. Let b be f(-3). Let q(r) = 4*r**3 - 5*r**3 - 1 + 0*r**3. Determine q(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 668*i**2*s**3 - 2*i**2 + 287*i*s**2 wrt s.\nAnswer: 4008*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-468*c + 180*c**2 + 468*c)*(c**2 + 3*c**2 - 3*c**2) to the form j*c**3 + n*c + q*c**2 + f*c**4 + b and give f.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-147)\/(-105))\/(3\/15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 15*y**3 + 150*y**2 - y - 65. What is t(-10)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 9 = -63. Suppose -9 = -3*v, 0*p - 2*p + 2*v + a = 0. Let b be (4\/6)\/(p\/234). Solve 5*r = 3*g + 19, -3*r - 2*r = -g - b for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21499504*k*n**3 - 6*k*n + 8*k - 836*n**2 + 2*n + 1 wrt n?\nAnswer: -128997024*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of t**5\/20 - t**4\/12 + t**3\/6 + 16*t**2 - 5*t. Does 9 divide k(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1051935815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1519112207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 4:06 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -1\/4*o**3 + 2*o - 1\/2*o**2 + 0 + 1\/12*o**4. Determine q so that r(q) = 0.\nAnswer: -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1007*c + 3832 - 28000 for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16800 = 13*t - 9*t. What is t rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (16 - (-3 + (18 - 12))) - 5\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8141 and 4652?\nAnswer: 32564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + sqrt(2))*6 + 3 + (sqrt(64)\/sqrt(8) - (-3 + sqrt(2) + -3)).\nAnswer: 9 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0023 rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -86*o**2 + 0*o**4 + o**4 - 1 + 75*o**2 + 3*o + o**4 as d + m*o**3 + q*o**4 + r*o**2 + s*o and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -892 = 6*u - 58. Let v = u + 142. Let c be (-322)\/v + (-10)\/(-30). Round c to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 42029*f**3*i**3 + f**3*i**2 + 10*f**3*i - f**3 + 32*f**2*i**3 - 2*f*i**3 - 113*f*i**2 + 69*f*i wrt i?\nAnswer: 252174*f**3 + 192*f**2 - 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Convert 17.28614 micrometers to millimeters.\nAnswer: 0.01728614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 16200.42 millimeters?\nAnswer: 0.01620042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ab3 (base 13) in base 3?\nAnswer: 2112000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 190 - 187.4. Is 1\/4 >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 238*z**2 + 255*z**2 - 479*z**2.\nAnswer: 14*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -174?\nAnswer: 1\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of v**6\/120 + v**5\/10 + v**4\/4 + v**3 - 9*v**2. Let j be n(-5). Solve -w - 1 = 4*d + 5, j = d - w for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 7 = p + 2*z, -4*p = 4*z + 28. Let m(c) = 3*c**2 + 12*c + 18. Let a be m(p). What is the greatest common factor of 9 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*s - 4*z - 18, -5*s - 3*z - 655 = -645 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 115*x**2 - x - 2. Let j = 37 + -38. What is the hundreds digit of h(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.4343495 millimeters?\nAnswer: 0.04343495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7574917?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -125 + 137.3. Let g = s + -12.6. Let v = 3 + -2. Sort -11, g, v in increasing order.\nAnswer: -11, g, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l - 12 + 3 + 2.\nAnswer: l - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 - 4)*(-5*g**4 + 2*g**4 - 2*g**4)*((-6 + 4 + 3)*(-2*g - 2 + 2) + 0*g + 0*g - 5*g).\nAnswer: -280*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 53952240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 3:01 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2 + 2*l - 15. Let m(t) = 1. Calculate -i(h) - m(h).\nAnswer: -2*h**2 - 2*h + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -69.52183558536 minus -0.3?\nAnswer: -69.22183558536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l**2 - 11*l - 4. Let t be f(8). Suppose -c + t + 91 = 0. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 727 + -727.12. What is the smallest value in -1\/3, -10, m?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (148\/(-185))\/((-261)\/(-1827)*(-12)\/(-10))?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -761, -622, -409, -134, 191, 554?\nAnswer: 943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8406 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -34 (c) -1 (d) 0.5 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1547.59 and -1?\nAnswer: 1546.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3006435 and 12395.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14086637*l + 14086640*l = 5*t, 0 = 5*t - 2*l - 5 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*m - 4)*(-2*m**2 - m**2 + 2*m**2) - 3*m**2 + 2*m**2 + 145*m + 1 + 10*m**3 - 143*m.\nAnswer: 8*m**3 - m**2 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1392 rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3040 is divided by 32?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36815 - 6537 = 1046*i - 7378 for i.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/45 and -37\/5385.\nAnswer: 16155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 70 + -62. Suppose 0 = 5*z - s - 7. Suppose 264 = 5*k - v, -z*k + 272 = 2*k - 3*v. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*d = 4*z - 1563, -3*d = 5*z - 2605. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -124579, -124588, -124597?\nAnswer: -124606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.4, -95, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -7\/2, -116.\nAnswer: -116, -7\/2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 1\/181 (b) 5 (c) -1 (d) 4 (e) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 12:47 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2 - 6092040*o - 6092045.\nAnswer: 5*(o - 1218409)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 26940 divided by -5\nAnswer: -5388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.34 + 0.06. What is the nearest to 2\/9 in r, 5\/2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -21f99?\nAnswer: 21f9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 3*r - 4. Let z(f) = -f**3 - f - 1. Calculate -k(o) + 4*z(o).\nAnswer: -5*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 0.32988?\nAnswer: 0.16494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 699\nAnswer: -2\/699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -31 + -93 + 4*1. Let d = 169 + y. What is the greatest common factor of d and 245?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -328 - -718. Let r = 0 - -3. Suppose -r*w - h = -6*w. Round w to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -16*y + 9*y + y + 10*y - 19. Is w(21) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + q - 3*d - 21, -2*d + 6 = 2*q. Suppose 7*w + 5*w = 24. Suppose 0*z - y - 293 = -q*z, 2*z = -w*y + 122. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 4)*((r - 4*r + 2*r)*(0 + 1 + 1) - r + r - r).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(2\/7)*p)\/p)**(-2)\/((p**5\/p*p)\/p*p*p**(2\/3))*(p**(1\/15)*p**3\/p*p*p*p)**(-9) assuming p is positive.\nAnswer: p**(-5533\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44743 is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-3))**(17\/4)\/((z\/z**7*z)\/z*z*z*(z*z**6)\/z*z*z))**23 assuming z is positive.\nAnswer: z**(-1541\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -6*s**2. Let b(z) = -59*z + 14. Let f(w) = 20*w - 4. Let m(n) = 2*b(n) + 7*f(n). What is m(c(l))?\nAnswer: -132*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 215704121 by 6.\nAnswer: 215704121\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1374 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1913*x**5 + x**2 - 58*x + 5?\nAnswer: 114780*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 5 - 74*x**2 - 228*x + 231*x + 26*x**2 - 7 to n*x**2 + s*x + g and give n.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5590363 and 11180726.\nAnswer: 11180726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208 = -36*i + 116 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6829\/5 + -1365. Let x = 0.19 + -4.79. Let n = x - -5. What is the closest to -2 in y, n, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away 8.7653803448?\nAnswer: -9.0653803448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.05*0.8\nAnswer: 0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 392166779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10 - 1 - (-6 - -7). Suppose 13*a = d*a + 90. Suppose -l = -3*u + 10, -3*l + 11 + 1 = 5*u. Calculate the highest common divisor of a and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157*w**3 - 308*w**3 + 154*w**3.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 33?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-233 + 184 + 224 + 483)*(-3*k**5 + k**5 + k**5).\nAnswer: -658*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g - 2. Let q be f(-1). What are the prime factors of 3 + 1 - q - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -53, -66, -61, -32, 27, 122?\nAnswer: 259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -4.02 and 3\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-82008)\/(-670) + -123)\/((-28)\/(-40))\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 0*w + 125 = 0. Suppose -31 = -3*m + 5*d, 3*d + 24 = 4*m + 1. Suppose -m*v + w = 3*v. Calculate the lowest common multiple of 9 and v.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 119522 and 1912352?\nAnswer: 1912352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*v**2 - 13962 + 13965 + 54*v**2.\nAnswer: 39*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -235\/364 - -36\/91. Which is the closest to -1? (a) p (b) -5 (c) 0.2 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jggo when four letters picked without replacement from ijzooogigi?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 h when two letters picked without replacement from lhlhlavl?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1)*(y*(y*y\/(y*y**(-5))*y)\/y)\/y)**(2\/23))**11 assuming y is positive.\nAnswer: y**(110\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7472 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2*a**3 - 3\/2*a**2 + 1\/2*a.\nAnswer: -a*(a + 1)*(4*a - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 42 - -54?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 1606 and -5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + y**2 + 3 + 3*y - 4*y**2. Let x be h(3). Does 6 divide x\/(-33) + 64\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 - ((-15 - 0) + (8 - -1) + 0).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 13\/4 of a gram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3\/20 + -1\/10. Let d be -23 - -20 - 4\/(-1). What is the closest to d in -2\/11, 3, t?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.356399 to one dp.\nAnswer: 5.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -11*y**2 + 20*y - 12. Let m(d) = -16*d**2 + 30*d - 19. Determine 5*m(t) - 8*n(t).\nAnswer: 8*t**2 - 10*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2359000, 4717984, 7076954, 9435910, 11794852?\n\"Answer: -7*f**2 + 2359005*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(3\/4)*g*g**(3\/2)\/g*g)**(-2\/3) assuming g is positive.\nAnswer: g**(-17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 264 + 129 = -95. Sort 4, h, 3, 8 in descending order.\nAnswer: 8, h, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-41325)\/(-4959)*(36\/10)\/3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 151618 bigger than 151678?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -5*x**4 - 420*x**3 - 8800*x**2 + 1680*x + 35280 = 0.\nAnswer: -42, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 57704790 to the power of 1\/2, to the nearest integer?\nAnswer: 7596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + p**2 - p)*(-5*p**2 - 2*p**2 - 2*p**2) + (-2*p**3 + 2*p**3 - 3*p**3)*(3*p - 6*p + 2*p).\nAnswer: -6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -8435, 10, -2, -5 in descending order.\nAnswer: 10, -2, -5, -8435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 11*w**3 - 255*w**2 - 1598*w + 1854. What is h(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12.1 + -2.6. Let z = 9.93 - q. Round z to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 21. Suppose -36 = -3*l - 3*i, -l + 2*i + f = -0*i. Let b = -7 + l. Sort -3, b, 2 in descending order.\nAnswer: b, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**2 - 19*y**2 + 23*y**2 - 5*y**3 - 2*y**3.\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xwwwwxxw. What is prob of sequence xwww?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**2 - 2*d + 2*d + (-2*d + 1 - 1)*(0*d + 2*d + 0*d) - 2*d**2 + 0*d**2 - d**2 + 5*d**2 - 11*d**2 + 10*d**2.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 f when four letters picked without replacement from {v: 2, f: 7, m: 2}.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -33\/4. Is -1\/2 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 4*g - 2. Let x be m(5). Let s = 1.443 + 7.557. What is the nearest to s in -1\/4, x, 0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/(-2)*701850\/(-238629)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111001200101002 - -1?\nAnswer: -111001200101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1*6*(sqrt(175) - (-5 + -3 + sqrt(175))))**2.\nAnswer: 2601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 466613052?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 3261792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-25)\/20)\/(2\/(-8)))\/(-16 - -12).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/5)\/((-8)\/(-40)). Find the second derivative of 65*q**2 - 65*q**m + 7*q + 4*q**5 wrt q.\nAnswer: 80*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1372.59 - -1396. What is n rounded to 0 dps?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z - 23. Let c be (16 - (-630)\/(-72))*8\/2 + -7. Calculate q(c).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -2*k + 5, 2*z + 1591955*k - 31 = 1591960*k for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 507 is divided by 52.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**3 - 38*v**3 - 5*v**3 - 6*v**3 + 14*v**3 + 47*v**3 - 11*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/14 - (-4)\/(-14). Factor -3\/5*v**5 + 0 + w*v**3 + 3\/5*v + 6\/5*v**4 - 6\/5*v**2.\nAnswer: -3*v*(v - 1)**3*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*w**2 - 5*w**2 - 4*w**2 - 12*w**2.\nAnswer: -33*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27432*b**4 - 10733*b wrt b.\nAnswer: 329184*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62368928.\nAnswer: 2, 109, 17881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48729?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12043.0076328 - 12043. Round i to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -3*l**3\/4 + 9*l**2\/2 + 3*l\/4 - 9\/2 = 0.\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*r**2 + 13*r**3 - 110*r + 36*r - 12*r**3 + 33*r + 29*r to the form h*r + d*r**3 + a*r**2 + s and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/30 and 57\/44?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02856885 rounded to three decimal places?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-9) - (-272)\/9. Calculate the highest common divisor of 6 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 731285063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iqnaiinnnyyiyain. What is prob of picking 1 y, 1 i, and 1 q?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -14 - 1. Suppose b*w + 0*w = t - 4, 5*t - 56 = 3*w. What is the remainder when 24 is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -20*d**2 + 6012*d - 4524036. Let b(j) = -29*j**2 + 6010*j - 4524038. Let q(c) = 2*b(c) - 3*r(c). Factor q(o).\nAnswer: 2*(o - 1504)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of 0*x**3 + 0 - 1\/200*x**6 + 0*x**4 - 1\/100*x**5 + 0*x + 4*x**2 + 1\/70*x**7 - 3\/560*x**8. Factor r(b).\nAnswer: -3*b**2*(b - 1)**2*(3*b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -1. Let l(z) = z**2 - 2*z - 5. Let f be l(4). Suppose -x + 3*b = -18, -5*x + 3*b + 53 + 61 = 0. Solve x = r*t + f*h - 3, 4*h = 2*t + 6 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -4. Let t = -4.621 - 0.379. Sort v, t, 13\/4, 0.1 in ascending order.\nAnswer: t, v, 0.1, 13\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l*l**(-3\/14)))**(17\/6) assuming l is positive.\nAnswer: l**(-187\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 3*x + 120 = 0. Let t = x - 9. What is the units digit of t\/(-3) - 4\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -60, -88, -114, -138, -160?\nAnswer: -180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 + 379. Calculate the greatest common factor of 116 and u.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 5:57 AM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 4*h + 8 = -3*z, 0 = z - 2*h. Let c(f) be the first derivative of 38\/3*f**3 - 8*f**2 - 14 - 7\/2*f**4 - z*f. Factor c(d).\nAnswer: -2*(d - 2)*(d - 1)*(7*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000030750351 to seven decimal places.\nAnswer: -0.0000308","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -11*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.197 and 2829642.\nAnswer: 2829641.803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -526 - 1206?\nAnswer: -2035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ais when three letters picked without replacement from asiavvyayy.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 143*g + 147*g - 14 = 0, -4*g + 10 = d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.06 + -0.06. Let p = k - 3. Suppose 12*x = 7*x - 15. Sort x, p, -0.4 in ascending order.\nAnswer: x, -0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-20) - (-2)\/(-10))*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, -1, 70, 0.6, 8, -2\/37?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2 + 2 - i**3 - 2081*i**6 + 2084*i**6 + 16*i**2 wrt i.\nAnswer: 360*i**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 0) + 6249 + 4. Suppose 0 = -0*g - 2*g + 4, -5*z = -3*g + r. Round z to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36074 minus 0.866?\nAnswer: 36073.134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-1)*d)**(-3)*d\/((d*d**6*d*d)\/d)*(d\/d**(1\/8)*d)\/d assuming d is positive.\nAnswer: d**(-73\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t - 11*t + 20*t + 8 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 62734319 rounded to the nearest one million?\nAnswer: 63000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4 - 4\/3*v**2 - 4\/3*v**3 + 20\/3*v.\nAnswer: -4*(v - 1)**2*(v + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14834 + -14829. Sort 40, -37, l.\nAnswer: -37, l, 40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 52539 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 504525.4l?\nAnswer: 504525400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 times -794\nAnswer: 555.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*f - 74 + 179. What is the least common multiple of f and 194?\nAnswer: 1358","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -62 + 67. Put 0, -2, u in increasing order.\nAnswer: -2, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 3:22 AM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4*z - 664 = 0, 9*z = 4*w + 11*z - 662. Calculate the remainder when 9734 is divided by w.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 6*d + d = -57, -5*h - 5*d = 90. Let f = 12 + h. Let m = 5 - f. Calculate the lowest common multiple of 26 and m.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of v**3\/3 + 2. Let z(i) be the first derivative of -16*i**2 + 161. Determine z(w(o)).\nAnswer: -32*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32065121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-9))\/((-25)\/300)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 3. Let i(g) = -6*g**3 + g**2 - 16. Give 2*i(d) - 11*t(d).\nAnswer: -d**3 + 2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3\/520 - 11\/2600. Which is smaller: a or 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -17*w - 47 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 6 = -18. Solve z*v - 5*h + 37 = 0, 4*v + 5*h - 13 = -0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 349ba (base 12) in base 5?\nAnswer: 4224213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001110233 rounded to seven decimal places?\nAnswer: -0.0000111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of y**5\/20 + y**4\/3 - y**3\/6 + 3*y**2 - 52*y. Give c(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 162811, 325860, 488907, 651952, 814995, 978036?\n\"Answer: -g**2 + 163052*g - 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/15 (b) 0 (c) 5 (d) 548 (e) 61 (f) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, u: 14}. Give prob of picking 3 k.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 733 = -55*c - 1082 for c.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -370, -282, -194, -106, -18, 70?\nAnswer: 158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 10 and -7898927.\nAnswer: -7898917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 270360 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -3*k**4\/4 + k**3 + 467*k**2\/2 - 72*k + 4. What is the derivative of i(w) wrt w?\nAnswer: -18*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -232, -483, -904, -1495, -2256, -3187, -4288?\nAnswer: -5559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(77) + (sqrt(77) + sqrt(77) + (sqrt(77)*-2 - sqrt(77)) - sqrt(77) - sqrt(77)) + sqrt(77))\/sqrt(7) - sqrt(55)\/(sqrt(30)\/sqrt(6)))*2)**2.\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -230*i - 810. Determine p(-7).\nAnswer: 800","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, u: 5, i: 2}. Give prob of sequence uiu.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 3*n - 54. Let p = n + -14. Is 23\/p*(34 - 14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v**2 - v. Let s be o(-1). Suppose 56 + 40 = s*p. Suppose -3*x + p = -30. Is x a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/5)\/((95480\/(-1200))\/31)\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 15*x - 37. Suppose 5*u = -2*v - 90, -3*u - v + 0*v - 53 = 0. Is z(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.04 - 3. Let l = -650\/27 + 4604\/189. Let k = -166.7 + 167. Which is the smallest value? (a) s (b) k (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of p**4\/6 - p. Suppose 15*b = -5 - 85. Let j(v) = 2*v + 7. Let w(h) = 2*h + 6. Let d(y) = b*j(y) + 7*w(y). Determine d(s(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 44\/8 + (-3)\/(-6). Suppose -16 = 4*k, -5*h + k + c = 2. Suppose -4*n + 103 = -h*n + 5*l, n - 4*l - 10 = 0. List the prime factors of n.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 7:23 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -51581*z**2 + 29768 with respect to z.\nAnswer: -103162*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 p when two letters picked without replacement from pppsspspssssspppsp?\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1527, -3, -2, -0.3, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 5*o - 8, 3*z + 24 = 7*z - 2*o. Let r = z - 9. Let k be (-1 - 7\/(-21)) + 4\/6. Put r, 1, k in descending order.\nAnswer: 1, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 2192 = 4*n. Let o be n\/(-6) - 9\/(-18). Let k = 91 + o. Put 4, -0.4, k in increasing order.\nAnswer: -0.4, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2533\/45 - 282\/5. Let f = 1.41 - -0.09. Let r = f - 1.9. Which is the second biggest value? (a) j (b) 2\/9 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.6 - -1.4. Let b = t + 0. What is the closest to b in -2\/7, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8470 is divided by 1042.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 70 + -86. Let k(p) = p**3 + 22*p**2 - 26*p - 51. Is k(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2*l = -18, 5*r = 2*l + 55 - 25. Suppose -14 = -2*j - 0*j. Calculate the remainder when j is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28755771 or 28755772?\nAnswer: 28755772","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 25 = -43. Let a be 408\/d*3\/2. What is the highest common divisor of 18 and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-84)\/49)\/((-4)\/14). Let i be -17 + (-2)\/4*2. Let f be -15*(-4)\/i*-6. Solve -2*z + l*z = -f for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4479?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -918*z = -483*z - 456*z + 231 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107529 + 107529 + 17*x.\nAnswer: 17*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*k**2 + 32*k**2 + 11 - 8*k**2 - 10*k**2 to the form v*k**2 + p*k + m and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -933822.492 rounded to the nearest ten thousand?\nAnswer: -930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/6)*o\/(o*o\/((o*o\/(o\/((o\/o**(-2\/7))\/o*o))*o)\/o)))\/((o\/((o\/((o\/(o**(-4)\/o))\/o))\/o))\/o**(-1\/7)) assuming o is positive.\nAnswer: o**(-211\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1195067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (11 + -19) - (1 - (-21 - 5))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2944 and 4048.\nAnswer: 32384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from neqeqnqnqqejqe. What is prob of sequence qjn?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -4*k + 19, -2*k = -4*k + 2*x + 6. Suppose 0 = -k*b - 76 - 128. Let y = -12 - b. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q = 5*q + 2608595. Suppose 5*o - q = -4*f + 678293, 0 = -4*f + 12. Suppose -4*t - t = o. What is t rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2792?\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/72 and 46\/33?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -4*g - 14, f - g = -f + 14. Let w(t) = t - 8. Determine w(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -241.609 to the nearest 10.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -143, 3\/5, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 f, and 2 e when four letters picked without replacement from {f: 1, g: 1, a: 1, e: 4, j: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/8 of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-2\/41))\/w)\/w)\/w*w*w*w*w*w\/(w\/(w**(-4)\/w)*w)*w*(w\/(w*w*w**(-13\/5))*w*w)\/w*w**29 assuming w is positive.\nAnswer: w**(5853\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -10, -r + 6*r + 5*y = -1425. Let d = r - -1401\/5. Which is the nearest to 0.1? (a) 4 (b) d (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 418 = 12*t. Suppose 5*d = -0*g + 4*g - 203, 5*d - 253 = -4*g. Calculate the highest common factor of t and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -44?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/1071 and -31\/20587?\nAnswer: 185283","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 909 + 628. What are the prime factors of 20\/30 - y*(-1)\/3?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2851.94913 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -5. Let k = 10 - 10.1. Which is the closest to p? (a) 5 (b) -4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 239544*a - 239544*a - 3*a**2. Let s(i) be the first derivative of -4*i**3\/3 - 5. Give y(s(g)).\nAnswer: -48*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 204\/60 - (-4)\/(-10). Let t be (-6)\/(-4) - 13\/(-2). Let l(q) = t*q - 14 + 11 + 5*q**2 - 2*q**r + q**3 - 2*q. Give l(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 4*t - 5. Let r(b) = -b**3 - b + 1. Let x(z) = 2*r(z) + y(z). Suppose 3*w - 2*w - 2 = 0. Determine x(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*l + 13*l. Let x(z) = -5*z**3 - 2*z**2 + 4*z + 6. Does 15 divide x(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**2. Let n(f) be the second derivative of f**6\/10 - f**4\/6 - 23*f**3\/6 - 41*f. Let p(l) be the third derivative of n(l). What is h(p(s))?\nAnswer: -10368*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1042, 1275, 1636, 2191, 3006?\nAnswer: 4147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (14\/4 - 3)*(-2010250)\/(-85) a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {w: 5, d: 5}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 354505 + 3*j + j - 354503 - j.\nAnswer: 3*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 234?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2595.2786 + 4574.849\nAnswer: 7170.1276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1657?\nAnswer: 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 155159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -4, 0.05, -5, 3\/56, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m**2 + m - 1. Let n(r) = 10*r**2 + 19*r + 2. Let s(q) = 4*q**2 + 9*q + 1. Let k(h) = -n(h) + 2*s(h). Give 4*f(p) + 5*k(p).\nAnswer: 2*p**2 - p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.1 + -0.1. Let f = 0.4 - 0.9. Let l = -0.33 + -0.67. Sort f, l, k in ascending order.\nAnswer: l, f, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 10*i**2 + 3*i + 32. Let y be a(-10). Find the third derivative of 4*f**2 - 95*f**y + 7*f**6 - f**3 - 2*f**6 + 6*f**2 wrt f.\nAnswer: 600*f**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 440109.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -113, -173, -233, -293, -353?\nAnswer: -413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*x**6 - 91*x**4 + 682*x**2 wrt x?\nAnswer: 960*x**3 - 2184*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 840319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y**2 - 7*y - 4. Let r(t) = 0*t**2 + 2*t**2 + 19*t + 9 - 5*t + 3*t**2. Let x(b) = -9*i(b) - 4*r(b). Find the second derivative of x(h) wrt h.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 122981*t**2 + 2*t. Let o(f) = f**2. Give x(o(q)).\nAnswer: 122981*q**4 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -2. Suppose -d + x = 1. Suppose 5*y - 2 = -2*l + 3*y, -4*l + d*y = -34. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 1:38 PM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 243467460 to the power of 1\/2, to the nearest integer?\nAnswer: 15603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-1)*r)**(-24)\/((r\/r**(-5))\/r**(4\/11)))**39 assuming r is positive.\nAnswer: r**(-12714\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13920 and 35468.\nAnswer: 123428640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13976717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 107.2 and -125.\nAnswer: -13400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-9))\/(8\/(-12))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8127 and 594.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.86 + 0.56. What is the second smallest value in b, 4, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 5000*g + 146. Let f be m(7). Find h such that 3*h**2 - 2*h**2 - f - 7*h + 35116 = 0.\nAnswer: -3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4226 divided by 2.\nAnswer: 2113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 5, -584, 4 in ascending order.\nAnswer: -584, -0.5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + r + 34, 5*r - 58 = -4*m - 0*r. Is m a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 571888.1um to meters.\nAnswer: 0.5718881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14600420 rounded to the nearest ten thousand?\nAnswer: -14600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101111100011001 (base 2) to base 14.\nAnswer: -8c2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 459*o - 241*o - 226*o - 2.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 38*v - 341. Let z be j(12). Solve -z = -12*f - 163 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 4. Let g = 0.32 - -0.08. Which is the third smallest value? (a) g (b) s (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92533 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g. Let b(u) = -949*u**2. Give v(b(s)).\nAnswer: -1898*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 7:50 AM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70138*r**2 + 71453*r**2 - 139044*r**2.\nAnswer: 2547*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (-52 + 1) - (-34 - -148)\/19. What is the highest common divisor of u and 1185?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (309\/2060)\/((-6)\/(-10)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v**2 + 175*v = 0.\nAnswer: 0, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25714619 and 4959.\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 202425, 809702, 1821839, 3238842, 5060717?\nAnswer: 7287470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-478.\nAnswer: 143.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 + 18. Let q be 5 + -4 - (-12 - m). Let p = 371 + -371.3. Which is smaller: p or q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/49270725 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20839309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 173080 or 173070?\nAnswer: 173080","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 8:36 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81, 84, 87, 90, 93?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 68958 + -84?\nAnswer: 68884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 403357711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4*f + 2*f - 5*f)*(0*f**4 + 5*f**4 - 4*f**4).\nAnswer: -7*f**5 + 2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**3 + 2*w**2 + 9*w**3 - 8*w**2 - 7*w**3.\nAnswer: 3*w**3 - 6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of 274*z**3\/3 - 217*z**2\/2 + 292. Find the second derivative of n(y) wrt y.\nAnswer: 548","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(0*i**2 + 5*i**2 - 3*i**2) - 3*i**2 + 3*i**2 + 2*i**2 - 214*i**2 - 386*i**2 - 4*i + 2104*i**2 - 183*i**2 - 11*i.\nAnswer: 1327*i**2 - 15*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l + l + 3*l + (0 + 0 + l)*(0 + 3 - 7) + 0*l + 2*l - 4*l)*(-4*l + 6*l - 5*l) to i*l + p + y*l**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -7.25 * -3.23\nAnswer: 23.4175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (561*t**2 + 26327 - 26327)*(-4 - 2 + 7) + 0*t**2 + 2*t**2 + 0*t**2.\nAnswer: 563*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3271*y**3 + 2*y - 2. Suppose -22 = -11*c - 11. Is v(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/36*15*3. What is the units digit of (6 + -7)*(u + 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, -140, -411, -790, -1277?\nAnswer: -1872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10\/7 in 0.65, 3, 207, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -90099*h**2 - 21115*h.\nAnswer: -180198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4842, 19102, 42870, 76146, 118930, 171222, 233022?\nAnswer: 304330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Express (209 + 159 + 61 - 32 - 49)*(-14 - 2*a + 14) as z*a + r and give z.\nAnswer: -696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 683*b**3*q**3 + 10091*b*q - 57*q**3 + 1204*q**2 + 26*q - 1 wrt b?\nAnswer: 2049*b**2*q**3 + 10091*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4*(1 + 18\/(-8)). Suppose 0 = n - 5*w - 28, g*n - 6*w + 4*w = 25. Suppose q - 10 = -n. What is the remainder when q is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*w - 26*w + 0*w - 6*w in the form z*w + l and give z.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.09 and -3.7851.\nAnswer: -0.340659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8790 and 315.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 h, and 1 y when three letters picked without replacement from yqoxhooxhwoh.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13233*j - j**2 - 4*j**2 + 13233*j.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 467 + -473. Which is the closest to 1\/6? (a) 0 (b) 1 (c) w (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.5, 1\/4, -2, -12, -1\/5, 0.1?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-4))\/((-5)\/50). Suppose -u + 5*a = -20, 4*u + 2*a - 4 = 3*a. Suppose u = j - 4*j + 495. What is the highest common factor of j and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -1860, -8.1 in increasing order.\nAnswer: -1860, -8.1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27581?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3\/4, -11, 3\/2, 0?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d - 8. Let r be t(4). Suppose r = -2*s + 6 - 2. Suppose -2*k + 4832 = -2*n, 4*k - 9661 = s*n + 3*n. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + 152*u + 0*u**2 - 151*u. What is h(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of 0*a**5 + 0*a**3 - 8*a + 0 + 0*a**2 + 11\/30*a**6 - 5\/6*a**4. Find the third derivative of i(w) wrt w.\nAnswer: 264*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1689030 > -1689030?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 6\/47, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 15*p + 2. Let o be g(2). Let y be 49 - (0 + (1 - 1)). Let f = y - o. List the prime factors of f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of 3*s + 3\/2*s**2 - 1. What is the derivative of p(o) wrt o?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 28 (c) -0.2 (d) 25 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54370 is divided by 2095?\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhllqhhhllhhlhl. Give prob of sequence hlhq.\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*d**2 - 1 + 4*d + 3*d**2 - 4*d + (-2 + 6 - 3)*(2*d**2 + 3*d**2 - 4*d**2) - d**2 + 2*d**2 + d**2)*((2 - 3 + 0)*(0 - 1 + 2) - 4 - 3 + 2).\nAnswer: -48*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 108\/(-144) + (-14)\/(-8) + -2. Sort 4, 2, u in increasing order.\nAnswer: u, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 u when four letters picked without replacement from ukkybkkukkyyyukby?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 26, 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 74 + -67. Does 2 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 101702647 take away -591687?\nAnswer: 102294334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z + 3. Let d be o(-7). Let r be (1 - (-14)\/(-8))*d. Suppose 20 = r*j + 2*j. Put -5, -1, j in decreasing order.\nAnswer: j, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1100010100 (base 2) to base 11\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 - -18. Suppose c = -s + 2*s. Let g = -146 - -148. Solve -g*o - s*o - 25 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*p + 6*p + 7*p - 125. Calculate the remainder when 472 is divided by p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 275988*t**2*z**3 + 220*t**2*z**2 + 5*t**2*z - 2529*t*z + 19*z**4 wrt z.\nAnswer: 1655928*t**2 + 456*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 943*x**2 + 52*x + 1 + 1 - 48*x. Let f be r(-1). Suppose 0 = -3*j + 3*m + m + f, 5*j - 1540 = m. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5705224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 144a0 - bd?\nAnswer: 143e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4 = d, -g + 9*d = 12*d - 12. Suppose -7*w + 6*w - 2*n + 4 = 0, g = 5*w + 5*n - 15. Solve 3*c = -w*c + 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480852 divided by -160284?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*l - 3387 + 253 = 2542, 2*l - 7 = 3*o + 28 + 40 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-110)\/3 + 2)*-3. Suppose -3*o + 58 + k = 0. Let l = o - 21. Is l a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/11 (b) -2\/5 (c) -4 (d) 0.07 (e) -4.47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -147*b + 226*b - 2 + 73*b to a + w*b and give w.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168\/17 - 62\/17*a - 2\/17*a**2 = 0 for a.\nAnswer: -28, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = n - 2*n. Let g be (0 - -2 - 1)\/((-2)\/22). Let p = g - n. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-41 - -24) + (-2 - -12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q. Let j(f) = -6*f**2 - 2343*f + 1183*f - 2 + 1160*f. Give n(j(g)).\nAnswer: -12*g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6134256 by 16624.\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -3\/4 (b) 0.2 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-22)\/(-44)*(-1)\/(-2). Which is the second biggest value? (a) -0.3 (b) 11\/2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 8, 3 in ascending order.\nAnswer: -4, 1, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2968 is divided by 496.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aawaaaagawwwaa. What is prob of picking 2 a?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.7 - 1.7. Let a = i - 9. What is the second biggest value in 5, a, 3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1148 - 4) + (-18)\/9. Let y = -722 - t. Does 27 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/2)\/(((-6075)\/(-2997))\/75)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6\/((-9)\/((-315)\/14)) and 55?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-32)\/(-10) + 1)\/(3\/(-15)). Let a = -18 - l. Suppose 5*g = -o + 92, -5*o - 94 + a = -4*g. Calculate the remainder when g is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52*p - 17*p**2 - 52*p)*(-2*p - 2*p + 0*p)*(p + 2*p - p).\nAnswer: 136*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z = 3*z - 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaqqannnn. Give prob of picking 1 n and 3 a.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36139?\nAnswer: 71, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/9? (a) 1\/49 (b) -4 (c) 3 (d) 2\/3181\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19518825 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 184245068 divided by 14.\nAnswer: 13160362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1305.9 + -1307. Let u = -277\/9 + 31. Which is the smallest value? (a) u (b) n (c) 4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -7*y**2 + 79*y + 3. Let l(h) = 5*h**2 - 77*h - 2. Let q(g) = 3*l(g) + 2*v(g). Find the second derivative of q(i) wrt i.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43597.89 weeks to seconds.\nAnswer: 26368003872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5920.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12a - -1238d?\nAnswer: 124b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 700138 or 2\/5?\nAnswer: 700138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 210686?\nAnswer: 210686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -20102013220?\nAnswer: -20102013230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 378?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 126204 - -139949. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4*j - 3 = 2*b, -5*j = -3*b - 3. Let n(c) = -35*c + 12. Let d be n(b). Is 47 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/(-8))\/(3843\/(-32940)) + (-2)\/(-28)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-180)\/165*154\/(-196))\/(6\/(-140))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -278*y**4 + 4089*y**3 - 403*y**2 + 150*y wrt y.\nAnswer: -6672*y + 24534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zss when three letters picked without replacement from szs.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12859123 is divided by 265.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 541*u - 501*u = 240. Let o(c) be the second derivative of 0 + 5\/12*c**4 - 1\/2*c**2 + u*c + 5\/6*c**3 + 1\/20*c**5. Determine o(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - -1)*3*3\/(-18)*-6. Solve -6*p = -p + h*s - 37, -s = -2*p + 6 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 8 + -6 + -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(0 - 2*v + 0) + (2 - 4 + 4)*(15*v + 15*v - 2*v).\nAnswer: 60*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*c + 18*c - 10*c)*(-3*c**2 + 5*c**2 + 2*c**2) + 3*c**3 + c**3 - 6*c**3.\nAnswer: 66*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 20 = 5*f. Let t(c) = c**3 - 4*c**2 + 2*c - 1. Let x be t(3). Let l = -1 - x. Sort f, l, 1 in ascending order.\nAnswer: 1, l, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -958, -631, 238, 1913, 4658, 8737, 14414?\n\"Answer: 44*g**3 + 7*g**2 - 2*g - 1007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l. Let k(h) be the first derivative of 419*h**2\/2 + 376. Determine k(v(r)).\nAnswer: 419*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 4210687712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -324 - -323. Suppose -n + 3 = -15. Sort 3, n, i in increasing order.\nAnswer: i, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 81, 65, 35, -15, -91, -199?\n\"Answer: -q**3 - q**2 - 6*q + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 5*n + 14. Let u be a(-6). Let m = -15 - u. Calculate the greatest common divisor of 3 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*w + 181*w - 6342 = 14*w - 61*w for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 844 - -3. Suppose o = 6*h - 431. Is h a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -6454a8?\nAnswer: 6454a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2. Let z(p) be the third derivative of p**5\/30 - p**4\/4 - 61*p**2. Calculate h(z(v)).\nAnswer: 4*v**4 - 24*v**3 + 36*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(9)\/sqrt(3) - (sqrt(3) - sqrt(6)\/sqrt(50)).\nAnswer: 21*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5*k. Let s(x) = x**3 + 8*x**2 + 3*x - 6. Let h be s(-5). Let g = h - 52. Calculate f(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 8:52 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 8 = -22. Suppose -g + 5*n + 4 = -9, 4*g - 27 = -5*n. Calculate the remainder when q is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3*a + 4)*(-1 - 2 + 1)*(-2 - 3 - 4).\nAnswer: 54*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -29, 0.3, -8, 1, 0.4, 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1368, -1360, -1340, -1302, -1240, -1148?\nAnswer: -1020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v - 9. Suppose -2*z - 77 = -2*c + c, -4*z + 399 = 5*c. Calculate the remainder when c is divided by g(25).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.938 to one dp.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1942262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 10624\/27?\nAnswer: 10624\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u = -1159 + 12130. Calculate the highest common divisor of 53 and u.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -3*c + 3*o, o - 87 = -3*c - 11. Suppose -j = -6*j - c. Which is smaller: -2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + b + 12 = 0, -5*b = 2*g - 27 - 1. Solve 6*s - s + 35 = 5*w, -g*w = -s - 13 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -194.071 + -783.9855. Let t = c + 978. Round t to 3 decimal places.\nAnswer: -0.057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b + 4*g + 8, 30*g - 28*g + 9 = -3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28701620 * -0.5.\nAnswer: -14350810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 - 41. Let t = 134 - 180. Let y be 27\/t + 12\/138. Is y at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.3, -0.4, 2\/7.\nAnswer: -1, -0.4, 2\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*m**4 - 2510*m**3 + 39532*m**2 + 89376*m = 0.\nAnswer: -2, 0, 456\/17, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26016 and 48.\nAnswer: 26016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 times 1.3?\nAnswer: -11.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -223121 - -5?\nAnswer: -223113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 141\/(-24) - 10\/80. Let f(d) = -9*d - 58. Let n be f(c). Which is smaller: n or -62\/15?\nAnswer: -62\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7112, -7097, -7060, -6995, -6896?\nAnswer: -6757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 18*v**3 + 4*v**2 + 2*v - 4. Let o be q(-5). Let y = 3136 + o. What is the units digit of 4\/(-22) + y\/22?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -2. Let n = w + -1.5. Let v = -0.0483 + -0.0517. Which is the closest to -1? (a) n (b) v (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 2:44 PM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4937762.\nAnswer: 2, 2468881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -399, -2084, -4939, -8964, -14159, -20524, -28059?\nAnswer: -36764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 342531 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49651497 is divided by 948.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 21 = -t + 2*t, 0 = 2*t - 2*o - 22. Suppose 285 = t*r + 45. Let j(a) = -5*a - 2. Let v be j(-2). What is the greatest common factor of r and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -24*d - 90. Suppose 6*r = -0*r - 120. List the prime factors of w(r).\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*l**2\/3 - 180223*l\/2 + 251043.\nAnswer: -(l + 38622)*(14*l - 39)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*t**3 - 68*t**2 + 1368*t - 448.\nAnswer: -4*(t - 8)*(t + 14)*(3*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -39 and -51 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 - 88 = -2*o. Suppose 0 = -4*t - 4*j + 17 + 3, t = 2*j + 5. Suppose o = t*u - 18. Find the common denominator of -29\/8 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8, -2\/7, -1, 21, -5, -0.02?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 18*p**2 + 19*p + 3. Let x be h(-19). Let g(c) = c**2 - 3*c - 3. Let k be g(5). Put -4, x, k in increasing order.\nAnswer: -4, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/4*5*-1. Let o = 9 - 6. Let n = -3.2 + 0.2. What is the smallest value in o, n, t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*l - 313, -328 = -2*l - 0*z + 2*z. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 20 = -5*h. Suppose -h*y + 64 = -0*y. Let x be (-711)\/(-180) - 2\/(-40). What is the greatest common divisor of y and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21029, -24300, -27571, -30842, -34113, -37384?\nAnswer: -40655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**4 + 105*m**3 + 1638*m**2 - 12960*m.\nAnswer: -3*m*(m - 45)*(m - 6)*(m + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -490983931\/624 + 2360785\/3. Let m = -1286\/13 + g. What is the common denominator of -55\/28 and m?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 424 a factor of 351595640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**3 - 2*f**2 + 4*f. Let a be u(-3). Let g = a + -12. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 962*u + 1. Let x(t) = -4718*t + 1. Determine j(x(z)).\nAnswer: -4538716*z + 963","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -5*c + 3. Let y(x) = -10*x + 5. Let z be -2*(3\/4)\/((-3)\/6). Give z*y(d) - 5*u(d).\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from okegoygxxeoygy. What is prob of sequence xgo?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 10:40 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4*i + 7 = 0. Let l(u) = -u**3 - 6*u**2 + 8*u - 8. Let d be l(-8). Suppose 0*o - d = -o. What is the greatest common divisor of o and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) -2 (b) -0.2 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from mhmmaamammammamom.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -296986 at least -296986?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 4*g**2 + 4*g - 4. Let y(h) = -7*h - 3. Let a(j) = 5*l(j) + 6*y(j). Differentiate a(b) with respect to b.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w - 20019 + 20285 = 0 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-72)\/(-33) + (11 - ((-536)\/(-44) - 1)). Solve -3*k - 23 = -2*j, -f*k - j = j + 2 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 4 - 1) + -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 909*t - 186437. Give j(205).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -y**6\/6 + 45*y**5\/4 - 6*y + 82. Factor n(z).\nAnswer: -5*z**3*(z - 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 165, 243, 319, 393, 465?\nAnswer: 535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = x, 2*f = -3*f - 5*x + 55. Calculate the remainder when 39 is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*f - 1 = 0, -2*d - d + 11 = 5*f. Let n(s) = 15*s - 14. What is the smallest common multiple of n(d) and 36?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 0 - (-9 - -6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fbfffbfb. Give prob of picking 2 b.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(4*v**3 + v**3 - 2*v**3) + (-51 + 51 + 10*v)*(2*v**2 - 2*v**2 + 3*v**2).\nAnswer: 27*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-11)\/(110\/(-60)) - (-16971)\/(-2898) and -43\/35.\nAnswer: 4830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*y = 7*y - 462. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(3\/8)*q))\/((q*q**(10\/3))\/q*q)*(q**(1\/29))**(3\/11) assuming q is positive.\nAnswer: q**(-35975\/7656)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24*(-9)\/162 + 28\/(-18).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 13 = -11. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**3 - 4*o**2 + 4*o**2 + (1 - 5 + 2)*(-3*o**3 + 0*o**3 + 4*o**3) + 2*o**3 - 11*o - 65*o**2 + 10*o + 20*o**2.\nAnswer: 3*o**3 - 45*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5284579, 10569157, 15853735, 21138313?\n\"Answer: 5284578*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0422677 rounded to 3 dps?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -2*u - 3*b + 23, 5*u = -5*b + 25 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 123, 274, 327, 126, -485, -1662, -3561?\nAnswer: -6338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - 2\/((-4)\/(-6)). Let w(u) = -u**2 - 5*u. Let o be w(y). Suppose o = 2*b + 14 - 36. Does 11 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2 + 13*c - 9. Let m be z(-7). Let d(g) = 2*g**2 + g. Let b be d(-3). Let h = b - 44\/3. What is the nearest to m in 1\/4, h, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1044 by 4.\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -86\/113 or -2?\nAnswer: -86\/113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 9. Let t(s) = -2*s + 1. Let i be t(j). Solve 4*u = 1 - i for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of 177*i**7\/7 - i**3\/3 - 23*i + 123. What is the third derivative of m(d) wrt d?\nAnswer: 21240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**2 - 17*o - 75. What is h(13)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/6 and 91\/38852.\nAnswer: 116556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 4*s + 6. Suppose -f + 6 - 3 = 0. Let q = -69 + 71. Suppose 0 = b - f, q*g + 4*b + 3 = 5*g. Calculate t(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**2 + 10*r - 5. Is f(-22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/13 (b) -4 (c) 0.4 (d) -1\/18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -9, 6 = -2*h + 5*z + 1. Let o be 7\/h - (-3)\/5. Solve -2*y = -3*x - 17 + 1, 3*y + 2*x + o = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131305 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 3*j**2 - 408*j + 1609. Give c(4).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29142*-2.\nAnswer: -58284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 b when two letters picked without replacement from ffbbffbbffbff?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/250 and 54\/35.\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/4 - (147\/(-28) - 8). Is 13 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 2*t = t + 9, 2*w = t - 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 5*o**2 - 38*o - 19. Give a(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 PM and 3:30 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 113190?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2114447 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 12 = -11*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 2)\/(2 + 10\/(-4)). Factor 14*h - 2*h**3 - 18 - 10*h**2 - t*h**2 - 8*h**2 - 52*h.\nAnswer: -2*(h + 1)**2*(h + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003865 rounded to 6 decimal places?\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -21*q - 7. Let x(l) = 32*l + 10. Let a(m) = -7*n(m) - 5*x(m). Let s be 2*2\/12*-3. Calculate the remainder when 23 is divided by a(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/215 and -31\/1135.\nAnswer: 48805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 12, -16*h + 11*h + 3*p + 389 = 0. Solve -13*y + h - 141 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*n - 5*q = -31*n - 32*n - 2, -5*q + 8 = -3*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -30*2\/((-10)\/3). Let i be 3 + (-15)\/n + 2\/4. Solve -46\/3*p**2 - i + 12*p**3 - 16*p = 0.\nAnswer: -1\/2, -2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -158262 + 6?\nAnswer: -158255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.014634 rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t**3 - 8*t - 41. Let k(o) = -3*o**3 + 6*o + 41. What is -4*k(w) - 3*y(w)?\nAnswer: 3*w**3 - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2*d**5 + 94*d**4 + 76*d**3 - 3428*d**2 - 6698*d - 3290 = 0.\nAnswer: -5, -1, 7, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1983233 milligrams to micrograms.\nAnswer: 198.3233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1760346.71 to the nearest 100000.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2901 is divided by 865.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 p when two letters picked without replacement from ppbuuuv?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -3*z**2 - 7807770*z - 5080106031075 = 0.\nAnswer: -1301295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79948302?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(4*(sqrt(171)*1 - sqrt(171) - sqrt(171)) + sqrt(171) - sqrt(171) - 3*sqrt(171)*5)\/((4*2*sqrt(576) - sqrt(576)) + sqrt(576)*1*-1))**2.\nAnswer: 6859\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - 6*j - 7. Let l be t(-5). Let w be 6 + -3 - 2 - l. Suppose -2*k = -0*k + z + 5, 0 = 3*k + w*z + 6. Which is bigger: k or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 9:49 PM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c + 6. Let s be j(5). Suppose 0 = -m + 6 - s. Solve m*p = -2 - 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -219320.5 and 2.5.\nAnswer: -548301.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = -566 - 772. Let b = q - -275. Calculate the highest common divisor of 130 and b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 4\/12)*3\/4. Which is the nearest to z? (a) 5 (b) -3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -369 and 7263422.14.\nAnswer: 7263053.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*a**2 - a**3 + 118*a + 123*a + 10*a**3 - 241*a in the form d*a + z*a**3 + l + b*a**2 and give b.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -s**7\/840 + s**5\/60 + 2*s**3 - 10*s. Let x(k) be the second derivative of z(k). Let l be (-99)\/(72\/8) - -9. What is x(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -295*f**3*h**2*r + 27*f**3*h*r + 5*f**3*r**3 - 329*f**2*r**2 + 15885107*f*h**2*r**3 + 3*f*h**2*r**2 wrt r?\nAnswer: 30*f**3 + 95310642*f*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 + 148*d + 1487. Give s(-62).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25470 - -40235. List the prime factors of j.\nAnswer: 5, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -271390*k - 1. Let b(j) = 3*j - 2. Determine g(b(h)).\nAnswer: -814170*h + 542779","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 114809669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 13*c - 22. Calculate the remainder when 29 is divided by z(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.5 and 2.2213?\nAnswer: -3.33195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n - 2*w = -13*n - 5, 25 = 3*n - 2*w. Solve -3*s + n*s + 8 = 2*t, t = -s - 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5 = 28. Let v = -17 + 48. Let l = v - i. What is the lowest common multiple of l and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1293 + 2054. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 5*i - 3*i + 94 - 138 + 92. Give p(-36).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -4*t**2 - 20*t + 2. Let i be m(-5). Solve 5*l - 4 = a, -a - i*l - 2*l - 4 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**5\/3 + 26*j**4\/3 + 3377*j**3\/3 + 20466*j**2 + 69408*j - 91008 = 0.\nAnswer: -24, -6, 1, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.02 or -1457?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7767 - -9303. Let m = -254176021\/28 - -9079248. Let p = m - h. Find the common denominator of p and 93\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a minute in seconds?\nAnswer: 1230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -1\/7*j**3 - 11\/84*j**4 - 4*j + 0 - 30*j**2 + 1\/15*j**5. Suppose p(s) = 0. Calculate s.\nAnswer: -3\/14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -39*l + 186. Solve -5*k = 2*x - 0*x - l, 8 = -x + k for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 6 + 5 = -6*a. Solve 0 = -a*c - 65 + 45 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18645 (base 9) to base 14.\nAnswer: 49cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxyy when four letters picked without replacement from vxbvyvvybvxyx?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 438262, 437775, 437288, 436801?\nAnswer: 436314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -469 - -1836. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1bd (base 14) in base 9?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000484491 to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -340\/7 <= -50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53032599 + 31921801 = -8*x. Let q = -21820700 + x. Round q to the nearest 1000000.\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*d**6 + 4*d**2 + 2*d**6 + d**2 + 6*d**2 wrt d?\nAnswer: 720*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*s + 7*s + 19 = 0, 27 = f - 5*s. Let n(i) = -i**3 + 11*i**2 + 5*i. List the prime factors of n(f).\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -61442 + 4?\nAnswer: -61437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 + -20. Let i be (-1)\/(10\/(-8))*85. Let h = a + i. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -63 + 65. Suppose 7*q - 4*q = -t*c + 26, 4*c - 30 = 5*q. Solve -4*x + 30 - c = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 71 and 30672.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (28\/(-21))\/((-4)\/(-18)) - -8. Suppose -4*y + 240 = p*b, b = -16*y + 12*y + 130. Let u = 253 - 88. Calculate the highest common divisor of b and u.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.11739959 to four decimal places.\nAnswer: -0.1174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -111550 (base 6) to base 13\nAnswer: -4428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 39858\/(-1040)*-244 + (-3)\/10. What is the greatest common divisor of o and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -677, -655, -635, -617?\nAnswer: -601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*h - 5 - 2 + 0 - 3 + 15 to the form q*h + g and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*r = 24*r. Suppose r*m - 3*b = -m - 12, b = 3*m - 4. Solve 0 = m*d - d + 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/5 + 1)\/((-3)\/(-9))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 494.\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 5 - 49 = -10*v, i + 15256 = 4*v + 15238 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21.042 + -0.042. Let i = 479378200.00000056 - 479378221. Let a = i + n. What is a rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 16*v + 2. Let s be a(16). Suppose 4*t - 18 = -2*n + 2*t, 4*n - 26 = -s*t. Solve -2*g = h, -h - 4 = -n*g + 2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) -10 (b) 0 (c) -3 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78168?\nAnswer: 2, 3, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.21 - -0.01. Let s = -191 - -224. Let l = -34 + s. Which is the nearest to l? (a) m (b) -1\/11 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 947 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5*j + 30680 = 0, j - 9439 = -3*n + 13571. What is n rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-68)\/(-238))\/((-1)\/(-2)))\/(-285*30\/(-315))?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 6:05 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-1\/4))**(-2\/49)\/(o*o**(1\/2)*o*o**(-21\/2)))**(-12) assuming o is positive.\nAnswer: o**(-4674\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 21*w + 1 - 22*w + 0. Suppose 12*n - 17*n = -110. Let y be ((-12)\/(-66) - 224\/n)\/2. Let x(m) = -m**2 + 5*m - 5. Calculate y*t(s) - x(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 319406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 22 = -k, -5*k + 4*j + 2 = -90. Find the second derivative of 2*y - 79 + 79 - k*y**3 + 13*y wrt y.\nAnswer: -120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**3 - 2*p + 2*p)*(-80 + 80 - 3*p).\nAnswer: -9*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 o, and 1 q when four letters picked without replacement from {y: 4, k: 4, j: 1, q: 1, m: 2, o: 8}.\nAnswer: 112\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00638 rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9220.864 litres in millilitres?\nAnswer: 9220864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s - 7. Let n be h(5). Let r = 3 - n. Suppose 9 = -r*a + 3*a. Solve k + 3 = -3*b, 5*k - 4 - a = -4*b for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66, 127, 198, 285, 394, 531, 702?\nAnswer: 913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.9 - -3.3. Let g = 51 - 28. Let z = 17 - g. Which is the biggest value? (a) z (b) m (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yym when three letters picked without replacement from mtettymyeccet?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 + -1656240?\nAnswer: -1656231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5))**30 assuming r is positive.\nAnswer: r**(-150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2224.04898 - 2224.2. Round o to two decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 98 and 0.09015.\nAnswer: 98.09015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) 21 (c) -9674\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15070376 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-2) - (-4)\/(-56)*7. Suppose t = 73*j - 80*j + 13783. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60626905169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 3) to base 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**4\/10 - 78*a**3\/5 - 1431*a**2\/2 - 3780*a + 275400 = 0.\nAnswer: -60, -51, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 3\/173, 2, -0.2, 3, -2?\nAnswer: 3\/173","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.31113391 rounded to four dps?\nAnswer: -0.3111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37566748 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -332 - -331. Let o be l - (25\/6 + -4). Is o at least -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 11 = -t, 0*r - 2*r - 3 = 5*t. Let d be 652\/20*1408\/490144. Let u = 1\/1445 + d. Is u bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + (4025\/28)\/23)\/(45\/(-18)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -88*w - 29. Let l(t) = 47*t + 14. Give 5*l(k) + 2*y(k).\nAnswer: 59*k + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 12 - 2. Suppose -41 = -h - 3*b - f, -186 = -5*h + 2*b. What is the common denominator of ((-39)\/(-90))\/(8\/h) and -27\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*n**3*t - 102*n**3 + 2731*n**2*t - 11*n*t - 490*n wrt t.\nAnswer: -3*n**3 + 2731*n**2 - 11*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of 25*y + 245*y**3 + 42*y**4 + 1029\/2*y**2 + 0 + 33\/10*y**5 + 1\/10*y**6. What is h in q(h) = 0?\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*j - 20*j - 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/202 and 103\/18.\nAnswer: 1818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30033 is divided by 116?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 747, 688, 617, 528, 415?\n\"Answer: -x**3 - 52*x + 800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 94.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (24\/(1 - -5))\/((-1)\/(-6)). Let q = -22 + f. Solve -q*n = 6, 2*w + 4*n - 13 = 5*n for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/((-648)\/27)*(-1)\/(-23)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 22*a**5\/9 + 38*a**4\/3 - 112*a**3\/9 - 8*a**2\/3 = 0. Calculate a.\nAnswer: -6, -2\/11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 6 = 2*r. Let i(k) be the first derivative of k**4 + 5*k**3\/3 - k + 14. Let s(w) = 2*w**3 + 3*w**2 - 1. Give r*i(l) - 5*s(l).\nAnswer: 2*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (108\/(-42))\/6 - 11160\/(-70). Solve 153*w = o*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.1 and 19?\nAnswer: 17.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 14) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -531*v - 16832 = -32762 for v.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -114242223 (base 6) to base 14.\nAnswer: -405c47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2057*r**2 - 1177*r**2 - 886*r**2.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 50198467 to the nearest 100000.\nAnswer: 50200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 7780861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppe when three letters picked without replacement from eepeeeeepepe.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 - 22. Suppose z = -r + 6*r - 5. Calculate the lowest common multiple of 2 and 7 - -1*(r + 2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = d + 5*z, 2*d + 6*z - 188 = 2*z. Is 45 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 72\/15 - 2\/(-10). Suppose -2*b + 20 = 5*f - 44, 57 = 3*f - l*b. Let x = 2474 + -2444. What is the smallest common multiple of x and f?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuz when three letters picked without replacement from uuuuuuuuzuzuzuuuzu?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1122011 + 12?\nAnswer: -1121222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*j - 2*a = 628, -4*a = -j + 636. Suppose 5*n + j - 89 = 2*q, 2*n = -2. Suppose 94 = h - 5*o, h + 5*o - q = -h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18226 - 18198. What is the greatest common factor of k and 6524?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/11 + 5176*y\/11 - 5178\/11.\nAnswer: 2*(y - 1)*(y + 2589)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-121)\/(-17) + 4\/(-34) - 4. Let j = 2 + 0. Is (-37 - j)*(-13)\/i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**5 - 25579*j**4 + 218078026*j**3 - 619559626390*j**2 - 1239773589179*j - 619995859183.\nAnswer: (j - 8527)**3*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -246768a (base 11) in base 16?\nAnswer: -416381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 514 - 15?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 10*o**2 + 5*o. Let h(y) = y. Calculate 5*h(f) - i(f).\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 132 and 23496?\nAnswer: 23496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/175*14 - (-21)\/15. Let g = -2.9 - -3. Which is the third smallest value? (a) q (b) g (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1173414 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 11*m**2 + 24*m + 42. Determine s(-5).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 7 = -2*d - 6*m, -3*d - 2*m = 6 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6748 divided by 482?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 25773?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 333*d = 221*d - 448 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/2 - 103833*g\/2.\nAnswer: -3*g*(g + 34611)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of q**4\/12 - 11*q**3\/6 + 14*q**2 - 34*q. What is the remainder when 30 is divided by v(10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 15.0156. Let w = p - -0.009. Round w to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 - 2*x**2 + x**2)*(-3 - 3*x + 3) - 100*x + 100*x + 18*x**3.\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -51 or -48?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 156536 (base 9) in base 11?\nAnswer: 66699","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 n when two letters picked without replacement from gpqeqnmpn?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 12 + i**2 + 1 - 12*i + 0*i**2 + 1. Let g(a) = -2*a - 2. Let s be g(-7). What is the tens digit of z(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -251*v**2 - 261*v**2 - 290*v**2 + 1002*v**2 - 255*v**2.\nAnswer: -55*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -14. Let b be (-6)\/18*(t - 49). Solve -2*i - b = 2*i - 4*m, -2*m = i - 8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*m + 16*m - 300. Suppose -780 = -m*n - 160. Calculate the remainder when n is divided by 28.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in fourty-two fifths of a millennium?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 88941716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: -5 + 3859279.8\nAnswer: 3859274.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1548, 1557, 1570, 1587?\n\"Answer: 2*p**2 + 3*p + 1543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3414)\/(-4)*23\/(207\/6) - -6. What is the highest common factor of 825 and w?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/1 + (-2 - -2). Let k be 0 + 1\/6 - v. Let h(x) = x**2 - 31*x - 32. Let l be h(-1). Which is the nearest to l? (a) 2\/5 (b) k (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/3232788 and 79\/105417.\nAnswer: 9698364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -10\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b - 1. Let n(x) be the second derivative of -3*x**4\/2 + 13*x**3\/6 - 9*x**2 - 10*x. Let s(p) = -n(p) + u(p). Is s(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.5, -32, -6, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17645 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -5 - (1258\/(-153) + 3).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + 3*t - 4. Let n = -8 + 1. Let v = n - -2. List the prime factors of f(v).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8169, -9269, -11103, -13671?\nAnswer: -16973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 5. Let h be (-3 + (-27)\/(-12))*2. Which is the closest to 1\/3? (a) h (b) -5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {u: 7, p: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 8:09 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x - 112*x**2 + x**2 - 21*x**2 - 19*x**2.\nAnswer: -151*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5538857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**2 + 4*q - 5. Let m be t(2). Let y(z) = z - 25. Let b be y(m). Let f = 16 - b. Does 3 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((2*sqrt(90))\/sqrt(10)*1)\/(-6*-3*sqrt(363)).\nAnswer: -2*sqrt(3)\/99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m + 7. Let k(p) = 12*p - 11. Let w(s) = -12*s + 12. Let c(j) = 5*k(j) + 4*w(j). Let q be c(1). What is a(q)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -20449*u**2 + 3289*u - 529\/4 = 0. What is u?\nAnswer: 23\/286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001011 + -10?\nAnswer: -100001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 160 and 720.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 0)\/6*(15 + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 357*d**2 - 1032*d**2 + 336*d**2 + 339*d**2 - 2*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31754.\nAnswer: 2, 15877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 12:10 PM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12822.43s to nanoseconds.\nAnswer: 12822430000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -1*(-4)\/(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*s = 40*s - 24075 + 4575. Solve 62*y - 10*y = s for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 4*i = -672. Is 21 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 * 517.\nAnswer: 25.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 4:51 PM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -74776 * -3371.\nAnswer: 252069896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 20 = -3*l. Factor -h**5 + 28*h**3 + 1 - 4*h**4 - h - 2*h**2 + 5*h**l - 26*h**3.\nAnswer: -(h - 1)**3*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 28 = v + v, 5*y + 30 = 4*v. Is (25\/v)\/(2\/124) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34107 + -34115. Let o(q) = -q**2 - 13*q - 41. Calculate o(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -17026, -17036, -17046?\n\"Answer: -10*w - 17016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 10:19 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-2375))\/(36447\/(-303725)).\nAnswer: -2\/285","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 2*c + 116, 3*i = 1 - 4. Let t be (c\/7)\/((-4)\/28). Suppose -2*h + t - 14 = 0. What are the prime factors of h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*q**5 - 77859*q**4 + 5969525*q**2.\nAnswer: -1020*q**2 - 1868616*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 452 less than 62.7121?\nAnswer: -389.2879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 2*v - 16, z + 5*v + 19 + 9 = 0. Let j be 2*(12\/z - 2). Let p(c) = -1. Let m(r) = -r**2 - 7*r + 12. Let o(s) = -m(s) - 2*p(s). Give o(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 85, 97, 115, 139, 169, 205?\n\"Answer: 3*h**2 + 3*h + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**4\/4 - 100573*l**3\/2 + 502844*l**2 - 804544*l = 0. Calculate l.\nAnswer: 0, 2, 8, 201136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 236072, 236074, 236076, 236078, 236080, 236082?\nAnswer: 236084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/72*154\/1)\/((-7)\/7)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**3 + 3*b**3 + b**3 + (-b**3 + 2*b**3 + 0*b**3)*(-2 + 2 + 1))*(-2 + 2*b + 1 - 3*b) + (2*b**3 + b**3 - 4*b**3)*(103*b + 53*b - 77*b).\nAnswer: -83*b**4 - 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 275*q + 63188 = 65113 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w + 6. Let s be y(6). Suppose x + 0*z - 44 = 4*z, s = -4*z - 8. Let r(v) = -v - 7. What is the remainder when x is divided by r(-27)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 1:47 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -15, 17, -1 in increasing order.\nAnswer: -15, -2, -1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -l**4\/4 - l**3\/3 - 8*l + 2101. Calculate z(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167332264 divided by -20916533?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 6*x. Let f(j) = 8*j + 79. Let p be f(-9). Let z(m) = -3*m**2 + 7*m**2 - p*m**2 - 30*m**2 + 3*m**2. Calculate n(z(k)).\nAnswer: -180*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 551?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 7*v - 204. Let p(x) = -13*x + 374. Let a(d) = -6*p(d) - 11*s(d). Let y(f) = -36*f - 1. Calculate a(y(g)).\nAnswer: -36*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(2 - 7\/2). Let n be 138 + (o + 2)\/(-2). Suppose 4*r - 75 = b, -9*b + 11*b + 65 = 3*r. What is the greatest common divisor of r and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, h: 7, a: 1, m: 2, p: 4, s: 1}. Give prob of picking 1 m and 1 a.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 45 = 5*o + 13, -2*n - 4 = -o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -29\/17 equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does -5797 = -5796?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.19*0.8.\nAnswer: -0.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 3601\/161604?\nAnswer: 3601\/161604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1229b (base 15) to base 10\nAnswer: -57971","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 14 = 7*t - 8*t, -70 = -14*u for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 203133 - -10?\nAnswer: 203203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -173389267906.8 + -3.\nAnswer: -173389267909.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7fd3 (base 16) in base 15?\nAnswer: 9a68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 p when three letters picked without replacement from lhlpplllp?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/(-24)*-6*(-26)\/(-156).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4*t - 1. Let y be m(6). Suppose 0 = -4*r + y + 5. Suppose 6*c = r*c. Solve c = b + 3 - 5 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 29 (c) -0.03 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1782766, 3565529, 5348292?\nAnswer: 7131055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.1 (b) -0.28 (c) -0.4 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 247709257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -64360 + 137077. What is the hundreds digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/20*16\/28\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4*q**2 + 19*q + 18. Let s(k) = 9*k**2 - 39*k - 42. Determine 7*r(m) + 3*s(m).\nAnswer: -m**2 + 16*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.2, -0.98, -710 in increasing order.\nAnswer: -710, -0.98, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**11*p*p))\/(p*p**(1\/10)))**(-1)*(p**(1\/8)\/(p\/(p**(-6)*p)))\/(p**(-5)*p*p**(-7)) assuming p is positive.\nAnswer: p**(769\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 - -41.00193. What is p rounded to 4 decimal places?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 122096 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6702 divided by -236?\nAnswer: 3351\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 129 in -208, 2\/11, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 2\/9 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1042385 and 35?\nAnswer: 7296695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 16 = 19*y - 10 + 7, 0 = -3*y + 3*t + 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.6506065 millilitres?\nAnswer: 0.0006506065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 43.44582ug?\nAnswer: 43445.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 334*h**2 + 2121*h + 2941. Give n(-2).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m**4 + 145*m**2 - 8754*m.\nAnswer: 24*m**2 + 290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29235917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -2.12. Let f = 0.18 + 1.82. Which is the smallest value? (a) s (b) f (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1697631103 to the nearest integer?\nAnswer: 41202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(1700) + (2*sqrt(1700) - sqrt(1700)))**2.\nAnswer: 6803","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-64 + 0 - 3) + -3 + (19 - (9 - -2))\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q + 33. Let v be m(-11). Calculate the greatest common divisor of 22 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - b, 2*b + 10 = u + 3*u. Let p = 17 - 21. Sort 2, p, u, 47 in ascending order.\nAnswer: p, u, 2, 47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 30?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {f: 1, w: 5, v: 1, r: 3}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 405 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(1872) + -3*(sqrt(1872)*1 - sqrt(1872)) + sqrt(1872) - 2*sqrt(1872)*1)*-5 + 3 + 5 + -2)**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 5)*(-108*h + 14 - 86*h + 216*h + 5) to the form k*h + n and give n.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 3. Let f be (1 + 3)\/(-8)*0. What is v(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 5*r - 1385, 5*r - 7*r + 2302 = 5*p. List the prime factors of p.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-21)\/658)\/((-15)\/(-22777)). Let l = p + -9\/235. Find the common denominator of l and -43\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1375 by -125.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 - 1. Let j = 38424111 - 38424110.49999974. Let g = o + j. Round g to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 423 and 987.\nAnswer: 2961","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {x: 9, q: 7, z: 3}?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2. Let h(x) = 4*x - 4. Let b(d) = -h(d) - 4*v(d). What is the tens digit of b(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -2*d - 0*d + 8, 0 = 3*m - 3*d - 6. Let v(r) = r**2 + 2*r. Suppose 3*x = -2*b - 2, -5*b + 3*b - 2 = 4*x. Let q be v(x). Sort q, -1, m, 5.\nAnswer: -1, q, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8476 and 364.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + v - 2. Let c be f(1). Let s = 2 - c. Let q(o) be the third derivative of o**4\/24 - o**3\/2 + 3*o**2. Give q(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**2 + 6*i + 5. Let g be u(-4). Suppose -49 = 3*t - g. Let l = -7 - t. Solve -2*h - 5*v = -21, h = -3*h + l*v - 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1259414 tonnes in kilograms?\nAnswer: 125.9414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 7*a + 110 = -3*v, -v - 39 = 3*a. Calculate the common denominator of -43\/102 and (-73)\/21 + v\/126.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 = -18*s + 6735. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 198.29 and -0.3?\nAnswer: -59.487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 87452, 174915, 262404, 349919?\n\"Answer: 13*j**2 + 87424*j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 29, -19, -2, -294 in ascending order.\nAnswer: -294, -19, -2, -1, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Express 233*y**2 - 30233*y + 30233*y + (-2*y + 4*y - y)*(2 - 1 + 3 - 4 - 13*y) as x*y**2 + t + p*y and give x.\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -a*y - 108*a + 42*y + 4 wrt a.\nAnswer: -y - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/10)\/(333\/370)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18520 is divided by 44?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of m**5\/120 + m**4\/12 + m**3\/6 + 4*m. Let p(h) be the second derivative of r(h). Give p(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -1445*p**4 + 1151920*p**3 - 2502475*p**2 + 1749500*p - 397500 = 0.\nAnswer: 10\/17, 1, 795","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -194.5?\nAnswer: -58.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -11204101 (base 5) in base 13?\nAnswer: -369aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s + 373 = 313. Let t be 2\/(-3) + 8\/3. Put s, -11, t in decreasing order.\nAnswer: s, t, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express z - 2*z - 109 + 0*z + 3*z + 126 as t + b*z and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 140975239 and 2269.\nAnswer: 2269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 78?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-32)\/7 + (-69)\/161 - -45?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 a when two letters picked without replacement from jakvvalm?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 33, 140, 319, 570, 893?\n\"Answer: 36*g**2 - g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -51 divided by -17\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((81\/30)\/1)\/(-2*33\/110)\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 454\/12 + (-13)\/(-78)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3189912 and 23604.\nAnswer: 22329384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51583572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5702*h*v**3 + 8*h*v**2 - 3600*h - 3*v**3 + 2*v**2 + 291*v wrt v?\nAnswer: 34212*h*v + 16*h - 18*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-2\/9))\/z*z)**(-47)\/((z*z**(6\/11))\/z**(-6\/11)) assuming z is positive.\nAnswer: z**(-3826\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16437\/(4\/109*2\/8). Suppose 20*p - o - 1294367 = 0. Round p to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = p - 188. What are the prime factors of p?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/3*(-9)\/1. Let d = -115\/87 - -48\/29. Factor 0*k + 0 + d*k**f + 2\/3*k**2.\nAnswer: k**2*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46*b + 752 - 752)*(1 - 3 + 1)*(-2 + 2 + 2*b).\nAnswer: -92*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10799190 and 116748?\nAnswer: 21598380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 7:18 PM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -180 - -180. Suppose d = -16*g + 5338 + 1254. List the prime factors of g.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.749 - -38.101. Let k = 41.91 + -0.91. Let t = o - k. What is t rounded to 1 dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a + -5d41c7?\nAnswer: -5d41e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 182 in descending order.\nAnswer: 182, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -19*q + 103. Determine j(-5).\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**2\/5 - 1046122*n\/5 - 273592809721\/5 = 0.\nAnswer: -523061","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.391 or 0.111?\nAnswer: 0.391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p + 2 - 2)*((-4*p + 0 + 0)*(4 - 2 - 4) - 4 + p + 4)*(12 - 3*p**2 - 12) to u + r*p**2 + f*p**3 + k*p + v*p**4 and give v.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5\/8 of a milligram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 3846 = -49*w + 4*s - 4174, -s + 9 = -2*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8926.455 and 4?\nAnswer: 8930.455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 18 - 12 = -5*p - 6*l, 25336*p + 4*l = 25331*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 10:56 AM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 217.7065 centuries to decades.\nAnswer: 2177.065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwwwww. Give prob of sequence wwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 - -61. Let d = f - 16. Let r = d + -14. Which is the nearest to -1? (a) -3 (b) -0.3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 21 = 31*z - 30*z, z + 15 = -5*o + 18*o - 10*o for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 234 - 202?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-1 - (-132)\/134) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 0)*(-4)\/6. Let j = 343.7 - 343.66. What is the nearest to z in j, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6)*k\/k**(2\/9)*k)**(11\/5) assuming k is positive.\nAnswer: k**(-418\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -11*18\/(-297)*(-93)\/(-1). Suppose 0 = -9*t - f + 80. Find c such that 25\/8*c**5 - t*c**3 - 5\/8*c**4 - 1\/2*c**2 + 0 + 0*c = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 14*j - 6. Let o be z(-14). Let f be (-6)\/4 + 51\/o. Let n = 35 + f. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44 + 253. Suppose -2*j - 3*y + 78 = 0, -4*y + k = j + 4*j. Let x = 6115 - 6070. Is x > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -6 - 8. Let o(s) be the first derivative of g*s + 3 + 2*s**2 + 3 - 4 + 5. What is the first derivative of o(i) wrt i?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8757\/84 - (2 - 7\/4). Which is the closest to f? (a) 0.2 (b) 2\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - -20. Let a = i - 6. Let b = a + -18.999987. Round b to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hnugmqhuuuggnhu. What is prob of picking 2 u and 1 m?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 6. Let q(g) = 4*g + 8. Let s be q(-4). Let l = s - v. Solve l*r - 4*r - 4 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -c**5\/3 - 50057*c**4\/3 - 626000074*c**3\/3 + 10658326030*c**2\/3 + 23194452059*c\/3 + 11910176011\/3 = 0.\nAnswer: -25037, -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 624\/260*345\/1012?\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 9:16 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 + -25. Let u be 2*(-1)\/(-4)*l. Let d(i) = -i**3 + 7*i**2 - 5*i - 6. Is d(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/8)\/(n*n\/(n*n**(-20))))\/(n**(-11)*n**(-30\/13)) assuming n is positive.\nAnswer: n**(-787\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, 5, 3, -45277 in increasing order.\nAnswer: -45277, 0.08, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 2*a**2 + 3*a + 3. Let p be d(3). Let v = p - -1. What is the remainder when 10 is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -359*t - 363*t + 310*t - 315*t + 14*t**2.\nAnswer: 14*t**2 - 727*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*z + 39 = -59*z. Let m(a) = 35*a**3 + 42*a**2 + 42*a. Let b be (28\/(-5))\/(20\/150). Let q(h) = -h**3 - h**2 - h. What is b*q(x) + z*m(x)?\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) - sqrt(252)*-4)\/(sqrt(9) + sqrt(144)*1).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 + 10*z + 232. Let q be b(-11). Let x = -6 + 10. What is the least common multiple of -3*q\/(-15) - (-2520)\/525 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 6373\/17741?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 107, 0, 5, -4, 242, 49.\nAnswer: -4, 0, 5, 49, 107, 242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5512542 divided by -3.\nAnswer: -1837514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i**2 + 2*i - 5*i**2 - 3 - 2*i**3 + 3*i**3. Let w be (1 + 5 - 3) + 2. Suppose -q - 20 = -w*y - 3*q, -3*q = -15. Give m(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/7, -47, 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 11 + 14 + 2*q + 0.\nAnswer: 2*q + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8110248703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 442 = -448 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 3*i - 5. Let o be ((14\/(-3))\/(-2))\/((-7)\/21). Let v be -2 + (o - -3 - -2). Give n(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + -2 + 7 + -1. Suppose m*s - 445 = -3*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(0 + (sqrt(847) + 3)*4 + 0)*-4)**2.\nAnswer: 422400*sqrt(7) + 5478400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f - 1. Let c be j(-1). Let v(d) = d**3 - d**2. Let p be v(0). Let u(g) = 4 + g**2 + 6*g + 1 + p. Give u(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (244\/(-108)*3 - 0)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 2, -4*s + 7*f - 10 = 2*f. Let w(r) = r**3 + 19. Let z be w(s). Solve 5 = -5*q + 3*g + 1, 5*g - z = -4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 168 and 14952.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) -0.1 (b) 4784 (c) 0.3 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 436881841 divided by 3?\nAnswer: 436881841\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*l + 1339 - 41 = 360*l - 2461 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 41 = -9. Let y be (48\/s)\/(3\/40). Let o = y + -28. Calculate the greatest common factor of 9 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*y**2 - 5663 + 134*y + 17034 - 5686 - 5685 - 134*y.\nAnswer: -114*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d*d**(-1\/2)*d)\/d**17 assuming d is positive.\nAnswer: d**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -180*l**4 + 323735*l**3 - 1785055*l**2 + 1828540*l + 573760 = 0.\nAnswer: -1\/4, 16\/9, 4, 1793","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14450, 14458, 14460, 14450, 14422, 14370, 14288, 14170?\nAnswer: 14010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 36*d**2 - 83*d - 972. List the prime factors of i(33).\nAnswer: 3, 11831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ye when two letters picked without replacement from dpypeeeydwppdepdyew.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1699369, 1699370, 1699381, 1699408, 1699457, 1699534?\n\"Answer: m**3 - m**2 - 3*m + 1699372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -243*a**2 - a + 0*a + 163*a**2 + 0*a + 121*a**2.\nAnswer: 41*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 1 - -7 - (-1 + -5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2992181668 to the power of 1\/3, to the nearest integer?\nAnswer: 1441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 12*i + 52. What are the prime factors of h(-16)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*y - 66*y - 420 = 0 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**2 + 7*h - 10. Let u(j) = -2. Let t(r) = -b(r) + 3*u(r). Let x(q) = 6*q**2 - 20*q + 11. What is 17*t(k) - 6*x(k)?\nAnswer: -2*k**2 + k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 57070426043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7 - (4 - (2 - 0)). Suppose 108 = -u + a*u. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 7*k**3 - 6*k**2 + 5*k + 13. Let a(j) = j**3 - j**2 + j - 1. What is 5*a(s) - b(s)?\nAnswer: -2*s**3 + s**2 - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -13*k**4 + 11*k + 2. Let j(u) = 26*u**4 - 23*u - 5. Let l(s) = 2*j(s) + 5*q(s). What is the second derivative of l(y) wrt y?\nAnswer: -156*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 10*b + 33 = 0. Let o(w) = w**2 + w + 2. Let c be o(4). Let s = c - b. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/(-4))\/((-6)\/(-18)). What is the third derivative of 17*q**5 - 7*q**3 + 7*q**3 + f*q - 40*q**2 - 7*q + 48*q**5 wrt q?\nAnswer: 3900*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence th when two letters picked without replacement from {h: 1, o: 1, t: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence br when two letters picked without replacement from bbrrbbbrbrbrr.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*t**3 - 29*t**3 + 18*t**2 - 18*t**2.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.203816229 minus 2.35?\nAnswer: -2.146183771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 2. Let k = 2 + l. Let w = -0.01 - -0.01. Sort w, -2\/11, k in ascending order.\nAnswer: k, -2\/11, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*x + 14 - 3 + 2*x + 9*x.\nAnswer: -2*x + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 3:28 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*k**3 - 4*k**2 - 16*k**3 + 71*k**3 in the form g*k**2 + c*k + o*k**3 + t and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence inii when four letters picked without replacement from {t: 3, i: 4, n: 13}.\nAnswer: 13\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -305 - 290?\nAnswer: -595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-7*7\/(-49))\/(((-99)\/(-11))\/(-288))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*j - 4*k - 18, -90*j - 4*k - 46 = -95*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 707 - 208. Let s = 343 + h. List the prime factors of s.\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 321747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 381, 772, 1173, 1584, 2005?\nAnswer: 2436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/105)\/(3\/15). Let l = -4.97 + -0.03. Which is the third smallest value? (a) 0.2 (b) l (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8, 46, 118, 230, 388, 598?\n\"Answer: y**3 + 11*y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -375051084 by -3233199.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 13*u - 6. Let p(k) = -3*k + 1. Let c(s) = s - 5. Let x be c(6). Let a(w) = x*v(w) + 4*p(w). Determine a(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a64a73 (base 14) in base 8?\nAnswer: 25344015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5 = -2*p, 0*p + 4*p + 5 = s. Let q be (0 - s)\/(14\/364). Let m(o) = -4*o**3 + 13*o. Let k(g) = -g + 3*g - 5*g + g**3. What is q*k(d) - 6*m(d)?\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -366 + 138. Let x = a - -473\/2. Find the common denominator of (-423)\/33 - (-148 - -134) and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-5*(sqrt(95) + sqrt(95)*-1)*-3)\/(sqrt(45)*1 + sqrt(80)*5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1202.71 and 0.1.\nAnswer: 1202.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 196 - 57. Let r = d + -139. Which is bigger: 147 or r?\nAnswer: 147","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(-3 + 3 + j)*(0*j**4 + j**4 + 0*j**4).\nAnswer: 2*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*6\/(-60)*15\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does -3\/667 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**5\/5 + 18*p**4\/5 + 42*p**3\/5 - 2*p**2\/5 - 12*p = 0. What is p?\nAnswer: -5, -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**2. Let j(a) = -57383*a. Give j(m(k)).\nAnswer: -114766*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4980 divided by -6.\nAnswer: 830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*c + i, 0*c + i = 5*c - 17. Suppose f - c = 0, -r + f = -0*f + 7. Let h(z) be the second derivative of z**3\/6 + 3*z**2 - 4*z. What is h(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + (7 + (-48 - -14) - -25)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**3 - 4 + 7 - 2*m**3 + (5*m - 6 + 6)*(0*m**2 - 3*m**2 + 7*m**2).\nAnswer: 18*m**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffyyfffxfffyffxf. What is prob of sequence fx?\nAnswer: 13\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 91562117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, g: 6, f: 9}. Give prob of picking 2 y and 1 g.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -12*w + 26. Solve 7 = w*p + f, p + 5*f - 7 = f for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 31*z + 0 + 59*z)*(-1 + 2 - 4) in the form s*z + a and give s.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 108631926 divided by -75282\nAnswer: -1443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3\/70 + 11\/70. Sort -4\/3, -4, p in decreasing order.\nAnswer: p, -4\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuru when four letters picked without replacement from ruuruu?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6493 is divided by 89?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 225\/22 and 9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49170 is divided by 12286?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -738396452*g + 738396452*g + 3*g**2.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7249 - 5045. Suppose -p = 2*y - 6*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 3*y - 9, 5*y - y = -4*a + 12. Let w(x) = 4*x + 1325. What is the tens digit of w(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -8. Suppose 0*k - 30 = q*d - 4*k, -2*k = -10. Let i(c) = 4*c**3 + 9*c**2. Let h(o) = -o**3 - 2*o**2. Calculate d*i(a) - 9*h(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-7) + (-90)\/(-21). Suppose -5*q = -3*q - v. Is 3 <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-280)\/112 - 69\/(-22) and 265\/540*(-9)\/3.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1078 by 2.\nAnswer: -539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3*l + 146 = 0, -14 = -p + 4*l + 13. Let v = -25 + p. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9987, -10007, -10047, -10113, -10211, -10347, -10527, -10757?\n\"Answer: -p**3 - 4*p**2 - p - 9981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*u + 44 + 52. Suppose 0 = -5*v - 39*w + 40*w + 75, -4*w + 68 = 3*v. Calculate the smallest common multiple of v and u.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -12*g**5\/5 - 17*g**3\/3 + 6. What is the third derivative of j(u) wrt u?\nAnswer: -288*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -545\/3 at least -181?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-30*l - 6 + 35*l + 1)*(-26*l - 247*l**3 + 26*l) to the form r*l**4 + g*l**2 + u + c*l**3 + i*l and give c.\nAnswer: 1235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 807.\nAnswer: 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/10)\/((-276)\/(-92) + (-33)\/10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c - -9d?\nAnswer: aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + 4 + -22 + 4 + -60.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -2*q - 11, 0 = u - 16*q + 21*q + 14 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/21*(-234)\/(-1599).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 2)*((1 + 4 - 3)*(b + b + 2*b) + 229 - 6*b - 229) as j + v*b and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 1. Let c(r) = -2*r**2 - 5*r + 34. Let k(p) = c(p) - 4*g(p). Differentiate k(h) with respect to h.\nAnswer: 4*h - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 316 + -303. Let z = s + 123. Calculate the highest common factor of 102 and z.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 9*u - 4. Let j be r(9). Let g be 2\/j - 21\/(-6). Suppose -2*m + g*m = 50. 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: Simplify ((w\/(w*w**(-4\/7)))\/(w**(-1\/10)*w))**(1\/4)*(w**(-1\/4)\/w*w)**(-2\/35)\/((w**(-4)\/w)\/w*w*w**(-3)) assuming w is positive.\nAnswer: w**(2221\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 q when two letters picked without replacement from hbbbbbqhbqqbbqhbhbhh?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 69049681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 - 0.3. Let p = 4 - 4. Let o = -1 + p. What is the closest to -0.2 in o, -2\/13, u?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 13) to base 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 0 + 1 - j + 14. Let x be v(11). Solve -5*d + 24 = x*a, -3*a + 6 = 3*d - 9 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-110)\/(-132) + 5\/(-6). Let -1\/3*t**2 + i + 1\/3*t = 0. What is t?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-104)\/((-62)\/31))\/(24\/4)\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**5\/2 - 122*b**4 - 2765*b**3\/2 - 5076*b**2 - 6120*b = 0.\nAnswer: -4, -3, 0, 255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 12:14 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -4*q + 3*q + 2*q. Let j(a) be the third derivative of -3*a**2 + 0*a + 0 + 1\/24*a**4 + 0*a**3. Give n(j(u)).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8977.\nAnswer: 47, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 570 a factor of 41724000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-1)*11\/(-33)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f + 1. Suppose -4 = -3*p - 1. Let l(j) = -3*j + 2. Suppose -3*w + 3 + 3 = 0. Let d = w - 6. Determine d*r(c) + p*l(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q + 3 - 3 + (6 - 4 + 0)*(-4*q + 2*q + q) - 242 - 240 + 478 - 9*q + 3*q + 0*q - 4*q as r + m*q and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-3) + 1 + 4. Let q(d) = 7*d - 3. Let o(j) = -13*j + 5. Let t(b) = a*o(b) + 5*q(b). Let i(v) = -2*v. Determine t(i(m)).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)*5*-1 - sqrt(288))**2*-1.\nAnswer: -10368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/1026 and -55\/1539?\nAnswer: 3078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 3846.\nAnswer: -5\/3846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.7338 (b) 5\/3 (c) -46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(3) + sqrt(21)\/sqrt(7) + -3)**2 - (sqrt(75) - (1 + sqrt(75)))).\nAnswer: -132 + 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64\/7 + 16*b + 2\/7*b**4 + 72\/7*b**2 + 20\/7*b**3 = 0 for b.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -886 + 0*z**2 + 116 - 2*z**2 - 3*z**2 + 38 in the form q*z + l + x*z**2 and give l.\nAnswer: -732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16.88 - 0.12. Let c = v + 21. Put 11, -4, c in decreasing order.\nAnswer: 11, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -c**3 - 9*c**2 + 12*c + 20 = 0.\nAnswer: -10, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or 12?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 39518 or 39516?\nAnswer: 39518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zxx when three letters picked without replacement from {x: 7, z: 7}.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 9*a - 10. Let i(l) = -5*l. Let p(y) = 4*y - 1. Give a*i(d) + 3*p(d).\nAnswer: 2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*c - 16 + 53 = 0, u + 5*c - 55 = 0. Suppose -4*j - h + 245 = 0, -11 = j - h - 66. What is the lowest common multiple of u and j?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + (-6)\/(-2) - (-6)\/2. What is the third derivative of 5 - 3*m**2 - l*m**3 - 9 + 4 wrt m?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.06, 3, -12?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**5 + 2*f**5 - 4*f**5)*(2904 - 10686 - 15125).\nAnswer: -22907*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 27002*s. Let x(v) = -24772*v**2. Determine r(x(t)).\nAnswer: -668893544*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*w - 4*w - 8*w - 13*w.\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31929809*g**4*h - g**2 - 8253926*g*h + 1 wrt g.\nAnswer: 766315416*g*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/3)\/((-23)\/414). Calculate the greatest common factor of q and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 25203, 201260, 679119, 1609680, 3143843?\n\"Answer: 25150*z**3 + z**2 + 4*z + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3117604, 3117618, 3117632, 3117646, 3117660?\nAnswer: 3117674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-1580)\/425 - (-6)\/10) + 4\/34\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1219*a**2 + 936*a - 2629*a**4 - 937*a + 3898 - 3898 wrt a.\nAnswer: -63096*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*c - 16*c = 12. Suppose -c*s - 19 = -3*x, 3*x - 4*s + 0*s = 23. Put -5, 9, x, 3 in ascending order.\nAnswer: -5, 3, x, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31 + 53. Let t = 21.94 - b. Which is greater: t or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ibb when three letters picked without replacement from bibibibiibbi?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -817127349 + -0.4\nAnswer: -817127349.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 8, 4*a - 2*x = -724 + 3276. Is 46 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7482685 and 0.1?\nAnswer: 748268.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4\/5)*d*d*d**(-4\/9)*d)\/(d**(-1\/3))**(6\/17) assuming d is positive.\nAnswer: d**(1433\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 14*n**3 + 495*n**2 + 660*n + 123. What is j(-34)?\nAnswer: -353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 2*l - 0*l - 132, -c + 30 = -l. Is 16 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1115114 (base 10) to base 12.\nAnswer: -4593a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-3 + (sqrt(68) - (sqrt(68) + (sqrt(68)*6 - sqrt(68)))**2) - ((sqrt(68) + 5)**2 + 5)).\nAnswer: -2548 - 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2559 - -2623. Solve -r + 8 = -28*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -s**7\/1260 + s**5\/180 - s**3 + 5. Let l(h) be the third derivative of f(h). Suppose l(g) = 0. What is g?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -130*m + 8. Is 10 a factor of f(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -n + b + 18, -3*b = 0. Let z(j) = -3*j + 13. What is the remainder when n is divided by z(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 457, 898, 1339, 1780, 2221, 2662?\n\"Answer: 441*h + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, t: 5, u: 2}. Give prob of picking 2 t.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**4 + 35628920*x**3 - 142515648*x**2 = 0 for x.\nAnswer: 0, 4, 17814456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1611)\/(-3))\/((-2)\/(-6)). Calculate the remainder when (h\/6)\/(5 + (-36)\/8) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 5*h**2 + 2*h + 1. Let v be m(-5). Let w be 42\/v*18\/(-7). What is the highest common factor of w and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.06 * -8.133\nAnswer: 8.62098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 4*m = 4*t + 18, 30 = -5*t - 4*m. Let x be (-6)\/t + (-11 + 6)\/5. Solve 11 = -3*d + 2*z, -21 = x*d + 3*d - 4*z for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 - -2 - (-4 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**3\/5 - 1152*n**2\/5 - 14686*n - 72276\/5 = 0. Calculate n.\nAnswer: -57, -1, 634","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -16. Let p(f) = 9*f**2 + 21*f - 16*f + 7 + 0*f**3 - 11*f - f**3. Let j be p(v). Solve -3*g = 3*s - g - 21, -4*s - g + j = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28*a*k*l + a*k + 7*a*l + 69739*a - 172*k*l + k + 4 with respect to l.\nAnswer: 28*a*k + 7*a - 172*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.141 (b) 1 (c) -0.3 (d) 0.1 (e) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -12. Solve k + 3 = -4*q + x*q, k + 3*q = -9 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 226702 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 6. Let i(c) = -c - 4. Let a be i(-5). Let l be -1800*(15503\/b - a). Round l to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -538, -2791, -6556, -11839, -18646, -26983, -36856, -48271?\nAnswer: -61234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 4*n + 6*n + 33, -137 = -5*m + 3*n. Solve -t + 5 = 5*f, -3*t = -5*f - 0*f + m for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -2 + (-243)\/(-27)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*t = -201. Is t a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 9:35 PM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 14 = -2*z, 0*z + 2*z = 3*l - 12. Solve -u = -2*g + 3, -4 = -l*g + 4 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -16*w - 91. Let k be r(-6). Solve -7*c = -3*c + 2*q - 12, -k*c = -5*q for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 783*p**5 - p**3*x + 10*p + 2*x - 320 wrt p?\nAnswer: 15660*p**3 - 6*p*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -709, -2922, -6593, -11716, -18285?\nAnswer: -26294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ecee when four letters picked without replacement from {c: 4, e: 7}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1\/8)\/((-70)\/(-74) - 1) and 1 - (-2 - (-57)\/4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175)*3*1 + sqrt(175) + sqrt(175))\/sqrt(7))\/(-1*sqrt(500)*3).\nAnswer: -sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1648 divided by -4\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 15 = 3*l, 5*l - 23 = -4*u + 2. Suppose 0 = f - 3, 10 + 23 = 2*h + l*f. What is the units digit of (18\/(h\/(-3)))\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1313675 is divided by 1056?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*i**2 + 5*i**3 - i**2 + 19*i**2 + 2*i**3 to d*i**2 + v*i + f + t*i**3 and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o. Let r(h) = -87791*h. What is r(b(i))?\nAnswer: 263373*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/53507179 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - -22. Let o = -11 + 24. Suppose -o*q + 211 = 29. What is the highest common divisor of q and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -314*i + 11. Let c(g) = 3*g. Let f(u) = 4*c(u) + o(u). List the prime factors of f(-1).\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 478*i + 11774. Calculate u(24).\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/15, 3, -2.67, 1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -111483 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 216 + -435\/2. What is the nearest to 0 in -0.5, -0.3, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-8)*-14*(-204)\/(-51)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -88 (b) 2\/5 (c) 0.5 (d) 2\/9 (e) -0.7 (f) 0.1 (g) 5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, h: 1, k: 1, y: 5, a: 5, v: 2}. What is prob of picking 2 a?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3630 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 7*q - 7. Let x(v) = -v**3 + 6*v + 6. Suppose -3 = g + 4*i, -5*i = -4*g + 11 - 44. Suppose -175*p + 227*p + 312 = 0. What is g*x(k) + p*z(k)?\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + 0. Does 3 divide (-94)\/(-18) - 4\/o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 2) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4*r - 1 = 11, -5*c + r + 15 = 0. Solve 2*f + c = 3*b - 2, 3*f + 7 = 4*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31688, 31692, 31698, 31706, 31716?\nAnswer: 31728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 18190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -311092368?\nAnswer: 93327710.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14229 - 5770. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 61.58 and -0.7.\nAnswer: 60.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 2140?\nAnswer: 2132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of t**5 - t**2 - 19. Find the second derivative of l(f) wrt f.\nAnswer: 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 4*q**2 - 4*q - 6. Let o be (1\/(-2))\/((-2)\/32). Suppose 0 = -3*n - 5*t + 57 + o, -4*n = -5*t - 110. Suppose -6*g + g + n = 0. Calculate m(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2929693*s*x - 137*x - 7901 wrt s?\nAnswer: 2929693*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -18320491825 and -9.\nAnswer: -18320491834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (360\/900)\/(1\/(5\/1))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 53\/5 + -7 - 6\/10. Let n(j) be the first derivative of 14\/5*j**5 + 8*j + 50\/3*j**b + 1\/3*j**6 + 16*j**2 + 19\/2*j**4 - 2. Factor n(x).\nAnswer: 2*(x + 1)**3*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 88785 (b) -0.4 (c) -1\/12 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*o + 58 = 3*b, -3*o + 9 = 0. Let i be ((-860)\/(-387))\/(2\/9). Suppose -b*x = -17*x + i. Calculate the remainder when 37 is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.219258 months to centuries.\nAnswer: 0.015182715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 4*w - 328, -4*u + 0*w = 3*w - 262. Does 9 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - a - 6 = 0. Let b be 14 + (12390\/(-1121) - (-3)\/57). Solve 5*z - 2*j - 4 = 0, -z + 0*j = -b*j - a for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(2 + 0 + 2)*(-2 + 2*a + 2).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8618630 is divided by 462.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 41334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**2 - 1702 + 11*m - 1684 + 3403 to p*m + h + a*m**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -48? (a) 0.2 (b) -0.1 (c) 1.2885\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d - 4. What is f(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9439957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 611 and 377.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2*y = -10*u + 235, -u = -2*y - 47. Calculate the remainder when u is divided by -2 - 2\/(2\/(-9)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1426710 divided by 1\nAnswer: 1426710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + sqrt(70)*-1)*5)\/(sqrt(360)*-2)*1 - ((4*sqrt(567))\/sqrt(9))\/(-4*sqrt(144)).\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000023741 to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*u - 4. Let w = -52\/133 - -2\/19. Which is the second biggest value? (a) w (b) u (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1920, 3925, 5930?\n\"Answer: 2005*l - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 218*t - 124*t - 144*t. Let v(f) = f**2 - 7. Give i(v(p)).\nAnswer: -50*p**2 + 350","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 13132220 (base 4) to base 16\nAnswer: 77a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -0.3 (c) -2\/13 (d) 0.245\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -487 in ascending order.\nAnswer: -487, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q**6*q)))\/q*q\/((q*q**(1\/8)\/q*q)\/q)*q*q)\/(q\/q**0)**(-20) assuming q is positive.\nAnswer: q**(231\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 5*q**2 + 3*q - 2. Suppose 6*f = 2*f - 16. Let d be w(f). Solve v = d*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**3 - 3*t**2 - 16*t + 9. What is c(5)?\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31798 or -9\/2?\nAnswer: -31798","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 60 - 5?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -77840.484 to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -25 (b) 1 (c) 1\/4 (d) -2 (e) 21392\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-50)\/15*(-84)\/10. Find the third derivative of p*a**2 - 46*a**2 - 3 - 3*a**3 + 3 wrt a.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1059*q**5 + 586*q**5 - 2942*q + 875*q wrt q.\nAnswer: -9460*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1980 + 14287. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 14*j - 12*j. Let p = j + -4. Is p a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**5)**(25\/2)\/((h\/(h\/(h*h**(4\/9)*h)))\/((h\/(h\/(h*h**(11\/4))))\/h)) assuming h is positive.\nAnswer: h**(2261\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(4\/9))**(-3\/8)\/(y**17*y**(-10)) assuming y is positive.\nAnswer: y**(-181\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 - 5 = 4*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -241134 (base 5) to base 12\nAnswer: -51b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -188 - -379. Suppose -2 - 10 = -3*p, -l = -5*u - 4*p. What is the remainder when u is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - j**3 + (-3*j + 3*j + 2*j**2)*(-j + 4*j - 4*j) + 0*j - 2*j**3 + 0*j - 4*j**3 + j**3 + j**3.\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 811723 is divided by 1461?\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 328858017 plus 31?\nAnswer: 328858048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 5*b**2 - 5*b + 5. Let a(x) = 2*x**2 + 2*x - 2. Calculate -5*a(q) - 2*s(q).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**3 + 12*z**2 + 33*z - 25. Let n be j(49). Suppose -28*u + 770066 = n. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 1\/8*m**3 + 0 + 0*m + 5\/8*m**2 = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 14017\/5 (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80, 113, 148, 185?\nAnswer: 224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 30*s + 110. Determine c(25).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 248981263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/3 - 898925*l\/3 + 1797854\/3.\nAnswer: -(l - 2)*(l + 898927)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2918 - 2917.99993715. What is x rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5 - -0.499995. What is h rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1999 = -98*b + 887 + 1014 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 2 r, and 1 g when four letters picked without replacement from gmyrmkgrkyrrgh.\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 1801509?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**3 + 390*q**2 + 391*q - 34. What is v(-194)?\nAnswer: -616","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 3*x + 0*x)*(-3 - 2 + 3) + (3 + 1 - 1)*(4*x - 2*x - x - x + x - x + (1 - 1 + 2)*(0*x - 3*x + 5*x) + 2*x - x - 2*x + 2*x + 2*x - 5*x).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 117177340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -1 + 1 - m. Let h(j) = 7*j. Let v(c) = 1540*c - 6. Let r be v(0). What is r*h(y) - 39*n(y)?\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -79*p + 226. Let i(v) = 120*v - 340. Let g(k) = -5*i(k) - 8*w(k). Let l be g(4). Solve -l - 10 = 6*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5966.201 - 5963. Let w = -0.201 + g. Let f = -0.7 - -0.6. What is the nearest to -2\/5 in w, f, -3.9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41029315 at least 41029313?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/3 (b) 2\/5 (c) -4 (d) -0.2 (e) 10510 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of z**3\/3 - z**2\/2 + 3. What is the lowest common multiple of x(4) and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-20)\/(-14))\/(3\/((-222)\/24 - -4)). Let a = 428\/247 + -30\/19. Sort -0.2, 4, d, a in descending order.\nAnswer: 4, a, -0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/((q**(-20)*q)\/q*q))\/((q*q\/q**(-5))\/q) assuming q is positive.\nAnswer: q**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 8*g**2 + g - 9. Let m be u(8). Let f(d) = 9*d**3 + d**2 + d + 1. Let n be f(m). Let h = -2 - n. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 192 and 320?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**2 + v + 2. Let r(o) = -50*o**2 + 133*o + 9. Calculate 5*i(f) - r(f).\nAnswer: 60*f**2 - 128*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x + 49 - 19 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16449200 rounded to the nearest 100000?\nAnswer: 16400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 - -35. Let m be 5 + 2\/(d\/85). Suppose -28*z = -m*z - 11658. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 751389985?\nAnswer: 5, 41, 3665317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -467759 or -467919?\nAnswer: -467919","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 0*h**5 - h**5 + 7*h**5)*(-2 - 2 + 7).\nAnswer: 18*h**5 + 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s**3 + 4*s**3 + 3*s**3 + (1 + s - 1)*(s**2 + 0*s**2 + s**2) + (s - s + s**2)*(28*s + 17 - 17) as v*s**2 + t + w*s**3 + k*s and give w.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 612013 at least 611934?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5326\/4644519 - 6\/26785. Let o = v - -221029\/60690. Calculate the common denominator of o and 11\/34.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-130)\/(-144) - 38\/(-171)) + 3 + -3?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4033.\nAnswer: 37, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/16471 and -1\/142809.\nAnswer: 12995619","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 580 - 292. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (-1 + 1 + -1 - (-66)\/(-42)). What is the second biggest value in j, 4\/35, -2, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -269138 divided by -6.\nAnswer: 134569\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 161\/4 + -40. Let j = -1201\/1612 - 2\/403. Suppose 6*b = b. What is the nearest to m in j, 0.2, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6552 + 22?\nAnswer: -6530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 48, 14.\nAnswer: 12, 14, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2630782019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7446 = 338*w + 100*w for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -24497.18665 to the nearest ten.\nAnswer: -24500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -u**4\/18 + 41*u**3\/9 - 310*u**2\/3 - 1291*u. Factor o(x).\nAnswer: -2*(x - 31)*(x - 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 65 (b) 110 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a + 6322 - 16042 = 0. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 5*u - 3. Let m(h) = 23*h + 186. Let t be 1\/(2 - 85\/40). Let i be m(t). Calculate f(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 0*l + l**2 - 4*l + 3 + l. Let f(v) = -v + 27. Let i be f(0). Let k be (2*1)\/(18\/i). Calculate y(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 19, 2, 155\/4, 5 in decreasing order.\nAnswer: 155\/4, 19, 5, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 divided by -638?\nAnswer: -35\/319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*w - u = 6*w + 105, -84 = -4*w - 2211*u + 2212*u for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.5 + 0.3. Let w be (-5)\/18 - (-2)\/4. Sort w, -1\/2, i.\nAnswer: -1\/2, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.05 + 0.05. Let v = 259 - 1809\/7. Which is the nearest to 1? (a) 2\/3 (b) v (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**3 + 3*o + 3262 + 3256 - 6518.\nAnswer: 2*o**3 + 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = p + 2*i + 7, 4*i = 8. Let v be (-2 - 12)*p - 2. Let h = v - 1. What is the greatest common factor of h and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of i**4\/4 + i**3\/3 + 5*i**2\/2 - 12*i + 3. Is j(2) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15\/23 or 695964?\nAnswer: 695964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/2)\/((-1)\/2). Suppose 71*m = 65*m + 24. Is m != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-690*h**4 - 118*h**4 + 363*h**4)*(2 + 2 - 2) - 2*h**4 + 6 + 1 - 4 to the form u*h**2 + l*h**4 + g*h**3 + f*h + w and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 4*u + 5*u)*(-205 + 66 - 241)*(47*u - 20*u - 13*u).\nAnswer: -15960*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 12*q**2 + 20*q + 4. Let k be b(10). Suppose k = 5*r + 3*m - 27, -3*r + 30 = -2*m. Which is smaller: r or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + -619. Let p = x + 895. Suppose 0 = -5*m - 4*r + 255, 4*r + p = 5*m - 20. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a millennium in decades?\nAnswer: 740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l - 6 - 7*l + 7*l. Let f be n(-6). Suppose -5*c - r + 30 = f, -40 = -3*c - r - 4*r. Solve -c*v = -2*v - 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -69*z + 66*z + 5*i + 69, 0 = -4*i - 12. Which is the second smallest value? (a) -0.4 (b) 4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -358*q + 32. Calculate z(0).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*o + 615*o - 90544 - 59565 = -3209*o for o.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 37631905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3033*f + 221673. Calculate v(-73).\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*h**3 + 3334*h**2 - 3334*h**2 - 57*h**3 - 9 in the form t + v*h + d*h**3 + m*h**2 and give d.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 64481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -245*n**6\/12 - 511*n**5\/5 + 1093*n**4\/8 + 181*n**3\/3 - 37*n**2 - 20*n - 60. Find j, given that r(j) = 0.\nAnswer: -5, -2\/7, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/137 (b) 2 (c) -223105\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of q**2\/2 - 8*q + 187. Let g(w) = w - 1. Give c(m) - 3*g(m).\nAnswer: -2*m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhaw when four letters picked without replacement from dahhwdwwwwwha?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1\/5, 10, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2814353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(-15)\/n)**(-28) assuming n is positive.\nAnswer: n**392","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*d**2*x**2 + 26*d**2*x - 78*d*x**5 - 48*d*x - 2*x**2 wrt x.\nAnswer: -30*d**2 - 1560*d*x**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*v - 4 = -1818, -12 = 4*v. What is the greatest common factor of 380 and l?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 33*l - 229. Calculate v(25).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 301447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-5\/3)*g*g**3*(g\/(g*(g**(2\/3)\/g)\/g*g*g))**(-42) assuming g is positive.\nAnswer: g**(91\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*h - c + 1, 21 = -h + 5*c. Let s(r) = 3*r**2 - 6*r + 4. Let b be s(h). Let i = b - -5. Is 13 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i. Let o(u) be the third derivative of -3*u**5\/20 + u**3\/6 + 39*u**2. Calculate t(o(y)).\nAnswer: -9*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*b + 20*b - 81*b - 7290 = 0 for b.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-945*q**3 - 1632*q**3 - 441*q**3)*(-2 + 0 + 3) + 4*q - 4*q - 2*q**3 + 0*q**3 + 2*q**3 - q**3 to a*q**3 + j*q**2 + s*q + o and give a.\nAnswer: -3019","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 2*p - 5. Let g be y(-5). Let z = g + 36. Solve 3*l - l = -10, -z = -b + 4*l for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 15 + -26 - (38 + -26).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1000331322130 - 3?\nAnswer: 1000331322121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31211156.\nAnswer: 2, 179, 43591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 668003 and 668002 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2502441 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(5)*6 - (1 + sqrt(5) + 0))**2 + (sqrt(30)\/(sqrt(6) + sqrt(24)) - sqrt(5)*-1*-6).\nAnswer: -47*sqrt(5)\/3 + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*g - 1111 - 730. What are the prime factors of g?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {m: 9, i: 7}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2092597?\nAnswer: 13, 160969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11164 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 761951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(14 - 9 - 6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1130 - 40?\nAnswer: 1040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - q - 18. Suppose -q*c + 2*c = 0. Let p(v) = v**3 - v**2 + 24. Is 8 a factor of p(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, q: 1, j: 1, k: 1, i: 1}. What is prob of picking 1 k and 1 h?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 1\/32, -5 in increasing order.\nAnswer: -5, -1\/3, 1\/32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = -2566 - 2177. Let d = -388 - z. What is the remainder when d is divided by 37?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1565 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-7))**(2\/13)*w**(-1)*((w*w**(-2\/41))\/w)\/w)**(-2\/61) assuming w is positive.\nAnswer: w**(872\/32513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1689, -3363, -5019, -6657?\n\"Answer: 9*q**2 - 1701*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c. Let w(o) = 3 + 325*o**2 - 311*o**2 - 3. What is p(w(k))?\nAnswer: -14*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 2011977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100212 (base 3) to base 12.\nAnswer: 1a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 4*g - 440, -4*g = -g + 2*i - 330. What is the greatest common divisor of 11 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 b when two letters picked without replacement from {b: 1, e: 1, o: 2, j: 1, g: 2, n: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -93 + 94. Let m = 715.072 - 715. Is o != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -69534, -73333, -77132?\n\"Answer: -3799*m - 65735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 143*v - 496*v + 47683 + 5620. What is the highest common divisor of 30653 and v?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -637608646 at least as big as -637608646?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 47 = 3*h, -h = 4*x - 5 - 13. Suppose 3*g - 5*y = -28, -2*g + 4 = 4*y - h. What is the closest to g in 1\/5, 2\/9, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-78)*3)\/(-3)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/42 and -47\/1092.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -4*s - 5*k + 575, 5*s = -3*k + 567. What is the remainder when s is divided by (-3)\/((-15)\/16)*5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/9 and 23\/244?\nAnswer: 2196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 3.8351352.\nAnswer: 19.175676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 70081440 divided by 66365?\nAnswer: 1056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 56*p - 47. Let y(g) = 3*g**2. Determine y(i(h)).\nAnswer: 9408*h**2 - 15792*h + 6627","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66419?\nAnswer: 17, 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**26\/(h**(-36)\/h))\/((h**(6\/5)*h)\/(h\/(h**(2\/41)\/h))) assuming h is positive.\nAnswer: h**(12864\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 50367658 to the power of 1\/2, to the nearest integer?\nAnswer: 7097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -5. Let x = 7 + w. Is (-342)\/(-8) + x\/(-4) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5730*f*m**2*r + f*m**2 + 3*f*m*r - 2*f*m - 2*f*r + 2*f + 1719*m**2*r - 2*m*r + m + 1133*r wrt m?\nAnswer: 11460*f*r + 2*f + 3438*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47103*t**3 - 37*t + 15*t - 8120*t**3 + 22*t.\nAnswer: -55223*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -5*y - 2*o - 273, 5*y + 291 = 2*o. Let k be 2\/((-90)\/y) + (-3)\/5. Which is the third biggest value? (a) 1 (b) 1\/6 (c) k (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/5, 3\/4, 0.1, -21902, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2420, 4836, 7252, 9668, 12084, 14500?\nAnswer: 16916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -7*i + 7*i - i. Let n(w) = 2*w**2 + 1. Let o be n(2). Let g(u) = -9 + o + 6*u**2. Calculate g(k(b)).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 274774?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/87 and -44\/21.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 + 27. Suppose 0 = 2*b - 6*b + 3*s - 48, -10 = 2*b - 5*s. Let c be (-19)\/(-76)*8\/b. What is the smallest value in g, 2, c, 6?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 5*u - 4. Let p = 52 + -40. Suppose -8*h - p = -6*h. What is q(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38641*t**3*u*v**2 - 3365*t**3*u*v - 9*t**2*v**2 - t*u*v - 2226*t*u - 2372*u*v**2 wrt t.\nAnswer: -231846*u*v**2 - 20190*u*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/2298132747 and 67\/4?\nAnswer: 9192530988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 11\/6 (b) 1\/489 (c) 0.2 (d) 1\/8 (e) 2\/7 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 274.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1\/(g*g**(-9)))\/((g*g*g**(-4)*g)\/g**9) assuming g is positive.\nAnswer: g**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 12672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(98) - (-4 + (sqrt(98) - (2 + sqrt(98)))) - (-3 + 2*sqrt(98)))*2*6.\nAnswer: -84*sqrt(2) + 107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 - 151 = -3*f. Suppose -f = -5*x + z - 0*z, x - z - 5 = 0. Does 5 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.5 * 26.5\nAnswer: 66.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -a**2 + a**2 + 6 + 10*a**2 + a - 6*a**2. Find the first derivative of m(l) wrt l.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vsdfdsfssfssv. Give prob of picking 3 f.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/7 + 52\/(-84) - 1\/3.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18850)\/2392)\/(-145)*23?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 51 = -5*l, 3*l - 5*o + 31320 = 31175 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 + 2125*p + 10500.\nAnswer: 5*(p + 5)*(p + 420)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -140*c + 146*c. What is the highest common factor of 35 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000094120756 to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 338.68 micrograms?\nAnswer: 0.00033868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -3*y - 5*g, 4 = -g. Factor -7*x**5 - 6*x**y + 11*x**3 + 9*x**5 - 19*x**3.\nAnswer: 2*x**3*(x - 4)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 + -21.5. What is the nearest to 0.1 in 6, l, 3\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 7, 3, 0.3, 5, -174, -5\/4, -1?\nAnswer: -174","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -22. Let l(c) = c + 18. Let a(g) = 5*l(g) + 4*t(g). Let b(u) be the third derivative of u**4\/6 + u**3\/6 + 2*u**2. What is -3*a(z) + 4*b(z)?\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49 - (-12 - 2 - (1253 + -1389))?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*l + 19*l = -14. Let -13*s**4 + 22*s**2 - 30 + 42*s**4 - 14*s**4 + 55*s**3 - 55*s - l*s**2 = 0. Calculate s.\nAnswer: -3, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 269059769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2*t - 570 = -2*t, -2*i - 2*t = 210. Let r = i - -189. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21944 divided by -88.\nAnswer: 2743\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**5 + b**5 + 3*b**5)*(-7 + 0 + 1) - 43*b**4 - 12*b**5 + 43*b**4.\nAnswer: -42*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/9 - 5508302*m\/3.\nAnswer: -2*m*(m + 8262453)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 + 39. Let x = y + -13. Find the second derivative of -2*l + 0 - 3 + 3 - 3*l**x wrt l.\nAnswer: -18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -61\/90 - -5\/18. What is the third biggest value in -0.1, 0.028, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*((63\/70)\/(-9))\/((-5)\/125))\/5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 - -38. Suppose k = 14*g - 6*g - 240. What is the greatest common factor of 15 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3951*n**2 + 1977*n**2 + 1952*n**2.\nAnswer: -22*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7222859 divided by 4\nAnswer: -7222859\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2684)\/(-14) - (6 - 3). Let d be 189 + (0\/(-3))\/(-5). Let q = i - d. Is q greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.81 - 0.49. Let b = q - -0.3. Let i = b + 1.99992. Round i to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 83*m**2 - m - 1139?\nAnswer: 166*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 - -40. Suppose -y*s = -18*s - 156. Let k = -56 - s. Solve 0*g - 5*g + 2*j - k = 0, -4*g + j = 17 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven halves of a centimeter?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 2 + -3 - (-9 - 5)?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x = 14*x - 12. Suppose -3*y + u + 55 = 0, -4*y - 5*u = -x*y - 13. Calculate the remainder when 52 is divided by y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 532 and 3325.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p - 2 - 8336725*p**2 + 8336726*p**2 + 2*p)*((-1 + 5 - 1)*(p - p + p) + 3*p - 2*p + 0*p).\nAnswer: 4*p**3 - 12*p**2 - 8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6 - -0.43. Let s = w - -0.07. What is the closest to s in 2\/3, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -80*t - 101. Is r(-5) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 46*p**2 + 3*p - 7. Let n be u(6). Let x = n + -20033\/12. Calculate the common denominator of x and ((-2)\/5)\/(3\/145).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-304)\/(-12)*132\/(-176)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4*t**2 - 3*t**2 - t**3 - 1 + 2*t**2 + t**2. Let i be m(4). What is the remainder when 6*18\/4 - i is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, -16, -5, -4, 0 in decreasing order.\nAnswer: 45, 0, -4, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2748 a factor of 180332004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 5*c**2 - 8*c - 5. Give a(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in 0.3, 19, 202, -303?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -8*o - 155. Let a(k) = -6*k - 155. Determine 5*a(x) - 4*u(x).\nAnswer: 2*x - 155","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26241\/5*v**2 + 10304*v + 322\/5*v**3 - 1\/5*v**4 - 5120.\nAnswer: -(v - 160)**2*(v - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 8*c. Let h(z) = -z**2 + 2*z. Let k(x) = 2*h(x) + i(x). Let b(o) = -3*o**2 - 5*o. Calculate -4*b(v) + 5*k(v).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -12. Suppose -3*w = -f*v - 23, -5*v = 3*w - 3 - 2. Let g(h) = -2*h**2 - 4*h**3 - 4*h**2 + w*h**3. Determine g(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 98418 and 24?\nAnswer: 393672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 364\/18 + 336\/(-54) + 6. Let s(b) = b - 24. Let j be s(r). Let a be ((-196)\/(-35) + j\/(-10))*4. What is the highest common factor of a and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12 - (0 + 8))\/1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34 + 2*t + 3*t**2 + 17 + 16 to k*t + i + g*t**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.835 + -5.165. What is the biggest value in -3\/4, -1, -6, t, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 4 = 4*j + 5*d, 0 = 5*j + 5*d - 40. Calculate the lowest common multiple of -4 + 22\/2 + 3 + -9 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101000001 + 1?\nAnswer: -11101000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 15*u**2 - 15*u + 7. Let f be l(-14). Suppose f*r + 492 = 8724. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*m - 15*m + 52704 = 0. Is 69 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150) - 5*(sqrt(150) + sqrt(150)*2))\/(sqrt(10)*1*2 - sqrt(10)))\/((-6*-2*sqrt(50))\/(sqrt(160)*-4)).\nAnswer: 56*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 m when three letters picked without replacement from {m: 3, u: 17}.\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -549, 21, -21, 33.\nAnswer: -549, -21, 21, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -26704, -26832, -26956, -27076?\n\"Answer: 2*f**2 - 134*f - 26572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**3 + 6 - 14*j**2 + 97*j + 2*j**2 - 12 + 8 + 0 wrt j.\nAnswer: 12*j - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t - 13. Let b be c(-9). Let f be (-2)\/((-4)\/(-18))*(3 + b). Suppose 0 = q - f*q + 552. 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 fourth biggest value? (a) 4 (b) -0.53 (c) -0.1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5445882 a multiple of 663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**5\/4 - a**4\/2 - 11*a**3\/4 + 2*a**2.\nAnswer: a**2*(a - 1)**2*(5*a + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 906140.6 kilometers?\nAnswer: 906140600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07486 - 220?\nAnswer: -220.07486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + z + 33, -3*h - 4*z + 4 + 14 = 0. Round h to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2354 (base 6) in base 11?\nAnswer: -482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1015 * 0.2.\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rururu. Give prob of picking 3 u and 1 r.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 39*r - 35*r + 12. Let a = 3 - -2. Suppose -a*v = -2*v - 3. Which is greater: v or r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**5 - 23604*f**4 + 141748*f**3 - 118188*f**2 - 283536*f = 0 for f.\nAnswer: -5907, -1, 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 8*h + 5 = 0. Let p = h + 3. Suppose -m + 20 = p*m. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8698, 17391, 26080, 34765?\nAnswer: 43446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 18 = -2, -z = -q - 2. Let t = 85 + -54. Suppose -x + 2*x - q*u - t = 0, x = 2*u + 28. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 216 = -2*p - 287, 284 = 4*l - 3*p. Solve 36*s + 179 = l for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 1:44 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (232\/870)\/((-8)\/18).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -8*w + 9*w - 2*w. Let d(j) = -j**2 - 5*j. Let p(k) = -k**3 - 5*k**2 + 5. Let t be p(-5). Give t*y(a) - d(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 32 in -161, -7.4, 4, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v**3 + 2*v**2 - 3*v + 2. Let c be t(2). Let k = 4 + c. Let o = k - -36. Calculate the highest common factor of o and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1357\/154 + 62\/7. Let c(n) be the first derivative of 0*n**2 + 0*n**3 + 1\/33*n**6 + 0*n - 2 + u*n**4 + 4\/55*n**5. Solve c(b) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586104 divided by 146526?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ahkaw. Give prob of picking 2 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10807408 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9619.12l in millilitres?\nAnswer: 9619120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xouu when four letters picked without replacement from {x: 4, o: 2, g: 1, u: 4}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 3)*(-4*w + 4*w + w) - 3*w - w + 2*w + 5*w + 6 - 5*w + 2*w.\nAnswer: -w + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/22 in 9626, -32\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -4*v - 4. Suppose 32 = -2*s + 4*n, -3*s - 4*n = -7*n + 33. Let x be o(s). Solve 3*p + 1 - 4 = 3*a, -4*a - x = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -2*c - 9, j = -4*c - 6. Calculate the greatest common divisor of 42 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4 = -12. Let o = -5.8 - -1.8. Which is the nearest to -0.3? (a) o (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**3 - z**2 - 10*z - 1. Let y(b) = -10940*b**3 + 2330*b**2 - 111*b - 8. Let r(o) = -11*u(o) + y(o). What is the third derivative of r(f) wrt f?\nAnswer: -65772","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4099615 by -1069.\nAnswer: -3835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 16 = -4*n. Suppose n*l + 495 = -89. Let x = -91 - l. What is the highest common divisor of 11 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 6 - 4 + (3 + 1 - 2)*(-2 + 3 + 0))*(0*r + 5*r - 3*r).\nAnswer: -24*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-6)*((-70)\/(-32) + -2)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2235 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 768, 198, 13 in decreasing order.\nAnswer: 768, 198, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5.612914m?\nAnswer: 5612914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 50148 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 + -75 - (-11 + -1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-21))\/(1634\/(-285950))?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by -128?\nAnswer: 13\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u**2 + 9*u + 9. What is n(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1283*g**3 - 7*g**2 + 5*g.\nAnswer: -7698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 5*i**2 - 6*i. Let o(d) be the second derivative of d**3\/6 + 4*d + 3. Calculate -a(r) - 4*o(r).\nAnswer: -5*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -24*z - 123. Let v(f) = -f - 2. Let b(y) = s(y) - 15*v(y). Let p be b(-12). Solve -20 = -5*n + 5*k + p, 4*k + 8 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.3 * -27.5.\nAnswer: -310.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -7 - 1 - ((-102)\/(-18) - 4)*(-924)\/140. Let 2\/11*t**5 + 24\/11*t**4 - 190\/11*t**o - 424\/11*t + 144\/11 + 444\/11*t**2 = 0. What is t?\nAnswer: -18, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 2*d + 1. Let b be -7*(-5 - 4\/14). Let g = 50 - 85. Let x = b + g. What is z(x)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16319776 and 3408?\nAnswer: 1136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o - 4*o - o)*(-16*o - 25*o + 53*o)*(-32126 + 32126 - 167*o) to the form b*o**3 + x + u*o**2 + m*o and give b.\nAnswer: 12024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -175*w**3 + 48*w**2 - 77*w + 85. Is k(-17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15.06 + 15. What is t rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -135? (a) 0.1 (b) 6756 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w. Let o(y) = 111*y. Give -40*m(l) - 5*o(l).\nAnswer: -435*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -1515*p - 1. Let x(r) = -2*r**2 - 2*r + 11. Let b(o) = -7*o**2 - 8*o + 44. Let g(y) = b(y) - 4*x(y). Determine g(d(h)).\nAnswer: 2295225*h**2 + 3030*h + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t\/((t*t\/(t*(t*(t\/(t*t\/(t\/(t*t*t**(-7)))*t))\/t)\/t))\/t)))*t**(-4))\/(t**(-2))**(-39) assuming t is positive.\nAnswer: t**(-78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3) + 0)*-4 + sqrt(108) + -1*sqrt(108))*-3)**2.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g + 7*z + 17, -g + 64*z = 60*z - 13 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -11411822 divided by 5\nAnswer: -11411822\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 287437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 153*s*y**3 - 340*y**3 wrt s?\nAnswer: 153*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r**2 - 9*r + 7. Let c(s) = s**2 + 5*s - 16. Let n be c(-8). List the prime factors of o(n).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 497*d = 499*d - 11, -2*a - 1 = 5*d for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + 1 + 2 + 0. Let u be z + 4\/((-12)\/(-9)). Let y(q) = q + u*q - 2*q. Let j(m) = -m. Calculate j(y(h)).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 5:39 PM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/386?\nAnswer: -1\/386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18874 or 19163?\nAnswer: 18874","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - a**2 - 2*a - 1. Let z be r(3). Calculate the greatest common factor of 22 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30087 * -10998.\nAnswer: 330896826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.45 or -5?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 8*u - 4. Let b be i(7). Let a(w) = -b*w + 0*w**2 + 2*w**2 + w**3 - w. Is a(-3) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*14\/63*(-2)\/(56\/(-1302))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 245 - 64 = 0. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -20, -4, 28?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 67 divided by -8828\nAnswer: -67\/8828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1607, 3181, 4727, 6245, 7735, 9197, 10631?\nAnswer: 12037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*n = -46*n - 1377 - 471. What is the highest common divisor of n and 5019?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 - 34*f.\nAnswer: 2*f*(f - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of 303*j**4\/4 + 12*j + 9. Let f(s) = 2*s**2. Determine h(f(r)).\nAnswer: 3636*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-7)\/(a\/a**(-6\/7)))\/(a**(-3\/11)*a**2))**(-2\/39) assuming a is positive.\nAnswer: a**(1630\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 4:16 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*u - 2823 + 919 = 41*u for u.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 7*q**2 - 7*q - 37. Let r(z) = -10*z**2 + 11*z + 56. Let y(d) = 7*g(d) + 5*r(d). Let w be y(8). Sort 2, w, 15, -1 in descending order.\nAnswer: 15, w, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**3\/4 - 13396956*c**2 + 107175651*c\/4 - 26793913\/2 = 0 for c.\nAnswer: -53587826, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 703, 697, 679, 643, 583, 493, 367, 199?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -21. Sort 5, 7, r.\nAnswer: r, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -526b98 - -a?\nAnswer: -526b8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t - 1. Suppose -3*x - 8 = -4*g, -3*g + 12 + 7 = x. Let q(k) = -2*k - 2*k + k + 4*k. Let h(d) = g*q(d) - 3*l(d). Differentiate h(m) wrt m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 409, 1451, 3187, 5617?\nAnswer: 8741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29112448, 0.04, -4.\nAnswer: -29112448, -4, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-358)\/(-2 + 0\/1). Suppose -3*y + 915 = 2*y. Suppose 5*c - 3*g - m = 0, c + g + y = 6*c. What is the remainder when c is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d**(1\/9)*d)))\/d**(-1\/3)*(d**22*d*d)\/(d\/((d**(-7)*d)\/d)) assuming d is positive.\nAnswer: d**(157\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*w + 10*w + 3 + 61*w - 2 as g*w + d and give g.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -2*b + 4*d + 68, 2*b = -d + 31. Let i = 48 + -46. Calculate the lowest common multiple of (-1974)\/(-15) - i\/(-5) and b.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -123, -158, -215, -294, -395?\nAnswer: -518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1169 - 1163. Suppose 0 = -2*v - 6, 0 = -2*j - 2*v - 0*v + 6. What is the greatest common divisor of j and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.99132 * -0.1.\nAnswer: 0.899132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/705 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -50 + (-1 - (3 - (-2 + 12)))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**2 + 25*m - 232. What is a(13)?\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 + 140*q.\nAnswer: 5*q*(q + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004718642253 to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**3 + y**2 + 2*y + 1. Suppose -3*f = 2*f - 5. Calculate the least common multiple of f and h(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - t - w = 19, 5*w - 5 = 0. Suppose 3*r = t*d + 2*r + 29, d = 3*r - 17. Let n(z) = -18*z - 18. Is n(d) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000003156949 to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68158 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of 1\/3*y**3 - 6*y**2 + y + 0. What is the derivative of f(w) wrt w?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107552 - n**3 - 107552.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -0.4, 0.07?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 172336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 5:52 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 393fe (base 16) to base 7.\nAnswer: 1664441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 12, 74, 136, 204, 284, 382, 504?\n\"Answer: w**3 - 6*w**2 + 73*w - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5 = 3*v. Suppose -5*h = -4*h - v. Solve 4 = 4*d - 2*t, -h*d = 2*t - 4*t - 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/((-1331)\/(-352)))\/((-257)\/(-11308))\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(44)\/sqrt(4)*-3 + 4 - ((-2*sqrt(11)*-1)**2 - (sqrt(11) + -1 + 1))).\nAnswer: -37 - 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 887.839um?\nAnswer: 0.887839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 5*a**3 + 5*a**2 - 11*a. Let d(c) = -9*c**3 - 9*c**2 + 22*c. Let v be 7\/35 - (-56)\/20. Calculate v*d(i) + 5*x(i).\nAnswer: -2*i**3 - 2*i**2 + 11*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/2 or -525.2102?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 32120633893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of 0 + 4*a**2 + 0*a + 25\/12*a**4 + 1\/12*a**5 + 125\/6*a**3. Solve h(v) = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g**3 + 3*g**2 + 6*g + 14. Calculate f(-4).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75813 is divided by 3444?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 9 = 3*s, -3*p - 5*s + 3*s = 5. Let y(j) = j**3 - j**2 - 2*j - 2. Give y(p).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3\/4 (b) -43 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 63*c**2*i**3 + 558*c**2*i**2 - 1069*c**2 - 186*c*i**3 - 18*c*i + 82*i**3 wrt i.\nAnswer: 378*c**2 - 1116*c + 492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of (12\/(-27))\/(-2) + (-43460)\/(-45)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -27.61 and 4.\nAnswer: -23.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*a - 20 + 20)*(-16*a**3 - 22*a**3 + 34*a**3) - a**4 + 0 + 0 to c + q*a**2 + u*a + b*a**3 + h*a**4 and give h.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 times 1956165\nAnswer: -156493.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 9:04 AM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 39*s + 33*s - 26*s + 4. Let o be d(3). Suppose 2*x - o - 112 = 0. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 804 in 3, -0.5, -0.4, -0.026?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 7:39 AM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -2*o - 25, -3*g + o - 4*o = -39. Calculate the remainder when 49 is divided by g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4 = -2*q, 16 = 3*z + 4*q. Suppose -15 = -f - 3*i, -2*i = 5*f - z*i - 10. Put -5, 3, f in descending order.\nAnswer: 3, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 s, 1 k, and 1 z when four letters picked without replacement from ozxsk?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*d + 29*d - 400 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**5 - 80*u**4 + 166*u**3 - 84*u**2 = 0.\nAnswer: -42, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -5. Suppose y = -0*d + 3*d. Factor -165*s**4 - 4*s**2 + 4 + 163*s**4 + 10*s**d - 2*s**3 + 10*s.\nAnswer: -2*(s - 2)*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3 = -11. Solve 5*o + 3*i - 4 = 0, -2*o + 6 + a = -5*i for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*o - 904 + 1081 = 0. Solve 216*d - 219*d = 5*b + 24, -2*d - o*b - 15 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 86*y**3 - 28\/3*y**4 + 332\/3*y**2 - 560\/3*y + 0 - 2\/3*y**5 = 0. Calculate y.\nAnswer: -20, -2, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llashelslhllsehs. Give prob of picking 2 l and 1 a.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 16, -2 in increasing order.\nAnswer: -2, 0, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16288672 is divided by 266.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1126 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/311509 or -1?\nAnswer: -2\/311509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 10*r**2 + 11*r + 1. Let m be w(11). Suppose -u = -m + 3. Calculate the remainder when (-2 - -4)*u - -72 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/6)\/(k*k**(9\/7)*k) assuming k is positive.\nAnswer: k**(-145\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000020447 to seven decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3354 and 1106880.\nAnswer: 618745920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 16 = 2*x. Calculate the lowest common multiple of x and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 5*y**2 + 3*y + 5. Give q(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13239 is divided by 41.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(23\/2)\/(o\/o**36) assuming o is positive.\nAnswer: o**(93\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 264*f**2 + 8*f - 1. Is t(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55237100 is divided by 691.\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*u - 98802 - 89568 = 0. What are the prime factors of (-9)\/(-12) + 1*u\/(-20)?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*l = -b + 145, -80*b + 75*b + 1 = 3*l + 14 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 544 - 540.642. What is h rounded to zero decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000277534075 rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**5 + 5*h**5 - h**5 + (-2 + 2 + 3 + (-1 - 2 + 1)*(2 + 1 - 1) + 2 - 1 + 1 - 4 + 2 + 4)*(0*h**5 - 2*h**5 + 3*h**5).\nAnswer: 5*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*h = -102*h. Let c(g) be the second derivative of -3*g + 5\/24*g**3 - 1\/4*g**2 - 1\/12*g**4 + h + 1\/80*g**5. Find a, given that c(a) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98470 = 22*u - 97238 for u.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.33 - 2.53. What is the nearest to -1\/3 in v, -5, -0.003?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 40295000 to the nearest one million.\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5820 is divided by 581.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from dddkkkkkkkddkkddddk.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/19 (b) 0.5 (c) 266 (d) 0 (e) 9.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -112.901 + 112.6. Round u to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414 is divided by 93.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of 11*t**5\/12 - 25*t**3\/6 + 53*t**2\/2 - 30*t. Let p(i) be the first derivative of b(i). What is the derivative of p(x) wrt x?\nAnswer: 110*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -92004 divided by -1353?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -33142 (base 9) in base 15?\nAnswer: -67ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2976004 is divided by 82?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p**2 - 11*p + 100. Determine a(-6).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34794*a**4 + 113983*a**2?\nAnswer: -835056*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 0.6. Sort 0.02, -0.4, x.\nAnswer: -0.4, 0.02, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - x + x)*(x - 3*x + 4*x) - 3*x**2 + 2*x - 2*x + x**2 + x**2 + 4*x**2 + (4 - x - 4)*(x - 2*x - 5*x).\nAnswer: 11*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287 is divided by -1 + 32 + -12 + 22?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-161321)\/271810 + (-4)\/(-6) - (-2)\/(-30)?\nAnswer: 1\/154","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -z**4\/24 - 11*z**3\/6 - z**2. Let m be j(-16). Suppose 5 = 5*u, -6 = m*o - u - 0*u. What is the closest to 0.1 in 0, -2, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f + 2*t - 32, 2*t = -15*f + 17*f + 2 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*d = 3*h - 12, 2*h - 12 = 4*d. What is the third derivative of 12*p**2 - h*p**5 - 3*p**2 - 5*p**2 wrt p?\nAnswer: -240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 3:32 AM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (21\/5 + -1)*(6 + -1). What is the highest common factor of m and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**4 - 123948*y**3 + 1318106172*y**2 - 781849110240*y + 119368050283200.\nAnswer: 3*(y - 20348)**2*(y - 310)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 11 + 4*p + 19*p.\nAnswer: 23*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 351 = -0*h + 13*h. What is the remainder when 324\/4 + 1 - 3 is divided by h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -5*x**2 + 44*x + 55. Determine k(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((14\/(-8))\/(-7)). Suppose i*m - 31 - 129 = 0. Is m a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o + 44*o + o - 4 + 20*o. Let d be s(4). Suppose -y + 11 = -d. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75, 93, 127, 183, 267, 385?\nAnswer: 543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 47*h**3 - 2*h**2 - 3*h + 1. Let y(n) = 596*n**3 - n - 1782*n**3 + 595*n**3 + 592*n**3. Give -a(j) + 3*y(j).\nAnswer: -44*j**3 + 2*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 300 + 1.3.\nAnswer: 301.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 4 = 5*i - 10, 5*i - 14 = g for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1422 - -6055859.\nAnswer: 6054437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 9964*w**3 + 30*w - 8 + 10 - 9967*w**3 in the form j*w**3 + t*w**2 + q*w + r and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) 432 (c) -4548\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**3 - 3*b**2 + 3*b**2)*(776*b**2 - 4011*b**2 - 668*b**2 - 281*b**2).\nAnswer: 4184*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 856.8783 - 816.878384. Let z = u - 40. What is z rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17240 - -17513. Calculate the remainder when 379 is divided by o.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 4 (b) -2 (c) 99 (d) -7\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + 4. Suppose -3*t = -0 - y. What is z in -z - 1\/3 + 2\/3*z**t + z**3 - 1\/3*z**2 = 0?\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/4*3 + 31. Suppose -b - 5 = -3*u. Suppose 0 = h + h - 5*i - 17, 3*i = 2*h - u. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 5, 2, -4, -113?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -29707.89 - -0.06?\nAnswer: -29707.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -5 + 22. Let k = 408 + -386. Suppose r - k = -q. Solve -z - 4*n + 9 = 0, -n - q = -4*z - 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -5057*b + 20228. Let p be c(4). Let d(x) be the third derivative of x**5\/60 - 17*x**3\/3 + 2*x**2. Calculate d(p).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b**2 - 39*b - 94 - 56 + 20*b - b**2 + 20*b to the form d + k*b + n*b**2 and give d.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1*(0 + (sqrt(57)\/sqrt(3) + sqrt(19) - sqrt(19)))**2 + (sqrt(1216) - (sqrt(1216) - (2 + (2 + sqrt(1216) - sqrt(1216))**2))).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*i**2*o*w**3 + 3*i**2*w + 603112*i*w**3 - 419406*o*w**3 wrt o.\nAnswer: -4*i**2*w**3 - 419406*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 390 + -405. Suppose 72 = -5*z + z. Let h be (-60)\/(-27) + 4\/z. Sort g, h, 4.\nAnswer: g, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iihs. What is prob of picking 1 i and 1 s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 32588039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 434 + -351 - (3 - -40).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7583 - 7543. Solve -n = -11*n - h for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 11*s - 6. Is a(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 520241276?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vqwppqqwppwhwqd. Give prob of picking 1 v and 1 w.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + c?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + (-4 - 2))*(-3)\/(-5).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l - 2. Let r be x(2). Suppose -a = -2*p + 15, 0 = 2*p + a - 5 - r. Suppose 51*j - 47*j = 16. Put j, -5, p in increasing order.\nAnswer: -5, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of 31*h**4\/3 + 3*h**2\/2 + 37*h. Is c(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 591 is divided by ((-248)\/620)\/(1\/(-95))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3746273 or -3746278?\nAnswer: -3746273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, m: 2, y: 4, l: 1}. What is prob of picking 2 u and 1 l?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2777563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4052\/35 + -616\/5. What is the third biggest value in i, 4, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millimeter in micrometers?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = 6*w + 11*w - 13*w. Solve 0 = 4*b - w + 84 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.479533 to three decimal places.\nAnswer: -1.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4*k + 1 + 4 - 9.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 - 87 + 42 - k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*s. Suppose -3*u + 0*z + 3 = -z, -3*u - 5*z + 21 = s. Find the third derivative of -5*y**3 - y + u*y**3 + y - 4*y**2 wrt y.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120212112 (base 4) to base 3.\nAnswer: -12010012210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 7*z**2 + z - 2. Is 10 a factor of h(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2 + 37*t + 113. Determine m(-14).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 194 + -193.9. Let h = -27.7 + 27.7. Put h, 4, f, 2 in decreasing order.\nAnswer: 4, 2, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -21, -5 in descending order.\nAnswer: 3, -4, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21\/409 + -133449\/5726. Are w and -22 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*14\/63*-1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n. Let y(q) = -13*q. Let w = -8 + 2. Suppose 0 = -z - 4*z. Let p be ((-27)\/w + z)*2. What is p*j(l) - 2*y(l)?\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*t - 10 = 0, 0 = -2*x + 5*t + 16. Solve -8*w**2 + 2*w - 2*w + 677*w**x - 681*w**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*d*g**4 - 2*d*g**2 - 34680*d*g - 2*d + 19305*g**4 - g**2 wrt g.\nAnswer: 312*d*g + 463320*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21.23 - -1.77. Which is smaller: o or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166696603 is divided by 752?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -4*h + 292. Let x(p) = 2*p + 12. What is 8*x(c) + z(c)?\nAnswer: 12*c + 388","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5496 - 1802. Which is smaller: j or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 158 + -160. Let f(o) = -35*o**3 - 6*o**2 - 7*o + 3. What are the prime factors of f(p)?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1443 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: Which is the third biggest value? (a) 10 (b) -0.8 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 35213987*d**3 - 34896119?\nAnswer: 105641961*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 500 + -1498\/3. Which is the closest to -1? (a) -4 (b) x (c) 0.4 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8827693 take away -17783.6?\nAnswer: 8845476.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3692 and 458944.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 350 and 4585?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (20\/12)\/(1\/3). Let n(l) be the first derivative of -l**2\/2 - l - 3. What is n(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 51 - -1?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1925 and -0.5.\nAnswer: 962.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210220212 + -2?\nAnswer: 210220210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((8\/4)\/(4 - 6\/(-1)))\/(59\/9145)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52\/35 + -6\/5. Let g(q) = -2*q**2 + 18*q - 35. Let a be g(6). What is the fourth smallest value in -3, a, 4\/7, n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.119 times 0.3316?\nAnswer: -0.3710604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39 + -6. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1443 divided by 16.\nAnswer: -1443\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 11 - 65 = 2*i, -2*i = 8. Let z = 22 + b. Suppose y - 8 = 3*l, -4*y - z*l + 15 + 68 = 0. What is the greatest common factor of y and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8190 (base 12) to base 15.\nAnswer: 4286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/6*2*-1)\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -65 - -24. Let f = -31 - x. Solve 8 = k - t, 5*t = -f - 10 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-4))\/(1\/(-4)). Let z(b) = -q - 12*b - 1 + 3*b. Let w(y) = -5*y - 1. What is -7*w(h) + 4*z(h)?\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 5*v - 2. Let d be r(-4). Suppose d*o - 4 = 0, -l - 3*l = 3*o - 162. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 7990?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 5 = -0*k. Let z be (-1 - (k - 1)) + 0. Suppose -7 = y + 5*f + 8, -f = 4*y + 22. Sort z, y, 2 in decreasing order.\nAnswer: 2, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of d**5\/60 + 5*d**4\/24 - 5*d**3\/6 + 33*d**2\/2 + 6. Let m(g) be the second derivative of c(g). Give m(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2841975 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 26*k**2 + 1. Let w be x(1). Let q = w + 134. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*m**2 + 3*m**2 - 2*m**2)*(5*m - 3*m - 21 - 7) to the form p + s*m**2 + n*m**3 + l*m and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4927842 and 3726.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 63782 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + s = 10, -5*q + 14 = 3*s - 2*s. Let d(a) = 4*a**2 - 1. Let x be d(2). Let v = x - q. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0.5 (b) -2 (c) 3 (d) -5\/13167\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 51, 75, 113, 165, 231, 311, 405?\n\"Answer: 7*d**2 + 3*d + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 8:15 AM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/20 and 19\/40219772?\nAnswer: 201098860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - 812*v - 143810. Give g(-261).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*u = -955 + 2910 for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1050.3?\nAnswer: -1050.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*z, -z - 46 = 3*x + z. Is x less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6075, 7067, 8673, 10893, 13727?\n\"Answer: 307*j**2 + 71*j + 5697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.0936 - 0.999. What is y rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.04 + 0.44. Let c be (-1 - 2\/8)*4. Let f(n) = n**2 + 5*n - 3. Let s be f(c). What is the nearest to 0 in s, 4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 2*i - 35. Calculate the highest common factor of i and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1139 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 152 and 453427?\nAnswer: 453275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4405 + -4318. Solve -q*t - 2 = -88*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-12)*(45\/6)\/(-5)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15*36\/(-45) + 17. Let f be (6\/(-2))\/(9\/(-48)). Which is the closest to -1\/5? (a) d (b) 0.4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.03 and 17435663562.85.\nAnswer: 17435663562.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 124 - 116. Suppose -x*y - 352 = -16*y. What is the remainder when 126 is divided by y?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -149739.3 or -10?\nAnswer: -149739.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2300 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2964106 + -5?\nAnswer: 2964101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 - 74. Let p be h\/(-8) + (-1)\/4. Suppose 0 = -p*t + 3 + 29. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-2)*(-23 + 1). Let c = l - 9. Suppose 24 = c*a + 3*z + 2*z, -5*z - 36 = -3*a. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t - 16. Let b(r) = -r**2 + 2*r - 1. Let y be b(1). Suppose -2*v + v - 4*v = y. Give h(v).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 832 - 67. Suppose 0 = -12*o + 17*o - y. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/4)*t)**(4\/15)\/(t**(2\/11)*t\/t**(-2\/7)) assuming t is positive.\nAnswer: t**(-488\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 390445432 a multiple of 1047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 55*q - 15. Let j(y) = 25*y - 13. Let d(a) = 12*a - 6. Let w(i) = 9*d(i) - 4*j(i). Calculate 2*r(c) - 15*w(c).\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -76*o + 2305. Let q be l(30). Solve 73 = q*s - 2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/9660 and -13\/873908.\nAnswer: 13108620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33285\/851 - -1452\/37. Put -3, z, 1\/2, -1 in decreasing order.\nAnswer: 1\/2, z, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -i - i. Suppose i*k = 8*k - 5, -4*h = k + 11. Let w be 31*117\/2418 + 142\/(-28). Are w and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71 = 124*u + 8*u + 325 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 n when three letters picked without replacement from beeenebbebebebbeneb.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 65 + -59. Suppose 5*v = 4*v + x. Suppose 2*g = -2*l + 24, v*l - 3*g = 2*l + 62. What is the remainder when l is divided by 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - -1. Let o = -1 + y. Suppose 0 = 4*r - 4*d - 80, 5*d = -r + 46 - 2. Solve -o*u - 40 = 4*g, g - 9 = -2*u - r for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 377853278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/44 and 27\/13328?\nAnswer: 146608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21222716?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2604 and 16244.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*(q\/(q*q*q**(-2\/5)*q*q))\/q*(q**(-25)\/q)\/q assuming q is positive.\nAnswer: q**(-148\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1614172568?\nAnswer: 2, 23, 131, 167, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*r + 16*r = -15*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 91516 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xy when two letters picked without replacement from {y: 2, x: 3, a: 4}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1.8 (b) 11.6 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3805423 and 367?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.784, 4, 0, 6 in increasing order.\nAnswer: -0.784, 0, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -5*y**3 - 15*y**2 + 30*y + 40 = 0.\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k - 13*k + 12*k**2 + 7104*k**3 + 34 - 4*k - 7105*k**3. Give p(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 (base 5) in base 14?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5078668639?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/4 - 9\/(-4). Suppose -c*t + 11 = 2*q - 3*t, -5*q = 3*t - 22. Suppose -2*o - 3 = f, 10*o - q*o + 3 = 2*f. Sort -4, f, 0.4 in increasing order.\nAnswer: -4, f, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -7*g**2 - 11*g - 4. Let m(x) = 35*x**2 + 56*x + 21. Let y be -4 + (4\/1 - 2). Let u(f) = y*m(f) - 11*c(f). Factor u(t).\nAnswer: (t + 1)*(7*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3779583 and 1866.\nAnswer: 933","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 61618.58mm?\nAnswer: 61618580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 45 + 12*a + 11*a + 9*a. List the prime factors of u(4).\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (0 - 12) - -10 - (0 - -8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 29 = 3*h - 3, l + h - 3 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2106721352 to five decimal places.\nAnswer: 0.21067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 19*z + 78. Let q be r(13). Solve q*v - v = -0*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.4, 4, -94, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -383586 (base 9) to base 7.\nAnswer: -1655163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, e: 5, b: 5, g: 1, f: 2}. What is prob of picking 1 g, 2 f, and 1 e?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) -0.194 (b) 2.6 (c) 4 (d) 3\/34 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -7347324\/5 equal to -1469465?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x - x - x - 2 + 7*x. Let o be u(3). Solve 30 = -5*g + o for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 318 - 318.269. Let g = c - -0.239. Are g and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -159 - -953\/6. Let m = -4.64 - -4.6. Sort m, 2\/5, u in decreasing order.\nAnswer: 2\/5, m, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10404525 (base 6) to base 9\nAnswer: -525108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 78709063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -3*i**5 - 18*i**4 + 105*i**3 - 144*i**2 + 60*i = 0?\nAnswer: -10, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 1:36 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 70947287 or 70947285?\nAnswer: 70947287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.12 and 0.2?\nAnswer: 0.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2059927 is divided by 686642?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34089, -33905, -33751, -33627, -33533, -33469, -33435?\nAnswer: -33431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2. Let a(k) = 364*k. Determine a(g(h)).\nAnswer: 728*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -2*x + 125, -4*g + x - 34 = -134. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (4 - (-3 - (0 - 3)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 107\/3 + -35. Let s = 197\/3 + -63. Let r = 80\/21 - s. Which is the nearest to u? (a) r (b) -1\/4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**3 - 44 + 44 + (-l - 7*l + l)*(-3*l**2 - 2*l**2 + 4*l**2).\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w + 17*w**2 - w to x*w**2 + c + d*w and give x.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83 = -16*o - 19 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 90 - -113. Suppose -770 = -n*h + 201*h. List the prime factors of h.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 6*q**2 + 15*q - 14. Let j be 4\/(-26) + 2820\/(-260) + 4. Let w be n(j). Which is smaller: w or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*d = 127 - 39. Let s = 4 + 0. Suppose 4*n + s = -0*n. Sort d, n, -3 in decreasing order.\nAnswer: n, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 770 and -9?\nAnswer: -6930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21767 - 761736\/35. Let i = 26\/7 - n. Let q = -0.823 - 0.177. Which is the closest to 0? (a) i (b) q (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1365, 1366, 1367, 1368, 1369?\nAnswer: 1370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3*u + 6*u + 5)*(155840 - 155840 - 12541*u**3).\nAnswer: -37623*u**4 - 25082*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1363 - 575. What is the tens digit of (12\/5 - 3) + v\/(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5465526 greater than or equal to 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -292604 and 0.0073465?\nAnswer: 292604.0073465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.2 (b) 0.3 (c) -7640\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13 + 28 + 12)*(408*p - 104709 + 104709) to the form c + i*p and give i.\nAnswer: 11016","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b**3 + 2*b**3 + 2*b**4 + 6*b**2 - b**2 - 4*b**3 to n*b**4 + p*b + l + u*b**2 + z*b**3 and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 62173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15804726 to the nearest integer?\nAnswer: 3976","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/((-420)\/(-16)) - 25\/(-7). Suppose d*s = -s + 8. Let -2\/3*b - 2*b**s + 2 + 2\/3*b**3 = 0. What is b?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 2*d - 7*d + 5, -45 = 4*c + d. Is ((-614)\/5)\/(4\/c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/19 (b) -356.5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3346*u + 218. Is b(18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -7*l + 243. What is u(73)?\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34481436043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - q = 4*f + 20, 0 = f + 3. Suppose -q = -3*d - 4*a, d + 0*d - 5*a - 9 = 0. Solve -2*h = 2 + d for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 26\/31 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 702316 (base 9) in base 15?\nAnswer: 82ea9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h - 7. Let p(y) = y**2 + 24*y - 292. Let z be p(-33). Give l(z).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 935 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 8:03 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/3104612 and 53\/2217580?\nAnswer: 15523060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26815*x**3 + 88*x**2 - 44860*x**3 - 88*x**2.\nAnswer: -71675*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1065 + 512. Let h = 5852 + u. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - (3 - (7 + -1)). Let u be x\/(-2) + -1 + -3. Let b(j) = -6*j**2 - 7*j + 7. Let g(s) = 5*s**2 + 6*s - 6. Determine u*b(h) - 7*g(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i**5 + 3*i**5 - 4*i**5 + (-17*i**3 + 44*i**3 - 12*i**3)*(0*i + 0*i + 5*i**2 + (3 + 3 - 4)*(i**2 - 5*i**2 + 2*i**2)).\nAnswer: 18*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of 4*s**3\/3 + 159*s**2\/2 + 31*s. Calculate the remainder when 123 is divided by n(-19).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 7:20 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 4) to base 6\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 5*a + 8. Let z be f(3). Suppose z*v = 8*v. Suppose 0 = -v*c - c + 252. What is the highest common divisor of c and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 12:27 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -5*d + 3. Suppose 0*j = j - 11. Let q = -11 + j. Suppose 17 = v + 5*g, q*v - 10 = v - 4*g. Calculate l(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cocquuyncoooo. Give prob of picking 1 o and 1 u.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -284 (base 9) in base 12?\nAnswer: -17a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -260 + 384. Calculate the remainder when l is divided by (-48)\/((-1)\/4*6).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5 (b) -0.302 (c) 74 (d) -19 (e) 1 (f) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*0.17106\nAnswer: 0.017106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, k: 1, p: 2, h: 6, o: 4}. Give prob of picking 1 l and 1 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -555637.8365 + 3.\nAnswer: -555634.8365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*q - 4*q**3 - 3*q**3 - 13*q.\nAnswer: -7*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/103 - 188\/927. Let q = 65\/46 - -2\/23. Let x = 346.1 + -346. Which is the closest to q? (a) k (b) -0.2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lbbys. What is prob of sequence sb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 146651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 232255.998 milliseconds to days.\nAnswer: 0.002688148125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/3))**(-22))**(2\/3) assuming c is positive.\nAnswer: c**(-88\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -124\/11 - 417\/44. What is the common denominator of j and (-3)\/(-15) + (-277)\/(-40)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -3. Let d(x) = x**2 + 6*x + 2. Let b be d(-5). Let t(u) = u + 6. Let n be t(b). Put s, -5, n in ascending order.\nAnswer: -5, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of 0*y**3 - 6 + 0*y + y**2 - 1\/24*y**4. Let m(x) be the second derivative of f(x). Let g(l) = -3*l**2. What is g(m(v))?\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*n**5*o**2 - 8275*n**5*o + 6*n*o**2 - 39*n*o - 4*n + 3*o**2 wrt n?\nAnswer: -100*n**3*o**2 - 165500*n**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g + 49. Let u(k) = k - 16. Let o(w) = -2*d(w) - 7*u(w). Let n be o(7). Suppose 11*l - 176 = n*l. List the prime factors of l.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4\/2 + q**3 - 3*q**2\/2 - 2*q + 2.\nAnswer: (q - 1)**2*(q + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yvvede. Give prob of sequence yv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 10309*u - 91. Let q(b) = -229*b + 2. Give -2*k(j) - 91*q(j).\nAnswer: 221*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**4 - 78*v**3 - 213*v**2 - 138*v.\nAnswer: -3*v*(v + 1)*(v + 2)*(v + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*x - 134 = 0. Let k be (-1 - (-363)\/12)*7\/(35\/20). Let m = k + x. Calculate the remainder when m is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five eighths of a litre?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -3.3\nAnswer: 16.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 7:13 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 n when four letters picked without replacement from {p: 4, n: 1, q: 10, r: 2}.\nAnswer: 6\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 83940 - 672389\/8. Let u = m - -109. Let y(h) = h + 2. Let k be y(-3). Which is the second smallest value? (a) k (b) u (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6 - -0.8. Let t = -0.4 - -0.2. Let k = -3.3 - -0.3. Sort f, t, k in descending order.\nAnswer: f, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -3276\/20495 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 11*u - 18. Let w(l) = -9*l + 5. Let m be w(-1). What is the remainder when h(m) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -429009\/2 or -214505?\nAnswer: -429009\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -62753\nAnswer: -6275.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -98726 - 75?\nAnswer: -98801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 110564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 144976381 to the nearest integer?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -7*u**6\/6 + u**4\/4 - 40*u**3\/3 - 2*u + 44. What is the third derivative of f(d) wrt d?\nAnswer: -420*d**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-31)\/((-837)\/(-66510)))\/((-2)\/12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.9221298 rounded to two dps?\nAnswer: 64.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0 (b) 8 (c) 0.07 (d) 0.1 (e) 3 (f) -9024 (g) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**3*x**2 + 5*b**3*x - 91293*b**3 - 112036*b**2*x**2 + 2*x**2 wrt b?\nAnswer: 12*x**2 + 30*x - 547758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/7 (b) 1 (c) 1.7 (d) 2\/83 (e) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k\/(k\/(k\/(k*k**(1\/2)))))\/k)**(5\/13))**(3\/2)\/((k**(2\/11)*k**(-4))\/((k**(-5)*k)\/k**(2\/11))) assuming k is positive.\nAnswer: k**(-373\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 704247913.\nAnswer: 19843, 35491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -700 by -175.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -16.6. Let p = y - 2. Let m = -3.4 - p. Which is the second biggest value? (a) 4 (b) -5\/2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -32*y**2 + 4*y + 1241. Let w(p) = 5*p**2 - p - 207. Determine 2*c(r) + 13*w(r).\nAnswer: r**2 - 5*r - 209","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33 + 30. Suppose 4*f - f = g. Solve -3*k - f = -6 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/21 + 2 + 51\/(-21).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, 0.4, -24513, -2 in ascending order.\nAnswer: -24513, -2, -0.02, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.06*7324\nAnswer: -439.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -3*l. Suppose h - 3*h + 4 = l. Suppose -2 = -2*s - 5*f + 3*f, 4*f + 11 = -s. Sort h, s, -2 in ascending order.\nAnswer: -2, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(20\/25) + 35. Suppose j - k - 89 = 0. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (125\/(-15) - -9) + (-7862)\/(-60). Let n = 4783\/40 - l. Calculate the common denominator of -47\/46 and n.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 4*m, 3*m + 1 = -2*g + 4*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.58 + 2. Let p = 25.42 - w. Let b = -25.15 + p. Round b to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**5\/7 - 12*n**4\/7 - 3243*n**3\/7 + 35148*n**2\/7 - 126288*n\/7 + 150336\/7 = 0. What is n?\nAnswer: -36, 3, 4, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -1\/105*y**7 + 0*y**3 - 1\/75*y**5 + 0 + 1\/45*y**6 + 0*y**4 + 0*y**2 - 11*y. Solve c(v) = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m + 9*m + 3864*h + 14 = 3860*h, 5*m - 4*h + 9 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z + 3. Let q be j(3). Suppose 2*v = -q*v + 26. What is the highest common divisor of v and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40 - 2. Let w be j*(-9)\/(108\/(-184)). Is 5\/((-60)\/w)*3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -434, 0.3, -0.258, 2?\nAnswer: -0.258","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5076213*d. Let q(s) = -s. Calculate q(g(f)).\nAnswer: -5076213*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 44248a6 (base 11) in base 16?\nAnswer: 76807a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26792 - t + 72114 + 2*t.\nAnswer: t + 98906","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 36, 36, 30, 18, 0, -24?\n\"Answer: -3*p**2 + 9*p + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 2, -1, 1, -2, 371.\nAnswer: -2, -1, 1, 2, 17, 371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121102 - 22212101?\nAnswer: -100110210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12919, 6, -144, -4 in ascending order.\nAnswer: -12919, -144, -4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 941650 rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, t: 3, f: 3, o: 1, x: 2, n: 7}. Give prob of sequence nen.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**4 + 56*b**3 - 2124*b**2 - 35640*b + 777546 = 0.\nAnswer: -33, 17, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 217363460 to the power of 1\/2, to the nearest integer?\nAnswer: 14743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -350*s + 342*s + 32 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - -2. Calculate the highest common factor of 6 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 3:27 AM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5020, 9965, 14912, 19861, 24812?\n\"Answer: u**2 + 4942*u + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -9012*o + 199. Let l(y) = y. Give i(l(k)).\nAnswer: -9012*k + 199","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -571*l + 5367 + 16085 + 5956 for l.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-12))\/(8\/(-44 + -4) - (-2358)\/864).\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 a factor of 1385235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 5243*l + 2165336. Give s(-413).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**3 + 6*k**2 - k - 9. Give n(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118174 is divided by 1828?\nAnswer: 1182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46806, -46807, -46808, -46809, -46810?\nAnswer: -46811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -b - 7*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 49817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of 5*o**8\/56 - 7*o**4\/12 + 7*o. Find the third derivative of w(d) wrt d.\nAnswer: 600*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 + (33 + 3 - 17) - -82 - (5 - -4)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -69.98 + 0.98. Let m = r - -74. Which is the smallest value? (a) m (b) 2\/3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2. Let t(a) be the first derivative of -a**2\/2 - 78*a + 5366. Calculate t(o(b)).\nAnswer: -2*b**2 - 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 4, -1\/6, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -505.21 - -500. Let u = 4.91 + f. Sort 3\/2, -1\/8, u in ascending order.\nAnswer: u, -1\/8, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjn when three letters picked without replacement from {o: 1, j: 3, n: 1, v: 3, m: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -0.24.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-17127)\/16038)\/((-20)\/(-6)) and -16\/25.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l = 472 - 80. Let k = -45 - l. Suppose k*w - 2*w - 982 = 0. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3486, -3484, -3480, -3474, -3466, -3456?\n\"Answer: q**2 - q - 3486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11\/120, -2, 2, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*y + 157 = -88*y + 1373 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 444*v - 1791. Let o be n(-4). Is o not equal to -19\/307?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*n**3*p**2 + 11*n**3 + 39*p**2 + 3*p wrt n.\nAnswer: 18*n**2*p**2 + 33*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 19.4\nAnswer: 1.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/7 + 101392*n**2\/7 + 1272891594*n\/7 - 44102630052.\nAnswer: 2*(n - 238)*(n + 25467)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 1682\/21*u**2 - 6\/7*u**5 - 1040\/21*u - 158\/21*u**3 + 8 - 62\/7*u**4 = 0.\nAnswer: -7, -6, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1260 and 820.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -120, -113, -102, -87?\n\"Answer: 2*g**2 + g - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 136 and 782?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (81\/15 - 3)\/((-1)\/(-15)). Let m = -33 + n. Solve 2 = m*y - y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3 + 2 - 4*k - 2*k - 3*k. Calculate the remainder when m(-4) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -205*q - 3372. What is x(-17)?\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 5*u - 76526, 2*u + 48 = 36. What are the prime factors of g?\nAnswer: 2, 19139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 75574736*p**2*v**2 + 2*p**2*v - p**2 - 39*p*v**2 - 409*p*v - 34*p + 2 wrt p.\nAnswer: 151149472*v**2 + 4*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 385 + -382. Solve -2*t + 3*t + 2 = 0, t = -b*c - 11 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 divided by -58\nAnswer: -9\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1692 - 955. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 14 + 15 = 3*i, -4*z + 31 = -3*i. Calculate the least common multiple of z and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 17*r**2 - 12*r. Let h(o) be the second derivative of o**4\/6 + o + 199. Determine x(h(c)).\nAnswer: 68*c**4 - 24*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29275 + -146373\/5. Factor -6\/5*u**2 + 4\/5 + 2\/5*u - 2\/5*u**3 + s*u**4.\nAnswer: 2*(u - 2)*(u - 1)*(u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t - 6. Let s(d) = -12*d**2 - 234*d + 363. Let r be s(-21). Determine v(r).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1*(-5 + sqrt(98)))**2.\nAnswer: -70*sqrt(2) + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 471 - 509.9. Let l = 40 + j. Let o = 0.6 - l. Which is the closest to 0? (a) -5 (b) 0 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6272378?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 6*m**2 - 17*m - 4. Let f be c(-8). Solve -p + 2*p = 2*l - f, -5*p - 5*l - 5 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 17, 4 in descending order.\nAnswer: 17, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -2, 6, 2 in descending order.\nAnswer: 6, 2, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, n: 4, k: 1, d: 1, f: 2}. What is prob of picking 1 n, 1 x, 1 f, and 1 d?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55083741?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19286842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 24 = 5*c, -28*o - 2*c = -23*o + 41. Put -177, 5, o in decreasing order.\nAnswer: 5, o, -177","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 10*z**2 + 15*z + 4. What is j(8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5857 - 5863. Sort 5, 4, q, 17, 3 in ascending order.\nAnswer: q, 3, 4, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*c + 259 = 843. Solve 2*g - 7 = 5*d + 4*g, 4*d + c*g = -20 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-100))\/(14\/(-35))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -55*c**2 + 203 wrt c.\nAnswer: -110*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 93295 and 519115?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -178, -384, -684, -1084?\nAnswer: -1590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2235 (base 9) to base 14\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q**5\/3 + 286*q**4\/3 - 2734*q**3\/3 + 9530*q**2\/3 - 7832*q\/3 - 4840\/3 = 0 for q.\nAnswer: -2\/5, 2, 5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (154*d + 131*d + 159*d - 489*d)*(4 + 2 + 0).\nAnswer: -270*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25930 - 7143. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1191577269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.5 + 1.4. Let f = 1.13 + a. Which is greater: f or -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 12:54 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-6) - 6840\/(-54) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 4*b = -24, 4*n + b = -0*b - 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20.067 + 16.067. What is the smallest value in -0.5, f, 15, 1, 2\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ckmcmeemkemedcekyde. What is prob of sequence kky?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/2 + 0\/(-2). Let x = 6 - n. What is the smallest common multiple of x and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(11) - -1*sqrt(44)) + ((sqrt(121)*2)\/sqrt(11) - (sqrt(11)*-2)**2*-3))*-2 + -5.\nAnswer: -263 - 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-223)\/(826661\/45832) + 5*2\nAnswer: -26\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*w - 162*w - 20*w = 217*w - 14006 for w.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 3*u + 2. Let a be l(5). Let x = a + 16. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 15*f + 10. Is 13 a factor of j(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1165 - 2781 = 171*l + 2830 for l.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + (0 - 1) + (-21)\/(-7). Suppose -36 = -y*v + 17*v. Calculate the remainder when (-4)\/6 - 359\/v is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(1836)*2 + sqrt(1836)) + sqrt(1836))*1)\/((sqrt(45)\/(sqrt(6)\/sqrt(2)))\/(sqrt(640)\/sqrt(8))).\nAnswer: -336*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 119 = 2*x + 129, 6 = -3*x + 3*y. Which is the smallest value? (a) -0.07 (b) 3 (c) 36 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 17 - (24\/4 - 1). Suppose 5*i = i + 8. Let n be 2\/(i + q\/(-9)). Solve -x = 3*d - 2*d + 2, 3*x - 6 = n*d for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114, 107, 88, 51, -10, -101, -228, -397?\nAnswer: -614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -2*i + 2, -5*w - 4*i + 289 = 0. Does 19 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f - f + f)*(6030*f - 21835*f - 14147*f + 2832*f - 16967*f) in the form m*f + i + y*f**2 and give y.\nAnswer: 88174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 - (-3 - 1 - -4) - -2967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7928.63l to millilitres.\nAnswer: 7928630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8453 (b) 4\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + -3. Let s = 6 + l. Which is the third smallest value? (a) -4 (b) s (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = 4*y + o, 5*y - 6*o = -4*o + 164. Let b = y - 34. Let x = b - -4. Solve 0 = x*k + 3*k - 20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**5 - 2*v**5 + v**5 + 2*v**5 + 2*v**5 - 2*v**5 + (-v**3 - 2 + 2)*(2*v**2 + 0*v**2 - 4*v**2) + v**5 - 4*v**5 + 0*v**5.\nAnswer: -v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(1584) + 2)**2 + (sqrt(176) + -5)**2) + 3.\nAnswer: -8942 - 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2718 and 206795406?\nAnswer: 620386218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a century in months?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59419672 divided by 14854918.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*f - 70 + 37 + 33.\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 23367*w - 770. Let i be x(-10). Round i to the nearest ten thousand.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5611.79 - 5589. Round u to zero decimal places.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*a + 7294 = 1414 for a.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 70\/7 + -9 + 124*52 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1046720, 1046709, 1046698, 1046687, 1046676?\nAnswer: 1046665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(-1\/5)*x)*x*x*x\/x**2*x)\/((x\/x**(1\/8))\/x**6))**(-37) assuming x is positive.\nAnswer: x**(-10841\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1288338+-1.503191\nAnswer: -1288339.503191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 12*a**2 + 9. Calculate s(12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51783 by -8.\nAnswer: -51783\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -p**5\/5 + p**4\/2 + p**3 - 2*p**2 - 4*p + 690. Find f, given that m(f) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1193511191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 4*h + 36, 4*z + h = -z - 33. What is the units digit of (-3 + z)\/(12\/(-16))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3742*v + 1854*v + 1845*v + 15.\nAnswer: -43*v + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v + 19. Let k be h(-8). Suppose 27*q - 20 - 7 = 0. Let o be 7\/42*(q - (0 - k)). Which is the smallest value? (a) -1.7 (b) o (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259 is divided by 27?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8919*j**2*r**3 + 581*j**2*r - 6*j*r**2 wrt r?\nAnswer: -53514*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -74*a**2 - 166*a + 111. What is the derivative of v(b) wrt b?\nAnswer: -148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 889*v - 260*v + 320*v - 149 = -149 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 265*m + 413 - 289*m - 57*m**2 + 53*m**2.\nAnswer: -4*m**2 - 24*m + 413","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(2\/(-4)*5). Let o = -37 + 36. Which is the biggest value? (a) o (b) z (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-330 + 80*v + 330)*(-1183 - 15*v + 1183)*(7 - 2 - 3).\nAnswer: -2400*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114764026 is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.028 + -4.908. Let g = 0.12 - d. Suppose -2*p + 4*p - 6 = 0. Which is the nearest to 0.1? (a) g (b) p (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43.2 + 54. Let l = y + -10.8. Is -10 != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -621*c + 775*c - 123818618. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 4*l = 12, -35 = -2*v - 3*l - 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 10:58 AM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 20731, 21511, 22291, 23071, 23851?\n\"Answer: 780*c + 19951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 7 + 0*q**3 + 2 - q**3 - 3*q**4 as t*q**2 + b*q**4 + o*q + f*q**3 + r and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-96)\/36*(2 - 8) + 2. Suppose -40 = -4*c - 2*s, -2*s + 6 = 2*c - z. Suppose c*a - 595 = -51. 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 the derivative of -x**2 + 74*x - 184 wrt x?\nAnswer: -2*x + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 858.\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.8 - -5.7. Sort -18, 2, g, 3.\nAnswer: -18, g, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/82, 1.4, -0.5?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of 250*o**7\/7 + o**6\/6 - 219*o**3 + 136. What is the third derivative of j(z) wrt z?\nAnswer: 30000*z**3 + 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82092 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5031585?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8633 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -101432 + -3?\nAnswer: -101435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 59*l**2 - 102*l - 5453. Calculate i(-60).\nAnswer: -2933","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 40518*y - 80. Let i be q(10). Round i to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3010.1923 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + 5. Let l = -15 + z. Suppose -l*b + 15 = 5*t - 205, 4*b = 0. What are the prime factors of t?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 654, 1355, 2052, 2745?\nAnswer: 3434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1059.\nAnswer: 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 3:24 AM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -67*a**4*m + 13*a**2*m - 5699*m with respect to a.\nAnswer: -268*a**3*m + 26*a*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 995521.9um?\nAnswer: 0.9955219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 11*g - 12. Let l be b(-9). Let u = -5 + 0. Let o = u + l. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 3)*-4 + 158. Suppose 9*d = 12*d - v. Is 16 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/3)\/((-6134)\/12). Let n = -223947\/42938 - l. Calculate the common denominator of n and 134\/(-40) - ((1 - -1) + -1).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 5*v = 3*u + 48, 0 = 5*u + 5*v - 160. Calculate the remainder when 111 is divided by u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 2:43 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-6)*4*6. Put -5, 3, 4, w in ascending order.\nAnswer: -5, w, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55 + -2 - 45 - (2 + 0 + 31).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*g + 21 - 114 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((5 + sqrt(171))**2 + 0).\nAnswer: 150*sqrt(19) + 980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 4*f - 12, 0 = -g - g - f - 3. Let z(s) = -s + 1. Let c be z(g). Find the common denominator of -39\/2 and c\/30*(-972)\/(-8).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12\/(-24) + 65\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 6*f. Let p = -62 - -310. Let j(d) = -70*d + 1 + p*d - 73*d - 78*d. Calculate w(j(v)).\nAnswer: 162*v + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j + 2*j + u + 3, -j = 2*u - 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-23199)\/1406*(-1)\/((-3)\/(-6))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 302*y**3 + 2*y**2 - 52*y + 28896 wrt y.\nAnswer: 906*y**2 + 4*y - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of (258468\/28 - -18) + (-1 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 4*s**2 + s - 5. Let a be v(4). Suppose -3*h + t = -a, 3*t + 2*t - 37 = -h. Is h a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 1, -14, -4 in increasing order.\nAnswer: -14, -4, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n. Let v(i) be the third derivative of i**5\/120 - 3*i**4\/8 - i**3\/3 - 2*i**2. Let d(g) be the first derivative of v(g). Let k be d(6). Give w(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 81245 + -81246.540255. Let q = k + 1.54. Round q to five dps.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + x + 548 = 0, -3*l + 296 = -2*l + 5*x. Suppose -89*u - l = -95*u. What is the remainder when 459 is divided by u?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 13 + 9*q in the form t + m*q and give m.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -151 - -91. Let c = y + 60. Do -3 and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*v**2 - 2*v**4 - 330*v + 915*v**3 - 705*v - 7231*v - 305*v wrt v.\nAnswer: -24*v**2 + 5490*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 196 by 2.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -396 + 78 = -6*h. Calculate the remainder when h is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -9*(1\/4)\/(9*(-12)\/96). Solve -14*j + 10*j = -n*r - 12, 3*j = -4*r + 20 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 220*d - 436. Calculate j(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b*b*b**(-19))*b**10 assuming b is positive.\nAnswer: b**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 156 = 4*t - 0*m, 0 = t + 5*m - 43. Let x be t\/57 + 1\/12. Suppose 6*z + 3 = 3*z - 3*l, 0 = z - l + 1. Sort 1\/11, x, z in decreasing order.\nAnswer: x, 1\/11, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven quarters of a centimeter?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 6\/7, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*y**2 + 24*y**2 + 16 + 14*y**2 + 5 wrt y?\nAnswer: 60*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1069396 is divided by 1069167.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -267 - -386. Suppose 6*g - 2*g + 5*f + 486 = 0, -5*f - 10 = 0. Let b = y + g. Solve b*m + m = 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12121, 24242, 36363?\nAnswer: 48484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2*o + 318, 4*v + 10*o - 621 = 11*o. Calculate the smallest common multiple of v and 2.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6676 and -24436.\nAnswer: -17760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -13*w**3 + 53*w**2 + 120*w + 74. Let o(u) = 7*u**3 - 27*u**2 - 60*u - 38. Let l(g) = 5*o(g) + 3*z(g). Solve l(s) = 0 for s.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6352)\/144 + (-2)\/(-18). Let n be 4*((-2)\/11 - 52\/f). Suppose -2*s = 3*q - 11, n*s = 7*s - 4*q - 8. Calculate the remainder when 26 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/9 and -10\/13618487.\nAnswer: 122566383","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 290\/25 + (-2)\/(-5). Suppose -5*h + 7 = -2*f - 4, 0 = 2*h + 3*f - n. Calculate the highest common divisor of h and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -0*c - 90. Suppose -17 = -5*a + c. Find the third derivative of 0*n**2 + 3*n**6 + 4*n**2 - a*n**2 wrt n.\nAnswer: 360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - -2)*(-2 + 1). Suppose -19*h - 20 = -29*h. Factor -3*j**h + j**3 + 1 - d + j**2.\nAnswer: j**2*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 2*b - 4 - 4, 4*a = -b + 4. Suppose -4*v = -a*v. Solve v = 3*g - 2 + 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.8275474mm?\nAnswer: 827547.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2465027 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: How many minutes are there between 5:34 AM and 7:10 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -183, -642, -1423, -2538, -3999, -5818, -8007?\n\"Answer: -2*j**3 - 149*j**2 + 2*j - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 15.1. Which is the second smallest value? (a) 2\/15 (b) -1 (c) -0.2 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 22.1290883 and 62?\nAnswer: 39.8709117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 76, 118?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/2 + -2228)\/(-7 + 5). Let f = -709 + x. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -12*l**3 + 16*l**2 + 76*l. Let m(b) = -2*b**3 + 2*b**2 - b. Calculate -j(u) + 8*m(u).\nAnswer: -4*u**3 - 84*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 746341131 to the nearest integer?\nAnswer: 27319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8027 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 870 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -121793, -243547, -365289, -487019?\n\"Answer: 6*j**2 - 121772*j - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 466944 and 64752?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 19 + 15 - 44 + 4*k - 3*k + 9. Let c(b) = 11*b**3 - 2*b**2 - 2*b - 1. Calculate c(x) + y(x).\nAnswer: 11*x**3 - 2*x**2 - x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2293 is divided by 1098.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 353600.\nAnswer: 2, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -4*b + 2*b + 6054, 0 = -b - 5. Let o = 20222 - 28852. Let i = c - o. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n - 4. Let s(o) = -7*o - 9. Let q = -55 + 53. Let f be s(q). Suppose 3*t + 11 = 2*b + 3*b, b = 3*t - f. Determine i(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39378.79 decades to millennia.\nAnswer: 393.7879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) -85145 (c) 0 (d) 2 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 672956*r = 671029*r - 267853 for r.\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 16 + -8 - -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r + 34*r + 108*r + 104*r + 51*r - 92*r.\nAnswer: 207*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4988 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -r - 85*r**3 - 6 + 6 - 60*r**3 as i*r**3 + h + z*r + w*r**2 and give i.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 41.961157.\nAnswer: 83.922314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 3*u - 2*u)*(2*u + 2*u + 0*u)*((0 + 1 + 1)*(-4 + 1 + 4) + (2 - 9 - 10)*(4 - 1 - 2)).\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 67\/5 of a millennium?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -5*i**2\/2 - 1. Let m(y) = -2*y - 4. Let o(a) = 4*a - 5 + 13*a - 32*a + 12*a. Let u(n) = -5*m(n) + 4*o(n). What is z(u(l))?\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*n**4*u**3 + 18*n**4 - 9*n**3*u + 5*n**2*u**2 - 84*u**3 wrt n.\nAnswer: 96*n*u**3 + 432*n - 54*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 4 - 5 - 6 + 7*f to n + y*f and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -277? (a) -1 (b) 73 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3550659 minutes to nanoseconds.\nAnswer: 21303954000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 91 - 90.877. Let l = d + 117.877. Let z = 118.02 - l. What is z rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/15)\/((1036\/(-280))\/(-37))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -3, 29, -23 in ascending order.\nAnswer: -23, -3, 11, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-9)*(-661)\/(-40982)?\nAnswer: 1\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*o = -73, -39 = 2*r + 4*o - 119. Sort 4, -5, -3, r in descending order.\nAnswer: r, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + 22\/(-6) + (-10)\/(-6). Find the second derivative of -32*y + 5*y**5 + w - 2 - 11*y**5 wrt y.\nAnswer: -120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17600 - 3603. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2687 - -2699. Calculate the greatest common divisor of 164 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of 2*n**3\/57 + 74*n**2 + 52022*n + 1305. Suppose r(p) = 0. What is p?\nAnswer: -703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*o, -28 = -3*k - 0*k - 4*o. Let d be (-1)\/4 + 13\/k. Differentiate i**d + 2*i - 2*i - 1 wrt i.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z\/(z*(z\/z**(-1)*z)\/z)))**40\/((z*z\/z**(-2\/9))\/z**(-2\/5)))**(-18\/5) assuming z is positive.\nAnswer: z**(-6964\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-2997)\/(-189))\/(-37)*(-7)\/(-1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 2*r**2 - 6*r - 5. Let j be k(-4). Let w = -8 - j. What is the tens digit of ((-12)\/w)\/((-27)\/180)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 + -76690*(-60)\/111000 + (-7)\/5*1.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/(2*sqrt(8)) + 1 + sqrt(208)*3 + -5)**2.\nAnswer: -100*sqrt(13) + 8189\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -253.3 + 253. Which is the third biggest value? (a) 0 (b) o (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 9:02 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -405, -50, 4 in decreasing order.\nAnswer: 4, -1, -50, -405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11253444 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/790788 and -27\/7?\nAnswer: 5535516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 161.98824us to minutes.\nAnswer: 0.000002699804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 12:38 PM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -171 - -227. What is the highest common divisor of n and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -435\/14 or -212?\nAnswer: -435\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -69 + 83. Calculate the lowest common multiple of u and 22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 0*u + u**4)*(30*u + 2 + 6*u + 5*u).\nAnswer: 41*u**5 + 2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 5*z + 5. Let d(y) = y + 1. Suppose -3*h + 3 = 5*w - 10, -2*h = -5*w + 8. Let v(n) = w*d(n) - r(n). Is v(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -x + 7, 0 = 4*i + 4*x + 6 + 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1823 + 1877. What is the least common multiple of s and 99?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 87625.88nm?\nAnswer: 0.08762588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 233 = -5*x, 2*x - 140 + 42 = 4*c. Suppose -q + 0*q + 4*k + 42 = 0, q = k + x. What is the remainder when q is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 3262474927964.\nAnswer: -3262474927967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 628529 is divided by 1698?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25612 is divided by 25589.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -260418383.\nAnswer: 5\/260418383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 568112 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/9392 and 29\/14.\nAnswer: 65744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -34. Suppose 2*g - y = -0*g. Let v = 10 - g. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from niiindiiddnddnddi. What is prob of sequence in?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*y + 0*y + 4*y)*(-36*y + 515*y - 20*y) + 4*y**2 + 9*y**2 - 6*y**2 + 3*y**2 - 3*y**2 + 2*y**2 as r + k*y**2 + j*y and give k.\nAnswer: 468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1444 is divided by 717.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/3)\/i*i*i**(4\/9)*i\/(i**(3\/5)*i*i*i*i)*i\/(i\/(((i\/((i\/(i*i**(2\/19)*i))\/i*i))\/i*i)\/i)) assuming i is positive.\nAnswer: i**(-1183\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36544 - -70704. What is the thousands digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 141 - 1607?\nAnswer: -1446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/11 (b) -116 (c) 1\/4 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 228992, 457993, 686994, 915995, 1144996, 1373997?\n\"Answer: 229001*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3287, 6573, 9859, 13145?\nAnswer: 16431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of -o**9\/60480 + o**8\/13440 - o**4\/8 - 3*o**2. Let z(u) be the second derivative of k(u). Factor z(w).\nAnswer: -w**3*(w - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45270740 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: b\"What is the nth term of -23171480, -46342956, -69514432, -92685908, -115857384?\n\"Answer: -23171476*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -272?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 697 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1*((-7)\/(-2))\/((-16)\/16)*-20 and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3 - 47*v**2 - 134*v - 88.\nAnswer: -(v + 1)*(v + 2)*(v + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m - 3. Let s be d(-3). Suppose 4*i + o - 105 = s, -2*i - 16 + 73 = -o. Is 15 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = -5*v - 3*s, 2*v + 72 = 2*s + 2*s. Let i be v\/(-80) - (-6)\/15. What is the biggest value in -1\/12, -0.5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 10*f + 8. Give r(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (q**2 - 4*q**2 + q**2)*(367*q**2 - 3875*q**2 - 1998*q**2) + q**4 + 3*q**4 - 6*q**4 in the form a*q**4 + m*q**3 + h*q**2 + u*q + r and give a.\nAnswer: 11010","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 4*r = 3*y - 4, -5*y - r - 1 = 0. Let i be 5 - (6 - 3 - y). Suppose -2*w = -4*w. Solve w*h + i*h = -2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -38*d**2\/3 + 4*d\/3 = 0.\nAnswer: 0, 2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(0 + 2\/(-61)). Suppose 1869 = 68*i + 373. Let l = d - i. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 15*y = 13*y + 2, 4*u + 2*y + 26 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 221 - 71. Let a = f + -148. Find m such that 1\/4*m**a - 3\/4*m**4 + 0*m + 0 - 1\/2*m**3 = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 20. Let o(t) = -t - 41. Determine 5*a(y) + 2*o(y).\nAnswer: -2*y + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiaaaiaiaaiaaa. What is prob of sequence aai?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12.1 + -70.9. Let i = g - -76. Let p = 3 - 7. Put 1, p, i in decreasing order.\nAnswer: 1, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -831 or -774?\nAnswer: -774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-189)\/(-12) - 12\/16. Let j be (0 - -1)*-2 + v + 3. Put -2, j, -1 in descending order.\nAnswer: j, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (-6)\/(2\/(-1)). Let r(k) = -2 - k**m - 2 - 4*k**3 - k + 5. What is r(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75774654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51*m**5 + 2*m**4 - 3*m**2 - 50*m wrt m.\nAnswer: -3060*m**2 + 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -44214 - 1012?\nAnswer: -100231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + -14. What are the prime factors of k*6 - (-53 - 18)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*f*o**3 + 5*f - 1061*o**5 + 8*o**3 - 20715*o wrt o.\nAnswer: -36*f*o - 21220*o**3 + 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 8*a + 1. Let t(o) = o + 2. Let m be t(-1). Let c(y) = y. Let x(k) = k**2 - k + 6. Let p be x(0). Let d(i) = m*z(i) + p*c(i). Factor d(n).\nAnswer: (n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5, 1\/7, 2\/9, -4, -7, -0.3, -34.4?\nAnswer: -34.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 46076646013 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19.348047 - 1.651773. Let y = 20 + -41. Let t = y - p. Round t to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1149, 6\/11, -1\/5 in ascending order.\nAnswer: -1\/5, 6\/11, 1149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 20 = -2*b. What is the lowest common multiple of b and 13 - (-2)\/(1 - -1)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020111210 (base 3) in base 12?\nAnswer: 12179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -9. Suppose s - 28 = -2*p - 12, 0 = -2*p + t*s + 10. Suppose -p*d - 1 = -8*d. Which is the closest to 0.1? (a) -5 (b) 1\/6 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -u*z + 5*u + 2*z**4 - 5*z**3 - 5 wrt z?\nAnswer: -u + 8*z**3 - 15*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308715 is divided by 821?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*p**5 + 6*p**4 + 423*p.\nAnswer: -40*p**3 + 72*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10821914?\nAnswer: 2, 23, 31, 7589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4499, -3545, -2591?\n\"Answer: 954*k - 5453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*w - 12 = 0, -4*w = -5*q - w - 15. Let y be ((-690)\/7)\/(3\/(-42)). Let o be ((-80000)\/q)\/(8\/y). Round o to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/10)\/((-9)\/12).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142243 is divided by 10934?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/1630 and 24\/46129.\nAnswer: 461290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/2 - (-21)\/6.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 2*h - 11, 2*u + 8 = -4*h + 2*h. Let a(t) = 4*t**3 - t**2 + t. Let q be a(u). Is (97\/(-5))\/(q\/(-20)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -5*n**3 - 10*n**2 + 6*n - 3. Let d(a) = -3*a**3 - 9*a**2 + 6*a - 2. Let g(y) = 3*d(y) - 2*x(y). Let t be g(6). Solve t*r = 3*r + 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 299916, 4, 83.\nAnswer: 4, 83, 299916","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 1) + -6 - (-311 + 300).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) -4 (c) -220597.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n - n - 6*n)*(4 + 2 - 3)*(-3 + 2*n + 3) to l*n**2 + f + r*n and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(242) + 1) + -4 + (-2 + 0 + sqrt(242) - (0 + (sqrt(242) + -1 - sqrt(242)))))**2 + -3)*-5.\nAnswer: -4905 + 880*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of i**8\/224 + 3*i**7\/70 + 13*i**6\/80 + 3*i**5\/10 + i**4\/4 + 78*i**2. Solve u(f) = 0 for f.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -55, -91, -163, -283, -463?\nAnswer: -715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of i**6\/90 - 2*i**5\/45 - i**4\/18 + 4*i**3\/9 + 8*i**2. Factor p(w).\nAnswer: 4*(w - 2)*(w - 1)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4*u**3 - 5*u**2 - 15*u + 47. Let z be i(3). Calculate the highest common factor of 325 and z.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -z**6\/10 + z**4 + 53*z**2 - 42*z - 2. What is the first derivative of w(d) wrt d?\nAnswer: -12*d**3 + 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*b**4 + 4 - 23\/2*b + 21\/2*b**2 - 5\/2*b**3.\nAnswer: -(b - 1)**3*(b + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 5*p - 1576, 5*f + 3152 = 9*f + 3*p. Calculate the remainder when f is divided by 86.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 61143951 and 2805.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/1449 + 24152\/1449. What is the common denominator of o and -31\/63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -11.8. Let t be (110\/(-99) + 98\/(-63))\/((-4)\/(-6)). Which is the second biggest value? (a) 1 (b) -0.5 (c) y (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 984*s = -943*s + 1769*s + 5846 for s.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -953.5 + 953. Let w be ((-2)\/(-8))\/(63\/(-28)). Which is bigger: o or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 120 + -58. Suppose -2*b - 2*s + 94 = -12, 5*b - 5*s = 305. Let r = 68 - b. Calculate the remainder when n is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.17 or 1\/17763?\nAnswer: 1\/17763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9677 is divided by 121?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3023, 12222, 27605, 49178, 76947, 110918?\n\"Answer: z**3 + 3086*z**2 - 66*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.125767 - 17.677573. Let p = l - -19.8. What is p rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5*16\/140 - (-214)\/(-7). Let h = -27 - g. Suppose -3*f = -f, 5*o = -3*f + 10. Sort h, -4, o in decreasing order.\nAnswer: h, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 29069252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -73\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -592*r + 421*r + 855 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 316 = 5*v - n, 2*v = 5*n + 123. Suppose 15*c + 29*c = 4932 + 2592. What is the remainder when c is divided by v?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -2*b - 238, 4*b + 250 = 4*l + 22. Let f = l + -43. Suppose -2*v = 3 - f. What is the greatest common divisor of 16 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(3))*4*-6 + -2*(sqrt(3) - (sqrt(3) + sqrt(6)\/sqrt(2) + 4)**2).\nAnswer: 6*sqrt(3) + 104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8833892 is divided by 1476.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 30*x + 66. Give p(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = j - 3*u, -58*u + 60*u = 6*j - 100. What is the remainder when j is divided by 2\/(-9) - 38\/(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/1703472 and -28\/321.\nAnswer: 182271504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -9*w - 7. Is 13 a factor of v(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -10559*f - 73948. What is l(-7)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 - -0.1. Let x = -4 - z. Let v = 3169 - 3172. Which is the biggest value? (a) x (b) 0 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-18755)\/10)\/(-11)*(-1 - -3). Suppose r - 500 = 3*w + s, w = r - 849. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.21 (b) 6\/35 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 184143 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4764 - 4688. What is the highest common divisor of 4636 and t?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g**2 + g + 1. Let i be h(-1). Let f(x) = 3 + 1 - i + 2*x. Calculate f(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/7)\/((11 + -47)\/252)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 55*q**2 + 77*q - 131. Is l(-52) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cjpppfpccpjfjpfpp. Give prob of picking 1 j, 2 f, and 1 c.\nAnswer: 27\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*t - 5*v - 130, 72 = 2*t + 5*v. List the prime factors of t.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 6 = 4*v. Let m(c) = 0*c - c + v - 3*c**3 - 5*c**2 + 4*c**3. Suppose 0 = 295*t + 158*t - 2265. Give m(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a day in minutes?\nAnswer: 2340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - 2*q + 1. Let l be k(3). Suppose -71 = -l*j + 5. Suppose j = x - u, -u + 41 = x + x. What is the greatest common factor of x and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 28, -58?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 52.\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9548397 divided by 24?\nAnswer: 3182799\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6169998997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + l + 3*l)*(-1 - 3 + 7)*(-l + l + l + (-3 + 6 - 4)*(-1 + 1 - 2*l) + 4*l + l - 3*l).\nAnswer: 30*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000040093 rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 5 + 1 - 11*d**2.\nAnswer: -11*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2253*g - 2327*g - 1702 = 0 for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 - 515645*f + 515650.\nAnswer: -5*(f - 1)*(f + 103130)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + 10 + (0\/4 - 2). Suppose -3*j + 482 = 5*n, 4*j - 2*n = 551 + 83. Suppose -m*d = -296 - j. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -115.012 * 23\nAnswer: -2645.276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/5 + -5 + -1*4. Let n be 1\/(((-3)\/y)\/(30\/25)). Suppose 4*a - 8 = 0, -n*a = -4*d + 2*d + 30. Calculate the remainder when d is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/4 - (-1)\/(-2). Solve 3*b - 5*s = -2*b, o = 2*b - 5*s + 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -21. Solve -4*d + 16 = j*u, d = -5*u + 20 - 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -260, -348, -490, -686, -936, -1240, -1598?\n\"Answer: -27*s**2 - 7*s - 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -23, -44, -73, -110?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*s + 2. Let a = s - 0. Let l = a - 0. What is the highest common factor of 7 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 6*n - 11. Let l(s) = -3*s - 27. Let k be l(-9). Let w be y(k). Is w less than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 307648?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1312 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.32 times -1.785\nAnswer: -0.5712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 255744 divided by 288\nAnswer: 888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1112776 - -3340962. Suppose -7*q - 31946262 = n. Round q to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -4*v + c + 152, -5*v + 2*c = -218. What is the remainder when v is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 4 + a + 155446*a**2 + 12 - 5.\nAnswer: 155446*a**2 + a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/4)\/(6*3\/36)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10947236 and 2824?\nAnswer: 1412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - q**2 - 1. Let m(p) = -4*p**3 - 11*p + 17. Let v(z) = -3*b(z) - m(z). Is v(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1 + (sqrt(693)\/(sqrt(11)*2*-2))**2 + (-4 + sqrt(112) + 0)**2 + 0.\nAnswer: -32*sqrt(7) + 2063\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -101111001110001111001110 (base 2) to base 12\nAnswer: -418b9a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d - 50. Let k(f) = -f + 17. Let w(t) = -6*g(t) - 17*k(t). Let c be w(9). Let n(q) = 5*q - q**3 - 2 + c*q - 8*q + 4*q**2. What is n(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qooquoou. Give prob of picking 3 o and 1 q.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9 + -1)\/4*(-2 + -2). Which is greater: p or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*h**5 + 65118*h**4 + 474114*h wrt h.\nAnswer: -180*h**3 + 781416*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -18*g - 5 - 22*g + 11*g. Let w be c(1). Let k = w + 40. What is the remainder when k is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-2)*1*4\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 123594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2473*l - 23. Let j(y) = -831*y + 8. What is 17*j(b) + 6*r(b)?\nAnswer: 711*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 78*r - 162. What is o(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 18 (b) -2\/17 (c) 0.1 (d) 0.3 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wsrs when four letters picked without replacement from {s: 4, w: 1, r: 9}?\nAnswer: 9\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12465)\/189 + 3 + 56\/588*1\/(-2).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 630*m**3 - 1260*m**3 + 628*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -550 = 177*n - 4267 for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - y + 1. Let z(c) = c**2 + c. Let s(k) = -3*k**2 - 21*k + 1. Let x be s(-7). Give x*o(t) + 3*z(t).\nAnswer: 2*t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of l**8\/2240 - l**6\/240 + l**4\/6 + l. Let z(t) be the third derivative of w(t). Find the second derivative of z(p) wrt p.\nAnswer: 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40586225 to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 2\/5, 1\/2, -77, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -4*z**6\/15 - z**5\/5 + 2*z**4\/3 + 2*z**3\/3 - 88*z. Solve w(k) = 0 for k.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -3*o + j, -4*o - 6 = 5*j + 23. Let u = 3 - o. Calculate the remainder when 53 is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*l - 1079 = -59*l - 51*l for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44554569?\nAnswer: 3, 17, 873619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 3846 = -a + 7*m, 5*a - 19188 = 2*m. Is 96 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44748843.\nAnswer: 3, 14916281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4122 = 428*d - 199*d for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24696, -48933, -73170?\nAnswer: -97407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1002212222 (base 3) to base 14\nAnswer: 7d24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**3 - 9*m**2 - 4*m - 3. Let g be q(5). Solve 0*n - 2 = -j - 4*n, -g*j + 4 = -5*n for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 67 and 11878296?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 20*d**2 - 2*d + 6. Let j(t) = -7*t**2 + t - 2. Suppose 0 = 3*z - 2*z + 3*q - 20, -5 = -q. Let x(g) = z*w(g) + 14*j(g). Factor x(i).\nAnswer: 2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 16*d - 1579 - 21*d + 1394. Let p(a) = a. Give p(f(r)).\nAnswer: -5*r - 185","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 650057?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-94)\/3 - 14\/21. Let g = a - 28. Let v = g + 84. Calculate the remainder when v is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1492 + 5859. Suppose -c + 1277 = 5*k. Let v be (-10)\/15*5*k. What is v rounded to the nearest 100?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2654340050 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -3836?\nAnswer: 3834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 34150154?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1027, -11, -84 in descending order.\nAnswer: 1027, -1, -11, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-5 + (-5 + (sqrt(19) - ((-1 + sqrt(19) - sqrt(19)) + sqrt(19))**2) - sqrt(19) - sqrt(19)) - (2 + sqrt(931) + -4)**2).\nAnswer: -962 + 29*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/8)\/(6\/(-24)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33941?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three fifths of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 9:35 AM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -5*w**3\/3 - 12*w + 6. Differentiate g(j) with respect to j.\nAnswer: -10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/3 in -465, -402, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -95\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 take away 933588004.9?\nAnswer: -933587946.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10823 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000008860798 to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**29*g\/(g*g**(8\/7)*g)*g**(-12)\/(g\/(g**(-1\/5)*g*g)*g) assuming g is positive.\nAnswer: g**(513\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -849\/25 greater than -34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 540 = 3*s + s, s - 5*o = 135. Suppose 0 = 6*j - j + s. Let p = -10 - j. Calculate the greatest common factor of p and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/17083 or -2?\nAnswer: 2\/17083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -201 + 1210256?\nAnswer: 1210055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3*h + 6*h - h + 3*h - 12. Let m be b(12). What is the remainder when 33 is divided by 1\/(((-20)\/m)\/(-5))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-4) - 1\/(-4). Suppose 8*j = -3*j + 1210. Suppose -5*y + 0*y + j = o. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2285 + -1505. What is the least common multiple of 780 and w?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times -0.70910136?\nAnswer: -5.67281088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 0) + (-1 - -12). Suppose m + 3 = 5*n + f, -3*n - 9 = 0. Does 6 divide 6\/9 + (-32)\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 85158 and 1478064?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 384482*j - 2306885. What is a(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42 - -41. Which is the nearest to j? (a) -0.08 (b) -1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 151792 and 4624.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - n**2. Let z(r) = -2*r**3 - 6*r**2 - 2*r + 1. Let a(t) = 3*j(t) - z(t). What is the lowest common multiple of 5 and a(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19003978 + 13245775722\/697. Let c = o + -64\/41. Is c < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -210*g**3 - 15*g**2 - 12*g + 71. Determine n(2).\nAnswer: -1693","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 56776, 114637, 172522, 230443, 288412, 346441, 404542, 462727?\n\"Answer: 2*p**3 + 57847*p - 1073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-33)\/22)\/(6\/(-32)). Suppose y*t = -t + 639. Which is smaller: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9114\/4557)\/(((-4)\/((-28)\/(-3)))\/((-6)\/4)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 25156, 24924, 24680, 24418, 24132, 23816, 23464, 23070?\n\"Answer: -x**3 - 225*x + 25382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63 + 126 - d - 63 + 7*d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -k**4\/6 - k**3 - 3*k**2\/2 - 7*k + 4. Calculate m(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*c**5\/5 - 1194*c**4\/5 - 16839*c**3\/5 + 486*c**2 = 0 for c.\nAnswer: -30, -27, 0, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 5\/39, 2\/9, -3, 29, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-693)*28\/6)\/(10\/15)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 18, f: 2}. Give prob of picking 1 v and 1 f.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = -2*m - 44. Let v(h) = -155*h + 45. Let c(n) = 7*n - 2. What is m*c(s) - 2*v(s)?\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z - 0 + 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = 16*u - 24. Solve 4*b = 2*r - 20, u*b = -4*r + 3 - 18 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*u - 41 = -13 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*k = -8*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 342703?\nAnswer: 17, 19, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r - 8. Let p(n) = 2*n - 5. Let z(c) = 5*d(c) - 8*p(c). Let f(g) be the third derivative of -g**4\/12 + 24*g**2. What is -3*f(j) + 5*z(j)?\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010001000101 - -10?\nAnswer: 10010001000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1886 and 164.\nAnswer: 3772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 21462\/(-686)*(-7)\/3. Solve 0 = g*j - 40*j - 132 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -221*-1832\nAnswer: 404872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 91216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -23775*f**3 - 28*f**2 - 22*f + 5. What are the prime factors of s(-1)?\nAnswer: 2, 11887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 10. Suppose i + 28 = p*a + 4*i, -a - i + 8 = 0. Solve 1 = 3*g - j + a, 0 = -5*g - j + 3 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 4*x + 56, -57*x + 48 = -61*x. Determine k so that -3\/2*k**3 - 3\/4*k**y + 0 + 3\/2*k + 3\/4*k**2 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -415556 (base 9) to base 16\nAnswer: -3c44a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 5*p + 22 = 0, 0 + 4 = s + p for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**3 - 4*u**2 + 345*u + 6. Let g(t) = 2*t**3 + 3*t**2 - 344*t - 5. Give 4*g(p) + 3*l(p).\nAnswer: 2*p**3 - 341*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.24 + 3.33.\nAnswer: 3.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x - 1. Let j be v(-4). Suppose 2*l - 6*w + 98 = -10*w, -j*l = -2*w + 107. Is l greater than or equal to -37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 0. Suppose -k - 2*a = -d*k + 11, k + 3*a = -14. Is k greater than or equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3417590 rounded to the nearest 100000?\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -384 = -35*f - 104. Solve 2 = -p - z - 3, -2*z - f = p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/((-33)\/(-3)))\/((-13)\/325).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 2*p + 2. Give n(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 642719 to the power of 1\/2, to the nearest integer?\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 3*v - 4. Let d be j(-3). Let l = d - -39. What is the remainder when l is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2283408*b**2*m**2 - 26926*b**2*m + 5*b*m**2 + 25*m wrt m?\nAnswer: -4566816*b**2 + 10*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10967237*c**3*v**2 - 2*c**3 - c**2*v**3 + 152704*c + 413 wrt v.\nAnswer: -21934474*c**3*v - 3*c**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*((-82)\/(-328))\/(2\/4)*2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54226250, -108452498, -162678740, -216904976?\nAnswer: -271131206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1313 = -7*o + 20*o. Is -101 at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -3 - 3 - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 6*d + 15 = 0. Suppose 10 + d = s. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1068, 2090, 3126, 4182, 5264?\nAnswer: 6378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 5:14 AM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47023657?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4 = 3*z - 3*x, 2*x + 4 = -2*z. Let n be 1 + 6 - ((-30)\/(-6) - 3). Suppose -6*f + n*f = -1. Solve -f = z*q + 11 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8362?\nAnswer: 2, 37, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 87 - 120?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7182 and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5a5aa0 (base 14) to base 16.\nAnswer: -2f22cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**2 - q + 0*q**4 - 4*q + 2*q**3 - 2*q**4 to the form c*q**2 + i + a*q**3 + l*q**4 + r*q and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -101543506 (base 7) in base 4?\nAnswer: -112303110121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1103708.072 and 136.6?\nAnswer: 1103571.472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (159\/106)\/(9\/(-8))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002966944 rounded to 6 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 3*f + 764. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**3 + 13*p**2 - 4*p. Let z(h) = -h**3 + 7*h**2 - 2*h. What is -6*o(y) + 11*z(y)?\nAnswer: y**3 - y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*w**2 + 1 + 410021911*w - 410021911*w.\nAnswer: -70*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 192, 1.6, 154, 67, 1\/4?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvggvvvgvgnvgvgggvv. What is prob of picking 1 g and 1 n?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12712881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*p + 29*p = 2. Suppose -6*t - 4 + 16 = 0. Let f(s) = 51*s**t + 51*s**2 - 103*s**p. Let b(i) = 2*i**2 - 4. Give f(b(y)).\nAnswer: -4*y**4 + 16*y**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -65899755980\/81 - -813560761. Let z = 16473 + w. What is the common denominator of z and -1\/18?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2870070318.\nAnswer: 2, 3, 23, 29, 239053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -290*b**3 + b**2 - 1. Let h be c(-1). Round h to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5905 + -5843. Is q less than or equal to 41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/1)\/4 - ((8 - 16) + 7). Which is smaller: 1\/332 or x?\nAnswer: 1\/332","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60897?\nAnswer: 3, 53, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.03 - 0.51. Let y = s - 0.12. Let f = 9 + -11. Which is the nearest to f? (a) y (b) 5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4418168*w**2 - 3*w + 469886 wrt w?\nAnswer: 8836336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -77 - -89. What is the highest common factor of 48 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 575 - 425. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 3886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 5*g - 15, -g = -7*x + 6*x - 5. Is g - (-4)\/((-12)\/(-87)) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3104307?\nAnswer: 3, 131, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64179, 64181, 64181, 64179, 64175?\nAnswer: 64169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 187 - 87. Let u be 9*(y\/48)\/(-1). Which is greater: u or -19?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1027 - 1025. Solve 11*s + 2*s + f*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2803026546.\nAnswer: 2, 3, 211, 82003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 235 (base 8) to base 7.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = r + 19, 4*a - 57074 = 15*r + a - 56993 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = z - 101*i + 104*i, -z = 5*i + 12. Solve z*t = -5*t + 132 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 4 - 19 = 3*i, -16 = 2*i - 5*j for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/13 (b) 0.1 (c) -0.05 (d) -2 (e) -3\/20\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eh when two letters picked without replacement from {a: 1, e: 1, h: 1, m: 1, z: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21683\/3 + 7228. Let g(h) be the first derivative of -14 + f*h**3 + 0*h**2 + 0*h. Let t(a) = 44*a. Calculate g(t(q)).\nAnswer: 1936*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-2))\/(-1*3\/6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1467362 is divided by 43.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwyw when four letters picked without replacement from {w: 3, y: 5}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) - sqrt(114)*4)\/sqrt(6) - (sqrt(152)\/sqrt(8) + -3 - sqrt(19)).\nAnswer: -3*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + l - 1. Let r(w) = 18*w - 53. Let m be r(3). Let q(z) = 4*z**3 + z - 2. Calculate m*q(t) - d(t).\nAnswer: 5*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -15377.829 - 66622?\nAnswer: -81999.829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 + 3 = 13*z. Calculate the remainder when 122 is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 3 - 2)*(2 + 0 + 4) + 3 - 2 - 3)*(5 - 2 + 0)*(-5*m + 5*m**5 + 5*m).\nAnswer: 150*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -168503629 to the nearest ten thousand.\nAnswer: -168500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z**3 + 26*z**3 - 32*z**2 - 28*z**3.\nAnswer: 4*z**3 - 32*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.272 - -1.2?\nAnswer: 13.472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 5*n**3 - 2*n**2 + 3*n - 12. Let z(v) = -4*v**3 + v**2 - 3*v + 11. Let f(p) = 5*k(p) + 6*z(p). Suppose 5 = s - 4. Let y = -5 + s. Determine f(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 77 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/57 - 31\/19. Let k = -7\/3 - q. What is the smallest value in 2, 0.3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 23\/3 of a hour?\nAnswer: 27600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 62*-1.2556\nAnswer: -77.8472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 258 (c) 488.42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 1. Let t(y) = 19*y**3 - 5*y**2 + 6*y + 7. Is t(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 10*z - 8. Let y be i(11). Suppose -n = -y*n + 10. Suppose -n*a + 4*f = -3*a - 12, a = -f + 3. Solve 6 = -a*c - 14, -5*p + 3*c = -10 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g + 0 + 0)*(-6 + 6 - 122*g - 4*g) to the form s*g + j + a*g**2 and give a.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 109.7678\nAnswer: -108.7678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 226*c**3*r**2 + 1091*c**3 - 30*r**4 - 4 wrt r.\nAnswer: 452*c**3*r - 120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*d - 739*d + 5734 = -650 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8038969.\nAnswer: 379, 21211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w - 11. Let o be r(-12). Suppose 5*b + 2*m + 5 = 3*m, m = 2*b + 5. Let u be ((-4)\/(-6))\/(1\/(-12)). Sort o, u, b in decreasing order.\nAnswer: o, b, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -41.2 and -1134.\nAnswer: 46720.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 2*y + 0 + (-1 - 2*y + 1)*(2 + 2 - 5) - 2 + 2 - 2*y + 2*y - 2*y + 2*y + (-3 + 3 - y)*(3 - 1 - 4) - 130*y + 612*y + 79*y to m + z*y and give z.\nAnswer: 567","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1413, 1, -1180, -1 in ascending order.\nAnswer: -1180, -2, -1, 1, 1413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -31113, -62234, -93351, -124464, -155573?\n\"Answer: 2*h**2 - 31127*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 12\/25*(-20)\/((-8320)\/13)*8\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -71148*l**4\/5 + 139524*l**3\/5 - 65631*l**2\/5 - 2718*l\/5 - 27\/5.\nAnswer: -3*(l - 1)**2*(154*l + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/(-60))\/((-2)\/12)*13695. What is the common denominator of t\/1452*(-2)\/5 and 31\/80?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5341.86 months in millennia?\nAnswer: 0.445155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 6*f**2 + 2*f - 1. Let i = -2 + 5. Suppose b = i*b + 8. Calculate the remainder when s(b) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 808 = -3*g + 829, -z + 5*g = -36. What is the greatest common divisor of z and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 3 + -1 + -3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -2*g - 5*b + 14, -3*b + 12 = 3*g. Let a be (2\/4)\/((-1)\/(-2)). Is a less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 4*n - 3*n = 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/629 and 1\/43.\nAnswer: 27047","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1994 = 3*z - 2*g - 1995, z + 28 = -9*g + 4*g for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2422\/4)\/(-7)*-6. Let c = -507 + l. Solve -4*i - c = -4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68490 is divided by 66419.\nAnswer: 2071","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 92333663?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-616)\/22 + 30 - 32\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 286*j + 282*j + 6*j**2 - 561*j - 13 - j**3. Does 34 divide d(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1873*h = 3754*h - 1891*h + 220 for h.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 4*l**2 + 6*l - 2. Let v be m(5). Suppose 0*z - 18 = -s + 5*z, -v*s = 3*z. Solve 2*w - s = 5 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 272317*x - 2723174. What is v(10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 369 + -334. Suppose -5*r + b = -5*i + 7*i, -29 = -r + 4*i. Solve r*g = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 87105283 - 84492115181\/970. Let j = u + 105\/97. What is the common denominator of j and -47\/7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/95 and -93\/371590.\nAnswer: 7060210","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: -452074 (base 8) to base 3\nAnswer: -21202101012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, f: 5, q: 2, r: 1, b: 1, c: 4}. Give prob of picking 1 b, 1 c, and 1 r.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 151 + -1061\/7. Which is smaller: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 39468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*1.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 0.05, -2\/15, -368 in descending order.\nAnswer: 0.05, -2\/15, -8, -368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 21*z**2 + 21*z. Let m(v) be the second derivative of v**3\/6 - 11*v + 2. Let o(f) = 2*g(f) - 54*m(f). What is the second derivative of o(u) wrt u?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2425 + 126?\nAnswer: -2266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(3 + -4)*0\/2. Solve v = 5*h - 4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - (-19 - (4 + -11)). Let x(g) = -g + 12. Calculate x(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**3 - 4*i**2 - i + 2. Let q be o(-2). Let m be 372 - -2*(q - 3). Let n = m - 3362\/9. Sort -0.5, 0, n.\nAnswer: -0.5, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 t, and 1 x when three letters picked without replacement from {e: 2, w: 1, d: 4, x: 2, t: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by 43.\nAnswer: -11\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + -8. Calculate the least common multiple of 18 and 3*z\/(-9) - 3.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 558 - 504. Suppose 53*t - k*t = 5*c - 3, -3*t = 4*c + 2. What is the closest to 0.1 in 1, 2\/55, t?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 28*p**2 - 32*p + 54. Let v be w(5). Let m = v + 83. Is 38 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of q**5\/5 - 2509*q**4\/2 - 2573*q**3\/3 + q**2 - 25. What is the third derivative of z(u) wrt u?\nAnswer: 24*u - 30108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/17087540 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -873, -858, -835, -804?\n\"Answer: 4*v**2 + 3*v - 880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mrdddrodadmvvdramm. What is prob of picking 1 a, 1 m, and 1 v?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 338931999 to the nearest integer?\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7597665 and 674?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12cd - -21?\nAnswer: 12ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 68214, 68215, 68216, 68217, 68218?\n\"Answer: f + 68213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.03 or 23297?\nAnswer: 23297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - g + 14 = -0*g, w + 3*g = -10. Let b be (1\/10)\/(w\/10). What is the nearest to b in 0.4, 3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -1\/3*m + 2\/3 - 1\/3*m**2 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 328180 and -0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 + 6 + 0)\/(1\/40). Let v = x + 740. Calculate the common denominator of v\/126 - (-1 + 4) and 26\/15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 2) to base 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddddddkkdkkkdkddd. What is prob of sequence kdd?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 1 - ((8 - -2) + (10 - 10)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 248, 4, 2, -1 in descending order.\nAnswer: 248, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 286270 rounded to the nearest 1000?\nAnswer: 286000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4036, -3946, -3700, -3220, -2428, -1246, 404, 2600?\n\"Answer: 13*p**3 - p - 4048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 - 46*x - 437. Calculate k(-32).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 25*x**2 - 143*x + 2594. List the prime factors of n(19).\nAnswer: 2, 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000123048 to six dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 2*b + 14. Suppose 0 = -z - 5*x + 19, -69 = -5*z - x + 2*x. Calculate the smallest common multiple of b and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1479 less than or equal to -1479?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 279 - 187. Suppose k - 3*s = -k + 87, -2*k - 2*s = -f. Suppose -2*a + 1 = -k. What are the prime factors of a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 12. What are the prime factors of (i\/(-6) - (-68)\/(-3))*-18?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1226 - 13446\/11. Which is greater: d or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 449*r**3*u**3*w**2 + 410*r**2*u**3 + r**2*u**2*w**2 + 2*u**3 wrt r?\nAnswer: 2694*u**3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32.3 + -10.8. What is y rounded to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46*66\/15609*43 - (1 - -9*1)\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 3:10 AM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 7:44 PM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, a: 1, h: 1, b: 1, x: 1}. What is prob of sequence xsa?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 62 + -11011522?\nAnswer: -11011450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36278736 is divided by 9537.\nAnswer: 9525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1198*c = 1647*c - 2245 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/6 (b) 2 (c) -3\/10 (d) 5 (e) 1\/3 (f) 29\/5 (g) 0.15\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 48252009.92 + -0.1\nAnswer: 48252009.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2184*k**3 - 6555*k**2 - 9*k.\nAnswer: -3*k*(k + 3)*(728*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8727916*n**4 + 6*n**2 + 1079656*n?\nAnswer: -209469984*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -79172627\/249 - -317963. Let p = -2\/83 - f. Sort -3, -4, p in decreasing order.\nAnswer: p, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -2 - 0. Let b = 5 - y. What is the remainder when 11 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 3:40 PM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-221*c - 405*c + 33*c)*(3 - 2*c**2 - 3).\nAnswer: 1186*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24407 - 67109 = 435*r + 212*r for r.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4639, 8514, 12389, 16264, 20139?\nAnswer: 24014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 44 + 7*v - v**2 - 93 + 0*v**2 + 47. Let b(f) = 3*f - 3. Let t be b(3). What is o(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*r**4 + 2 + r**2 + 25 + 18*r**4 - 2*r**3 as d*r**4 + u + j*r**2 + h*r**3 + w*r and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -55380+-6269\nAnswer: -61649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5 + -0.6. What is the second smallest value in y, 1\/4, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1254 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1269737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (((-15)\/3)\/5)\/((-8)\/(-24)). Put o, -2, 218 in increasing order.\nAnswer: o, -2, 218","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7394665 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 104.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63434, -126838, -190244, -253652?\nAnswer: -317062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (450\/(-12))\/((-12)\/(-252)*70).\nAnswer: -45\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 39*r = -35*r + 4, -5*x + 5*r + 5 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jud when three letters picked without replacement from iudjudrzrrrzdzduzzdz?\nAnswer: 1\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 4. Let f(i) = i**2 + 5*i + 2. Let s be f(-5). Let t(m) = -4 + 0 + m - s*m - 5. Let u be t(-12). Determine g(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 42*q**2 - 8*q - 15. Determine w(-8).\nAnswer: 2225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -18*c**7\/7 + c**3 - 4. What is the third derivative of g(j) wrt j?\nAnswer: -2160*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**4\/7 - 9*n**3\/7 - 135*n**2\/7 + 75*n.\nAnswer: 3*n*(n - 5)**2*(n + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 8*i - 9. Let a(n) = 141*n + 3249. Let f be a(-23). Let g(t) = t**2 + 7*t + 10. Determine f*g(h) + 5*s(h).\nAnswer: h**2 + 2*h + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and -1.429569.\nAnswer: -0.929569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 4*x - 2, -11 = -2*x + 3*y + 2. Let i be (x - 132\/(-27)) + -6. Let t = 0.7 + -1. Which is the second biggest value? (a) -3 (b) i (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 300 and 5640.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 9:07 PM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -398 + 15*f**3 + 398 + (5*f - 2*f**2 - 5*f)*(2*f + 7*f + 2*f) in the form k*f**2 + d + r*f**3 + a*f and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -588, -706, -1092, -1884, -3220, -5238, -8076?\nAnswer: -11872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41 - -37. Let o(y) = -5*y - 17. Let v be o(s). Suppose 0 = w + v*w - 676. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**2 - 6 - 5*v - 4*v**2 - 1 + 9*v**2. Let c(u) = 10*u**2 - 7*u - 11. Calculate 5*c(p) - 7*d(p).\nAnswer: p**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/4 - (-8 - (-7 - 3)). Which is smaller: 23 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**3 - 2*t**2 - t - 2. Let y be j(-2). Let o = 2244 - 2113. Suppose o - 151 = -5*q. Solve q*v + y = 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 628 and 991769.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -222 and -79344.5446.\nAnswer: -79566.5446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 6606171\nAnswer: 4\/6606171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + x + 6. Suppose 0 = 3*p + 4*p + 56. Let r be 39\/(-52) + (-6)\/p. Determine t(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mp when two letters picked without replacement from {m: 1, p: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 7*n + 9*n**2 - 6*n**2 - 7. Suppose 3*o = 2*u + u - 18, -o + 4*u - 6 = 0. Let x(g) = -g + 1. Calculate o*x(k) - z(k).\nAnswer: -2*k**2 - k + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 837791.3 tonnes?\nAnswer: 837791300000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 211?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-4*(-1 + sqrt(243)).\nAnswer: -216*sqrt(3) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3898840315995 and -0.2?\nAnswer: 3898840315994.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4 + (sqrt(36) - ((2*sqrt(2304) - sqrt(2304)) + sqrt(2304)))\/(-6*-2*sqrt(12)))*4.\nAnswer: -64 - 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2581)\/1305 + 0\/2 and -67\/72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 a factor of 84736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.023739975 to five decimal places.\nAnswer: 0.02374","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32064565?\nAnswer: 5, 13, 493301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 980.0892 litres?\nAnswer: 980089.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/12 of a hour in seconds?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.81966 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*z + 253716 = -20*z. List the prime factors of z.\nAnswer: 21143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03083410699 to six decimal places.\nAnswer: -0.030834","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(48)\/(sqrt(8)\/sqrt(100)))\/(-2*sqrt(192)*5 + (sqrt(192) - (sqrt(192) - 2*2*sqrt(192) - sqrt(192)))).\nAnswer: 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 2, -42?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99909233?\nAnswer: 593, 168481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/7))**(-4\/7)\/(s**(-36))**2 assuming s is positive.\nAnswer: s**(3532\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + 5028\/(-180) + 830\/(-75)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zfxggzfxxggzxgxgn. What is prob of picking 1 x and 1 f?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 80 and -8.3.\nAnswer: -664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k = 4*l + 3*k - 979, -241 = -l - 2*k. What is the remainder when l is divided by 25?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 2*t**3 + 2712*t**2 + 919368*t = 0.\nAnswer: -678, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 66.8345025 - -189866\nAnswer: 189932.8345025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 3*k - 57, -5*k - 24 = 2*y + 11. Let n be 6\/(-4) - y\/(-30). Is (22\/22)\/(n\/(-1514)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1087649*c**2*x**3 - 33*c**2*x**2 + c**2*x + c**2 - 8*c*x + 2*c - 981*x + 61 wrt x.\nAnswer: -6525894*c**2*x - 66*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 11:12 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**2 + 2965448*h + 2965450 = 0.\nAnswer: -1, 1482725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (26\/(-4) + 4)\/((-1)\/(-26)). Let o = p - -63. Let h = 114.5 + -114. Which is the third smallest value? (a) h (b) -4 (c) o (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 12 - (-1 - 1 - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, -57, -75, 0, 4 in ascending order.\nAnswer: -75, -57, -37, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v + 14. Let i(p) = 4*p - 297. Determine i(q) - 3*k(q).\nAnswer: 7*q - 339","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -21*h + 7. Solve -v = 5*y + 11, -8*v + 3*v + 1 = -h*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1484 and 349111.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4418 + -278. What are the prime factors of 4\/(-26) + (-4 - f\/104)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -114910530*c**2 - 309944903 wrt c.\nAnswer: -229821060*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1901 + -1886. Solve -b = -3*l + 2, -l = -20*b + i*b - 10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00976 rounded to 4 dps?\nAnswer: -0.0098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175 = v - 7*w + 123, 0 = 5*v + 15*w + 90 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 25.1930889 minutes?\nAnswer: 0.002499314375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80\/(-140)*(8\/(-6) - 1).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -325341, -325335, -325323, -325305, -325281, -325251?\nAnswer: -325215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -2*p + 1745 - 6711, 2*h - p - 3312 = 0. What are the prime factors of h?\nAnswer: 2, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 q, and 2 b when four letters picked without replacement from zqqqqqzbbzqz?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2069 - 556 = 1513*u. Let v = -1722 + 284129\/165. Which is bigger: u or v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 810657 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-10))\/(183\/(-305))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/13, 0.5, 2\/7, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 103.\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 246\/(-30) + 5\/25. Let o be (-167)\/(-11) + z\/44. Calculate the highest common divisor of 255 and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16150 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4725 >= 4726?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15.6 + -16. Sort 0, p, 0.3 in decreasing order.\nAnswer: 0.3, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 3*u + 31, 0 = -b - 2*u + 5*u + 11. Let r be (-4)\/(-5) - (-1)\/b. Suppose 3*l + 5*m - 3 = -r, -4*l + 16 = 4*m. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/7 - (-2)\/(-7). Let j be i\/3 + (-147)\/9. Let a = j + 30. Does 13 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*z**2\/7 + 30*z\/7.\nAnswer: 2*z*(8*z + 15)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, 1, 20 in ascending order.\nAnswer: -40, 1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1 + (-3 + 0 + 2)*(-3 - 1 + 5) + 4 - 2 - 4)*(14*f**2 - 4*f**4 - 14*f**2).\nAnswer: 8*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27 or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 331*g - 328*g + 39 = 0. Let l(c) = -c**3 - 13*c**2 - 3*c - 33. Calculate l(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.0182 + 0.0182. What is the nearest to -0.2 in 1, r, -5, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 31 + 73 = 4*x, 0 = -5*x + 3*v + 103. Let k = -8 + x. 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: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 529?\nAnswer: 9\/529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -58, -108, -154, -196, -234, -268?\n\"Answer: 2*k**2 - 56*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) 37 (c) -0.5 (d) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 195 divide 1453053183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (269\/(-26) - 6\/39) + (-2)\/(-4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-2\/9)*a**7)\/((a\/(a*a**(-5)))\/a**(1\/3)))\/(a**(1\/7)*(a\/(a\/a**(1\/3)))\/a*(a*a*a**(-2)*a*a)**(-2\/7)) assuming a is positive.\nAnswer: a**(265\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 98216 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -623*q**3 - 2*q. Let p be y(2). Let a = -59977\/12 - p. Find the common denominator of 5\/8 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/5 - (10 + -9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 57*t**2 + 348*t + 38. Give p(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - (-18 - -5)) + (1 - 11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 8, 2, -1, 4, 13 in descending order.\nAnswer: 13, 8, 4, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**(2\/5)))**3*(g\/(((g**(-2\/3)*g)\/g)\/g))**(-2\/35))**(4\/3) assuming g is positive.\nAnswer: g**(-568\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 3830.817203 to the nearest one hundred.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3*(-28)\/(-63) - 7048\/(-6)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 173*o + 2388. Give y(13).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (5 - (8 - 8)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -236426448 divided by 26529?\nAnswer: -8912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7}. What is prob of sequence gg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0.01 (b) -1 (c) -6\/215 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/2 (b) 3 (c) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**4 + 50992*h**3 + 13490568*h**2 + 1178947440*h + 34265862108 = 0. What is h?\nAnswer: -87, 13009","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.11 - 2. Let x = -1.057 - -1.047. Let z = s + x. Which is the closest to z? (a) 1 (b) -2\/9 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12462 rounded to the nearest one hundred?\nAnswer: 12500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) 1 (b) -2 (c) -277\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dlmy when four letters picked without replacement from {y: 1, m: 2, h: 3, l: 1, d: 1, c: 3}.\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40 - -34. Find the common denominator of 89\/8 and -1 - 8\/(-12) - 143\/t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one sixth of a minute?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10.6 - 10.9. Suppose -21 = -4*u + y, 4*u - 5*u = -2*y - 7. Which is the closest to 3? (a) q (b) u (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h. Let y be k(4). Let m(z) = z**3 - z + 2. Suppose 4*x + 7 + 5 = 4*w, 15 = -w - 5*x. Let r be m(w). What is the greatest common factor of y and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 82, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 7*g**3 + g**2 - 2*g - 2. Let q be l(-1). Let c(m) = 9*m**3 + 8*m**2 - 6. Let k(f) = -8*f**3 - 7*f**2 + 5. Calculate q*k(h) - 5*c(h).\nAnswer: 3*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -1. Let p(i) = -4 + 3*i + w. Let n(o) = -2*o**2. Calculate n(p(q)).\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -85414 and -3.\nAnswer: -85417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1845, -6826, -18091, -38784, -72049, -121030, -188871?\nAnswer: -278716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.06, 138, -1\/5, -5\/9, -1\/6?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59947?\nAnswer: 151, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-3)*6\/(-4). Suppose m*s = 26 + 114. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3\/7 + 376*t**2\/7 - 16*t\/7 - 1504\/7.\nAnswer: 4*(t - 2)*(t + 2)*(t + 94)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 180 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, i: 4}. What is prob of picking 1 i and 1 g?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1029394436 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -6141, -2, -13 in descending order.\nAnswer: 1, -2, -4, -13, -6141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6146 or 6138?\nAnswer: 6146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55 (base 6) to base 14.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 10*f**2 + 9. Let h be l(-10). Let y = h + -2. What is the remainder when 11 is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.1 - 1.09. Let m = u + -6.01. Is m <= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g + 3*d + 6, -2*d = -d + 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.559358 centuries?\nAnswer: 671.2296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*j - 326 = -1659. Suppose 11 = -3*s + 5, -3*b - 2*s = 94. Which is greater: b or j?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10020*y**2 - 911*y**2 - 4*y + 5*y - y to the form b*y + v + r*y**2 and give r.\nAnswer: 9109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)*2)\/(-6*sqrt(48)).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1543)\/(-5) - 3\/(-10)*-2. Is (-2 + 3)*(z + (-2)\/2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -4451*r**7\/7 + 53*r**3\/3 - 2*r**2 - 5478. What is the third derivative of v(b) wrt b?\nAnswer: -534120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -595\/4 - -148. Put 0, -5\/6, 2\/5, u in increasing order.\nAnswer: -5\/6, u, 0, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5489930 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 - 8.3. Let q = y + 6. Let w = 10 - 12. Which is the nearest to w? (a) q (b) -0.5 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3910 is divided by 18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of a**6\/40 - a**4\/12 + a**3\/3 + 6*a**2. Give n(2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 7. Give r(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2795, 2786, 2763, 2720, 2651?\nAnswer: 2550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13395*l + 13392*l + 13400*l + 171 - 40188*l.\nAnswer: -l + 171","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 461062630?\nAnswer: -461062635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 20202 (base 4) in base 2?\nAnswer: 1000100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1356, -4 in descending order.\nAnswer: 1356, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-201195)\/10707450 + (-4)\/(-190))\/((-2)\/8)?\nAnswer: -2\/221","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**3\/7 - 7500*n**2\/7 + 3871152*n\/7 = 0 for n.\nAnswer: 0, 618, 3132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4672 * 0.143\nAnswer: 668.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -64*g**2*h**2*p + 2*g**2*h*p - 31*g*h**2*p**2 - 2*g*h*p**2 - 6*h**2 + h + 318*p + 1 wrt h?\nAnswer: -128*g**2*p - 62*g*p**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 43906 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: What is the second derivative of 96*c**3*f**2 - 17*c**2*f**2 + 2*c**2*f + 2*c**2 + 49*c*f**2 + 145*c*f - 4 wrt c?\nAnswer: 576*c*f**2 - 34*f**2 + 4*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(0 + sqrt(98) + sqrt(98)) + 3)*1 + (sqrt(98)*1 + -5 + -2*-2*sqrt(98) + sqrt(98))*-6)**2.\nAnswer: -12012*sqrt(2) + 67337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/8 of a kilogram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.159 + -0.15609. Round h to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5\/((-15)\/3))\/((-1)\/4). Let q(b) = -6*b**2 + 4*b - 1. Let g(k) = -17*k**2 + 11*k - 2. Give a*g(p) - 11*q(p).\nAnswer: -2*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4171072*g*h - g + 1946438 wrt h?\nAnswer: 4171072*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d + 3. Let u(y) = 2*y + 7. Suppose 8 = 2*m + 4*x, -2 = 2*m + 5*x - 11. Let f = -105 + 100. Calculate f*g(p) + m*u(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15.99 + 15.4. Let h = g + 0.29. Put h, -4, 5, -0.2 in descending order.\nAnswer: 5, -0.2, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5787?\nAnswer: 3, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 4*r + 65816, -2*q - 5*r - 4503 = -70355. What is the remainder when q is divided by 302?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 371056509?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63000106 to the nearest integer?\nAnswer: 7937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1467.310656 to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*u**3 - 3 + 3 + 0*u**3 - 6*u**2 to f*u + o + v*u**3 + l*u**2 and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0)**15)**(-7)*(i\/(i\/i**(-4))*i*i\/i**(-4))**(-1\/26) assuming i is positive.\nAnswer: i**(-1\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 944c (base 16) in base 7?\nAnswer: 215453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*s + 4743 = 52*s. Calculate the highest common divisor of 27 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -729*b**2*g**2*j + 40*b**2*g**2 + 103*b*g**2 + 82*b*j - 3*g**2*j - 2*g wrt b?\nAnswer: -1458*g**2*j + 80*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2763132667?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00448261968 rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8 - 100\/(-12) - 15. Factor 1\/3 - p*m + 5\/3*m**2 - 2\/3*m**3.\nAnswer: -(m - 1)**2*(2*m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -5\/13 (b) -1 (c) -0.5 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**2 + 182*t - 190. What is a(52)?\nAnswer: 1162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -672 divided by -1.\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1056 + 1061. Let b(g) = -2*g + 0*g + 4*g + 2. Give b(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -3\/8 (c) 3\/25 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -15*o**3 - 5*o**2 + 5*o + 5. Let y be (36\/(-60))\/((-1)\/(-10)) + 3. Let s(w) = 8*w**3 + 3*w**2 - 3*w - 3. Determine y*v(m) - 5*s(m).\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -17. Suppose -m - 5*t = 41, -j*m - 7*t - 76 = -3*t. Let y = -33 - m. Solve 0 = y*z + 4 - 13 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + n + 18 = 40, 0 = -l + 5*n + 33. Solve -l*f = -5*f - 32 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48) - (sqrt(48) - sqrt(3888)*6)) + 4 + ((sqrt(15) - sqrt(30)\/sqrt(2))*-2)\/((2*sqrt(15))\/sqrt(3)))**2.\nAnswer: 1728*sqrt(3) + 139984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 10. Let s = g + -11. Let m = s + -1.00000015. What is m rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -7*k + 46. Let c be 6 + (-3 - 1\/((-3)\/9)). Let f be i(c). Solve -4*m - f = 3*a + 27, 2*a + 2 = 2*m for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 20*x**2 - 2*x - 49. Let k be q(-20). Let r(a) = 5*a + 49. Let d be r(k). Solve -d*i + 36 = 4*o, -3*o + 40 = 2*o + 4*i for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in eighteen fifths of a millennium?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 45 - 9 + 12 + 39*o.\nAnswer: 39*o - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 9*a + 1. Let n be w(9). Let j = 28195\/14 + -2016. What is the common denominator of (-1)\/(70\/46 - n) and j?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v = -c + 55, 4*c - 123359 = -3*v - 123295 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 7 + a**2 - a + 8*a - 2*a. Suppose -12*m = 8*m. Suppose -129*c + 135*c + 30 = m. What is k(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 90*m**2 + 30143*m - 2396. Calculate y(-335).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2 + 2*f + 4. Let j(m) = -m**2 - m - 1. Let l(o) = -c(o) - j(o). Let v(w) = w**3 + w**2 - w - 1. Let g = -1725 - -1726. What is g*l(a) - v(a)?\nAnswer: -a**3 - 2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**2 - 84*f - 696. Calculate v(49).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5724 or -2\/273?\nAnswer: -5724","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -46\/5 in 0.2, -5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.14 + 0.04\nAnswer: 0.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -6598*h. Let w(b) = -2*b**2 - 4*b. Determine w(j(c)).\nAnswer: -87067208*c**2 + 26392*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-11)\/k**32 assuming k is positive.\nAnswer: k**(-43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -199, -190, -167, -124, -55, 46, 185?\nAnswer: 368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 + -29. Suppose -2*m = 2*d, -w*d = 3*m + 3 + 2. Suppose k + m*t - 45 = 2*t, -5*k - 4*t + 192 = 0. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9169\/9 + -1019. Sort 10\/19, -1\/6, f, -3 in increasing order.\nAnswer: -3, f, -1\/6, 10\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, d: 1, x: 2, e: 1, q: 3}. What is prob of picking 4 d?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2951786 is divided by 2951775?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -41689?\nAnswer: -41689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 16.5\nAnswer: 82.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 2*i**2 + 80. Let x(g) = -15*g**2. Determine x(z(t)).\nAnswer: -240*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 197024 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: Let n(q) = -2*q + 23. Let m be n(11). What is the second biggest value in -0.4, m, -12, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rgeggherreghheehegrr. Give prob of sequence egh.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6968143?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4045*i**3*q - i**2*q - 23*i**2 + 33*i*q - 7*i wrt i.\nAnswer: 24270*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*c - 3*c**3 + 12*c)*(2787*c - 1579*c - 3974*c - 7083*c - 4092*c - 1798*c) as h*c**4 + w*c**3 + j + a*c + l*c**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/104611 and 33\/64376.\nAnswer: 836888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1844586765 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*q**2 - 2*q**2 + 16*q**2.\nAnswer: 22*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.1 (b) 24 (c) -19 (d) 1.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of 38 - 5*b**4 - b - 9*b**2 + b - 45. Find the second derivative of s(i) wrt i.\nAnswer: -120*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 7*g**2 - 31*g + 4. Determine y(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63\/(-45)*2 + 3.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**4 - 1 + 1 + (0*y - 2*y**3 + 0*y)*(-626*y + 113838 - 113838).\nAnswer: 1251*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11149178 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-2)\/8))\/(-18 + 16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 - -122. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 5*y + 16, 142 = 4*y - 14*g - 0*g. Solve -4*a - 11 = -3*d, -d = y*a - 9*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -80 - -124. Suppose 2 = -s, -3*u + g = -s - 3*s. Find the second derivative of 4*d**5 + 12 - u + d wrt d.\nAnswer: 80*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 3:18 PM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, l: 7}. What is prob of sequence lyl?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h - 2. Let w(v) = -2*v**3 - 23*v**2 - 14*v - 41. Let b be w(-11). Calculate a(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4474710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 155 and 558.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 481681 is divided by 42.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*k - 25 + 1 = 0, -4*p = 3*k - 33. Let l be 9\/p*-9*-30. Round l to the nearest ten.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 144\/27*(3 - 21\/4). Let f be (-3)\/t*20 - -1. Solve -f*y = -y + 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, e: 2, s: 4, w: 1, h: 5}. Give prob of sequence ws.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14\/(2*3*12\/252) is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) + -1 + 0 + 5 + (sqrt(80) - (sqrt(80)*1 + sqrt(80)) - sqrt(80)))*5)**2 + 3.\nAnswer: -800*sqrt(5) + 2403","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -408, 7.\nAnswer: -408, 0, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 132 and 132268.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31205 + 34880. Is 21 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ftfbffb. Give prob of sequence ffb.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**5\/6 - 47039*p**4\/6 + 554036491*p**3\/6 - 20454543149*p**2\/6 + 114907857488*p\/3 - 353470080640\/3 = 0.\nAnswer: 5, 16, 23501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*t - 88690 + 88935 = 0 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -52*b + 42*b + 9*b. Let q(g) = -4*g - 28*g - 57*g. Give q(x(s)).\nAnswer: 89*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 150.65 - 150.650019062. What is s rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f*l**3*y**2 + 8*f*l*y**3 + 2*f*l*y**2 - 3*f*l - f*y + 6*f + 7*l**4*y**3 wrt l?\nAnswer: -6*f*l*y**2 + 84*l**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -146 + 2?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1932934971.\nAnswer: 3, 11, 31, 1889477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 791 = 61*b - 1527. Solve 8*v + b = 6 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -279, -277, -275, -273?\nAnswer: -271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 4*i - 8. Let g = 13 + -17. Let b be q(g). Let t(h) = h**3 + 9*h**2 + 7*h - 9. Give t(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 2:29 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence prk when three letters picked without replacement from {g: 5, p: 1, i: 3, k: 1, l: 2, r: 1}?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 - 0\/((-5)\/((-10)\/(-4))). Suppose o*y = -2*y - 28. What is the smallest value in -6, -1\/4, y?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 109710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -7*t**3 - t**2. Let w(p) = p**2 - 5*p + 3. Let g be w(1). Determine q(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -276 greater than -301273?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p - 18 = -95 - 67 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -g**2\/2 + 4. Let l(p) = 5*p. Calculate -l(o) - 6*z(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*((-3*(-3*sqrt(1377) + sqrt(1377)) - sqrt(1377)) + 2 + -3*(sqrt(1377) + 2*sqrt(1377)*-1)))**2.\nAnswer: 4608*sqrt(17) + 1410112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of w**3\/3 + 11*w**2\/2 + 8*w + 3. Let n be x(-12). What is the greatest common factor of n and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-373 + 373 + 43*q)*((-q - 1 + 1)*(2*q - 1 + 1) + (-5 + 5 - 7*q)*(-q - q + q))*(3 + 2 - 3).\nAnswer: 430*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*n**2 + 944*n**3 + 28*n**2 + 5*n**2.\nAnswer: 944*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + d - 2*d - 15 = 0, 2*q + 2*d - 6 = 0. Suppose 2*o + 19 = 3*c, 2*c - 11 = c + q*o. Which is bigger: 6 or c?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 + 6*l + 6. Let x be (-310)\/(-8) - 2\/(-8). Let k = x - -1. Calculate the remainder when k is divided by u(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/5455)\/((-2)\/(-10)). Let l = g - -9797\/12001. Find the common denominator of -36\/7 and l.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/9, -41, -5?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-17)\/68 + (-33)\/(-4). Suppose -1 = j + v. Let l be 2 + -1 + (-27)\/j. Solve -5*w - 14 = u - 10*w, -5*w + 11 = -l*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211*o - 206*o + 2*s - 798 = 0, -2*o = -4*s - 324. Calculate the greatest common factor of 280 and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -k + 10. Suppose f + k*y - 34 = 0, -4*f = -2*y + 7*y - 91. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1539651120 a multiple of 7224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-288)\/(-16)*(-27)\/(-9963)\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, -1\/2, 0.4, 3\/5, -3\/8 in decreasing order.\nAnswer: 3\/5, 0.4, -1\/9, -3\/8, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 476311446?\nAnswer: 2, 3, 13, 89, 22871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 12 = -2*w. Let h(k) = 4*k**3 + k + 2. Let q(y) = y**3 - y + 1. Give w*h(v) + 2*q(v).\nAnswer: -2*v**3 - 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -70.02 - 2.41. What is q rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2515*g**2 + 2562*g**2 - 2*g**3 - 5077*g**2.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from miiieioqirmeme. Give prob of picking 1 e and 1 q.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 0)*2814\/(-268). Suppose 0*f = 2*f - 44. Which is greater: f or p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*m = -3*m - 5*m - 3*m + s - 94, 24*m - 64 = 22*m - s for m.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/161 + (-7 - ((-22)\/(-2) - 18)).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2520 and 3727080.\nAnswer: 3727080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 1 = -2*c, p - 7603 + 7606 = -3*c for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/10 of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 680 a factor of 15447590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/4 - 37*r**2\/2 - 389*r\/4 - 237\/2.\nAnswer: (r - 79)*(r + 2)*(r + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**3*s**3 - g**3*s - 18*g**2 + 138*s**3 - 3*s**2 wrt s.\nAnswer: 12*g**3 + 828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -17*s. Let x(q) = 93*q. Let h(r) = -33*u(r) - 6*x(r). Let k(o) be the first derivative of o**2\/2 + 1. Determine h(b) + k(b).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -534 (base 12) to base 11.\nAnswer: -631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w + 0*w - 2*w + 43 + 68 - w. Is k(-24) a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/6 and -73\/1912616.\nAnswer: 5737848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -3. Let r = 2 + -21. Let n = r + 21. What is the third biggest value in n, 0, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 571169620 is divided by 65.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**0*u)**27*u**5\/u*u**(-3))**11 assuming u is positive.\nAnswer: u**605","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1882.0556 - -1883.8. What is j rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-5)*-1)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 913, 1943, 3089, 4351?\n\"Answer: 58*g**2 + 856*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - 12\/(-5))*5. Let s be (4 - 0)*h\/4. Let v be s\/6*(12 - 0). Solve v = r - 2*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -527763, -527500, -527237?\n\"Answer: 263*a - 528026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssheiimihhinii. Give prob of sequence eimh.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 28. Let j be (-20)\/(-15) - 1\/((-3)\/2). Suppose -69 = -4*n - 3*d, -2*d - a = -n + j*d. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.02 + 0.05. Let v = -0.07 - d. Let g = -1.8 + 2. Which is the nearest to v? (a) -0.1 (b) g (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3794714 times 5?\nAnswer: -18973570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 28765.0433 to the nearest one thousand.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 24591430819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 10*y**2 - 7*y + 7. Let g(s) = -s**2 + s - 1. Calculate -28*g(t) - 4*x(t).\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -51*w**2 + 18*w - 54. Let p(c) = c**2 - c + 2. Let a(l) = 18*p(l) + t(l). Find the first derivative of a(j) wrt j.\nAnswer: -66*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (1 + 10 - (-59 - -63)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -10*x + 6. Let q(n) = n**2 + 2 + 1 - 1 + n - 1. Let h(f) = 2*q(f) + s(f). What is v in h(v) = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2*k = 1628, -2710 = 5*z - 9*k + 13*k. Let p be 278\/z - 60\/(-130). Which is the biggest value? (a) 1 (b) p (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2962, 5981, 9064, 12211, 15422?\n\"Answer: 32*v**2 + 2923*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**6\/360 + 7*n**5\/120 - n**4\/24 + 161*n**3\/6 - n**2 - 1. Let b(s) be the first derivative of o(s). What is b(-5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1*sqrt(2560) - (sqrt(480) + sqrt(480)*-2 + sqrt(480))\/sqrt(12)))\/((sqrt(480)\/sqrt(192))\/(1*sqrt(605) + sqrt(5))).\nAnswer: 1536*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/2 and -91\/920.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 + 0)\/((-1)\/(-7))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3 - 52608*i**2 + 691742565*i + 4152349494.\nAnswer: (i - 26307)**2*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - 3*i + 4. Let v be (-25)\/(-9) - (-12)\/54. Suppose c = -2*m - v, 0*m + 3*m + 12 = -4*c. Let s = -3 - m. Determine k(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i - 15 = -6*i. Let a be 4158\/4 + -1 + i\/(-10). Let b = a - 98. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -36*d**3 + 11*d**2 - 45*d - 20. Let b(v) = 21*v**3 - 6*v**2 + 23*v + 11. Determine -11*b(r) - 6*n(r).\nAnswer: -15*r**3 + 17*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 2. Suppose u - z = -0. Solve -y + 8*r - 3*r + 2 = 0, 0 = -u*y - 2*r - 8 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of j**4\/4 + 7*j + 3. Differentiate f(i) with respect to i.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6871 + 6965. Calculate the remainder when 283 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 12*d + 15*d - 280 = 0, -175 = -5*k + 2*d. Solve -k*p - 558 = 27*p for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 103 - 2?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4*v + 92 = 0, -3*v + 39 = -3*l - 0*v. Let y = -17 - l. Which is the nearest to 1? (a) 5 (b) y (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 p, 1 u, and 1 n when four letters picked without replacement from {p: 1, m: 1, n: 1, u: 1, d: 2, r: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/3 (b) 5 (c) 9 (d) 7\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1808*u = -1539*u + 3228 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + (-57)\/12)\/((-74)\/24 - -3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -340*a**2. Let c(d) = d. Determine o(c(m)).\nAnswer: -340*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 58 and 3683.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1378 - -1381. What is the second biggest value in k, -2\/53, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -69*u - 119. Calculate the remainder when 1834 is divided by g(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37087510 to the nearest integer?\nAnswer: 6090","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1440 - -1424 - (-11)\/(-1).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 b, and 1 u when three letters picked without replacement from {q: 2, u: 2, f: 1, i: 1, n: 1, b: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 1)*4\/4. Let t(s) = s + 1. Let a be t(j). What is the greatest common divisor of a and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 4. Let c be 42\/8 - 20\/4. What is the closest to 1\/2 in j, c, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -3\/8 (c) 193\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 489368*w + 1262419?\nAnswer: 489368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d*h**4 - 2*d*h**2 - 525*d + 3*h**4 - 6385*h**3 - 3*h wrt h.\nAnswer: 48*d*h + 72*h - 38310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - (0*(-4)\/(-4))\/(-1). Let n be ((-6)\/(-18))\/(m\/(-12)*-1). Solve 0 = 7*y - n*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q**2 + 1. Determine w(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32\/39277 - 302198102\/1060479. Let g = y + 285. Is g <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 2:02 PM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 48\/(-16) - (-1 - -14). Calculate the remainder when 138\/7 + c\/(-56) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -277517*j + 138910*j + 138862*j.\nAnswer: 255*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*u - 23 = -158*u - 4*x, -4*x = 3*u - 11 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 689 = -2374. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**2 + 4*z + 2. Let l be i(-4). Calculate the highest common factor of 4 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2919\/5 + 584. Factor 2\/5*w**3 - 1\/5*w**4 - 1\/5*w - 1\/5 + 2\/5*w**2 - g*w**5.\nAnswer: -(w - 1)**2*(w + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((-1*sqrt(66)*-6 - sqrt(66)) + sqrt(66)))\/(sqrt(18)\/sqrt(432)).\nAnswer: 216*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*a - 3*y, -2*a + 4 = -7*y + 4*y. Solve -2*h + a*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -3\/25*r**5 + 1\/5*r**3 + 1\/10*r**6 - 4 - 3\/20*r**4 + 0*r**2 + 0*r. Factor h(p).\nAnswer: 3*p**2*(p - 1)**2*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 5*y - 7. Let l be w(6). Let q be (1 - (2 - l))*1. Is (1\/q)\/(8\/(-16))*3163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52788164 divided by -10076?\nAnswer: 5239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 159*n**5 - 64*n**5 - 67*n**5 + 623*n**2 wrt n?\nAnswer: 1680*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d\/(d\/d**(1\/3)*d)))\/(d**(-1)*d))**(5\/9) assuming d is positive.\nAnswer: d**(40\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/13794 and 23\/635316.\nAnswer: 132781044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-105) + (-115)\/105.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/8 - 6311*x\/4 - 72841.\nAnswer: (x - 12668)*(x + 46)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4 - -0.1. Let y = d - 1.5. Let n = 4.4 + -4. Which is the smallest value? (a) y (b) 2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -4*w + 42, 19 - 7 = 2*w + 2*g. Let t be (w\/(-6))\/(10\/(-15)). What is the third derivative of z - z + z**4 - z**t - 2*z**2 wrt z?\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, u: 1, b: 2, l: 1, f: 1, s: 1}. Give prob of sequence fnnl.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a - 15. Let m be s(-18). Suppose g - 566 = 2*n + n, 4*g - 2249 = -m*n. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) + (-3*sqrt(114) + sqrt(114) - sqrt(114) - sqrt(114)))\/sqrt(3))\/sqrt(2).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 10:29 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y**2 - 4*y**2 + y**2)*(-4*y**2 - y**2 + 0*y**2) to the form r*y**2 + q*y**4 + h + x*y**3 + z*y and give q.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*w = -3*g + 18*w + 32, 2*g - 3*w - 23 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eel when three letters picked without replacement from {e: 7, v: 2, l: 1}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1848*s + 1841*s + 1840*s + 1839*s - 7367*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/((2 - 4)\/82). Let f be (1 + z)*3\/2. Suppose 0 = 5*y + 3*x - f, 2*y + 5*x - 76 = 59. Is y a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) -2\/11 (b) 0.07 (c) 0 (d) -3\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 23*u - 100. Suppose 5*g = -0*g - u*j + 1714, j + 1734 = 5*g. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 156*p + 27 + 22 - 157*p - 49. Let i(h) = -13*h. Calculate i(r) - 3*t(r).\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(1584) - -5*(sqrt(1584) + 1 - sqrt(1584))) + -4)**2*1.\nAnswer: 24*sqrt(11) + 1585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 6 = -5*n. Suppose -4*g + 44 = -n*f, 2*g - 10 = 5*f + 26. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -85, -143, -177, -175, -125, -15, 167, 433?\n\"Answer: 2*d**3 - 72*d - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 5*l - 164411 = -164322, 5*l = -95 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 7316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -285 - -325.3. Let o = -113 + 68. Let c = o + h. What is c rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 151913736 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 101\/67 - 1\/134. Let h = -12577\/22 - -6294\/11. Suppose 0 - l*s**3 + 2*s + 0*s**2 + h*s**4 = 0. What is s?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 124*s**2 + 2*s - 225. Give t(124).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 (base 10) in base 14?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -6617\/3 at most as big as -2206?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 165873 - 116966. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/12 and (-10)\/(-65) + (-73)\/(-286)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**4 + 8494*r**3 - 3695818*r**2 + 383490954*r = 0.\nAnswer: -4653, 0, 203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.46 and -399.\nAnswer: -396.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -n**4\/12 - 13*n**3\/6 - 3*n**2 - n. Suppose -19 = 4*f + 5*r, -58 = 7*f - 4*f - 5*r. What is the tens digit of y(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from dwdddddddddddddddwdd?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -10. Which is the closest to w? (a) 4 (b) 1\/4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 1136?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -351*k**5\/20 - 104*k**3\/3 + k**2 - 85*k. Find the first derivative of s(c) wrt c.\nAnswer: -2106*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of 513*u**2\/2 + 49*u - 78. Is h(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16074192 divided by -4.\nAnswer: 4018548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2489 times -0.1?\nAnswer: 248.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1808 - -2012. Is 4\/6 + b\/12 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22\/17 in 4, 0.1, -1\/2, 1\/102, 3\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 p when three letters picked without replacement from {k: 2, w: 3, p: 3, q: 1, j: 4, r: 3}?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1470.52 minus -0.877243?\nAnswer: -1469.642757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 56 = -25*f + 7*f. Let a(q) = 17*q - 30. What is a(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 9*r - 2 - 7 - 1 - 1. Let g be d(-8). Let x = 41\/45 - 10\/9. Which is the closest to 0? (a) 0 (b) g (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 7*u**2 + 7*u - 11. Let t be r(7). Solve 5*s - 33 = -t for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*w - 11*w = 4*f + 58*w - 36, 58 = 2*f + 7*w for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l**3 + 14*l**2 + 11*l. Let n(u) be the third derivative of 2*u**6\/15 - 71*u**5\/60 - 9*u**4\/4 - 125*u**2. Let z(g) = -2*n(g) - 11*q(g). Give z(13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15)\/(-10)*-2*12\/(-18). Suppose -29*o + 33 = 4*w - 32*o, -3*o = -v*w + 21. Solve 4*b + w - 18 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g - 17*g + 1054 = 0. Calculate the highest common factor of 6 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38615444 to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 54674237*c. Let j(s) = -5*s. Determine j(t(l)).\nAnswer: -273371185*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1096940039 or 1096940038?\nAnswer: 1096940039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1038*f + 12204 + 41772 = 0 for f.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -5. Let y = 128 + -129. What is the nearest to y in -2, -1\/5, k?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*x**2 + 88\/3 - 16*x.\nAnswer: 2*(x - 22)*(x - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l**4 + 4305*l**3 - 924485*l**2 - 937425*l + 1857610 = 0.\nAnswer: -2, 1, 431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 520 = 4*m. Let w = -2073\/8 + m. What is the common denominator of -75\/4 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 12*f + 19. Let m be k(5). Suppose z + 4*t + m = 5*z, 2*z + 4*t = 72. Solve -2*h + 5*p = -z, -2*h + 0 = -p - 10 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 1) + 5 + 3 + -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p + 82. Let n(r) = -3436*r**2 - r. Calculate i(n(o)).\nAnswer: 3436*o**2 + o + 82","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 605 and 495?\nAnswer: 5445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1197794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12396533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzj. What is prob of picking 2 z?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 363336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 - -4.8. Let i = 6 - f. Which is the nearest to 1? (a) i (b) -2 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + 12 = 9*n. Suppose 169958 + 226042 = -n*z. What is z rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 412174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 37249922 to the power of 1\/3, to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d = -14*d - 2*n - 34, -5*d + 45 = -n. Suppose -465 = -5*a - y + 6*y, -103 = -a + 3*y. Calculate the greatest common factor of d and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 4 - 3\/3. Find the second derivative of 0*k - k - 3*k**4 + c*k**4 + 2*k**4 wrt k.\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 7*m + 1. Suppose -7*d + 9 = -q - 2*d, 3*d - 11 = -5*q. Give h(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of 0*a**4 + 0 + 5\/6*a**3 + 2\/15*a**5 - 10*a**2 + 0*a. Find the first derivative of u(c) wrt c.\nAnswer: 16*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*j - a, -j + 10 = -10*a + 14*a. Suppose 0 = j*h - 69 - 5. Is h even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -346400 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 6:10 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**2 + 1333 - 1333.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9627 - 54086 - 28528 = -37*w. Is w a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rlfuoduflfl. What is prob of sequence lu?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 5382450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -7*u**2 + 25*u + 23. Let l(h) = -3*h**2 + 12*h + 11. Let m(q) = 4*k(q) - 9*l(q). Let c be m(-6). Let i = -1 + 5. Sort c, 0.1, i.\nAnswer: 0.1, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - (-32)\/2) + 1 + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4723.52 - 24.48. What is the nearest to 0.1 in y, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 - ((-4)\/(-2) - 19). Suppose -5*m - 4 = -3*s - 88, 2*s = -m + x. What is the remainder when m is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -108 - -859. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*b - 1241 = -372. Solve 4*p = -f - b, 4*p + 28*f = 29*f - 5 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1304144 (base 5) in base 10?\nAnswer: -25549","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -417*u**3 - 212.\nAnswer: -1251*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.05 - 2.29. Let i = 1.14 - o. Let z = 507\/1799 - -1\/257. What is the smallest value in z, -2\/3, i?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 minus 27.69?\nAnswer: 4.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 64353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 46398379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -15*t - 2. Let i(o) = 3*o + 1. Let m(l) = -l. Let s = -2 + 1. Let k(v) = s*i(v) + 5*m(v). Determine 11*k(c) - 6*p(c).\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.2471 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2409*x - 8353*x - 17636*x to the form g + d*x and give d.\nAnswer: -23580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 + 5*b + 2. Let f be j(-3). Find the second derivative of 1856*u**5 - 42*u - 4*u**2 - 1821*u**f + 4*u**2 wrt u.\nAnswer: 700*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -8*m + 241. What is s(25)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - u + 1 = 2*u, 0 = 2*i + 4*u + 2. Suppose -3*o = -t + i - 4, -3*t - o = -21. Let b = -50 + 53. Solve -h - b = -t for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2843216 is divided by 79?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 12*b + 32. Let k = 225 + -115. What is the remainder when k is divided by f(12)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -19*j**5 - 5*j**4\/6 - 7*j**2 - 3*j + 152. What is the third derivative of q(c) wrt c?\nAnswer: -2280","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*g = 24. Suppose 3*c - g*c + 6 = 0. Suppose -3*k + 1 = d, 5*d = -c*k + 12 + 6. Solve 0 = -4*q + 3*b + 10, -d*q + 0*q + 18 = b for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31 and 339667.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - ((10 + 13 - 14) + (1 - 9)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/5*5 - -213. Suppose 4*r - 4*c - q = 0, 3*r - 4*c = 119 + 41. Is 6 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1242853.\nAnswer: 17, 29, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12416 is divided by 565?\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(2\/7)*y*y)\/y)\/y**0*(y**(2\/3))**(-20))\/((y**(-3))**(-27))**(-7\/6) assuming y is positive.\nAnswer: y**(3463\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = 26*j - 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 127217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 559*v - 5593. Give m(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13870301591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16)\/(-56)*(-4)\/496*2. Which is smaller: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-380)\/(-180) + (-1)\/9. Let l(y) = 5*y**2 - 2*y + 1. Calculate l(z).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g + 3. Suppose p + 5*q = 9 + 8, 4*q - 13 = -p. Let x be r(p). Solve -u - u = x for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 352 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -204 (base 5) in base 2?\nAnswer: -110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 0, -60, 1, 22 in decreasing order.\nAnswer: 22, 1, 0, -1, -4, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (77 + (33 - 131) - (-4 + -1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110010011100010010 (base 2) to base 4.\nAnswer: -2302130102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (-5 + 8)) + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 h when three letters picked without replacement from {h: 2, t: 2}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/22 and 101\/205192515?\nAnswer: 410385030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1012212 (base 3) to base 6.\nAnswer: -4035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 4550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 103480 and 2080.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/9, -0.5, 0.03, 2, 0.2 in ascending order.\nAnswer: -0.5, -4\/9, 0.03, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 43760197241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 299*n - 79*n + 3694 = 12934 for n.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 267.6929 decades?\nAnswer: 2676.929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - 2*h + 2. Determine c(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -237*y**2 + 4*y + 27. What is n(2)?\nAnswer: -913","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ka when two letters picked without replacement from fjkjkakaajkafkjrk?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 1 = 0, 3*m = 2*j + 5 - 1. Let y = m + 1. Let o = y + 7. What is the lowest common multiple of o and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 89 + -86. Suppose -3*m + 8 = v*s - 4*m, -3*s = -4*m + 4. Let h(i) = -i**2 + 6*i - 5. Calculate h(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/5? (a) 1.6 (b) -195 (c) -5 (d) 5 (e) 1\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120 (base 3) to base 8.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 4*n**2 + 25*n + 11. Calculate m(6).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j = -13*j - 3*c - 39, -15 = -j + 2*c. Let m(f) = -j + f + 11. Let d(g) = 41*g. What is d(m(u))?\nAnswer: 41*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 + -24. Suppose f + 5 = 2*f. Sort r, -4, f in descending order.\nAnswer: f, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of 10*b**2 + 0*b + 0 + 1\/240*b**6 - 1\/140*b**7 + 1\/40*b**5 + 0*b**3 - 1\/48*b**4. Suppose y(a) = 0. Calculate a.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44331381*b**4 - 1209369*b**2 - b.\nAnswer: -1063953144*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 5*v - 29. Suppose j = 3*w + 3 + 59, j + 4*w = 34. Suppose -3*d = 2*d - j. Calculate the remainder when v is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3272*h - 3681 = 3281*h. Which is smaller: -410 or h?\nAnswer: -410","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and 9292452249.\nAnswer: 9292452248.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1550, 1792, 1958, 2042, 2038, 1940, 1742?\nAnswer: 1438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 360 and 1035.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (60\/(-14))\/((-6)\/(-504)*-3). What is the highest common divisor of 10 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2315 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002221 rounded to 4 decimal places?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 647*o**2 - 1313*o**2 + 657*o**2.\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 7*w**2 + 6*w + 4. Let d(k) = 295*k**2 + 255*k + 170. Let t(x) = 6*d(x) - 255*o(x). Let g(b) = -2*b + 2*b + 2*b. Give t(g(n)).\nAnswer: -60*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 231 and 1737?\nAnswer: 133749","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*p - 356*p - 2088 = -341*p for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - l + 99 = 0, 2*q - l - 17 - 40 = 0. Solve q*o - 30*o = 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 159156 + -3183781\/20. Let x = -33 - d. Are -1 and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/10 + (-10881)\/465\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -32, -0.4, -116052, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 225*f - 508. Let x(w) = -639*w + 1525. Calculate 6*x(c) + 17*z(c).\nAnswer: -9*c + 514","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84660.\nAnswer: 2, 3, 5, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a kilometer in meters?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*x + 416*x = -20*x - 1950 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22449356\/5 or 4489871?\nAnswer: 4489871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55 + -55 - (0 - (8 + -3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 46 - 4?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - d**2 + d - 16. Let g be z(0). Let h(a) = a**2 + 23*a + 34. Let b be h(g). Let t = b - -81. Solve -y + 2*y = t for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*-10.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22.872 - 20.872. Which is the nearest to 5.9? (a) t (b) -3 (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 122.6 + -4.6. Let r = -123 + j. Let c = 0.6 + -0.1. What is the third biggest value in r, c, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/11 (b) 2\/21 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5494 + -2787. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 819*d + 12249 - 44190 = 0 for d.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 12) to base 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 14, -747 in increasing order.\nAnswer: -747, 0.1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -831*d + 828*d + 21 = -3*r, 0 = 4*r - d + 16 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 9*n**2 + 11*n - 8. Let q be w(10). Suppose 4*a - 12 = -q*a. Factor 10\/7*k + 8\/7*k**a + 4\/7 + 2\/7*k**3.\nAnswer: 2*(k + 1)**2*(k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is ba8ca + 4?\nAnswer: ba901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*2\/(-20))\/(2\/(-10)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -151 - -5257?\nAnswer: 5106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + g - 3. Let r(u) = -3*u**2 + 4*u - 4. Determine 2*q(n) - r(n).\nAnswer: n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u**2 - u**2 + 4*u**2)*(3*u + 2*u - 4*u) - 2 - u**3 + 2 + 1 - 1 + 2*u**3 + 324*u**3 - 1131*u**3 - 2035*u**3.\nAnswer: -2843*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 778319 is divided by 776.\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 216816 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(1\/14))*n)**(-44)\/(n*n**(-21)*n\/((n*n**8*n)\/n)) assuming n is positive.\nAnswer: n**(-90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-552)\/368*(-6)\/(1 + -2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -6*b + 30. Calculate the remainder when 22 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 0, 10, 26, 48, 76?\n\"Answer: 3*r**2 + r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/55 and -44\/65.\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308*w - 231 = -329*w for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56341 and 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2 + sqrt(15)\/sqrt(5).\nAnswer: sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6 - -5 - (-2 + -1). Suppose -54 = -a*o - o. Suppose 2*l + 4 = 4*u, 8*u + 5*l = 4*u + o. Solve w = -0*w + u for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1049601387, 2099202775, 3148804163?\n\"Answer: 1049601388*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -187*t + 7 - 33 + 6 + 20 to a + u*t and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1017126178?\nAnswer: 2, 508563089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 125 + -122. Suppose 12 = -4*a, 0*a - o*a = -4*r + 21. Solve -1 = -2*v + 5*b, -r*b + b = 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40 + 39. Let p(s) = 26*s**2 - 5*s - 3. Let b be p(w). Solve b = -4*r + 4*c, r - 2*c - 4 = -15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 10*h + 8. Is i(4) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12.2 + -11.7. Let h = -71136.6 + 71137.100021. Let s = h - b. What is s rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*c**2 + 31*c**2 - 411*c**2 in the form b*c**2 + r + n*c and give b.\nAnswer: -397","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five quarters of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.27 + -17.73. Let u = j + 13. What is the second smallest value in u, 0.4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10590152, 21180328, 31770502, 42360674, 52950844, 63541012, 74131178?\nAnswer: 84721342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of x**4\/12 - 11*x**3\/6 - 6*x**2 - 3*x. Let z be w(11). Let h = z - -7. Let q(f) = f + 6. What is q(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 164 and 3516103.\nAnswer: 3516267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 4:52 AM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(234)\/(sqrt(36)\/sqrt(6)))\/sqrt(3) - (-4*(sqrt(13) + -1) + (sqrt(13) - (-5 + sqrt(13) + 0)))**2.\nAnswer: -289 + 73*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38.7 - -41. Let q = x - 1.3. What is the closest to q in -1, -1\/9, 4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -170 + 175. Let z(y) = -x + 5*y + 0 + 7 - 2 - 7 + 6*y**2 + y**3. Determine z(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -q + 5, 3*p + 1 = 3*q + 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*m = 87*m + 392 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 7 = n. Let y(t) = t**3 - 5*t**2 + 3*t + 5. List the prime factors of y(n).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1227\/7 + -2467\/14. Find the common denominator of j and 55\/301.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -10*k**2. Let g be t(1). Let v be 59\/5 + (-2)\/g. Suppose -q + 0*q + 3*m + 21 = 0, 3*q - 2*m - 70 = 0. Calculate the highest common factor of q and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*t + 17*t + 8*t - 2*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**3 + 42*t**2 - 64*t - 13. What is o(19)?\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2342335\/332 + -7055. Let x = -2\/83 - n. Which is the closest to -0.1? (a) 1\/2 (b) -5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or 17?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 19*x**2 + 174*x + 16. Determine q(3).\nAnswer: 709","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 317605423*-1.\nAnswer: -317605423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 8*o - 36. What are the prime factors of a(11)?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -118, -176, -234, -292, -350?\nAnswer: -408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of l**5\/35 - 19*l**4\/4 - 135*l**3\/7 - 407*l**2\/14 - 136*l\/7 - 152. Suppose d(s) = 0. What is s?\nAnswer: -1, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -93987 + 3570541\/38. Let f = g - -51\/2. Let h = -2760 + 2760.5. Which is the second smallest value? (a) -0.2 (b) f (c) h (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -4, 705\/4.\nAnswer: -4, -0.1, 705\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 14709105 and -4?\nAnswer: 14709109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 10. Let q = 3.99 - l. Let g = 0.39 - q. Which is the second smallest value? (a) g (b) -1\/8 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s + 5. Let v be w(-2). Solve 0 = v*y + 6 + 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5\/33 - 197\/66. Does -2 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - (sqrt(84)*2 - sqrt(84)))\/sqrt(7) + sqrt(12))\/(sqrt(4) - (sqrt(4) - sqrt(44)\/(sqrt(22)\/sqrt(2)))).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -3*w**2 - 267*w + 546 = 0.\nAnswer: -91, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 13\/5 (b) 1 (c) 0.1 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -6.7005 * -0.5\nAnswer: 3.35025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - 0 - -2) + 17 - 23.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -6*f**2 + 4. Let m(r) = 11*r**2 - 7. Let p(i) = 7*b(i) + 4*m(i). Let w(c) = 10*c. Calculate w(p(x)).\nAnswer: 20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 + 2.1. Let f = -208\/493 + 2\/29. Let o = f + 131\/34. Sort j, 4, o in increasing order.\nAnswer: j, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -106\nAnswer: 3\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**14)**(-2\/39) assuming s is positive.\nAnswer: s**(-10\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 12:14 AM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -24*f**3 + 4*f - 54*f**3 - 3 + 14*f**3. Let s be k(2). Let w be 1 - 0 - (4 - s). What is w rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 - ((-3 - (-7 - 4)) + -5 + -10)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -210, 3\/8, 47\/3, 1 in decreasing order.\nAnswer: 47\/3, 1, 3\/8, -210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 9 = -3*p, 48 = -4*p - 2*n + 34 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 5*j - 16. Let l be d(9). Let r = l + -28. Suppose -10*o = 3*v - 14*o - 61, -4*o - 16 = 0. What is the highest common divisor of r and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -78 by 21051.\nAnswer: -26\/7017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llyylllllyylllllllll. What is prob of picking 3 l?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -8 - 12. What is the highest common divisor of 130 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 1, -2, 0, -6 in descending order.\nAnswer: 1, 1\/2, 0, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccrrcrv. Give prob of sequence rrcr.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -54, -221, -506, -915, -1454, -2129, -2946?\n\"Answer: -z**3 - 53*z**2 - z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/((-880)\/1560318) - 2\/(-5). Let y = 7094 + c. What is the common denominator of y and 87\/16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 5. Let l be 669\/(-1115)*20\/(-3). Put b, 0, l, 2 in descending order.\nAnswer: l, b, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**3 + 79280 - 3*o**3 - 79278 + 11*o**4 - 3*o to t*o + x*o**2 + u + b*o**4 + f*o**3 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 44*r**2 - 221. Let o be b(44). What is the closest to 2\/7 in 3, 0.1, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -27567*o + 1681597. What is j(61)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -345 + 104. Let m = -236.4 - z. Which is the fourth smallest value? (a) 3 (b) -4 (c) 4 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*k + 20, -98*k + 99*k = -n + 23. Calculate the greatest common divisor of n and 6432.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from nnnnpnnpnp?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y - 2*o + 5, 2*o + 19 = -7*y + 4*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/2)*d)\/d)**(-2\/33) assuming d is positive.\nAnswer: d**(-1\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 6*m**2 - 54*m + 272. What is z(9)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.2 rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 1 = -7. Let j = 16 - z. Find the common denominator of 3\/(-6) + 72\/j and -15\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -273576.1 times -0.087\nAnswer: 23801.1207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4168364 or -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/24)\/((-5)\/260)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 - -32. Let i be 8305 + g - (-8 - -12). Round i to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2 + 16 = 3*g, -5*g = -4*y - 12. Suppose -4*x - x = y*m - 31, 5 = -5*x. Does 13 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, -245\/222, -5?\nAnswer: -245\/222","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 1, 5\/18, -2\/9, 0.076, -1\/18?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60*(-14)\/140)\/((-4)\/(-22)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**2 - 2*x + 2. Let v(d) be the first derivative of d**4\/4 + 5*d**3\/3 + 5*d**2\/2 - 5*d - 9. Determine -5*m(a) - 2*v(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2*s + 143 = -348, -5*w - 2*s = -499. What is the highest common divisor of 18 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2055.57 - 2051. Which is smaller: o or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 38\/171 + 248\/18. Suppose -v - 8 = -o. Calculate the remainder when v is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -13*p - 32*p + 20*p - 180*p. Let i(r) = 19*r**2. Calculate i(m(z)).\nAnswer: 798475*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 11:55 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/10)\/(5\/(-4)*2)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) 3\/4 (c) 2\/5 (d) 0.103 (e) -0.51 (f) 33\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104089?\nAnswer: 104089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -53318 to the nearest one thousand.\nAnswer: -53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -5*o + o + 3*o**2 - 4*o - 6. Let m be z(5). Suppose 19*x - 454 = 78. Is x != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4953932 is divided by 107690.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3060 is divided by 1500?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**3 - s**2. Let z(p) be the first derivative of p**4\/4 - p**3\/3 + 43. Determine 2*d(k) - 6*z(k).\nAnswer: -2*k**3 + 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/5, -3, -34, 1\/2, 12?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 1. Let t = b - 2. Suppose -5*n = -2*m + 53, t*n + 91 = -2*m + 6*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 673 - 423. Let w = z - 249.8931. Round w to two dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75406?\nAnswer: 2, 37, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1269 = -437*j - 916 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*l**2 - 37*l**2 - 17*l**2 - l**2 - 2*l**2 + 6*l**2 + (l + 2*l - 4*l)*(2*l - l + l) - l**2 - l**2 + 0*l**2.\nAnswer: -60*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -8*t. What are the prime factors of h(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84796 and 24940?\nAnswer: 423980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-26)\/(-24))*(-36)\/(-72)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11318754 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 3*j - 2. Let p be c(1). Solve 0 = -4*x - p*t - 1 - 1, -4*x = 5*t + 17 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v - 3. Let g be b(-8). Suppose g*a = a. What is the derivative of -u**3 + a - 1 - u**3 - u**3 wrt u?\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 5*b**2 + 59*b - 11. Suppose 20*j = 9*j + 154. Is k(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*h = -32*h - 96. Suppose 30*r + h = 28*r. Which is greater: r or -25?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 3*k**2 + 11*k - 10. Let u be s(4). Let y = -13 + u. Solve -2*i = -4*i, -y*d - 10 = 4*i for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.259 + 0.009. Let i = g - -44.15. Round i to the nearest integer.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 579*v. Let y(n) = 2*n. Determine t(y(o)).\nAnswer: 1158*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 176 divide 49332099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4 + ((sqrt(27) - (sqrt(162)*2)\/sqrt(6))\/(sqrt(9) - sqrt(36)*-5))**2)*1.\nAnswer: -2886\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**4 - x**2 - x**4 + 6*x**4 + (-1 + 1 + 5*x**4)*(-3447 + 4026 - 2980) in the form a*x**2 + m*x**3 + u*x**4 + w + g*x and give u.\nAnswer: -12002","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1\/25, -2\/11, 9.3 in descending order.\nAnswer: 9.3, 1, -1\/25, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.04 - 9. Let d = 1.69 - v. Let l = d + -2. Round l to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*v + 44*v**2 - 46*v**2 - 14*v in the form o + l*v**2 + d*v and give d.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 153423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is d (base 15) in base 5?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/11)*x**(2\/11))**35*x\/((x*x**(-4)\/x)\/x)*x**(-2\/13)\/x*((x\/(x\/((x*x**(-3\/5)*x)\/x*x)))\/x)\/x*x\/x**(-5) assuming x is positive.\nAnswer: x**(666\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -20*q**2 + 18. Let s(f) = 21*f**2 - 17. Let l(r) = 4*s(r) + 5*w(r). What is the first derivative of l(k) wrt k?\nAnswer: -32*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*c - 1 = 0, -2*y + c = 2*y - 7. Suppose -q = q + y. Put 1, q, -6 in increasing order.\nAnswer: -6, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8115161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -103 + 93787?\nAnswer: 93684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5552667 and -0.4.\nAnswer: -0.22210668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-11)\/20)\/((-6)\/24) - -2. Suppose 4*m + 81 = -5*u - 12, 2*u - 2*m = -30. Let c be (-4)\/16 + u\/(-4). Which is greater: c or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 327249555.\nAnswer: 3, 5, 239, 91283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 43*j = -27060. List the prime factors of j.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d - 63 = 47 - 30 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7084328?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(448) - (sqrt(448) + 2 + 1 + sqrt(448)))*-4 - (sqrt(448) + sqrt(448) + (sqrt(448) + -2 + sqrt(448) + sqrt(448) - sqrt(448)) + -5)*-3) + 0)**2.\nAnswer: -2304*sqrt(7) + 114769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260929 is divided by 3624?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**3 + 4*s - 6*s + s - 2*s**2 + (-14 + 14 + s)*(-218*s**2 + 250*s**2 + 0 - 6).\nAnswer: 31*s**3 - 2*s**2 - 7*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2187109 is divided by 789.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8 + 3)\/5 - (-2)\/2. Let w(d) = -2*d - 2. Let y be w(s). Is 15 a factor of 2 + ((-312)\/(-5) - y\/(-5))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.1, 6, -45, -1, 0.2, 4?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-56 + 56 + 25*t**3)*(2 + t - 6 + 15).\nAnswer: 25*t**4 + 275*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f + f - f**4 + (2*f**2 + f - f)*(-4*f**2 - f**2 + 4*f**2) - 6*f**4 + 6*f**4 + 3*f**4 - f**3 - 2*f**4 + f**3.\nAnswer: -2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 88232645 to the nearest integer?\nAnswer: 9393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5520*j - 53669 = 56731 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 3)*(-3*t - 5*t + 6*t)*(3 - 1 + 1).\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13519805.\nAnswer: 5, 13, 207997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -281\/2, 13\/3, -25 in ascending order.\nAnswer: -281\/2, -25, 13\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -3\/2*i**2 + 9 + 0*i + 5\/3*i**3. Find the second derivative of l(z) wrt z.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 582 = -4*v + v - 3*w, -2*v = -4*w + 358. Is 17 a factor of 14\/v + (-127257)\/(-81)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 494 - 321 = 5*v, -n + 327 = -2*v. Let q = -194 - 46. Let h = v - q. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s**3 - 221*s**2 - 155*s - 1001. Calculate f(-73).\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106 - 114 - 32275*x + 32150*x.\nAnswer: -125*x - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 79*u - 163*u - 5*u**2 + 84*u. Let z(y) = -7*y**2. Determine z(d(h)).\nAnswer: -175*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 9*u - 3. Let x be p(-3). Let m = 6 - x. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 + -219. Let y be (6 - 0)*x\/24. Let u = y - -62. Which is smaller: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 29*k - 33. Let z be x(28). Let d(q) = -28*q + 16. What is the hundreds digit of d(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j**2 - 55*j - 1696. Calculate the smallest common multiple of 81 and o(-22).\nAnswer: 26082","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1405.02 + 65?\nAnswer: 1470.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**2 + 6177*q - 55350 = 0.\nAnswer: 9, 2050","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-436)\/2943*(-3)\/4?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**4 - 732*f**3 - 65026*f**2 + 201720*f = 0. What is f?\nAnswer: -205, -164, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1816938912?\nAnswer: 2, 3, 23, 822889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1575140399?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 158, 156, 154, 152, 150, 148?\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 22*v + 157. Let f(g) = -48*g - 313. Give 6*f(o) + 13*q(o).\nAnswer: -2*o + 163","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 19222 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 6*g + 52. Let v be l(-8). Suppose 4*c + 3080016 = -4*o, v*o = -c + 5*o - 769996. What is c rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 137.1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 4 - w + w**2 + 3 - 5. Let n be s(2). Suppose -n*t + 0 = 4. Which is smaller: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 - (-2)\/6*-3. Solve -h - 8 = k*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 2*t - 8, -m - 3*t = -0*t + 8. Let x(j) = -j - m + 0 + 2*j. Let y(i) = -1. Let b(q) = -x(q) + y(q). Let h(o) = -o. What is h(b(a))?\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6260004 to the power of 1\/3, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - -3) + -3 + 60 + (-4 - -9)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 u, 1 r, and 1 z when four letters picked without replacement from rcoozruoouooogroog?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**2\/9 + 22*f\/9 + 20\/9 = 0. Calculate f.\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 571157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o - 3*o + 3*i = 0, i = -5*o - 30 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 2:20 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/16)\/r*r**3)\/(r*r**1\/r)**8 assuming r is positive.\nAnswer: r**(-97\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 126. Calculate the least common multiple of h and 2.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 0, 2*u - 49800000 = 3*q - 0*q. What is q rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = h + 5*m + 9, -2*h + 14 = -4*m. Put h, 11, -2 in decreasing order.\nAnswer: 11, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6405 - 6402. Let r be 1\/((-1)\/(-7)*1). Put 2, t, 2\/5, r in decreasing order.\nAnswer: r, t, 2, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 775 - 1215. Let z be (28 - 7)*o\/(-14). What is z rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/78)\/((-26)\/(-36)*3).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b**2 + 2*b**2 - 3*b**2)*(140*b - 428*b - 65*b) + 5 + 2*b**3 - 5 in the form y*b**2 + a*b + o*b**3 + s and give o.\nAnswer: -351","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 6*q + 88. Suppose 2*y - 2 = q. Solve 2*h + 3*t + 10 = t, 0 = -y*h + 5*t + 25 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-96)\/160 + (-366)\/(-10). Suppose -16*r - 2*r + f = 0. Suppose -1\/4*h**5 - 1\/4 + 3\/4*h**4 + 3\/4*h - 1\/2*h**3 - 1\/2*h**r = 0. What is h?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/23943 and -85\/7634?\nAnswer: 526746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(1\/2)*j)**(-11))**(-5\/11)\/((((j*(j*j**4)\/j*j)\/j)\/j*j*j*j*j**(1\/14))\/(j\/j**(-1\/2))**(23\/3)) assuming j is positive.\nAnswer: j**(237\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 10*q**2 + 11*q - 1. Is k(10) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8 + -3)*(-4)\/(-4). Suppose 35 = j*u - 40. Solve -3*q + 0 + u = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -2\/15, 1.1, 1\/3, -65, -8?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-94)\/(-4 + (-5)\/(15\/(-6))). Let x = 48 - b. What is the nearest to 2\/9 in x, 0.1, -1\/10?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -65 + 92. Does 27 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.638 and 3838533092?\nAnswer: 3838533092.638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v**3\/8 + 3*v**2 - 51*v\/8 + 13\/4 = 0. Calculate v.\nAnswer: -26, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 219 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -92 - -54. Let t = -127 - -89. Let q = p - t. Is q less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -170*n + 514. Let s be q(3). Let b(x) be the first derivative of -2*x + 2 + 7\/2*x**2. Let h(a) = 13*a - 3. Calculate s*h(d) - 7*b(d).\nAnswer: 3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 4*j**3 - 3*j**2 - 2*j + 4. Let u be i(6). Suppose 0 = -3*z - z + u. Is z a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49117 + -18440. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-72)\/(-324) + (-60)\/27. Let w(o) = o**2 + 6*o + 7. What is w(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/11 (b) -2\/5 (c) 0.4 (d) -1 (e) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1221 divide 8202641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21228.68 milliseconds in microseconds?\nAnswer: 21228680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -134 (base 5) to base 2.\nAnswer: -101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9644 + y + 9644.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6775, -6146, -4423, -1054, 4513, 12830, 24449?\nAnswer: 39922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t + 2*t**3 - t**4 + t**2 - 3*t**3 - 9*t**4 + 3 - 5 + 8*t**4 in the form r + b*t**2 + y*t + h*t**3 + u*t**4 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 128, -3, 0, 33 in descending order.\nAnswer: 128, 33, 4, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(0\/1)\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 795*a**3 + a - 2 - 2798*a**3 as k*a**3 + j*a + q + r*a**2 and give k.\nAnswer: -3593","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106 - 94 = 25*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + v + 3. Let l be r(2). Sort l, 9, 3 in decreasing order.\nAnswer: 9, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 294*g**5 + 56*g**4 + 1457*g**3 - 142879393*g wrt g?\nAnswer: 5880*g**3 + 672*g**2 + 8742*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7153\/53605 - 21\/151. Are 0 and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -29 + 29 - 14\/10. Let c(l) = -l**2 + 1. Let h be c(1). Is j != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 11*n**2 + 7*n + 4. What are the prime factors of r(-6)?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (1 - (3 + 0) - -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k**2. Let l(b) = 2*b**2 + 14*b + 115. Determine l(y(c)).\nAnswer: 18*c**4 - 42*c**2 + 115","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1042, -1915, -3376, -5431, -8086, -11347, -15220, -19711?\n\"Answer: -n**3 - 288*n**2 - 2*n - 751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1378 - -1467. Let d = 7 + -3. Let u be 89 - -3*d\/12. Do m and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 + 144497978*a - 288995964.\nAnswer: 2*(a - 2)*(a + 72248991)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 362 divided by 35464?\nAnswer: 181\/17732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) 0.2 (c) -0.5 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 121 - 85. Let o = 29336\/805 - 39\/161. Let p = o - a. Put p, -4, -2 in decreasing order.\nAnswer: p, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 20229000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t. Let w(k) = -20*k**2 + 6*k + 38. Let q(g) = 5*c(g) - w(g). What is the derivative of q(o) wrt o?\nAnswer: 40*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4818 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 11:23 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f + 8 = 9*f - 4*h, 0 = h - 2. Suppose -p - 4 + f = -3*v, 2*v - 16 = -4*p. Solve 0 = -6*t + 3*t + 9, 3*l - 3*t = v for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1606419?\nAnswer: 3, 59497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + a. Let c(j) = -j**3 - 10*j**2 - 10*j. Let h(k) = -c(k) - 3*p(k). Let v be (-6)\/(-14) - (38\/7 - 5). Let o be 2*-2 - (v + 2). Determine h(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2877044 and 14?\nAnswer: 20139308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.25 + 3.45. Which is greater: -1\/178 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 542227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(171)*4)\/(sqrt(9) - (sqrt(1089) + sqrt(1089) + sqrt(1089) + -5*sqrt(1089))).\nAnswer: 8*sqrt(19)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 929187 and 99.\nAnswer: 10221057","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-2 - -4) - 9656\/(-1360).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 596518 and 91.\nAnswer: 4175626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 1\/6, -5.2, 0.28?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is df (base 16) in base 8?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (58\/(-8))\/((-3)\/24) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p**3 + 12*p + 10. Let d(x) = -8*x**3 + 30*x + 24. Calculate -5*d(a) + 12*k(a).\nAnswer: 4*a**3 - 6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -362 (base 14) to base 7\nAnswer: -1652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7083 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 5:38 AM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 136874?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 1 (b) -80 (c) -130 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2988\/35 + 424\/5. What is the biggest value in -0.038, -0.5, r?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*w**3 - 4*w**3 - 4*w**3 - 3*w wrt w.\nAnswer: 42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5439075.\nAnswer: 3, 5, 47, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2. Let h(p) = 7974*p**2. Give h(q(f)).\nAnswer: 7974*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f - 15 - 5 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10\/7)\/(81\/1134). Let j = 9 - 6. Suppose j*b - m = -5. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d**3 - 24*d**2 + 8*d + 1. List the prime factors of o(-13).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 163 - 151. Calculate the remainder when 209 is divided by 2\/(k\/3*7\/742).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 176041?\nAnswer: -3\/176041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/7))**(-21\/4)*((f\/(f\/(((f*f**(-2\/3))\/f)\/f)))\/f)**(-2\/11) assuming f is positive.\nAnswer: f**(131\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 102?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 4604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/53 or -29138?\nAnswer: -29138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*u = -2*i + 186*u - 23, -7*u - 9 = -4*i for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*0.012.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-13)*k)\/k*k*k)\/k*k\/(k\/(((k\/((k\/k**(-21))\/k))\/k)\/k))*(k**(-2))**(-4\/17) assuming k is positive.\nAnswer: k**(-570\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 0, 0 = -7*u + 4*u - 5*d - 9. Let n(m) = -3*m + 2. Let o(k) = 3*k. Let z(c) = u*n(c) - 2*o(c). Let v(p) = 2*p - 5. Determine -4*v(j) + 3*z(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -127 + 14. Let w = k - -113. Suppose -5*q + 3*q + 2*n + 268 = w, 3*q = -n + 406. Does 15 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 5*m = 5, -2*b - 5698 + 5653 = -3*m for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w. Let m(i) = 578003 + 12*i**2 - 11*i**2 - 3*i - 578003 - 85*i**2. Give m(t(j)).\nAnswer: -756*j**2 + 9*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 18*h. Let l(c) = -17*c + 13. Let g(r) = -4*r + 3. Let j(m) = -26*g(m) + 6*l(m). What is u(j(v))?\nAnswer: 36*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 + -2. Let r = 101 + -97. Suppose r*w - 200 = -2*l - 54, 4*l = -2*w + 268. Calculate the remainder when l is divided by j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004549 to seven decimal places.\nAnswer: -0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -231822, -231748, -231674, -231600, -231526?\nAnswer: -231452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5*6\/(-285) + (-3644)\/(-38). Suppose -b*s = -80*s - 5056. Is s a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-407)\/495 - 3\/(-5). Suppose 3 + 1 = -4*w. Let a be (-58 - -62)*6\/8. What is the nearest to a in 2\/11, y, w?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -457 - 394. Let n = p + 851. Solve -8*s - 27 + 3 = n for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-5)\/5))\/((-1)\/1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -348\/7 + 50. Put m, 4, -2 in ascending order.\nAnswer: -2, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**2\/9 + 188*l\/9 + 400\/3 = 0.\nAnswer: -6, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -4*v + 3. Let q(w) = 49*w**3 + 2*w**2 - 2*w + 1. Let y be q(v). Let i = 75 - y. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -83*a**2*z**2 - 20154*a**2 + 4*a*z**2 - 32*a - 150*z**2 - z - 2 wrt a?\nAnswer: -166*z**2 - 40308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1830b41 (base 13) in base 9?\nAnswer: 15746751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 = -7*h + 5207. Suppose 301 = -2*j - 4*s + 9*s, 5*j - 5*s + h = 0. Let i = 223 + j. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(1323) - (-3 + sqrt(1323)))**2 - sqrt(1323))*2 + 2 + 3 + sqrt(1323))*4.\nAnswer: -420*sqrt(3) + 460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 6*w - 44. Suppose -25 = -2*j + 3*a, 88*a = j + 89*a - 5. What is k(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(114)*-1)\/(sqrt(150)*2) + 2.\nAnswer: -sqrt(19)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3\/11 (b) 4 (c) 2\/9 (d) 8 (e) -1\/5 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 at most as big as -2\/6074719?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of k**5\/40 + 341*k**4\/16 - 557*k**2. Factor w(y).\nAnswer: 3*y*(y + 341)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-4))\/(1\/(3\/(-42))).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 19. Let n be 12 + (-10 + 2 - v). Suppose -21 = n*f - 93. What is the greatest common divisor of 9 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -103379\/30 + 17241\/5. Find the common denominator of -41\/5 and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**5\/y)\/y**(-2\/9)*y*y*y**(2\/17)*y**(3\/5)\/y)\/(y**(-1)\/(y\/(y\/(y\/y**(4\/7)))*y))**(6\/25) assuming y is positive.\nAnswer: y**(174646\/26775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - (-13 - -10)) + 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 70941, 141543, 212145?\n\"Answer: 70602*x + 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v - 1. Let o(s) = -9*s**2 + 9*s + 14. Let m(j) = 5*j**2 - 5*j - 7. Let w(p) = 11*m(p) + 6*o(p). Let y(c) = -5*u(c) - w(c). Give y(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/4))**(-34)\/(b**(1\/3)\/b*b)**(-50) assuming b is positive.\nAnswer: b**(151\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53558 is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + i + (3*i + i - 6*i)*(2 + 0 - 4) - 5*i + 0*i - 3*i - 4*i - 10*i + 4*i.\nAnswer: -13*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 2:21 AM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = 32 + 40. What is the units digit of (2598\/9)\/(0 + o\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - 7*m + 7. Let l(z) = 2*z**2 - 19*z + 16. Let x be l(9). Give d(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28091 divided by 1?\nAnswer: 28091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6863.3532us in hours?\nAnswer: 0.000001906487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {u: 3, n: 3, l: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33371287.\nAnswer: 33371287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 114676733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 289421, 289420, 289419, 289418, 289417, 289416?\nAnswer: 289415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 3*b = 2*b + 6, -5 = -p - 4*b. Suppose -3*d = 2*w + p + 3, 5*d + 5*w = -15. What is the first derivative of 4 + 4*v - 4 + d - 3 wrt v?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.812236 nanometers in millimeters?\nAnswer: 0.000000812236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0038554637 to five dps.\nAnswer: 0.00386","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 + 69 + -22)*16*458\/20.\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-351)\/(-60)) + 6\/(-9)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8997181 years in millennia?\nAnswer: 0.0008997181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 - 2)*(-1 - 5 + 4 + (1 - 2 + 3)*(-1 + 2 + 0) + 4 + 4 - 6)*(5*z**2 + 13*z**2 - 6*z**2) as h*z**2 + g + r*z and give h.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*b**2 + 11*b**2 + 11*b**2 - 28*b**2 + 30*b**2.\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76972.\nAnswer: 2, 7, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(3 + -9))\/(-1). Which is the second biggest value? (a) 1 (b) 1\/2 (c) q (d) -1\/4 (e) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 9:30 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-12) + 6\/4. Factor 25 + 60*f**2 + 85*f - 22*f**3 + 99*f**2 - 53*f**p + 13*f**4 + 80*f**3 + f**5.\nAnswer: (f + 1)**3*(f + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**2 - 44*w - 15. Determine n(-22).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.093044 - -1422\nAnswer: 1421.906956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*y - y - 4*y)*(1 + 2 - 1)*(4*y - y - y) to the form n*y + p*y**2 + d and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/1064 and 157\/645960.\nAnswer: 12273240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2 + 9*n + 9. Let r be 16\/((-5)\/(8 - 3)). Is p(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, 1, 0.5, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 7*v**2 + 16*v + 230. Let b be w(10). Calculate the highest common divisor of 13410 and b.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(-1)*x)*x)**(-30\/11)*(x*x**4)\/(x*x**(-2\/25)*x*x) assuming x is positive.\nAnswer: x**(-928\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31\/3 + 4\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -1415*j**3 + 816*j**2 - 3*j - 3. Let r(f) = 1417*f**3 - 815*f**2 + 4*f + 4. Let v(h) = 4*m(h) + 3*r(h). What is the third derivative of v(o) wrt o?\nAnswer: -8454","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in 14\/53, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide (15 + -15 - 34089)\/((-3)\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-1)*m**(-1))**(-15)*((m\/(((m\/((m*m*m\/m**(1\/2))\/m))\/m)\/m))\/(m**8\/m))**(1\/10) assuming m is positive.\nAnswer: m**(-307\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1)\/(k\/k**(2\/15)))\/(k**(-4)*k*k**7)*(k**(1\/3))**(-7\/3)\/(k\/(k*(k\/(k\/(k\/(k*k**(-1)*k))))\/k*k))**(1\/10) assuming k is positive.\nAnswer: k**(-299\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + 4)\/(1\/7). Suppose d + c = 3*l, -l + 2*l = -d + 1. Put l, -7, -4 in decreasing order.\nAnswer: l, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 126.4 + -127. What is the second biggest value in 6, -0.3, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3*w + 2*o - 183, -5*o = 15. Suppose -t = -4*h + w, -3*h + t + 66 = 18. What is the greatest common factor of 8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 2*o - 3*o)*(-50*o**3 + 152*o**4 + 98*o**3 - 48*o**3).\nAnswer: -304*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183 - 235 = 26*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 31 + 25 = 0. Find the third derivative of -100*l**6 + 28 - m + 64*l**2 + 38*l**2 wrt l.\nAnswer: -12000*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 11*j - 14*j - 64 - 58 + 122. Determine o(-9).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -0.1, -23215?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/43 and -51\/4656851.\nAnswer: 200244593","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -23*n**2. Let r(l) = -33*l. Calculate r(o(i)).\nAnswer: 759*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 - 128\/(-36))\/(-1). Which is bigger: u or -51?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnssnsnnsnnss. What is prob of sequence sssn?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 8*q = 630. Which is bigger: q or 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - 8*c**2 + 18*c - 7. Let t be x(7). Suppose -3*d + 2*n - 4*n = -t, 3*d - 3*n = 60. Is d bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 4*h - 111. Let d(k) = -4*k**2 + 25*k - 5. Let y be d(3). Let b be q(y). Solve b = -10*t + 5*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56306 is divided by 28151.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112 and 392?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 9:26 PM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 8:32 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.061 - -26.061. Let x = a - 27. What is the nearest to x in 2\/15, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -547 - -607. Solve 6*t - 21*t + l = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(o + 2*o - 2*o)*(11 + 3*o**2 - 11) + (o**2 + o**2 - 3*o**2)*(-4 + o + 4).\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - r - 2281 = 3*v, -4*r = -v - 9091. What are the prime factors of r?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 13*m**2. Let x(u) = 13*u - 86. What is f(x(v))?\nAnswer: 2197*v**2 - 29068*v + 96148","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*f**5 - 3166*f**3 - f**2 - f + 175957.\nAnswer: -1320*f**2 - 18996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -53*d + 403. Let w be l(23). Which is greater: w or -815?\nAnswer: -815","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of n**8\/48 + n**5\/12 + 7*n**2. Find the third derivative of g(t) wrt t.\nAnswer: 420*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.232 - -3.292. Let m = 0.06 - c. Let r = -0.01 + 0.21. What is the biggest value in -0.5, r, m?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 7*z**2 + 183*z + 916. Give v(-6).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/(-4)*(-20)\/248. Let s = -1\/31 - q. Which is bigger: s or -8\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1936 + -918. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 1. Let c be (-40 + (-1950)\/(-52))*-2. Let t(o) = o - 9. Let r be t(-3). Put i, r, c, 3 in ascending order.\nAnswer: r, i, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.7173254 millimeters?\nAnswer: 0.0007173254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -16*y**2 + 4*y + 130. Let w(x) = -2*x**3 + 14*x**2 - 3*x - 133. Give 3*t(m) + 4*w(m).\nAnswer: -8*m**3 + 8*m**2 - 142","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4247.3 times 5?\nAnswer: 21236.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -1 - (170 + -89)) + -21\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from vwqqdd?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*b + 110*b - 9 = -2*m + 5 + 4, -39 = -8*b - m for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.5 (b) -2\/15 (c) -2\/21 (d) 119 (e) 3 (f) -3\/64\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -4*x - 5*j, 2*j = -2*x + 5*j + 16 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 30 + -29 + -2 + 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -521 + 548. Calculate the least common multiple of t and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 times 97?\nAnswer: 1164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-38)\/(-14)*28\/72 and 65\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 478296 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-68)\/(-10) + 12\/60. Let u(q) be the second derivative of 1\/21*q**3 + 4\/147*q**k - 3\/70*q**5 + q - 4\/105*q**6 + 1\/21*q**4 + 0*q**2 + 0. Factor u(y).\nAnswer: 2*y*(y - 1)**2*(2*y + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 7*r = 36. What is the units digit of ((-222)\/(-4))\/(r\/(-16))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.8 (b) -0.06217 (c) 0.2 (d) -0.13 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -934096 < -934098?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-6)*8\/1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1662611.36 times -3\nAnswer: 4987834.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yn when two letters picked without replacement from {n: 1, r: 7, k: 5, y: 3}.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -20212111210001221?\nAnswer: 20212111210002000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157*a + 2477 + 1355 = -250. Calculate the remainder when 82 is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = y - 0*c, -2*y - 9 = c for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 16 - 4 = 0. Sort -3, d, 3, 5 in decreasing order.\nAnswer: 5, 3, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -21. Let o = -6.4 - -6. Let w = d - o. Which is the third biggest value? (a) w (b) 1\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2606 + 2625. Solve 0 = x*j - 30*j - 22 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 8*k**2 + 7*k - 4. Let m be u(7). Sort -44, 0, m in ascending order.\nAnswer: -44, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * -12869\nAnswer: 7721.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 9. Differentiate 2*m**4 + 5 - m**b - 3*m**4 - 2 with respect to m.\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -49, -1, 80 in decreasing order.\nAnswer: 80, -1, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293627?\nAnswer: 479, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 54 + 119)*(4*b - 3*b - 2*b) + 5*b + 11*b + 8*b - 5*b.\nAnswer: -53*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -461 + 486. Solve d = -y + 29 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*g + 18*g - 40 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 + 2*d**2 + (-4 - 2 + 1)*(2*d**2 - 2*d**2 + 2*d**2) + 2*d**2 + 2 - 2 to the form t + n*d**2 + v*d and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 110, 292, 572, 962, 1474, 2120, 2912?\nAnswer: 3862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, u: 5, i: 5}. What is prob of sequence uoi?\nAnswer: 25\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 9 + 3 = 0. Suppose t*r = 27 + 61. What is the greatest common factor of r and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14571?\nAnswer: 3, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 2:51 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 583 a factor of 193556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17\/((-1190)\/(-168)))\/(-2)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/145075401 and 37\/21.\nAnswer: 1015527807","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29065274 is divided by 1831.\nAnswer: 1811","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1639188 is divided by 15761?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(11\/5)*p**3 assuming p is positive.\nAnswer: p**(26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39142722, -39142721, -39142720, -39142719?\nAnswer: -39142718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.77611 rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -517e9 (base 16) in base 11?\nAnswer: -208876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1603 - -384.1603. What is the smallest value in -5, 0.1, i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 s when three letters picked without replacement from {y: 2, t: 6, j: 3, m: 4, s: 3}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of n**8\/1008 + n**7\/630 - n**6\/360 - n**5\/180 - n**2 - 4*n. Find x such that a(x) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -127 + 235. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, w: 2}. What is prob of picking 2 x?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.05 + 2.05. Let x = 3.09 + -0.09. Let j = z - x. What is the closest to -0.1 in 2, -5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 54, 83, 114, 147, 182, 219?\nAnswer: 258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6466 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -5, -2, -47 in increasing order.\nAnswer: -47, -5, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 44848 (base 9) to base 15\nAnswer: 8ca2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 8, -5798?\nAnswer: -5798","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (43092\/(-73872))\/(14\/(-16))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/4 (b) -0.4 (c) 5 (d) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 26036711 - 24?\nAnswer: 26036665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, 274, 0.081?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 384 - z**2 + 2*z**2 - 392.\nAnswer: z**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 203 + -1012\/5. Let l be -9*(-7 - -4)\/12. Which is the closest to l? (a) 5 (b) 2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4632242 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/((-16)\/(-2))*130. Let t = 71 - w. Let l(s) = 0*s**2 - t - s**2 - 156*s + 166*s. Give l(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17908, 36205, 54502?\nAnswer: 72799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 6 = 3*f, -2*f - 224*c + 4 = -222*c for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 118072*v**2 + 453*v + 53?\nAnswer: 236144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1940 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22819 smaller than 9\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 183244?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29416 - 29357. Sort 2, 42, w, 4 in ascending order.\nAnswer: 2, 4, 42, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6020698730.\nAnswer: 2, 5, 23, 26176951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17961, 36297, 54637, 72981, 91329, 109681, 128037?\nAnswer: 146397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -3*v + 4. Suppose -4*h + 4*u = -56, 0 = -194*h + 198*h - u - 14. Which is the second biggest value? (a) v (b) h (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.7 + 0.3. Let x = 1263 + -1267. What is the third smallest value in x, 2\/9, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -15 - 6*t + 3*t + 7. What is the tens digit of c(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 203 - 136. Let m be (s - 2) + (-1)\/1. Suppose -f + 0*b - 9 = 5*b, 0 = 4*f - 5*b - m. Calculate the remainder when 31 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4)*24\/12*5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3 = 9. Let p = 7 - f. Factor 8\/3*i - p*i**2 - 2\/3*i**4 - 2\/3 + 8\/3*i**3.\nAnswer: -2*(i - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 5*y**2 - 5*y + 6. Let n be a(6). Solve -3*i = -3 - n for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001686 to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 10*p - 10. Give w(10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 318 + 139 + k**2 + 16. Let c(o) = o**2. Calculate c(a(l)).\nAnswer: l**4 + 946*l**2 + 223729","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 4724 divide 689400467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2180 - 3?\nAnswer: -2183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 271 = 46*t + 169 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.5, 3.3, 1, -119, 1\/6, 3 in decreasing order.\nAnswer: 3.3, 3, 1.5, 1, 1\/6, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**2\/u*u*u**(-25\/2)*u)**38 assuming u is positive.\nAnswer: u**(-361)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 - 13*u**2 - 3*u**2 + 89*u - 97*u.\nAnswer: -2*u*(7*u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9)\/(-1*sqrt(3)) - sqrt(3)) + (sqrt(147) - (sqrt(147) + sqrt(147) + 2)) + -5)**2.\nAnswer: 126*sqrt(3) + 292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -106192.838 to the nearest 100.\nAnswer: -106200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 9, h: 2}. What is prob of sequence khkk?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/21, 3, -0.4, -4\/5, -19, 0.2 in descending order.\nAnswer: 3, 0.2, -2\/21, -0.4, -4\/5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 211913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-128)\/(-22) - (-8)\/44. Sort -3, 5, u in increasing order.\nAnswer: -3, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**3\/10 + 4463*h**2\/5 - 17846*h\/5 + 17844\/5 = 0. Calculate h.\nAnswer: 2, 8922","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 - 32*b + 210.\nAnswer: -2*(b - 5)*(b + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((-1*sqrt(14))\/sqrt(2) - -5*sqrt(7)*2))**2.\nAnswer: -90*sqrt(7) + 592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + -817. Let w = j - -827. What is the smallest value in 31\/5, 1\/2, -1, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 49768, 48490, 47212?\n\"Answer: -1278*v + 51046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 4, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 + 1260*r**2 - 41905*r + 78810.\nAnswer: -5*(r - 213)*(r - 37)*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b - 8 = 19. Let u(g) = -5*g. Let d be u(b). Suppose -2*p = -2*r - 16, -3*r = -p - p + d. Calculate the greatest common divisor of p and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 64079860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 11:12 AM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 98 and 742?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m + 2*m**2 - 30 - 2*m**2 + 0*m - 9*m**3 + 11*m**3 to the form z*m + s*m**2 + u + n*m**3 and give u.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 69*l**2 - 2*l - 1. Let q be v(-1). Suppose 7*o - 245 = -175. Calculate the highest common divisor of q and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10839.\nAnswer: 3, 3613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45044 by 6711.\nAnswer: -45044\/6711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-12)\/h)**(-1\/3) assuming h is positive.\nAnswer: h**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 135680 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4*1*sqrt(108) + sqrt(108) + -4)**2.\nAnswer: -480*sqrt(3) + 5432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1262 (base 8) to base 5\nAnswer: 10230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30*w**6 - w**3 + 2*w**2 + 15 wrt w?\nAnswer: -3600*w**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u*(u\/(u*(u\/((u**(-4)\/u)\/u))\/u))\/u)))\/(u**(-3\/7)\/u)*u**(-2)\/(u**(-2)\/u*u) assuming u is positive.\nAnswer: u**(-32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 753 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 - 0.5. Let p = 1.2 - m. Let q = p + -1. Which is the third biggest value? (a) -5 (b) q (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2689\/6 greater than -5335?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r - 3. Let p be y(-5). Suppose -p*z - 3*z + 40 = 0. Let s = z - 4. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnknknnknnkkk. What is prob of sequence nkkk?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of 0*a - 206\/5*a**5 - 41*a**2 + 0*a**3 + 0*a**4 - 244. What is the second derivative of x(m) wrt m?\nAnswer: -2472*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -3*v + 41, -654*y - 2543 = -214*v - 1301*y + 652*y for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -9*-4\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -5*l - 5*h - 16, -2*h - 10 = -l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {b: 2, n: 3, p: 4, t: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69283646607123 - 3.\nAnswer: 69283646607120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 65*l + 1035 = 0 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**2. Let x(f) be the first derivative of -3*f**3 + 64. What is a(x(p))?\nAnswer: 162*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 6*u**2 + 23*u - 14. Let p(g) = 3*g**2 + 11*g - 7. Let j(w) = 9*p(w) - 4*v(w). Let i(n) = -2*n**2 - 5*n + 5. What is -7*i(h) - 5*j(h)?\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -161.9.\nAnswer: 80.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of 2*q**7\/21 + 2*q**4\/3 + q**2 - 16*q. What is the second derivative of f(o) wrt o?\nAnswer: 240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ke when two letters picked without replacement from {e: 1, k: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -735789\/20 + 36779. Let f = 49\/4 + o. Calculate the common denominator of f and 7\/55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2668263 divided by -2207\nAnswer: -1209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 2025?\nAnswer: 2032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16 + 23 + 0*y - y)*(-2 - 5 + 3) in the form g + d*y and give g.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3701935, -3701937, -3701939, -3701941?\n\"Answer: -2*t - 3701933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j**2 + 4561055*j + 396849630 = 0. Calculate j.\nAnswer: -87, 912298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 894383 is divided by 1903.\nAnswer: 1876","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**2 - 405*m + 405*m + 25 + 4*m**2.\nAnswer: 5*m**2 + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -26. What is the least common multiple of 4 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 0.017 (c) 2 (d) -0.2 (e) 0.004\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 2*v + 4. Let u be p(-6). Suppose 0 = -2*b - 3*f + u, f + 0*f + 84 = 4*b. List the prime factors of 6\/(-9) + b\/3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 975257 a multiple of 181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -957 divided by -429\nAnswer: 29\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1688, -3408, -5128, -6848?\nAnswer: -8568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*a + 112 - 22 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -27 in decreasing order.\nAnswer: 5, 4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6698?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5204?\nAnswer: 2, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k + 6. Let p be c(-6). Suppose 3*a - 2*d - 1863 = p, 0 = -21*d + 24*d + 9. List the prime factors of a.\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(-4)\/44 + (-1134)\/(-594). Solve 3*f - 12 = 4*q, 4*f - j = -3*q + 14 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*q**6 - 2114059*q**4 + q**3 - 90643*q**2 + 30*q - 20?\nAnswer: -960*q**3 - 50737416*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -1.32. Let f = s + -13.18. Let p = 13 + f. Which is the third biggest value? (a) -0.1 (b) -3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 5*j = 4*n, 4*n = 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**2 - 2 + 2 + (-8*b - 7*b + 3*b)*(2*b - 5*b + b).\nAnswer: 26*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -14. Suppose 4*a - 3 = -5*t + 5, g*a = 3*t + 6. Suppose 5*i - 30 = a*i. Solve -l = l - i for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -518*n**5\/3 - 8038*n**4\/3 - 13106*n**3\/3 + 8798*n**2\/3 + 13624*n\/3 - 760\/3 = 0. What is n?\nAnswer: -95\/7, -2, -1, 2\/37, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 102190223*z - 296822351?\nAnswer: 102190223","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31 + 845258.508.\nAnswer: 845289.508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1100 (base 3) to base 12\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.63 - 0.17. Let q = -0.2 + d. Which is the second biggest value? (a) 1\/6 (b) -0.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4*t - 57 - 3 = 0, 0 = -5*t. Suppose 2*q = -3*q + 10. Let k(g) = 3*g**2 - g + 2. Let a be k(q). Calculate the highest common divisor of a and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9768 divided by 9.\nAnswer: -3256\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o + 34 = -30. Let p be -2*(-5 + 3)*(-150)\/o. Suppose 0 = -4*f + f + p. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4*a = 2141, 0*m = 3*m + a + 2135. Let b = 722 + m. Calculate the greatest common factor of 88 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47485 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6957321 is divided by 396.\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*a**3 - 6*a**2 + 7*a**2 - a**2.\nAnswer: 25*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4430*u**5 + 6611*u wrt u.\nAnswer: -88600*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.96 - -0.04. Let z = 5.53 - g. Round z to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 9) to base 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(77)*4*6 + sqrt(77)))\/(sqrt(14)\/sqrt(8) + 1*sqrt(567)) + -1.\nAnswer: -250*sqrt(11)\/19 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5, -1, 68577, 0 in ascending order.\nAnswer: -5, -1, 0, 6, 68577","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 400321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (11\/(-55))\/((-10)\/3678550) + 1*6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-15))\/((-4)\/(-6)). Let k be 3 + 510\/325 + -4. Let b = 10\/13 - k. What is the second biggest value in -1\/2, q, b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 255 - 175. Find the third derivative of -b*d + 156*d - 8*d**2 - 73*d - 9*d**6 + d**4 wrt d.\nAnswer: -1080*d**3 + 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1496989 and 2171.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1806)\/6622*(32\/252 + (-2)\/9).\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 2*y + y)*(y - 3*y + 4*y) - 4*y + 52 - 17*y**2 - 23 - 28.\nAnswer: -21*y**2 - 4*y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30133 (base 4) to base 3.\nAnswer: 1002121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1269 + 1589 = -16*u for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 198*q + 6138. Determine b(-31).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (2 + 1)) + (1 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 333416456 and 2416.\nAnswer: 1208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20620\/11 - -1877. What is the common denominator of -71\/10 and n?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -4. Let g = n + -1. Let o = -29 - -33. Sort g, o, -0.4 in ascending order.\nAnswer: -0.4, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of 29*a**5\/20 - a**4\/3 + 2*a**3\/3 + 2*a**2 + 9*a - 2. What is the hundreds digit of k(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10021 (base 3) to base 7\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, c: 3, t: 9, m: 1, u: 2}. Give prob of picking 1 m, 1 c, and 1 t.\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -48*h - 777*h**2 + 45 - 42 - 461*h**2 wrt h?\nAnswer: -2476","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28287 is divided by 1677?\nAnswer: 1455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.044 + -36.956. Let s = -38 - m. What is the second smallest value in s, -0.06, 1\/4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 times 0.335?\nAnswer: -14.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5481, -10946, -16413, -21882, -27353, -32826, -38301?\n\"Answer: -v**2 - 5462*v - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*l + 30*l - 169 - l**2 - 4*l + 1690 - 2*l with respect to l.\nAnswer: -2*l + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 455006, 910092, 1365180, 1820270, 2275362?\n\"Answer: j**2 + 455083*j - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1134 = 17*k + 31*k - 599 + 149 for k.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 184181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -127.8 + 117. Let a = 11 + p. Put a, 0.4, 1\/8 in descending order.\nAnswer: 0.4, a, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 102*p**5 - 289*p**4 + 3*p**3 - 6579628*p.\nAnswer: 2040*p**3 - 3468*p**2 + 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6292 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 14 = 3*q, 2 = 4*q - o + 4*o. Calculate the remainder when 8 is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44188 + -1767403\/40. Let s = 413 + -2079\/5. Let q = d + s. Which is the nearest to -1? (a) 0 (b) q (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -115248429, -115248437, -115248445, -115248453?\n\"Answer: -8*o - 115248421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 b, and 1 l when three letters picked without replacement from {o: 2, r: 3, b: 1, i: 3, t: 1, l: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l - 3*p + 13, 2*p + 0 = 4*l - 18 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -569974322411 + -2\nAnswer: -569974322413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25\/27 + 287\/135. Sort 0, 2, l.\nAnswer: 0, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h. Let r(k) = -4*k + 5*k - 5 - 2*k. Let l(u) = -1. Let d(n) = -3*l(n) + r(n). Let v(t) = 2*t + 5. Let c(f) = -10*d(f) - 4*v(f). What is c(y(j))?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + 0)**2 - (0 + (sqrt(2) - (sqrt(2)*2)**2)).\nAnswer: -sqrt(2) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 8*x + 1. Let v be w(2). Suppose -3*q - b - 5 = -v, 0 = 5*q - b - 20. What are the prime factors of (-100)\/(-7) - q\/14?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 102 and 68408?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a - 2*a + 2*a**2 + (0*a + 3*a - 2*a)*(0 - a + 0) + 8*a**2 - 7*a**2 + 61*a**2.\nAnswer: 63*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (37 - 27)*(-1)\/(-5) - 5936\/3021?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 = 200*t - 439 - 208 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -3 - ((-4 - (-1 - 0)) + 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s - 39. Let o(b) = -13*b - 15*b + 27*b. Let c(t) = -2*o(t) - z(t). Let a be c(-9). Calculate the highest common divisor of a and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 860 divide 392331140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -495 - 462 = -11*a. Suppose 106 - 16 = 5*d. Calculate the remainder when a is divided by d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(2 + -1 + -1). Suppose i = -2*q + 36. What is the lowest common multiple of q and 128?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -5410?\nAnswer: 5413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 0.04, 4\/3, 0.1, -2\/11, -129?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 77554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 5)*(4*t**2 + 2*t**2 - 4*t**2)*(-11*t + 13*t + 6*t) as x*t**3 + n + a*t**2 + w*t and give x.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 39*o - 112. Let u be k(3). Let l(v) = 7*v**3 - 3*v**2 - 3*v - 5. Let q(j) = 6*j**3 - 3*j**2 - 2*j - 4. What is u*l(n) + 5*q(n)?\nAnswer: 2*n**3 - 3*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 21123301 to the power of 1\/2, to the nearest integer?\nAnswer: 4596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-350)\/7875*275*(-6)\/(-4)\nAnswer: -55\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1428116639 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3855, 1, 43, 0, -159 in decreasing order.\nAnswer: 43, 1, 0, -159, -3855","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2 (b) -46 (c) -1676 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 102877974, 205755916, 308633860, 411511806, 514389754, 617267704, 720145656?\n\"Answer: d**2 + 102877939*d + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l**4 - 260*l**3 + 6084*l**2 - 61516*l + 228488 = 0. Calculate l.\nAnswer: 13, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2413199 is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 17457 = 584*r + 178*r for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -66 - ((1 - (-8 - (3 + -5))) + -3 + 2)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (251*f + 2044*f - 6*f + 1232*f)*(f**3 + 3*f - 3*f).\nAnswer: 3521*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 324*g**2 + 2*g**3 + 2 - 367*g**2 - 39*g + 17*g + 1. Let z be a(22). Solve -15 = -z*x - 2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {t: 1, l: 1, v: 7, s: 2, y: 4}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -0.036372.\nAnswer: -0.0109116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 229051, 229066, 229077, 229084, 229087, 229086, 229081?\n\"Answer: -2*v**2 + 21*v + 229032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, 1\/3, -3, 0.2, -3\/10?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tix when three letters picked without replacement from {i: 1, x: 3, t: 4}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 49505760 minus -2?\nAnswer: 49505762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 3. Suppose b + 4*u - 6 = 0, -u - 3 = 5*b - 14. Factor 2 + 0*j**2 - b + j**3 - j**r.\nAnswer: j**2*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-30) + 4\/10. Let h = 1.5 - 2. Let v = -1.5 - h. Sort v, -3, j in descending order.\nAnswer: j, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-5))\/((-1)\/(-15)). Suppose -m*a + 38 = -4*a. Suppose 0 = -4*t + 20, -8*l + 3*l - 3*t = -285. Calculate the remainder when l is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -48*r - 8479. Calculate x(-165).\nAnswer: -559","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11492 + 11491.999989248. What is x rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -545*a**2 - 7 - 3 + 0 + 8 + 2*a**3.\nAnswer: 2*a**3 - 545*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4 + sqrt(1088)*-3 + sqrt(1088) + 1 + 3)**2.\nAnswer: -256*sqrt(17) + 4420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 18*j - 90. Let b(y) = y**2 + 12*y - 10. Let m be b(-13). Let h(a) = 0*a + 8 + 2*a - m. Determine h(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t - 6. Let q be x(-6). Let s be -1 - (-3 + q\/(-3)). Solve 2*i = -s*y, 2*i + 3*i + 6 = y for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k, 1 v, and 1 u when four letters picked without replacement from {v: 1, k: 3, a: 3, u: 7, w: 3, i: 2}.\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/25*(-7 - (-4 + -8)) - -3. What is the second biggest value in -13, 11, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*s - 17 = 0, -4*p + 0*p + 2*s + 2 = 0. Suppose -2*r + 9*r = 77. Let m be -15*r\/(220\/(-16)). Solve p*g + 2*w = -m, -5*w - 1 - 22 = 4*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 4 - 3)*(-i + 0*i + 2*i) - 2817 + 41*i + 2817)*(-2*i**3 + 10*i**3 - 9*i**3) as a*i**4 + o*i + c + g*i**2 + x*i**3 and give a.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g - 4. Suppose 2*l = -2, 5*l = -44*n + 46*n - 29. Suppose 2*t + a - n = 0, 7*t + 3*a - 16 = 5*t. Determine s(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -4*p + 3, 24 = -4*o + 5*o - 9*p for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44 - -1) + (3 - 15 - -44)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q + 3. Let i be j(2). Let n be 158118\/168 + (-8)\/(-32). Let t = 941 - n. Which is greater: i or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 17. Find the third derivative of c + 4 - 7*a**5 + 6*a**2 - 5 wrt a.\nAnswer: -420*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/9)\/((-7)\/(-84)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**3\/3 + 19*b**2 + 58*b\/3 = 0. Calculate b.\nAnswer: -1, 0, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5*a = -5, -7*a + 11*a + 25 = 5*z. Solve x = 2*b + 3, -49*b + 50*b + z = -3*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**4 - 147*u**3 - 26550*u**2 - 390432*u - 1511808 = 0. Calculate u.\nAnswer: -62, -8, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 f when three letters picked without replacement from hpchyfxhhxchhhhpc.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xfs when three letters picked without replacement from {x: 6, i: 2, s: 1, y: 1, k: 1, f: 4}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a0bb352 - 1?\nAnswer: -1a0bb353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -8. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -389698 - 290338236.\nAnswer: -290727934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6384*d + 3*m - 64 = -6386*d, 14*d - 8*d = -m + 160 for d.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 240*o**2 + 24*o**3 - o - 240*o**2 to the form p*o**3 + z*o**2 + n + u*o and give p.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59 + 17. Suppose 5*t - t = -z. Let a = t - -38. List the prime factors of a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 11*p**2 - 8*p - 4. What is the units digit of i(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39443619, -78887244, -118330869?\nAnswer: -157774494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 124 - 993\/8. Which is the smallest value? (a) 11 (b) q (c) -5 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3081 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*w**2 - 8*w**2 + 0*w**2.\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, j: 1, z: 5, h: 3}. What is prob of picking 3 u and 1 j?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 9. Suppose x + g*x = -38091. Let u be (0 - 2 - 1) + x. What is u rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (15 + 20 - 14)*(-3*a + 0*a + 4*a)*(19 - 19 - 11*a**2) in the form s*a**2 + m*a + p*a**3 + t and give p.\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 1348*q = 1335*q - 49, -s + 26 = -2*q for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 650\nAnswer: 1950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44236*a**2*z**3 + 59*a**2*z**2 + 10*a**2 + 3*z wrt z?\nAnswer: -265416*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, q: 1, x: 1, l: 1, u: 3}. What is prob of picking 2 u?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 8*f - 52. What is the remainder when 48 is divided by g(11)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 15. Let w be 1 - s\/((-2)\/(-1)). Sort -2, -3, w in ascending order.\nAnswer: -3, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32355 or -808911\/25?\nAnswer: -808911\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(-4)\/220 - (4 + (-2271)\/(-33) + 6).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 + 1)*(-11*u**5 - 8*u**3 + 8*u**3) - 2*u**5 - 4*u + 8*u**5 + 5*u.\nAnswer: -49*u**5 + u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y - 6. Calculate r(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -4*f + 1482, d - 738 = -2*f + 5*d. Let o = -371 + f. Solve o = 6*u + 6*u + 48 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 t when four letters picked without replacement from tvvtttttttv?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 31*m**2 - 302*m + 19. List the prime factors of z(27).\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((0 + 0)\/(-4))\/1. Suppose x = -h + 2*g + 22, 0 = -3*h - 0*h - g + 87. Let 1 + 26*w**2 - 2 - h*w**2 - 7 - 8*w = 0. Calculate w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -72.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r - 7. Suppose -u - 134 = -3*u. Suppose -5*f - u = 3. Let i(s) = s + 14. Let g be i(f). Calculate k(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 414 and 234.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l**3 + 4654*l**4 - 1865*l**4 - 4*l**3 - l + 3*l**3 + (-l**3 - 4*l + 4*l)*(-3*l + 3*l - l) to i*l + n*l**2 + h + b*l**3 + v*l**4 and give v.\nAnswer: 2790","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15360 divided by -80.\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.438 and 0.06777.\nAnswer: 0.50577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8 - ((-59592)\/3)\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8913 + 2804.2. Round l to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 94229?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -816, -2847, -6204, -10887, -16896, -24231?\nAnswer: -32892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70)\/980*(-14)\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 390706 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -205 and -454.058.\nAnswer: 93081.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 2\/13, -4\/7, 1\/9, 5.01 in ascending order.\nAnswer: -4\/7, -2\/5, 1\/9, 2\/13, 5.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.045 - 0.145. Let i be (-2)\/14*-2*-2. Let p = 3 + -4. Which is the nearest to r? (a) i (b) -1\/4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 7) + 5 + -6. Let v = -4 - f. Calculate the highest common factor of v and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/30 - (8 + 1379\/(-105)). Let a(v) = 3*v - 5. Determine a(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 309780?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -51405272*d**3 - 33861559 wrt d.\nAnswer: -154215816*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 153\/102 - 1\/1. Sort 4, g, -6 in decreasing order.\nAnswer: 4, g, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 230 - 113 + 35*f**3 + 28*f - 117. Let r(w) = w**3 + w. What is g(s) - 28*r(s)?\nAnswer: 7*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 19*a + 25. Let x be l(20). Solve -x*y - 12 - 1 = s, 2*y + s + 4 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -1. Let u(t) = -4*t + 2. Let d(c) = 4*s(c) - u(c). Let i be d(-6). What is the remainder when 15 is divided by (-138)\/i + 6\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -22. What is the remainder when ((-12)\/(-10))\/(1\/10) is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2380 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**2\/5 + 5289*v\/5 - 13450582\/5 = 0.\nAnswer: -7166, 1877","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - ((0 - 8) + 370 + -317).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4*(4\/96)\/(6\/(-8)). Which is the nearest to 1\/12? (a) 5 (b) d (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -5*(-2*sqrt(343) + 4) + (sqrt(343) + -4*(sqrt(343) + (sqrt(343) - (2 + sqrt(343))) + sqrt(343)) - (1*sqrt(343) + -5 - sqrt(343))))**2.\nAnswer: -462*sqrt(7) + 3208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-3 - 74\/(-20)))*46\/(-552)\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 - 17. Let h = b + -1. What is the remainder when 16 is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/12*-4*15\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2578 - 2567. Calculate the least common multiple of g and 37.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 5. Let z = -2.3773 + 1.9373. Which is the second smallest value? (a) m (b) -0.2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41833 - 7*f**2 - 41833 + 7*f**3 + 26*f**2 - 2*f**3.\nAnswer: 5*f**3 + 19*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 277558\/8365 - -32\/1673. What is the closest to 1\/3 in 0.2, g, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 262202 (base 7) to base 10.\nAnswer: 48806","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**9\/b**(-13\/2)*(b**(-1\/8)*b*b)**35 assuming b is positive.\nAnswer: b**(649\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 101.1 - 101.88. Let g = 8.22 - m. What is the biggest value in 0, 3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -16218*z - 7607. Let t(k) = -2027*k - 958. Let m(u) = -6*g(u) + 51*t(u). What is the first derivative of m(v) wrt v?\nAnswer: -6069","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 336 and 4875?\nAnswer: 546000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of t**5\/20 + t**4\/4 + t**2\/2 - 22*t. Let i be h(-3). Calculate the highest common factor of 1 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1450 and 25406175?\nAnswer: 50812350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3802988657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 14*o - 9*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 900649375?\nAnswer: 5, 17, 29, 37, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/(-13)*(-6)\/6)\/(-3))\/(-1)?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 63\/14 - (-2)\/4. Which is the biggest value? (a) -1\/8 (b) f (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 87856.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4 + (1*sqrt(1008) - sqrt(1008)) - (sqrt(1008) + 3 + sqrt(1008)*1 - (sqrt(1008) + sqrt(1008)*1 + 3)))**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -563 + 131 = -12*k. Calculate the greatest common divisor of k and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.108, 2\/3, 4, -35, 0?\nAnswer: -0.108","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/3385338 and -157\/2573976?\nAnswer: 311451096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 25 and -1634134 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 276863 (base 10) to base 8\nAnswer: 1034577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -11107\/4391?\nAnswer: -11107\/4391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-17 - (1 + -13 - -3)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 155604 and 0.2?\nAnswer: 155603.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2301666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -176, -354, -532, -710, -888?\n\"Answer: -178*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 2\/35*n**5 + 1\/14*n**4 - 2\/21*n**3 + 2 - 1\/7*n**2 + 0*n. What is a in m(a) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 3:18 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (106810\/495)\/((-1520)\/6) - 3\/(-4). Which is smaller: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**3 - 4*i**2 - 4*i. Let t = 11 + -15. Let h(l) = -3*l**3 - 7*l**2 - 7*l. Let n be (95\/10 - (-66)\/(-11))*(2 + 0). What is n*z(b) + t*h(b)?\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/12 - (-363)\/4. Suppose 3*w = -2*w. Suppose -5*f - 6*z = -2*z - 65, 4*z = w. Calculate the greatest common divisor of l and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 306\/25 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.92, 1\/4, 0.3, 1 in increasing order.\nAnswer: 1\/4, 0.3, 0.92, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3*f**2 - 8*f - 4. Let o(z) = 7*z**2 + 33*z + 9. Determine 9*j(k) + 4*o(k).\nAnswer: k**2 + 60*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -0*w - 20. Suppose 4*g - 27 = w*s, s = -2*g + 2*s + 9. Solve f - 2*j + 8 = 0, g*f + 5*j - 2 = f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1848304526 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (52 + (-28160)\/550)\/((-2)\/105)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2547 and 4422724?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one quarter of a hour?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209*w = 9*w. Solve w = -11*n + 47 - 3 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 1:58 PM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 27*s + 4. Let z be j(-27). Let n(w) = 30*w - 1. Let x be n(2). Suppose -x + 15 = -z*m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8660813 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 262 + 27 = -c, 2*d - 4*c = 206. Suppose -2*w + 3*u - 5*u = -38, 5*u + d = 5*w. What is the remainder when 123 is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*n - 8*n - 6*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 less than or equal to 3136\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -730 + 730. Let v(b) be the second derivative of g + 0*b**3 + 0*b**2 + 1\/12*b**4 + 10*b. Let m(u) = -2*u. Give v(m(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-3)*w)\/w)\/(w*w**(3\/7)*w))\/(w**(-2\/5)*w**1) assuming w is positive.\nAnswer: w**(-211\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and 144.31.\nAnswer: 144.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -7\/38 (b) -11 (c) -48 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 100790713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 1864932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8329 - -8225. Which is smaller: g or -116?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -707, -823, -947, -1079?\n\"Answer: -4*t**2 - 104*t - 599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3 = u, -12 = -2*u - 3*u - g. Suppose 0 = -u*k - r - 5, 10 = -5*k - r - r. Suppose -d - 57 + 59 = k. Solve d = h + 6 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1982273 rounded to the nearest 100000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5 - -1)*(1 + (-21)\/9). Let l be (-262)\/o - (3\/4)\/1. Calculate the greatest common factor of 8 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 4, 0.051, -0.3, -3, -1, 4\/171?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (16\/5 - 3)*(-238)\/(-17). Which is bigger: 120 or n?\nAnswer: 120","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 3:40 PM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.859895 rounded to 3 decimal places?\nAnswer: 1.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 18, 82, 188, 336?\n\"Answer: 21*k**2 + k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -954*v**3 - 4058*v**3 - 5565*v**3 + 2169*v**3 - 2306*v**3.\nAnswer: -10714*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21760*w - 31731.\nAnswer: 21760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1214.7 - -641.29. What is q rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4912715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**3\/9 + 436*i**2 - 89278*i\/9 + 54292\/3 = 0. Calculate i.\nAnswer: 2, 21, 1939","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -211 - -349. Suppose -1456 - 319 = -145*z + 140*z. Let y = z - q. Is 34 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, j: 4}. What is prob of picking 3 t?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 2. Let o(v) = -v**2 + 34*v + 3. Let j be o(34). Solve d = j*m - 0*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.483644g in kilograms?\nAnswer: 0.006483644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of t**3\/2 - t**2 + 115*t. Let z(r) = -7*r + 6. Let g(b) = 5*h(b) + 2*z(b). Let s(c) = 1. Calculate 2*g(n) - 5*s(n).\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 46*b**2 - 6*b - 60. Let d(h) = h**3 - 48*h**2 + 5*h + 61. Let v(p) = -4*d(p) - 3*m(p). What is the second derivative of v(q) wrt q?\nAnswer: -6*q + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1779 and -5.5.\nAnswer: 1773.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, j: 1, r: 1, z: 1}. Give prob of picking 1 z, 2 t, and 1 j.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 68386.875 rounded to the nearest one thousand?\nAnswer: 68000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 360 and 495.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - sqrt(76)\/sqrt(4)*-1 - -3*(sqrt(19) + -2 - sqrt(19)))**2.\nAnswer: -24*sqrt(19) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/48*-4*195. Suppose 2*u + 25 = 2*o - 13, -u = -3*o + i. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31837055 - 13624055. Round a to the nearest one million.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o = -3*o - 20 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -32 (b) 6 (c) 1\/4 (d) 0.4 (e) 5 (f) -22\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + 30*s + 68. List the prime factors of b(29).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*f + 11*f + 9252. Let u be 10\/(-35) - f\/21. Which is smaller: u or -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.05541 and -39.\nAnswer: -38.94459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1700524827.\nAnswer: 3, 43, 293, 4999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1033686.738 nanoseconds in weeks?\nAnswer: 0.000000001709138125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16207 - 18207. Which is greater: -2005 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 518964 by 10.\nAnswer: 259482\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/3 (b) -56 (c) 7817 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -856*o**5 - 13*o + 2*o**3 + 849*o**5 + 56*o wrt o?\nAnswer: -140*o**3 + 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 3*j + 3*j)*(-4*j**2 + 3*j**4 + 4*j**2) + 3*j**2 + 2*j**5 - 3*j**2 - j + j + 2*j**5 + (-j**5 + 2*j**5 - 3*j**5)*(86 - 34 + 42).\nAnswer: -178*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34433400 (base 5) to base 6.\nAnswer: 10403101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g - 26. Let v be u(-7). Let f(a) = -2*a - 7. Let d be f(-6). Sort v, -2, d in increasing order.\nAnswer: v, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 249449 to the nearest integer?\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of j**2 + 7*j + 5\/6*j**3 + 1\/4*j**4 + 0. What is the tens digit of y(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3063520 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v = 3*v + 660. Suppose 0 = 5*p + p - v. Let r be (p - -58) + (1 - 4). What is the greatest common divisor of 11 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -12 + 30. Suppose 0 = 3*m - v, 5*s - m - 7 = -2*m. Let n = 5 + s. Solve -r - n = -4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86398 to the power of 1\/2, to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/7 and 3 - (2 + 61\/8)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**2 + 2 + 2*t**3 - 6*t**3 + 676*t - 676*t to d*t + y*t**3 + j*t**2 + v and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1300) + -1))**2.\nAnswer: -80*sqrt(13) + 5204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 3, -7, -17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 95*x**2 - 189*x + 294. Give i(93).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven sixths of a day?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -285.559384 to 1 decimal place.\nAnswer: -285.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-3)*183\/4. Let p be h\/(-2) - (3 + -5). Let z(x) = x + 21. Let w be z(0). What is the greatest common factor of p and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 577*h**2 + 9*h - 8. What is the hundreds digit of u(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -342*s + 343*s + 13 = -4*z, 2*s = 3*z + 7 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 710 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g - 2. Let x be c(-3). Let j(z) = 64*z + 4210*z**2 - 58*z + 2*z - 4212*z**2 - 2. Let i(a) = 2*a**2 - 7*a + 2. What is x*j(n) - 6*i(n)?\nAnswer: -2*n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*g - g = 21, 4*q - 4*g - 20 = 0. Suppose -3*n = -n. Let k = q - n. Solve 1 = k*s + 7 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 1871 = -34*u - 538 + 372 for u.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 2543850?\nAnswer: 27982350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 - -35e?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x - 1. Let l(o) = 36*o + 34. Let c(w) = -204*b(w) - 6*l(w). Let t(a) = 2*a**2. What is t(c(k))?\nAnswer: 288*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 706 divide 101034954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1010?\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 132448259 to the nearest integer?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -958\/283363 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - -3. Let o(r) = 180*r**3 + 176*r**3 - 8 - 355*r**3 + 2 - 8*r**2. What is o(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (60*45\/(-720))\/((-2)\/((-40)\/(-1)))?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 6:18 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 59, 64, 83, 122, 187, 284?\n\"Answer: w**3 + w**2 - 5*w + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 10 - 10 = 10631*f - 10626*f, 0*f = -f - 24*r - 246 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 l when two letters picked without replacement from {t: 1, l: 1, q: 1, z: 2, g: 3, w: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 17?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v**2 + 19*v - 196. Let i be d(7). What is the greatest common divisor of 12 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 58702 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 - 2*b**4 + b**3 - 2*b - 15 + 34 to the form x*b**3 + s*b**4 + g + f*b + r*b**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 13*k + 24. Let c(i) = 60*i - 4. Give t(c(u)).\nAnswer: 780*u - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 - -0.1. Let f = x + -0.1. Let u = -43114\/5 - -8622. Put 0, f, u in decreasing order.\nAnswer: f, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**2\/15 + 6454*m\/15 - 6452\/15 = 0.\nAnswer: 1, 3226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1764177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 799531 is divided by 506?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (4\/12)\/((-8)\/96)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*n + 4 = 61*n + 5*g, 9 = -2*n + 16*n - 16*n - 3*g for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 10) + -527 + 559.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13\/3 - 4. Let g(s) = s**2 - 9*s + 2. Let q = 73 - 64. Let h be g(q). What is the nearest to -2\/5 in h, r, 4\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p. Let c = 498 - 490. Let q be 0 + 3 + 0 + -1. Let r(g) = -3 - 5 - 3*g**q + c. Determine r(t(x)).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h - 7. Let s be l(6). Let q(p) = 1. Let t(z) = z. Let x(v) = s*q(v) + t(v). Let f(c) = -c + 1. Let n be (-6)\/5*25\/(-10). What is n*f(r) + 2*x(r)?\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 5 = -13. Let w = q + 15. Suppose -3*m = 2*n + 2*m - 47, 0 = n - m - w. Is n a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -592 + 588. Let w(r) = 2*r. Let n(f) = -f. Let m(v) = 7*n(v) + 4*w(v). Determine m(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1562*h**3*y**3 - 10*h*y - 2*y**3 - 32*y**2 - 23 wrt h?\nAnswer: 9372*h*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 140910?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13178.\nAnswer: 2, 11, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/22 and (1 - 0)\/(-7) - (-786)\/13440.\nAnswer: 3520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-23520)\/(-343))\/(-40))\/(((-135)\/42)\/3).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5\/3 + 32\/21. Let x = 182 - 186. Which is the nearest to v? (a) x (b) -2\/9 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*1\/9 + 128\/6. Let x = 101 - 21. Suppose 2*v - 6*v = -x. Which is smaller: d or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3104788582?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.01 + 11.01. Let z = s - 10.999904. What is z rounded to five dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(6\/11)*f*f\/(f\/f**17))\/(f**10\/f**(3\/17)) assuming f is positive.\nAnswer: f**(1614\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (13 + 27 - 78) + 101\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 3*q - 18, -4*q + 48 = -q - 13*g for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 - 6*d**2 - 8 + (-3 - 2*d + 3)*(d - 3 + 3).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 0.2, -2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**3 + 6*f**2 + 24*f - 64 = 0. What is f?\nAnswer: -4, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -243414445511 and -44.7.\nAnswer: -243414445555.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 499*r - 350*r + 259*r + 471*r + 562*r.\nAnswer: 1441*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a microgram in nanograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 101850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 3. Let f be 42\/(-27) + 2 + 24\/108. What is the nearest to j in 3\/5, f, -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4561, 9108, 13657, 18208, 22761, 27316, 31873?\nAnswer: 36432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/8064 and 127\/3024.\nAnswer: 24192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**2 - 4*p**2 - p**3)*(26 - 41 + 12 + 23).\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19019946?\nAnswer: 2, 3, 11, 288181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 42\/11609 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.4 (b) -3\/5 (c) 2.8 (d) -3 (e) 32 (f) 30\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1686.\nAnswer: 2, 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjyjjjyyjyjyjjjjyj. What is prob of picking 2 y?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 6*s**2 - 22722*s + 22723. Calculate w(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*y - 22. Let j be (3\/y)\/((-6)\/(-972)). Calculate the greatest common divisor of j and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/13 - (-112)\/52. Suppose u*y = 7*y - 10. Suppose -y*d + 27 = -t, 0 = -2*d + 3*d + t - 9. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 x when two letters picked without replacement from {e: 1, g: 1, h: 2, x: 1, w: 4}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 346296 by -49.\nAnswer: -346296\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -102, -1752, -3.8?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1192*l**2 - 8784*l**2 - 1136*l**2 - 6*l**2 in the form d*l**2 + m + h*l and give d.\nAnswer: -11118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -88\/7*o**3 - 2\/7*o**5 - 90\/7*o**4 + 0 + 0*o + 0*o**2.\nAnswer: -2*o**3*(o + 1)*(o + 44)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m = 285 - 61. What is the highest common factor of m and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -522, -517, -514, -513, -514, -517, -522?\n\"Answer: -l**2 + 8*l - 529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9851 + -12400. Which is greater: j or -2548?\nAnswer: -2548","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, b: 3, p: 1, y: 4, d: 1}. What is prob of sequence ybwb?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 20 - 10 = 0. Solve 0 = 4*h - 2*h + d for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44951\/2220 + 1\/555. Find the common denominator of 119\/10 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + (4 + 0 - 3). Let k be ((-3)\/x)\/((-4 - 0) + 0). What is the third smallest value in -0.5, k, 1\/10, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6802*v - 167*v**2 + 87*v**2 + 87*v**2.\nAnswer: 7*v**2 - 6802*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/11, -0.1, 8.9, 4, -1\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 13) to base 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -151, 0, 8 in descending order.\nAnswer: 8, 7, 0, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233 is divided by 153.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of 162*t**5\/5 - 949*t**4\/24 + 1065*t**2. Find the second derivative of m(s) wrt s.\nAnswer: 3888","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w\/((w\/w**7)\/w))\/w)**(-2\/77) assuming w is positive.\nAnswer: w**(-16\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 844406729?\nAnswer: 1039, 812711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1183985.\nAnswer: 5, 11, 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 31. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 - -82. Suppose -4*m + q = -z, -5*m + 103 = 5*z - 7. Calculate the remainder when 50 is divided by m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -157, -145, -133?\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17 + -40664?\nAnswer: -40645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -10. Let y be -6 + 4 + (-9)\/g. Let d(i) = i + 2. Let u(b) = -1. Let p(l) = 5*d(l) + 10*u(l). Calculate p(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ztttttzzztzt. What is prob of sequence zzt?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5 - (7\/(-1) + 1). Is -1\/124 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 29 (b) 0.4 (c) -3 (d) 23 (e) -91\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, m: 2, c: 1, l: 1}. What is prob of sequence mlc?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9386817 < 9386817?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -2*d + 5*w, 0 = -4*d - 3*w - 0*w for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 36\/5. Let s be (46\/4)\/((-9)\/2). Let t = 22\/9 + s. Which is the closest to 1\/4? (a) j (b) t (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 35 = 3*c, -5*z = -7*z + 2*c - 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -692*t + 4. Let q(j) = 2*j**2. Determine q(o(d)).\nAnswer: 957728*d**2 - 11072*d + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k + 4*k - 20. Suppose k*m + 10 = 6*m. Solve 0 = -5*g - 5 - m for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.3029235 to one dp.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -4*n - 6. Let b = -82 + 85. Let q(z) = 7*z + 11. Determine b*q(f) + 5*c(f).\nAnswer: f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1148 + 492. Let n = -5897\/9 - b. Let v be 20\/(-30)*(-9)\/(-6)*-1. Does v = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68 + 56 + (-2 - -8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -25*c. Let t(z) = -11*z**2 + 7546*z. Give h(t(b)).\nAnswer: 275*b**2 - 188650*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 510373169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of h**7\/4620 + h**6\/660 + 7*h**3\/3 - 11*h**2. Let w(x) be the first derivative of f(x). What is k in w(k) = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49916 divided by 4\nAnswer: 12479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(2\/3))**(-22)*(o**(3\/2)\/o)\/o**(1\/11))**(-3\/14) assuming o is positive.\nAnswer: o**(457\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21928744?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1472360*w**3 + 2007142*w**2?\nAnswer: -8834160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-5) - (-2043)\/45. Let b = -12 + l. Suppose -5*u + 3*a + 38 = -0*a, -4*u + b = -5*a. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -63*d**3 + 1. Is j(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3149136525*n**3 + 2 + 3149136517*n**3 - 2.\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 10:34 PM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*s**2 - 2*s)*(s - 5 + 5)*(-2*s**2 + 2*s**2 + s**2).\nAnswer: 2*s**5 - 2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9919 by -91.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 3522312 = -2*i - 3522322, -3*t = -2*i - 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, n: 1, j: 3, a: 5, c: 1}. Give prob of picking 1 c and 1 j.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-10))\/(((-564)\/4230)\/(-3*4\/(-162)))?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4963 times -29?\nAnswer: -143927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does -73999 = -73996?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -3*c - 45, 2 = -3*h - 1. Let w = c - -14. Suppose m - 3*m = w. Solve -5*g = d + 4*d + 30, m = 5*g + 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -22511*l + 496293. What is u(22)?\nAnswer: 1051","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 1370 = -h + 6*h, 548 = 2*h - 2*b. What are the prime factors of h?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -3)\/((-1)\/1). Suppose 4*v + 6*m - 13 = m, -2*m + 10 = 0. Let k = v + 1. Which is smaller: k or w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 27 - 147. What are the prime factors of 5*4\/z*-6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2 = 8, 5*c - 1938 = -3*s. List the prime factors of s.\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 9:13 PM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 9836 (base 10) to base 14\nAnswer: 3828","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.64 and -68?\nAnswer: 67.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -4 + sqrt(931) + 5 + sqrt(931) + -2 + (4*(0 + sqrt(931)) - sqrt(931)) + 2)**2 + 3.\nAnswer: 23278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -55? (a) -2 (b) 4 (c) -3 (d) 0 (e) -0.24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o\/o**(2\/9)*o*o\/o**(-6\/13) assuming o is positive.\nAnswer: o**(496\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/40*(-8)\/1. Let k(f) = -2*f. Determine k(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of s**5\/60 + 8*s**3 - 128. Let k(l) be the third derivative of g(l). Determine k(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 7 + 7)*(4*k - 5*k - k).\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*t**4 + 2 + 4*t**3 + 7*t**4 - 4*t + t**4.\nAnswer: -2*(t - 1)**3*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 - 16*t**2 - 462690*t.\nAnswer: 2*t*(t - 485)*(t + 477)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f. Let a(r) be the third derivative of -4*r**2 + 0*r + 13\/24*r**4 + 0 + 0*r**3. Give q(a(u)).\nAnswer: -13*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - g + 3. Let k(x) = 2*x**2 + 2*x - 5. Let c(o) = -7*d(o) - 4*k(o). Determine c(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 220 = 5*r, 2*r + 4*l = -r + 130. What is the remainder when 135 is divided by r?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67977 times -69.03?\nAnswer: -4692452.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/56)\/(6\/8). Let s = 82 + -411\/5. What is the second smallest value in r, -0.4, s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -173, -191, -219, -263, -329, -423, -551, -719?\n\"Answer: -g**3 + g**2 - 14*g - 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9669 or 9641?\nAnswer: 9641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 502931\/40 - 12572. Find the common denominator of i and (-5 - -9) + 254\/(-12).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 116, 882 in ascending order.\nAnswer: -12, 116, 882","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 10228334?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/3348 and -89\/615908.\nAnswer: 16629516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1291 is divided by 76?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10687024 and 5664?\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3581*q + 1350 = -3531*q for q.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + a - 17 = 2*c, 23 = 2*c + 3*a. Suppose c*j + 2 = 5*j. Let l = -1 + j. Solve -i + 4 = l for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -155 > -155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 8*g - 2. Let k be p(-7). Solve -2*n + 6 = -2*a, 5*n + 0*a = -5*a + k for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 302 = -3*m, -3*b = b + m - 228. Let y = b - 58. Let s(f) = 6 + 1 + y - 8 - f. Calculate s(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48142, 96286, 144436, 192592?\nAnswer: 240754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -124 + 131 - 3*l**4 + 7*l**4 + 0*l**4 + 4*l**2 in the form d*l**2 + x + y*l + h*l**3 + j*l**4 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/24 + (-15795)\/42120\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92927242 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -357*b*d**2 + 72*b*d + 65457*d**2 - 2919058*d wrt d?\nAnswer: -714*b + 130914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18863*a*t**4 - 3*a*t**2 - a - 3*t**6 - 9*t**4 - 238473*t wrt t.\nAnswer: 452712*a*t - 360*t**3 - 216*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, 5, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2159598 divided by 51419\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 10*i**2 + 7*i - 9. Let z be 1\/(5*(-3)\/(-30)). Let u be (2 - 1)*(-7 - z). Is 3 a factor of p(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 131341?\nAnswer: 131344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + r. Let p(n) = -3*n**3 - n**2. Calculate -p(a) + q(a).\nAnswer: 2*a**3 + a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.1 (b) -11 (c) -553233\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1022313013 (base 4) to base 9.\nAnswer: -516551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -35*x**2. Let a(s) = 5*s**2. Determine a(g(i)).\nAnswer: 6125*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.00264 + 1.00276. Let b = 6 + -5. Let c = n - b. What is c rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111111 + -10?\nAnswer: 100111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*g - 95*g + 6535 = -5*n, -4*n = 4. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**3\/7 - 73859*w**2\/7 + 886441*w\/7 - 116083 = 0?\nAnswer: -73871, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 280\/(-448)*(2\/2 - -1209). Let y = h - -760. What is the common denominator of -85\/26 and y?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3815 - 760 = -5*x. Let c = 898 + x. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3*r = -84, 3*r = 3*y - 19 - 29. Suppose -y*a = -13*a - 890. Is a a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c9 (base 14) in base 2?\nAnswer: -10110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19 and 489554.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17a68 - 6?\nAnswer: 17a62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i**2 - 179*i + 1156. Calculate r(6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-660)\/(-440)*(-65)\/30?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-54)\/(-9)*(1 - 0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43 by 2793760.\nAnswer: 43\/2793760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -207 - -298. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3, -88.8, 5, -4\/5, 1\/3, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4*f = 831 + 4645, 2*k + 6*f - 3642 = 0. Is k a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 198\nAnswer: -1\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 166310 to the power of 1\/2, to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - n - 43. Let h be l(0). Let v = h + 45. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (-6644)\/1089)\/((-1)\/(-39)) + (-312)\/468.\nAnswer: 36\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 divided by -8?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -3*m**5\/40 - 7*m**4\/8 - 15*m**3\/4 - 27*m**2\/4 - 15*m. Suppose g(n) = 0. Calculate n.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2595 - 532. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - 550)\/(63\/(-315)) a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 76026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46 - 114 + 2*g + 39)*(1 + 2 - 2).\nAnswer: 2*g - 121","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*g - 16*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 778573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18618743527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -18*j**2 - 59*j - 11. Let u be w(-3). Solve -5*x - 5*v - 10 = -30, u*v + 12 = 3*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -409092409*y**2 - 1558*y**3 + 409092409*y**2 + 1550*y**3.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 15624 and 699499.\nAnswer: 715123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -35 (b) 6 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 - 8034*u + 16136289.\nAnswer: (u - 4017)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 6029*i**2 + 1156*i - 1156*i.\nAnswer: -6029*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 18\/9 - 39\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(208) - sqrt(208)) + 3)**2 + (sqrt(208) - (sqrt(208) + (sqrt(208) - (3 + -2*sqrt(208) + sqrt(208)))**2)))*3.\nAnswer: -72*sqrt(13) + 3120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -377023104*d*r + 375885110*d wrt r?\nAnswer: -377023104*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 23 in increasing order.\nAnswer: 0, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 6*c - 13. Give g(14).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6214471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r - 10. Let m be j(10). Suppose 5*u = -m*u + 35. What is the highest common divisor of u and 42?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11681, -46657, -104951, -186563, -291493?\n\"Answer: -11659*l**2 + l - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.710912291 take away 2?\nAnswer: -3.710912291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8682508, -17365110, -26047712, -34730314, -43412916?\n\"Answer: -8682602*i + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*i**3 - 10*i**3 + 24*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10\/43 in -3\/5, 6, 0.2, 0.1, 156, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 199 - 41 - 21?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.151 (b) 2\/3 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 10*q**2 + 6*q - 1. Let r be m(-1). Let n(h) be the second derivative of 59*h**4\/12 - 2*h**3\/3 + h**2 - h. Is n(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4534 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 5. Let t(u) = 12*u - 10. Let s be t(1). Let i be (-385)\/70 + (s - -5). Sort 0.2, i, y.\nAnswer: y, 0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1127849483.\nAnswer: 223, 5057621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 6, 0.04, 2\/27?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = z - 4, 0 = 5*z - l - 21 - 11. Solve 2*w - 4*t = 22, w + 3*t + z = -3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l + 12. Let b be h(0). Let p be 6\/b*4\/(-2). Is 843\/(-2)*(p + -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w. Suppose 2*r - 5 = 3. Let x = r - -5. Let h(z) = -x*z - z - z. Calculate h(u(y)).\nAnswer: 11*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + (4 - -12) + -5 + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -607359 = 11999*b - 2155230 for b.\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 431528, 1726055, 3883584, 6904103, 10787600, 15534063, 21143480, 27615839?\nAnswer: 34951128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**4 - 159*g**3 + 2124*g**2 + 1092*g - 40560 = 0 for g.\nAnswer: -4, 5, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 708 + 74*k**2 - 708 to the form o + y*k + r*k**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 225643 and 160732?\nAnswer: 11733436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -24*a + 5. Let i(j) = 49*j - 9. Determine 6*i(g) + 11*s(g).\nAnswer: 30*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -18*b - 254. Give o(-17).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-21)\/(-270) - (-46)\/207. Which is the closest to 0? (a) j (b) 3 (c) -5 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -2*m + 65. Let y = m - 22. Let f = -8 - y. Solve -f = -5*o - 21 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -630*t = -4*k - 626*t + 16, 16 = -3*k - 4*t. Solve -2*d + 10*a - 7*a - 4 = k, -6 = 3*d - 3*a for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**2 + 15*l - 7. Calculate m(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z - 2. Let b be y(4). Suppose b*p - 8 = -0*p, -18 = -2*t + p. Does 11 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2 = 5*s, 2*s = s - 2. Solve -3*o + 25 = -5*t, -8*t + r*t - 3*o - 20 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - k**2 - 3)*(0*k**2 - 4*k**2 + 5*k**2) - 486207*k**4 + 234554*k**4 + 216088*k**4 to the form t*k + y*k**3 + a*k**2 + u + i*k**4 and give i.\nAnswer: -35566","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 4*d - 6690 = -d, -p - 1663 = -4*d. Let n be p\/(-15) - 4\/10. Is (n\/(-9))\/(1\/(-3)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 61 - 17 = -4*c, 4 = -h - 5*c. Let k = 36 + h. Suppose k = -2*r + 52. Solve 6*z - 3*f - r = 2*z, -f - 10 = -3*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-1) - (1 + 0). Let m = -5 + -1. Let y = m + 6. What is the second biggest value in y, t, -0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h + 20*h + 22*h - 39*h. Let s(i) = -15159*i**2 + 651*i. Let c(t) = 93*t**2 - 4*t. Let n(y) = -651*c(y) - 4*s(y). Give j(n(p)).\nAnswer: 93*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 10:24 AM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 411 is divided by 49.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (36\/(-6))\/(0 + (-15)\/320). Solve h*s = 123*s + 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-27))\/((-20)\/4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/49462 and -97\/28?\nAnswer: 98924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28438282?\nAnswer: 2, 14219141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty ninths of a week?\nAnswer: 22400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 69 - 30. Let u(h) = -4*h**2 - 346*h - 835. What is the smallest common multiple of t\/4 - 4\/(-16) and u(-84)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s - 24. Let r be l(10). Let a(v) = -4*v**3 - v**2 - 7*v - 6. Let b be a(r). Suppose -3*w = -1018 + b. List the prime factors of w.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (-1 + 5 + -8)) + -6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2001 - 1?\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 303 or 304?\nAnswer: 303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*(f*f*f*f**(3\/8)*f)\/f)\/(f**(-4\/9)\/f))**(1\/17) assuming f is positive.\nAnswer: f**(491\/1224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(45)*2)\/sqrt(9))**2 + (6*sqrt(20)*6)**2.\nAnswer: 16*sqrt(5) + 25956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l**4 + 75112000*l**3 + 352613284000000*l**2 = 0. What is l?\nAnswer: -9389000, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 4*x**2. Let g(z) be the first derivative of 0*z**3 + 0*z + 10 + 1\/12*z**4 - 2*z**2. Let v(w) be the second derivative of g(w). What is a(v(d))?\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 30*v**4 - 275*v**3\/6 - 80*v**2\/3 - 10*v\/3 = 0.\nAnswer: -1\/4, -2\/9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 434627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 20, 0 - 18 = -4*l - 2*t. Suppose 4*w = l*d + 10, 0 = -4*w + 4*d + 11 - 3. Find the second derivative of a - 4*a - w*a**5 + a wrt a.\nAnswer: -60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000176160018 to 5 decimal places.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 40, 245, 4, 42, 2 in descending order.\nAnswer: 245, 42, 40, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (225\/30)\/15*(2 + -8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -262? (a) -3 (b) -2 (c) 2\/11 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/32 and 47\/192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((-1)\/(-44)*2). Let k = n + 68\/3. What is the biggest value in k, -0.2, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -1119181?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ezzxzzppzzpfx. What is prob of sequence px?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z + 1776 = 3*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of 5*d**4\/24 - 49*d**2. Let g(a) be the first derivative of -a**2\/2 + 16. Determine g(n(c)).\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1378*v - 384*v - 3332*v - 5*v - v + 4*v + (0*v - 3*v + 2*v)*(2 - 3 + 3) + 0*v + 2*v + 0*v to g + w*v and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 - 3 + 3)*((-2*f + 6*f - 3*f)*(2 + 3 - 3) + (-5 + 4 + 0)*(0*f - 2*f + 4*f) + 0*f + 0*f - f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 50, 95, 162, 257, 386, 555, 770?\nAnswer: 1037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of 1\/210*d**7 - 1\/252*d**8 + 0 + 0*d**4 + 0*d**3 + 0*d - 16*d**2 + 1\/90*d**5 + 1\/40*d**6. Determine a so that z(a) = 0.\nAnswer: -1, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931)*2 + -1 + 3 + 1*sqrt(931) + sqrt(931) + 4*(sqrt(931) + (-2 + sqrt(931))*-6))**2 + 0.\nAnswer: -11200*sqrt(19) + 240836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7326, -13250, -19184, -25134, -31106, -37106?\n\"Answer: -h**3 + h**2 - 5920*h - 1406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.054 + 96356181?\nAnswer: 96356175.946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -7298?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -57 + 64. Suppose p - 3*p = i - w, 3*i = -2*p + 1. Solve -2*t + 0*t + 1 = p*l, -4*l - 10 = -2*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 741 and 761 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 5*q**2 + 3. Suppose s - 5 = -21. Let t(o) = -26*o**2 - 16. Let r(g) = s*j(g) - 3*t(g). Let b(x) = x. Calculate b(r(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dzrarjjbbdjjj. Give prob of picking 1 j, 1 b, 1 r, and 1 d.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-25))\/(202\/(-8080))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**4 - 2*x**4 + 6*x**4 + 3 - 3 - 2*x**4 + (-4*x**2 + 0*x**2 + 2*x**2)*(2*x**2 + 0*x**2 + 0*x**2) + x**2 - x**2 + 3*x**4.\nAnswer: x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2173446 and 594?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1073645.1 to the nearest 10000.\nAnswer: -1070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 185.7942 micrometers to centimeters.\nAnswer: 0.01857942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1896?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r. Let d(x) be the second derivative of -15*x**3 + 2*x + 70. Give d(g(l)).\nAnswer: -180*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1375 + 1529. What is the remainder when b is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 132567*b**5 - b + 7*b**3 - 132574*b**5 + 8*b**3 - b**2 + (3*b - 2*b**2 - 3*b)*(3*b**3 + b**3 - 3*b**3).\nAnswer: -9*b**5 + 15*b**3 - b**2 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ayadpdkdppv. Give prob of sequence pvvp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 10:25 AM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 429*l**2 - 199*l**2 - 242*l**2.\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -6*((5*sqrt(99)*-2)**2 - ((-2*sqrt(99))**2 + -4 + sqrt(99))) - ((2 + (0 + sqrt(99))*-4 + 2)**2 + 1).\nAnswer: -58647 + 114*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -463 divided by 97\nAnswer: -463\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jl when two letters picked without replacement from {d: 2, j: 9, l: 4, w: 1, o: 4}.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6.01 times -0.0714\nAnswer: 0.429114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5*r - 30353 = 0, -3*t + 5*r - 11000 + 33766 = 0. Let g = 2849 + -6937. Let c = g + t. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 3*k**2 + 5*k - 9. Let y be w(2). Solve 0 = -y*b + 15 - 5 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 times -0.09?\nAnswer: 1.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 - -31. Solve 10 = n*z - 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 5*g - 54 = 0, p - 2*g = g + 5. Let t = 417 + -855. What is the remainder when (-2)\/(-6) + t\/(-9) is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16986 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -20*d + 24*d + b, -73*d + b + 373 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d*i**2*n**3 + 57495*d*i**2*n**2 + 47415*d*i*n**2 - 2*d*i - 18*d*n**3 + d*n wrt i?\nAnswer: -2*d*n**3 + 114990*d*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3}. What is prob of picking 3 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/2 and 0.02 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*g + 12*g**3 - 7*g**3 - 13*g + 14*g**2 - 15*g to n + d*g**2 + f*g + i*g**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -25*w - 8. Let h be s(6). Is (-15 + 17)\/((-4)\/h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven eighths of a gram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -66469366 and -0.2.\nAnswer: 13293873.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 22*m**2 + 7*m - 202. Let l be i(-21). Sort 2, l, 5.\nAnswer: 2, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + i**2 + i + 1. Let m = 141 + -139. Let q(v) = 0*v**m - 8 - 6*v**3 + 5 + 4*v**3 - 4*v - 6*v**2. Calculate -q(s) - 4*t(s).\nAnswer: -2*s**3 + 2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 14. Let o(g) = g - 2*g + 2*g - 10*g + 6 - g**w. Let j be o(-7). What is the highest common divisor of 8 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -202 - -297. Let k be (t\/(-35) - 0) + 3. What is the closest to k in 2, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 17661 = -k, 4*k - 4063 - 66626 = r. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y + 10*y**2 + 31*y**2 + 2*y.\nAnswer: 41*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of 77\/30*g**6 + 0*g**4 + 105\/2*g**2 + 0*g**3 - 36*g + 0 + 0*g**5. Differentiate f(d) wrt d.\nAnswer: 308*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -868, -908, -948, -988, -1028, -1068?\n\"Answer: -40*r - 828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/48739 and -51\/17531?\nAnswer: 18179647","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 6:55 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -5*f + 4 - 6*f**2 + 2 + 112*f**3 - 113*f**3. What is t(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gbgb when four letters picked without replacement from bbbgbbgbbbgbbbbgbbbb?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**2 - p - 11. Let o(r) = -4*r**2 + 2*r + 24. Give -6*o(f) - 13*u(f).\nAnswer: -2*f**2 + f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*j + 1 - 134*j**3 - 7*j + 212*j**3 + 2*j to the form p*j**2 + u + a*j**3 + r*j and give a.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (23 + -26 + 13 - (3 + -2) - -67).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((18\/15*2)\/2)\/(261\/(-3480))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 11:22 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 + -16. Let t be (-170)\/51 - 4\/m. Let x = 7 + t. Solve 5*u - q = -14, 2*q = -x*q - 5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -2\/6295 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 44 (b) -30 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5*2 - (-8 - -11). Suppose -3*n - h = -u*n + 13, h - 2 = -n. Let x = n - -112. Does 27 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -34 - -101?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-3))\/((-4)\/6). Suppose -37*n + 189 = -10*n. Let z be s\/(-3)*42\/n. What is the highest common factor of z and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**3 + 209*j**2 - 1281*j + 1935 = 0.\nAnswer: -215, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c - -1976282?\nAnswer: 1976264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52.1 - -52. Let x = -2.4 - -2. Let l = x + j. What is the closest to -0.1 in l, 1\/4, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3721, -14933, -33623, -59797, -93461?\nAnswer: -134621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -426343.02 + 21.02. Let h = 426326.000048 + c. Let q = -4 + h. What is q rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3059416 is divided by 1435.\nAnswer: 1431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 509879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -1, -5, 13, 0.029?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - -1 - 3 - 28?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 5*i**2 - 1025*i + 13370 = 0.\nAnswer: 14, 191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 174*h - 5628 + 200*h - 580*h + 207*h in the form d + u*h and give d.\nAnswer: -5628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1315 is divided by 1284.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(108) + sqrt(108))*5 - (0 + 0 + sqrt(108)))**2*-1 + ((sqrt(108)*-2*-3 + sqrt(108))*6*-2)**2)*2.\nAnswer: 1506600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 125179 plus 2775?\nAnswer: 127954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -791, 0, 2 in increasing order.\nAnswer: -791, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9633755 meters to millimeters.\nAnswer: 963.3755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25196 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1304714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 7 = -3. Let w(f) = -4*f. Let n(q) be the first derivative of -13*q**2\/2 - q + 1. Calculate x*n(v) - 7*w(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-4))\/(-24)*((-21114)\/36)\/(-23).\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 207419099 to the nearest integer?\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -12*j**2 + 5*j + 2. Let p be h(-2). Let a = p - -70. What is the greatest common factor of a and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 91*j**5 - j**3 + 300*j**2 wrt j?\nAnswer: 5460*j**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cmvcvcvc. What is prob of picking 1 c and 1 m?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -1, -0.4, -2.8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 453271 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*r**5 - 2561*r**4 + 4*r - 144 wrt r.\nAnswer: -40*r**3 - 30732*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(7) - (sqrt(7) + -2 + -3)))**2.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 9*v**2 - 6*v + 10. Let z = -10 - -18. List the prime factors of h(z).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 23, -5, 1007, -2\/5 in ascending order.\nAnswer: -5, -3, -2\/5, 23, 1007","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7104*p**2 - 1 - 14254*p**2 + 1 + 7098*p**2.\nAnswer: -52*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 9 = 4*o, 3*o + 4 = 1. Let m be (11\/(-55))\/(f\/5). Let s be (-5)\/(-2)*(3 + m)*-1. Put s, 4, -9 in ascending order.\nAnswer: -9, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11683073 to the nearest integer?\nAnswer: 3418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 10}. What is prob of picking 2 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5675?\nAnswer: 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32536 divided by 8134.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 660\/528 - 53\/4?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 74262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 4)\/((-4)\/(-2)). Determine y so that 1\/3*y - 1\/3*y**3 + 1\/3*y**g - 1\/3*y**4 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 28*a**2 + 3*a + 11. Let x(l) = -9*l**2 - l - 4. Determine -4*d(k) - 11*x(k).\nAnswer: -13*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 3*s**5\/10 + 9*s**3\/2 - 615*s**2\/2 + 3*s + 71. Differentiate l(m) with respect to m.\nAnswer: 18*m**2 + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1042\/3 + 977\/3. Find the common denominator of c and 181\/(-30) - ((-1450)\/(-75) + -20).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6109 (base 13) in base 12?\nAnswer: 7894","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 0*g + 4*g)*(-1 + 2 + 1)*(1708 - 5211 + 1851)*(6 - 1 - 3).\nAnswer: -13216*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -414 + 428. Solve -4*s - 7 = -5*c + 3, -2*s - 2*c = l for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 21 = -3*r, -2*r - v + 25 = 4*v. Let q = 0.5342 + -0.5142. Which is the biggest value? (a) q (b) -3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 76 + -73. Find the third derivative of -17 + 17 - 3*x**2 - 39*x**i + 10*x**2 wrt x.\nAnswer: -234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 31102?\nAnswer: 31102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 5*c - 8 = 48, -3*c + 2262 = -598*f + 13636 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36\/25 + -191\/25. Let v = 8480769\/18020 - -249\/3604. Let l = v - 479. Calculate the common denominator of l and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 8*d - 91. What is the second biggest value in 0.2, d, -2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -2 + -10 + 8 + -14?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 2*h**2 + 13*h - 11. Calculate s(3).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 30.76748km?\nAnswer: 3076748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of -19*c**7\/210 - 2*c**5\/15 - 39*c**2. What is the third derivative of x(n) wrt n?\nAnswer: -456*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1478004*r**4 - 7534238 wrt r?\nAnswer: -5912016*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 82 - 48. Suppose -3*v + v - k = -16, -p = -5*v - 4*k. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 0.33.\nAnswer: 0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express t**2 + 81*t**3 + 16*t + t**4 - 17*t + 35 - 81*t**3 in the form q*t**2 + m*t**4 + v*t + a*t**3 + k and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 4) to base 8\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -y**4\/12 - 16*y**3\/3 + 520*y**2 + 4134*y. Let l(x) = 0. What is x?\nAnswer: -52, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 979247992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -1\/4 (b) 2 (c) -974 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -v**6\/30 + 35*v**4\/12 - 2*v**3 + 2499*v**2 - 1174*v. Find the first derivative of j(u) wrt u.\nAnswer: -4*u**3 + 70*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4881987 and -1.04.\nAnswer: 5077266.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 2021*h + 8095. Let a be s(-4). Let w(l) = l - 1. Let g be (6\/(-4) + 2)*2. Let x be w(g). What is the second smallest value in x, 4, a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280630?\nAnswer: 2, 5, 7, 19, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -71 divided by 13\nAnswer: -71\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - (-1 + 2)*-11. Suppose 0 = 3*j - 3 - l, -2*j = 2*k - 34. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1015 and 4.\nAnswer: 4060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -5*b + 25 + 50, -55 = -4*b + 3*o. Suppose -b = 3*g - 40. What is the units digit of 3*(g\/3)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10425, -10486, -10587, -10728?\nAnswer: -10909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 116333 + -5?\nAnswer: 116326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -5*k + 219, -4*r + 4*k = 6*k - 876. List the prime factors of r.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -f**5\/20 - 13*f**4\/3 + 35*f**3\/6 + 4011*f**2 + f + 2. Factor k(g).\nAnswer: -(g + 35)*(3*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*k**2 - k - 91*k**2 + k.\nAnswer: -66*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -1\/30*a**5 + 0 - 1\/8*a**4 + 1\/120*a**6 + 0*a + 9*a**2 - 2\/3*a**3. Calculate j(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -65 - -30. Let o = i - -32. Let g = 53\/5 + -11. What is the smallest value in -2\/41, g, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 4 = 2*g, -3*o + 0*o = 0. Let a = 6 + g. Find the second derivative of -l**5 - 7*l + a*l + 2*l wrt l.\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52*(-3)\/27 + -6\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -390.00000193 - -390. What is y rounded to 7 dps?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 11.408, 0.019049 in descending order.\nAnswer: 11.408, 1, 0.019049","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z + 9*z - z + 0*z as s + w*z and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 29*k**2 - 103*k + 658. Give v(26).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 296.94538436 plus 0.003?\nAnswer: 296.94838436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34299 and 4120?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 19*r**3 + 188*r - 187. Give c(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 9 = -d, 2*d = 5*m - 2*m + 23. Calculate the remainder when 5 is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 47 = 4*r - 76, -5*o - 15 = 0. Suppose -r = -5*s - 3*j + 4*j, -3*s + 3*j + 27 = 0. What is the remainder when s is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.7014 + 1.3324. Round o to one dp.\nAnswer: -5.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**2 - 3*u**2 + u**2 + 0*u**2. Let d(y) = -y**2. Give d(q(l)).\nAnswer: -16*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/77 and -1\/112.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 351 a factor of 159119366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -14*g - 112 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 6*k**2 - 41*k + 7. Let h be g(8). Suppose -45*l = -38*l - h. What is the closest to -1\/4 in -2, l, -0.07, 0?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of 7*q**3\/3 + 3*q**2 + 3*q + 20. Let h(d) = -1. Let l(b) = -4*h(b) - o(b). Let i be l(-2). Is -0.1 greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(2448)*5 - (3 + sqrt(1088))).\nAnswer: -2 + 52*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tuff when four letters picked without replacement from attuwttfmufutfm?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282209?\nAnswer: 43, 6563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 + -64. Is 10 a factor of (56\/m)\/(1\/(-15))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3139 + 6119 + 172*d - 2980.\nAnswer: 172*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/(-10))\/((-634)\/(-82420)))\/(2*24\/(-16)).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31846 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 486 and 48028707?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18488805 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -1033*o + 465. Is i(-26) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 16) to base 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 340*v**5 - 19*v**5 + 36*v**5 + (3*v**5 - 3*v**5 + 3*v**5)*(1 - 3 + 4) - 4 - 2*v**5 + 4.\nAnswer: 361*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5923580227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1655?\nAnswer: 5, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(567) - sqrt(567)*-2) + 1 + -3 + 4)**2 - ((sqrt(567) - (sqrt(567) + -2)*4)**2 + ((sqrt(567)*-4*5)**2 - sqrt(567)))) + 0.\nAnswer: -226860 + 549*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - 5*r + 7. Let q be m(4). Suppose q*k - 60115 = -14626. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 1:07 AM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-25 - 20 + 9)*(2 + o**2 - 2) in the form g*o + h*o**2 + t and give h.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 283214426?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*b + 67*b + 611000000 = 0. Round b to the nearest 1000000.\nAnswer: 122000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-30)\/(-35))\/(12\/56). Solve -3*g + 2 + 13 = -3*z, -d*z + 2*g - 10 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n - 38. Let o be p(-19). Solve o = -4*j + 1 + 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 3*d**2 + 5*d + 5. Let f be c(-3). Let b = -5 - f. Suppose i = -b*i. Solve i = 5*l - 2*z - 18, 0 = l + 3*l - z - 12 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -179, -493, -1097, -2093, -3583, -5669, -8453?\nAnswer: -12037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9468 (b) -0.3 (c) 0.2 (d) -5\/4 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -9494, -9359, -8984, -8243, -7010?\n\"Answer: 21*o**3 - 6*o**2 + 6*o - 9515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = w - 4*l - 9, 5*w - 4*l = 24. Suppose -w*h - 1239 - 22 = -3*u, -2067 = -5*u - 2*h. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*q**2*y - 19*q**2 - 3*q*y - 15*q - 35214*y wrt q.\nAnswer: 4*q*y - 38*q - 3*y - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2678 and 0.3339?\nAnswer: -894.1842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 73390097 and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v - 6. Let m be z(9). Suppose -32 = -m*p + 265. What is the remainder when p is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/403, -324, 0.2 in increasing order.\nAnswer: -324, -2\/403, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -16. Let l be k + 6 - (-1 - -2)*-3. Let c(n) = 3*n + 2. Determine c(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 555876556 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 889*r**3 - 6389*r**3 + 0 + 0.\nAnswer: -5500*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -191, -395, -609, -839, -1091, -1371, -1685?\n\"Answer: -l**3 + l**2 - 200*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - -1 - ((10 - 1) + -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m**4*m))\/(m\/m**(-1\/6))*m**(-6)\/m**(-4\/7) assuming m is positive.\nAnswer: m**(-403\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -2*q - 2, -3*q + 57 = -2*i + 60 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -1. Let g = -30.2 + 25.2. Which is the nearest to w? (a) -4 (b) -0.5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.009851 to four decimal places.\nAnswer: -0.0099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 702*h - 114 = 740*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4)\/x*x*(x\/(x**1\/x))\/x)\/((x*x\/((x*x\/(x**(-7)\/x))\/x)*x*x)\/(x*x**(-1\/16)*x)) assuming x is positive.\nAnswer: x**(47\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*g + 37*g + 208 = 2*p + 346, -4*p = -7*g + 966 for g.\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.34 and -1.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**3 + 3*o**3 - 7*o**3)*(0*o + o - 2*o) + 17*o**4 - 35*o**4 + 21*o**4.\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.6 + 0.1. Let r = 0.1 + z. What is r rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*v = -79*v + 108 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 78 - (-730 + 710).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38260398?\nAnswer: 2, 3, 11, 281, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 599614 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -9342830 rounded to the nearest 100000?\nAnswer: -9300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 + 71. Let c(n) = -9*n**2 + 5. Let k be c(-2). Let y = k + g. Solve 3*m - 4 = -2*d, y = -d + 2*d + 4*m for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1155 + -1155.0927. Let p = 0.2 + -0.1. Let o = s + p. Round o to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 21*q + 436. Let d be m(-21). Let r = 1 - 3. Put d, r, -4, 5 in descending order.\nAnswer: 5, r, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115405*l**2 - l + l + 115382*l**2.\nAnswer: -23*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*q**6 - 304*q**4 - 2383*q**2?\nAnswer: 240*q**3 - 7296*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1598*s**3 + 553609 - 553609.\nAnswer: -1598*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17362471793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-6) - (-2 + (-31)\/(-3)). Let g be (-2 - -1) + (-2)\/(f\/492). Suppose -v = 45 - g. List the prime factors of v.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 552425.00106 + -552406. Let u = 19 - y. Round u to 4 dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -681, -711, -739, -765, -789, -811?\n\"Answer: x**2 - 33*x - 649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -39*b - 46*b - 44*b - 2 + 112*b + (4 + 2*b - 4)*(-3 + 2 + 2) + 6*b - 3*b + 0*b.\nAnswer: -12*b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2290 is divided by 82?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) 3419 (c) 1452\/7 (d) 1 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -22887, -22886, -22885, -22884, -22883, -22882?\n\"Answer: w - 22888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + (5 - (2 + 0)). Let d be (2 + -2)\/((-2)\/u). Let q(y) = -y + 3. What is q(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 947787 (b) -2\/3 (c) -4 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-17)*m**40)\/(m**(-29)*m)**44)**5 assuming m is positive.\nAnswer: m**6450","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 905 = 150*k - 145 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.07 + -0.13. Let s = -0.36 - x. What is the second biggest value in -1\/3, s, -8?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -29*w + 89. Let g be f(3). Solve -h + 2*l - g = -2*h, 2*h + l - 1 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*v**2 + 28*v**2 - 7*v**2 + (0*v - 2*v + 4*v)*(4*v + 2*v - 5*v) - 4*v**2 - 5*v**2 + 4*v**2 + v**2 - 2*v + 2 + 1 + 0.\nAnswer: 27*v**2 - 2*v + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5 + (-4*(0 + sqrt(1872)) + sqrt(1872) - (1 + sqrt(1872))*6)**2)*-1.\nAnswer: 3888*sqrt(13) + 455019","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 5*v**2. Let f(s) = -44*s + 86. Calculate d(f(h)).\nAnswer: 9680*h**2 - 37840*h + 36980","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -280432 and -0.1.\nAnswer: 28043.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/800 and -71\/459840.\nAnswer: 2299200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 31*x**2 - 16*x + 71. Determine a(3).\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 1612082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -297971*o*u + 508679*o wrt u.\nAnswer: -297971*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 67*a**3*i**2 - 265743253*a**3 + 387006*a*i**2 wrt i?\nAnswer: 134*a**3*i + 774012*a*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -693, -974 in decreasing order.\nAnswer: 0, -693, -974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 31. What is z(10)?\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t**2 - 6*t**2 - 6*t**2)*(-3 - 3 + 0) + 4*t**2 - 3*t**2 + 0*t**2 + (2 + 1 - 2)*(-t**2 + t - t) + 2*t**2 + t**2 - t**2 - 48*t**2 + 154*t**2 - 40*t**2.\nAnswer: 104*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 168*p - 7 - 178*p + 44*p + p as z + r*p and give r.\nAnswer: -301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((-1*sqrt(99) + sqrt(99))\/sqrt(9) - (-1 + sqrt(539)))**2 + -1).\nAnswer: -1078 + 28*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -6*v**2 + 4*v + 2*v**2 + 3*v**2. Let q be d(4). Let c = -4522 + 76876\/17. Are c and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d + 47 - 3*d + 6*d.\nAnswer: -d + 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n - 3*n**3 - 11*n**3 + 0*n**3 to m*n**2 + t + y*n**3 + c*n and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/6*120\/80. Let v(s) = -2*s - 27. What is v(c)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17721*p + 64 = 17726*p - 4*d, -4*p + 2*d + 56 = 0 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - 5*k - 4. Let j(d) = -d**3 - 9*d**2 + 10*d - 5. Let r be j(-10). What is g(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.5632 - 3818663646.\nAnswer: -3818663644.4368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {z: 5, w: 1, y: 5, r: 7}?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16900 divided by -169.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3556*g**2 + 3581*g**2 + 0 + 0.\nAnswer: 25*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4*j + 14. Let b(c) = -c**3 - 11*c**2 - 9. Let y be b(-11). Is x(y) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1038046 and 18.\nAnswer: 9342414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**2 - 4*y + 29. Let u be m(-27). Let d = u - -2108. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20949011023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-25)*(-9)\/(-12)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of ((-12)\/15)\/(-2) - 2956\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100210112200 (base 3) to base 2\nAnswer: -101111000101010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**3)**(-39)*b**(-3\/10)\/b**(-9) assuming b is positive.\nAnswer: b**(-1473\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-6) + -1)*-6. Suppose 5*i - 4*h - 29 = -s, 13 = 2*i + 3*h. Solve k = -4*u + i, -3*u + 2*k = -3*k - 21 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 94 (b) 0 (c) -11\/516 (d) 3\/2 (e) -0.3 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mjjnmjfifnmffyyfjf. What is prob of picking 1 n and 1 m?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 3:51 AM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.105341 + -2.94358. Let b = 0.162 - p. What is b rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 73, 121, 169, 217, 265?\nAnswer: 313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6099.648 centuries?\nAnswer: 60996.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 d when two letters picked without replacement from {y: 1, u: 6, d: 2, n: 5, i: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -0*z + 44. Let w = -12 + z. Is -1\/18 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4192217 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2159258, 4318791, 6478324, 8637857, 10797390?\n\"Answer: 2159533*t - 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 + -273 - ((-33 - -33) + (0 - (0 + -6)))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -33 + 36. Suppose -2*f + 182 = -0*u - 4*u, 5*f - 448 = s*u. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pmhyyhmsfpppppp. What is prob of sequence phps?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2909 and -6889515781.\nAnswer: -6889512872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 115*y + 124*y - 240*y. Let q(x) = -5373*x**2 - 1. Calculate j(q(r)).\nAnswer: 5373*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.3 (b) 0.4 (c) 0.1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1923 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 628010532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11*1026\/(-1463) - 8?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -104 + 228. List the prime factors of n.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nmmrjog. What is prob of sequence ngmm?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, j: 1, y: 2, p: 11, u: 1, e: 2}. What is prob of picking 1 j, 1 i, and 1 e?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 333 = 2. Let b = -37 + o. What is the remainder when b is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 22*g + 1. Suppose 38*r - 115 = 33*r. What is the remainder when b(3) is divided by r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/4, 258, -0.0405?\nAnswer: -0.0405","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 6 - 1 + 8)*(-v**2 + 2*v**2 + v**2).\nAnswer: 2*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 284 less than 0.9836450317?\nAnswer: -283.0163549683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 24*a - 149. Give w(17).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**5\/11 - 2*o**4\/11 + 4*o**3\/11 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*c**2*j**3 + 449981*c**2*j**2 - 4*c**2*j + 28*c*j**4 + 639*c*j**3 - j**3 wrt j?\nAnswer: 60*c**2 + 672*c*j + 3834*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -381714? (a) 0 (b) -2\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -624 (base 8) to base 7\nAnswer: -1115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**2 + 6*o. Let b(w) = 4*w**2 - 12*w. Give -2*b(z) - 5*h(z).\nAnswer: 2*z**2 - 6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 177 divided by -3\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -17*d**3 - 5*d**2 - d + 29. Let m(g) = -6*g**3 - 2*g**2 + 10. Let y(j) = 8*m(j) - 3*t(j). List the prime factors of y(4).\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 5*t - 36. What is the remainder when (-50)\/(-8) + (-2)\/8 is divided by (9\/(-2))\/(-3)*4\/t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d - 7. Let y be c(6). Suppose k = y*k - 88. Let t = 43 - k. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 5:33 PM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 23*b**2 - 36*b - 73. Let o(d) = -4*d**2 + 7*d + 15. What is -2*f(x) - 11*o(x)?\nAnswer: -2*x**2 - 5*x - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39801?\nAnswer: 3, 13267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80 (base 11) to base 13.\nAnswer: 6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243 is divided by 166.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 5*t - 2. Let h be (2 - (-2)\/4)*-2. Let f be y(h). Let r be f\/(-5) - (-4000004)\/(-10). Round r to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4106509 is divided by 4106420?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ahrhpyvaahayhhapr. What is prob of picking 4 y?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*3\/((-36)\/(-39)). Let z = q - 17. Let s(j) = -j**3 - j**2 - 4. Let c be s(z). What is the greatest common factor of 11 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1201 + -1202. What is the closest to -1\/4 in -0.6, -0.9, t, -2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 8*i. Let b(d) = 11*d**2 - 3*d**2 - 6*d**2 + d**2 - 6*d**2 + 2. What is s(b(g))?\nAnswer: -24*g**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1789369 and 10251?\nAnswer: 1139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a meter in millimeters?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (0 + 1 + -6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*d - 15*d + 38*d.\nAnswer: 39*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a**2 + 24071 + 7*a**2 + 12*a**4 - 24080 + (4*a - 6*a + 4*a)*(-a + a**3 + a) + 5*a**4 + a**4 - 5*a**4.\nAnswer: 15*a**4 + 3*a**2 - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1)\/h**(-1\/4)*h*h\/h**(2\/13)*h*h*h*h**(-2\/3)*((h\/h**(-1))\/h)**(2\/15)*(h\/(h**(-1\/2)\/h))\/(h**(-1)*h) assuming h is positive.\nAnswer: h**(4729\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 3 (b) -26 (c) -0.3 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 - (-8 + 11) - 29.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001043 to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is de2 (base 16) in base 12?\nAnswer: 2082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*-1 + (-25)\/(325\/(-26))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of -y**5\/30 - 8*y**2 + 3*y. Let x(r) = -10*r - 2*r - 17 + 17. Determine x(d(g)).\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/5 + 48\/165)*-6?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -12645 divided by 5\nAnswer: -2529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -38799a (base 12) to base 3\nAnswer: -1202001002101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 414 - 5?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 400, 355, 314, 277, 244, 215, 190?\n\"Answer: 2*d**2 - 51*d + 449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 4*r - 6. Let q(d) = -2*d + 3. Calculate 3*a(p) + 7*q(p).\nAnswer: -2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -5. Suppose -2*f = -r + 10. Sort -1, -4, f in decreasing order.\nAnswer: -1, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 1 + 12. Suppose 22*o - 77 = d*o. Calculate the least common multiple of o and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20254060 (base 7) to base 2\nAnswer: -110011101100110100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/10 - 22\/55. Suppose 4*k + 1 + 7 = r. Sort k, 3, -1 in decreasing order.\nAnswer: 3, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212535 (base 10) to base 2.\nAnswer: 110011111000110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h - h + h + (2 - 4 + 1)*(1 - 2*h - 1) - h + 2*h - 4*h)*(-2747 + 2747 - 215*h**4).\nAnswer: 1075*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 16*x = -60 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2559)\/(-57) - (-16)\/152?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42957 and 37925.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44979557*0.1.\nAnswer: 4497955.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20439908 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8669553, -8669545, -8669523, -8669481, -8669413, -8669313?\nAnswer: -8669175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 153792 and 84016?\nAnswer: 1424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1806813 is divided by 361298?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 894684 is divided by 1556?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 6, -4*r + 3*f + 32 + 34 = 0. Solve 4*x - 22 = -3*h, -6*x = -3*x - r for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/113 or -0.0282?\nAnswer: -0.0282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/40193 in -6, 0, 11, -3\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooboobooobobb. Give prob of sequence oobo.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 5*l + 0)*(-4 - 7 + 6) to the form r + j*l and give j.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/5 of a week?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 282c60 (base 13) in base 14?\nAnswer: 1b638a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -58\/91 - 4177\/728. Let r be ((-17)\/3)\/(42\/9). Let f = -26\/7 - r. Find the common denominator of b and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2861246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21587115 is divided by 21587096?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-5*(-10)\/75)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -518973702 divided by -86495617\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 + 3 - 6)*(24*n - n + 264*n + 301*n).\nAnswer: 12348*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2178, 4596, 7510, 10914, 14802, 19168, 24006, 29310?\nAnswer: 35074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 381 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30054249 by 51.\nAnswer: 589299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -w - 13, 15 = -15*w + 13*w - 5*l - 18 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*i = 2401, 5*i = 3*c + 3*i - 3569. Suppose c = 42*g - 10399. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -2*l**5\/25 + 3*l**4\/10 - 2*l**3\/5 + l**2\/5 - 8. Find a, given that k(a) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*r - 8 - 4 + 34 - 12 - 8 to the form f*r + v and give f.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(495)\/(sqrt(144) + sqrt(144)*1))\/((sqrt(2662)*1)\/sqrt(2)*-3).\nAnswer: 5*sqrt(5)\/264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4573500460 to the nearest integer?\nAnswer: 1660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-56)\/(-12)*64347 + (17 - 2 - 8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -27*z**2 + z - 58. Let j(i) = 7*i**2 + 15. Let o(n) = -23*j(n) - 6*k(n). What is o(9)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/(-8))\/1)\/((-70)\/(42000\/225))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -64 - -37. Let c = -26.9999948 - d. What is c rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2619444?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 62\/13, -3, 67, -2\/11, 2\/9 in ascending order.\nAnswer: -3, -2\/11, 2\/9, 62\/13, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1938\/(-684) + (-4 - -7 - (-6)\/(-4))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 93420.61112 to the nearest ten.\nAnswer: 93420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 8*d - 13 + 3 + 15.\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 11861.8?\nAnswer: -1186.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j**5 + 497*j**3 + 454*j wrt j.\nAnswer: -40*j**3 + 2982*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-392)\/616*4\/(-14) - 32330\/(-55) is divided by 117?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 7738926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 832 is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51266692253\/7598330 - 9\/759833. Suppose 3*m = -g - 14101 - 6119, -2*m = -2*g + 13472. Let l = m - i. What is the common denominator of l and 101\/96?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 26\/13 + 1 - -2. Let p = -2 - 0. Put 2, -5, p, k in increasing order.\nAnswer: -5, p, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 82\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/3)\/(x**4*x*x*x)*x\/(x\/(x\/(x*x**9)))*x*x**(-6) assuming x is positive.\nAnswer: x**(-65\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 4. Let l(v) = -v + 1. Let c(m) = 2*m - m - 50 + 50. Give j*l(k) + 3*c(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 400 and 3700.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/(-20) - 100\/(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a factor of 133104995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*l + 402954 + 278154. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (48*19\/14)\/(2\/(-28)). Is -911 not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 408 - 389. Let a(w) be the first derivative of -w**3\/3 + 19*w**2\/2 + 47*w - 2. Does 8 divide a(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1316*p**2*u*x - 4*p**2*u + 403*p**2 - 6*p*x + 2*p - 2*u*x wrt u?\nAnswer: -1316*p**2*x - 4*p**2 - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**3 - 2. Let f be y(-2). Let t be (f\/21)\/(4\/28). Does 25 divide t\/(-4)*-2 - -53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of 0 - 5\/6*w**3 - 1\/20*w**5 - 19\/2*w**2 + 2\/3*w**4 + 201*w. What is b(7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than -63269.644?\nAnswer: -63274.644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -3.06. Let q = x - -0.06. Which is the third biggest value? (a) -2\/11 (b) q (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1192242 is divided by 724?\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4834*m**2 - 3021*m wrt m?\nAnswer: 9668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 271952903 to the nearest integer?\nAnswer: 16491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -20*x + 2\/19*x**2 + 950 = 0.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/2)\/((-9)\/(-24)) + -2. Let w be (5 + -3 - -1)\/(d\/(-44)). Solve -w = -4*u - 2 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 346151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 218 by 6.\nAnswer: 109\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 16. Let v = -3.7 + 5.01. Let x = -1.01 + v. Which is the fourth smallest value? (a) -5\/2 (b) 2\/11 (c) x (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2)\/y)**(-1\/16)*((y\/y**(2\/11))\/y)\/y*y**4\/y)**7 assuming y is positive.\nAnswer: y**(2471\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2. Let u be ((-1)\/3)\/(1 + (-32)\/24). Let p(z) = -365*z**2 - 6*z. Let f(d) = -d**2 + d. Let r(l) = u*p(l) + 6*f(l). Give v(r(a)).\nAnswer: 137641*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 718 - 377. Let k = -26 + 57. Calculate the greatest common divisor of t and k.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/3)\/2*1. Let w(f) = 0*f - f - 15*f**2 + 9*f**a. Calculate w(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 90815.\nAnswer: -3\/90815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -143770*b**3*v**2 - 2*b**3 + 3*b**2*v**4 + 10736*b with respect to v.\nAnswer: -287540*b**3*v + 12*b**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12675\/69652 + 1\/6332. Sort -19, g, -1, 177, 0.1 in descending order.\nAnswer: 177, 0.1, g, -1, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 1:25 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**2 + 5*z - 3. Let u be 6*2\/3*-1. Is d(u) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -19. Let p(x) = -2*x**2 + 4*x. Let u(h) be the second derivative of h**4\/4 - 3*h**3\/2 - 235*h - 16. Give k*p(i) - 4*u(i).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*((170\/(-12))\/17)\/(-12*9\/(-432)).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -695 + 767. What is the greatest common factor of r and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4 = 10. Is u\/(-8) + (-895)\/(-20) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 7 = 5. Let k be 6 + (-1 - m) + 2. Solve k*d - 2*d + 6 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 5*k - i, 2*k - 1 = i - 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/5 of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 22, -72, 0.4?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 7. Let z be 10\/35 + (-4)\/14. Suppose z = 3*y - 4*y + 2*y. Solve y = l - s*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/6)\/(-4*3\/(-8))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*q + 45 = -128*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 14415 = -20*l. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 868.98121 - 869. What is v rounded to 3 dps?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4588099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.16 and 2.36?\nAnswer: 2.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.44152 grams in micrograms?\nAnswer: 72441520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5583475 and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*v = 78, -61 = -3*u - 5*v - 13. Let p = u - -1. What is the third derivative of 40*h**2 - 8*h**2 - p*h**5 - 7*h**2 wrt h?\nAnswer: -1320*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 1 - 2*i**2 + 648*i**3 + 4*i**2 - 2*i - 92*i**3. Is g(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.4780137 rounded to zero decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2640717 less than -856?\nAnswer: -2641573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z**3 + 15*z**2 + 22*z - 15. Give j(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 4*d = 8, 10*d - 10 = -5*c + 12*d for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -882 + 882. What is the nearest to 0.2 in j, -4\/5, -2, -7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z**2 - 6*z + 14. Let v(f) = -f**2 - 6 + 2*f - 4*f**2 + 1 + 4*f**2. Let m(h) = 4*j(h) + 11*v(h). Solve m(a) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - f**2 - f - 1. Let s(r) = 4*r**3 + 4*r**2 + 3*r + 9. Let b(y) = 4*a(y) + s(y). List the prime factors of b(2).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49577 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -88376660 divided by -8837666?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -163, -0.3 in increasing order.\nAnswer: -163, -0.3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 4*j + 2. Let d = 53 - 50. Calculate the remainder when d is divided by t(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 545, -388, -1925, -4066, -6811, -10160?\nAnswer: -14113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 5*i**2 - 10*i + 3. Let m be j(-5). Differentiate -18*g + 48*g + 39*g - 50 + m*g with respect to g.\nAnswer: 122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1546 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 6*n - t = 29, 28 = 5*n - 2*t. Suppose 72 = 6*i - 102. Suppose -7 - i = -4*h. Calculate the greatest common divisor of h and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 10 = 9. Suppose 0 = -2*z + 5*z. Put z, m, 5 in decreasing order.\nAnswer: 5, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 4 = 4*x, 3*t = -6*x + x + 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**5 + 30*a**4 + 22*a**3 - 86*a**2 - 24*a + 56 = 0?\nAnswer: -14, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30786, 61560, 92326, 123084?\nAnswer: 153834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 12020101111210?\nAnswer: -12020101111211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + sqrt(68) + 1 + (1 + sqrt(68))*3)*3.\nAnswer: -72*sqrt(17) - 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -52*g**4*t - g**3*t - 2*g**2*t - 38*t with respect to g.\nAnswer: -208*g**3*t - 3*g**2*t - 4*g*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38334058?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, u: 7, s: 7}. What is prob of sequence vvsv?\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, e: 4, j: 1, s: 1, f: 3}. Give prob of picking 1 h and 1 j.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -13737000 to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -604 smaller than -597?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d = -57 - 60. Solve 2*r + 2*y = -y + d, -2*r + 5*y + 1 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 39*t**2 + 10*t - 12. Is j(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*f**3 + 3043847*f**2 - 17586984*f - 4058532.\nAnswer: (f - 6)*(f + 338211)*(9*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17835 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b14 - -75?\nAnswer: -a9f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 9. Let d(v) = -v + 1. Determine -c(w) + 3*d(w).\nAnswer: -3*w - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 8:36 PM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-5))\/((-2)\/60). Suppose 0 = 5*s - 132 + 172. Let w be s*((-66)\/v)\/11. Solve 0 = 6*y - 5*y + w for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*r + 7, 2*r + 0*n + 6 = 4*n. Suppose 5*t - 67 = 5*k - 2, 0 = -3*t - 4*k + 46. Solve 5*s - t = -h, r*h + 3*s - 6*s - 14 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 3*n**2\/5 - 1328778*n\/5 + 147137581107\/5 = 0?\nAnswer: 221463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-4) - 15\/(-6). Suppose -o*c + 404 = 2*y - c, 2*c = -8. Let p = -117 + y. What is the remainder when p is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.03, 2, -0.2, 301\/5, 17?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 27870 divided by 6\nAnswer: 4645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -0*k + 10. Is k + (-6)\/(-2) - -234 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -262983413872474 - -0.4?\nAnswer: -262983413872473.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 756267 + 4?\nAnswer: 756273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -q**4\/6 - q. Let h = 172 - 169. Let o(l) = 17533 - 17533 + h*l**2 - l**2. Determine z(o(v)).\nAnswer: -8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -130*s**2 - 7*s**2 - 12*s**2 - 312*s**2 + 541*s wrt s.\nAnswer: -922","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 6132822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence maia when four letters picked without replacement from {j: 1, m: 1, u: 2, i: 2, a: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*n**5 - 2605*n**4 - 146156*n**2 + 3*n wrt n?\nAnswer: 120*n**2 - 62520*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 476*n + n**2 - 105*n + 108*n to the form p + g*n**2 + a*n and give a.\nAnswer: 479","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 9) in base 11?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - g = -8240, -2*n + 6*n - 4*g - 6568 = 0. List the prime factors of n.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + 4*b + 4. Let u be f(-4). Suppose u*x - 16 - 92 = 0. Is x - 2 - -1 - 0 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p**3\/7 + 6512964*p**2\/7 + 5302291917120*p\/7 - 10604766198016 = 0.\nAnswer: -1628248, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/9 (b) -2\/13 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 11:22 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4 + 0.9. Let m = f - 0.26. Let k = m + -5.64. What is k rounded to zero dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fffl when four letters picked without replacement from fflflll.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.81 + 0.19. Let n = -6.745 + 0.045. Let q = n - -7. What is the closest to 1\/2 in 2, q, u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, c: 1, r: 3}. Give prob of sequence cr.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11592799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 59076728 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1278 = -10*x + 1022. Calculate the greatest common divisor of x and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -68119658*o**3 + 891179*o + 11 wrt o?\nAnswer: -408717948*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -13. Suppose -6 = 2*m - k*m. What is the greatest common factor of m and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-24)*(-240)\/380.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of 91 - 5\/3*x**3 + 1\/4*x**4 - 2*x**2 + 5*x. Calculate u(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2.5, -4291 in descending order.\nAnswer: -2.5, -3, -4291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 4*a**2 - 2*a. Suppose 4*z + z - n - 15 = 0, 12 = z - 2*n. Suppose -2*k = -z*y + 7 + 7, -k = -5*y + 19. Determine d(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s. Let z(n) = -20*n - 203 - 32*n + 52*n - n**2. Determine z(f(l)).\nAnswer: -4*l**2 - 203","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(1539) + 4.\nAnswer: 7 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) -5 (c) 0.5 (d) -0.2 (e) -22\/53 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/56 and 115\/28.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 5*u**2 + 14*u - 4. Let y(r) = 11*r**2 + 35*r - 10. Let w(g) = 10*h(g) - 4*y(g). Let d(i) = -141*i. What is w(d(l))?\nAnswer: 119286*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -312, -629, -960, -1311, -1688, -2097?\nAnswer: -2544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 967*n**2 - 11*n - 919*n**2 - 5 + 11*n.\nAnswer: 48*n**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 99967 + -67665. What is the greatest common divisor of 62 and t?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44568 and 15183.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9 - 80*n**2 - 15*n**2 + 6*n**2 + 35*n**2 - 2 + 17*n wrt n.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1818a9 (base 13) to base 8.\nAnswer: 2232515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49 - 29. Suppose q - 648 = -4*p - 2*q, 0 = -5*q + y. Suppose -5*g + x + p = 0, 4*g - 5*x - 36 = 87. Is 7 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*w + 8. Let h(t) = t**2 - 3*t - 1. Let a be h(4). Suppose a*c - w*u - 103 = 0, 3*u - 3 - 157 = -4*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -10. Let l be 4 + 3 + -8 - m. Find the third derivative of 10*g**2 - 7*g**2 + 2*g**2 + g**l - 5*g**6 wrt g.\nAnswer: -600*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7455099250?\nAnswer: 2, 5, 17, 23, 53, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 5*m - 5*m**2 + 10*m**3 + 6 - 2*m**2 + 7*m**2. Let h(p) = 2*p**3 + p + 1. What is 11*h(x) - 2*n(x)?\nAnswer: 2*x**3 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12914.2 - -12985. What is the nearest to -2 in o, -4\/3, 2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-7)\/35 - (-52)\/60)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4877 and 999780123.\nAnswer: 4877","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 8*c**2 + c - 10. Let p(k) = 3*k**3 + 27*k**2 + 13*k + 8. Let a be p(-10). Let q = a - -414. Determine z(q).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**2 - 48826956*u + 195307872 = 0. Calculate u.\nAnswer: -16275656, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 0 (c) -340.34 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 25111\/4780?\nAnswer: 25111\/4780","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 277118 divided by -427.\nAnswer: -277118\/427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*o**3 - 5*o**2 - 65 + 3*o - o + 60 + 3*o**2 + 2*o**4 to y*o**2 + v + h*o + g*o**4 + b*o**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ododoodoooddoododdd. What is prob of picking 4 o?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 2 = 3*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8d30d (base 16) in base 5?\nAnswer: 122001232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**5 + 583*a**4 - 109*a**3 - 156*a**2 - 50?\nAnswer: 60*a**2 + 13992*a - 654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8600339267?\nAnswer: 13, 29, 157, 145303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1931407867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144*g - 116*g + 83*g - 88*g - 97*g.\nAnswer: -362*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 36*y**2 - 4*y - 2. Let f be t(2). Suppose -5*p + 1391 = -4*c, 2*c + f + 974 = 4*p. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 22 = -2*u + 3, 4*u = -g - 31 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*a**3 + 40*a**3 + 59*a**3.\nAnswer: 111*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 2309908\nAnswer: 1\/577477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1138 - 1095 + 1982)*(0*h**4 - 2*h**4 + h**4).\nAnswer: 251*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2099467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368 is divided by 170.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -410, -857, -1304?\n\"Answer: -447*l + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 5 + 14. Let j = 79 - 74. Suppose d*i = -3*k + 54, -j*k - 4*i - 25 = -111. What is the remainder when 41 is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -70307.\nAnswer: -14061.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 2 p, and 1 r when four letters picked without replacement from {z: 1, a: 4, r: 2, p: 2, m: 1, t: 2}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -406000 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11541796 and 5053.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 475440425?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38379*r + 80*r**2 - 13 - 13 - 38379*r + 37 - 13.\nAnswer: 80*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 0*k**5 - 4\/3*k**3 - 1\/360*k**6 + 1\/6*k**4 + 0*k + 4 + 0*k**2. Let r(t) be the third derivative of h(t). Calculate r(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.04, -130, 6, -1\/3, 3?\nAnswer: -130","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(34)\/(1*sqrt(2)) - sqrt(17) - (sqrt(68) + 0 + sqrt(68))))**2.\nAnswer: 40*sqrt(17) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 310273017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.863 + 0.207. Let o = 1.5 - g. Round o to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 622, 3, 5, 4, -5 in decreasing order.\nAnswer: 622, 5, 4, 3, -5, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 4*i - 45 - 95, 0 = r + 2*i - 29. Solve r*x - 4 = 37*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 847022629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -115489660 by 18355.\nAnswer: -6292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r*(r\/r**(-1))\/r))**(-10))**44)**(2\/17) assuming r is positive.\nAnswer: r**(880\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 22, 0, -32, -5 in increasing order.\nAnswer: -32, -5, 0, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/11))**(-5\/6)\/(h**(2\/31)\/(h\/((h**(1\/6)\/h)\/h))) assuming h is positive.\nAnswer: h**(5975\/2046)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + l**2 + 5*l - 4. Let x(v) = -5*v**2 - v + 1. Let a be x(2). Let b be 28\/a - 13\/(-3). Calculate z(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -3 + -5 + -6 + 1?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35000 is divided by 8480.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 47 - -5?\nAnswer: 4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -178 + 159 - (0 + -83) - (-8 - (-1 - -5)).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 4*p - d, -4*p + 24 = -3*d - 5 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/2 (b) 0.5 (c) 3 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-125)\/50)\/(3\/6) - -9906 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 8:14 PM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d + 4*d**2 + 0*d.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 14769?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -307\/21 + 43\/3. Which is the second biggest value? (a) u (b) -3 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(-90 - 44*a + 90).\nAnswer: -44*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iysyqyyysqy. Give prob of sequence qy.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 198083600 and 198083600 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h**3 + 0*h**3 - 2*h**3 + (4*h**2 - 2*h**2 - h**2)*(-4*h + 2*h + 4*h) + (-2*h**2 + h**2 - 3*h**2)*(2*h + 0*h + h).\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 362682 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3858, 8535, 13214, 17895, 22578, 27263, 31950?\n\"Answer: x**2 + 4674*x - 817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7305, -14610, -21915, -29220, -36525?\nAnswer: -43830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by (7 - (-105)\/(-25))*(1 + 4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1045533 is divided by 7311.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 2, 1, 5 in descending order.\nAnswer: 5, 2, 1, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-39)\/(-30) + (-1)\/2. Let l = 25 + -26. Let m = -4 + l. What is the third biggest value in -0.2, n, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4727 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 18454*x + 664361. Calculate l(-36).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2154, 2147, 2140, 2133?\nAnswer: 2126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -12*q**2 - 2*q - 98. Let k(s) = -11*s**2 - s - 69. Determine -4*k(g) + 3*x(g).\nAnswer: 8*g**2 - 2*g - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 518 and 148.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-84)\/(-10))\/((-12)\/(-390)). Calculate the common denominator of (-453)\/r + 21\/49 and 63\/5.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9159809 is divided by 69?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.15 + -0.05. Let z = 32.2 - 32.3. Which is the nearest to v? (a) 0.1 (b) z (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 614007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24.21 - 38.31. Round g to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/123 + 377\/492. What is the second biggest value in 47, 2\/7, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 4*b + 4, -2*b - 3 + 1 = 5*p. Suppose 21*k - 26*k + 1270 = p. Suppose -2 - k = -4*m. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1157, -12574, -43553, -103874, -203317, -351662, -558689?\n\"Answer: -1630*d**3 - d**2 - 4*d + 478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -212*h**3 - 5 + 97*h**3 - 181*h**3 + (4*h**2 - 3*h**2 - 3*h**2)*(-h - h + 3*h).\nAnswer: -298*h**3 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2*(sqrt(168) + (sqrt(168) - -6*2*sqrt(168)))\/sqrt(6))\/(((sqrt(96)\/sqrt(4))\/sqrt(6) - sqrt(216)\/sqrt(6))*6).\nAnswer: 14*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 564 = 2*s + 2*r, -2*s + 214 + 338 = -4*r. Let i be (2\/s)\/(2\/412). Let n = 9\/10 - i. Which is the biggest value? (a) n (b) 0.4 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/17908 and 48\/140119.\nAnswer: 67817596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**2 + 9*n - 13. Let l be (-8)\/(-10) + (-270)\/25. Let g be o(l). Let v = g + -47. Does 16 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 2*j**2 - 12*j - 80. Give h(-4).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - 13*l + 30. Let h be j(16). What is the remainder when 358 is divided by (3\/(-6)*15)\/(h\/(-416))?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*h - 3)*(-5 + 5 + 14)*(h - h - h).\nAnswer: 28*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 4)*(-f - 2*f**2 + f + f**2 - f**2 - f**2 + (2*f**2 - 3*f**2 - f**2)*(-1 + 2 - 3) - 2*f**2 + 35*f - 35*f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 180 and 1530.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104593319 is divided by 3254.\nAnswer: 3251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15253 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3342.7 - 3120. Let q = -223 + x. Let y = 0.1 + 0. Which is the third smallest value? (a) y (b) 7 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121322211323 + -10?\nAnswer: -121322211333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 282*r**2 + r + 126. Let y(w) = -282*w**2 - w - 109. Give -6*p(z) - 7*y(z).\nAnswer: 282*z**2 + z + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243 + 32 = 25*g for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-24)*21*-2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1080 = -4*p + 3*w + 6157, 5*w = 3*p - 3816. List the prime factors of p.\nAnswer: 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 868\/1302*(-18)\/16.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 28, 154, 356, 628, 964, 1358, 1804?\n\"Answer: -z**3 + 44*z**2 + z - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.441*-1\nAnswer: 0.441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -303 - 138 = -7*g. Suppose 0 = -2*c + 2*r + g + 179, 3*c - r = 367. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 465 and 1920.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/233 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14683 is divided by 89?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112914 and 3434391?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1083 and 2444692?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 130 + -130.3. Let s = 197.2 + -197.2. Which is the nearest to o? (a) -2 (b) -4\/3 (c) s (d) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 5:01 AM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2574*k - 362931. Give n(141).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 61 = -21. Let a = -6 - d. Suppose -2*r - 2*r = a*t - 44, -3*t = -4*r + 16. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -9. Sort -5, 4, 0, o.\nAnswer: -5, 0, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-9)\/x*x\/((x\/(x\/(x*(x*x*x\/x**(-2\/3)*x)\/x)))\/x)*x)\/(x\/(x\/((x\/(x**(4\/15)\/x*x))\/x)*x))**(-5\/7) assuming x is positive.\nAnswer: x**(-88\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1713*i + 1649*i + 256 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1262 - 6341\/5. Is -7 at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 1 + (6 - 4 - -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 4*i**2 - 972*i - 2952 = 0.\nAnswer: -3, 246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 * 82711.\nAnswer: -4962.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4904270 and 280.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -226717805 divided by 5\nAnswer: -45343561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a factor of 338456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 4*b, -6*b + 4*p - p = 22*b - 5*p + 72 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8869715483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + m - 2*l - 2 = 0, 5 = 2*m - 5*l. Suppose j + h = 1374, -3*h + 2753 = 2*j - m*h. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 22 = -4*y - 0, 5*v - 11 = y. Let l be (y\/(-4))\/(9\/(-18)). Let t(q) = -2*q + 3. Calculate t(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/4))**50 assuming i is positive.\nAnswer: i**(75\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -38 (c) 4 (d) 2 (e) 22.3 (f) 7 (g) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52812\/(-5868)*(-3)\/(-1)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 12*f - 15. What is d(7)?\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 30 = -n, -25*o - 55*n + 54*n + 27 = -28*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -271764 = 3*r + b - 1487396, 0 = 2*r - 4*b - 810426. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 1. Suppose 4*s + 3*g - n - 2 = 0, 0 = 2*s - g - 13. Suppose 97 = 4*o - 3*j, s*o + 5*j - 2*j - 155 = 0. Is o a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*q - 0*q, 68595*g - 3*q = 68600*g - 21 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 416972 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1035 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73332 is divided by 1832?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 3*r**2 + 15*r + 1. Let u be g(-6). Suppose 5*n - 6 = u. Solve 0*y + n = -y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 288 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r - 139 = -155 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u**4 + u**3 + 5*u**2 - u + 2. Let m(g) = 7*g**4 + g**3 + 11*g**2 - 3*g + 5. Let y(t) = 10*a(t) - 4*m(t). Factor y(f).\nAnswer: 2*f*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1621\/20 - 81. Is t >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5*n + 87 = 0, n + 0 = 5. Suppose -4*h = -3*k + 73, c = k + 3*k + 5*h. Calculate the highest common factor of 209 and k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of 13*v**2\/2 + 6*v + 4378. Let n(q) = -q + 2. Let j be n(4). Let o(c) = 4*c + 2. Give j*h(y) + 7*o(y).\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 - 7*f**3 - 48 + f**3.\nAnswer: -6*f**3 - 87","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*i - 32 = 0. Let h(c) = c**3 + 11*c**2 + 16*c - 13. What is the tens digit of h(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 7\/1118 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-5*2\/6)\/((-29771)\/(-25518))\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -40*n**2 + 15*n + 31. Let t(w) = 14*w**2 - 5*w - 11. Give 6*d(x) + 17*t(x).\nAnswer: -2*x**2 + 5*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 256 - y**2 + 0*y**2 + 2*y**2 + 29.\nAnswer: y**2 + 285","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 11:18 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7224 (base 10) to base 13.\nAnswer: 3399","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6 + (1*-2 - (-14 - 60282\/(-9936))) and 43\/1932.\nAnswer: 3864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 34 in -9\/4, -3, -2.22, -2\/5, 15, 2?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, w: 4, d: 1, y: 2, n: 2}. Give prob of sequence nyyn.\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**2 - 1. Let a be y(-1). Let z = 25 - 24.6. Put z, -1\/2, a, -1 in increasing order.\nAnswer: a, -1, -1\/2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -268 (b) 1 (c) 2\/3 (d) -1\/2 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 p when four letters picked without replacement from wwwwccppwwwcwww.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 20*y + 4*y = 138 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of g**4\/2 - 4*g**3 - 16*g**2 + 83. Determine v, given that n(v) = 0.\nAnswer: -2, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -4*g + 1. Let l be p(-1). Calculate the remainder when 17 is divided by 2 + l - (-3)\/1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -24015, -3 in decreasing order.\nAnswer: 4, -3, -24015","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l - 172 = 128. Suppose -81787 = -l*w + 8*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-22)*j)**(-2\/5)*(j**7\/j)**(-1\/2) assuming j is positive.\nAnswer: j**(-63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*c**2 + 2764*c + 35223.\nAnswer: (c + 199)*(13*c + 177)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43 - -57. Suppose -10*t = -12*t + g. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1665, -3924, -7681, -12930, -19665, -27880, -37569, -48726?\nAnswer: -61345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 312756241 - 286371001 = 39*j - 855989760. What is j rounded to the nearest one million?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*s - 136*s = 33. Let p(t) = -t**2 + 14*t - 16. Let j be p(s). Is j < 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157596313?\nAnswer: 7, 1231, 18289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 16 = s - 3*p, 2*p - 62 = -3*s. Suppose -2*j = 4, -4*g - 4*j - 2 = -10. Solve 9*t - 4*t = -5*i + s, 3*i - 15 = -g*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2155330613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 8) to base 10.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -475*i. Let b(r) be the third derivative of r**5\/15 - 1202*r**2 - r. Calculate a(b(j)).\nAnswer: -1900*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 50, 190, 646, 1598, 3226, 5710, 9230?\n\"Answer: 30*w**3 - 22*w**2 - 4*w + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 20*l + 12*l - 55*l + 23*l + 7911*l**2. Let v(p) = -p**2. Determine m(v(s)).\nAnswer: 7911*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) - (sqrt(468) + -5*sqrt(468)*-4)) + sqrt(468))**2.\nAnswer: 168948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 11:57 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 187012 divided by -5.\nAnswer: -187012\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4035, -4027, -4005, -3963, -3895, -3795, -3657, -3475?\n\"Answer: f**3 + f**2 - 2*f - 4035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -7*p + 191. Let n be v(20). Suppose 7*u - n = 229. Calculate the greatest common divisor of u and 520.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(19) + 5)*-6*5.\nAnswer: -150 + 90*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3048 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9621939, 9621928, 9621917, 9621906, 9621895, 9621884?\nAnswer: 9621873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -144 (b) 5 (c) -5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2137 - 823 = -20*d. Let y = d - 115. Solve 7 = -8*f - y for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9927665 and 165.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 60*q + 5 - 10*q - 116*q - 7 - 43*q in the form w*q + l and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3488, -5649, -9246, -14273, -20724, -28593, -37874, -48561?\nAnswer: -60648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -5) + (2 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8, -1, 10, 25, 44, 67, 94?\n\"Answer: 2*g**2 + g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**3 + 3*f**3 - 6*f**3 + 6*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - i + 310, 11*j - 5*i = 12*j + 166. Is j at most -158?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*n + 183 = 3*c, -4*n - 180 = -3*c. Let g be (-7)\/((1 - 0)\/(-1)). What is the highest common factor of g and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -652\/5*s**3 + 0 - 8\/5*s**5 - 1256\/5*s**2 - 124\/5*s**4 - 96*s = 0. Calculate s.\nAnswer: -6, -5, -4, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(-1))\/w*w)\/(w\/(w*((w**3\/w)\/w)\/w))*w*w\/w**2*w\/w**(-2\/19))**37 assuming w is positive.\nAnswer: w**(2183\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 13*z**2 + 4*z - 15. Let f be v(-11). Let y = f + -84. Suppose -3*t - y = -4*a - 6*t, a - 5*t - 19 = 0. Is a a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i + 1. Let w(c) = 388*c + 485. Let y(b) = 485*v(b) - w(b). What is the units digit of y(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -553 or -552?\nAnswer: -552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -7. Let b = -35072 + 35077. What is the fourth biggest value in g, b, 0, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5617?\nAnswer: 41, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 + 38. Let a = 16 + q. What is the least common multiple of 15 and a?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -h, 3*h - b = -2*b. Suppose 2*p = 3*x - 4*x + 16, h = p - 5*x + 3. Let t = p - 4. Solve t*c + 1 = -2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11458, 11426, 11392, 11356, 11318, 11278?\n\"Answer: -b**2 - 29*b + 11488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 i when two letters picked without replacement from ickciii.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 351203172 and 3228?\nAnswer: 3228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*4*(-72)\/(-16). Which is smaller: -3 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70758491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - w - 2 = -16, -3*o - 4*w = -29. Solve 0 = o*j + g + 11, 11*j - 14*j - 2*g = 13 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 4*s - 2*h - 3*h, -5*h = -5*s - 20. Is 3 - (1 - (s + 1)) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -11549, -23102, -34655?\n\"Answer: -11553*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -442 = 5*q + 2*k, 5*k = 5*q + 522 - 52. Calculate the common denominator of -73\/30 and 15\/q - (-73)\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 339188 - 44*x - 339188.\nAnswer: -44*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 q when three letters picked without replacement from pqqpqpnqpnq.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/11 - 846*j**2\/11 - 119286*j\/11 - 5606442\/11.\nAnswer: -2*(j + 141)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 1) + 3 + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 6*p**2 - 6*p + 7. Let x be t(-7). Suppose 4*w - 567 - 569 = x. Suppose 4*v = 5*h - w, -h - 2*v + 59 = -5*v. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 923889.3 millennia?\nAnswer: 9238893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -4) + -3 + 2*3. Let q be (2\/18*3)\/(s\/30). Determine v, given that 4\/3*v - q - 4\/3*v**3 + 2*v**2 - 1\/3*v**4 = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 13*j - 13. Let b(f) be the third derivative of 7\/24*f**4 - 7\/6*f**3 + 7*f**2 + 0*f + 0. What is 6*a(y) - 11*b(y)?\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m - 2*m - 2*y - 2, 0 = 4*m + 4*y - 20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2410088 to the power of 1\/2, to the nearest integer?\nAnswer: 1552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 3:45 PM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1874*p - 1501*p - 132*p**2 + 3375*p.\nAnswer: -132*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from fffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 703300 divided by 28132\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (24\/30)\/((-1)\/(-30)). Is (-1438)\/(-8) - m\/(-96) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 26, 61, 130, 245, 418?\nAnswer: 661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26.5 - 6.3. Let w = m - 20.8. Put w, 1\/5, -2\/9 in decreasing order.\nAnswer: 1\/5, -2\/9, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hpe when three letters picked without replacement from chhhxepch?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00312845 to 5 dps.\nAnswer: -0.00313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 - 66 = 12*j. Sort j, -2, -3, 1.\nAnswer: -3, -2, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45 + 49. Solve q*o - 6*o - 6 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a + 54 = 5*p, -5*p = -4*a - 119 + 97 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10440 - 10438. Solve 15\/2 - 27\/4*p - 3\/4*p**l = 0.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5087 = v + 5*g + 5101, -g + 1 = 4*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 292\/3 - 97. Factor 2\/3 + a*r - 1\/3*r**2.\nAnswer: -(r - 2)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**3 - 20*t**2 + 89*t + 24. Give f(-10).\nAnswer: -866","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27575*h**3 - 81390*h**3 - 75839*h**3.\nAnswer: -184804*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 656*j + 145624. Give n(-222).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 107*v**4 - 221*v**2 + 482*v + 1 wrt v?\nAnswer: 1284*v**2 - 442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 4:13 AM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -377, -14, -3 in ascending order.\nAnswer: -377, -14, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**2 + 7*o - 22. Let q be l(7). Suppose q*h = 130*h - 15. Solve -h*j - 4 = -3*c + 2*j, 0 = 2*c + j + 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/4 and -1066 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (348\/435)\/((-4)\/(-10))*96\/(-64).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22848033, 45696077, 68544121?\nAnswer: 91392165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.2 times 1.3?\nAnswer: -6.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.338 - 0.038. What is the third smallest value in l, -0.4, 1.8?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -12*x + 2. Let c(y) = 22*y - 5. Let b(i) = -c(i) - 2*s(i). Let d(m) = 1. Determine -b(a) + 4*d(a).\nAnswer: -2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 831 - 1596 + 2*f**2 - 6*f**3 + 11*f**3 + 765 - 2*f**2.\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 26*w = -21*w + 50, -2*t + 3*w + 17 = 0. Suppose 29*a - 1152 = t*a. Calculate the smallest common multiple of 8 and a.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*m = -25*m + 296 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 21.062251 days?\nAnswer: 3.008893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*s + 18*s + 18. Suppose 0 = 3*q + s, -q + 11693 = 4*m + 4*q. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37164\/3648 + 21\/(-2).\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -18*h. Let k(q) = 19*q - 1. Determine w(k(r)).\nAnswer: -342*r + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 758231 is divided by 273.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 691802 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*q + 35*q - 536789 = -70063. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1958 + 3700 - x**3 - 1906.\nAnswer: -x**3 - 164","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeee. What is prob of sequence eee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -g + 2*g**4 + 158*g**2 - 2*g**3 - 156*g**2 - g**3 in the form y*g**4 + n + l*g + w*g**2 + j*g**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.08 and 3\/96967 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 92*i + 10*i**4 - 42*i - 3*i**4 + 19*i**3 - 44*i + 2*i**4 in the form q*i + o*i**2 + c*i**4 + k*i**3 + j and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 5\/4 (b) -106 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 9*t + 20. What is a(-5)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 86.26 - 132.03. Let i = 46.102 + -0.102. Let m = y + i. What is m rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11.06 - -11.16. Let s = -3 - 0. What is the nearest to o in s, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 1. Let c(h) = -12*h + 4. Let j(q) = c(q) - 4*n(q). Is 26 a factor of j(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/28, -1, -2\/19, 1\/4 in decreasing order.\nAnswer: 1\/4, -1\/28, -2\/19, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8916 is divided by 2225.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12\/39191 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*k + 87 = 1247 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -5495967096\nAnswer: -5495967091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1.05*0.52\nAnswer: 0.546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - w - 10 - 21, -2*w - 4 = 0. Let o = l + 48. Does 19 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46178831 and 218?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/56)\/(159\/(-2)). Is h <= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.8 + -0.807. Round t to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28741, -28734, -28727, -28720?\nAnswer: -28713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**3 - 5*h**2 - 3*h. Let g be n(-3). Calculate the common denominator of ((-122)\/(-80))\/((-2)\/(-8)) and (-671)\/g - (-2)\/(-5).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1983492 to the power of 1\/4, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h**2 + 4*h - 4. Let i(b) = -b**2 + b - 1. Suppose -l = -6 + 7. Give l*v(d) + 4*i(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/8 of a litre in millilitres?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 26, 2\/7, 3\/4, -10 in decreasing order.\nAnswer: 26, 3, 3\/4, 2\/7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a - -e5?\nAnswer: da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7236\/(-756) + 6\/(-14)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99898 is divided by 598.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -27?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1634397 a multiple of 162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 6*q**3 + 7*q**2 + 7*q + 7. Let w(k) = 5*k**3 + 6*k**2 + 6*k + 6. Suppose 118*v - 14 = 116*v. Determine v*w(s) - 6*b(s).\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/(-6)*(-24)\/(-15). Suppose s*c + 4 + 0 = 0. Sort c, 4, -5 in descending order.\nAnswer: 4, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/1 - (-1 - -1). Suppose 2*m + 7 = -9. Let u = m - -4. Which is the closest to z? (a) u (b) 1\/3 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**2. Let j(p) = -66*p**2 - 6*p - 633. Let y(o) = j(o) + 18*n(o). What is the first derivative of y(g) wrt g?\nAnswer: -60*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/11 (b) 17\/3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -65 and 69.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14471689 + 203*x**2 - 4*x**2 + 14471689 + 87*x**2.\nAnswer: 286*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 - 22. Let l = p - 7. Solve 3*z = -l*z - 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34 or -289085?\nAnswer: -289085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45482872.\nAnswer: 2, 1523, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6, -2, -20, -48, -86, -134?\n\"Answer: -5*w**2 + 7*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 32*b - 81 = 0. Solve 4 = 3*a - 4*w, b*w = 2*a - 0*w - 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, j: 2, h: 2, x: 10}. What is prob of picking 1 h and 1 x?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -15b (base 15) in base 7?\nAnswer: -623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9706380 minus -21.331?\nAnswer: -9706358.669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20566 - 47?\nAnswer: -20635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.32 (b) -4 (c) 1 (d) -1 (e) 139\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h**2 + 8*h. Let t(g) = 33*g + 12. Let u(k) = 14*k + 5. Let q(w) = -5*t(w) + 12*u(w). Calculate z(q(o)).\nAnswer: 27*o**2 + 24*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -8. What is the lowest common multiple of x and 4\/(-14)*((-5)\/(-6))\/((-73)\/3066)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-4)\/b)\/b*b*b*b)**44\/(b\/(b\/(b*b**1))*b)**(27\/4))**(-10) assuming b is positive.\nAnswer: b**(3045\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-3*(1 + 1 + -1 + (sqrt(200) + -1 + sqrt(200))**2 + -1).\nAnswer: -2403 + 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 149.46.\nAnswer: -747.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + 1 + 12\/3. Suppose j = 2*b - 8. Solve -4*v = -b*r - 4 - 2, -5*r = v + 11 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4*l - 52 = 0. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4586 - -7579. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39.2 - 39. Let g = -9 + -90. Let a = g - -101. What is the third biggest value in 31\/2, a, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -8, 82*j = 80*j + 3*p + 12. Which is the closest to -0.1? (a) 22 (b) j (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 229*s**3 - 68*s**2 + 80186 wrt s.\nAnswer: 687*s**2 - 136*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6545 from 313107.4.\nAnswer: 306562.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-40))\/(4\/32*1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a week in minutes?\nAnswer: 66528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -20. Let x be n*5\/(1 - 0). What is the common denominator of 61\/9 and 1 - (132\/x + 3)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 577 - 576.5. Sort -46, -0.7, t, -0.1 in ascending order.\nAnswer: -46, -0.7, -0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84630 to the power of 1\/2, to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36 + -34. Let r = 0.4 - -3.6. Let k = r - 1. Which is the second biggest value? (a) k (b) x (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1348072, -2696165, -4044266, -5392375, -6740492, -8088617, -9436750?\nAnswer: -10784891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30 - -26) + -1 - 6 - (-6 - -2)) + -8.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x\/x**(-9))\/x*x)\/((x*x*(x**(-7\/8)*x)\/x)\/x)*((x\/(x\/(x\/(x**(-5)*x*x))))\/x)**(3\/13))**36 assuming x is positive.\nAnswer: x**(10827\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -81, -116, -149, -180?\nAnswer: -209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 434510 (base 10) in base 6?\nAnswer: 13151342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 1. Suppose 0 = -k + b + 3. Let w(s) be the second derivative of s**4\/12 - 7*s**3\/6 + 3*s**2\/2 + 93*s + 2. Determine w(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -106 (base 7) to base 10\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 244076 and 25946340?\nAnswer: 596765820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -9*p - 186. Calculate q(-21).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*g + 5*h - 40 = -21*g, 0 = -4*g + 2*h - 30 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a millennium in months?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 554, 1104, 1660, 2222, 2790, 3364, 3944?\n\"Answer: 3*l**2 + 541*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2924169605?\nAnswer: 5, 7, 83547703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nmgnptv. What is prob of sequence mp?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = a - 5, 708 = -5*a - 5*v + 693 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-74)\/(-90) - 24\/40\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 17*d**2 - 14*d + 64. Let v be j(16). Let z = v - -426. Solve 5*h - 4*r + 7*r = z, 5*h = -4*r + 15 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2*-12 + 0)*(-189)\/81. Let h = p + -51. Calculate the least common multiple of 8 and h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 1730*w. Let a(g) = -2*g. Calculate a(t(h)).\nAnswer: -3460*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4592 minus 614644?\nAnswer: -619236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1628 and 232398221?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 316872 and 844992?\nAnswer: 2534976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - -9 - (-52)\/(-13). Calculate the highest common factor of 570 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -4*b**3 - 3*b**2 - 46*b - 5. Let m(u) = 2*u**3 + 2*u**2 + 23*u + 3. Determine -5*m(d) - 3*v(d).\nAnswer: 2*d**3 - d**2 + 23*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from avx. Give prob of sequence xv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 9*q**2 + 14*q - 8. Let n be i(7). Let y = 18 + n. Suppose -y = 2*c, 5*w - c - 160 = 4*c. Does 27 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**5\/2 + 27735*j**4\/2 + 110895*j**3\/2 + 27705*j**2\/2 - 83169*j = 0. Calculate j.\nAnswer: -9241, -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sucr when four letters picked without replacement from {u: 2, j: 1, x: 5, c: 1, s: 5, r: 2}?\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -6*r + 45. Let d(t) = -2*t. Let l(s) = -s**2 - 6*s - 7. Let j be l(-5). Let i be d(j). Solve r*v - i*v + 25 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 7. Let t = r - 4. What is the smallest common multiple of 1 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 + 18 = 11*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 964139 to the power of 1\/3, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -8292.44488 to 1 dp.\nAnswer: -8292.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -44*w**3 + 3*w**2 + 5*w + 6. Let l be v(-4). Let d = 1350 - l. Round d to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {f: 2, a: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -2*q + 24 + 64, -4*q + h + 154 = 0. Suppose 18 = y - 3*k, 4*y - 61 = 5*k + q. Is 7 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006618 rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/4)*x)**20*(x**(-3))**(-45) assuming x is positive.\nAnswer: x**140","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - -16 - (-1 + -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 9*c**2 - 9*c + 2. Let j = -74 + 82. Calculate a(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - -2) + 2262\/(-3). Let d = -538 - o. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/(-3)*2*-3 + 94 is divided by 35?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6 - -78)*(-636)\/(-9). Suppose 6*w = 30*w - m. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -647*z - 98 = 5*y - 645*z, 5*y + 3*z = -97 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 k when two letters picked without replacement from oky?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 4206384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-5))\/(10\/(-25)). Let d(q) be the first derivative of -3*q**2 + 3 - 2\/3*q**p - 4*q. Suppose d(w) = 0. Calculate w.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 4*a + 4, -3*a - 4*x = -4*a - 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (96 + (-102340)\/1071)*-5*3\/4?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3a7b - 1a7b?\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130312203 (base 5) to base 8.\nAnswer: 2330647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5530490?\nAnswer: 2, 5, 7, 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -103 - (8 + -4 - 0). Let a = -76 - 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: Suppose -2*k - 71 = -3*k. Let i = k - 50. What is the highest common divisor of 14 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -750724*i**3*u**3 - 58*i**3*u**2 - 3*i**3 - 3566*i**2*u**3 - 1519*i**2*u**2 + 2*i*u**2 + 8*u**3 wrt i?\nAnswer: -4504344*u**3 - 348*u**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4787516 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 15 - 21 + 7 + 23*o. Suppose 4*v + 2*g = 4, 1 = 2*v + 3*g - 1. Calculate the remainder when 46 is divided by n(v).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4408935.\nAnswer: 3, 5, 41, 67, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 210671.3 millennia?\nAnswer: 210671300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/15*2\/10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 5*w**2 - 2*w + w - 1 - 2 + 7. Determine d(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 0 + -2 + 8. Solve -a*c - 46 = -34 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z**2 - 29*z - 9. Suppose 4*p = -l + 10, 0 = 5*l - p - 22 - 28. Let n be j(l). Let k(m) = 4*m**3 + m**2 - 2*m + 1. What is k(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + sqrt(153) + sqrt(153)*2 + sqrt(153))**2*4 + -5 + (1*sqrt(153))**2 + 3.\nAnswer: 15451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2 + 17378*h - 208248.\nAnswer: -2*(h - 8677)*(h - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 144\/(-10) - 2\/(-5). Let a be 37\/(-3) - 41\/(-123). Are x and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 126\/(-168) - (42555\/(-4) - -1). Suppose -3665 + r = 12*b. What are the prime factors of b?\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 3*p + 63, -62 = -5*w - 4*p + 9. Suppose -4*u + 56 = -2*g, 5*u - g = 52 + w. Solve 2*j - f = -4, 2*j = j - 5*f - u for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h**4 - 1245*h**3 + 83945*h**2 - 790755*h + 708050 = 0 for h.\nAnswer: 1, 10, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -63\/2 (b) 6 (c) 41047\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -5*q**2 + 7. Let b be y(-5). Let x = -58 - b. Is 20 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.37 * -32.\nAnswer: 11.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of u**3\/6 - 9*u + 2. Let h(a) = -1. Let p(x) = -45*x + 12. Let k(i) = 12*h(i) + p(i). Determine k(y(b)).\nAnswer: -45*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(266))\/sqrt(7)*1)\/(6*sqrt(48)\/sqrt(6) - sqrt(8)).\nAnswer: -sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160340996122007 + 0.1.\nAnswer: 160340996122007.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fbpb when four letters picked without replacement from {p: 6, b: 2, f: 9}.\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - x - 3*x)*(0 - 3 + 4) - 1 + 1 - 3*x - 2*x + x - x + (-2 - 1 - 6)*(-2*x - 1 + 1).\nAnswer: 11*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 11) to base 13\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, -10, 0 in increasing order.\nAnswer: -10, 0, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4097 - 3897. Solve -195*h - 30 = -g*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11462 + -11456. Let g(m) = 9*m + 6. Let f(p) = p. Let q(t) = 9*t + 3. Let o(u) = 5*f(u) - q(u). Give c*g(l) + 13*o(l).\nAnswer: 2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7721461.\nAnswer: 11, 701951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**(-24)*a)\/(a*a\/((a*a*a**(1\/11)\/a*a)\/a)*a))\/(((a**(1\/20)\/a)\/a)\/a*a)**(-2\/29) assuming a is positive.\nAnswer: a**(-73509\/3190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 3393.0009429.\nAnswer: -3390.0009429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 7:53 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -223666 + 227253.36. Let q = i - 3659. Round q to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 492745826?\nAnswer: 2, 139, 1772467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of 2*g**3\/3 - 39*g**2\/2 + 18*g - 2. Let h be a(19). Let w(t) = 2*t**3 - 2*t - 3. Let k(d) = -d - 1. What is h*w(l) + 2*k(l)?\nAnswer: -2*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -125 + 307 + 3 + -2 + -4. Suppose -372 = -19*c + b. Is -1 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 51, 95, 139, 183?\n\"Answer: 44*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 7 = -q, 5*r - 3*q - 29 + 59 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3876.06+-2604510410\nAnswer: -2604514286.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -58 + 6. Let h = -52 - r. Solve q + q + 2 = h for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/52, -3, 4\/3 in decreasing order.\nAnswer: 4\/3, 1\/52, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by -55\nAnswer: -12\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -4 (c) -190\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 317449.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6906*p - 6912*p + 33 = 3*y, 2*y + 10 = 4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*z - 10*z - 520. Calculate the smallest common multiple of z and 64.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3 = 1. Suppose -n = 3*m - 119, 0*n + s = n. Suppose -m = -4*w + 13. 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 = -0.7085 + 0.322. Let y = 0.36457 + a. Round y to three dps.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 - 47*s**2 - 3246*s - 9288.\nAnswer: (s - 86)*(s + 3)*(s + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -102 - 27*u + 102 + u**2 to i*u + z*u**2 + p and give i.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 42575341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*v - 10 = 0. What is the greatest common divisor of 10 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j + 2*j - 4*j)*(-2 + 2 + 2*j)*(561 - 370 - 784).\nAnswer: -3558*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 5984 (c) 6\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3604433 millilitres to litres.\nAnswer: 0.0003604433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 3*r + 3. Let f be (-1)\/(0 - (-3)\/r). Is (0 - 20)*f\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**1)**(-15))**(2\/153)\/((c*c*c*c\/(((c**(2\/17)*c)\/c)\/c)*c)\/((c**(-4\/11)\/c*c)\/c)*c**(-6)\/(c\/(c*(c**(-2\/11)\/c)\/c*c)*c*c)) assuming c is positive.\nAnswer: c**(976\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -5448*b + 19. Let x(h) = 5446*h - 15. What is -3*q(c) - 4*x(c)?\nAnswer: -5440*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -20*f**5 - 132*f**4 - 84*f**3 + 356*f**2 - 120*f = 0.\nAnswer: -5, -3, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -4 + 1, 0 = 3*t + 5*w + 9. Let z(p) = -10*p + 1. Let b be z(-1). Let v be b + ((-4)\/2)\/t. What is the highest common divisor of v and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*b - 733 - 2214 - 3075 = -1402 for b.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4502\/63 - -638\/9. What is the nearest to -2\/7 in -3\/5, -0.1, t, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p = -10*p + 5. Solve -5 = -p*d + 5 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2328\/(-11543))\/((-40)\/(-70))?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 - -0.3. What is the closest to 0 in v, 0.4, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-110)\/(-4) + (-18)\/4 + 5. Suppose -p*k + 6*k = -66. Solve -5*z = -k*i - 29, -z - 2*z + 12 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693827 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of 73*l**5\/60 - 44*l**2 - 5. Let v(r) = r. What is k(v(m))?\nAnswer: 73*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6234*p = -6238*p - 2*z - 20, 9*p - 19 + 4 = 3*z for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 326355 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 - -28. Calculate the greatest common divisor of i and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -21*d**4\/4 + 2*d**3\/3 - d - 5. What is the third derivative of i(z) wrt z?\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-55970)\/(-8) + -1 + (-14)\/56 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 - 1100100010011110?\nAnswer: -1100100010011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182255695.\nAnswer: 5, 19, 761, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 27966364213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 3*z - 4*z)*(4294 + 4627 - 9228).\nAnswer: 614*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3209349562 to the nearest integer?\nAnswer: 56651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*y = -24*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1059110404 a multiple of 1595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -q - 5. Solve 41 = 4*c - 0*b - 5*b, 0 = -q*c - 3*b + 5 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (15 + -14)) + 7.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 3*n - 5 - 16, 4*c = 2*n - 18. Let x be ((-2)\/18)\/((-2)\/c). What is the closest to 0 in x, 0.5, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 25904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**2 + 22476*z + 46453680 = 0.\nAnswer: -8508, -2730","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 4*i**5 + 4932*i**4 + 1496772*i**3 - 9114244*i**2 + 13718424*i - 6105888 = 0?\nAnswer: -666, -573, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-2\/9)*m*m)\/m)\/((m*m\/m**(1\/6)*m*m)\/m))**(-11\/4) assuming m is positive.\nAnswer: m**(407\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**2 + 46498*h + 4353140 = 0. Calculate h.\nAnswer: -23155, -94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**5 - 195*l**3 + 120 + 17*l**5 - 14*l**5 + 370*l**2 - 10*l**5 - 26*l**4 - 340*l + 76*l**4.\nAnswer: -5*(l - 3)*(l - 2)**3*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30223 (base 5) to base 6\nAnswer: -12550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38068 (base 9) to base 4.\nAnswer: -12033221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 43603059193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cbbp when four letters picked without replacement from {c: 1, k: 3, p: 2, b: 1, y: 1, x: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**2\/11 + 40*m\/11 + 250\/11 = 0. Calculate m.\nAnswer: -5, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -146*r**5\/15 - 1198*r**4\/3 - 79004*r**3\/15 - 73432*r**2\/3 - 60400*r\/3 - 1600\/3 = 0.\nAnswer: -20, -10, -1, -2\/73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 7*y. Suppose 9 - 5 = 2*o. Let k(h) be the first derivative of 6 + h**o + 2*h + h - 3*h. Calculate j(k(z)).\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 - 22. Suppose 4*o + 3*c - 408 = 5*c, 2*o = -p*c + 220. Suppose 4*k + o = 2*u + k, -169 = -3*u - 2*k. What is the highest common divisor of u and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((5*(sqrt(88) + (sqrt(88) + 1*sqrt(88) + sqrt(88) - sqrt(88))) - sqrt(88))\/sqrt(8) + -1).\nAnswer: -3 + 42*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*x = 5*z + 35, x - 3 = 4*z. Which is the closest to 9? (a) x (b) 1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32619.81g to tonnes.\nAnswer: 0.03261981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of s**3\/3 - 5*s**2 + s - 1. Calculate the lowest common multiple of 8 and d(11).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y - 5*y**3 - 2*y**2 - 7*y**3 - 5 + 3 + 13*y**3 in the form h*y + d + a*y**2 + f*y**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -76.780885 to two decimal places.\nAnswer: -76.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 653201.2ml in litres?\nAnswer: 653.2012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + 1. Let g(z) = -z**3 + 2*z + 5*z + l*z**2 - 4*z**2 + z**2. Let r = 17 - 10. Give g(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 8*n - 7. Let v = -30 + 51. Let a(x) = x - 15. Let u be a(v). Let m be y(u). Solve -m*s + 14 = -11 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - (-2 + 2*-7). Suppose 0 = 3*c - b + 3*b - 69, -4*b = 0. Let l = c - v. Calculate the highest common factor of l and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**14\/t**(-11\/3) assuming t is positive.\nAnswer: t**(53\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pzjjzgzpjzh. Give prob of picking 1 j, 1 g, and 1 h.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1810*a + 1797*a + 13. Suppose -3*i = -5*m, -3*m - 1 = -2*i - 0*m. Let w be i\/15 + (-2)\/(-3). What is the highest common factor of a and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 7*c - 15*c. Solve 3*i = 2 + c for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2743 divided by 13?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.03 (b) 11 (c) 3 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11112110202002 (base 3) to base 4.\nAnswer: 21030201320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.69 + -0.21. Let g = 26 - 23.9. Let s = z + g. Which is the third smallest value? (a) -2\/9 (b) -2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and -4786.2859854?\nAnswer: 4781.2859854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 29581303 - 96?\nAnswer: 29581207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cw when two letters picked without replacement from {f: 2, p: 2, c: 2, z: 1, w: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7539 divided by 154.\nAnswer: -1077\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4*n + 12 = 0, 0 = -2*u + 2*n - 3*n + 15. Solve u*q - 3*q = -3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 4. Suppose -k + 2*h + 2*h = -18, -n*h = -k + 14. Suppose -4*m + 3 + 1 = -2*x, 5*m - k = 3*x. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4 (b) 628724 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l - 2. Suppose 9*m - 150 = -16*m. What is k(m)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5*r - 5 = 5*w, -w - r = -8. Let v(k) = w - 5*k + 1 - 4. Is 10 a factor of v(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4411 in 24, 5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 6 = 2*w, 20*w = 3*j + 16*w + 12 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 42683983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/((-2184)\/(-60))*((-7452)\/230)\/(-18).\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 238*l - 6199. Determine x(26).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 245.9000416 rounded to the nearest ten?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + p**2 + 43*p + 14. Calculate the lowest common multiple of 58 and q(0).\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/40*(-1 + -1) - 0.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (85890000\/45)\/((22\/(-77))\/((-72)\/14)). What is m rounded to the nearest one million?\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -49, -256, -801, -1852, -3577?\n\"Answer: -28*m**3 - m**2 - 8*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -8*q**2 + 3*q - 8. Let j(c) = -11*c**2 + 5*c - 10. Let p(x) = -4*j(x) + 5*s(x). Let z(h) = h. Give p(z(i)).\nAnswer: 4*i**2 - 5*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-6) + 221\/897.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-3318128)\/33)\/(-17) - (-3)\/9.\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4241025 and 604449.\nAnswer: 1647","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5564594 and 215257?\nAnswer: 1337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -4*v - 35, 9*u = 4*u + 3*v - 10. Which is the nearest to 5? (a) u (b) 1\/8 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 391624444?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 206299*g**2 + 38 - 3*g - 206298*g**2 + 3*g. Determine j(0).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.986174 to 3 dps.\nAnswer: 8.986","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + -1)\/(2\/2). Calculate the remainder when -2 - o - 196\/(-4) is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 0\/2) + (258\/(-903))\/(1\/(-245))?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + -2. Let m = n + 2.7. Let p = -94 + 1224\/13. Which is the third smallest value? (a) m (b) -2\/13 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -159 < -159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 14 = -2 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + s**2 - 4*s + 2. Let f be o(0). Find the third derivative of 19*r**3 + f*r**6 + 32*r**2 - 33 - 6*r**2 - 8*r**2 - 16*r**2 wrt r.\nAnswer: 240*r**3 + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1014705912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -7\/41681429?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 40, 56, 96, 172, 296, 480?\n\"Answer: 2*t**3 + 2*t + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*d = 251*d + 10472 for d.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -30, 0, 70, 2, -2\/979, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (7 - (6 + 7)) - 28?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -22725 divided by 909?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*q - 8 = 0. Suppose 6*z - q*r = z - 12, -5*r - 12 = -2*z. Find the common denominator of z\/(-42)*(-20 + -6 + 8) and 46\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*p + 24*p = -7*u - 21 + 51, -2*u - 5*u - 9*u + 2*p = -70 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 13, -518, -1\/27, 0, -1\/3?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -2. Suppose u + 0 = 2*g. Let k be 7\/(-14)*(-3 + g). Which is bigger: 2\/9 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 22*q**3 - 17*q**3 - 1.\nAnswer: -39*q**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by -6.\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -4*n**2 - 4. Let m(i) = -i**2 - 1. Suppose -4*x - 6*c - 3 = -5*c, 4*x = 5*c - 9. What is x*b(a) + 6*m(a)?\nAnswer: -2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 298129921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8547 (base 14) to base 12\nAnswer: -11383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of 4\/3*i**3 + 35*i + 1\/12*i**4 + 0 - 2*i**2 - 1\/20*i**5. Let r be y(3). Solve 4*k - 7 = -5*c - 3, k = r*c + 1 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k - 4046 = 4222. List the prime factors of k.\nAnswer: 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + (-66)\/(-4) + 46\/(-92). Let q(z) = 2*z - 15. Calculate q(d).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1065*y**2 - 1065*y**2 + 3*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.11 - 4.89. Let l = -0.083 + -0.917. Which is the biggest value? (a) l (b) v (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5834.\nAnswer: 2, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 3316077?\nAnswer: 3316076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*p - 453 + 145 = 0. Which is the nearest to p? (a) 1 (b) 26 (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4880*z**2 - 1662 + 1662 - 4731*z**2.\nAnswer: 149*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 11*n + 376. Let y be o(-34). Let d(h) be the first derivative of 0*h - y*h**2 - 6 - 5\/3*h**3. What is the second derivative of d(w) wrt w?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -18. Solve -g = -5*z - 12, -z - q*z - 18 = -4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 62751, 125622, 188489, 251352?\n\"Answer: -2*v**2 + 62877*v - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-59 - 239 + 73)*(-3 + 5 - 3)*(-z + z + z) to the form o + m*z and give m.\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 6*r - 9. Let u be t(-7). Let b be 3*2\/12*u. Let j = 4 + b. Solve 4*i = -j*v - 4 + 2, 2*v - 4*i + 8 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 122e75 - -1d7?\nAnswer: 12304c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 + 32. Suppose h*k + 4 = 40. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-20)*140\/(-1456).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1559, 2\/11, 2\/5 in descending order.\nAnswer: 2\/5, 2\/11, -0.1559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 14*u + 2. Let g be l(14). Suppose -52651 = -4*z - 2*r + r, -g*r + 52650 = 4*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of -3*b**4\/4 + 2*b. Let g = -2 - -14. Let v(q) = -g*q + 3*q + 2*q + 6*q. Determine t(v(z)).\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5367 - -7677. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13012 (base 4) to base 14\nAnswer: -246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2565 and 5586399?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 54193 + 1800*c - 54193 as r*c + q and give r.\nAnswer: 1800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/7656 and -47\/2396328.\nAnswer: 2396328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 12582147*d + 12582149*d + 1.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.0196565*-0.039\nAnswer: -0.0007666035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*v - 2*q, 7*v - 3*v - q = 12. Let u(o) = 9*o**2 - 7*o + 9. What are the prime factors of u(v)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 445, 443, 441, 439?\nAnswer: 437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.119 * 0.4.\nAnswer: 0.0476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*t = 48*t + 210 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = x + 8. Find the common denominator of -77\/2 and 1\/6*207\/x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111728 is divided by 1841.\nAnswer: 1268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -379*s + 1828 = 312. Let p(x) be the third derivative of -2\/3*x**3 + 0*x + 0 + x**2 - 1\/60*x**6 - 1\/105*x**7 + 1\/12*x**s + 1\/10*x**5. Solve p(a) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 8*i - 14. What is the lowest common multiple of f(-10) and 56?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {f: 3, m: 15}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -18*(-2 - 45\/(-27)). Suppose 3*k = -0*y + 5*y - 22, -k = -y + l. Solve -2*h + 2 = -4*t - 0, y*h - 3*t - 4 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -257 and -257 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(70)*-1)\/(-2*sqrt(1440) - sqrt(10)).\nAnswer: 3*sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-10)\/(-750)))\/(17\/((-918)\/(-45)))?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooswsoowyyqoowws. What is prob of sequence yoow?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/4))**(-36)\/((x**30*x*x)\/x*x\/x**(-9)) assuming x is positive.\nAnswer: x**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-66)\/(-99)*((-54)\/4)\/(-3). Suppose -y*w + 160 = 2*w. Calculate the lowest common multiple of 10 and w.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i + 13. Let u be v(6). Let r = u - 3. Solve -2*x + 2 = -r*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12429701?\nAnswer: 487, 25523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -8. Let k be 5\/(8 + -3) - 12\/n. Is -11 less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144072057557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 3. Suppose 100 = 25*u - 15*u. What is the remainder when u is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002303733984 rounded to 6 decimal places?\nAnswer: -0.002304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 2*m + 9 = 0, 44*m - 41*m + 9 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 202*h**2 - 1. What is the units digit of g(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 + -14)\/((-3)\/27).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -9*r + 6. List the prime factors of x(-13).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 4*z - 6*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3, 0 = -3*q - 4*g + 20 + 31. What is the units digit of (-2 + q\/9)*12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {w: 5, c: 2, s: 2, g: 7, r: 4}.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*s - 8*s + 20144. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.05 (b) -2 (c) -3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 653 a factor of 1208703?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.75726624 rounded to 2 dps?\nAnswer: -31.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -80 - -87. Let g = 62 + t. Calculate the highest common divisor of g and 552.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + (sqrt(76) + -1 + sqrt(76) - sqrt(76) - sqrt(76))**2 + sqrt(76) + (-2*(sqrt(95)\/sqrt(5) + sqrt(19)))**2 + sqrt(19))*-6.\nAnswer: -1830 - 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -s**4\/24 - s**3\/3 + 18*s**2. Let w be x(-2). Suppose -6*c + 184 + 116 = w. Does 13 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**(-2))\/((t*t\/t**2*t*t)\/t))**(-23)*(t**6*t\/(t\/t**(-3\/5)*t)*t)\/(t**1)**(-3\/2) assuming t is positive.\nAnswer: t**(-621\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -759*t**2 + 759*t**2 - 15*t + 13*t**3 wrt t.\nAnswer: 78*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**3 + 3*c**3 + c**3)*(-c - c + 0*c + (12 - 12 - 3*c)*(12 - 6 - 11)).\nAnswer: 39*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -98*m**5\/15 + 350*m**4 + 3155872*m**3 + 2367392648*m**2\/3 - 451704832*m + 322830336\/5 = 0?\nAnswer: -384, 2\/7, 821","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 128991 + -32991. Suppose -2*l - 4*l = a. What is l rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56886877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32812 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-332)\/(-2656)*128\/60?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205.763151 rounded to two dps?\nAnswer: 205.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = d + c - 18, 2*d - 9 = -c. Let i = -5 + d. Let z = 14 + i. Calculate the remainder when 21 is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-2 - ((2 - -1) + -3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 190\/3) + (-720)\/432?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 - -22. Let a(d) = -d**2 - 5*d**2 - d**2 + 5*d**z. Let i(j) = j. Calculate a(i(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -61, 1\/3.\nAnswer: -61, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*x**2 + 24*x**2 + 45*x**2 + (-4 + 4 + x)*(1 - 1 - 2*x) to the form b*x**2 + g*x + c and give b.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-8))\/(2\/12). Suppose g*h = -9 - 3, 2*s = 3*h + 8. What are the prime factors of (1\/2)\/(s\/(-32))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1962 and 1494?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 419, 423, 437, 467, 519, 599, 713, 867?\n\"Answer: c**3 - c**2 + 419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -13. What is the closest to n in 0.3, -2\/17, 0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1412016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33414 is divided by 5569.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 14 + -3 - 9\/3.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23203228*c**4 - 239047*c**2 - 5*c wrt c?\nAnswer: 556877472*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -1122*z - 113. Let n(l) = -l**3 - 21*l**2 - 34*l + 39. Let i be n(-19). Is o(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2125.217 micrograms to grams.\nAnswer: 0.002125217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 13*v + 5*m = 363, -4*v - 5*m = -741. Calculate the remainder when v is divided by 62.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 3. Let v be (-2)\/(-6)*(29 - y). Solve -3*s + 5*s = -v for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54408675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-12)\/3)\/8)\/((-10)\/25)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4206 is divided by 807.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-4)*q*q)*((q\/(q\/(q\/(q\/(q*((q*q*q*q*q*q**(6\/11)*q)\/q)\/q)*q))))\/q)\/q)**(-8\/9)*((q\/(q*q**(2\/7)))**(1\/16))**43 assuming q is positive.\nAnswer: q**(-31585\/5544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -266814 divided by 366.\nAnswer: -729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10144205?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -52 in -8\/7, 5, -1, -1\/3, -2, -0.23?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c*c**6)))\/c*c*(c*c**(2\/9)*c)\/c*c)\/(c\/(c**(1\/11)*c)*c*c**(-5))*(c*c**(-5)*c*c**(5\/7)\/c)**(12\/11) assuming c is positive.\nAnswer: c**(6742\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21202202 - -202102?\nAnswer: 22112011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 416 and 6916.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 160 = -38*m + 33*m, 3*f + 4*m + 98 = 0. Let c = -28 - -10. Is 1 + (-1916)\/(-10) - c\/f a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1059, -38, -17 in ascending order.\nAnswer: -1059, -38, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from toyaayytotttttgsto. Give prob of picking 2 a.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 18*k + 33. Let q be n(-16). Solve q = 2*w - w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 746731 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*a + 949425 + 7*a - 1898855 + 1870*a**3 + 949428.\nAnswer: 1870*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (21\/5 - 4) + 659\/5.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 times -289373.73\nAnswer: -347248.476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2517153 divided by 2517153?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 x, and 1 c when three letters picked without replacement from coixxobooboxm.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - s**2 + 3)*((3*s - 3*s - 2*s)*(0*s + 0*s - s) + 6*s**2 + 25*s**2 + 4*s**2 + 0*s**2 - 6*s**2 - 2*s**2).\nAnswer: -29*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-3) + (-40)\/(-15). Suppose 0 = -4*v + k*v - 4. Let a be (v\/10)\/((-1)\/5). Solve -3*x + g - 5*g - 22 = 0, -8 = a*g for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -6 - 2*q + 4*q + 3 - 3*q. Let a be u(-7). Suppose 5*h - i - 213 = -4*i, -a*i = 5*h - 209. What is the remainder when h is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10447?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, n: 3, s: 2, h: 1, q: 2, l: 8}. Give prob of sequence sqh.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 62591225 by -5.\nAnswer: -12518245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -6. Let v(i) = 2*i - 49. Let x be v(23). Let q be -9 + u - x\/1. Solve q = c - 1 + 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27878312 a multiple of 883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111230641 is divided by 4449225.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 24d3d2 (base 16) to base 8\nAnswer: 11151722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -10010110111000?\nAnswer: -10010110111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + (5*(sqrt(975) - 2*sqrt(975)) - sqrt(975))\/((sqrt(33)\/(sqrt(176) + sqrt(11)) + sqrt(3))*-2) + 3).\nAnswer: -25*sqrt(13)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21988 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 27*v - 28*v. Let k(g) = g**2 + 6*g + 4. Let x(s) = -s**2 - 6*s - 4. Suppose 0*f - 6 = 2*f. Let w(c) = f*k(c) + v*x(c). What is w(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -146831 (base 9) in base 10?\nAnswer: -90343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/2 + 9*5\/(-15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.36 - 34.64. Let b = -613\/68 + 315\/34. Which is bigger: v or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**2 - 5*j - 9. Suppose -22*c + 21*c = 1. Let s be 42\/(-24) + -1 + c\/4. Let l(d) = d**2 - 3*d - 5. Calculate s*y(v) + 5*l(v).\nAnswer: -v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 10 = -15. Suppose 4*r - 33 = -5*n, n + 0*r = k*r - 5. Let y(w) = -4*w - 1. Let x(d) = 2*d. Let p(g) = 5*x(g) + 3*y(g). Determine p(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r**(-1\/4)\/r)\/r)**(-2\/33)*(r\/r**(-7\/6))\/r**(-2\/11) assuming r is positive.\nAnswer: r**(80\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -76, -445, -814, -1183?\n\"Answer: -369*a + 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2 + m**2 + 0 + 0*m**2. Let d(h) = 3*h**2 - 5. Let l(z) = 13*z + 13 + 3*z**2 - 1 + z**2 - 3*z**2. Let p be l(-11). Give p*y(a) + 4*d(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -0*v + 5*v. Suppose -v*k = -5*k + 92. Suppose z - 2*o - 16 = -3*o, 0 = 4*z - 5*o - k. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (81\/144)\/(84\/(-56))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -5 + 2*w + 5 - w + 4. Suppose -5*g + 8 = -2. Suppose 0 = -3*q - g*x - 2*x - 2, -q - 5*x = -3. Give d(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/1 + (-12)\/(-780)*13. Which is greater: v or -29\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (202*l + 39 - 39)*(-3*l**2 + 2 + 4 + 6) to c + r*l**2 + n*l + a*l**3 and give n.\nAnswer: 2424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (648\/(-36))\/(27\/(-18))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -25*v**3 + 17*v**2 - 17*v - 18. Let p(b) = -54*b**3 + 35*b**2 - 35*b - 36. Let k(l) = 13*m(l) - 6*p(l). What is k(9)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3276?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.33 (b) -5 (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11770 = -839*y + 10397 + 5520 for y.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u - 6 + 2*u + 0*u - u**3. Suppose 3*n + 3*y = -48, y = 2*y + 1. Let d = n + 15. What is v(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**2 + 37923626*u + 12641209 = 0 for u.\nAnswer: -1\/3, 12641209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26390 = -667*o - 3712 for o.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 240 = -4*j. Let s = 2 + 3. Calculate the highest common factor of s and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i**2 - 5*i. Let l be 20\/(-14)*49\/(-14). Let j(o) = 4*o**2 - 6*o - 1. What is l*x(n) - 4*j(n)?\nAnswer: -n**2 - n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -2\/3 (b) -3 (c) -0.13 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 - 584*k**2 - 2349*k - 1764.\nAnswer: (k - 588)*(k + 1)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 262, 523, 784, 1045, 1306, 1567?\n\"Answer: 261*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1286698?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.21309*7\nAnswer: 1.49163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 22\/33*5*3*1. Solve 0*m + t = 5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17080877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (10 - (17 + -11)) + -13?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c*i**3 - 4*c*i**2 + 13*c*i - 113*c - 761*i**3 - i**2 - 13*i + 1 wrt i.\nAnswer: 18*c*i - 8*c - 4566*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = -w + 15*x - 10*x, 4*w + 37*x = -481 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 892 and 76?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9292930859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*3\/126)\/(49\/(-441))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -15, -4, 21, 66, 137?\n\"Answer: c**3 + c**2 + c - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 7*o - 300. Let l = -11 + 36. Calculate the greatest common factor of l and o.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3676037618 rounded to the nearest one million?\nAnswer: -3676000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/3 + 37\/3. Suppose -2*v = 4*b + c, 0 = -b - 3 + 1. Sort v, -5, 4 in descending order.\nAnswer: 4, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59641.\nAnswer: 19, 43, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 306450991 a multiple of 1011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 562*r**4\/7 - 1114*r**3\/7 + 542*r**2\/7 + 10*r\/7 = 0.\nAnswer: -5\/281, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 24 - 105*i + 17)*(-4*i + 3*i + 2*i) to the form g*i + t + k*i**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*h + 10*h + 1. Let g(c) = 175*c**2 - 2*c - 2. Does 16 divide g(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2772.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - 0 - -2*3. Let p be 90\/14 + (-3)\/7. What is the greatest common divisor of h and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 6*u**2 + u + 8. Let f = -1226 + 1294. What is the remainder when f is divided by v(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.550992 rounded to one decimal place?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 0*c + 370. What is the remainder when c is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137184627449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -j**3\/6 - j**2\/2 - 17*j. Let g(f) = -4*f - 1. Give -g(c) + 3*m(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 996 + -8799. Is w at most as big as -7804?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2402 and 2386387?\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44737 and 2303.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110e (base 15) to base 6.\nAnswer: -24422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 56.83938 minutes?\nAnswer: 0.947323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (-19 + 42 + -25).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*w**2 + 4*w**3 + 16348*w**4 - 16346*w**4 - 3*w**3 + 22*w - 2*w**3 as c*w**3 + x*w**2 + y*w + n*w**4 + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -5\/3*k**3 + 1\/4*k**5 + 0*k**2 + 0 + 10*k + 5\/12*k**4. Suppose s(y) = 0. What is y?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17101138 is divided by 1425091?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9548573 is divided by 71.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-30))\/(51\/(-68))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -50911, -101790, -152665, -203536, -254403, -305266, -356125?\n\"Answer: 2*p**2 - 50885*p - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 2 = -n, n + 3*w = -0*w - 1. Let b be n*(-3 - 99\/(-6)). Suppose -h + b = 2*h. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20312*v**3 - 20309*v**3 - 22*v**2 - v - 29*v**2 to the form a*v + z + k*v**3 + i*v**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -3 + ((-24)\/(-6) - 3) + 174 is divided by 70?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or -0.19?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-1 + -3 + sqrt(300)*-2)*4)**2.\nAnswer: 2080*sqrt(3) + 19369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 9*y - 10. Let g be j(-7). Let n = 0 - g. Suppose 19 - 5 = 7*f. Sort 3, n, f.\nAnswer: n, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1755)\/(-975))\/(3\/(-15)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 86037170 to the nearest ten thousand.\nAnswer: 86040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -198*k**2 - k + k + 0*k.\nAnswer: -198*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 45\/6*(-10)\/(-15). Suppose -17*x - 10*x**2 + 5*x**4 + s + 17*x = 0. Calculate x.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -573.5 + 581.065. Round o to 1 decimal place.\nAnswer: 7.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, w: 1, m: 2, q: 3}. What is prob of sequence wmm?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 4*o - o + 4, 0 = 2*t + 2. Let i = 43807 + -43809. Do i and o have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -5. Suppose w*i = i. Suppose -3*o - g = -i*g - 574, -4*g + 4 = 0. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a. Let n(s) = 22*s - 12. What is p(n(u))?\nAnswer: 66*u - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 450*d**5*i + 48*d**3*i**2 + 3*d*i**2 + 2*i**2 - 67*i + 41 wrt d?\nAnswer: 9000*d**3*i + 288*d*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42113 (base 8) to base 4.\nAnswer: 10101023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -q**3\/3 - 4*q**2 - 1. Let r(o) = 2*o**2 + 15*o. Let k be 8\/2*2\/4. Suppose k*m + 44 = 6*m. What is m*a(b) + 6*r(b)?\nAnswer: b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-1\/2)\/k)\/k)**(-2\/13))**(2\/27) assuming k is positive.\nAnswer: k**(2\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 7*f - 2640. Let d be u(55). Which is smaller: 22\/17 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307440313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 3*k - 1. Let w be ((-4)\/(-10))\/((-2)\/(-15)). Suppose -5*a - 6 = -3*a. Put w, a, k in increasing order.\nAnswer: a, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -30*c**2 + 107*c + 24. Let d be f(3). Solve d*k = 71*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -3543.3.\nAnswer: -17716.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -197 - -201. Find the first derivative of -7*z**4 + 6*z + 68 - 2 - z**4 + 2*z**u wrt z.\nAnswer: -24*z**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1498440 or 1498444?\nAnswer: 1498440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - 18. Let u(n) = 2*n. Let z(g) = -5*g. Suppose 6 = 3*r + 27. Let c = 1 - r. Calculate c*u(p) + w*z(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -41.9913 and -0.3?\nAnswer: 12.59739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -53 (b) -29873 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 277 by -215.\nAnswer: -277\/215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 370 (c) -0.5 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3b30565 - 2?\nAnswer: -3b30567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-11 + -1)\/((-2)\/6). Let w be n\/22*(-4)\/12. Which is the second smallest value? (a) 5 (b) -2\/13 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1778, -3540, -5258, -6914, -8490, -9968, -11330?\nAnswer: -12558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15642 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-3))\/((-10)\/(-30))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4717469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -57*v**2 + 11*v - 11. Let m(f) = 19*f**2 - 4*f + 4. What is 11*m(j) + 4*u(j)?\nAnswer: -19*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 162959821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3401*o**2 - 171*o + 171. Let b(d) = -7 + 10 + 23*d - 40*d**2 - 46*d - 1 + 21*d. What is -171*b(r) + 2*u(r)?\nAnswer: 38*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 29608, 59221, 88886, 118603, 148372, 178193?\n\"Answer: 26*c**2 + 29535*c + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/26)\/((y*y**(-2\/23)*y)\/y) assuming y is positive.\nAnswer: y**(-569\/598)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.75 + 1.32. Let m = a - 5.67. Let p = m + 5.5. What is the fourth biggest value in 1\/4, 2, 3\/8, p?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52 + -10. Is u a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1706233?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3740 and 187?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 380 = 7*d - 2*d. Let i = 75 - d. Let j be (i\/(2\/(-36)))\/((-63)\/(-63)). What is the greatest common factor of 72 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, t: 1, c: 1, p: 1, f: 1}. What is prob of picking 1 f and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -c**4 + 8*c**3\/3 + 6*c**2 - 25. Let m(p) = 0. Calculate p.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -750? (a) -3543 (b) -2\/5 (c) 1\/5 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-13) + (-432)\/(-2457) - (-3 + 1689\/630).\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (97*z**3 - 54*z**3 - 60*z**3)*(-2 + 0 + 0).\nAnswer: 34*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-6*(-1 + -1 + sqrt(1377)) - 6*(-4 + (-2 + sqrt(1377) - sqrt(1377)))))**2.\nAnswer: -129600*sqrt(17) + 1296900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 48*p**4\/7 - 4*p**3\/7 - 2*p**2\/7 = 0.\nAnswer: -1\/6, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2\/13, -3023 in descending order.\nAnswer: -2\/13, -2, -3023","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-6)*(-18)\/(-390). Let g = -230 + 229. Is g at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 58, 5, -1, 44, -2 in descending order.\nAnswer: 58, 44, 5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in nine tenths of a millennium?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22080 is divided by 94.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -10*m + 5. Let w be y(-7). Let b = -41 + w. What is the remainder when b is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 232 and 5*(924\/(-35))\/(-6)?\nAnswer: 2552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-6) - 96\/18. Let n(o) = -9 - 3*o + 0 - 8. Let y be n(p). Solve -b - 4 = y for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76042 and 6698?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - s - 40 = 4*v, 4*s = 2*v - 40. Let u be 4*(-5)\/v + 1\/1. Is -1\/310 less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48218 to the power of 1\/2, to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33043.\nAnswer: 173, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138\/108 - -1*8\/36.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 1386*x + 91282. Determine l(63).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7132\/1973 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*o + 1. What is the least common multiple of (-13)\/(91\/(-105)) + 29 and (14\/35)\/(o\/30)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -p + 2 - 25\/4*p**4 - 1\/3*p**3 - 1\/2*p**2. What is the remainder when a(-1) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 + -31. Let d(q) be the second derivative of -2*q**3 - 4*q**2 + 3*q. Does 22 divide d(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16575 by -3315.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41880336*t - 8256*t**2 + 41880336*t)*(0 + 1 + 1) + 0*t**2 + 5*t**2 - 4*t**2.\nAnswer: -16511*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -5*t + 50, -t + 2 + 3 = 0. Let v = -8 + 3. Are v and c equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -631?\nAnswer: 315.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-2)*1*-2. Let d = n + -4. Factor c + 1 + 4*c**2 + d*c - 6*c.\nAnswer: (c - 1)*(4*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 8*i = -10*i - 5, 0 = -4*i + 20 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffu when three letters picked without replacement from fnffiffffffuf.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**4)**(1\/25) assuming z is positive.\nAnswer: z**(4\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 12*v + 5. Let l(w) = 5*w + 27. Let y be l(-4). Let p(o) = 2*o**2 - 18*o - 8. Let g(j) = y*f(j) + 5*p(j). Does 7 divide g(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 + 2 + -1 + -4. Let h be v + (-8)\/3 - (-2)\/3. Suppose -3*o + 166 - 73 = h. Is o a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 6748*j**3 + 6730*j**3 + 16*j - 27*j in the form z*j + k*j**2 + o + y*j**3 and give y.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i + 686 = i + 3216. What is the lowest common multiple of i and 10?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, 926, -2\/9 in decreasing order.\nAnswer: 926, 0.06, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 0*x + x)*(5 + 12 - 16).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 380 a factor of 52977020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -43569 and 10.9.\nAnswer: -474902.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of r**6\/30 - r**5\/30 - 35*r**4\/6 - 9397*r**3\/6 + 3*r**2 - 2*r - 256. What is the derivative of o(v) wrt v?\nAnswer: 12*v**2 - 4*v - 140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 6853112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2988, -11952, -26898, -47832, -74760?\nAnswer: -107688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a century in years?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001252 rounded to four decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from ikkkkiiz?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28231 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckockckookkckcc. Give prob of sequence kc.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13211 and 81668.\nAnswer: 898348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 248 a factor of 97712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3943276 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: Expand (2*w**4 - 2*w**4 + 2*w**4)*(9 + 95*w - 228*w + 131*w).\nAnswer: -4*w**5 + 18*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -75 (b) -5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2552\/637 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 0 + (-20 - -29)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2320 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxe when four letters picked without replacement from {e: 2, x: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + i = -184, -3*q - 112 = 5*i - 672. Let a = q - 160. Calculate the greatest common divisor of 200 and a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*q - 174*q = 5*t + 55, -2*t + 5*q - 22 = 0 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 16. Let y = 2 - 1.7. What is the biggest value in b, y, -3\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 363385900?\nAnswer: 2, 5, 3633859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**2 + 52737 - 236957 + 2*t**2.\nAnswer: 2*t**2 - 184220","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 66*i + 48 - 39\/2*i**2.\nAnswer: -3*(i - 4)*(13*i + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**6*x**(3\/2))**(-23)*(x\/x**2*x*x*x**(4\/3))**(8\/11) assuming x is positive.\nAnswer: x**(-11273\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 - -38. Is (48\/s)\/(4\/30) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 0*t**2 - t**2 + 0 + 1 - t**3. Let m be x(-1). Let g be (-16)\/21 + m\/3. Is g at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, 5, 0, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**2*y**3 + 18722*a**2*y**2 - 2*a**2 + 169*a*y**3 + 2012*a*y + 13922*y**3 wrt y?\nAnswer: -6*a**2 + 1014*a + 83532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 66.29625 tonnes?\nAnswer: 66296250000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -k**3\/6 + k**2 - 3*k. Let x be z(6). Sort 1, 2, x in decreasing order.\nAnswer: 2, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -4715 in increasing order.\nAnswer: -4715, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96351640 divided by -770.\nAnswer: -125132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 k when four letters picked without replacement from {k: 3, l: 1, c: 4}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 4*n - 27, 3*n = -5*v + 13 - 1. Does 3 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 370312 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g + 1. Give b(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 m when three letters picked without replacement from aaaaamaaaaaaaamaaaaa.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 31.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 110158992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -4*u + 3 + 12*u**2 - 10 + u**2 + u. Let z be 297\/(-45) + 2\/(-5). Let b(c) = -9*c**2 + 2*c + 5. Give z*b(v) - 5*o(v).\nAnswer: -2*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k = -15*k - 87. Let m = 36 + k. Suppose m*c - 98 - 77 = 0. What is the greatest common factor of c and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -440 - -472. Which is bigger: 4 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*s - 8 = 0. Let n(j) = -j - 2. Let g be n(-7). Suppose -4*m + 17 - g = 0. Solve 16 = -4*v + 3*u, -s = v - m*u - 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 10000.49 meters?\nAnswer: 10000490000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 121316011 to the nearest integer?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c - 15. Let l be (9 - -7)*3\/(-3). Calculate k(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -m + 37. Suppose 5*s = -0*s + m. Suppose q + q + s = 2*p, -4*p - 5*q = -41. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*r + 14*r - 42 - 54 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0331*7.\nAnswer: 0.2317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 16. Let n(x) = x**2 + 7*x + 8. Let j be n(m). Suppose 0 = -s + 3*w - 12, -j*s - 4*w - 2 - 2 = 0. Let p(z) = z + 8. Calculate p(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*r - 10*r + 8*k + 38, r = -5*k - 23 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 12*t**2 + 26*t + 21. Calculate the remainder when q(-14) is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 324 - 292. What is the highest common factor of 224 and g?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1252045 (base 6) in base 10?\nAnswer: 69149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p, 2*f + 5*p - 4 = -2*f. Suppose -19 = s + 4*m, f + 12 = -s + 2*m. Is (-10)\/(50\/s) + (158 - 1) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*w**4 - w**4 + 2*w**4 + (3*w**3 - 5*w**3 + 0*w**3)*(-3*w + 5*w - 3*w) to c*w**3 + j*w + s*w**4 + b*w**2 + q and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -74504760 take away 384.521?\nAnswer: -74505144.521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 4477?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 54, 335, 802, 1455, 2294, 3319, 4530?\n\"Answer: 93*d**2 + 2*d - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 0.3 (b) -0.5 (c) -0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4415, 4422, 4433, 4448, 4467?\nAnswer: 4490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 0 - 3. Factor -22*d**2 - 150*d**l - 224*d - 250*d**4 + 502*d**2 - 145*d**3 + 32 + 95*d**3.\nAnswer: -2*(d + 2)*(5*d - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63238?\nAnswer: 2, 7, 4517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 d when two letters picked without replacement from haaauadduuahh?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.14635 to 2 dps.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20758 and 388.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.302 + -3.402. Which is the third biggest value? (a) 0 (b) 2\/141 (c) w (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.3? (a) -2\/3 (b) 5 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*22*85\/26554*2\/(-10).\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g*g**0)**36\/(((g*g**8)\/g)\/(g**(-2)\/g*g))*(g\/(g\/((g*g**0)\/g)))**6*(g**(-2))**(-36) assuming g is positive.\nAnswer: g**170","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1141.26287 - -1153.76286975. Let b = z - 12.5. What is b rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-448))\/(7*(-12)\/294).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 + -9 + 25 - 22?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**3 - 493035*c**2 - 635218320*c - 203283879260.\nAnswer: 5*(c - 99883)*(c + 638)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1324943 greater than 1324944?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59549565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9488957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -36, 4, -4 in decreasing order.\nAnswer: 4, -4, -6, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 25\/(-4)*(27\/((-675)\/(-220)) + -9). Sort w, -0.9, 2 in decreasing order.\nAnswer: 2, w, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 24*k**2.\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -28*d**2. Let a(c) = -26*c. Determine a(w(o)).\nAnswer: 728*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + k**2 - 6*k + 4. Let h be c(6). Is (6\/(-12))\/(2\/h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (935\/11220)\/((-5)\/36).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101111001101011 + 1?\nAnswer: 101111001101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 107960578 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -88479645.4 rounded to the nearest one million?\nAnswer: -88000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8075?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 940 and 60.\nAnswer: 2820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of 4*d**3\/3 + 3*d**2\/2 + 3*d - 7. Is q(-2) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 13*h + 39 - 20.\nAnswer: -13*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46 - -46. Suppose n = -3*g + 4 - 16, -5*i - 8 = 2*g. Suppose 0*w + 4*w - 300 = i. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10, 0, 20, 50, 90, 140, 200?\n\"Answer: 5*k**2 - 5*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 7, 109787 in ascending order.\nAnswer: 3, 7, 109787","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 16 - 0. Let k = o - -9. Put k, -1, 5 in descending order.\nAnswer: 5, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a - 2. Determine f(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13553*z - 525*z**3 + 13553*z)*(-3*z + 5*z - z).\nAnswer: -525*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 12:36 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bll when three letters picked without replacement from {b: 13, l: 5}?\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61650 is divided by 518?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 41 = 17 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -8648, -3, 10.\nAnswer: -8648, -5, -3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 534618 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -47350, -9, 3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**2 + 3*j. Let s be b(-2). Is 13 a factor of 1\/(s + -3)*-42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4336 - 2183*u**4 + 813*u**4 + u**2 + 972*u**4 wrt u.\nAnswer: -1592*u**3 + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hj when two letters picked without replacement from {b: 2, h: 1, q: 1, j: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 2\/5, 0.3, -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + 1\/2)\/(117\/312). What is the remainder when 39 is divided by t\/20 + (-207)\/(-15) + 0?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -72, -185, -332, -507?\nAnswer: -704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2674 and 27706.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of y**5\/10 - 3*y**4 - 88*y**3\/3 + 842*y. Factor n(w).\nAnswer: 2*w*(w - 22)*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115 = 5*z - 105 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/13)*j)\/j**(-3))\/(j*j**(-17)*j**(-10\/11)) assuming j is positive.\nAnswer: j**(2968\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 44 + (-19 - (-5 + 7))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9959 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k + 7. Let x(b) = 1. Calculate t(p) - 5*x(p).\nAnswer: 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9895694 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 658 divide 477050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + y - 10. Let u be k(-5). Suppose -x - u - 13 = -4*p, -3*x + 21 = 3*p. Let o be (-525)\/(-126) + (-1)\/p. Sort 1, o, 2 in increasing order.\nAnswer: 1, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 3*y + 4 + 6 = 0, y = -4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 + 99 = w + 2*d, w = d + 184. Suppose 2*i + w = 2*f - 8, 3*f - 289 = -4*i. What are the prime factors of f?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 12*y**2 - 1534*y + 15114. What is f(10)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(512) - (-1*sqrt(512)*-2 + sqrt(512)))\/(sqrt(24)\/(-6*sqrt(600))).\nAnswer: 1 + 960*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 224 - 17?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 875*v - 20676. Give o(23).\nAnswer: -551","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**2 - 6*g + 24. Let p(n) = 2*n**2 + 5*n - 24. Let d(x) = -3*a(x) - 4*p(x). Factor d(v).\nAnswer: -2*(v - 3)*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 124\/6 + (-1)\/(-3). Suppose -5*t = -z + 1. Find the third derivative of h**2 - h**4 + h**2 + 2*h**t wrt h.\nAnswer: 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/16185 and -85\/2158?\nAnswer: 32370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-116507)\/(10 + 3 + -14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -206734045*c**5 + 186821*c**2 + 16*c wrt c.\nAnswer: -12404042700*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*l + 1 - 1.\nAnswer: -44*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 9 + 23. Let d(p) = p**3 + 3*p**2 - 5*p + 2. Let y be d(-4). Let h be y\/(-2) + (3 - -7). Which is smaller: o or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-6 + 17) - (0 - 12) - (54 - -5)\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -136, -138, -140, -142, -144, -146?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 12*t - 127. Let n be h(11). Let v = 2.6 + -3. Which is the nearest to 2? (a) n (b) v (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m + 2*p + 6, 27*m - 28*m - 4 = -p for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32297.\nAnswer: 32297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 533070 is divided by 201?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31147 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-9)\/(-10))\/(168\/(-280)). Sort 3, 8, c, -0.1, 1\/7.\nAnswer: c, -0.1, 1\/7, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -164 + 380. Suppose 0 = -209*z + w*z - 168. Let g(d) = 2*d + 24. Let m be g(0). Calculate the highest common factor of m and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 12 = 7*r + 3*g, r - 3 = g. Suppose -5*s - f + 79 = 0, 66 - 9 = 3*s + r*f. Solve 0 = 3*o - 2*u - s, -4*o = -u - 13 - 7 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2490257483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 240\/(-108) + 4\/18 + 9. Let u = 13 - 1. Suppose u = q - i. What is the remainder when 53 is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -30, 0.1 in increasing order.\nAnswer: -30, -2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -1\/2, 4739\/3 in descending order.\nAnswer: 4739\/3, 0.3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express n**2 - 16*n**2 + 2*n**2 in the form o + s*n**2 + i*n and give s.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1767 is divided by 61.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -4\/3, -3, 5, -1\/928, -2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 5700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*z - 8 + 10 - 2 to the form t*z + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11\/5 in -51, -22, -3, -5, 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**4 + 3*w**4 - 3*w**4)*(2*w - w + w) + (4*w + 11 - 11)*(-3*w**4 - 17 + 17).\nAnswer: -8*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4199, -4197, -4195?\nAnswer: -4193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 15*a**3 - 216*a**2\/7 - 828*a\/7 + 48\/7 = 0.\nAnswer: -2, 2\/35, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3003979 is divided by 1004.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + q - 10, -3*j + 4*q = -13. What is the remainder when 38 is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*m - 4*v, 1 = -m + 4*v - 2. Sort -14, -5, m, 0 in ascending order.\nAnswer: -14, -5, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-4)*(0 - -10). Suppose -2*n + c*n = -486. Let z = n - -412. Round z to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8730*j - 71*j**2 + 317 + 7*j**3 - 8731*j - 318 to t*j**2 + c*j**3 + u*j + g and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 5*t - 3*k - 6, -5*t + 8 = -4*k. Let x = 5 + t. Suppose 3*z = -x*c - 4, 2*z + 5*c = -3*z. What is z rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-13)\/(858\/18))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -579*l + 51. Calculate a(0).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t**2 - 211*t + 37*t - 305*t to the form y*t**2 + d + h*t and give h.\nAnswer: -479","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74607 is divided by 1655.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 119028\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 - 17146*u**2 + 17149*u + 34294.\nAnswer: -(u - 2)*(u + 1)*(u + 17147)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -2807077 to the nearest one thousand.\nAnswer: -2807000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 13\/4 - 1\/4*h - 13\/4*h**2 + 1\/4*h**3 = 0. What is h?\nAnswer: -1, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 29143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5712 and 88536.\nAnswer: 177072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 6, i: 5, c: 2}. What is prob of picking 3 w and 1 c?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1347198775 to the power of 1\/3, to the nearest integer?\nAnswer: 1104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7 - -1)\/(15\/15). Suppose 4*z - z = 24. Let s = z + c. Solve -s*j + 3*j = 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -87*v - 379. What is the hundreds digit of q(-25)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/(-7) - (-22)\/(-77)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 15198?\nAnswer: 15193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = n - 298. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*m - 14. Calculate the remainder when 72 is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -7*x - 4. Let p be o(-3). Suppose -p = -b + 2*z - 4*z, -z = 2*b - 22. Are 11 and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 + -58. Do -21 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 845 - 837, -3*j = -5*s + 29 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-25)*v*v\/(v*(v\/(v\/v**(-10\/7)))\/v)*v assuming v is positive.\nAnswer: v**(-144\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 106236 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 e when three letters picked without replacement from {r: 6, e: 6}?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 31435481 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 82 - 52. Calculate the highest common divisor of 30 and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9566364*a*t**4 - 16*a*t**2 + 5*a*t - 72235961*a + t**2 wrt t?\nAnswer: 114796368*a*t**2 - 32*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 254, 17 in ascending order.\nAnswer: 3, 17, 254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 645 + -644. Solve 14*n + h = 43 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 330321221 (base 4) in base 13?\nAnswer: 89705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3, -2, -7, -12, -17, -22?\n\"Answer: -5*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2362848 divided by 5216\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 4*m**2 + 2*m - 4. Let j be h(4). Suppose 0*r = 3*k - j*r - 101, 3*k + 4*r - 133 = 0. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35245 - -36364. Calculate the remainder when 3384 is divided by f.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2191395002 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2*sqrt(147) + sqrt(147) + sqrt(147) + (sqrt(147) + -5 + 2*sqrt(147))**2)*-4 + -4.\nAnswer: -5380 + 840*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (((sqrt(130) + 1*sqrt(130) - sqrt(130)) + sqrt(130) - sqrt(130))*3)\/sqrt(10) + -2)**2.\nAnswer: -12*sqrt(13) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/3, -4.059, -10\/9, 3, 2\/11, -3\/41, 2\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -83 + 142. What are the prime factors of h?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 132 and 66.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -417*z + 20 = -413*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*u - 4*u + u to the form y + q*u and give q.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*t = -11*t - 310 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 61291640 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 887 + 625 = 8*u. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 6\/(-15))\/(807\/2690)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 5*l**2 + 0*l**2 - 6*l**2. Let g(n) be the second derivative of -n**3\/3 - n. What is g(p(f))?\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 217 divide 137955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 1:50 PM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -5, -1, -261 in descending order.\nAnswer: 2, -1, -4, -5, -261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38694 - 48037 = 2346*x + 138485 for x.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 14) to base 8.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12024277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7335, 6895, 6443, 5973, 5479?\n\"Answer: -b**3 - 433*b + 7769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 4*g - 7, -8 = -5*g + 5*j - 3*j for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.349 + 0.249. Which is the third biggest value? (a) 1 (b) 2\/5 (c) z (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 2 j, and 1 n when four letters picked without replacement from gggzgxngjjxxh.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 11:30 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 14*r + 22. Let d be l(-15). Let p(j) = 4*j - 17. What is the remainder when p(d) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 62*i**4 + 7*i**3 - 4*i - 232?\nAnswer: 744*i**2 + 42*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2487\/(-15) + (-1)\/5 + -3. Let d = b + 173. Solve -3*c - d = -5*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 348732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -24716, -24649, -24582, -24515, -24448, -24381?\n\"Answer: 67*i - 24783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tbffftnffffffgbfff. What is prob of sequence tg?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w + 64 = -13*w. Let m = -40 - w. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2208 and 207.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 168*s**4 - 32*s wrt s.\nAnswer: 2016*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 9548?\nAnswer: -4774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.968 + 0.032. Let o be 46\/360 - (-1)\/4. Let p = o + -2\/45. Which is the closest to w? (a) -3 (b) 0.2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - (-6)\/(-8)*18\/(-27). Let w = 1449 - 1450. What is the third biggest value in w, i, 0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2912)\/5 + (-315)\/(-225). Let f = -577 - g. Determine p so that 0 - 4\/3*p**f - 2\/3*p**3 + 2\/3*p**5 + 0*p + 4\/3*p**2 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(17\/((-34)\/4) + (55 - 3)). Solve -b*n + 11*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (26*r - 10 + 11 - 4)*(3*r**2 + 2*r**2 - 4*r**2) in the form l + d*r + h*r**2 + a*r**3 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.236 and 12749.\nAnswer: 15757.764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 1 + 6 + 5*i**2 - 9*i**2 - 4*i. Let z be s(-7). Let k = -12 - z. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 38*c + 41*c + 0*c - 9*c - 30 with respect to c.\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 191988059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 97638938\nAnswer: -3\/97638938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + -1. Let q = -15 - a. Let v(s) = -s**3 - 5*s**2 + 5*s + 2. What is the units digit of v(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10157976991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/34)\/(468\/(-1872)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 7, 1, 5, -678, -3 in ascending order.\nAnswer: -678, -3, -1, 1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/2)*n)**(-15)\/(n\/n**(-1\/27)*n**(-11)))**24 assuming n is positive.\nAnswer: n**(-2708\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 246449 to the nearest integer?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**2 + 6*m + 8. Let z be l(-2). Put 1, -2, z in increasing order.\nAnswer: -2, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.97 + -0.5\nAnswer: -8.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1098587 or 1098547?\nAnswer: 1098547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -88530*g**3*l**2 + g**3 + g**2 + 3*l + 994 wrt l.\nAnswer: -177060*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -43, -66, -97, -142, -207?\nAnswer: -298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 8:20 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 14*x - 75 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 135259 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 669\/236266 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 965440352?\nAnswer: 2, 811, 37201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g + g**3 + 2*g + (18 - 2548*g + 5086*g - 2564*g)*(-2*g + 2*g + 2*g**2) - g**3 + 0*g**3 + 0*g**3.\nAnswer: -52*g**3 + 36*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**5 + 494*d**3 - d**4 - 98*d**3 - 154*d**3 + (-7 + 2 + 3)*(-21*d**5 + 16*d**5 - 34*d**5).\nAnswer: 76*d**5 - d**4 + 242*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -214 - -211 - (3 + 18).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.1 (b) 4 (c) -13 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 1:32 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3\/2 - 108272265*n**2\/2.\nAnswer: 5*n**2*(n - 21654453)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*139766954.\nAnswer: -13976695.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -b**4\/4 - 11*b**3\/3 - 5*b**2\/2 + 3*b - 2. Let s be z(-10). What is s rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43.16 + -7.36. Let f = -35.8 + y. What is the fourth smallest value in -1, 5\/2, f, -0.05?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c - 6. Let u be f(4). Let g(k) = -5*k + 71. Let m(p) = 3*p - 47. Let n(y) = -5*g(y) - 8*m(y). List the prime factors of n(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -1, 2, -4, -13, 1144?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 2 (b) -4 (c) 14.083 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 2279 and 2279 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -88 - -86.81. Let p = -1.2 - f. Let g = p - -0.11. Round g to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 12*c**2 + 5*c**3 + 7*c + 8 - 4*c**3 + c + 3*c. Suppose -5 = 2*m + 17. What are the prime factors of g(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 115630026 to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 75588 minus 0.3?\nAnswer: 75587.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**4 + s**3 - 1. Let x(q) = -15*q**3 + 15*q**2 - 6*q + 3. Let k(l) = 3*j(l) + x(l). Factor k(p).\nAnswer: 3*p*(p - 2)*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3105 and 1755?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 2*t + 3*t. Suppose -4*o = b + t, -4*b = -7*b + 15. Let z be 2 + -3 - (o - -2). Solve -j - 2 = -z for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 11*j - 7. Let f be o(5). Let y = f - 17. Is y a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 2*d + 73, -5*b - d - 69 = -0*b. Are b and -13 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*v + 5 + 6*v - 8*v)*(4*v**2 + 11 - 11) in the form k*v**2 + h*v**3 + m + q*v and give k.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*x = 25, 3*q - 13 = -2*x - 3. Let g be (-4)\/(-66)*(4 - 1). Factor 2\/11 - g*s**4 + q*s**2 + 4\/11*s**3 - 4\/11*s.\nAnswer: -2*(s - 1)**3*(s + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2311407 and 27.\nAnswer: 6934221","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 111 = -3*y, -4*n + 5*n - 11 = -5*y. Suppose -3*i + 61 = 5*j, -i - 4*j + 2*j + n = 0. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c**7\/c)\/c)\/(c\/(c**(2\/29)*c)))**(-9\/4)\/(c**(-2\/19)*c**0*(c\/(c\/c**(-3)*c)*c)\/c**(-6)) assuming c is positive.\nAnswer: c**(-41435\/2204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, d: 4}. What is prob of sequence wwdw?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 42*f - 204. Give w(4).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (p**3 - 3 + 0*p**3 + 1)*(1 + 2 + 6*p - 6) - 5*p**4 + p**4 - 4*p**4 in the form n*p**2 + q + i*p + z*p**4 + a*p**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 146\/7 or 22?\nAnswer: 146\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-11*22\/(-968))\/((-2)\/176)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 128\/3 > 42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -5*c + 1. Suppose 8 + 13 = 3*g. Calculate the lowest common multiple of g and a(-2).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 3*g - 1. Let s be w(-4). Let t(l) = -10*l + 4*l + l**2 + 5*l + 6 + 4*l. Let i be t(s). Solve -i = -4*c - 4 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -76 + 34. Let f be u\/18 - 2\/(-1). Let j = -21\/46 + -1\/23. Sort -1\/7, f, j in descending order.\nAnswer: -1\/7, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14975182333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 902786489 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 2 - 1 + 1 - 1 + (-3 + 6 + 0)*(3 - 3 + 1))*(0*y**4 + 0*y**4 - y**5).\nAnswer: -3*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 + 2)*(-2*f**2 - f**2 + 5*f**2) + (7*f + 0 + 0)*(0*f - 4*f + 5*f))*(-3 + 3 + 3*f**2).\nAnswer: 33*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-80)\/(-70))\/(2\/14). Suppose 7*j = 3*j + f. Solve -3*h = -j*a + 6, -30 + 9 = 3*h + 3*a for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 14*j + 13. Let h(u) = -7*u + 7. Let q(i) = -5*h(i) + 3*v(i). Is q(4) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 107 or 7762?\nAnswer: 7762","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107711, -215563, -323415, -431267, -539119?\nAnswer: -646971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 f when two letters picked without replacement from {i: 2, e: 1, t: 1, r: 2, d: 1, f: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/4)\/((-3 + 6)\/3). Let z(w) be the first derivative of 0*w**2 + 0*w**3 + 3 + u*w**4 + w. Differentiate z(t) with respect to t.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 434945*w. Let a(i) = -9*i**2. Give q(a(c)).\nAnswer: -3914505*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/397152 and -87\/1632736.\nAnswer: 14694624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 3)*(-2*g - 1 + 1)*(6 - 5 + 1).\nAnswer: -16*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9241, 12032, 14823?\n\"Answer: 2791*i + 6450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -150 less than -148?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, j: 6, e: 1, z: 2}. Give prob of picking 1 z and 1 f.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 7 + 8 = -2*y, 10*y - x = 3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40*j**4 - 81*j**3 - 17128*j**2 wrt j.\nAnswer: 960*j - 486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {z: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that r**4\/2 + 93*r**3 + 796*r**2 - 93*r - 1593\/2 = 0.\nAnswer: -177, -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27506838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13213410 + 111?\nAnswer: -13213244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 138 - 79. Let h be (814\/(-33))\/(2\/3). Let j = q + h. Is 11 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -148, -154, -160, -166, -172?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 900 and 30006.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 8*p - 6)*(-4*p - 4*p + 5*p)*(p**2 - 2*p**2 + 2*p**2).\nAnswer: -24*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 843936 and 57171?\nAnswer: 272591328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 6*g**2 + 3*g - 1. Let u be c(-5). Let z = 133 - 365. Let v = u - z. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/13, -2\/7, 2224, -0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 17*w - 252. Let q = w - 3. Which is the smallest value? (a) 0 (b) -3 (c) 3 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-9)*(-3)\/12*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 25*c**2 + 41*c + 11. Let o be z(-23). Calculate the highest common factor of 70 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of 2\/5*m**5 - 7\/2*m**4 + 0*m + 16\/3*m**3 + 42 + 16*m**2. Factor v(p).\nAnswer: 2*p*(p - 4)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**4 - 476*p**2 + 2 + 4 - 2*p**3 + 479*p**2 to the form a + t*p**3 + o*p**2 + f*p**4 + q*p and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 2 - (53 - 34)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/5 and 13\/88.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r**2 + r. Let y be m(-1). Let h be (-2)\/(-3)*y\/7. Which is the biggest value? (a) h (b) 4 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 10*n**2 - 28*n + 15. What is z(7)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 5. Let c = 0 - 0. Let l = 3 - 8. What is the nearest to 1 in y, l, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/((-264)\/80))\/(4\/12).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l\/(l*l**(-3\/5)))\/l)**(-2\/15))**18 assuming l is positive.\nAnswer: l**(-36\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(4\/7)\/(y\/y**(-2)*y))\/(y**(1\/4)\/y)**(-1\/11))**10 assuming y is positive.\nAnswer: y**(-5385\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 4:44 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 128 - 121. Let b(g) = -g. Give b(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-6)*(-6)\/4. Let h = 160 + -161.94. Let l = h - 0.06. What is the third smallest value in 2, w, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6802 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-48)\/(-21))\/(((-42284)\/(-434))\/(-31)).\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -69.8 times -217486?\nAnswer: 15180522.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 3:00 PM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(11)*1*-4)**2 - -2*sqrt(11)*-2).\nAnswer: -1056 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 3506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-2)*28\/42. Let t be (24 + 1)\/(o\/(-2)). Suppose -z + 0*z = -4*s - t, -3*s = -4*z + 265. Calculate the highest common factor of 35 and z.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p**(-2)*p)\/p)\/p*p*p\/(p\/(p**(-3)\/p)))\/(p**2)**(3\/32))**9 assuming p is positive.\nAnswer: p**(-747\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 4*r + 2605033 - 2605179 = 0, 2*l - 178 = 5*r for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24188, 46478, 68754, 91010, 113240, 135438, 157598, 179714?\nAnswer: 201780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-1) + 0 + -5. Is (-280)\/(-6) + (-1)\/l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 12 = 4*f - 12, -f = 4*i - 21. Let n be (40\/(-50))\/((-2)\/i). Let d be (7 - 2)\/(-5)*2. Sort d, 1, -1, n in descending order.\nAnswer: n, 1, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -113 - -203. What is the highest common divisor of x and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l*l\/l**(-2\/9))*l*l*l**(-3\/7))**(-28\/5) assuming l is positive.\nAnswer: l**(-68\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (33\/(-9) - -3)\/(16\/(-120)). Solve f = g*c, -7*f = -11*f + 3*c - 17 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 261 + 98. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 623071151?\nAnswer: 47, 1429, 9277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2 + 221442048*v - 4086381718536192.\nAnswer: -3*(v - 36907008)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 8:56 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 36\/15 - 6\/15. Solve -g - 5 = -3*n, -4*g = -i*n + 4*n - 22 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11819412?\nAnswer: 2, 3, 11, 9949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/43 and ((-3)\/(-84)*2)\/((-8)\/(-16)).\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 8*p**2 + 3*p + 6. Let d be v(-6). Find the common denominator of 101\/20 and 54\/d*(-34)\/(-12).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1857, 3714, 5569, 7422, 9273, 11122?\n\"Answer: -p**2 + 1860*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1468*t**2 + t**3 - 3222*t**2 + 1168*t**2 + 4*t**3 + 0*t**3 - 3*t**3 + (-2*t**2 + 6*t**2 - 2*t**2)*(t + 0*t + 0*t).\nAnswer: 4*t**3 - 3522*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 941704 divided by -17768?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -15, -10, -7, -6, -7, -10?\n\"Answer: -r**2 + 8*r - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 11*b**2 + 18*b + 12. Let c be a(9). Let n be c*(-3 - 26\/(-8)). Solve 0 = -3*w + 2*p - 5, 5*w + n*p - 3 + 24 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-21)*(-336)\/8?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1025 is divided by 51.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1929665 divided by -47065?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ckksackkskakkscskks. Give prob of picking 3 k.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -36.\nAnswer: -36, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315143 is divided by 442?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/40 and 47\/24193625.\nAnswer: 193549000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6422 = -5*d - 4*i, -d + 2*i + 721 = -555. Suppose -2*k + d = 4*f, 3*f + 15*k - 959 = 13*k. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1719331 to the power of 1\/2, to the nearest integer?\nAnswer: 1311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*t**4 + 6*t**3 + 440*t**2 + 26433*t?\nAnswer: 24*t**2 + 36*t + 880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 70233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*s - 19*s + s - s**2.\nAnswer: -s*(s - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5754 = -12*v + 26*v. Calculate the remainder when v is divided by ((-71)\/(-2) - 1)\/(56\/112).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91178 is divided by 991.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1139 = 94*a - 1330 + 9873 for a.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 6:18 AM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -7971.\nAnswer: -15942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92 - 64 - 28 - 2*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (2 - 8) + 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -930 + 469 + 481 = -s + 2*z + z, -2*z + 10 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 133753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*q**2 - 3\/2 + 3*q.\nAnswer: -3*(q - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sck when three letters picked without replacement from {k: 1, c: 7, s: 1, i: 6}?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10305 and 1180266.\nAnswer: 17703990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(8)\/(-1*sqrt(4) - sqrt(4)))**2 + (((-1*sqrt(20))\/sqrt(5))\/sqrt(2))**2 + (sqrt(10) - (2*sqrt(250) + sqrt(10)))\/sqrt(5)*3*5.\nAnswer: -150*sqrt(2) + 5\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*z**4 + 3*z**4 + 0*z**4 + (2*z**2 - z + z)*(-3*z**2 + 3*z**2 - z**2) as x + k*z**3 + n*z**2 + a*z**4 + t*z and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence brvj when four letters picked without replacement from {v: 4, b: 1, j: 3, r: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 150.1087 to 1 decimal place.\nAnswer: 150.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*a + j - 4*j, 0 = -j + 2. Solve 0 = 4*x - a - 14 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1686, -1911, -2284, -2805?\n\"Answer: -74*i**2 - 3*i - 1609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0749361704 rounded to 3 dps?\nAnswer: 0.075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 152 - 152. What is the common denominator of (-166)\/32 + a - (-1 - 3) and 9\/28?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 554920 is divided by 5913?\nAnswer: 5011","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 87 = -52. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -236 + 387. Let s(h) = 12*h - 8. Let t be s(13). Let r = y - t. Let w(m) = m - 1. Let v(c) = c**2 + c - 4. Determine r*w(b) - v(b).\nAnswer: -b**2 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s - 4. Let n(r) = 5*r + 18. Let t(v) = 3*v + 17. Let p(z) = 3*n(z) - 4*t(z). Let h(y) = 4*p(y) - 14*u(y). Let k(w) = 53*w**2. What is h(k(l))?\nAnswer: -106*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2375 a factor of 98154000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 16*t - 45. Sort t, -55, 8, 2 in decreasing order.\nAnswer: 8, t, 2, -55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -0*p - 241. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -10\/9*i**3 - 76\/9*i**2 + 16\/9*i**4 - 2\/9*i**5 + 0 - 16\/3*i = 0.\nAnswer: -1, 0, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j**3 - 189605*j**2 - 568860*j = 0 for j.\nAnswer: -3, 0, 37924","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3831 + 0.6831. What is the closest to -1\/4 in n, -1, -0.05, 5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 21\/(-14) - (0 - 0) - -1. Which is the third smallest value? (a) 0 (b) -4\/3 (c) u (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3521, 5 in decreasing order.\nAnswer: 3521, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 7*o + 2 + 1 + 2 - 12*o. Let x(l) = -4*l + 4. Determine -2*q(y) + 3*x(y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 13, d: 3, f: 2}. What is prob of picking 1 d and 1 a?\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (25003 - 3)\/5*-15164. Round d to the nearest 1000000.\nAnswer: -76000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36335 and 2150?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 7. Let t be (y\/6)\/(-2)*0. Let q = t - -14. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 7*d = -2*d + 2, -3*v = -4*d - 4. Suppose -1 = -2*p + 3*b, 5*b = -3*p + v*b - 4. Let k = -0.08 + 0.1. Is k < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2. Let d(b) = 3*b + 2*b - 5*b - 2*b**2. Let l(u) = u**2 - 3*u - 1. Let x be l(3). Calculate x*d(j) + 5*q(j).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25145, -25181, -25267, -25421, -25661, -26005?\nAnswer: -26471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -47 + (0 - (0 - 2) - (386 - 386)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 53*y - 48*y - 150. Suppose -3*d + 2*b - 30 = -6*d, y = 3*d - 3*b. Calculate the lowest common multiple of 14 and (-4)\/d - (-6520)\/50.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4497 take away 0.056?\nAnswer: 4496.944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.08 (b) -0.5 (c) 84\/205 (d) 4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**2. Let d(g) = 13 - 13 - 10*g**2 - 4*g**2. Determine s(d(k)).\nAnswer: -392*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001135741 to 6 dps.\nAnswer: 0.001136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 110851 times -228.2\nAnswer: -25296198.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -232 (base 4) to base 3.\nAnswer: -1201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of y**4\/12 + 4*y**3 - 20*y**2. Let m be g(-9). Suppose 2*p = m*p - 1316. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 8\/3*a - 1\/3*a**2 - 16\/3 = 0. Calculate a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/36 and 4 - ((-133)\/546 + 3)?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 + -16 + 19 + -9 + -12\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81520, -81584, -81638, -81676, -81692?\nAnswer: -81680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*b + 12*b - 54*b)*(6 - 5 - 3).\nAnswer: 108*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 155\/84 and 133\/30?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/13*n**3 - 4\/13*n + 6\/13*n**2 + 0.\nAnswer: -2*n*(n - 2)*(n - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, l: 2}. Give prob of sequence hh.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**5 - 2*t**4 - t**2 - t - 1. Let h(p) = -4*p**5 - 26*p**4 + 286*p**3 + 689*p**2 + 366*p + 5. Let f(m) = -h(m) - 5*q(m). Factor f(a).\nAnswer: -a*(a - 19)**2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 7*h + 36 = 0. Let s be (-54)\/(-42) - 1\/(21\/h). Which is the closest to 0.2? (a) 0.2 (b) s (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45234 divided by 6\nAnswer: -7539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -4*l + 12, -5*l - 45 = -c - 4*c. Let d be (12 - 10)*c\/4. Solve 3*m + 30 = -d*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/(y*(y**(8\/11)*y)\/y)*y)*y**(2\/25)\/y*y*y**(-20)*y\/((y**(-4\/7)*y)\/y) assuming y is positive.\nAnswer: y**(-33921\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1064363 is divided by 4003?\nAnswer: 3568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1013 (base 6) in base 15?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6503 (base 15) in base 12?\nAnswer: -10456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195*p + 102*p + 96*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -0.7 (b) 1 (c) 21 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - j + 3 - 3 + j + (5 + 2*j - 5)*(3 - 5 + 3) - 2 + 2 + j + 3*j - 4*j - j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-8))\/(8\/(-192)). Sort z, -4, -5 in descending order.\nAnswer: z, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 93396?\nAnswer: -93392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/10*155\/124. Suppose 3 = 5*z - 12. Sort 2, n, z.\nAnswer: n, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t**3 + 4*t**2 + 3. Determine j(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1000*(413 + 9\/(-3)). Round v to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 5*o - 8. Let w be 4\/6*(0 + 3). Suppose 2*d - 24 = -w*d. Let n(p) = -1 + 6 + 2 - 4*p. Determine d*n(i) + 5*m(i).\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 143189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 594 and 11.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*t + 235*t = -3656 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3\/7 - 300*t**2\/7 - 201*t + 1710\/7.\nAnswer: -3*(t - 1)*(t + 6)*(t + 95)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -62? (a) -1 (b) 2\/27 (c) -259\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 + 1)*(4*o + o - 2*o - o + 0 + 0 + (-1 - 2 + 5)*(-5*o - o + 2*o) - 5*o - 9*o + 10*o + o + 0 + 0) as r + j*o and give j.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 30, 49, 74, 105, 142, 185?\nAnswer: 234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9809 + 9832. Let a = -20 + 19.8. Is j at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 72*i + 3 - 4*i**3 - 2 + 2 - 5 - 6*i**2 - 121*i as n + u*i + v*i**3 + h*i**2 and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3761.\nAnswer: 3761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, l: 4, c: 2}. What is prob of sequence cl?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -2 + 2\/3*c**3 + 0*c - 3\/2*c**2. Find the second derivative of q(g) wrt g.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101 + -255 + 461 + -1 + 2 + -22.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2519*d - 1664*d - 855*d - 1355*d**3.\nAnswer: -1355*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 986365 is divided by 493069.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 - -26.4. Let o = -63\/2 - -30. Which is the third biggest value? (a) o (b) x (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26050.374 months to centuries.\nAnswer: 21.708645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8668 divided by -4.\nAnswer: 2167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 1. Let d = 1 + w. Suppose 1024 = 441*l - 2211 + 1030. What is the second smallest value in d, -3\/2, l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 73*x + 246 - 122 - 123 - x**4 as g + b*x**4 + v*x**2 + a*x + y*x**3 and give a.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 70 - -2. Suppose -2*n + g = n. Suppose -2*d = -m + n, -17 = -3*m - 4*d + 15. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwzwzwwzwzwwzwwwww. Give prob of picking 1 w and 2 z.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -s**5\/20 - s**4\/12 + s**3\/6 + 4*s**2 - 4*s. Suppose 2*z + 13*z = 5*z. Determine l(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8175, -5153, -115, 6939, 16009, 27095, 40197?\n\"Answer: 1008*o**2 - 2*o - 9181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.318 and 0.2?\nAnswer: 0.0636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n - 54*n + 33*n - 52*n + 14*n.\nAnswer: -66*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53\/132 - -13\/132. Factor -t**2 - x + 9\/4*t.\nAnswer: -(t - 2)*(4*t - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - -1)\/((-2)\/(-54)). Let b(t) = 27 - x + t**2. Let u(c) = -c**2. What is u(b(q))?\nAnswer: -q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9736094 take away -0.5607?\nAnswer: 9736094.5607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2dc54 (base 15) to base 7.\nAnswer: -1154131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in 8, 2\/7, -2\/5, -0.1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -124, 2, -0.4 in descending order.\nAnswer: 2, -0.4, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 0, 49, -12 in decreasing order.\nAnswer: 49, 2\/7, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -39 - 18 - y**3 + 38 + 10*y**2 - 7*y. Let a be x(9). Is a*(-5 - -6)*-1137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -906789*s**6 + 41*s**2 - 3*s + 703 wrt s?\nAnswer: -108814680*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7448000 rounded to the nearest one hundred thousand?\nAnswer: -7400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) -2 (c) -0.96 (d) 2\/15 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n**3 + 7*n**2 - 3*n + 39. Let k be a(16). Suppose -h = -4*h + 4*m + k, 0 = 2*h - m - 9374. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -366\/5 + 73. Let r(t) = 2*t - 28. Let q be r(20). Suppose 26*c + q = 20*c. Put w, c, 1\/4 in descending order.\nAnswer: 1\/4, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 11934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -35.5 times 16\nAnswer: -568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 2*s - 0*d - 12, 2*s + 4 = 5*d for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9993400, 9993398, 9993396, 9993394?\n\"Answer: -2*f + 9993402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-7)*m*m*m\/m**(-1))\/(m\/m**(-1\/3)*m*(m*m*m**5*m)\/m)*((m*m*m*m\/m**(-5)*m*m)\/(((m**(6\/7)*m*m)\/m)\/m))**(-7) assuming m is positive.\nAnswer: m**(-205\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1252 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 4*o**2. Let b(y) = -15*y**2 - y**2 - y**2. Calculate b(m(n)).\nAnswer: -272*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 - 2)*(-1 + 4 - 1)*(-6*m - 6 + 6) as q*m + c and give q.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -137068.92 to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + -12 + (-11 - -52) + -20?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.34 - -0.34. Let p = -2215 + 4431\/2. Which is the closest to -0.1? (a) f (b) p (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 16) in base 14?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 219785186 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -788 + 312 = 4*l. Let i be (1224\/l)\/(-2 - (-13)\/7). What is the greatest common divisor of 120 and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + n = 6, -6*s + 8*s + 2*n = -12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4273 - 4272.7. Which is the biggest value? (a) l (b) -3 (c) 1 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -p + 3 - 1, 5*p = -5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j + 11. Let i be w(-7). Let z(s) = 2*s + 3. Let o(d) = d + 1. Let a be (0 + 0)*4\/(-12). Suppose a = -2*q - 2. What is i*o(t) + q*z(t)?\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 54703 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214468544?\nAnswer: 2, 3351071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/7)\/((-6)\/(-21)). Suppose 0 = -c + 13 + a. What is the third derivative of -i**2 - 8*i**6 + 19*i**3 - c*i**3 + 9*i**2 wrt i?\nAnswer: -960*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.313105 decades in millennia?\nAnswer: 0.07313105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g. Let h(v) = 378*v + 542*v + 1047*v - 1032*v. Give d(h(r)).\nAnswer: -1870*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1435)\/(-410))\/((-4)\/(-24)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 7*m + 12. Let q be 6*(-3)\/(-24)*(12 - 32). Let b be 299\/39 - (q\/(-9) + 0). Calculate s(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/4))**35*q\/(q*q**0\/q)*q\/(q\/q**(-2\/3)*q) assuming q is positive.\nAnswer: q**(-113\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 6)*(-5*w**2 + 15*w**2 + 0*w**2)*(-w**3 + 4 - 4).\nAnswer: -20*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 57 + (-37 + 96 - 13 - 14)\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.8 - 0.2. Suppose 3*s + 4 + 2 = 0. Let h = -21.584 - -21.184. Which is the third smallest value? (a) h (b) u (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(288) + 1)*3 - sqrt(288)) + 1 + 0 + 2*sqrt(288)*1)**2 + 1)*3.\nAnswer: 1152*sqrt(2) + 13875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 35*b**5 + 31*b**2 - 12*b + 3. Let w(k) = -34*k**5 - 31*k**2 + 10*k - 2. Let i(u) = -5*p(u) - 6*w(u). Find the third derivative of i(a) wrt a.\nAnswer: 1740*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 6*v**2 - 8*v - 7. Let i be r(-7). Suppose i = 4*j - 3*j + 2, -j = 2*w - 434. List the prime factors of w.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26452?\nAnswer: 2, 17, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65640045 is divided by 66572?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1094177411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.18, 14, -0.03, 2, -0.2, -3\/94, 1\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110 + 100?\nAnswer: 11010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11947 is divided by 104?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.22, 1, 4, 0.5 in descending order.\nAnswer: 4, 1, 0.5, 0.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -255544332 < -255544332?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 71506807153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2405 (base 6) to base 12.\nAnswer: -405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 272 - 99. Let d = h + -167. Solve 0 = -i - 1 + d for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-5*t + 3 - 3)*(-9*t + 5*t - 8*t) + t - 3*t + 0*t**2 + 2*t**2)*(-5*t + 13*t + t) in the form a + o*t + i*t**3 + p*t**2 and give p.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/1017 and -10\/1017.\nAnswer: 1017","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5360 and 73113080.\nAnswer: 2680","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 6*k - 22 - 11. Solve -5*s + 3 + 6 = 2*b, -k*b = -6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*5*4*sqrt(5)*-2.\nAnswer: -80*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*v + 21*v - 13 - 41*v + 26 - 10*v**2 to the form l*v**2 + q*v + f and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2*q + 5 = -1, h + 4*q = -7. Let r be (36*4\/8)\/h. What is the highest common divisor of r and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of l**6\/3 - 4*l**5\/5 - l**4\/2 + 4*l**3\/3 + 4. What is c in t(c) = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -7. Let p(z) = -z + 8. Let d(q) = 5*j(q) + 4*p(q). Let g be d(-2). What is the nearest to g in -0.2, 0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*m + 2*m - 1 + 3*m + (8 - 98 + 22)*(-1 + 0 + 2)*(5*m + 0 + 0).\nAnswer: -342*m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2091961 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*p = -326 + 111 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.398483 rounded to three dps?\nAnswer: -0.398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011 (base 4) in base 10?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/y**(-8\/9)*y*y*y)**(2\/21)\/(y*(y*y**(-19\/5))\/y*y**31))**28 assuming y is positive.\nAnswer: y**(-104476\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -485, -494, -511, -536, -569, -610, -659?\nAnswer: -716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(44))**2 + sqrt(1584)*2.\nAnswer: 24*sqrt(11) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 14*r + 2. Let u(s) = -5*s + 8. Let m(d) = -45*d + 70. Let k(v) = 4*m(v) - 35*u(v). Give k(q(t)).\nAnswer: -70*t - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -86 - (-7 + 8) - (39 + 0)\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -1\/3*s**3 + 13\/120*s**6 - 3\/40*s**5 + 15\/8*s**2 + 0 - 11\/12*s**4 - 1\/84*s**7 + 112*s. Suppose w(h) = 0. What is h?\nAnswer: -1, 1\/2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y**3 - 8*y**4 + 2 - 10*y - 4*y**3 - 3*y**3 + 4*y**3 + 6*y**2 = 0. Calculate y.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 3*u. What is the units digit of 5 + (-3)\/(-3)*u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/((m**3\/m)\/m))*m**(2\/5)\/m)**18*(m**(2\/3))**(9\/4)\/(m\/m**(2\/3))**4 assuming m is positive.\nAnswer: m**(221\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7228?\nAnswer: 2, 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234420 - 4520 = 44*h. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 21 + 4*u**2 - 5*u**2 - 2*u + 3*u + 10*u - 7*u = 0.\nAnswer: -3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l - 5. Determine s(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.3, 1\/14, 0, -13\/6?\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -6*n**3 + 6*n**2 - 5. Let x(d) = -d**3 - d**2 - 1. Let m(o) = c(o) - 5*x(o). What is the third derivative of m(h) wrt h?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0\/(n**(-2\/5)*n))**(12\/7)*n*n**(-1\/4)\/n*n\/n**0*n*n*n**(-3\/4)*n**3\/n assuming n is positive.\nAnswer: n**(104\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -2*h + 5*c + 2, h - 5*c = -20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13*d*r**2 - 15717*d*r + 5*r**2 - 30034*r - 4 wrt d?\nAnswer: 13*r**2 - 15717*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1161 and 65661?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l - 38. Let a be z(-15). Is 14 a factor of (123552\/154 - 2\/a) + -4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**2 + 2*b. Let d(r) = 31*r**2 - 32*r. Let m(o) = -d(o) - 16*p(o). Let s(g) = 13613*g**2. What is m(s(t))?\nAnswer: 185313769*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3626, 7202, 10788, 14390, 18014, 21666, 25352, 29078?\n\"Answer: w**3 - w**2 + 3572*w + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.17 + 1.17. Which is the second smallest value? (a) p (b) -2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**4 - 3*l**4 + 4*l**4 + (3*l**4 - l**4 + 2*l**4)*(2 - 1 - 3) - 414*l**4 - 3693*l**3 + 3693*l**3.\nAnswer: -423*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 361 divide 16431276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x + 1. Suppose 6 = 9*f - 6*f. Suppose -3*k - k + f*g = -14, 0 = -5*k - g. Determine o(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/26603555 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 0*m + 0*m**2 + 54 + 1\/3*m**3. Let j(d) = 210*d. What is j(b(a))?\nAnswer: 210*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 5 + 2)*(-h + 0 + 0)*((-1 + 2 + 1)*(2 - 3 - 4) - 3 + 6 - 5) to k*h + r and give k.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 3958180.\nAnswer: 1\/989545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l\/l**(3\/4)*l)\/(l\/l**(2\/9)))\/(l**(-1\/12)*l**(-6)))**(6\/17))**(-12) assuming l is positive.\nAnswer: l**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*a + 19*a + 8*a = 5*v - 46, -4*a = -4*v - 16 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 58961 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/2502 and -79\/8052.\nAnswer: 3357684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -b**7\/252 + 11*b**6\/720 + b**4\/3 + b. Let k(o) be the third derivative of p(o). Find the second derivative of k(f) wrt f.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 579 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v - 4. Calculate i(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87756 divided by -64.\nAnswer: 21939\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113453, 226868, 340243, 453578, 566873, 680128?\nAnswer: 793343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72367?\nAnswer: 72367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(1\/(-211))*-1. Let o(v) = 44*v**3 + 2*v**2 - 2*v - 2. Let k be o(2). Let n = s + k. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/170, -2.2, 1\/4?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -729 + 724.8. What is the third smallest value in u, 9, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 3) to base 9\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1417*z**2 - 1418*z**2 - 3*z**3 + 18 + z**3 as x + q*z + p*z**3 + h*z**2 and give x.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 4:16 AM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 12:09 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/9169 - -137417\/540971. Which is smaller: n or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53781.\nAnswer: 3, 7, 13, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2139186 = 27*u - 9*u, 2*u - 237690 = -d. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(45) - sqrt(405))**2 - (sqrt(125) + 1)**2*-1.\nAnswer: 10*sqrt(5) + 486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 36?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, -5, 1\/4, -23?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - 2 + 2)*(4 - 1 - 7).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4323101004022 + -1?\nAnswer: 4323101004021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5*l = -24, -5*s + 2*l + 9 = -3. Suppose 0*x - 3*x - 8 = -5*f, -s = -x. Suppose f*m = -3*y + 514, 203 = 5*m + y - 434. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 0.2 (c) 103 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 9*w - 11. Let z(v) = -4*v - 5. What is -3*n(t) + 7*z(t)?\nAnswer: 3*t**2 - t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 445 = -4*u, -u - 7*k + 85 + 9 = 0. Which is the nearest to u? (a) 0 (b) -0.4 (c) -2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 94557*x**5 - 3*x**4 - 2*x**3 + 3*x**2 - 22*x + 654 wrt x?\nAnswer: 5673420*x**2 - 72*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 308022 to the power of 1\/2, to the nearest integer?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15 and -2.971?\nAnswer: 44.565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -d**5\/20 + d**4\/2 - d**3\/2 + 2*d. What are the prime factors of s(5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -57 + 103. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147 = 4*a - 167 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1020001200 - 11?\nAnswer: 1020001112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3462 and 5193.\nAnswer: 10386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84 and 696.\nAnswer: 4872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 4, -2 = d + 52*q - 53*q. Let k = -4 + 4.2. Let m = k - 0.2. What is the closest to m in d, -2, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 568783, 568851, 568919, 568987, 569055, 569123?\nAnswer: 569191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.1 + -2. Let r = 0.1071 + 1.9389. Let v = -0.046 + r. Which is the nearest to -0.2? (a) j (b) v (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*w = -94*w + 366922. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-8)\/(64\/135060)*(-2)\/(-6)*-2 is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**3*i**2 + 291232*a**3*i - 34*a**2*i**2 + 62*a**2*i - a*i**2 - a + 3*i**2 wrt a?\nAnswer: 12*i**2 + 1747392*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 365997 + -366056.999855. Let i = o - -60. Round i to five dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 147*a**2 - 232*a**2 - 199*a**2 in the form j + l*a + i*a**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3339, -3057, -2609, -2013, -1287, -449, 483?\n\"Answer: -3*z**3 + 101*z**2 - 3437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 5*j + 37, -f + j + 29 = f. Let p be ((-4)\/(-7))\/2 - 60\/f. List the prime factors of (-3)\/p + (4 - (-1710)\/24).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43 + 45. Let h be (y\/6)\/(2\/24). Let d(k) = -k**3 + 3*k**2 + 7*k - 9. Give d(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 147 and 61825729.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3 = -3*u, 3*s = -s + 2*u + 6. Let y = 0 + 3. Suppose y*f - 1 = 2*f. Sort f, s, 5 in decreasing order.\nAnswer: 5, s, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 755 - 120 + 119 = 61*l for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 646 divide 58904218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2606156997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-3) - (650\/(-150) + 3\/3). Which is the closest to -24? (a) n (b) 13 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**3 + 8*v**2 - 4606*v**4 + 2291*v**4 + 2230*v**4 + 4*v**3 + 1 in the form u*v + t + a*v**4 + p*v**3 + f*v**2 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1003\/(-102) + 10)*(-6)\/(-4).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.5 (b) 1\/7 (c) 0.11 (d) -6\/5 (e) 0.1 (f) -28\/5 (g) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 6:41 AM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, -3, -11\/906, 4?\nAnswer: -11\/906","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 0, 0.3, -0.030215, -9\/5, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 10:54 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, 38, 1, 2\/3 in increasing order.\nAnswer: 0.02, 2\/3, 1, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2 = -2*z + 6, 3*h = 2*z + 20. Suppose -k = -h*k + 320. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32.8 times 5\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -28*c**2 + 1. Let y be p(-1). Let w be (-876)\/(-8)*(-15)\/y. Let u = -61 + w. Which is bigger: u or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 6 (b) 0.1 (c) 17 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 72, 32, -3, 4.\nAnswer: -3, -1, 4, 32, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -455, -932, -1423, -1934, -2471?\nAnswer: -3040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 53?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = -40*g, -10*i + 190*g = 188*g - 34 - 32 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**2 + 5796*p - 5797 = 0. What is p?\nAnswer: -5797, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 3*u - 12. Which is smaller: -12 or u?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220 (base 11) to base 5.\nAnswer: -2024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1713333807?\nAnswer: 3, 190370423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyk when three letters picked without replacement from {l: 2, k: 2, v: 3, y: 9, q: 1}?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18801898 divided by -3298.\nAnswer: -5701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d**4*k**2 + 30*d**3*k**3 + 1605*k**3 wrt d.\nAnswer: -4*d**3*k**2 + 90*d**2*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94, -249, -498, -889, -1470, -2289, -3394, -4833?\nAnswer: -6654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 413 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**2 - 322*y + 121364 - 121364.\nAnswer: 4*y**2 - 322*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5550 by 1110.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4953.21399 rounded to 1 dp?\nAnswer: 4953.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 491 = 3*k - 709. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*t + 7 + 22*t - 41*t + 4 + 3 to p + v*t and give p.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - t = 2*p + 1, -3*p + 7 = -t. Suppose 4*w + 2*o + 2*o = 32, 5*w - p*o = 54. Suppose -w*n + 19 = -21. Solve -v + 0 = n for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4\/19 + 6722*z**3\/19 + 708936*z**2\/19.\nAnswer: 2*z**2*(z + 109)*(z + 3252)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189 = 5*r + 3*m, r + 4*m - 2*m - 42 = 0. Let p = -59 - -35. Let a be p\/(-2) - (-2 + 2). Calculate the greatest common factor of a and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2809 is divided by 2691?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.2972388 to three dps.\nAnswer: -14.297","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -2.448 and -0.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.7 - -4.7. Let t = -2.9 + d. Suppose 0 = -3*x + p - 0*p + 7, 4*x = -3*p - 8. Which is the closest to t? (a) 0 (b) x (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89175.\nAnswer: 3, 5, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 12, 1\/8, 0, -0.4 in increasing order.\nAnswer: -7, -0.4, 0, 1\/8, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10831592957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7340062?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4*35\/(-30) - (-2)\/(-3). Suppose 38 = q - 4*o, v*q - 105 = -q + 3*o. Suppose 70 - q = 4*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 10633 + -10670.844. Let g = r + 38. What is g rounded to two dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of j**8\/56 - 4*j**7\/105 - j**6\/60 + j**5\/15 + 54*j**2. Determine b, given that i(b) = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41243 (base 6) in base 7?\nAnswer: 22014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -5*y + 10 - 2, v = y. Solve 4*t + 3*l = -t + 29, y*t = 2*l + 10 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217*y**3 - 373*y**2 - 5 - 6 + 70*y**3 + 74*y**3 + 71*y**3.\nAnswer: -2*y**3 - 373*y**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/1186 in 0.1, 3, 2\/65?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -dcc5d + -1a6?\nAnswer: -dd025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 28321187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -1\/12*r**4 + 0*r**3 + 0*r**5 + 1\/30*r**6 + 2 - r + 0*r**2. Let j(k) be the first derivative of d(k). What is p in j(p) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q - 23. Suppose g - 7*g = -90. Let m be y(g). Is m\/(1*4\/2084) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*t + 16*t = t - 207 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*b**3 + 15548*b**2 + 3*b + 65800 wrt b?\nAnswer: 6*b**2 + 31096*b + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 0*i - 25 = -i, 0 = -2*o + i + 5. Let a(p) = -48 + 26 - 17 + 32 + 7*p. Calculate a(o).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 7*v**2 + 6*v - 5. Let f be p(6). Let k = -2202 + 2207. Sort k, 1, f, -1 in decreasing order.\nAnswer: k, 1, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/9))**(-2\/119)\/((u**(2\/3)\/u)\/u**(-7)) assuming u is positive.\nAnswer: u**(-7144\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3085, -12329, -27727, -49273, -76961, -110785, -150739?\n\"Answer: z**3 - 3083*z**2 - 2*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 116 and 6699.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.963 + -6.103. Let s = -22 - -22.86. Let x = l - s. Which is the biggest value? (a) 2\/13 (b) x (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 24457361337198 and 2?\nAnswer: 24457361337196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 2)*(-2 + 2 - 1)*(-6 + 3 + 2)*(p**5 - 5*p**5 + 3*p**5).\nAnswer: 3*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -4*c**6\/15 + 5*c**5\/2 - 13*c**4\/3 + 5*c**3\/3 + 83*c + 108. Let t(r) be the first derivative of q(r). Solve t(y) = 0.\nAnswer: 0, 1\/4, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 != 62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -34*f - f - 5*f + f**5 + 35*f**4 - 6*f**5 + 100*f**2 - 90*f**3 = 0. What is f?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2555 - -2565. Let c be (-5 + -1)*(-2)\/4. Suppose 0 = c*q + 3 - 33. Calculate the greatest common factor of q and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -13. Factor -1\/2*c**x + 0 + 1\/2*c.\nAnswer: -c*(c - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12870\/1170*(-46)\/(-11)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.6 + 0.4. Let b = 3 + -4. Let t = v + b. Is 2 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 395, 408, 429, 464, 519?\nAnswer: 600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*z - 12 = 0, -5*b + 98 - 26 = -4*z. Let f be (4 + -1)*(-6)\/(-9). Factor -b*j**f + 14*j + 1 + 4*j**2 - 3.\nAnswer: -2*(j - 1)*(6*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 1. Let m(f) = -4 + 4 + 3*f - 2*f. Let l(t) = -5*b(t) - m(t). Give l(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11.986 + -0.536. Let j = 11.449999447 - b. What is j rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1417?\nAnswer: 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = j - 5*b, -b = 2*j + 3*j - 36. Suppose -2*z - 95 = -j*z. Does 7 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 472 - 311. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -220, 2, -1.\nAnswer: -220, -5, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 787 + -18105\/23. Which is greater: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/20*192\/(-36).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, v: 4, t: 4, s: 1, g: 3}. What is prob of picking 3 t?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11531228 to the power of 1\/3, to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2.933, 0.182 in decreasing order.\nAnswer: 2, 0.182, -2.933","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142 - 518 = -47*j. Let y be 6\/j - (-949)\/292. Calculate the highest common factor of y and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*w + 24*w - 45*w - 3*w**2 + 1 - 5*w**3 to b + p*w + h*w**3 + k*w**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -74 - -150. Suppose j = q + 5. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 17 (b) 50 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -298.1 + 298. Put -0.3, -3, l, 7 in descending order.\nAnswer: 7, l, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75737.5*-0.4.\nAnswer: -30295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((522\/1421)\/9*7)\/(608\/(-56))?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 33 = 3*t. Let z(n) = -3*n**3 + 2*n**2. Let f(m) = 4*m**3 - 3*m**2. Determine t*f(j) + 6*z(j).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -9) + (2 - 0) + -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 521314078 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*s = 41*s + 58*w - 58, -4*w = 2 - 6 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**4 - 3*n**4 + 2*n**4 + (-2*n**2 - 2*n**2 + 3*n**2)*(-2 - 2*n**2 + 2) - 2*n**4 + 4*n**4 + 0*n**4 - 6 + 2 + 3*n**4 - 1.\nAnswer: 8*n**4 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 171*l - 23492. Determine n(137).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -341 and -22.4.\nAnswer: 7638.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c. Let a(m) = 36*m + 705. Give h(a(p)).\nAnswer: 144*p + 2820","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 68 = -s. Let f = -18 - -35. Calculate the greatest common divisor of f and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 48 (b) -1\/4 (c) 0.3 (d) -4 (e) -0.06 (f) 13729\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 5*h. Let p(j) be the second derivative of 9*j**3\/2 + 6*j**2 - 1598*j - 3. Give p(y(n)).\nAnswer: 135*n + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -3*h - 15, l + 20 = -4*h - 0*l for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 4 + -5 - (-4 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -18*(-2 + -2)\/8. Let s(o) = 2*o**2 - 16*o - 9. Let z be s(d). Calculate the greatest common factor of z and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 w, and 1 j when three letters picked without replacement from xxwwmj?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(25\/6)*l**(10\/7)*(l*l**16\/l)\/(l**(11\/2)*l))**(4\/5) assuming l is positive.\nAnswer: l**(1268\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 16. Solve -l*q + 1 = -9*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ivi when three letters picked without replacement from {h: 2, u: 5, v: 4, m: 1, i: 2, s: 1}?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -37870643.08 to the nearest 1000000.\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49222.938 + 49153. Let s = o + 70. What is s rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3590 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1427 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: b\"What is the th term of -415, -411, -445, -547, -747, -1075, -1561?\n\"Answer: -5*b**3 + 11*b**2 + 6*b - 427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -7*w - 16. Let m be c(-16). Suppose m*s = 93*s + 3. Let v = 53\/168 - 4\/21. Is v < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/(sqrt(6) + 4*sqrt(6)*2) - -6*(sqrt(18) + 2*(sqrt(18) + -1)))**2.\nAnswer: -1304*sqrt(2) + 54434\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -28, -35, -42, -49, -56, -63?\n\"Answer: -7*v - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**3\/3 + 132127*t**2\/3 + 528472*t + 1585380 = 0.\nAnswer: -132115, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03663 - 0.1.\nAnswer: -0.06337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -27.5 and -8?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 16 - 23*r**2 - 1 - 7*r + 43*r**2 - r**3 - 27*r**2. Let s be v(-5). Is 6\/83 at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6211, -24993, -56363, -100321?\n\"Answer: -6294*j**2 + 100*j - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) - -2*sqrt(65)*4)\/(sqrt(90)\/sqrt(2)) + 2 + sqrt(156)\/(3*2*sqrt(12)).\nAnswer: 2 + 19*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -195.892 to the nearest 10.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 4*o + 52, -5*i + 4*o + 16 = -3*i. Suppose 4*t = 16 + i. What is the remainder when 18 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -877 + 872. Let s = 6 - 5.6. Sort h, 1\/3, s.\nAnswer: h, 1\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t - 5. Let b be k(0). What is the tens digit of ((-76)\/b - 4)*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.9 and 7944.\nAnswer: 7944.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 202274358*d**2*q**3 + 1048*d*q - 6858*q**3 wrt d.\nAnswer: 404548716*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of 1\/3*a**4 - 9*a**2 + 0 + 0*a + 0*a**3. Let x(j) = -2*j. What is q(x(l))?\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -36, 4\/205, -2\/5, 1\/27?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 116 + -67. Let s be (-2)\/9 - t\/(-18). What is the third smallest value in s, 2, 1\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156972 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -630254, 4, -1, 12 in decreasing order.\nAnswer: 12, 5, 4, -1, -630254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 97*k**5 + 5*k**4 + 6*k**3 + 18152*k wrt k?\nAnswer: 1940*k**3 + 60*k**2 + 36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 43 = -6*a + 2*a, 0 = -5*a - 4*n + 38. Let t(z) = -7*z + a - 3 - 6*z + 17*z - 8*z. Give t(8).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160774 is divided by 59.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/13)\/p**(-2\/9))**(-36)*(p\/p**(2\/7))\/p**2*(((p**0\/p)\/p)\/p)**32 assuming p is positive.\nAnswer: p**(-9077\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 4*w + 161, 1930814*s + 2*w + 79 = 1930813*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**2 + 5. Let i be (-18)\/(-2) - (-2 - 0). Let k = i + -6. Let o(q) = -3*q**2 - 8. What is k*o(l) + 8*t(l)?\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -700 (base 15) in base 7?\nAnswer: -4410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-254*o - 5*o**2 + 2 + 254*o)*(0 + 3 - 1).\nAnswer: -10*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1664 + 13?\nAnswer: -1651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 12 = -o. Suppose 3*i + 0*i - o = -3*r, 2*r + 5*i = 21. Suppose 2*p - 1 = 9. Solve 2*b + r*k = -4 - 10, -14 = p*b - 3*k for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*i - 42*i - 1032. Let c = i - 204. List the prime factors of c.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*q - 3*u - 21, -q + u + 3 = 0. Suppose -2*s - n = -3, 0 = 4*s - 4*n + 4 + q. Round s to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231.457 rounded to zero dps?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 373659 is divided by 696?\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two ninths of a day?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**3 + 4*k**3 - 4*k**3)*(2*k - 3*k + 3*k) + 207*k**4 + 16*k**4 - 78*k**3 + 75*k**3.\nAnswer: 221*k**4 - 3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -133 + -179. Are j and -310 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, -5, -20, -41?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-4\/3)*z)**(-18\/13)\/(z**(-12)*z\/(z*z*z\/(z*z**(-4\/5))*z*z)*z) assuming z is positive.\nAnswer: z**(902\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 + 16. What is the closest to -0.3 in -3, 4, r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 12.21.\nAnswer: 14.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u - u - 1 - 4*u**4. Let q(d) = -d + 1. Let s be q(7). Let p(x) = -3*x**4 - 1. Let g(l) = s*p(l) + 5*i(l). Differentiate g(t) with respect to t.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**2 + 2*w - 1. Let x be l(1). Let c be 40 + (-6)\/3*x. What is the greatest common factor of 6 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 2, a: 11}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**2 - 4*j. Suppose 33*u = 39*u - 18. Suppose -i - 2 = u*m - 11, 5*m = -5*i + 25. Determine z(i).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 132\/1617*429\/572.\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19597 + 117545\/6. Find the common denominator of f and -55\/10704.\nAnswer: 10704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21054 + 25962. Calculate the greatest common factor of x and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 444 (base 5) to base 3\nAnswer: 11121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4067 and 5.\nAnswer: 20335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 8 (b) -1\/35 (c) 0.01 (d) 5 (e) -3\/4 (f) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (16*390\/13104)\/(-6*2\/(-21))\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(7) - -1*sqrt(7)*6) - (-4 + sqrt(112) + 2*sqrt(7)*6).\nAnswer: -37*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d + 79. Let m be o(-26). Let t be ((-60)\/24 - -4)*(-1 - m). Put -1, t, -50 in increasing order.\nAnswer: -50, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -60, -282, -652, -1170, -1836?\n\"Answer: -74*v**2 + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(3000)*-1)\/(6*(sqrt(6) - 5*sqrt(96))).\nAnswer: -5*sqrt(5)\/57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155499 is divided by 299?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2823 + (-5)\/((-15)\/6). Calculate the greatest common factor of p and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 5 + 7. Let b(j) = -4*j + 0*j + 2*j - 6. Let v(a) = a + 1. Let s(p) = -b(p) - 3*v(p). Give s(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, r: 2, w: 1, x: 2, d: 1}. What is prob of picking 1 r and 1 w?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, k: 2}. What is prob of sequence aa?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*b - 40*b - 102 = 0. Is 26 at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -2*n - 24. Let w = 568 + -544. Calculate the greatest common divisor of w and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -8*f. Let s(b) = -8. Let h(r) = -6*r - 11. Let c(q) = h(q) - 2*s(q). Give w(c(v)).\nAnswer: 48*v - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**2 + 4. Let g be j(3). What is the biggest value in -1, -5, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 659726 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 14. Suppose -22 = -p - 9*l + d*l, 5*p + 4*l = 194. Calculate the highest common divisor of p and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -939955360 divided by 4?\nAnswer: -234988840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1107 from 0.5533237.\nAnswer: 0.6640237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 6*v + 18. Let z(h) = -6*h - 62. Let a(t) = t - 6. Let s(w) = -5*a(w) + z(w). Let d(j) = 5*b(j) + 3*s(j). Let l be -7 - 0 - (0 - 0). Give d(l).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xsgju. Give prob of sequence ugxx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/93 (b) 0.5 (c) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 92624.84kg?\nAnswer: 92.62484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1832207, -3664701, -5497193, -7329683, -9162171?\nAnswer: -10994657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -7*q + 25*q - 13*q. Let b(r) = -2. Let z(l) = l - 3. Let f(c) = 6*b(c) - 4*z(c). Determine f(w(d)).\nAnswer: -20*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u + 8 = 16*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1317*p + 1353*p - 4 + 3 - 5*p + 2*p + p + (-5*p + 3*p + 0*p)*(3 - 2 + 1).\nAnswer: 30*p - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2321.\nAnswer: 11, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*b - 8*b - b + 81 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 9*j - 3. Let o be d(-3). List the prime factors of o\/(-2 + -1) + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**2 + 6*b + 10. Is 9 a factor of t(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from mvoqpovolmplmv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssstsuusffvttfuutft. What is prob of sequence stut?\nAnswer: 25\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 465, 1314, 2721, 4680, 7185, 10230, 13809?\n\"Answer: -q**3 + 285*q**2 + q + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**2. Suppose -1 = j + 2. Let s = j + 2. Let b be s*-2*3\/6. Determine i(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 4) to base 8\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120056 + 174065 = 4112*l - 35182 - 210985 for l.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = y + m - 3*m, 4*y - 3*m = 12. Let h be 16\/y - (-32)\/(-48). Let h*n**3 + 7*n - 3 + 3*n**2 + n**3 - 4*n - 6*n**3 = 0. What is n?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 18*i - 69. Calculate the remainder when x(6) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) -3 (c) -5\/2 (d) -255\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 142, 240, 334, 424?\nAnswer: 510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 8*h + 13. What are the prime factors of d(6)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00603 to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1144793 to the nearest integer?\nAnswer: 1070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -0*o + 2*o - 106, 2*c = 6*c - 0*c + o - 29 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (-31 + (28 - 13)). Solve 9 - 93 = c*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a - 6. Let l be z(-8). Find the second derivative of 3*c + 4*c - c**5 - l*c - 3*c**5 wrt c.\nAnswer: -80*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3397 - 3340. What is the third smallest value in 9, -4, -3, x?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(475) - (sqrt(475) - (-2 + sqrt(475)))).\nAnswer: -4 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 7, -3, 0, -35 in descending order.\nAnswer: 7, 5, 0, -3, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -12441 (base 5) in base 9?\nAnswer: -1326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qn when two letters picked without replacement from {n: 5, q: 2}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/((11\/(-3))\/(1210\/(-330))).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 501299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16272022 is divided by 280552.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.320073 - 0.32. Round p to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -730, -1465, -2200, -2935?\nAnswer: -3670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -628*b**4 - 2*b**3 - b**2 - 7502*b?\nAnswer: -7536*b**2 - 12*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifty-two fifths of a meter?\nAnswer: 1040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67 + (1 - 4) + 1 - (-40 + 101 + -52).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a week in hours?\nAnswer: 2604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 - -24. Suppose -v*f + 3 = -3. Solve 2*c = c + f for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -5 + 13. Let n(i) = i**2 + 11*i - 6. Let h be n(-6). Let v = -26 - h. Solve -3*a = -5*a + t - x, -4*a - v = t for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 3 = o. Let w = -245 - -254. Find the first derivative of -60 - 3*p**2 + 40 + w*p**o + 10*p**2 wrt p.\nAnswer: 32*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -143*a*u + 446873462*a + 599285*u wrt u.\nAnswer: -143*a + 599285","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x. Let f(g) = -8*g. Give f(d) - 3*q(d).\nAnswer: -11*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -301 + 253*b**4 - 298 + 599 - 486*b**2 wrt b.\nAnswer: 6072*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -22226a45 + -5?\nAnswer: -22226a4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 195401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 5*n - 10 = -3*s, 0 = -2*n + 2*s for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23917 + -23911. Solve -4*j = -5*w + 30, 9*j - d*j + 23 = 4*w for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z - 144*z**3 - z**2 - 4862 - z + 10385 - 5523.\nAnswer: -144*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*((-32)\/4)\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 2:32 PM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s - 19. Let b be c(-15). Let l be (1 + 2 - b) + 0. What is the greatest common divisor of l and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/2890 and 97\/340.\nAnswer: 5780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 131.\nAnswer: 3\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*m - 10*m - m - 1 - 7 to f*m + r and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -366*r - 26. Let f be k(-9). What is the greatest common factor of 76 and f?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8270538433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/3 - 11344053*q**2 - 96515670866184*q - 289546910502084.\nAnswer: -(q + 3)*(q + 17016078)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -7*q**3 - 2*q**2 + 8*q + 3. Let r be g(3). Let c = r - -962. Does 17 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 1:10 PM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -50 + 11*x + 50 + 6*x + 5*x - 2*x + 0 + 2*x + 0 + (4 + 3 - 5)*(0*x - 4*x + x).\nAnswer: 16*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 76051759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lnz when three letters picked without replacement from nnnnnnnnnnlnnnznnnn.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -56030436 divided by 308\nAnswer: -181917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.951 to one dp.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 44618651 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**3 - 4*k**3 + 2*k**3)*(2 + 4 - 3)*(-1 + 1 - 2*k).\nAnswer: 6*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*c**3*p**3 - c**3*p + 95565*c*p**5 - 4282291*p**2 wrt p?\nAnswer: 96*c**3 + 5733900*c*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Is 222373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5 + 4.8. Let d = q - 4. Which is the smallest value? (a) d (b) -0.3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**3 - 16*r**2 - 3*r - 26. Let w be f(-8). Put w, -8, -5 in ascending order.\nAnswer: -8, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1221193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 0) + 4 - (8 + 1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -182*a + 138*a - 484 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2790 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 21*r + 312 = 22*r, -4*d = -3*r - 1276. Let c(u) = -u**2 + 8*u - 2. Calculate the least common multiple of d and c(6).\nAnswer: 1580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173666 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1))**(2\/173)\/(k\/k**(2\/7)*k)**(-30\/7))**(-11) assuming k is positive.\nAnswer: k**(-684002\/8477)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -10*y**2 + y. Let c(f) = f**2 - 5*f. Let i(o) = -2*o**2 + 8*o. Let b(x) = -8*c(x) - 5*i(x). Determine b(h(g)).\nAnswer: 200*g**4 - 40*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -0.5 (b) 0.2 (c) 7 (d) -1\/15 (e) 366\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.3, -0.53492, 0.094?\nAnswer: -0.53492","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.39232 days in microseconds?\nAnswer: 7809896448000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -105 - 4473360.03?\nAnswer: -4473465.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 - 36\/(-9 - 0). Let j(k) be the third derivative of 0 + 0*k + 1\/2*k**3 + y*k**4 - 3*k**2 - 1\/20*k**5. Find the first derivative of j(u) wrt u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 32340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -443 greater than or equal to 3524.59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*u = 3*o + 33, u = 5*o + 19. Let h(w) be the third derivative of -w**6\/120 - 7*w**5\/60 - w**4\/12 - w**3\/3 - 2*w**2 - 3491. Calculate h(u).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11787*r**3 - 11769*r**3 - 11762*r**3 + 35320*r**3.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 6*t - 15. Let n be m(2). Which is the closest to 1? (a) n (b) -0.03 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-310)\/(-1085) - 1112\/(-28)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 463637 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*a + 2*a. Suppose 2*l - w = 0, 4*l - a*w + 0*w = -4. Is 149*(l - (-1)\/(-1)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 20.731229889223?\nAnswer: 23.731229889223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vovvvvov. What is prob of picking 2 v?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14*j - 78 - 2*j + 79 wrt j.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 1610892900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27472 - -43761. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - l - 3*l + 44 = 0, 4*l + 20 = 4*a. Let j be (152\/a)\/(1*-1). Let g be -100*(j + (-9)\/3). Round g to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 14*c = -6 + 15, 0 = -x - 5*c - 6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -b**2\/2 + b + 3. Let u be z(0). Let x be (-6)\/15 - 8\/(-20). Is u bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j + 13*j = -645. Let a(x) = x**3 + 10*x**2 - 12*x - 3. Let f be a(-11). Is (-6)\/f - j\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3887989*q**3*y + 6*q**2 - 3*q*y + 1409*y wrt q.\nAnswer: -23327934*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1 - 18)*912\/14)\/(2374\/(-124635))?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 617154 is divided by 43904.\nAnswer: 2498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -530 (base 6) in base 13?\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bt when two letters picked without replacement from utbuiirritbcrbu.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -2 + -3 + (26 - (26 - 15)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.137 - -0.334. Let x = z + 0.023. Let d = x + -0.220042. What is d rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1052554.\nAnswer: 2, 43, 12239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8446831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 408 = 27*l - 3*y, 19*l - 32 = -19*l + 36*l + 2*y for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -62691.2783 - -5.\nAnswer: -62686.2783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((1*sqrt(360)*-5)\/(sqrt(10) + 2*sqrt(90)))\/(((sqrt(132) + sqrt(132) + 1*sqrt(132) + sqrt(132) + sqrt(132))*-3)\/(sqrt(539)*-1)).\nAnswer: -sqrt(3)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/15 + (-11 - (-19 - -8)). Which is the closest to -1? (a) 2\/9 (b) -18 (c) -3 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -10. Let i be (-6 - -5) + (-11)\/f. Is i at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w + 7. Suppose 0 = 5*v - 25. Let y be m(v). Let n(g) = 4*g - g**y - 2*g + 0*g + 0*g. Calculate n(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*r - 66840 = 22*r + 868468. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from {p: 1, y: 7, f: 3, w: 1}?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1280.451 take away 7487?\nAnswer: -6206.549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c = -115*c + 318. Solve 6*p - c*p + 5*m = -26, 4*m = -16 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 m when three letters picked without replacement from {f: 9, o: 1, m: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.008 + -0.092. Which is the second biggest value? (a) 0 (b) -2\/9 (c) 2 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*l + 3798 = 0, -13*b - 5*l = -17*b + 7599. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - m + 0)*(-2 + 6 - 2) - 3*m + 3*m - 2*m + m - 2*m + 2*m + (3*m - 2*m - 2*m)*(2 - 1 + 0) - m + 4 - 4)*(1 - 1 - 3*m**2).\nAnswer: 15*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 4*x + 4. Let t be 66\/6*1*3. Let g = -23 + t. What is the remainder when c(6) is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 3*n + 4. Does 13 divide (-48)\/(-2) + (4 - n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -6*t**2 - 9*t - 3*t + 0*t**2 - 7 + 0*t. Let v(o) = 7*o**2 + 13*o + 8. Let c(l) = -6*j(l) - 5*v(l). Determine c(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -566660049, -566660048, -566660047?\nAnswer: -566660046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x + 278 + 46 - 320 - 22*x.\nAnswer: -30*x + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 3:15 AM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**2 - 2*p**3 - 5455123565*p - 2*p**2 + 5455123565*p.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 3*s + 4*s**4)*(7*s + 6 - 6).\nAnswer: 28*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -8*q**2 + 0*q - 1\/102*q**4 + 0*q**3 + 0 - 1\/170*q**5. Factor v(g).\nAnswer: -2*g*(3*g + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**3))**39\/((z**7*z)\/z**0))**(-2) assuming z is positive.\nAnswer: z**250","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8, -2\/25, 32, 2, -1.29?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7275 a factor of 3256500975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 193 and 8.\nAnswer: 1544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a tonne in kilograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-1 + (-45)\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 62.8\nAnswer: 50.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18.47 + -6.32. Let r = -11.72 - 0.28. Let a = o + r. Put -3, 0.5, a in descending order.\nAnswer: 0.5, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 12:13 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 12:22 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -6*c**2 - 2*c. Let v(f) = f + 6. Let r(t) = -3*t - 4. Let d(o) = -3*r(o) - 2*v(o). Give h(d(n)).\nAnswer: -294*n**2 - 14*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3231 (base 6) to base 9.\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12771 (base 9) in base 8?\nAnswer: 20712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19*l*r**2 - 3*l*r - 655*l wrt r?\nAnswer: -38*l*r - 3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 115 = 3*m - 2*p, 5*m = -2*p - 197. Let l = m + 60. Is l a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -302, 1, 216501, -4 in descending order.\nAnswer: 216501, 1, -4, -302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 9*q = 13. Solve -5*o = -12 - q for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 777*p - 3949*p**2 + 1 - 5294*p**2 - 779*p + 344*p**2 + 0.\nAnswer: -8899*p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 2*w - 3. Let n be l(2). Let u be (-2 + 3)*n\/(-1). Let j = u + 0. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91a125 (base 12) to base 13.\nAnswer: 61994c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2088598753 to the nearest integer?\nAnswer: 45701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2070909*i**3*l**3 + 2*i**2*l**3 - 11*i**2*l - 75*i*l**3 - 7*l wrt i?\nAnswer: -12425454*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/4 + 3 + 1. Suppose 2*d - 335 = -a*d. Calculate the remainder when d is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -5*v**4\/3 + 65*v**3\/6 - 15*v**2\/2 - 48*v + 2. Factor r(l).\nAnswer: -5*(l - 3)*(4*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4*(sqrt(70) - sqrt(70)*2)*4)\/(-2*sqrt(160)*-4).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v. Let a(q) = 167*q. Determine c(a(f)).\nAnswer: -167*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 20, 57 - 26 = -3*y - 5*g. Let p be (4\/(-85 - -5))\/(y\/8). Solve 2\/5*k - p - 1\/5*k**2 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -50*y - 1. Is t(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, 2.8, -0.1996, 1\/3 in increasing order.\nAnswer: -0.1996, 1\/9, 1\/3, 2.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 125249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 2*d**2 - 5. Let g(l) = 8*l**3 + 17*l**2 - 41. Let z = -20 - -36. Suppose 5*y - z = -46. Let p(q) = y*g(q) + 51*u(q). Differentiate p(c) wrt c.\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/11, -2\/15, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19363671451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k + 1. Let x be (-50)\/(-25)*(-2 - 0). Let z(u) = -u + 1. What is x*z(f) + 4*h(f)?\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3314 - 28?\nAnswer: 32db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -7*o**2 - 2*o - 2. Let q(t) = 22*t**2 + 7*t + 7. Give -2*q(p) - 7*s(p).\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-2 + -2 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n + 9. Let v be t(-9). Suppose 0*j + 4*j - 180 = v. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/(-20)*70\/7.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8618227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/4 + (-1)\/2. Let z be (26\/t)\/(8\/(-32)). Calculate the greatest common divisor of z and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3214 (base 6) to base 3\nAnswer: 1000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35887 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 460636.\nAnswer: 2, 11, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2 + 151*x + 2531. What is j(-67)?\nAnswer: 1392","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 9, n: 9}. What is prob of sequence gnnn?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -20104 (base 6) to base 12\nAnswer: -1634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 54.48954 minutes?\nAnswer: 0.908159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20172, -20215, -20256, -20295, -20332, -20367, -20400?\nAnswer: -20431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3*sqrt(132)*-1 + sqrt(132))\/(-1*2*sqrt(12)).\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1001 (base 2) to base 11\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 3*n + 214, s + n + 2*n - 116 = 0. Does 5 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 101 + -186. Which is the third smallest value? (a) -0.1 (b) 3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (-46 - -8) - 22.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 - 50 - ((-7 - 4) + 3).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 3*u - 2*a + 6, 5*u = 5*a - 10. What is the tens digit of (88\/(-5))\/(u\/25 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 412*k**3 + 12*k**2 + 48*k + 43. Let m be s(-2). Which is bigger: 1\/2 or m?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13575)\/(-108600))\/((-8)\/6*3\/48)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -352*v**4 - 95*v - 96*v - 5*v**2 + 370*v**4 - 12*v**4 to the form q*v**3 + t + x*v + f*v**4 + j*v**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 4*c**2 + 4*c + 3. Let j be x(-2). Suppose j*z = 8 - 2. Suppose -5*v**z + 3*v**2 + 3*v**2 - 2*v = 0. What is v?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of s**3 + 3*s**2\/2 - 4*s - 7. Let n = 182 + -188. What is a(n)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-32)*(-10)\/(-60)*6. Is 95 greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 23*o**2 - 91*o + 24. Give u(6).\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1164 divided by 6.\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -93*x**2 + 88*x + 7. Let a(w) = -139*w**2 + 133*w + 10. What is -9*a(r) + 13*u(r)?\nAnswer: 42*r**2 - 53*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 1 = -h. Let q be ((-64)\/666)\/((-110)\/(-2310)) + (-2)\/(-1). Is q equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 5) to base 6\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((4\/12)\/(6\/(-36)))\/((-6)\/15). Solve 7*v + 26 = 4*f + 5*v, 45 = 5*f - x*v for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/18 + (-8)\/(-18))*(-71 - 13333\/(-134)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8670, 15053, 21420, 27765, 34082?\n\"Answer: -i**3 - 2*i**2 + 6396*i + 2277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 79378.1 to the nearest one hundred.\nAnswer: 79400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -141, -196, -205, -174, -109, -16?\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -7. Let b(h) = h**3 - 6*h**2 + h - 6. Let z be b(6). Suppose 67 = 2*f + a*p + 1, z = p. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51061070 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8043.556 millilitres to litres.\nAnswer: 8.043556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122303354 is divided by 2183988?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 20*p + 0*p)*(4*p + 3*p - 4*p) + 2*p**2 - 5*p**2 + 5*p**2 - 3*p**2 + 2*p**2 - p**2 - 4 + 4 - p**2 + (p + 3*p - 2*p)*(-2*p - 4 + 4).\nAnswer: 55*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -17 + 13 + 5 + 1. Suppose -n = -0*n. Suppose n*y = p*y - 60. Is y a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -1055*p**3 - p**2 - p. Is h(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 82 - 72. Solve 3*b + u = 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 104*k - 590. What is the remainder when 72 is divided by i(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7062)\/15 + (-36)\/(-45). What is y rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + -3)*(-15 + 6). What is the remainder when 17 is divided by (3\/(-15))\/(8\/(-20))*q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 16*g**2 - 391*g - 1388. Calculate m(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 189.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 + 11. Let f(v) = v**2 - 4*v - 16. What is the tens digit of f(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*v - 74*v = 15, -2 = 5*k + v for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 75*m**3 - 66*m - 2 wrt m?\nAnswer: 450*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 5*u + 16 + 1, 0 = -2*h - 3*u + 18. Let x(k) = -90*k. Let m(l) = 13*l. Let f be 12\/15*(-108 - -133). Give f*m(y) + h*x(y).\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1))**(25\/2)\/(g**(3\/2)\/(g\/g**(-6))) assuming g is positive.\nAnswer: g**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 464*s**3 - 17 - 462*s**3 + 17.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u*u\/u**23))\/(u\/(u**(-7\/2)*u)) assuming u is positive.\nAnswer: u**(39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.6 and -6293.\nAnswer: 3775.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - 2*t + 6. Let h be y(3). Solve 0 = -2*a + 1 + h for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -5, -0.078585, 4, 0.4 in descending order.\nAnswer: 4, 0.4, 0.1, -0.078585, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8650\/11 - 33687\/44. Let h = 28151\/1218 + -566\/29. Find the common denominator of s and h.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88626*u**2 - 14878*u**2 - 292842*u**2.\nAnswer: -396346*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 170 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8442068*b**3 - 22084*b**2 + 590?\nAnswer: -50652408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41 + -26. Let t(y) = y**2 - 13*y - 27. Let x be t(g). Suppose n - 414 = -2*a, -123 = -a + x*n + 70. Calculate the highest common factor of 41 and a.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -31\/6, -75, -0.4 in decreasing order.\nAnswer: 0.1, -0.4, -31\/6, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4646 + 8022 + 4557 - 1150)*(-2*p + 0 + 0).\nAnswer: -32150*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3 - 6052016*v**2 + 9156730468077*v - 18313436728098.\nAnswer: (v - 3026007)**2*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4 + 9*t**3 - 26*t**2 + 24*t.\nAnswer: -t*(t - 4)*(t - 3)*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 67*m**3 + 6*m**2 + 6*m + 6. Let n(g) = 133*g**3 + 13*g**2 + 13*g + 13. Determine 13*d(y) - 6*n(y).\nAnswer: 73*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/340?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1154 is divided by 366.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (28\/(-7) - -8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 1 + (4 - 2). Suppose 0 = -k*w + 7*w + 104. Let j = w - -40. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18862.\nAnswer: 2, 9431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*i - 80*i + x = 16, -x + 10 = 2*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i + 2. Let p be h(0). What is the common denominator of p - 1\/14 - -2 and 23\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -8. Let y be ((-4)\/5)\/(2\/(-5)). Suppose 12 = 2*k - 4*w, k - 18 = y*k + 4*w. Sort -5, k, m in descending order.\nAnswer: m, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1820172444 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1 + ((-6*sqrt(950))\/sqrt(2))**2.\nAnswer: 17103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of f**3 + 33*f**2\/2 + 9*f + 125. Let v be q(-11). Factor 27\/2 + 3\/2*b**2 + v*b.\nAnswer: 3*(b + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*l**2 - 3*l**2 - l**4)*(-2 - 1 + 4)*(-16 - 2 + 3) to z*l**4 + k*l + u*l**3 + n + w*l**2 and give z.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*c = -m + 17*c + 17, 56 = 4*m + 5*c. Solve 64*z = 73*z + m for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -14*h + 115. Let s be a(9). Let y(q) = -q**3 + 5*q**2 + 5*q - 5. Let g be y(6). Do s and g have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37\/5 + 116\/15. Let l = 0.044 - 0.074. What is the second smallest value in l, 0.5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -798709974*q**2 + 172460*q + 281 wrt q?\nAnswer: -1597419948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 51\/30 + 6\/(-30). Let q be (-2)\/(-3)*3\/35. Let c = q - -8\/35. Sort b, c, -0.3 in decreasing order.\nAnswer: b, c, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7038 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/1*198\/(-1815). Let z = -11.9 + 11.4. Is n at most z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 1:15 AM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = -4*q + 3*v + 778, 0 = 2*v + 10. Suppose n - 2344 = -n. Suppose 4*x - n = q. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*h - 42*h - 30*h.\nAnswer: -16*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11\/56 in 365\/9, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 7. What is the remainder when 10 is divided by l\/(-5) - (-87)\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 2085.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3 + sqrt(7) + 0).\nAnswer: -15 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 22 - 1 - 3\/(-1). Suppose -12*i = -4*i + o. Which is bigger: -40\/9 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 233558 to the nearest integer?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 5:18 AM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.7929 - -0.7929. Sort 0.3, -4\/11, -4, r.\nAnswer: -4, r, -4\/11, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 34 (b) 13082 (c) -406\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 811 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3927 divided by 561\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 * 954.\nAnswer: 19.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*h + 723 = -3700, b - 3*h = 4438. Calculate the highest common divisor of b and 215.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*r**5 + 25638*r**4 - 3258525*r**3 + 161501010*r**2 - 2744579052*r - 131060808 = 0 for r.\nAnswer: -1\/21, 46, 93, 222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3287\/8 + 411. Which is the third smallest value? (a) z (b) -5 (c) 5 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 4*i**2 - 29*i + 242. Let z be l(-9). Calculate the greatest common factor of z and 134.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) + 4*sqrt(1216)*-5 + sqrt(1216))**2.\nAnswer: 393984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2296*y + 581. Give v(0).\nAnswer: 581","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7334*v**4 - 7*v**3 - 90*v**2 + 9675227?\nAnswer: 29336*v**3 - 21*v**2 - 180*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 548 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 2289977.39 to the nearest 100.\nAnswer: 2290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*m + 33 = 8*m. Which is the second biggest value? (a) m (b) 2\/13 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -51025, -51035, -51039, -51025, -50981, -50895, -50755, -50549?\n\"Answer: 2*w**3 - 9*w**2 + 3*w - 51021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 9*w + 142. Determine h(-15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 74624051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -81 - 35*o + 81 in the form m + w*o and give w.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tuve when four letters picked without replacement from {k: 1, q: 1, t: 2, e: 1, u: 1, v: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 7058311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -736939 in descending order.\nAnswer: 3, 2, -736939","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -79146216 by 10.\nAnswer: -39573108\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/7 + 262*z\/7 + 254232\/7.\nAnswer: -2*(z - 428)*(z + 297)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 183*c - 9084. Give f(52).\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 185716.672 to the nearest one hundred.\nAnswer: 185700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 13, -31, -93, -173?\nAnswer: -271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*f - 1026 = 4*d + 48*f, -4*f = d + 251. Let h = d + 1661\/6. Calculate the common denominator of 19\/192 and h.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2. Let s(o) = 2*o + 307 - 313 - 275. Give s(b(g)).\nAnswer: 4*g**2 - 281","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*f - 20 - 10 = 5*g, 3*g - 7 = -4*g + 12*g + 23 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 12:53 PM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -5132500 to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 406 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*10\/(-75)*-5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7602 - -3.5.\nAnswer: -7598.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j - 3*i - 26, -2*i - 7 - 3 = -0*i for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43 + 221 + 22 - 4*g - 34 to the form o*g + c and give c.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -f**2\/2 - 66. Let z(b) = 8*b. What is z(a(i))?\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - 10. Suppose -d*u - 887085 - 42915 = 0. Round u to the nearest ten thousand.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1845758966 to the power of 1\/3, to the nearest integer?\nAnswer: 1227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 45\/15 + 1*3. What is the third derivative of -f**4 + f**4 - 8*f**2 + 34*f**d - 30*f**6 wrt f?\nAnswer: 480*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3 - j - j**2 + 0*j**2 - 5*j. Suppose 0 = s - 2*t - 2, 3*t = 3*s - 9. Let p(g) = -s + 5 - 2*g + g. Give -d(c) + 4*p(c).\nAnswer: c**2 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13\/5 of a decade?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3267107 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: Divide -44093096 by 7.\nAnswer: -44093096\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three tenths of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5909*n + 7784 = 6048*n for n.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 45*a**2 - 4*a - 5. Calculate r(-1).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 10:16 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 8:10 PM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 4*g**2 + 14*g + 3. Let a be (16\/(-20) - 0)*-5. Let u be ((-140)\/8)\/(-7)*a. Is s(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3506001, 7012006, 10518011, 14024016, 17530021, 21036026?\nAnswer: 24542031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 18. Let d(r) = r**2 - 3*r - 2. Let i be d(-3). Solve o = 3*v + i - a, -17 = -3*o + v for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 1\/4 (c) -1319\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 3 + 2 + 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -89.42 - -120.8. Let p = 35.9 - l. What is p rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -98253 not equal to -96377?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k**2 + k + 15*k**2 - 9*k + 7*k. Calculate z(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -6*m. Let y(j) = -23638909*j**2. Calculate q(y(h)).\nAnswer: 141833454*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 35*h**3 + 52*h**2\/3 + 4*h\/3 = 0.\nAnswer: -2\/5, -2\/21, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - t. Let r(c) = 18*c**2 - 7*c + 1. What is 3*n(m) - r(m)?\nAnswer: -15*m**2 + 4*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -824 equal to -823?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1)*(8*m - m + 0*m)*(-2*m**3 + 2*m**3 + m**3).\nAnswer: -14*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 2:55 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 36805, 37233, 37941, 38923, 40173, 41685, 43453?\n\"Answer: -f**3 + 146*f**2 - 3*f + 36663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, 9, 56, 133, 246?\nAnswer: 401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*l + 70*l = 0. Suppose l = -z - 4*v - 1 + 9, -3*v = 2*z - 31. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 t when two letters picked without replacement from trttltttu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35540, -61697, -87854, -114011?\nAnswer: -140168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/1*1)\/(100\/(-520)*2)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 345379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25979080?\nAnswer: 2, 5, 19, 34183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32590908 by -1.\nAnswer: -32590908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-77)\/22 - 217\/(-62). Put -29, -4, x in ascending order.\nAnswer: -29, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -19. Which is the closest to 2? (a) 2\/11 (b) q (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01882346 and -3.\nAnswer: -0.05647038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1)*y**(3\/8)*y)**(-7) assuming y is positive.\nAnswer: y**(-21\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 422008300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 169 - 28. Find the third derivative of -131*m**2 + m - m - m**4 + z*m**2 wrt m.\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4003800?\nAnswer: 2, 3, 5, 6673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 124 - 3 - 14*v + v**2 - 67. Let p be t(8). Suppose 5*b = -5*l + 210, 3*b + 39 + 45 = 2*l. Calculate the greatest common divisor of p and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/5, 4, 5, -0.039?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 6 = -3*m - 45, -3*k - 408 + 399 = 0 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -34814.452\nAnswer: -34814.452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 96.84725 decades?\nAnswer: 9.684725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 894.894 rounded to the nearest 10?\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -424*y - 7326. Calculate x(-17).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4359793464 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 69 + 178*c - 17 - 54 + (0 - 2*c + 0)*(-3 - 1 + 3).\nAnswer: 180*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1011 - -21023?\nAnswer: 22100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 1, -12, -4 in increasing order.\nAnswer: -12, -4, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2*-1)\/(2*(-5)\/130). Factor -15*j - 5*j**3 - 478 - 11*j**2 + 483 + t*j**2.\nAnswer: -5*(j - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 10:13 PM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 6*s**2 - 4*s - 3. Suppose 3 = -8*k - 13. Is p(k) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(38)\/sqrt(2) + -3)*-2.\nAnswer: -4*sqrt(19) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaafzfaaazzayaaeqaaf. What is prob of sequence qa?\nAnswer: 11\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = r + r. Let d(k) = -3*k**2 + 2*k + 1. Let q(j) be the first derivative of 4*j**3\/3 - 3*j**2\/2 - 2*j + 1. Calculate r*d(p) - 2*q(p).\nAnswer: p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of 19*l**7\/14 + 5*l**6\/6 + 33*l**3 - 1647*l. What is the second derivative of r(k) wrt k?\nAnswer: 1140*k**3 + 300*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11\/39 - -5\/13. Let x = 0 + -1. Which is the biggest value? (a) -3 (b) s (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 639 by -18.\nAnswer: -71\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 270 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13147792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**5\/4 - 606*g**4 - 392331*g**3\/4 + 19528623*g**2\/2 - 223538049*g + 1011690162 = 0. What is g?\nAnswer: -441, 6, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31764 is divided by 159?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**14*z**(-3\/8))**(19\/2) assuming z is positive.\nAnswer: z**(2071\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of w**4\/12 - 2*w**3 - 45*w**2\/2 + w - 6. Let m be y(15). Solve 0 = -m*d + d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y - 1 = -8 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 6.8. Let a = -29.8 + 29.9. Let l = -0.9 + -3.1. What is the closest to -0.2 in a, l, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**2. Let w(z) = -3*z**2 + 2*z - 2. Let v be ((-4)\/6)\/((-11)\/33). Let o(d) = d**2 + d - 1. Let n(r) = v*o(r) - w(r). What is u(n(t))?\nAnswer: -50*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*o - 5349 - 9679. Let m = 1365 - o. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 250*c + 640. Let k(r) = -31*r - 80. Calculate 31*k(u) + 4*l(u).\nAnswer: 39*u + 80","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/225)\/(6\/(-45))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 876055 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -c + 4*i, -3*i + 17 = 2. What is the remainder when c is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 30*m**3 + m**2 - 2*m + 2. Calculate i(1).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -1941*z + 1942*z - 6, 2 = 3*m + z for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3157*b + 21. Let j(y) = -6316*y + 50. What is -7*i(z) + 3*j(z)?\nAnswer: 3151*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2295338738, 2295338737, 2295338736?\n\"Answer: -d + 2295338739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*w - 7 = 0, 3*i + 5*w = -i + 6. Let t = 17975 - 18000. What is the second smallest value in 0.5, i, t, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 4*t + 2 + 4)*(2 + 3 + 3)*(3*t - 6*t + t).\nAnswer: 64*t**2 - 32*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3 + 5*a + 4 + 8*a. Let c = -508 - -501. Let j(t) = -4*t - 2. Give c*j(p) - 2*m(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a + dd?\nAnswer: d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -26*m + 408. Give b(14).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 421.848 + -421.7990042. Let j = -0.049 + y. What is j rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*r**3 - 6*r**2 - 117\/2*r - 81.\nAnswer: 3*(r - 9)*(r + 2)*(r + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -588\/5 - -14137\/120. Let r(t) be the third derivative of 0*t - f*t**4 + 0 + 0*t**3 - 2*t**2 - 1\/30*t**5. What is the second derivative of r(s) wrt s?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2367?\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/9)\/((-2)\/12). Let x be (-6)\/(-4)*4\/z. Let d be 5 + (-9)\/(-3) - x. Solve -3*p = 4*s - 20 + 7, -15 = -d*p for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-753)\/6)\/((-5)\/10) - 3. Let k = 250 - o. Solve 0*t - 3*t = 5*n - 8, -k*t + 5*n = 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1708170 divided by 284695?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 905 - 703. Which is greater: -2\/7 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 - 1 + 1)*(-l - 3*l + 5*l) + 2*l - 3*l - l)*(l - 4*l - l)*(-106 - 193 - 93 - 62) in the form f*l**2 + j + r*l and give f.\nAnswer: -5448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**0*i*i**(-1\/7)*i*i assuming i is positive.\nAnswer: i**(20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -512\/5*c**2 - 32\/15*c**3 + 0 - 178*c - 1\/60*c**4. Suppose o(l) = 0. Calculate l.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64635 divided by 14?\nAnswer: 64635\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = i + 14, -3*p + 3*i - 70 + 76 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x - 4*x - 825. Which is the smallest value? (a) 4\/7 (b) 1\/4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7486946 milligrams in nanograms?\nAnswer: 748694.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 5. Let a = l + -4. Let j = a - -11. Sort 0.1, j, -0.5 in descending order.\nAnswer: 0.1, j, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6173226 (base 10) in base 6?\nAnswer: -340151430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72578 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -392 - -159. Let k = v - -413. Suppose c = -70 + k. What is the highest common divisor of 10 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000254136 to six dps.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 56, 1 in decreasing order.\nAnswer: 56, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 1. Let s be z(3). Suppose -4*j - 644 = -3*i, 4*i = s*i + j - 846. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (6 - 16) - 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*r - 4. Suppose -6 - r = -4*f. Let n = 14.078 - 11.078. Sort 0.1, n, 0.3, f in ascending order.\nAnswer: 0.1, 0.3, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*n**2 + 25*n**2 + 1 - 5*n**2 - 7*n**2 + n**4 to the form f*n + u*n**4 + v*n**2 + h + a*n**3 and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1549750 and 21231575.\nAnswer: 212315750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*s**3 + 10*s + 10 - 10*s - 3*s**3 wrt s.\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -84, -177, -306, -471, -672, -909?\nAnswer: -1182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152748 + 2*u + 76383 + 117*u**2 + 76365 - 4*u.\nAnswer: 117*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -523.754505 to zero dps.\nAnswer: -524","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31975\/187 + 171. Let v = -155\/2992 - o. Let n be (0 + (-20)\/(-630))*9. Which is the closest to -0.1? (a) -0.4 (b) v (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*c + 5*c - 2*c.\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.5 + -2.4. What is the nearest to a in -0.4, -5, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 96*f**3 + 49 - 49 + (2*f**3 + f**3 - 2*f**3)*(4 - 3 + 0) - f**3 - 6*f**3 + 2*f**3 as a*f**3 + c + l*f + j*f**2 and give a.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*v - 3*v - 19*v)*(2*v**2 - 3*v + 3*v) + 0*v**3 + 3*v**3 - 5*v**3 as r*v**3 + l*v + h*v**2 + k and give r.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.9 and 33.\nAnswer: -95.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.478 + 0.95.\nAnswer: 1.428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -29*y**2 - 4*y + 3. What is m(1)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -324*j**2 - 322*j**2 - 186 - j + 2*j + 643*j**2.\nAnswer: -3*j**2 + j - 186","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 244*d + 1580. Let l(s) = 123*s + 787. Let w(t) = -7*l(t) + 3*n(t). What is the first derivative of w(b) wrt b?\nAnswer: -129","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/33? (a) -9 (b) 0.5 (c) 0.8 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3258 - 10?\nAnswer: 3248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -420 = 5*o + 9*o. Let i be 2\/14*(o + 30). Solve k + i - 3 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(190) + sqrt(190)*-1))\/sqrt(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.48 and -0.079612.\nAnswer: -2.559612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 86, 173, 264, 359, 458?\n\"Answer: 2*u**2 + 81*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 33*z**2 - 123*z - 13. Give f(-38).\nAnswer: -2559","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 974.5593 decades?\nAnswer: 97.45593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-12)*(-3)\/(-5). Let k = -35 + 34.9. What is the third biggest value in z, k, -2\/11?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 110, 103, 2, -4, -3, -1 in descending order.\nAnswer: 110, 103, 2, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dwwd when four letters picked without replacement from {w: 3, d: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -439 + 448. Let h = -48 + 120. What is the greatest common divisor of h and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1281 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 9 - 8 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198809504.\nAnswer: 2, 79, 78643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/15 + 6\/45. Let y be (10 + (-595)\/60)*(-8 + 10). Factor y*l**4 - f*l**3 + 1\/3*l + 0*l**2 - 1\/6.\nAnswer: (l - 1)**3*(l + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 3 - 7. Let q = 1.063 + 3.937. Which is the second smallest value? (a) q (b) l (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k. Let b(f) be the second derivative of -19*f**5\/120 - f**3\/2 - 5*f**2 - 334*f. Let o(m) be the second derivative of b(m). Calculate v(o(a)).\nAnswer: -76*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 7*n - p - 13, 0 = 2*n + p - 11. Let s be 2\/(n*2\/16). What is the first derivative of 3*f**4 + 47*f**2 - 47*f**2 - 14*f**s - 4 wrt f?\nAnswer: -44*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + 12*k + 19. Let o be w(-9). Let z = -5 - o. Suppose -r = z*p + r - 56, -p + 17 = -r. Is p even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - (3 + -1))\/3. Solve -4*v + r*j - 5*j = -1, 2*j + 6 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Solve -2*o - o = i + 33, -50*i - 125*o - 607 = -51*i for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ius when three letters picked without replacement from ssssisssssssssussss?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**4 + 15491*c**2*x + c*f + 1152*f + 85*x wrt c.\nAnswer: -4*c**3 + 30982*c*x + f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 316883?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3 - l**2 - 4*l**3 + 4*l + 10*l**2 + 5*l**3 - 3*l**2. Calculate the smallest common multiple of 22 and g(-5).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2 - 21632*o - 64932.\nAnswer: 4*(o - 5411)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-27))\/(5\/30)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 374661 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 4*j - 19 = x, 0 = -4*x + 2*j - 20. Let i(u) = u**3 + 2*u**2 - 2*u. Let p be i(x). What is the remainder when 3*6\/p*78\/(-12) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 5) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -2*c + 18, 568*g + 64 = 572*g for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-117)\/13*30\/(-180)*-28?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y**3 + 4*y**2 + 2*y + 1. Let r(d) = -d**3 - d**2 - d - 1. Let t(q) = 3*r(q) + v(q). What is t(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 244909678 and 91?\nAnswer: 1714367746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 l when two letters picked without replacement from {i: 3, h: 4, t: 2, m: 1, l: 2}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 293\/5 or 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 4*g + 18*g**2 - 14*g + 8 + 21*g**2.\nAnswer: 39*g**2 - 10*g + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-11))**(1\/9)\/(o**19\/(o**(-21)*o)))**(-6) assuming o is positive.\nAnswer: o**(724\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*m**3 - 111*m**3 + 284*m**3 - 83*m**3.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one tenth of a kilogram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -970 divided by -194.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(270) + sqrt(30))*2)\/(sqrt(160)\/sqrt(4)).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 771971.3 nanograms to grams.\nAnswer: 0.0007719713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -0.21616.\nAnswer: -0.043232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36561105 divided by 189.\nAnswer: -193445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**5\/r*r*r**(-4\/5))\/(r*r\/(r\/r**(-2\/3))*r)**(3\/13) assuming r is positive.\nAnswer: r**(318\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 134, 225, 316, 407?\nAnswer: 498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 173700.\nAnswer: 1389600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -57765751770 rounded to the nearest 1000000?\nAnswer: -57766000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of p**5\/160 + p**4\/24 - 265*p + 157. Let o(n) be the first derivative of z(n). Solve o(w) = 0 for w.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 539\/(-7) + (-1 - 0). Calculate the common denominator of -2 - 2\/((-88)\/h) and -93\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/50213124 and 139\/360.\nAnswer: 502131240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 6. Suppose 0 = r + 2*r - u. Let n = 23.5 + -23. Which is the smallest value? (a) r (b) n (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 6. Let q(d) = d**3 + d**2 - 5*d + 3. Let f be q(3). Suppose -5*x - 4 = -f. Solve 4*y + 3*j + t = x*j, -4*y - 5*j = 41 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1185 - -1826. Calculate the remainder when l is divided by 212.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/7 - 851\/259?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5*s = 152, 5*m = -0*s - s + 688. Suppose 3*u = -9, -m = -5*o + 2*u + 2*u. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v + 15*v - 16*y + 100, 5*v + 4*y - 25 = -v + 2*v + 3*y for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a factor of 7252489?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-4 + 3 - 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -1\/8, -0.106, -4\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1786948?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44 + -49. Let t(m) be the first derivative of m**2\/2 - 2*m + 1. Give t(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b. Let t(q) = -q**2 + 9*q - 8. Let f be t(9). Let j be 1 + 0 - f\/4. Calculate d(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a - 6 = -23*a. Let m(l) = l**2 - 5*l + 2. Let c(t) = -t**2 + 6*t - 3. What is a*c(w) + 3*m(w)?\nAnswer: w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9009 and 1232.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -772*c = 256*c - 12354 - 5122 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 32 = o + 5*w + 4*w - 6*w, -2*o + 19 = w for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 3 = t, -4*t = -4*s + 212. Suppose -3*h - 38 = -2*y, 3*y + 0*h - s = 4*h. Calculate the greatest common factor of y and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 - 3*s**2 - s**4)*(3*s + s - 2*s) + (-1 + 1 - 4*s)*(-s**4 + s**4 + 3*s**4).\nAnswer: -14*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99, 100, 101, 102, 103?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.05 from -1485279868.\nAnswer: -1485279867.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 190027813 to the nearest integer?\nAnswer: 13785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 138, 5, -12, 15 in decreasing order.\nAnswer: 138, 15, 5, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ap when two letters picked without replacement from {p: 5, a: 8}?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -6*h**2 + h - 1. Calculate s(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23*d**2 + 11*d + 1565.\nAnswer: -46*d + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 108 + -61. Suppose 5*t - x - 13 = 0. What is the smallest common multiple of 18 and t?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from okkkwwozzzofwfzzkz. What is prob of sequence okko?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**30))\/(((u**(-3\/4)*u)\/u)\/u)*(u\/(((u*u\/(u\/(u\/(u*u*u**(-4\/15)\/u)*u)))\/u)\/u))**(12\/17) assuming u is positive.\nAnswer: u**(-9429\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -274465 times -5\nAnswer: 1372325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 16.6, -0.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of m**4\/12 + 5*m**3\/6 + 3*m**2 + m. Let u = 2678 - 2682. Let d be f(u). Solve -5 = -d*k + 3*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 times 2.09\nAnswer: -16.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*l - 10 = 0. Find the second derivative of -f**2 - 4*f + 2*f**l + f**2 wrt f.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i - 12. Let a be q(-15). Suppose 0 = 38*w - a*w - 25. Is w a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaafiffxxaaaaf. Give prob of sequence af.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.3, -3, -1, 2\/15?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 156, 154, 152, 150, 148?\n\"Answer: -2*k + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a716 (base 12) in base 5?\nAnswer: -10034024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 4*c - 2*c)*(-5 - c**2 + 5) - c**3 - c**3 + 0*c**3 + 1 - c**3 - 1 - c**3 + 25*c - 25*c + 121*c**3 + 236*c**3 - 628*c**3.\nAnswer: -276*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 132, 133, 134, 135, 136?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 13*b**2 + 3*b - 2. Let h be u(5). Suppose 2*o - h = -0*o. Suppose 5*r + 3*y - o = 0, -5*r + 2*y = -r - 144. Is r a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -0 + 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -38117*l - 66708.\nAnswer: -38117","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 5*g**2 - 13*g - 7. Let w = -455 + 626. Let i be 12\/(-30) + w\/15 - 4. Determine b(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 7618 = 1364. Suppose -2*k - 2*m = r, k = -0*k - 4*m - 1488. Round k to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -110547*a**3\/5 - 442194*a**2\/5 - 442212*a\/5 - 24\/5.\nAnswer: -3*(a + 2)**2*(36849*a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of 0*v + 2 + 6*v**2 - 2\/3*v**3. Find the second derivative of h(u) wrt u.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -484*k + 483*k + 57 = 0. Suppose 4*m + 2*y - 39 = 11, -3*y - k = -5*m. Calculate the remainder when 35 is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4553910079 rounded to 5 dps?\nAnswer: -0.45539","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44.8 + -45. Let i = -0.7 - -1. What is the nearest to -0.1 in n, -4\/3, i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + (17 + 12 - 10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 - 24. Let o(z) be the second derivative of -2*z**f + 0 - 1\/12*z**4 - 2\/3*z**3 + z. Calculate o(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 74\/7 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3630078?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 8*w + 8. Let j be 54\/(-3) + -1*2. Let a = j + 28. What is the units digit of m(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2684 divided by -22?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -4*y + 19. Let b be g(8). Which is smaller: b or -27\/2?\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c. Let q(z) be the third derivative of 8*z**2 + 0*z**4 + 0*z + 0 + 1\/20*z**5 + 0*z**3. Determine r(q(t)).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-126)\/(-6))\/21*-17.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (553 + 4 - -2). Let s = u - -754. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l**2 + l - 4. Give y(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160*c + 2176 = 176*c. What is the remainder when 681 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of 171*b**5\/20 + 223*b**4\/12 - 58*b + 62. Let l(z) be the first derivative of i(z). What is the third derivative of l(g) wrt g?\nAnswer: 1026","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192*r**2 - 157*r**2 - 222*r**2 + 186*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3861*p + 40 + 70*p**2 - 71*p**2 - 3858*p.\nAnswer: -(p - 8)*(p + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q*q**(2\/7))\/q*q*q)\/q)**(-4)\/((q\/q**(-1\/5))\/q**(-11\/3)) assuming q is positive.\nAnswer: q**(-1471\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*j + 349 + 138 = -184 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 43?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 18575352 to the power of 1\/2, to the nearest integer?\nAnswer: 4310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82015871.\nAnswer: 7, 17, 167, 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/171 and -31\/747975.\nAnswer: 42634575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.162 + -1.\nAnswer: 5.162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-539)\/28*(2 - (8 + 2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.71 - 97742\nAnswer: -97736.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 810\/(-81)*(-5)\/(-10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 5*f + 3 - 23*f**2 + 36*f**2 - 14*f**2. Let h be (-6)\/(-21) + 66\/14. Give c(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -5*b. Let q(l) = -10*l. Let u(k) = 7*i(k) - 4*q(k). Let h be u(-4). Calculate the lowest common multiple of (-7)\/((h\/24)\/5) and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of n**3*u**3 + 1362*n**3*u**2 - 2*n**3*u + 14*n**2 - 15*n*u wrt u?\nAnswer: 6*n**3*u + 2724*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 105411 divided by 47\nAnswer: 105411\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66 + -63. Let p(d) = -4*d**f - d**2 + 42*d - 2*d**2 - 2 - 44*d. Give p(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 2*h - 1. Determine r(3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 14*v - 105. Let g = 294 + -281. What are the prime factors of x(g)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -3*n**5\/80 - n**4\/8 + n**3\/8 + 3*n**2\/4 - n. Factor u(o).\nAnswer: -3*(o - 1)*(o + 1)*(o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 4*d**2 + 6*d - 7. Let a be q(3). Suppose -3*p + 35 = a*p. Let y be (0 + (-120)\/(-7))*p. What is the highest common factor of 15 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3.34 and -0.3694.\nAnswer: 2.9706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -29*y - 58. Let n(r) = r**3 - 7*r**2 - 16*r + 53. Let v be n(8). Let p be h(v). Calculate the highest common factor of p and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8432, -33745, -75936, -135005, -210952, -303777?\n\"Answer: -8439*t**2 + 4*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w + 8*w - 12*w - 16*w)*(22*w**3 - 22*w**3 + 21*w**4).\nAnswer: -336*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3392795 + 2*o**3 - 3392795.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -l - 27. Suppose -l*o + 22*o = 30. Is o < -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 41 + -7 - (1 + 2 + 0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1752702030 to the power of 1\/2, to the nearest integer?\nAnswer: 41865","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 4*j = -28. Suppose -2*b - 13 = -3*l + 3, 10 = 3*b + 4*l. Does 8 divide (-15)\/b + j\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 7 - 1178*t**2 + 2371*t**2 - 37*t - 1181*t**2. Calculate the remainder when 18 is divided by z(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3780.4722 + 16083363.5278. Let k = -16087129.499834 + s. Let n = k + -14.5. What is n rounded to 5 dps?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1313 + 153*m + 1318 + 444*m.\nAnswer: 597*m + 5","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 4*h - 18 - 10 = 0, -3*z + 16 = 2*h. Let n be ((-40)\/(-12))\/(z\/(-1236)). What is n rounded to the nearest 100?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 + -15. Suppose 3*y = -s + 8 - 0, 0 = 5*s + 2*y - i. Suppose s*a - 3*a + 18 = -t, -a + 2*t + 21 = 0. Solve -p - 11 = 5*d, -p + 3*d = 2 - a for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 32*d**2. Let x(c) = 29*c - 104. Let v be x(7). Let k(t) = -2*t + v - 99. Determine k(w(b)).\nAnswer: -64*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ohhh when four letters picked without replacement from {o: 7, h: 5}?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/11 - 650*w**2\/11 - 2576*w\/11 - 2568\/11.\nAnswer: -2*(w + 2)**2*(w + 321)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i - 1. Let a(p) = -5*p - 2. Let v(m) = -m**2 + 3*m + 4. Let o be v(3). Suppose 2*j + 4 - 3 = -y, -o*j = 5*y - 13. What is y*a(r) - 8*q(r)?\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -21*z. Let l(o) = 3*o**2 + o. Determine l(s(m)).\nAnswer: 1323*m**2 - 21*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -877565 at least -877561?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 33*f**2*j**2*k - 229*f**2*j - f**2 + 2787*f*j**3*k - 2*f*j**3 + 149*f*j wrt k.\nAnswer: 33*f**2*j**2 + 2787*f*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 5196560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 509 (b) -60 (c) 0.3 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of -4\/27*z**3 + 0*z + 0 + 1\/54*z**5 - 2\/27*z**4 + 3*z**2. Factor s(x).\nAnswer: 2*(x - 2)*(5*x + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1054 + 1493. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 175452 divided by 87726\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2000 rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.157561 or 842?\nAnswer: 842","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.038 - -39135?\nAnswer: 39135.038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a hour in minutes?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -1 (c) 1.5 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 54*g*o**3 - g + 806*o**3 + 129982*o**2 wrt o.\nAnswer: 324*g + 4836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 12 = 0, -36 = -3*h + 19*n - 16*n. Solve 4*o = -16, -5*j - 8 = -o + h for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 8:37 AM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i + 4. Suppose -2 - 2 = 2*h. Let q = h - 1. Let f(r) = r + 5. Let x(u) = u + 11. Let g(k) = -11*f(k) + 6*x(k). Determine q*g(v) + 8*z(v).\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 + -17. Suppose i*k = 4*k + 71. Suppose -4*o = -o + 3*d - 177, -k = -o + 5*d. List the prime factors of o.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001260833 to 5 decimal places.\nAnswer: -0.00126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 2541?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*(-1)\/(-6)*-10. Suppose 2*p - i - 7 = -1, n*i = -2*p + 30. Calculate the highest common divisor of 5 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17572200 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -51*r**2*u - 91*r**2 wrt u?\nAnswer: -51*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3226475*t**4 + 8263458*t**2?\nAnswer: 77435400*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/25 of a microgram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-714)\/(-24) + (-3)\/(-12). Let p be (336\/40 + -9)\/((-63)\/t). What is the closest to 1\/4 in -4, 3, -1\/7, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*a**4 - 2*a**2 + 5 + a**4 + 23983*a**3 - 23980*a**3 + 4*a**2 + 28*a + a**4 to g + t*a**4 + j*a**3 + y*a + d*a**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -m + 3*q + 13, -3*m - 3*q + 3 = 0. Suppose -24 = -5*x - m. Let w be 0\/x + 9 + -1. Calculate the highest common factor of 4 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4\/431 - 818\/4741. What is the smallest value in i, 124, 3\/8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 28 - 115 = 0. Calculate the highest common factor of x and 319.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(165)\/sqrt(3))\/(sqrt(10)\/(sqrt(18) + sqrt(2))).\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1468 is divided by 104.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 318 - 129. Suppose b = 10*c - 3*c. What is the greatest common divisor of 9 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7440.090876062 + 7705.0908758. Let u = 0.4 + -265.4. Let r = u + j. Round r to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16442 + 17514. Calculate the greatest common factor of d and 6164.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 o when two letters picked without replacement from cwopw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 5, 31, -241.\nAnswer: -241, 1, 2, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10325?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 283 divide 342996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - (2 + -1 + -6). Let m = -138.8 - -139. Which is the second biggest value? (a) z (b) m (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-7))\/((-693)\/147)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -419, -28, 50\/11?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -6. Let u = y + 12. Let f be (3\/(-9))\/((-1)\/u). Calculate the greatest common divisor of f and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 11:34 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -1307*m**3 - 9*m**2 + 56*m - 60. Let l be x(-15). What is l rounded to the nearest 10000?\nAnswer: 4410000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 1, -0.4, 0.047, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - 0. Let a be f\/((-3)\/54) + -2. Suppose -3*k - k = -a. Solve -k = -4*x + 4*h, -11 = -5*x - h + 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 29570600 + 2*t - 29570600. Let w(o) = 4*o**2 - 110. Determine n(w(v)).\nAnswer: 8*v**2 - 220","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 4.5, -16, -0.06?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -25 + (17 - 5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 480.8 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - t - 4 = -3*t, 0 = 3*u + 3*t - 24. Suppose 323996 = u*z - 175885. Suppose 4*x = 37373 + z. What is x rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**3 + 2*i**3 + i**4)*(0*i - 2*i + i)*(-2 + 2 + 2) + (0*i**3 - 3*i**3 + 0*i**3)*(0*i**2 + 0*i**2 - 5*i**2) + i**3 - 3*i**5 - i**3.\nAnswer: 10*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 2)\/(158430\/(-1320) + 120)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.053 - 1.947. Which is the nearest to 1? (a) 0 (b) w (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2352 by -196.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 2*p - 5. Let k(b) = b + b - 3*b + 4 - b**2. Let d be (6 - 2)*30\/(-4). Let h = d - -27. What is h*k(w) - 2*j(w)?\nAnswer: w**2 - w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rb when two letters picked without replacement from njaynnjyjbjrjyrjrr?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 6 (b) -4 (c) -45769 (d) -0.1 (e) -0.3 (f) 4 (g) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 3*r**2 + 4*r + 4. Let a be h(-3). Let i(f) = f**2 + 4*f - 11. Is i(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 141 - 138. Let x(b) = -2*b**2 + 3*b. Let c(u) = -10*u**2 + 16*u. Let d(n) = h*c(n) - 16*x(n). Let i(k) = -19*k. Determine i(d(y)).\nAnswer: -38*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 397, 397, 407, 433, 481, 557, 667, 817?\n\"Answer: q**3 - q**2 - 4*q + 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k*k**(-2\/5)))\/k)\/k**(11\/5))**(-1\/11) assuming k is positive.\nAnswer: k**(14\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5968)\/16412)\/(2\/242)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53379523?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -137687 + 602641. Suppose 15*p - s = p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 615*q - 385059 = 2528*q - 5382*q for q.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.02151 and -0.095237?\nAnswer: 0.116747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -212 + 208. Let m(o) = 17*o + 70. Let w be m(b). What is the greatest common divisor of w and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7362 smaller than -7362?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (293 - 610 + 246)*(349 - 349 - 6*a) to z*a + k and give z.\nAnswer: 426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48567995 by -511.\nAnswer: 95045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -3, 2*v - 5*p - 24 = -5. Let w = 3 - 6. Let f = -4.9 - -5. Which is the nearest to -1? (a) f (b) v (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1748 and 17668.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 82 + -51. Suppose -i = -4*f + 213. List the prime factors of f.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in -1\/3, 5\/4, 161, -2.9, 2, 1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*t**3 + 16*t**3 + 15*t**3 - 61*t**3.\nAnswer: -11*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*a*q*u**2 + 9027*a*q*u - 724*a*q + 112*a - 2*q*u**3 wrt u.\nAnswer: -8*a*q*u + 9027*a*q - 6*q*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(48\/51))\/((20\/(-8))\/((-190)\/19))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 7*j - 8. Let c be y(8). Suppose 2*x + u - 9 = c, 0*x - x + 12 = 2*u. Let -2*s**3 + 0*s**3 + 18*s**x - 14*s**2 = 0. What is s?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -52*b**2 - 7*b. Let k(j) = 26*j**2 + 4*j. Let n(v) = 5*k(v) + 2*m(v). Find the second derivative of n(q) wrt q.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365325 is divided by 72.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5323136 by 728.\nAnswer: 7312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 404596 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67544 is divided by 171?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28560 and 57260.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -555*w**2 + 3453*w - 684. Determine x(6).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 44*j + 77*j + 17*j as h + v*j and give v.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -980, -902, -770, -584, -344, -50?\n\"Answer: 27*q**2 - 3*q - 1004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18016 + -17939. Calculate the smallest common multiple of i and 3878.\nAnswer: 42658","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.621 + -0.049. Let h = 0.65 + t. What is the smallest value in h, 0.2, -0.5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*g + 3*g + 4*g)*(-1 + 2 - 3)*(6 + 4 - 5)*(-g**3 + g**3 - 6*g**3) as j*g**2 + t*g**3 + f*g + c + h*g**4 and give h.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 4*f - 1. Let o be j(-3). Let v be ((-10)\/o)\/(6\/12). Suppose -m = -v*m + 96. Round m to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/6 - 56\/6. Let a be u\/(-6) - (-2)\/6. What is the remainder when 35\/7*2\/a is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81403, -165863, -250323, -334783, -419243, -503703?\nAnswer: -588163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/8 - 147*a**2\/8 + 1141*a\/4 + 645.\nAnswer: (a - 129)*(a - 20)*(a + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 845464507?\nAnswer: 845464507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 347 - 695\/2. Let n = -20.2 + 18.2. Let v = -4.9 - 0.1. Which is the smallest value? (a) i (b) -3 (c) v (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u + 860 - 860.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*b - 4*b**2 - 397*b + 301*b + 0*b**2 - 2.\nAnswer: -4*b**2 - 70*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4*v = -0*v - 19, 2*k = -4*v + 26. Suppose p = k + 147. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*t**2 - 26\/9*t + 0 + 5\/9*t**3.\nAnswer: t*(t - 13)*(5*t + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus 24598?\nAnswer: -24595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -4*l + 2. Let q(j) = 1 + 8 + 70457*j - 70474*j. Let o(r) = 2*q(r) - 9*u(r). What is o(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 719862593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78 and 172562?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**2 - 336*x + 996. Determine g(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w + w + 4*w + (2 - 1 + 3)*(-w + 2*w - 2*w))*(0*w - w - 2*w)*(-2*w - 1 + 1).\nAnswer: 36*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (5 + 4*((sqrt(2) - (sqrt(2) - sqrt(18)*-5)) + 1 + sqrt(2)*-3))**2.\nAnswer: -1296*sqrt(2) + 10447","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -932. Let g(u) = -u + 2110. Let n(l) = 9*f(l) + 4*g(l). What is n(13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2718290631 - 0.05?\nAnswer: 2718290630.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 398937341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 3) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 7 - 1. Suppose -3*d + 14 = -4*y - d, d - 13 = 4*y. Let b be y - s\/(-9)*0. Which is smaller: -2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 638*j + 291*j = -1716*j - 195730 for j.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + 1 + 3 + 1)**2 - (sqrt(405)*3 - sqrt(5) - -5*sqrt(10)\/sqrt(2)).\nAnswer: 9*sqrt(5) + 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1009433.\nAnswer: 1009433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70567194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48*(14\/(-3) + 5).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 6 + 3*n**4 + (-3*n + n + n)*(1 + n**3 - 1).\nAnswer: 2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 822604 = -6425*b + 205804 for b.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21444.3 - -21444. Sort 0, -401, x, -0.2 in ascending order.\nAnswer: -401, x, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -v**8\/840 - v**7\/525 + 7*v**6\/150 + v**5\/25 - 3*v**4\/4 + 9*v**3\/5 + 297*v**2. Suppose z(c) = 0. Calculate c.\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*u**3 - 2*u**3 - 314*u**2 - 146*u + 466*u wrt u?\nAnswer: 6*u - 628","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-263444)\/(-20))\/(((-120)\/(-900))\/(4\/6)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60673 and 71961?\nAnswer: 1411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -264, -4, 34\/11, 14, -2\/7, -0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -50 + 46. What is the closest to 0.1 in -0.3, 1, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 861 or 1719\/2?\nAnswer: 861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 96*t**2 - 145*t + 314. List the prime factors of m(-99).\nAnswer: 2, 7, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/5)\/((h\/(h**(2\/9)*h))\/h)*(h\/((h*h**(-1\/3)*h)\/h)*h)**(1\/14))**26 assuming h is positive.\nAnswer: h**(15704\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1502, 1500, 1488, 1460, 1410?\n\"Answer: -u**3 + u**2 + 2*u + 1500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 819127.4 millilitres?\nAnswer: 819.1274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -584 = -5*a - g, -2*g + 14 + 101 = a. Does 17 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 506.6827 nanograms?\nAnswer: 0.0000000000005066827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-2) - (1 - 7344\/(-14176)). Which is greater: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 9. Suppose -z*n = -n. Let u = n + 4. Solve -o - u*o = -15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1242 + 231?\nAnswer: 1513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3411623?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 5, 2, 8 in decreasing order.\nAnswer: 8, 5, 2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*s**2 + 60*s**2 + 137*s**2.\nAnswer: 184*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 0)*(0*j - 4*j + 2*j + (163 + 446 - 64)*(0*j + 4*j - 2*j)).\nAnswer: -2176*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 59075 - 20901. What is the ten thousands digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -271 - -287. Suppose 5*z = 2*u - 95, 6*u = 3*u - 2*z + 133. Calculate the remainder when u is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(190) + -1*sqrt(190)*5)\/(sqrt(30)\/(sqrt(3) + sqrt(12) + sqrt(3)))*5)**2*6.\nAnswer: 2918400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/3 (b) -0.04 (c) 4\/3 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of y**3\/6 + 5*y**2 - 4*y. Let g be j(-6). Suppose 80 = 4*q - g. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29205 and 891.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away -335981?\nAnswer: 335980.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.1833 + 1.687. What is d rounded to two dps?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -2*h - 31524, 3*a - 5*h + h = 23648. What is the thousands digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 k, and 1 u when three letters picked without replacement from qqxxuxqxkkxzkkp.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from trtootawfrtft. Give prob of picking 1 t and 1 r.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 397553769?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 664 is divided by 98.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (93 + 149*x - 60*x - 134)*(3 - 3 - 1) in the form d*x + i and give i.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*g + 3456 - 3411. Let j(m) = 2*m - 9. Let a(d) = -3*d + 9. Determine g*j(c) + 4*a(c).\nAnswer: -2*c - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of -44\/3*r**3 + 0*r - 23\/6*r**4 + 0 - r**2 - 1\/15*r**5. Factor l(f).\nAnswer: -4*(f + 1)*(f + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 11*u - 8*u. Let t = -0.3 - -0.8. Which is the biggest value? (a) t (b) -2\/9 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/23 + -19\/92. Let t = 37.9 - 33. Let h = -5 + t. What is the closest to h in 0.2, r, 2\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -1\/7, 1\/6, -2, -0.5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 243\/180 - 1\/1. Let r(h) be the second derivative of 7*h + 0*h**3 + 0 + 0*h**2 - l*h**5 - 1\/4*h**4. Find the third derivative of r(y) wrt y.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21699448311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of 1 - 11\/24*w**4 + 1\/3*w**3 + 0*w - 1\/120*w**6 - 2*w**2 + 0*w**5. Find the second derivative of b(j) wrt j.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - (0 - -1) - -6. Suppose -4 + 4 = 16*d. Suppose -m*z + 2*z = d. Round z to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + l - 136 = 0. Let z = l + -19. Let u = 56 - 29. What is the remainder when u is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-232)\/(-3016) + 466\/26. Solve 9*n = x*n + 45 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23)\/(-63) + ((-140)\/45)\/14?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 1080 = -k, 4*u + 5*k - 4317 = -0*u. List the prime factors of u.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5*q = 24, 0*m + 3*m - 5*q = 36. Suppose 0 = -p + 1 + 7. Suppose -o + r = -23, 15 + p = o - 4*r. What is the remainder when o is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62*((-7)\/2)\/(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (3 - -32) - (6 + (54 - 47)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -3 + 0 - -6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1446 + 2?\nAnswer: 1450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*p - 2*o, 5*o = p + 2*p + 19. Let r be (112\/(-12) + 3 - -3)*-30. Suppose p*b = -3*b + r. Solve 3*z = -2*z - b for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6180648 to the nearest integer?\nAnswer: 2486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 502 - 512. Let l be ((-224)\/y + -4)\/(4\/(-50)). Is l > -230?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1164 or -1162?\nAnswer: -1164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-19)\/(-95))\/(10\/(-25)). Let r = 1.1 - 0.8. Which is the closest to m? (a) r (b) 4 (c) 2\/49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41520?\nAnswer: 2, 3, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = i + i. Suppose -i*o + 3 = -9. Suppose o*t = t. Solve v = 5*x - 9, -4*v + 10 = 3*x - t for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a538 - 1?\nAnswer: -a539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**27*g**(2\/3)*(g*g\/(g**16\/g*g*g))**41 assuming g is positive.\nAnswer: g**(-1762\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -75159911*-0.4\nAnswer: 30063964.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(2448))*4 + (6*sqrt(153)\/sqrt(3))\/sqrt(3))**2.\nAnswer: 49572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2\/18*2520\/700 - (0 + (-48)\/10)\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i - 8. Let s be p(3). Let h(m) = 2*m + 15. Let c be h(s). Let a = c + 43. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-5))\/((869\/(-110))\/79). Put 12, 4, -18, r in ascending order.\nAnswer: -18, r, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 5*d - 5. Let q be m(5). Let h be ((-2)\/q)\/((-6)\/(-30)). Solve 1 = -f - w, -4*w - h = f + 2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2011013031 (base 4) in base 10?\nAnswer: -545229","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3\/5 (b) 0.1 (c) -2 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in fifty-one halves of a second?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231 (base 8) to base 5.\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8661.0894 + 8719.08940375. Let r = y + -58. What is r rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 3*v - 16 = -3*z, 4 = -v for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2742471?\nAnswer: 3, 101573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 260 - 249. Suppose -17*u + b*u = 0. Solve u = -n - s - 2*s - 16, 4*n + 14 = -2*s for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-31 - -8) + 7)\/2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160244 is divided by 1324.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/93 and -161\/930?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -t**8\/3920 + 3*t**7\/1960 - t**6\/420 + 40*t**3\/3 - 15*t. Let p(q) be the second derivative of g(q). Factor p(u).\nAnswer: -3*u**2*(u - 2)*(u - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -t - 120 + 134, 73 = 4*t + 5*p. Solve 2 - t = 15*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12732, 25466, 38202, 50940?\nAnswer: 63680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1852 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1269a5 (base 11) to base 9.\nAnswer: -333622","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 3*y**5 - 453*y**4 + 4221*y**3 + 1365*y**2 - 13596*y + 8460 = 0.\nAnswer: -2, 1, 10, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 230*b**2 - 483*b**2 + 214*b**2.\nAnswer: -39*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -158. What is the remainder when p is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*s + 5. Let z = s + 2. Suppose 0*a = -5*a + 80. What is the greatest common divisor of z and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69 + 34 + 167 + 351*w + 161.\nAnswer: 351*w + 431","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 292883845 to the nearest integer?\nAnswer: 17114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32.787 + -33.087. Which is the smallest value? (a) 2 (b) 14.9 (c) 3\/4 (d) 13 (e) y\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37*j*m**2*z**3 - 572*j*m*z**3 - 5*j*m*z - 3*j*m + 4437*m**2*z**3 + 5*m*z**3 wrt m?\nAnswer: -74*j*z**3 + 8874*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p + 2*t = -13*p + 65, -p - t = -20. Suppose -12*c = -4*n - 13*c - p, 15 = -3*c. Sort n, -8, -3.\nAnswer: -8, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 654*a**2\/11 - 14392164*a\/11 + 5281440\/11.\nAnswer: 6*(a - 22006)*(109*a - 40)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 4509506*o**2 - 4 - 4509502*o**2.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -98 - -173. Suppose x - 245 = -5*v. Suppose -2*a + 2*z + 28 = -v, 0 = 2*a - 4*z - 72. What is the greatest common divisor of 39 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -246 - -268. Let u = -5 + 65. Let z = -42 + u. Are c and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 - -43. Let x = f + -12. Which is the closest to -2? (a) 0.5 (b) -2\/3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12138 is divided by 86?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (96 - 104) + (-1 - 1) + (103 - 7 - -1).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**19*g)\/g*g)\/g*g)**23 assuming g is positive.\nAnswer: g**460","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 5*s - 3 - 301, -4*s + 5*i + 221 = 0. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((4 - 11) + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.1 (b) 3 (c) 1\/88\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03628434126 rounded to 6 decimal places?\nAnswer: -0.036284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -9511 (base 12) in base 15?\nAnswer: -4c5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28747 is divided by 56?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 8, o: 5, h: 5}. Give prob of sequence ooh.\nAnswer: 25\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -79\/5 - -15. What is the second biggest value in y, 2, -3\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*h - 31 = 29 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 4*u**3 + 9*u**2 - 6*u. Suppose -5*d - 5*d = -2*d - 56. Let b(m) = m**3 + 3*m**2 - 2*m. Give d*b(z) - 2*r(z).\nAnswer: -z**3 + 3*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 4:53 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20.6748 + -0.0252. Let y = j - -1.7. Let o = -19.1 - y. Do -18 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 - -6)*-1*2\/10. Let z = 0.4 - 0.8. Let q = -0.1 + z. Which is the smallest value? (a) j (b) 5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1048213?\nAnswer: 1048213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5646 (base 10) to base 3.\nAnswer: -21202010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -51*s**5 + 4*s**3 + 1329*s wrt s.\nAnswer: -1020*s**3 + 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.113 in 0.1, -357, -44, 2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 80 = 30*q, -3*a + 5*q - 12338 + 12359 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -5*w - 5. Let f(m) = 0 - 35*m + 16*m + 15*m + 1 - 5. Suppose 10 = -0*d + 2*d. Give d*z(k) - 6*f(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4743424108 and -0.2.\nAnswer: -0.6743424108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/5 + (-18)\/(-10). Suppose -431*j = -678*j + 988. What is the highest common divisor of j and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 98631 to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -16\/5*x**5 - 8\/3*x**3 + 0*x**2 + 0 - 23*x + 17\/3*x**4 + 2\/5*x**6. Suppose b(u) = 0. What is u?\nAnswer: 0, 1\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/80 of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -11 (b) 0.31 (c) -2\/9 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 371, 745, 1121, 1499?\nAnswer: 1879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/3))**(-37)*(o*o*(o**(-1)\/o)\/o*o*o*o*o)**36 assuming o is positive.\nAnswer: o**(361\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 365933632 to the nearest integer?\nAnswer: 19129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d + 1802 - 1800 - 44*d + 16*d.\nAnswer: -32*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 45\/8 of a microgram?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 2*c + 6 = 0. Let u be -538*c\/(-6) + -1. What is u rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((3*sqrt(154)*-4)\/sqrt(11))\/(-6*5*sqrt(1008)).\nAnswer: sqrt(2)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 + 6*x**2 - 3*x**2)*(-3*x**3 - 2*x**3 + 6*x**3) + 6*x**5 - 22*x**5 + 14*x**5 - 84*x**3 - 1 + 1 - 2*x**5.\nAnswer: -x**5 - 84*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1422*y**3 + 5 - 3 - 2 + 1416*y**3.\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.30146l in millilitres?\nAnswer: 40301.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 403 and 27466.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1102112020101 (base 3) to base 15.\nAnswer: -eea57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of 0 - 5*s**2 - 1\/12*s**4 + 3*s - 3\/2*s**3. Calculate the smallest common multiple of 4 and n(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of 4427*v**7\/7 - v**3\/3 - 9*v**2\/2 - 187*v + 5545. Find the third derivative of t(p) wrt p.\nAnswer: 531240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/((-14)\/(-63)) + -5. Let y be 2\/(-4 + 18\/m). Solve -2*r - 3*l = 4, 3*r = r - y*l - 2 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7784 > 62277\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 354*f + 25116. Give m(249).\nAnswer: -1029","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 2*n - 8. Let z be r(-2). Let v be -1*(z\/1 - 19). Suppose 15*a = v*a - 988. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c18 + 2?\nAnswer: c1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.4825 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 2\/25 (b) -0.03 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v + 300. Let d(y) be the first derivative of -9*y**2\/2 + 13598. Give t(d(s)).\nAnswer: 9*s + 300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2713, 5506, 8295, 11080, 13861?\nAnswer: 16638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4386009?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*a + 59*a - 25*w = 18*a + 22*a - 590, a - w + 19 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47.742 - -47.95401. What is b rounded to 2 dps?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 1:53 AM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**3 + 7*o**3 - 2*o**3)*(-4*o + 5*o - 4*o) + (-1 + o**3 - 2 + 74*o - 76*o)*(-3*o + 4*o + o).\nAnswer: -4*o**4 - 4*o**2 - 6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -7*j**3 - 10*j**2 + 6*j + 18. Let p(o) = -13*o**3 - 19*o**2 + 12*o + 35. Let i(g) = -11*b(g) + 6*p(g). Calculate i(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/7)\/q*q\/(q*(q\/q**(-3\/8))\/q*q))**(-46))**18 assuming q is positive.\nAnswer: q**(30843\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-4) + 10\/(-6). Let b = -20 + 19. What is the nearest to b in 4, h, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 33*d + 10. Let q be a(10). Let y = 358 - q. What is the third biggest value in y, 0, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 6bc19?\nAnswer: -6bc17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172\/2 - 8 - -4 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3685, -7392, -11147, -14980, -18921, -23000, -27247, -31692?\nAnswer: -36365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -584*z - 59 wrt z.\nAnswer: -584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*h**3 + 2*h - 17*h**3 + 4 - 13*h**3 + h**4 to the form c*h**4 + u*h**2 + q*h + t + n*h**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/10 + 3256\/88*2\/40. Factor -5\/2*j - y*j**2 + 15\/4.\nAnswer: -5*(j - 1)*(j + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3896*c + 5908*c - 1256*c. Let z(g) = 2*g. Give k(z(l)).\nAnswer: 17096*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*(-1*sqrt(425)*1 + 1 + (sqrt(425)*2 - sqrt(425)))*4)**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 37*i**3 - 5*i**2 + 3195*i - 3191. Calculate n(1).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2*y**3 - 36682*y**2 + 2852070*y - 55556046 = 0.\nAnswer: 39, 18263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 2)\/(6\/183). Let t = 104 + -100. Suppose 5*j - f = k, -5*j + t*k + k = -65. Solve -j + 0 = -3*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/(t*t**(1\/11)\/t*t))*t)\/(t*((t*t*t**(-2\/5))\/t*t)\/t))\/(t**(-4)*t**(2\/9)*t))**41 assuming t is positive.\nAnswer: t**(66338\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n - 5*n + 3*n + (19*n + 5*n - 3*n)*(12 - 5 + 7))*(-3 + 3 - n).\nAnswer: -296*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*q - 2*q**2 - 20*q - 4*q**4 - 12*q + 2 + 0*q**4 - q**3 in the form a*q**4 + u + x*q**3 + w*q**2 + y*q and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t + 90 = -0*t. Let n(c) = -c**3 - 11*c**2 - 33*c - 9. Let d be n(t). Let l(k) = -k + 9. What is l(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*a + 145 - 40 + 111 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (280\/(-160))\/(70\/4).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 0.61, -0.06, 15.95, -3\/2?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 390.6432895 rounded to zero dps?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 412884?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*s**4 + 4*s**3 + 452*s**2 + 224*s.\nAnswer: -4*s*(s - 8)*(s + 7)*(2*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -32871456 divided by 1?\nAnswer: -32871456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f + 2. Let h be q(-2). Let x = 13 - 11. Suppose -2*y = -4*t + 4, h*t - x*t = 0. Let d(b) = -b**3 + 1. Let i(l) = -l - 4. Determine y*d(r) - i(r).\nAnswer: 2*r**3 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 0. Let k = -0.07 - -0.29. Let d = k - -0.08. What is the nearest to d in f, -1\/7, -3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.7 + -1. Let y = -0.2 - w. Let h = y + -0.1055. What is h rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.329386111 rounded to two decimal places?\nAnswer: -3.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1016 + 3716. What is g rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -23. Suppose -16 = 2*n + 2*n, 4*k + 180 = -3*n. Let c = k + 72. Calculate the greatest common divisor of c and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -4*v**3 - 45*v**2 + 48*v + 439. Calculate d(-9).\nAnswer: -722","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 14*m**3 - 4*m**2 + 4*m - 4. Let x be (72\/(-45) - -2*1)*-10. Let c(z) = 15*z**3 - 3*z**2 + 3*z - 3. Determine x*c(f) + 3*p(f).\nAnswer: -18*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -995 = 3*w - 971 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*l - 58 + 43 + 0*l to w*l + s and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/4, -3\/5, 1, -7 in decreasing order.\nAnswer: 1, -1\/4, -3\/5, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1839*c = -5*y - 1951*c + 620, 9*c - 93 = -4*y for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1920417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3376995?\nAnswer: 3, 5, 225133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220 - 244 = -4*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/5 - 9924\/120)*4. Let t be (2\/(-6))\/((-22)\/x). Put 24, -1, t, -3 in increasing order.\nAnswer: t, -3, -1, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1918321*h**4 - 2479227.\nAnswer: -7673284*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*k - 1 - 15, 0 = -4*n + 4*k. Let d = 7 - n. Solve 0 = 5*f + 4*u - 0*u, -15 = d*u for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5683144179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1938240\/(-54))\/((-2)\/75). What is u rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 8*f**2 + 7*f - 12. What is a(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-21)\/4)\/3)\/(3*(-56)\/672)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -74, -8, -2 in descending order.\nAnswer: -2, -8, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -4*v - 6, -3*v - 22 = 2*t + 2*t. Let u(c) be the third derivative of 1\/60*c**5 + 0 + 5\/3*c**3 + 0*c + 1\/3*c**4 - 3*c**2. What is u(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5*b + 330 = 0, 4*b = -3*x + 291 + 197. Let h = x + -157. Solve -2*g - h = 3*r + 1, 0 = -r for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2027815*n**4 - 2*n - 8792149.\nAnswer: 8111260*n**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-12) - (-1078)\/264)*-1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 158575628 or 158575627?\nAnswer: 158575628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z - 5*z**2 + 2*z**2 - 2*z**3 + 3*z**2 to k*z**3 + y*z + i + g*z**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 4, -2\/3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: a (base 11) to base 5\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 147370394761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6097459573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 92 - 88. Suppose -5*q + 7 = -x*q. Find the second derivative of -17*t + 4*t**4 - 8*t + 6*t**4 - q*t wrt t.\nAnswer: 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w - w + 8 + w + 3*w - 2*w**3 - w**2 to the form h + m*w**2 + v*w**3 + u*w and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 121, 134, 147, 160?\nAnswer: 173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 294203 or 294202?\nAnswer: 294202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 + -20. What is the closest to 1 in 1\/5, 4, u?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8146 * 2.\nAnswer: -1.6292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 46*u**3 - 5*u**2 - 25*u - 7. Let j(v) = 69*v**3 - 7*v**2 - 36*v - 10. What is 7*f(t) - 5*j(t)?\nAnswer: -23*t**3 + 5*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/1014 and -47\/1154439.\nAnswer: 2308878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 7 + -11 - 2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11422 (base 5) to base 7\nAnswer: -2341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.5 - 9. What is a rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000294145181 to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.03 - -0.97. Let x be 3*(4 - 400\/105). Sort g, x, 0.1 in descending order.\nAnswer: g, x, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-84))\/(5\/(-20)). Let d = -47 - -328\/7. Let p = 13 - 15. Which is the closest to -0.2? (a) p (b) d (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 8*j + 4. Let k = 11 - j. Let a(i) = -14*i**2 + 83*i + 6. Let f be a(6). Solve 0 = -f*d + 5*d - k for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.5 + -2.5. Let x = 1.6 + 0.4. Let p = x - 2.3. What is the third biggest value in c, p, 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/4, -3\/2, -0.11, -1\/2?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 5*s**2 - s + 2. Let k be l(4). Let a be k\/49 + (-66)\/(-14). Suppose 5 + 0 = -a*i. Which is bigger: i or 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -4 - (-10 - -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 14*r**2 + 8*r + 45. Let j be h(-12). Let g = j - 233. Solve 5*c = p + g*p, 0 = -2*p - 3*c + 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/6, 0.4, -28, -1, 856?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**5 - 4*w**5 + w**5)*(0 - 1 + 3) - 84*w**5 + 200*w**5 + 640*w**5.\nAnswer: 758*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35 - 34. Let y = 842\/35 - 174\/7. What is the biggest value in y, -20, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t**3 + 12*t**2 + 9*t + 9. Let p(s) = -s**3 + 6*s**2 + 4*s + 4. Let x(b) = -9*p(b) + 4*q(b). Factor x(g).\nAnswer: -3*g**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 137354750.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, i: 2, e: 4, y: 2}. Give prob of sequence ipe.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 12569850 divided by -5\nAnswer: -2513970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1448 + -921. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-326)\/163*4\/(-17)).\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1166 + 1166 + 489*f)*(0 - 2 + 3) + (3 - 3 + 2*f)*(0 + 0 + 1) - 3*f + f - 2*f.\nAnswer: 487*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*v**2 + 23*v**2 + 22*v**2 to the form n*v + l*v**2 + c and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -4*k + 2*m, 2*m + 9 = -5*k + 4*m for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9684012 to the power of 1\/3, to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -622883 divided by 431.\nAnswer: -622883\/431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((2*sqrt(1088) + 3)**2 + 2 + (sqrt(102) + 2*sqrt(102) + sqrt(102) + sqrt(102))\/sqrt(6)).\nAnswer: -26178 - 606*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -15*w. Let u(i) = -10*i + 8*i - i - 2*i. What is v(u(p))?\nAnswer: 75*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 8*p**2 + 6*p + 16. Let d be n(-5). Let x = d - -46. List the prime factors of x.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 d when three letters picked without replacement from deaogeooegooedoo?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 3:48 PM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12782 and 111552?\nAnswer: 1227072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100121 + 222?\nAnswer: 101120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 2*n. Suppose -4*c - 1 = 3. Let z be -17 + c + -11 + 8. Let w be ((-6)\/(-9))\/((-2)\/z). Let b(p) = 3*p**2 - 7*p. Determine w*o(j) + 2*b(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 238330447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 14382703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 6 = -3*c. Suppose c*x = -2*g - 0*x + 24, 5*g + 2*x = 71. Suppose g = 82*y - 77*y. Solve 3*j = -3*p - 24, -4*p - 5 - 24 = y*j for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 bigger than 7506.527?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 203094810 and 2.\nAnswer: 406189620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 19*j - 36. Let h be w(2). Suppose -h*s + 67 = -165. Is 58 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (216783\/36)\/(2\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l**2 + 11. Let h(i) = 2*i**2 - 7. Determine 8*h(a) + 5*k(a).\nAnswer: a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 divided by 4542785?\nAnswer: -3\/349445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29701 + 54255 - 21*i**3 - 24554 + 20*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 11*p**2 - 11*p - 7. Let v be d(-10). Put 5, -56, v in descending order.\nAnswer: 5, v, -56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66\/297 + 734\/18 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.2+1111505746\nAnswer: 1111505743.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/288867 or -0.067?\nAnswer: -0.067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o - 3 + 3 + (0*o + 2*o + o)*(-9 + 12 + 21).\nAnswer: 70*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/(-126))\/(-2*(-2)\/48).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 7 + 4)*(2 + 0 + 0)*(3*r + 4*r - 5*r + (-2 + 2 + 10*r)*(24 - 13 + 14)).\nAnswer: -3024*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 115 + 5 = 0. Suppose -58*p - 59*p + 885 = -58*p. Calculate the greatest common factor of v and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 minus -22.0297141?\nAnswer: 2.0297141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1051.5 - 1061. Round s to 0 decimal places.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 - 106 = 34*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/12))**(-4\/17)*(q**(-6)\/q*q)**(2\/27))**10 assuming q is positive.\nAnswer: q**(-650\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -208 + 214 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15*255\/(-450) - 7.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3 + 2*t**2 - 2*t**3 - 3*t**2 + 5*t - 3*t**2 - 4*t. What is the remainder when x(-3) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 - 65. Let f be z\/(-5) + 4\/(-14). Let i = f - 40\/7. Which is greater: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -211349524 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 5*v - 922994, -493*v + 490*v - j + 553794 = 0. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nrnnlllnlhhhlcu. What is prob of picking 1 l and 2 c?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s - 6*s + 4*s = 75, -10*s + 198 = -7*b - s + 63 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 663 and 14229?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**2 + 3*l**2 - 4*l**2 + (0 - 2*l + 0)*(3 - 3 + l) + (-l - l + 3*l)*(0*l - l - l).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*d + 6*d. Let w be d - (-1)\/(-1 + 0). Suppose -4*k + 836 = 4*t, w = -5*t + 2*t - 3. Does 42 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 4*z**2 + 3*z - 3. Let d = 4 + -2. Let i = -3 - d. Is j(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -8*n**2 + 5*n + 6. Let j(l) = -8*l**2 + 4*l + 5. Let i(m) = -5*j(m) + 4*q(m). Let p = -23 + 30. Let a be (-5 - -1) + -2 + p. Calculate i(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 3*t + 0*t)*(6*t + 9*t**2 - 6*t) - t**3 + 1 - 1 + (t + 0*t + 0*t)*(3*t**2 - 6*t**2 + 5*t**2).\nAnswer: -17*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4129 - 2106. Let v = x - -444. Suppose 5*z + v = 4*j, -4*j + 0 = 5*z - 2517. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.7382 - -0.0918. Which is smaller: g or 7\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 313*o**3*v*y - 3*o**3*y**3 + 175*o**3*y - 2*o*v*y - 3*o*y**3 + 4847*v*y**3 + 2*v*y**2 wrt y?\nAnswer: -18*o**3 - 18*o + 29082*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 238667?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 107 = -3*i - 2*s, -2*i + 73 = s. What are the prime factors of i?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 5*m - 1. Let t be b(2). Let n = t + -5. Let w(u) = 4*u + 4. Let j be w(n). Solve 26 = -5*y + 3*d + d, 4*d = 2*y + j for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -720 + 752. What is the least common multiple of 16 and h?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -21*(-1 + 0)\/3. Suppose 5*k - 1 = -3*o, -i*o + 2*o + 11 = -k. Suppose -o*g = -4*r - 110, r + 32 = -2*g + 167. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 5463*b**2 + 55*b + 85. What is the hundreds digit of u(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 204*z**2 - 40 - 5 - 79*z - 3*z**2 + 243*z**2 + 108*z**2 wrt z.\nAnswer: 1104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1540703755 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222*n**3 - 677*n**3 + 223*n**3 + 229*n**3.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2. Suppose w - 6 = -4. Let p(r) = -45*r - 8 + 89*r - 45*r. Determine w*p(z) - 9*t(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28127, 56253, 84377, 112499, 140619, 168737?\nAnswer: 196853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*d**3 - 8 - 1 - 5*d**3 + (-3*d + d + 0*d)*(32*d**2 - 16*d**2 - 21*d**2) to m*d + q*d**2 + y*d**3 + c and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 148\/4 - (3 + 0). Calculate the greatest common divisor of m and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n**3 + 36*n**2 - 65*n + 61. What is c(10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0*d = 2*m - 15, 0 = -2*d + 2. Let f = -16 + m. Is 121\/3 - 6\/f a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 467399614?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 632290869*x**2 - 2 + 2.\nAnswer: 632290869*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of z**6\/120 - z**5\/30 - z**3\/2 + z**2. What is d(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8 (b) 4 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.14, -13, -0.23?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/16 and 59\/98.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1104 and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 + 53. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + l - l)*((-2 - 1 - 2)*(-4*l + 2*l + 4*l) + 3*l - l - l - 2*l + 1 - 1).\nAnswer: -22*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 214 divided by 2.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74292, 148596, 222900, 297204, 371508?\nAnswer: 445812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -50*r + 110. Calculate d(-2).\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 656 + -656.8. Suppose -a + 4 - 7 = 0. Let v = -3 - a. What is the third biggest value in v, 1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -273496690 by 27349669.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k - 1. Let a(q) = q**3 - 5*q**2 + 6*q + 5. Let g(t) = -6*t**3 + 25*t**2 - 30*t - 26. Let c(i) = -11*a(i) - 2*g(i). Let l be c(-6). Give w(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 172929.\nAnswer: -1\/57643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 6 = 3*o, -1 = -5*o - 3*l - 3. Suppose 4*u**2 + o*u**3 + u**2 - 5*u**2 - 2*u = 0. What is u?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -14b1?\nAnswer: -14b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of p**6\/420 + p**5\/105 + p**4\/84 - 5*p**2\/2 - 5. Let z(u) be the second derivative of c(u). Suppose z(m) = 0. What is m?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2252 is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20151032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 311 + 10?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/80 and -115\/12?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -23522640 (base 7) to base 9\nAnswer: -3834686","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14313 + 28625 - 14312 + 12*q.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 7*q**2 - 2*q. Let d = 3 + -1. Let j be x(d). What are the prime factors of -1 + -1 + j\/1?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.6 + 1. Let y = h - -0.6. What is the closest to -1 in -3\/5, y, -0.2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21212 - 1020112122?\nAnswer: -1020211111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35*0.4.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s**3 + 2*s**2 + 0*s**2 + 4*s**3)*(-1674 + 1674 + 1592*s)*(5*s + 0*s - 3*s).\nAnswer: -6368*s**5 + 6368*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 915691 is divided by 2180.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 2:06 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 119850 to the power of 1\/2, to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45543 is divided by 6479?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2528881959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -89265*j**3 + 154990.\nAnswer: -267795*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*m + 16 - 16 + (0 + 0 + 3 + (3 - 5 + 3)*(-2 + 3 + 1))*(m + m - 7*m) + 182 + 44*m - 182 as q + w*m and give w.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/(-6))\/(1\/15). Suppose 5*m - 9 = -3*w, -5*w = 2*m + m + 1. List the prime factors of m + 2*-3 + j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 56 - (1 + (-1 - 7) + (852 - 838)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -a, -3*a = 2*y + 3*y - 173. What is the remainder when y is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -69261 or -69410?\nAnswer: -69410","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(49) - sqrt(5929)*-4) + sqrt(49) + sqrt(539)\/(sqrt(88)\/sqrt(8)))\/(-1*(sqrt(448)*-1 - sqrt(448)) - -2*-2*sqrt(448)).\nAnswer: -47*sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 3*p + 6, -3*t + 4*p - 54 = 0. Let j be (-27)\/42*t\/24. Which is the biggest value? (a) j (b) 0.1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2378, 4757, 7134, 9509?\nAnswer: 11882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6, -15, -13083, 5, 2.\nAnswer: -13083, -15, -6, -5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4312343\/6 + 715637. Let z = h - -3077. Calculate the common denominator of z and 3\/5*(-14)\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -5*b + 2*w, b + 5*w - 5 = 6*b. Let f(s) = 2*s**2 + 15*s + 19. Let o be f(b). Let p be -2*1 - -1 - 8. Which is greater: p or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 5*o + 6. What are the prime factors of z(3)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 l, and 2 r when four letters picked without replacement from {r: 2, o: 3, x: 3, l: 5, v: 3}?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 899272884 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2c33 - 5?\nAnswer: -2c38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - j + 42. What is the remainder when j is divided by (-14)\/(-21)*(8 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ziljmzmjjjlmjjml. What is prob of picking 4 m?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25914166 is divided by 406.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 648192 + -648241.9921. Let n = f - -50. Round n to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7177.1 + 7177. Is j smaller than 3.352?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 120 + -112. Suppose g = 6*i - 2*i. Solve y = i*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 516 - 511. What is the smallest common multiple of 137 and b?\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000100011 - -1011?\nAnswer: -1000011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence st when two letters picked without replacement from ortsouv.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7 - -12 - 13) + 12. Solve 12*w - 80 = -z*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/1 - -4) + (-4)\/(-2). Let i be f\/(-2) + (-1575)\/(-325). What is the closest to -2 in -0.3, 0.3, i?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -6*u**3 + 11*u**2 + u - 4. Give b(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1534170857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 662 and 8.\nAnswer: 2648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/8030 and -113\/110.\nAnswer: 8030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 614, -2, 1\/7, 7.5, 0.1 in ascending order.\nAnswer: -2, 0.1, 1\/7, 1, 7.5, 614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -431480 rounded to the nearest one thousand?\nAnswer: -431000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((g*g*g**(5\/4)*g*g)\/g*g)\/(g**(-7)*g))\/(((g\/g**(-2))\/g)\/g)**(-26))**(-1\/8))**50 assuming g is positive.\nAnswer: g**(-3725\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 123074462?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 6*f**2 + 38*f + 161. Give i(-5).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 33 = -4*k, 5*k - y = -2*y + 46. Suppose 2*q - 3 = -4*g + k, 4*g + 16 = 0. 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 4 - -0.774?\nAnswer: 4.774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*k**2\/7 + 2533239*k\/7 - 389730\/7 = 0 for k.\nAnswer: -64955, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -3*f + 6*f - 145, 0 = 3*f + i - 169. Let g(b) = -b**2 - 22*b + 28. Let x be g(-23). Calculate the greatest common divisor of x and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.8 + -4.8. Let z be (-990)\/(-357) + 0 - 2. Let n = 18\/17 - z. Put b, -3, n in descending order.\nAnswer: n, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 201542820 and 2006?\nAnswer: 2006","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -x**4\/6 - x**2\/2 - x. Let a(r) be the first derivative of p(r). Let u = 745 + -748. What is a(u)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 20, 0.4, 0, -0.099, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (165\/45 + -1)*3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -26.8 and 1.28?\nAnswer: -34.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19837*g - 20862*g + 8200 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 6605.\nAnswer: 1\/1321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9602346 to the power of 1\/2, to the nearest integer?\nAnswer: 3099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-5)*((-116)\/(-145))\/(1\/10).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 141 and 517.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 837, 1668, 2509, 3366, 4245, 5152?\n\"Answer: q**3 - q**2 + 827*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 42 = -9*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 478842.8 minutes to microseconds.\nAnswer: 28730568000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1614417 to four decimal places.\nAnswer: 0.1614","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 3*q**2 + 34*q - 40. Let z be a(7). Solve 4*s = -10 - z for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2023 or -16195\/8?\nAnswer: -16195\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1992*b + 1986*b - 24 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-1\/5)*x*x**(2\/7)*x)\/((x*x*x*x\/x**0)\/x**(-2)) assuming x is positive.\nAnswer: x**(-88\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sllhssuhlllhhllllh. What is prob of sequence uhs?\nAnswer: 5\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.196 - 53.804. Let x = 65.2 + -66.2. What is the closest to x in 2, 3, -3, c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67.42608s to milliseconds.\nAnswer: 67426.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.1 (b) -0.3 (c) 7\/2 (d) -26799\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + sqrt(208) + 1 + -4 + (sqrt(208) + -1 + sqrt(208) - sqrt(208))).\nAnswer: -2 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, t: 3, q: 2, r: 7, f: 4}. What is prob of sequence ff?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1890672 - 32141344\/17. Factor -w*i - 24\/17*i**2 + 4\/17*i**3 - 64\/17 + 2\/17*i**4.\nAnswer: 2*(i - 4)*(i + 2)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from {j: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y, -4*c + 0*y + 52 = -y. Calculate the greatest common factor of c and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27759594 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7 - -6 - (-24287)\/44. Let k = 551 - n. What is the common denominator of k and -37\/12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 11. Let i be (1 + w)*(-1)\/3. What is the units digit of i + (10 - 3) + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + (sqrt(462)\/(sqrt(66)\/sqrt(6)))\/(sqrt(6) - 3*sqrt(54))).\nAnswer: -sqrt(7)\/2 + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 3*p = 19, -3*d + 3*p - 627 = -612 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54 - -49. Calculate the remainder when s is divided by 36.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 84816926?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, x: 2, n: 2}. Give prob of picking 1 x and 1 t.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (15\/15)\/(1 - (-1)\/(-2)). Let o(w) = 2*w**2 - 2*w - 1. Let p be o(2). Solve -4*v - v = -5*n + 25, -h*v = p*n for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*b + 60 = 24*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 - (-84 - -10))*(1\/3 - 0). Suppose 3*b = 2*s - 42, -s - 2*b = -4*s + 63. Let j = p - s. Put -2, j, 1 in decreasing order.\nAnswer: j, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}