diff --git "a/data/dm_maths/full_data_2/10560_11255.jsonl" "b/data/dm_maths/full_data_2/10560_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10560_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let t be -3 + 0 - (-1190)\/7. Let i = t - 107. Suppose -i = 9*b - 12*b. What is the greatest common factor of b and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -x**4\/8 - 2*x**3\/3 - 2*x**2. Let o be i(-3). Let f(j) be the first derivative of j**2\/2 - 7*j - 5291. Determine f(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2820810*q**2. Let w(s) = -115*s. What is w(d(v))?\nAnswer: 324393150*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = -s + 4*n + 27, 3*s = n + 88. Suppose -s*i + 16 = -25*i. What is the least common multiple of i and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 4 = -4*c, 0 = -4*i - 2*c + 9 - 3. What is the common denominator of ((-303)\/6)\/(2\/2) and 59\/(-4) - (-1)\/i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -63406 + 1?\nAnswer: -63405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/25 of a millennium in months?\nAnswer: 3360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8895171 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49085 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {c: 2, a: 4, i: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2556.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2043, -1957, -1857, -1737, -1591, -1413?\n\"Answer: j**3 + j**2 + 76*j - 2121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -44657.14155 to the nearest one thousand.\nAnswer: -45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 6*h - 3. Let j be m(13). What is the highest common divisor of 8 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8418 divided by -122\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence de when two letters picked without replacement from {d: 4, j: 4, e: 5, u: 2, a: 2}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1637.728nm to micrometers.\nAnswer: 1.637728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 95634 and 1275120.\nAnswer: 3825360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -6. Let b = 89 - 57. Suppose -31*i = -b*i + 6. Solve r*n = -0 - i for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -9 and -66\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*q = 19*q + 18. Calculate the lowest common multiple of 4 and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -g**5\/30 - 415*g**4\/12 + 416*g**3\/3 + 1165*g**2. Factor d(y).\nAnswer: -2*(y - 1)*(y + 416)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3870*m + 11939 - 116429 = 0 for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 435103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g\/(g**(-23)*g))\/g*g**(-15))\/(g\/g**(-28)*g\/(g*g**(-10\/9)\/g)))**(1\/19) assuming g is positive.\nAnswer: g**(-208\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7850*x + 3957*x - 700 = -3928*x for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.012 and -12?\nAnswer: -0.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v + 9. Let b be i(3). Suppose n - p + 9 = 3*n, 3*n - b*p = 9. Let q be n*(-30)\/36*(-6)\/4. Solve -7 = -a + 3*m + 8, 0 = -a - q*m - 25 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 3*z = 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-8)*u**(-7)*u**(2\/15)*u*u**(-7)*u assuming u is positive.\nAnswer: u**(-298\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6619.\nAnswer: 6619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Work out -0.02 * -0.42.\nAnswer: 0.0084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*s + 4*s + 4106704 + 6*s + 9*s.\nAnswer: 2*s + 4106704","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*i**3 + 0*i**4 + i**4 + 5 - 9 + 2*i + 5*i**4 - 5*i**4 + 2*i**2 in the form z*i**3 + k*i**4 + l*i**2 + p*i + m and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80762 by 12.\nAnswer: -40381\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-68)\/(-14))\/((-36)\/(-90)*20*9\/(-126))?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 10981041.3222153+-0.2\nAnswer: 10981041.1222153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 8165.71g?\nAnswer: 0.00816571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and 11\/6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 112506055 + -90454884701\/804. Let x = 1\/804 - f. Suppose -122 + 22 = -4*g + 4*b, -10 = -g - 4*b. Is g smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**3 + v**2 - 4*v - 5. Suppose 16*n - 22 = 26. Let f(z) = -z**3 - 2*z - 3. Suppose a = -3 - 2. Determine a*f(d) + n*m(d).\nAnswer: -d**3 + 3*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53389*v**2 - 7652*v**2 + 17010*v**2 + 3*v + 3942*v**2.\nAnswer: 66689*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**3 - 68508*r**2 - 391043655*r + 782361366 = 0. What is r?\nAnswer: -11419, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 4132*i - 4129*i + 2*t + 10, 2*i + 4*t + 10 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2618, -5675, -9176, -13121?\n\"Answer: -222*z**2 - 2391*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z + 13*z - 52 = l, 4*z = -l + 47 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.8 - -4.2. Let v = -4 + p. Let x be 3 + (-150)\/27 + 3. Which is bigger: v or x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 5*m + 52, -4*d + d + 2*m - 67 = 0. Let q = 24 + d. Solve -2*g = 4*h, 1 = -0*h - q*h - g for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2, 1.4825, 0, 5?\nAnswer: 1.4825","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -499550 rounded to the nearest one thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -16*o + 100. Let c be y(8). Let t(r) = -r**3 + 9*r**2 - 6*r - 8. Let p be t(6). Let m = c + p. Is 6 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 250587?\nAnswer: 3, 9281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 11*b - 623. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.06, 7, -900, 1\/8 in ascending order.\nAnswer: -900, -4, 0.06, 1\/8, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, u: 2, s: 2, i: 1, b: 4}. What is prob of sequence li?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.17533687 to five dps.\nAnswer: 0.17534","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.0333305 * -4\nAnswer: -0.133322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*w - 12*w - 14*w - 15*w - 14*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m - 148 = 61. Let k(w) = w**3 + 19*w**2 - 2*w - 35. Let h be k(m). Suppose 372 = h*l - 4*o, 4*o = 2*l + 3*l - 612. Does 6 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 21304?\nAnswer: 21313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = g + 3*q - 3, -15 = -5*q. Calculate the remainder when 15 is divided by 5 - 3 - (-3 - g).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 187\/69240 and 53\/16.\nAnswer: 138480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -153*g**2 - 338. Let v(o) = 3*o. Determine v(p(a)).\nAnswer: -459*a**2 - 1014","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-50)\/150*(1 - 229). Suppose 2*y - 5*a = 59, -22*a + 26*a = -4*y + q. Sort -4, y, -2.\nAnswer: -4, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 78568 + 2?\nAnswer: 78570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + 19. Suppose 6 = 2*m + j. Let o(v) = -8*v - 44. What is the smallest common multiple of o(m) and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1921, 1713, 1493, 1255, 993, 701, 373, 3?\n\"Answer: -a**3 - 201*a + 2123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1.53 (b) -5 (c) -120 (d) -1 (e) 0.4 (f) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1588 + -1719. Sort 0, -1, h in descending order.\nAnswer: 0, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6928 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: Evaluate ((-3)\/(525\/140))\/((-105)\/50).\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 + 0.26. Let m = -3.04 - t. Which is the second biggest value? (a) -1 (b) m (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 11, v: 7, l: 2}. What is prob of picking 2 l?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 870103838 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: 1215 * 15\nAnswer: 18225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 184 = 4*q - 632, -4*q = -4*a - 824. Solve -q*s = -207*s + 25 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a kilogram in grams?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 50 - (51 + 7 + 70)\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, 1, -403, 2, 0.2, 1\/3, 0 in increasing order.\nAnswer: -403, 0, 0.2, 1\/3, 1, 2, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -u - 0. Let r(p) = 1. Let k(z) = -4*z - 4. Let d(v) = u*r(v) - k(v). Let a(n) = -2 - 11*n - 52 + 54. What is d(a(o))?\nAnswer: -44*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 - (2 - 3\/3). Let h = -11680\/3 + 57299\/15. Let l = -74 - h. Which is the nearest to l? (a) 0.3 (b) 11 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-1))\/(((-795)\/23532)\/((-40)\/(-16))).\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*2*(2 + 1*sqrt(13) + ((sqrt(104)\/sqrt(4))\/sqrt(2))**2).\nAnswer: 12*sqrt(13) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 2*l - 27, 13 = 2*l - 4*k - 9. Is (0 - l)\/((-3)\/9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(1\/50)*m**(-6)*m)\/(m**(1\/3))**21)**(3\/22) assuming m is positive.\nAnswer: m**(-1653\/1100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 8) to base 4\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 - 21. What is the hundreds digit of 289 - 11 - (i + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 653 + -656. Which is the smallest value? (a) r (b) -0.58 (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6757185?\nAnswer: 3, 5, 450479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29591 is divided by 870.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.496035l in millilitres?\nAnswer: 7496.035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 225, 880, 1965, 3480, 5425, 7800, 10605?\nAnswer: 13840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6*(2 + -3)\/3. Suppose 0 = 5*o - 5*a - 15, 6 = 2*o - 3*a - 1. Is o <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, s: 1}. Give prob of sequence dd.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 211 = 4*c. Suppose -3*m - 2*s + 0*s = -39, -4*m + s = -c. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 144 - 132. Let z = -8 + x. Let h = -0.5 - -0.5. Which is the nearest to 6? (a) h (b) 2\/5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.301, 0.5, -3\/20, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 3 - 2855*j**3 + 1 + 3613*j**3.\nAnswer: 758*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Total of 29 and -39058578.\nAnswer: -39058549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -59121 by 19707.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*d + 310 - 238 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5066682*q**4 + 5*q**2 + 772280*q wrt q?\nAnswer: -121600368*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*v + 3*o - 2, -v = 4*o + 6. Suppose 0 = v*j - 9 + 3. Put j, 2, 0 in decreasing order.\nAnswer: j, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 - -61. What is the remainder when 91 is divided by m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (24\/(-16) - 0) + (-97)\/(-2). Suppose 0 = 2*n + 31 + 43. Let l = z + n. Solve -l = -4*k + 6 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 41*g + 15203. Give w(-107).\nAnswer: -633","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -6, -2*z - 2*y = -z + 2. Let k = -2.8 + 3. Which is the third smallest value? (a) 2\/15 (b) k (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -6*r + 1. Let k(j) = -39*j - 26. Let s be k(-4). Suppose 0 = -3*b - 10*b + s. Calculate the remainder when v(-8) is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -4*p. Let b be q(-1). Suppose 5*r = f - 4, b*r - f - 8 = -3*f. Suppose a - 2*v - 68 = r, 3*a = v - 0*v + 194. Is 16 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*k**3 + 4*k**2 - 2*k**2 - 2*k**2.\nAnswer: -11*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -395088 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*y + 66 = 0. Suppose -10*i = -386 - 114. Suppose 0 = 3*d - y - i. Is d a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0619643 + 77.15076?\nAnswer: 77.0887957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3 = h, -2*x = 2*x - 5*h - 12. Suppose -x*b = -8*b - 80. What are the prime factors of ((-5)\/4)\/(2\/b)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 5*a**2 - 2*a - 7. Let w be u(-7). Suppose 4*m = -m + w. List the prime factors of m.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40.4 + -45. Let w = 5 + c. What is the biggest value in w, 3\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 2*n**2 - 2*n + 425. List the prime factors of g(0).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-2\/29)*j*j*j*j*(j*j\/(j**(3\/7)\/j))\/j*j)**(-7\/6)*(j*j**1*j*j*j**(10\/9))**13 assuming j is positive.\nAnswer: j**(30115\/522)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 5270901.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -48, -89, -130, -171?\nAnswer: -212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3363 is divided by 153?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2011000201 - 20301?\nAnswer: 2010313300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.2 - 3093.406?\nAnswer: -3107.606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w**4 - 2408*w**3 - 25426*w**2 + 27236*w - 6960 = 0. Calculate w.\nAnswer: -290, -12, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5*n = 14, 3*g - 6 = -5*n + 23. Suppose 2*h + 6 = -l, g*l = l. Does 8 divide (0 + -21)\/(h\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -42 in 557, -1, -17\/7?\nAnswer: -17\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 607*k - 602*k + 58 - 115 + 57.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.00411 - -0.99589. Which is the second smallest value? (a) 3 (b) -1\/2 (c) -0.032 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*g + 3*v, 16 = -4*g + 2*v + 40. Calculate the greatest common factor of 44 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -707 (base 15) to base 7.\nAnswer: -4420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, -7, -879?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -2 + 5 + -4 + 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (71 - 37 - 36)*(2*j - 3*j - 2 - 3*j - 4*j + 2*j + j + (-3 + 6 - 1)*(0*j - 4*j + 2*j) + 0*j + 2*j + 0*j + 5*j - 4*j - 2*j).\nAnswer: 16*j + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -150\/1584949?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.19 in -4, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, u: 2, x: 6, z: 3, s: 4}. Give prob of picking 2 s.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 321479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/356156 and 12\/2317.\nAnswer: 2493092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/21*72\/(-48)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, c: 3, k: 6, v: 3, x: 1, e: 2}. What is prob of sequence vkxu?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3 - 199*h**2 + 10735*h - 81225.\nAnswer: (h - 95)**2*(h - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001 + 101?\nAnswer: 10110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 187872 divided by 456.\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 944.403 to zero decimal places.\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - h - 16, 2*h = 12 - 4. Solve 4*d + 0*d + 8 = -2*k, b*k + 16 = 5*d for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13574 and -3.55.\nAnswer: -48187.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7043806 to the nearest integer?\nAnswer: 2654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 375 - 17 = -36*d for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28630 and 50030.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 - 6*h**2 - 8*h.\nAnswer: -h*(h + 2)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37141, 74299, 111457, 148615, 185773?\nAnswer: 222931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15253746161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10965.\nAnswer: 3, 5, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 136 = -2*h + 76, -5*h = -5*f + 205. Suppose -2*m + f = 10. Suppose -1 = 5*d - m. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 11981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.2 + -4.51. Which is greater: t or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, x: 4, i: 2, o: 9}. What is prob of picking 2 o, 1 i, and 1 v?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5 = 0, 4*w + 0*a + 5 = a. Suppose -476 = -4*d - w*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 93 = -t, 8 = -5*s - 12. Suppose 5*z = 4*z + t. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 418, 449, 530, 685, 938, 1313, 1834?\n\"Answer: 4*w**3 + w**2 + 413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.12 and 1.01807974?\nAnswer: 1.13807974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5726, 45873, 154850, 367073, 716958?\nAnswer: 1238921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.01, -1\/3, -0.5, -0.16?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 4*x - 24 + 2 - 22 - 49 as l*x + u and give u.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 123698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*g - 399 - 285. Suppose g - 26 = 5*t. Solve -u = -3*u - t for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**3 + 3762*n**2 - 52227*n + 182280 = 0 for n.\nAnswer: 7, 1240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**3 + 13316*n**2 + 9707352*n - 46242239184 = 0.\nAnswer: -4038, 1418","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**(3\/5))**(2\/77))**(-2\/25))**(2\/5))**16 assuming f is positive.\nAnswer: f**(-384\/48125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 105.381 - 0.081416?\nAnswer: 105.299584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -3*d**5\/8 + 63*d**4\/8 - 183*d**3\/4 - 45*d**2\/2 + 837*d - 1620 = 0.\nAnswer: -4, 3, 6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 30824 (base 13) to base 14\nAnswer: 23a2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 92053.28 minutes in microseconds?\nAnswer: 5523196800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -955, -956, -959, -964, -971, -980?\nAnswer: -991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22032 - -20?\nAnswer: -22012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.623 (b) -0.6088 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 12. Let c(f) = f**3 - 27*f**2 - 33*f + 196. Let x be c(28). What is the remainder when 82\/3 - x\/24 is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -4, -15 in increasing order.\nAnswer: -15, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5602010 + 1?\nAnswer: -5602006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3574 + 19563. Let p be 3\/22*117225\/(-1). Let s = p + i. What is the common denominator of s and -61\/14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**2 + 8*z**2 + 17356239 - 17356240.\nAnswer: 4*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -9. Let c = 91 - 79. Suppose -c = -2*g + q. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10852 = -2*x + 35726. Suppose -x = -17*m + 16372. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8113 + -8117. Sort 1\/5, 10, k, -0.41 in ascending order.\nAnswer: k, -0.41, 1\/5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3871, -3251, -1565, 1721, 7141, 15229?\nAnswer: 26519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.24 + 0.26. Sort -5, m, 0.4 in decreasing order.\nAnswer: m, 0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21331 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 = 42*x - 35*x. Let s = 144 - 74. What is the highest common divisor of x and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1060 - 260 = -5*c. What is the common denominator of -1*9\/15 + 834\/c and -47\/60?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5\/3, 3, 6, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 21*b + 92. Let a be n(-17). Solve -3 = 7*x - a for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*n**2 + 81162 - 81162 + 0*n**2.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence er when two letters picked without replacement from erer.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*f**3*o*q - f**3*o*y + 81*f*q*y + 4*o*y - 42*o + 6 wrt y?\nAnswer: -f**3*o + 81*f*q + 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sswwwwwssswwwwwwws. Give prob of picking 3 s.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 2*c**2 - c. Let t be d(-1). Let v = 2.12 + -0.12. What is the nearest to t in 1, -1\/2, v?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16.76 - 0.24. Let h = -17.114 - a. What is h rounded to two dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from prdipdit. What is prob of picking 1 d and 1 p?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jjjjjjjejjjjj?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, 0.5, 0.82, 4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7265593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -4*c**6\/75 + c**5\/5 + 11*c**4\/15 - 8*c**3\/3 - 24*c**2\/5 - 182*c. Let j(u) = 0. Calculate u.\nAnswer: -2, -1\/2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*d - 6940 = 0. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -313132 (base 9) to base 3.\nAnswer: -100110011002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 2*f + (-2 + 2 + 1)*((6*f - f - f)*(6 - 15 - 21) - 3 + 3 - 2*f).\nAnswer: -120*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 879, 4196, 9857, 17856, 28187?\n\"Answer: -d**3 + 1178*d**2 - 210*d - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-6) - (-16)\/(-6). Let b(u) be the third derivative of u**5\/60 + u**4\/24 + u**3\/3 + 74*u**2. What is b(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 30\/14) + 6 - (10 + -8).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 4*y, 4*q = -18 + 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 32922729?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 a when two letters picked without replacement from xxbxgaassjxxsagxbxxa?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -38448772*a*m**2 - 2*a*m + 64662348*a wrt m.\nAnswer: -76897544*a*m - 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -40081 and 4.\nAnswer: -160324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45 + -4. List the prime factors of m.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(sqrt(63)*4).\nAnswer: sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, 5, 4\/11?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*r - r - 3 - 3*r + 7*r to the form c + g*r and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 121, -29, 918 in descending order.\nAnswer: 918, 121, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/2*(-1)\/2. Let z = 0 - -0.2. Let q = 0.028 + -2.028. What is the third biggest value in q, z, o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2024 divide 99397467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 3*r**2 - 4*r + 3. Let x be m(4). Suppose -3*o - 198 = -2*s, -s - o = x*o - 99. Calculate the highest common divisor of 9 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/1 - (4 + 2). Let s = w - -10. Suppose s = h - 3*l - 2, -l - 10 = -3*h. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4669 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4968719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**(-1\/2))**(-25))**0*(k*(k**(-6)\/k)\/k)\/((k\/(k*(k*k**(-1\/2)*k)\/k))\/k*k)*((k\/(k**(-1)\/k))\/k)\/(k*k\/k**1*k) assuming k is positive.\nAnswer: k**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 21*p**2 - p + 25. Let w be c(21). Let j(s) = 5*s**2 - 2*s - 1. Let h be j(1). Solve 2*d + 12 = -2*d - w*t, 3*d - h*t = 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*((-1606)\/365)\/((-16)\/(-10)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*w = -4*w - 14, -4*w = -v + 22. Suppose v*i = -0*i. Solve -4*m + 4 = -i*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.787 - -0.293. Let q = x + -10. Let k = -0.12 - q. Which is the third smallest value? (a) k (b) -0.4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**(-3\/17)*x*(x*(x**18\/x)\/x)\/x assuming x is positive.\nAnswer: x**(309\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(2057) + -2)**2 + (-2 + sqrt(2057) + sqrt(2057))*2 + (-3 + -1*sqrt(2057) + sqrt(2057) - 4*(sqrt(2057) + 2 - sqrt(2057))).\nAnswer: 2041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 7*x - 1. Let i be g(3). Suppose 6*b = 8*b - 28. Let k = b - i. What is the highest common factor of k and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of 29403*i**6\/80 - 17721*i**5\/8 + 223*i**4\/3 - i**3 + 776*i**2. Factor t(d).\nAnswer: (d - 3)*(297*d - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -3 (b) 0.13 (c) -270 (d) 0 (e) 3 (f) -2\/241\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*q - 9 = 103*q + 5*l, 0 = -q + 5*l + 21. Let z = 4.8 + 0.2. Let r = z + -2. What is the third smallest value in q, r, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 111378 + -43954. What are the prime factors of l?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1\/3, -44 in decreasing order.\nAnswer: 1\/3, -5, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1281 + -1303. What is the fourth smallest value in -1.1, 3, 2\/7, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*h + 14*h - 35*h)*(1 + 0 + 0)*(2 + 6 + 0)*(16 - 6 - 4) to the form f + l*h and give l.\nAnswer: -624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5971.027 millennia in years?\nAnswer: 5971027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43419, 86988, 130557?\nAnswer: 174126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9*(224\/(-12))\/(-14). Let i(h) = -2*h - 9. Give i(j).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/6 + 363*a**2 + 1450*a + 4348\/3.\nAnswer: (a + 2)**2*(a + 2174)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -b - 140. What is the remainder when b is divided by (24\/18)\/((-4)\/(-72))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 7*w**2 + 6*w + 11. Let f be o(8). Let p = 35 - 25. Let u = p - 10. What is the third biggest value in 1, f, u?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.12138 + -0.032345.\nAnswer: 4.089035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 638114.3ug in nanograms?\nAnswer: 638114300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15304 - 15306. Let j(a) = -a**2 - a. Let y be j(-1). Let n(s) = y*s - 1 + s + 2. Give n(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**4 + 4*a**4 + a**4 + (-673*a + 16*a**4 + 673*a)*(-3 + 1 - 1).\nAnswer: -46*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 + 14*c + 13. Let o be i(-13). Determine w so that o*w**3 + 0*w + 1\/4*w**2 - 1\/4*w**4 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 9:40 PM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(68)*1 + 6*-1*sqrt(68))\/(sqrt(1936) - -1*sqrt(1936) - sqrt(16)).\nAnswer: -5*sqrt(17)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 574071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 56, -22, 1, 19 in descending order.\nAnswer: 56, 19, 1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21\/415 - 2353\/48140. Find the common denominator of x and -27\/290.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51 (base 7) to base 4.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -14\/169?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11946, -47990, -108064, -192168?\nAnswer: -300302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 843993018.\nAnswer: 2, 3, 11, 743, 5737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -962082\/13 or -74006?\nAnswer: -962082\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2565\/20)\/27)\/((247\/(-13))\/76)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16.74 + 93.74. Let w = 642.1 - 565. Let u = w - l. What is the closest to 2\/5 in -5, 0.4, u?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 7*w**2. Let s(c) = 45*c**2 - 185*c - 9. What is s(o(t))?\nAnswer: 2205*t**4 - 1295*t**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 8 - 6*a**3 - 8 - 2*a**3 - 5 - 5*a. Let r(n) be the first derivative of 9*n**4\/4 + 3*n**2 + 6*n + 493. Determine 6*g(w) + 5*r(w).\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -12006 less than -12009?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/9)\/(2 - (-16)\/(-12)). Let g = -0.1 - 0.08. Let c = g - 0.32. What is the closest to 1 in d, c, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f - 17. Let x be y(8). Differentiate -q**4 + 68 + 0*q**2 + 6*q**2 + 13*q**4 - x*q**2 wrt q.\nAnswer: 48*q**3 - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 34\/(-24) - 4\/(-6)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 16. Let r(h) = -h**2 - 13*h - 26. Let q be r(-9). Suppose 0 = -13*x - q*x + 69. Solve 2*m + x*w + 19 = 0, m - 5*w - j = -m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, g: 3, t: 6}. Give prob of picking 2 y and 2 t.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10559249.\nAnswer: 10559249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of t*y**4 - t*y**2 + 35*t*y + 109*t wrt y.\nAnswer: 4*t*y**3 - 2*t*y + 35*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -11718022, -11718017, -11718012, -11718007?\n\"Answer: 5*s - 11718027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -254 - -266. What is the remainder when 14 is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -976.08757 and 0.\nAnswer: -976.08757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -dcf2b - -4?\nAnswer: -dcf27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 415948 is divided by 5616.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 7:33 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j*j**(-1\/3))*j**10)\/((j\/(j\/((((j*j**3)\/j)\/j)\/j)))\/j**(-6)) assuming j is positive.\nAnswer: j**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 30 = -i. Which is the third smallest value? (a) i (b) -1 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 20 = 2*l, -5*l - 3*h - 16 = h for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*o**4 + 0*o**2 + o**2 - 45*o + 45*o - 2 to q + c*o**2 + l*o + g*o**4 + m*o**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -2.9, 3\/4, 2.6, -840\/31?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 21 = -39. Suppose -19*c = -y*c + 2. Solve -4*u - 3*d = -c*d - 16, -4*d = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-5 + 6*sqrt(1573)*-2)*-5)**2 + 2.\nAnswer: 26400*sqrt(13) + 5663202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 3*f**2 + 4*f - 4. Let u(r) be the second derivative of r**5\/20 - r**4\/4 - 5*r**3\/6 + 5*r**2\/2 - 81*r. What is -6*u(k) - 7*z(k)?\nAnswer: k**3 - 3*k**2 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 7423?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 348608 to the nearest 1000.\nAnswer: 349000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 31*b - 4. Let d(t) = 30*t - 3. Let q(r) = -6*d(r) + 5*g(r). Let x be q(-2). Calculate the greatest common factor of 16 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1, -14, 44, -34, 1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.024057 + -0.03773. What is b rounded to 4 dps?\nAnswer: -0.0137","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 59, 78, 93, 104, 111?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -61 in -0.08, -3, 2, 2\/15, -422.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1077 - 4551. Round j to the nearest one hundred.\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.19 (b) 0.08 (c) -0.1 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*i - 23978 + 31118 = 0 for i.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37083941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 3*h - 2*h)*(405*h - 109*h + 218*h - 2 - h + 2 + (-3 + 3 + 2)*(-h + 4*h - h)).\nAnswer: -1551*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3621460 (base 9) to base 13.\nAnswer: -539562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 353*l + 1457. Determine s(-4).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*v**2 + 1739212*v + 496920.\nAnswer: -4*(v - 62115)*(7*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -2633*d**5\/30 + 651*d**3\/2 - 9*d**2 - 7*d - 1. What is the derivative of t(y) wrt y?\nAnswer: -10532*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1605 greater than or equal to -1604?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -294, -579, -1022, -1623, -2382, -3299?\nAnswer: -4374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3*r**3 + 26*r**2 - 51*r - 4. Let t(g) = -g**3 + g**2 + g. Let s(b) = i(b) - 2*t(b). Let l be s(22). What is l rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36 - -21. Let o = u + 3. Sort -2, 0, o, 2 in decreasing order.\nAnswer: 2, 0, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**2 + 0*k**2 - 46 - k**2.\nAnswer: k**2 - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**2 + l**3 - 2 + 7 + 722*l**4 - 325*l**4 - 3*l - 391*l**4 as t*l**3 + f + q*l**2 + p*l + y*l**4 and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -w - 0*w. Let m = -814 + 815. Solve -4*j + m = w for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kuuofgf. Give prob of sequence fof.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19742 + 19741 + (111 - 0).\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1592581391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 7*f**2 + 2*f + 9. Let y be w(2). Let q be (21\/y - -3)\/2. Put 5, -2, 1, q in decreasing order.\nAnswer: 5, 1, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36947, -295360, -996767, -2362664, -4614547, -7973912, -12662255?\nAnswer: -18901072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, l: 2}. Give prob of picking 1 l and 2 i.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -50*a**5\/13 - 20690*a**4\/13 - 1502028*a**3\/13 + 6758296*a**2\/13 + 6122320*a\/13 + 1272000\/13 = 0. What is a?\nAnswer: -318, -100, -2\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-2))\/(-14881 - -14921)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109957301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48.7 - -324.3. Let f = g - 372.6. Which is the biggest value? (a) -0.2 (b) -2 (c) f (d) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**4 + 4640*j**3.\nAnswer: 5*j**3*(j + 928)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*k + 0)*(2*k - 2*k + 2*k**2) - 9*k - 12*k**3 + 9*k.\nAnswer: -16*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 9*v + 1. Let h be t(-9). Let k = 0.3 + 4.7. Let n be (-2)\/4 + (-2)\/12. What is the closest to 0 in k, h, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.07969 millilitres to litres.\nAnswer: 0.04407969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.4 + -8.8534?\nAnswer: -5.4534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7180 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 33545791549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 3*c**2 + 2. Let b be k(-3). Let r = 4 - b. Suppose -r*u + 52 = 2*u. What is the remainder when 24 is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 12 (b) -0.2 (c) -0.5 (d) 7 (e) 1\/7 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2970655 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*c*g**3 + 78*c + 303*g**4 + 216 wrt g.\nAnswer: -24*c*g**2 + 1212*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1246, -4858, -10880, -19312?\nAnswer: -30154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**8)**36)**(-4\/3) assuming d is positive.\nAnswer: d**(-384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/l**(-5\/6)*l*l*l*l)\/l**(-4))\/(l*l**0)**(2\/57))**(-2\/75))**(-31) assuming l is positive.\nAnswer: l**(34627\/4275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 7*y + 61. Let t be v(-9). Which is the third smallest value? (a) -3\/8 (b) t (c) -17 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.102223 to 1 dp.\nAnswer: 10.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 + 40. Suppose 0 = -5*j - 2*v - 42, -j - 3*v - s = -7. Let k(y) = y**2 + 11*y - 8. Give k(j).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 - 38. Let j(b) = b**3 - 8*b**2 - 2*b - 12. List the prime factors of j(k).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + (-24)\/4)*((-8 - -5) + 0). Solve -p = -t - 3, 5*t - 5*p = -10*p - s for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11.82 - -0.18. Let p = 28 - m. Let n = p - 16.000009. Round n to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291291 is divided by 58241?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 4 + 9 + (-6 - 2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -73.01 + 73. Is j less than or equal to -0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -368094.3 and 17.\nAnswer: -6257603.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31\/1500 - -203\/750. Suppose 75*m + s*m**3 - 250 - 15\/2*m**2 = 0. Calculate m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7955 to the nearest one hundred.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5 = 0, -q + 14 = -0*x - 3*x. Let t = q - 7. Suppose 5*w + 5 = -0*w. Sort t, w, 0 in descending order.\nAnswer: t, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**3\/3 - 16*l**2 + 238*l\/3 = 0.\nAnswer: 0, 7, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18370240?\nAnswer: 2, 5, 7, 59, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*u + 4156 - 1249 = 0. Suppose -3*y = -49 - 200. Let x = u + y. Calculate the greatest common divisor of x and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.2 + 1. Which is the closest to 1? (a) p (b) -1 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 10:29 AM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 217 divide 3383898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**4\/8 - 19*c**3\/8 + 2*c**2 + 9*c\/2 = 0.\nAnswer: -1, 0, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (163 + 15*g - 163)*(-103 - 167 + 148).\nAnswer: -1830*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1832447342.\nAnswer: 2, 11, 83293061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72443?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 0 + -106 - (-1142 - -1124)) + 14?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, l: 6}. Give prob of sequence lyyy.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4)\/(g**(-3\/13)\/g))\/(g\/g**(-2\/5))**(1\/9) assuming g is positive.\nAnswer: g**(-1711\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 84\/18*(-72)\/(-21)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37928 and 96?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6*1\/(-6))\/1)\/(2\/(-18))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 47369 and 4690?\nAnswer: 473690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*t = -o + 6, o + 33 - 26 = -2*t for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) -1\/15 (b) -14 (c) -37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*r + 810 = -81*r. Solve 18 = r*t - 18 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 5 - 15 = 0, 54325 = 3*s + 5*i. Round s to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a century in months?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216 = 11*i + 205 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -512028 = -2580*i - 321*i - 1096*i - 744*i for i.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*h**3 + 468 + h**3 + 466 - 1404 + 470.\nAnswer: -9*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 divided by -48?\nAnswer: -73\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.16 + 0.04. Let h = q + -0.2. Let f = -4 - h. Which is the third biggest value? (a) f (b) 2\/7 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 2*b = -4 - 2, 0 = 4*d - 5*b + 15. Let k(i) be the first derivative of -5\/3*i**3 + d*i - 2*i**2 + 4. What is the second derivative of k(j) wrt j?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -751618b?\nAnswer: -7516188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1742179 + -1?\nAnswer: -1742180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, -1\/4, 0.4, -4\/7 in increasing order.\nAnswer: -4\/7, -1\/4, -2\/17, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (-2 + 6) - -2. Let z(w) = -4*w - 3. Suppose 5*d + 5 = -b, 2*d + 2*d = -8. Let k(x) = -9*x - 7. Calculate b*z(y) + l*k(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 5*y + 7. Suppose 6 = 3*s - 2*x, -3*s + 7 + 17 = 4*x. Let g be f(s). Solve -2*o + 12 + 5 = -g*z, 35 = 5*o - 5*z for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.5 (b) -4 (c) 0 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30424 (base 7) to base 2.\nAnswer: 1110011111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22.00112 - -22. Round w to 4 dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, m: 2, q: 1, d: 4}. What is prob of picking 2 m?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (2 - 4) + 6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*y**3 + 0*y + 0 - 1\/4*y**2 - 1\/4*y**4.\nAnswer: -y**2*(y - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1010 - -13?\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.7 + -1.3. Is -1 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -569*h**3 + 7 + 901*h**2 - 901*h**2 - 18 + 11.\nAnswer: -569*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 929 is divided by 313?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 24 = -4*y, d = -49*y + 46*y - 14. Put -39, y, -4, 3 in ascending order.\nAnswer: -39, y, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 + 87*b - 130. Determine x(-45).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 6*t**2 - 3*t - 1. Let d(j) = 10*j + 2 - 4 - 2 - 8*j**2 + j**3. What is the remainder when d(7) is divided by v(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10418045 by -1.\nAnswer: -10418045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in -0.1, -21\/2, -0.2, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(88)*2 + sqrt(88) - sqrt(88))\/(2*sqrt(18)*2)*6*-3)**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7120.\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from rrcrcc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 182961 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 n(x) = x**3 - x**2 - 1. Let t(h) = h**3 + 4*h**2 - 6*h + 17. Let z(a) = -a**3 - 8*a**2 + 11*a - 32. Let g(k) = 11*t(k) + 6*z(k). Calculate g(l) - 4*n(l).\nAnswer: l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*x + 3*z, -2*x - 2*x - 5*z = -3. Suppose 2*n = -m - 4, -x*n = 2*m - 3*m - 4. Suppose -9*a + 10*a - 3 = 0. Sort a, n, -1 in ascending order.\nAnswer: -1, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 7*q - 5*q - 48, -56 = -4*u - 4*q. Let j be (4\/(-10))\/(12\/u). What is the smallest value in -5, -4\/3, j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k. Let d(w) = -410*w**2. Calculate d(a(h)).\nAnswer: -410*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -48 - -45. What is the third biggest value in 0.3, h, 5, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1, 44, 117, 220?\n\"Answer: 15*w**2 - 2*w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (8 - 8) - (0 + 3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3251.1 take away -3334.04?\nAnswer: 82.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 54 = -4*c. What is the second derivative of 8*n + 5*n**2 - 12*n + c*n + 12*n**2 wrt n?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 48\/(-9)*-3 + 3. Let v = n + -14. Suppose 5*h = -3*m + 140, -m - 3*m + 235 = -3*h. What is the highest common divisor of v and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 2, -5\/4, -0.058?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5\/2, 353, -1035\/2, 2\/5?\nAnswer: 353","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20467 = -15*z + 130133. Let m = -5634 + z. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one quarter of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.6347 decades in months?\nAnswer: 6916.164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 564 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -1\/24*i**4 + 0*i + 0 - 157*i**2 + 0*i**3. Let f(w) = 4*w - 5*w - 11*w. Give f(z(l)).\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96000 is divided by 192.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38 - -35. Let b(r) = -2*r**2 + 5*r + 5. Let v(x) be the first derivative of x**3\/3 - 3*x**2\/2 - 3*x + 2. What is c*b(n) - 5*v(n)?\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -11*g - 47. Let k be h(-4). Let y(z) = -6*z - 43. Let l be y(-7). Put -4\/3, k, l in decreasing order.\nAnswer: l, -4\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -182*c**6 + 5*c**5 - 196*c**3 + 2*c**2 - 5958*c - 1 wrt c?\nAnswer: -21840*c**3 + 300*c**2 - 1176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 5*b**3 - 40*b**2 + 33*b - 267. Determine m(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 4*r. Suppose -q + 5 - 8 = r. Let f = 39 - q. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -899407360 rounded to the nearest 100000?\nAnswer: -899400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -148.6608 rounded to one decimal place?\nAnswer: -148.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 7:11 PM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 14 + 11 = 5*k, 3*p = 3*k + 9. Suppose 0 = -a - 2 - k. Let c = -2 - a. Solve -3*y - 3 = z - c, 4*z - 7 = 3*y for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 - 2*w**2 - 2*w**2)*(-85 + 45 + 142) + 4*w**2 - 4*w**2 + 2*w**2 - 3*w**2 + 2*w - 2*w.\nAnswer: -103*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*q**2 - 21571 + 21569 - q - 2*q**3 + 71*q**2)*(q + 1 - 1).\nAnswer: -2*q**4 + 54*q**3 - q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38328867873 - -38328867673.00000257. Let v = z + 200. Round v to seven dps.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of n**5\/30 + 7*n**2. Let b(a) = 2*a**2. Calculate j(b(z)).\nAnswer: 8*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 229934 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 34\/3. Factor 1\/3*y**5 + 0 - y**4 + y**3 + 0*y - o*y**2.\nAnswer: y**2*(y - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0 + 1 = 0. Let d be z\/(4 + -2 - 1). What is the smallest common multiple of (4*d*-1)\/1 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 3:15 AM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 88*s**2 - 466*s + 10. Let f be y(-5). Solve -5*q = -10, -2*q = -5*x + 3*q + f for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 193 + -2007\/10. What is the common denominator of 91\/4 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13113 (base 8) to base 13.\nAnswer: 27a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 28. Is (-12)\/(-15) - 2973\/u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o + 5. Suppose -4*z = 69 - 53. Give m(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1516.192 take away -105?\nAnswer: 1621.192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 2*b - 10, -3*b - f - 5 = f. Which is greater: b or -0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 88, 129, 170?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of x**7\/70 + 31*x**4\/24 - 26*x**2 - 2*x. Find the second derivative of c(p) wrt p.\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 355222944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/13260 and 53\/850.\nAnswer: 66300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (83\/35 - 4\/(-20)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 1. Let i(h) = -h - 3. Let a(o) = i(o) + 4*l(o). Determine a(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.34 minus -25?\nAnswer: -10.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1144197?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*i**4 - 3*i**3 + 0*i**2 + 3*i + 3\/2.\nAnswer: -3*(i - 1)*(i + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.9 - 0.1. Let u = -11.7 + 15. Let t = u - 3. Which is the second smallest value? (a) j (b) -5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 divided by -2?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2223323 - -115?\nAnswer: 2223442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/5 (b) -0.2 (c) -5\/26 (d) 2 (e) -34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -p + 81, b = p + 4*p - 424. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1010 + -1?\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 101.929 - 102. Do p and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 10*t**2 + 10*t + 107. What is q(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2*w - 24650, 4*z - 51602 = 4*w - 2294. Round z to the nearest one hundred.\nAnswer: 12300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*c**4 + 4*c**3 - 646506*c**2 + 314984442*c wrt c.\nAnswer: -72*c**2 + 24*c - 1293012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c4 + 100?\nAnswer: -c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 0*w - w - 200 - 33*w**4 + 29*w**4 + 3*w - 56*w**4 wrt w?\nAnswer: -240*w**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17128028.\nAnswer: 2, 4282007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/13345467 and -17\/456.\nAnswer: 106763736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -180360 by -540.\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e - 27bc?\nAnswer: -27ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5894, -5868, -5842, -5816?\nAnswer: -5790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**7)**(-16\/3)\/(y*(y**(1\/11)*y)\/y*y**11))**(-3\/10) assuming y is positive.\nAnswer: y**(1631\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4d14788 - -1?\nAnswer: -4d14787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y - 26. Let x(t) = 3*t + 51. Determine -5*h(f) - 3*x(f).\nAnswer: f - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(150)\/sqrt(5)*-2)\/(5*sqrt(6)*3).\nAnswer: -2*sqrt(5)\/15 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t + 3. Let z be j(-2). Let p be (40\/(-42) + 1)\/(24\/(-144)). Which is the third biggest value? (a) p (b) z (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2305 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 - -3)\/(4\/(-6)). Suppose 3*x - w*a - 32 = -5, -3*x + 39 = 3*a. Suppose 46 = j + x. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3118 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7684900 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**2 - 165*m**4 + 163*m**4 - m**3 - 21*m + 2 - m**2 to the form g*m**2 + f*m**4 + k*m**3 + r + u*m and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - d + 12. Let a be n(0). Suppose 0*y = -3*y + a. Suppose 2*q = y*q - 2. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**3 + 267*r - 3*r**2 - 46*r**4 - 257*r + 40*r**4 to n*r**3 + f*r + p*r**4 + a*r**2 + l and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00008366682608 rounded to 7 decimal places?\nAnswer: -0.0000837","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(264)*2)\/sqrt(11) + sqrt(216)\/(sqrt(18)\/sqrt(2)))\/(3*(sqrt(56)*4)\/sqrt(7)).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 3. Let r = 0.2673 + 0.9327. What is the third biggest value in 4, r, k, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from opqqdp. What is prob of sequence pq?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10\/(-4))\/(1\/66). Let k be (1\/3)\/((-5)\/h). Suppose -n - f + 4 = 2*n, 3*n + 4*f + k = 0. Solve n*x = 4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z - 4*z + z + 2*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/45?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 90*o - 99*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10223994 is divided by 471.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 4*g - 73134, -5*a - 9*g = -4*g - 73130. Round a to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*w - 25 + 60. Solve x + 5 = 4*t, t = 4*t + 4*x + w for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j + 45 = 85 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 51 = -4*h. What is the highest common divisor of h and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43abb (base 13) to base 16\nAnswer: -1df37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4449704nm to meters.\nAnswer: 0.0000000004449704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from ooqqjqoozo.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t + 5*t + 14*m - 19*m - 7, 0 = -t - 5*m - 19 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -86 less than or equal to -84?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 16) to base 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -2*q + 8, 2*v - 3*q - 503 + 499 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + u - 3*p + 21, 4*u = 5*p + 10. Let t(w) = -w**2 - 15*w - 7. Let r be t(-10). Let h = r + u. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a0090 (base 11) to base 2.\nAnswer: 1001011000101101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-64.365.\nAnswer: -25.746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 2*q - 3. Let z be t(-3). Solve z = 2*x + 2*x + 20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*p**3 - 29*p**2 + 5*p**2 + p**3 wrt p?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 2*s + 96. Let b be x(0). Let g = b + -27. What is the remainder when g is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.274 + -179.425. Let j = -74 + 249. Let q = j + r. Round q to two decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 62648 = 5*b - 62518, 5*y = 57*b + 1571 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4089867?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(20) + 2)**2*-3 + 5)*5.\nAnswer: -240*sqrt(5) - 515","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, 53, -220?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 470256\/24 + (21 - 10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7 or 8\/690415?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**4 + 4*p**4 - 3*p**4 + (p**3 + 0*p**3 + 0*p**3)*(2*p + 6*p - 4*p))*(10342 + 6343 - 2163 + 4516 - 4195).\nAnswer: 29686*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 3*o - 8505 = 0, -6*y - o = -2*y - 11343. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 162165 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1979023797 to the nearest integer?\nAnswer: 1256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -664\/7 - -95. Let n = 3 - 3.5. Let a be 27 + -27 + 1\/(-3) + 1. What is the nearest to a in t, -2\/5, n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7296 and 1664?\nAnswer: 94848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, s: 1, h: 1, l: 6, u: 1}. Give prob of sequence luls.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23 and 15?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -10100110000 (base 2) to base 9\nAnswer: -1735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*d**5 + 12140*d**4 + 5823365*d**3 - 1963369530*d**2 + 3909220380*d - 1951686360 = 0. What is d?\nAnswer: -1326, 1, 222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of 0*q + 1\/3*q**6 + 2*q**3 + 1\/2*q**4 - 2*q**2 + 128 - 6\/5*q**5. Determine x so that s(x) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1481927 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4003571 (base 8) to base 16\nAnswer: -100779","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 8, 0.1, 10, 0.5 in descending order.\nAnswer: 10, 8, 0.5, 1\/4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 6*z**2 + 11*z - 47. Let x be u(5). Suppose x*c - 162*c = -64. Solve -y + 5*y + c = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/4, 6.9, 6, 21?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 + 551*g - 8040.\nAnswer: -(g - 536)*(g - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52 - 41. Does 2 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(5\/2) + -2. Suppose -4*u + 16 = -0. Let a = 44 - 130\/3. What is the nearest to m in u, a, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a gram in milligrams?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 232104468 divided by 34?\nAnswer: 6826602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y + 12. Let d(r) = 8*r - 24. Let t(i) = 6*d(i) + 11*f(i). Let o be t(8). Suppose -23*s + 75 = -o*s. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 1\/4, 1\/3, 4, -30?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -580 (b) -0.1 (c) 1\/6 (d) 0.184\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 51712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198936899?\nAnswer: 7, 73, 5333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15368.8 and 0.06?\nAnswer: -922.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - 0.0560014.\nAnswer: -0.2560014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4322366, -17289502, -38901390, -69158024, -108059398?\n\"Answer: n**3 - 4322382*n**2 + 3*n + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3)*((-8159)\/(-2132) - 4).\nAnswer: -3\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 0 + 2)*(9117 - 9117 - 23*u**2)*(-35 + 16 - 6) to m*u**2 + p*u + k and give m.\nAnswer: -1150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/(-20) + -5509*334\/(-10). What is k rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63692821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {d: 1, z: 3, q: 6, o: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - 6*y + 8. Let a be p(-6). Solve -2*z - a = 2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 + 2*n)*(-8*n + 49*n + 632*n**2 - 626*n**2) to the form v*n + g*n**3 + r + j*n**2 and give j.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from btbgtebetggettbgbgge. Give prob of picking 1 e, 1 b, and 2 g.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 22665 and 12248116?\nAnswer: 12225451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -14, -2, 32, 100, 214, 386, 628?\n\"Answer: 2*q**3 - q**2 + q - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 215, -5, 5?\nAnswer: 215","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11941?\nAnswer: 11941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -377 + 1649 = 158*d - 2204. Solve b - d = -3*u, -b + 5*u - 34 = -0*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 6:39 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -173170403 + 0.03\nAnswer: -173170402.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215 = -22*p - 39. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 + -7?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 54314.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -284614013.9 rounded to the nearest 10000?\nAnswer: -284610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1.5 times 279\nAnswer: 418.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 5*a. Let v be s(10). Let m = 7748 + -170497\/22. Calculate the common denominator of m and (335\/v)\/((-18)\/(-15)).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -117 (base 8) to base 12\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 4*p**2 - 7*p + 7. Let x(v) = v + 1. Let m be x(4). Let y be a(m). Calculate the common denominator of (-4)\/(-64) + 0 + y and 63\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 274*s**4*x**3 + 5*s**3*x**3 + s**3*x + 46*s**2*x**2 - 59*s*x**3 wrt s.\nAnswer: 6576*s*x**3 + 30*x**3 + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 2 - 2)*(-3*i + i + 3*i) + (1 + 0 + 4)*(471*i - 471*i + 38*i**2) + 15633 - 15633 + 102*i**2.\nAnswer: 294*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 10:02 PM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 18*k + 3 - 1 + 7 - 3. Let p be n(-4). Let l = 72 + p. Let q(m) = m**2 - 11*m + 6. Give q(l).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4727\/18 - -2284\/9. Find the common denominator of y and 29\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 21545?\nAnswer: 21545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6970)\/(-165))\/17 + (-2)\/(-11).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 4 = 3*h. Suppose 2*v = -4*b - 12, -b - 4*v = -0*b + 10. Let a = b - -2. Solve a = y + y + h for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13088317 by 2.\nAnswer: 13088317\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = 8*y + 51. Suppose 0 = z + 2*k - 212, -3*k + y*k + 636 = 3*z. List the prime factors of z.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 9:46 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t + 39*t - 19386 + 19386.\nAnswer: 42*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/768 and 131\/24.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -948 - -1095. Does 49 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) -16 (b) 8\/3 (c) 2 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5748133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8 and 7.31.\nAnswer: -0.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 1:00 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 - 436*s - 3232.\nAnswer: -4*(s + 8)*(s + 101)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4\/11)*n**46)**(2\/15) assuming n is positive.\nAnswer: n**(1004\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31104 + 14*q**2 - 31104.\nAnswer: 14*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a micrometer in nanometers?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 176 + -168. Solve 4 = -4*r + z*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 79\/116 + 2\/29. What is the third biggest value in -4, r, 2\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6537264 - 2?\nAnswer: 6537262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w - 4. Let x be a(-7). Let r be 112\/x + 6\/9. Suppose 0 = 4*c + q + q - 88, 0 = -2*c + 2*q + r. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87, -167, -245, -321, -395, -467, -537?\nAnswer: -605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/120 + 198\/(-20). Let v(w) = 12*w**2 - 6*w - 34. Is v(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3924 and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaoarr. Give prob of sequence oa.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + (sqrt(125) + -2 - sqrt(5)) + 0.\nAnswer: -2 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -0*k + 16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 204*i**3*x*y**2 - 155*i**3*x*y - i**3*x - 3*i*x*y**2 - 2*i*y - 40*y**2 + 15*y wrt y.\nAnswer: 408*i**3*x - 6*i*x - 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 304*y**2 + 301*y**2 - 610*y**2.\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 6967*g - 6968. Give j(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 1945*h - 11161. Calculate k(6).\nAnswer: 509","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) 2605 (c) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 7*k**4 - 17*k**3 + 89*k**2 - 6. Let y(c) = -20*c**4 + 50*c**3 - 267*c**2 + 17. Let s(q) = 17*a(q) + 6*y(q). Find the third derivative of s(l) wrt l.\nAnswer: -24*l + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((-3)\/2 + -4). Which is the smallest value? (a) -5 (b) -4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3300) + sqrt(3300)*-1 + sqrt(3300) - sqrt(3300))\/(-2*sqrt(33)\/sqrt(3)) + (2*(-1*sqrt(6) + sqrt(6)))\/(sqrt(64)\/sqrt(8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -1\/36*w**4 + w + 0 + 1\/3*w**2 - 1\/18*w**3. Factor h(v).\nAnswer: -(v - 1)*(v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 6:45 PM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (4\/14 - (-130)\/182)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllss. What is prob of picking 1 s and 3 l?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 11*s**3 + 3*s**2 - 17*s + 14. Determine i(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a litre in millilitres?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7155\/(-1855) - (-2)\/(-14). Let b(m) = -3*m - 13. Give b(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = 16*j. Suppose 2*i + 3*i - 3*r - 5 = j, i - 4*r = -16. Solve 5*k + 16 = -i for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -11, 42, 28, -2 in increasing order.\nAnswer: -14, -11, -2, 28, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 84.\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 179 (base 14) to base 12.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100120 + -1121002020?\nAnswer: -1121102210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -22 + 9 - 3*f + 3*f + 3*f + 9. Determine z(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(3645) - sqrt(3645)*-2)\/(1*2*sqrt(9))*5)**2.\nAnswer: 820125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33006?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3336 - 888 = 8*y. Let c = -434 - y. Calculate the lowest common multiple of 8 and c.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3*w + 15, 4*w = -5*c - 0*w + 75. Suppose 5*o = -a + c, -4*o - 6*a = -a - 33. What is h in 0*h + 0 + 1\/3*h**5 - 1\/3*h**3 + 2\/3*h**o - 2\/3*h**4 = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, 4, -41, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-14)\/(-6) + -2)\/(2\/6). Let c(k) be the first derivative of 3*k**2 + 4*k + a + 2\/3*k**3. Factor c(o).\nAnswer: 2*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153008797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13902, -2, 0.4, -1, 2\/9, -2\/3 in decreasing order.\nAnswer: 0.4, 2\/9, -2\/3, -1, -2, -13902","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -41576 - 7840 - 143333. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - ((8 - 1) + -16)) + -9 - -7?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -19 - -14 - (0 + -81). Let y = l - 166. What is the common denominator of -31\/15 and 398\/y + -8*1\/(-2)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t**3 + 59*t**2 + 180*t - 3124. Calculate s(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -0.0469 (b) 0.2 (c) 8.97\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1010 + 2*w**3 + 1004 + 3*w - 4*w as j*w + f + o*w**2 + i*w**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence av when two letters picked without replacement from vvrrraaaavappa?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -34*f**3 + 4*f**2 + 2808*f + 2807. What is d(-1)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.23 and -1883.\nAnswer: -1882.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 > -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 235.12 - 5.2.\nAnswer: 229.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l - 29 + 0*l - 85 + 5*l - 3*l**2.\nAnswer: -3*l**2 - 114","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/(-25))\/(51603\/1030))\/(((-2)\/(-5))\/(-1)).\nAnswer: -2\/167","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 6*l + 5. Let n be k(-2). Let m(h) = -h + 1. Let o(z) = 6*z - 4. Give n*m(b) - o(b).\nAnswer: -3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -3\/2*v**5 - 32*v + 16*v**2 + 0 + 40\/3*v**3 + 13\/6*v**4 + 3\/20*v**6. Suppose m(r) = 0. Calculate r.\nAnswer: -2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4903*r + 4906*r + 27. Let n(o) = o + 20. Give n(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-750)\/48 - -2 - 10.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - 6. Let p be (k*3\/3)\/(4\/(-12)). Calculate the smallest common multiple of 14 and (-620)\/(-45) - (-6)\/p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = -10*d - 1136. Is d less than -71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1761160729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 8 + 11 = 4*x, -27 = -3*x - 5*l. Put -4, 8, x in ascending order.\nAnswer: -4, x, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 216.737218 rounded to the nearest ten?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -1\/10, -2311, -2\/27?\nAnswer: -2311","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 323732671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0311476 to 4 decimal places.\nAnswer: 0.0311","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 3*p - 3, -6*s - p = -2*s - 8. Suppose -s*u = -3*c - 1679991, -u = 3*c + 283555 - 843564. What is u rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/112 and (-143)\/70 + (5 - 4 - 0).\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - 3 - -1 - 2. Let u = 8 + i. What is the greatest common divisor of u and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 130\/(-18) - 2\/(-9). Let m(g) = g**3 + 8*g**2 + 5*g - 9. Calculate the remainder when 8 + (2 + -2)\/2 is divided by m(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s**2 + 0 + 0)*(s - 4 + s + 2) + 35581*s**2 - s**3 - 71386*s**2 + 35575*s**2 - 9 in the form r*s**3 + v*s + n*s**2 + h and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a century in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 723121 - 347454. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -10*k**3 - 3*k**2 + 7*k. Let n(t) = 9*t**3 + 3*t**2 - 6*t. Let f = -4 - -1. Let y be f + 2 - (175\/7)\/5. What is y*l(p) - 7*n(p)?\nAnswer: -3*p**3 - 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -67428 at most as big as -68363?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3765235\/65747 + 25\/5977. Factor -h*r**2 + 300\/11*r + 0 - 288\/11*r**3 - 30\/11*r**4.\nAnswer: -6*r*(r + 5)**2*(5*r - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 41.33 to the nearest integer.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of a**5\/60 - a**4\/12 - 2*a**3\/3 - 3*a**2. Suppose -3*p - 1 + 13 = 0. Determine f(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 46 = 34. Suppose -2*c = -2*v + 1 + 69, -43 = -v + 3*c. Calculate the remainder when v is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**5 - 3*i + 2*i**2 + 3*i + 3*i**5 + 3*i**5 - 5*i**5 + (3 - 1 + 0)*(-2*i**5 - 4 + 4) + 3 + 2*i**5 - 3.\nAnswer: -3*i**5 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1395*x**3 - 16*x**2 + 165*x**2 - 15 + 14.\nAnswer: -1395*x**3 + 149*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 1071*k**2 - 4284*k - 8568. Let s(v) = 2*v + 4. What is -2142*s(n) - z(n)?\nAnswer: -1071*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9092483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7\/9 - -1\/9. Let l(a) = a**3 + a**2 - a - 3. Let m be l(0). Let n = -6 + m. What is the nearest to -2\/5 in -3\/2, n, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -82 + 161. Is 23 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 4 = -2*c. Suppose -3*z + 5 = c. Let w be (-4)\/3*6\/(-4). Which is smaller: w or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 27 - (-31 - -6) - 28?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z - 3 + 2 + 2 + 1. What is the least common multiple of r(0) and 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 - 17.16. Let q = b - -0.16005. What is q rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2*18\/24)\/((-30)\/(-8)). Let h be (3 + -2)\/((-185)\/15 - -9). Which is the biggest value? (a) z (b) h (c) 1\/41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*o**2 - 23*o + 7*o**2 + 102*o - 24*o - 5*o**2 - 57*o.\nAnswer: -33*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15924 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2205 is divided by 847.\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 + 4*h**2 - 4*h**2)*(5 + 5*h - 5)*(-2*h + 2*h - h)*(-5 + 0 + 4)*(7 - 28 + 8).\nAnswer: -130*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 5*b**2 - 2*b**2 - 2*b**2. Let o(k) = -5*k + 11. Let q(i) = i - 2. Let l(h) = 4*o(h) + 22*q(h). Determine m(l(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 9:27 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence teq when three letters picked without replacement from {a: 2, q: 6, t: 3, e: 3, v: 2}?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 355961953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6206 = 99*a + 228 - 2474 for a.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8*15\/10)\/(225\/(-660)). Which is smaller: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -23239*d - 661. Determine m(0).\nAnswer: -661","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1408*b = -1401*b + 7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1611 * -4.7\nAnswer: -7571.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -22*j**3 + 821. Let f(t) be the third derivative of -t**5\/30 - 18*t**2. Calculate f(l(d)).\nAnswer: -8712*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10472, 10501, 10518, 10517, 10492, 10437?\nAnswer: 10346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -373 = -n - 78. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -156 by 39.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2731255 (base 9) to base 8\nAnswer: -5553421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1198 (b) -1 (c) 4 (d) -0.2 (e) 1\/3 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4745\/876)\/(-3*(-5)\/(-90))*6\/3.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 4, 5*k + 53*b - 42 = 50*b. Let f(a) = -a + 24. Calculate f(k).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1255002*f**3 - 700433*f**2?\nAnswer: 7530012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -71.2 * -102.5.\nAnswer: 7298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 5*f + 16. Let u be j(-3). Solve 10 = -u*s - 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6795.7735 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70797 and 165193.\nAnswer: 495579","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-74)\/(-14) + -5 + 8 + 160\/(-70). Suppose -c = -5*x - 10, -x = 2*c - 4*x - 13. Suppose -1 + q = c*u. Is u <= 0.071?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/(-48) + (((-1656)\/(-253))\/18 - (-4681)\/44)?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 AM and 6:21 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 - 639672*x + 28137824.\nAnswer: 4*(x - 159874)*(x - 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -28, -2.\nAnswer: -28, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5338.\nAnswer: 2, 17, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u = 4*u + 560. Let m = 5 + 2. Calculate the greatest common factor of u and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-448)\/(-178)) - 1752\/(-2044).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*g + 414718 = -189798. What are the prime factors of g?\nAnswer: 2, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1767bc08 - 4?\nAnswer: -1767bc0c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -280 + 338. Is v\/(-203) + (2 - (-704)\/14) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42419, -169504, -381313, -677846, -1059103?\nAnswer: -1525084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -5*u**2\/2 - 4*u - 32. Give h(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -11 - (-9 - -13 - -11)) + 9 - 30\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13859 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 162 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 + -20. Let r(s) = 2*s**2 + 19*s + 37. Let u be r(-11). Calculate the greatest common factor of m and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1773 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46 - -51. Put n, -9, -0.3 in ascending order.\nAnswer: -9, -0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 51312886.2416 and -5.\nAnswer: 51312881.2416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -8, -5, 0.14?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -98\/14994135 and -74\/1841385?\nAnswer: 104958945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2327*u**5 + 2*u**3 + 190*u**2 wrt u?\nAnswer: 139620*u**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 11 + (166 - 121)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 10:43 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.16? (a) -1061 (b) 4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12176 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -4*d + 8553 - 1767, 5*g - 4*d - 33810 = 0. Suppose -3*q - 3709 - g = 4*o, 0 = q - 4*o + 3465. Let j = -1282 - q. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -33.63 and -0.3.\nAnswer: 10.089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13236.\nAnswer: 2, 3, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -94\/3 - -32. Let a = -0.6 - -5.6. What is the smallest value in a, o, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12696110.\nAnswer: 2, 5, 7, 17, 47, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5833, -5796, -5743, -5680, -5613, -5548?\nAnswer: -5491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (19\/(-6))\/(26125\/(-6875))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvkvkrrvzrzrkkkkvrk. Give prob of picking 1 k, 1 z, and 1 r.\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/(-10) + 436169\/(-20). Let v = c - -21803. Find the common denominator of v and -43\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 319703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 958822, 1917537, 2876252?\n\"Answer: 958715*h + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 - (-8 + -4 + 6). Suppose 0 = 3*v - w*v - 17. Let s = -12 + v. Which is the smallest value? (a) -3 (b) s (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 45*b**3*t**3 + 2748282*b**3 + 2452*b**2*t**3 wrt t.\nAnswer: 135*b**3*t**2 + 7356*b**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 194557632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.89948912 to three decimal places.\nAnswer: 0.899","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3*z = -30, u - 3*z = -0*z + 12. Calculate the smallest common multiple of 18 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4626008?\nAnswer: 2, 578251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d*k*t + 4*d*k - 6*d*t + 3*d - 162*k*t - 2*k + 29 wrt t.\nAnswer: -2*d*k - 6*d - 162*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -3*n + 3*q + 5, 0 = 4*n + 3*q - 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 4*y + 9*p - 6*p, 115*p - 111*p - 2 = -y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.8632502 nanograms?\nAnswer: 0.0000000008632502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3841373671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -39*w**2 + w. Let f(g) = 39*g**2 - 2*g. What is 2*f(r) + 3*p(r)?\nAnswer: -39*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ifozulu. What is prob of sequence oi?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -1017*v**2 - 75 + 140*v + 967*v**2 - 3*v**3 - 17*v**3 + 5*v**4 = 0?\nAnswer: -3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + s - 8987 = 0, 6 = 15*s - 17*s. Let g = b - -3301. What are the prime factors of g?\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + 5*u + 5. Let l(d) = d - 11. Let b be l(-11). Let y be 45*(-2 + (-56)\/(-35)). Let t = b - y. Calculate o(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y - 2. Let z be f(-2). What is the first derivative of z - 4*s - 2*s - 1 + s wrt s?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3898 a factor of 1340808337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 - 1)*((-5*b + 0*b + 3*b)*(2*b - 2*b - 2*b) - 2*b**2 - 2*b**2 + 3*b**2)*(17*b**3 - 5*b**3 - 2*b**3).\nAnswer: -210*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/6)\/((-6)\/(-48)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*h**3*p**2*w**3 - 93*h**3*w**3 + 344*h**2*p**2*w**2 - 3*h*p**2*w**3 - 2*h*p*w**3 wrt h?\nAnswer: 18*p**2*w**3 - 558*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/10 - 50\/(-125). Suppose m + 6*m = -d*m. Suppose 10*i - 14*i + 128 = m. What is the least common multiple of 8 and i?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7233 a factor of 266687160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -679.55 to 0 decimal places.\nAnswer: -680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(39) + -2*sqrt(2496) - sqrt(39))\/sqrt(3))**2 + -1.\nAnswer: 3327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8263*p**3 - 2402*p**2 wrt p?\nAnswer: 49578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -5*t**5 + 9410*t**4 - 240700*t**3 - 1075880*t**2 - 1113600*t = 0.\nAnswer: -2, 0, 30, 1856","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**2. Let v(q) = -50*q**2. Give u(v(w)).\nAnswer: 5000*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38674 = -3*l + 5*z, 9*z - 7*z = 2. Is l - (-16)\/6*(-6)\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 4*g + 16 = 0, 4*g - 4 = 6*z - 7*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2\/4*5*188\/235\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/2 + (-22)\/(-4). Let n = g + -9. Let q(m) = -4 + 7*m - m + m**2 - m. Give q(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 197 - 632. Suppose -5*l = -n - 5. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 16*p - 2. Let t be k(16). Let q be (1 + 22\/(-4))*10. Let w be (16\/10)\/(t\/q). What is the greatest common divisor of w and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g*g**(-14\/3)*g)\/g)*g**(-6)\/g)\/(g*(g\/((g\/(g*g*g*g**(-14\/5))*g)\/g))\/g)**(-40) assuming g is positive.\nAnswer: g**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3601 by -6.\nAnswer: 3601\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1573565 to the nearest integer?\nAnswer: 1254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-17037)\/42*(-10)\/15. Let a = -270 + b. Are a and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -11*l - 84. Let k(v) = 9*v + 69. Let x(f) = 5*k(f) + 4*o(f). What is x(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*s - 0*s. Let c = s - -9. Suppose c*i - 18 = -2*h, -4*h + 5*i = h - 30. Calculate the remainder when h is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 449534 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 12. Put 1, g, -2 in ascending order.\nAnswer: g, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + s + 13. Let z be 0\/(-2 - (-1 - 3)). What are the prime factors of i(z)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**2 - 4*i - 2. Suppose 0 = 4*v - u - 9 - 8, -2*v + u + 7 = 0. What are the prime factors of q(v)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) 0.3 (c) -9 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 5 - 6. Let k(g) = -2*g**3 + 1. Let s be k(u). Solve n = -s*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -2307.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3, 1\/2, -2\/13, -12?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*r - 5*r - 403 + 186 = 2333 for r.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29512?\nAnswer: 2, 7, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 22*f**2 - 6062*f + 122057. Determine u(20).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*(-2323)\/1771 - 4\/(-22).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*2\/2*1*-1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-36)\/42 + 372676\/(-28)*-1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 9*a - 148. Let n be w(15). Differentiate -97 - 150 - n*s**2 + 306 with respect to s.\nAnswer: -424*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 3*h**3\/5 + 7917*h**2\/5 + 23712*h\/5 - 31632\/5 = 0.\nAnswer: -2636, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-16)*(-2680)\/(-201).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -5. Let t(n) = n + i - 2. Let f(w) = w. Determine t(f(s)).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, r: 1, h: 1, e: 1}. What is prob of sequence ehrc?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 52 in descending order.\nAnswer: 52, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111011011011 + 0?\nAnswer: 1111011011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-10) - (132\/45)\/4. Sort -2, -2\/9, -4, f.\nAnswer: -4, -2, f, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 114 divided by 163551\nAnswer: 38\/54517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 38760 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3605, 3509, 3425, 3353, 3293, 3245?\nAnswer: 3209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -8\/7*z**2 + 6\/7 - 22\/7*z = 0.\nAnswer: -3, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29414 + -29405. Solve 0 = -v + 7 - 8, -l = -4*a + 5*v for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -4*o - 5, o + 8 = -3*o. Suppose 12 = 4*t + d, f*t = -0*t - 3*d + 18. What is the remainder when (-642)\/(-9) - t\/(-3) is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32948.2439 - -32969.6. Round h to the nearest integer.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 5:02 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20\/21? (a) -2\/9 (b) 1\/4 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + -3 + -2 + 8 + 4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -40 - 17*h - 39*h - 43 - 108*h. Is a(-2) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1231 by 1.\nAnswer: -1231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -817, -8302, -28605, -68128, -133273, -230442?\nAnswer: -366037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -151 - -138. Put -0.3, 0.1, k in decreasing order.\nAnswer: 0.1, -0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 0*a + 3*a - 12 + 2*a - 3*a. Let b be h(12). Solve 16*g + 16 = b*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33027899269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p + 206 = 182 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3202 not equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(396) + 0)*-5 + (-5*(sqrt(11) + 2) - (sqrt(99)*2 + sqrt(99) - sqrt(11))))**2.\nAnswer: 860*sqrt(11) + 20439","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/15)\/((-140)\/(-1008))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 5*w**2 + 12*w + 33. Let z(p) = -5*p - 4. Let b be z(4). Let y = b + 18. List the prime factors of j(y).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 5*m - 70. Let y be j(14). Sort y, -303, 1 in decreasing order.\nAnswer: 1, y, -303","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccrc when four letters picked without replacement from rcryrrrcycrc.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/((-2)\/(-153)) - (6 - 3). Let b = 343 + f. Calculate the highest common factor of 17 and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 10 = -g, -4*g + k + 31 = g. Suppose 0 = 10*n - g*n + 4*c - 60, -2*n = 4*c - 34. Let u = n - 10. Solve u*v = -2*r + 16, 15 = 5*v + r - 7 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 561 and 5912141.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000332645629 rounded to 7 decimal places?\nAnswer: -0.0003326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -181\/15456 and -1\/21064.\nAnswer: 40695648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1057305 divided by -5?\nAnswer: -211461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -4 - (-21 + 12 + -9).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14194 - 14194 + 538*j**2 - 580*j**2.\nAnswer: -42*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.2870286ms in hours?\nAnswer: 0.0000009130635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 842?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(637) - (sqrt(637) + 1)) + sqrt(637))**2 - sqrt(637)) + sqrt(637) - sqrt(637).\nAnswer: -7*sqrt(13) + 637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -167.83 - -167. Round z to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40981944?\nAnswer: 2, 3, 1707581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 87277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -170b (base 15) to base 12\nAnswer: -2a55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -4402385, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/20619 and 26\/2291?\nAnswer: 20619","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5369 and 1003.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 6*s**2 + 3. Let l be (-4 - -14)*((-5)\/(-25))\/((-4)\/12). Calculate i(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 8:30 AM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 5) to base 3.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97, -81, -63, -43, -21?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u. Let l(h) = -2842*h + 7. Give o(l(n)).\nAnswer: -5684*n + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59*h**3 + 35*h**3 - 55*h**3 + 4*h**2 to the form y*h**2 + x*h**3 + u*h + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4*d + 12. Let t be h(2). Suppose -3*x + 6 = -4*x. Let g be (-16)\/(3\/(x\/4)). Calculate the highest common factor of g and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = c - 0*c. Suppose c*b - 4*w + 8*w = 0, -4*b - 3*w = -5. Determine t so that 22*t**5 - t**b + 26*t**2 + 49*t**3 - 9*t**2 + 55*t**4 + 2*t = 0.\nAnswer: -1, -1\/3, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-16) + (-38)\/(-8). Suppose 15 = -3*p - 0, -5*m = s*p - 20. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 593.254 and -0.5.\nAnswer: 592.754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -2)\/(0 - -5).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6, 3.\nAnswer: -4, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-450)\/(-25)*((-6)\/(-30))\/(3\/5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 l when two letters picked without replacement from flf?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-11)\/(-33))\/((4\/(-1434))\/(-2)).\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -6*n**2 - n - 6. Let d(h) = -h**2 - 1. Let k(r) = -5*d(r) + z(r). Let x(i) = -i**3 - 4*i**2 - 6*i - 6. Suppose 0 = v - 4*v - 3. Give v*x(p) + 6*k(p).\nAnswer: p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 12*t + 9. Let l be p(6). Let s = 47 - l. Suppose 71 = 4*g - 4*b - 9, -5*g - 4*b = -145. Solve 4*w = -o + 5, -5*o - w - s*w = -g for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**3 - 19428*p**2 + 9*p + 174852 = 0. What is p?\nAnswer: -19428, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 divided by 45.\nAnswer: 29\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 1 - 12\/(-80)*-10. Let j = 0 - 0.5. Which is the closest to t? (a) -1\/6 (b) j (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 178\/84 - 1 - 3\/(-2). Let a = 23\/7 - t. Which is smaller: -3 or a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6340000 to the nearest 100000.\nAnswer: -6300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 52 = -4*y, -4*z + 2*y + 59 + 15 = 0. Suppose 46654*n = 46621*n + 2112. Calculate the smallest common multiple of n and z.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141828253.\nAnswer: 7, 20261179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-859 - 743 - 17 + 6)*(2*k - 1 + 1).\nAnswer: -3226*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 4*h - 18 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -5, -0.2456, -0.32, 5 in decreasing order.\nAnswer: 5, -0.1, -0.2456, -0.32, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*m + j + 826, -4*m - 4*j - 1648 = 0. Let i = -233 - m. What are the prime factors of i?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/5 + 274288*o**2 - 47019820370*o - 470225632900.\nAnswer: -2*(o - 342865)**2*(o + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80 and 1244390.\nAnswer: 9955120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 9*t + 8. Let j be f(8). Suppose 2*o + 1 - 9 = j. Is o less than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = w + 4, -3*j - 2*w = j + 8. Suppose -5*t + 25 = -j*t. Find the second derivative of -2*x**5 - 3*x**5 + x + 7*x**t wrt x.\nAnswer: 40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.81 + -0.19. Let r = 8.4 + w. Which is the smallest value? (a) -1\/3 (b) r (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y + 570. Let f(d) = 2*d + 1138. What is 2*f(b) - 5*p(b)?\nAnswer: -b - 574","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -194268 - 13846873.\nAnswer: -14041141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 100\/80*(-18)\/5*(-6)\/(-1)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*m + 4*b - 122, 20*m + 3690*b - 3691*b = 15 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of s**7\/21 - s**6\/10 - s**5\/20 + s**4\/4 - s**3\/6 - 2*s + 1. Let m(w) be the first derivative of r(w). Factor m(v).\nAnswer: v*(v - 1)**2*(v + 1)*(2*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, h: 1, k: 3, z: 3}. What is prob of picking 2 u and 1 z?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f**2 + 65*f - 150 = 0. Calculate f.\nAnswer: -15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -h - b, -2*h - 3*h - 94 = -3*b. Let o = h - -287. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*6*-3*((sqrt(162) - 2*sqrt(162))*1 + -2 + -5 + -4).\nAnswer: 1188 + 972*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*(-1)\/2*(-2)\/(-1). Let m be (252\/49 - z)\/1. What is l in 6\/7 - 5\/7*l + m*l**2 = 0?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4*x + 29. Let r be g(-5). Let n be 4\/26 + (-100)\/(-26). Solve 0 = -w + n*w - r for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, w: 14}. What is prob of sequence ttww?\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-6) - (1680\/(-9))\/5. Suppose j = -4*c + 86. Calculate the remainder when 59 is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -22*k. Let o(f) = -4*f**2. Calculate h(o(z)).\nAnswer: 88*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)*-1*5*-6)\/(sqrt(60)\/(sqrt(640)*2)).\nAnswer: 480*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 times 3?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 4*m**2 - 6. Give f(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -0*f + 3*f - 6, 3*f - l = -4 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**4 + 3012*y**3 - 52008*y**2 + 270464*y - 443520.\nAnswer: 4*(y - 9)*(y - 4)**2*(y + 770)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (209\/(-6))\/(-11) + (-1)\/6. Let n be (3 + -6 + c)\/(-3). Sort -5, 14, 3, n in ascending order.\nAnswer: -5, n, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -5*k**2. Let a = 3 + -7. Let g(i) = 9*i**2. Let m(r) = a*g(r) - 7*y(r). Let z(h) = 4*h. Determine m(z(d)).\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 921 is divided by 148?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6020 divided by -4?\nAnswer: -1505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/5 of a litre in millilitres?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 1 = -5*l - 49, l = 5*p - 14. Let j(y) = -2*y - 2. What is the smallest common multiple of 22 and j(l)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4833412484 a multiple of 11194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 2747016383 to the nearest one hundred thousand.\nAnswer: 2747000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(-1211*g + 503*g + 547*g + 3).\nAnswer: 322*g - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -97 by 3.\nAnswer: -97\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.599414 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -58 + 255 + 0*b - 6*b + 26*b - 23*b to h + p*b and give h.\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0335 + 2.5995. Let n = y - -0.434. What is the third biggest value in -3, -0.5, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -206 divided by -4.\nAnswer: 103\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 8*l - 19. Determine x(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -12*f + 5. Let g(r) = 114*r - 48. Let s = 119 - 116. Let z be 24\/(-1 - s) - 42. What is z*c(i) - 5*g(i)?\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*z**2 - 18*z + 18*z)*(-2*z + 0 + 2 - 4) in the form j*z**2 + o*z + r + b*z**3 and give b.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 268*t**2 - 819*t - 1647. Determine s(-271).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1400)\/560)\/(2\/(-4)). Solve 8*b = -l*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/540 and 55\/28?\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0*w - o = 511109, -w + 3*o + 511105 = 0. Let y(z) = -1 - w*z**2 - z - 3 + 0. Let p be y(-3). Round p to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 25*y**2 - 23*y + 28. Let x be w(-24). Let l(q) be the second derivative of q**4\/4 - 2*q**3 + 4*q**2 - q. List the prime factors of l(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 675, -0.2, 38, -5.\nAnswer: -12, -5, -0.2, 38, 675","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n. Let x be (0 - 3\/2)*1656\/(-54). Let h(y) = 48 - 94 - 7*y**2 + x. Calculate h(m(b)).\nAnswer: -63*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -7 + 1 + (-2 - -13). Suppose -3*r + 49 = 7. Solve -l*s - r = -4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 28. Let b = -29.079 + l. Let s = 0.021 - b. Is 4 > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -73, -63, -49, -31?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nxuunuuunuuknunnnu. Give prob of sequence nun.\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**4 + l - l)*(72 + 108 - 228)*(-2*l + 2*l + l).\nAnswer: -144*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-5))\/(10292\/(-25730))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -306+470.07\nAnswer: 164.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 0 = -3. Suppose 3*i + 41 = -x. Is 0 - (-2 + i + -1) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/4)\/p)**(10\/13)*(((p*p**7)\/p)\/p)\/p**1 assuming p is positive.\nAnswer: p**(115\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 37 and -558265473?\nAnswer: 558265510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 27*x + 1 + 3 + 6*x + 41*x to the form q*x + c and give q.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l + 21 - 441 = 0. What is the remainder when 67 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*x + 32*x + 32*x + 65*x - 89*x.\nAnswer: 77*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zcccczccccc. What is prob of picking 2 z and 2 c?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c + -5?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*w**2 + 154*w**2 + 1204*w**2.\nAnswer: 1376*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-15)*o)**(1\/2)*(o\/o**(-3)*o)**(-30) assuming o is positive.\nAnswer: o**(-157)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 288?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13345699 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand n + 1 - 1 + n - 4*n + n + 5*n + 0*n - 3*n + (2 - n - 2)*(-2 + 2 - 1) + 3*n - 4*n + 2*n - 49*n - 2 + 13*n + 13*n.\nAnswer: -20*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4250 and 44854125?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -805 or -24\/11?\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 0*u + 18 = 3*i, -18 = -3*i - 4*u. Suppose -i*x = -958 - 476. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1086 + 1101. Let j be (-27)\/(-5) - 4\/10. What is the greatest common divisor of f and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 19*o**2 + 2*o - 5. Let i(l) = 18*l**2 + l - 4. What is -5*i(f) + 4*n(f)?\nAnswer: -14*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -5*l**3 - 7*l**2 - 8*l - 6. What is the units digit of a(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gpkoohooo. What is prob of picking 1 k, 1 h, and 1 p?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*g - 57393 = 7297, 2*g = 4*r - 129374. Let t(c) = 2*c - 32344 + r. Let b(d) = -3*d**2 + 58*d. Give t(b(s)).\nAnswer: -6*s**2 + 116*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 2 + 2 + 0 + 1 + 2 + 3 - 6 - 5 + 2 + 1 + (-4 + 1 + 4)*(-3 + 4 + 0))*(0*s + 3*s + 3*s) to f + i*s and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of 129*g**4\/2 + 4*g**3\/3 - g + 4. What is the hundreds digit of o(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 591183 divided by -1\nAnswer: -591183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 7*o**2 - 32*o**2 + 3*o**2 + 16.\nAnswer: -22*o**2 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 6, 10, 14?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-6))\/(1\/(-4)). Let b be (z\/(-5))\/(8\/(-80)). Let v be 129\/27 + (-4)\/(-18). Solve 0*p = -2*p - b, -q = -p - v for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -359, -701, -1043, -1385, -1727?\nAnswer: -2069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j + 5*j**2 + j - 3*j**2 - 1)*(-5*j - 2*j + 3*j + 42) in the form t + m*j**3 + s*j + r*j**2 and give s.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -5*u - 10. Let y(a) = 6*a + 9. Let r(s) = -4*x(s) - 5*y(s). Let j be r(-2). Does 9 divide 596\/6 - j\/45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 362 a factor of 198014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7708370 and 50.\nAnswer: 38541850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.6 and -11.7.\nAnswer: -11.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1306 - 5145\/4. Calculate the common denominator of 9\/92 and o.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -901 * 8870\nAnswer: -7991870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184147737.\nAnswer: 3, 1607, 38197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/42 - (-25504)\/448. Suppose f = 4*b + q - 21, -b - 5 = 0. Solve 5*l + 27 = 2*z, -f = -z + 2*l - 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 12 = 6. Solve 0 = 5*k - 3*u - 12, -3*k + 9 - b = -2*u for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 less than 120.621172796?\nAnswer: 141.621172796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4078 - 4045. Which is smaller: o or 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 613*y + 7214. Let a be j(12). Determine w so that -169\/8 + 195\/8*w + 1\/8*w**3 - 27\/8*w**a = 0.\nAnswer: 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -14*f**3 + 100*f**2 - 5*f + 17. Let t(w) = -28*w**3 + 183*w**2 - 9*w + 33. Give -11*c(j) + 6*t(j).\nAnswer: -14*j**3 - 2*j**2 + j + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-50)*175)\/(-5 + 0 - (37 + -46))?\nAnswer: -35\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 43 + 1?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.6 + -0.6. Let i = -2 - z. Let p = i - -7. Sort 0.3, p, 2 in ascending order.\nAnswer: 0.3, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence az when two letters picked without replacement from zaz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2302621 (base 7) to base 16.\nAnswer: -45ffa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*j + 11*j - 19*j - 20*j + 65*j - 16*j + j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**2 - 40*i - 193. Let f be h(-4). Which is the closest to 0.1? (a) f (b) 0.3 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 903242*s - 1155707 wrt s.\nAnswer: 903242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 371574?\nAnswer: 2, 3, 7, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/4 + 2\/2. Let a(n) = n**3 + 3*n**2 + 2*n + 2. Let i be a(q). Let t(j) = 11*j**i + 14*j - 14*j. Let c(s) = 2*s**2. Give t(c(r)).\nAnswer: 44*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z - 3. Let i be ((-12)\/(-8))\/(2\/(-124)). Let y be i\/(-33) + (-2)\/(-11). Suppose y*b + 6 = 5*b + 2*l, 0 = -5*l. Calculate m(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -306 - -309 - (4 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*q**3*u**2 - 102*q**3 - 5*q**2 + 16169*q*u**2 + 4*u**2 wrt q?\nAnswer: -90*q*u**2 - 612*q - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3519 greater than or equal to 3518?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 2*o**2 - 4 + (1 - 3 - 1)*(-2*o**2 - o**2 - o**2) + o**2 + 5*o - 5*o.\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*v + 1 - 12*v + 0)*(0 - 1 - 3).\nAnswer: -28*v - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b**3 - 1434*b + 1449*b + 3*b**3 + (-2*b - 3*b + 3*b)*(-b + 37*b**2 + b).\nAnswer: -75*b**3 + 15*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/14)\/(4\/7))\/((-14)\/140)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (-5 + 3 - (-1 + 6)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 3 = 3*p, 78 = -22*p + 4*w - w for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 14. Let j(m) = m**3 + 3*m**2 - 4*m + 4. Let v be j(b). Suppose -257 = -3*x + 4*a, 0 = 2*x - v*x + 3*a + 173. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-34\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*d + 927485 + 349280 = 0. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -4*k**2 - 94*k + 1946. Give z(-37).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 14. Suppose -2*o - 3*f = -32, 0*o + 4*f + 14 = q*o. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 512 divided by 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 342424 and 1472.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 13*y + 19. Let b(g) = -g**3 + 7*g**2 + 304*g - 2566. Let q be b(9). Calculate s(q).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + b**2 + 5*b - 48. Let p be h(-6). Suppose -43*f = -37*f - p. What is the remainder when f is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.367 + -1.367. Let h = -2 + -1. Let m be (-6)\/(-2)*(-2)\/6. Which is the closest to x? (a) 0 (b) h (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -635*h**6*j*u + h**3*j**2*u**2 + 2*h**2*j**2*u + 2*h*j**2*u**2 - 11*j**2*u + 4*j**2 wrt h.\nAnswer: -76200*h**3*j*u + 6*j**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n = 6*n - 119 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 5170.47237 minutes?\nAnswer: 0.5129436875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 7:27 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 140 and 74400290.\nAnswer: 1041604060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = s + 139, 2*f - 3*s = 3*f - 51. Suppose 7*c - f = 3*c. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10831347.\nAnswer: 3, 401161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1de17 + 276?\nAnswer: 1e08d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l**2 - l + 6. Let d be b(0). Suppose k = -k + 22. Suppose -k*u + d*u = -20. Solve -3*j + 2*p + 5 + 7 = 0, 2 = -5*j - u*p for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 0 = 16. Solve 7 = -4*a + 2*i - 7, 3*a - 6 = -y*i for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -408904*25.\nAnswer: -10222600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 47 = 5*s, -4*s + 7 = 3*l - 45. Let i be ((-498)\/l)\/(14\/(-8)). Which is smaller: i or 13?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 22*s**2 + 23*s - 44. Calculate l(21).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 - 35. Let b(a) = a**2 + 2*a + 1. Let q(w) = 4*w**2 + 8*w + 5. Calculate c*q(z) - 9*b(z).\nAnswer: -z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -12 and -1634397650?\nAnswer: 1634397638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 9, 18, 0 in decreasing order.\nAnswer: 18, 9, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 6*m. Let j(i) = 2*i + 6. Determine w(j(o)).\nAnswer: 12*o + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = u + 15, -3*t + 0*u - 8 = -4*u. Suppose -5*n + 5*i + 15 = 0, -4*n - 2*i + 0*i = -24. Which is greater: n or t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 64*h + 2188. Calculate r(-34).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ngggnggg. What is prob of picking 3 g?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -14*3\/6*-1. What is the greatest common factor of o and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4070.6 - 3333.06. Round m to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 147887 - 71281483\/482. Find the common denominator of -91\/30 and s.\nAnswer: 7230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -185 + 1\/3*m**3 + 5\/6*m - 31\/12*m**2. Factor c(z).\nAnswer: (z - 5)*(6*z - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 + 31. Suppose q = -4*x + 262, -2*q = -p*x + 2*x + 136. Suppose -4*v = -v - x. What is the lowest common multiple of v and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - ((-364)\/(-16) - 14)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1414700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.7909*104.\nAnswer: -602.2536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -4*i. Let g(b) = -12*b. What is g(m(f))?\nAnswer: 48*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -13 - 22 + 1 - d + 9 - 10. Let r be o(-40). Solve r = 61*f - 60*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -299 divided by 27\nAnswer: -299\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 < -45819990?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4723 times -4580?\nAnswer: -6743.134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 10:38 PM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -6. Find the second derivative of 2 - j*h - 2 - 3*h**2 wrt h.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.05 + -0.09. Let j = 0.12 + o. Round j to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 50215 or 50213?\nAnswer: 50213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (4*(sqrt(275) + -1))**2.\nAnswer: -160*sqrt(11) + 4415","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1175 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1675, 6779, 15285, 27193, 42503, 61215, 83329?\n\"Answer: 1701*i**2 + i - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 2*g + 2*g)*((-g + 0*g - g)*(-10*g - 2*g - 3*g) + (g + 2*g - g)*(14 - 14 + 10*g)).\nAnswer: 50*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 22*b**2 - 21*b + 11. Let v be n(23). Suppose -v*x + 64*x - 2093 = 0. List the prime factors of x.\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-2)*24\/4. Let h(d) = d + 2. Let o be h(r). Suppose -4*s + 23 = -3*i, -2*i - 37 = -o*s - i. What is the smallest common multiple of 12 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 3*t - 9, 2*t - 3 = -x - 0*t. Solve -3*f = 9, -x*u - 7 = -5*u - f for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75, -10, -151, -348, -601?\nAnswer: -910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*l + 94*l = -2*n - 21, -3*n + 1 = l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -15. Let j(i) = -2*i + 12. Calculate the remainder when j(-11) is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + -88 + 67 - 33.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 133*y + 297*y - 108*y - 5152 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 480185817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -675816, -1351507, -2027194, -2702877, -3378556, -4054231, -4729902?\nAnswer: -5405569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-70)\/(-15)*((-957)\/174 + 5\/2). Let t(r) = -16*r - 229. Give t(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v - 7*v + 0*v - 6*v - 4*v + 5.\nAnswer: -15*v + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -65 + 67. What is the third derivative of -11*i**5 - i**3 - 6*i**2 + 2*i**y - 4*i + 6*i**2 wrt i?\nAnswer: -660*i**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12.53? (a) 2 (b) -1\/4 (c) 3 (d) 95 (e) -1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1380?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 13*l**2 - 22*l + 83. Let m be o(-10). What is the nearest to 43 in m, -2\/5, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.8 and 424?\nAnswer: -763.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6, -95, -344, -831, -1634, -2831, -4500?\n\"Answer: -13*o**3 - 2*o**2 + 8*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -842970098, -842970097, -842970096, -842970095, -842970094?\nAnswer: -842970093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 122*w - 632342 - 705632. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**4*c*c)\/(c\/(((c\/c**(-13))\/c)\/c)*c))\/((c*c**13)\/((c\/((c\/c**(-2))\/c*c*c))\/c*c)) assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {a: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 321089848049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 4*r - 6*r - 40 = 3*c, -3*c + 281 + 184 = -18*r for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 6. Suppose 0 = -3*t + 2*p + k, -6 = -p - 2*p. Suppose -t*u + 4*u = -68. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -5*u + 34, -40 = -5*m + 5*u - 10*u. Let i(o) = -o**2 + 2*o. Let q be i(m). Let y = 4 - 6. Sort y, 1, q in ascending order.\nAnswer: q, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xh when two letters picked without replacement from xiehb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 476a018 (base 11) to base 7\nAnswer: 130450221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 865?\nAnswer: 7785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 80471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, g: 2, v: 2, l: 1, d: 1, y: 1}. Give prob of sequence yld.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 20*v**3 - 21*v**2 + 15*v + 9. Let u(b) = 7*b**3 - 7*b**2 + 5*b + 3. Let d = 14 + -20. Let n(h) = d*s(h) + 17*u(h). Is n(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.5 - 1.5. Let j = -6 - p. Let d = 0.5 - j. Put 3, d, -1 in increasing order.\nAnswer: -1, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 4*f**2 - 3*f - 3. Let y(v) = v**3 + 5*v**2 - 2*v - 4. Let l(n) = -3*j(n) + 2*y(n). Calculate l(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*n = -3422, 4*w - 5*w - 3*n - 1710 = 0. Let m = w - -2456. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2537403 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 326.\nAnswer: -7\/326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3150\/(-11025)*7\/531*3*3?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 92954*c - 4182929. Determine z(45).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/1629 and -19\/18?\nAnswer: 3258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 151 + -138. Suppose 0 = -4*f + 19 + x. Solve -4*b + f = -0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((24\/(-45))\/(4\/10))\/(-4)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5151 = 9*l + n + 5200, 17 = -l - 3*n for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 12:26 AM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 268417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 - 3*l + 5. Let o be s(0). Solve -u + 5 = 2*z - 5, o*u = 2*z + 14 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208 = -4*u + 2*v, 961*v = -8*u + 967*v - 412 for u.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of s**8\/84 + s**7\/210 - 103*s**4\/24 - 53*s**3 + 94. Let p(k) be the third derivative of c(k). Differentiate p(m) wrt m.\nAnswer: 80*m**3 + 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1302*j**4*m**3 - 1134*j*m**3 + 65*m**3 + 17257*m**2 wrt j.\nAnswer: 5208*j**3*m**3 - 1134*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -796500 to the nearest ten thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wswd when four letters picked without replacement from sdddnwnccwpwwwdwsww?\nAnswer: 14\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-49)*(1 - (-260)\/(-351))?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/30726072 and 113\/2166582.\nAnswer: 337986792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 27525, 27536, 27559, 27600, 27665?\n\"Answer: v**3 + 4*v + 27520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 10*x - 2*x**2 + 4*x + 4*x in the form z + i*x + y*x**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -423 divided by 82?\nAnswer: -423\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhv when three letters picked without replacement from ehsfvfshschhff.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d + 2*k - 2 = 11*d, 13 = -2*d + k for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 516 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 1 = -2*y. Solve -3 + 23 = -y*z + 4*x, -3*z + 2*x - 13 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 - 13\/(-6)*(-3 - -1). Which is the closest to o? (a) 0.3 (b) 2\/9 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 6:49 PM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 5*r**2 + 3*r + 5. Suppose -3*x + 3 = a, 0*x - 4*x + 4 = 3*a. Suppose j + 7 = 4*g + 20, j + 3*g + x = 0. Determine b(j).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 5:56 PM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z**2 + 4*z + 4. Let p(u) = -8*u**2 - 11*u - 11. Let k be 66\/(-18)*(-1 + 4). What is k*f(x) - 4*p(x)?\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + b + 14 = 22, 2*b = -3*r + 7 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 48?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**2 + s - 2. Let d be j(-2). Suppose 0 = -4*h - 4, 0 = r - 4*h - 6 - d. Let q be 4\/(-1) + 0 + r. Are q and 13\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 166653 divided by 18517.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 616237 or 616239?\nAnswer: 616239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(4\/(-180)*-6). Let x(r) = r**3 - 4*r**2 - 27. Let c be x(6). Calculate the highest common divisor of b and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mvvmukukmvuumumvvvv. Give prob of sequence muv.\nAnswer: 175\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**2. Let p(g) = -72*g - 5. Let n(x) = 180*x + 12. Let q(m) = -5*n(m) - 12*p(m). Give q(k(r)).\nAnswer: 72*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dedpppepdsppdpps. What is prob of sequence ds?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of 127*b**4\/24 + 32*b**3\/3 - 154*b**2. Differentiate m(r) with respect to r.\nAnswer: 127","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(5\/2)\/j*j)\/(((j\/j**(4\/7))\/j)\/j))**(-3)\/(((j\/(j\/((j\/(j**(-2\/11)*j))\/j*j))*j)\/j**(2\/9))\/(j**(1\/9)*j**5\/j)) assuming j is positive.\nAnswer: j**(-5573\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, -5, -103796, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178497?\nAnswer: 3, 11, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**3 + 3*t**2 + 3*t - 3. Let u(b) = -6*b**3 - 10*b**2 - 10*b + 10. Determine -6*u(h) - 20*z(h).\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**2\/3 - 1204*a\/3 + 102794\/3 = 0. Calculate a.\nAnswer: 103, 499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - 11*d - 4. Let i(q) = q**3 + 13*q**2 - 8. Let l be i(-13). Does 6 divide c(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-2 - -6 - 10)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -45, -110, -221, -390, -629, -950, -1365?\nAnswer: -1886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/1038044 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -94438273912 - -0.082.\nAnswer: -94438273911.918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 963077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -6*p + 4*p - 6, -5*p - 2*f = 31. Let b(m) be the second derivative of 11*m**3\/6 - 9*m**2\/2 + m. Let d(k) = 6*k - 5. Determine p*d(y) + 4*b(y).\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 j, and 1 g when three letters picked without replacement from {o: 7, j: 4, p: 2, t: 4, g: 1}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 68131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 17*b - 5*b + 64 + 13*b. List the prime factors of g(17).\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3 + sqrt(245)) + ((sqrt(35) + (sqrt(35) - (sqrt(35) + sqrt(35) + (sqrt(35) - 1*sqrt(35))) - sqrt(35)))\/sqrt(7) - (sqrt(80)*4 - sqrt(5))))**2.\nAnswer: 54*sqrt(5) + 414","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71 = -88*i + 181 - 22 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 12 = -f - 2*f, f + 15 = -5*v. Solve 0 = -x - f*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oopaxid. What is prob of sequence ad?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1902 divided by 634.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 2 - 2)*(0*i - i - i) + 217 - 217 - 12*i**2.\nAnswer: -16*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10659611*g**2 - 5329801*g**2 - 2 - 5329804*g**2.\nAnswer: 6*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 + (-328)\/16)\/((-63)\/36)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = -11*x - 324. Let p = -478 + 281. Let i = x - p. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0, 47.\nAnswer: 0, 8, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of 9*u**8\/560 + 5*u**4\/6 - 9*u**3\/2 + 5*u**2. Let d(n) be the first derivative of z(n). What is the derivative of d(w) wrt w?\nAnswer: 108*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -1932, -4 in descending order.\nAnswer: 5, 4, -4, -1932","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 11:38 PM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/2 and 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350 is divided by 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -855 and 42731.\nAnswer: 41876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + -2 + sqrt(320) + (1 + sqrt(320))*-1 + 0)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -125, 0, 84, 1, 2 in ascending order.\nAnswer: -125, 0, 1, 2, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10786\/57 or -0.1?\nAnswer: 10786\/57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 7*q**2 + 259*q + 1511. Calculate m(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1764 - 3076 = 242*w for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 578*i**6 + 2372*i**3 + 13*i**2 - 12044*i + 27 wrt i?\nAnswer: 69360*i**3 + 14232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3 + 18 = -3*i, -4*t - 20 = 4*i. Suppose -4*m - 4*j + 8 = t, -j + 16 = -2*m + j. What is the common denominator of -31\/2 and (-6)\/m - (-5)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 7*k + 8. Let h be y(7). Is h at least as big as 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2736)*1 + 1 + sqrt(1900).\nAnswer: 1 + 22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12985.\nAnswer: 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 21781157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 183\/(479094\/187)*3\/2*(-8)\/66.\nAnswer: -1\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/15)\/2*10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 11, 3\/5, -0.5, -0.8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o. Let v(n) = 287*n - 860. Let z be v(3). Let p(r) = -r + 4. Determine z*p(x) + 2*l(x).\nAnswer: -3*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 11040 (base 5) to base 16\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d**3 - 9*d - 3*d**3 - 3*d**2 + 5 - 2 + 8*d. Let f be z(3). Solve -h - 2 = 2*i + 2*i, f = 3*h + 4*i + 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 290, 51, -201 in increasing order.\nAnswer: -201, 51, 290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 + 1000111000111010111111?\nAnswer: 1000111000111010110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -11. Let t be (4 + -3)*1 + -5. What is the least common multiple of (-15)\/(-20) - 1\/t and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 376 is divided by 64.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, t: 7}. Give prob of sequence wwt.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*n**3*o*p - 51*n**3*o - n**2*o*p - n**2 - n*p + 8 wrt n?\nAnswer: 24*o*p - 306*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 17*r**2 + 32*r - 91. Let y(w) = -10*w**2 - 17*w + 48. Let b(i) = 3*o(i) + 5*y(i). Calculate b(-13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.03*0.001.\nAnswer: 0.00603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 687\/(-165) + 4\/2. Let i = -26\/11 - b. Put -1, i, -3\/4 in descending order.\nAnswer: i, -3\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1223130 (base 7) in base 3?\nAnswer: 21222120220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-139 + 205 + 55*c - 84)*((26 - 13 + 2)*(-c + 0 + 0) + 0*c + 0*c + c) to g*c**2 + q + d*c and give d.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -5, 22, 1961, -2, 4 in increasing order.\nAnswer: -13, -5, -2, 4, 22, 1961","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v - 57*v**3 + 2*v - 1 - v**2 + 73*v**3. Calculate b(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**2 - r. Let g be w(-1). Suppose 68 - 23 = -g*b. Find the common denominator of (b - -4)*(-22)\/(-24) and 59\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1409\/2 + -703. Factor 9\/4*u**3 + 0*u + 0 - 3\/4*u**5 + 0*u**4 + v*u**2.\nAnswer: -3*u**2*(u - 2)*(u + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -547 - -552. Solve d - 8 = -3*i, 5*d = 4*i - 41 + j for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 216 = 3*i. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*x - 104 = 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 4 - 6 - v + 4 + 12*v**2 - 10*v**2. Give m(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 55953733 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, o: 4, x: 3, w: 3, r: 4}. What is prob of picking 1 w, 1 x, and 1 u?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from eezzemzmemme?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zjzzxjzxzxzxxxxbbzb. Give prob of picking 2 z and 2 b.\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 10857, 2\/3, -1\/4, -5 in ascending order.\nAnswer: -5, -1\/4, 2\/3, 4, 10857","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*j**2 + 3*j**2 - j**2 + (0*j - 5*j + 4*j)*(-130*j - 1117*j + 87*j - 91*j - 503*j).\nAnswer: 1752*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 176859, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -215 + -32. Is -247 != g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + n. Let l(s) = 4*s**2 + 3*s. Give -2*l(c) + 6*y(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v - 3*v + 2*v)*(1039*v + 3074*v - 910*v + 529*v).\nAnswer: -18660*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4467 - 2005. Is 3 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/7)\/((-1)\/(-2)*1)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 35*y**2 + 3*y - 36. Is t(-25) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -4\/5*f**3 - 1856\/5*f + 368 + 476\/5*f**2 = 0.\nAnswer: 2, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2393, 9494, 21311, 37832, 59045, 84938, 115499?\nAnswer: 150716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.01 + -0.31. Let b = 5 + -4.96. Let p = -0.44 + b. What is the second biggest value in w, p, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 6\/(-3) + 503\/(-56). Let h = 69\/8 + b. Calculate the common denominator of h and ((5754\/4)\/7)\/9.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 6*y**3 - 54*y**2 - 1380*y + 12421. Give p(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o. Let p be 168\/16*(28\/6 - -2). Let c(h) = -p + 4*h**2 + 22 + 26 + 20. Determine c(g(z)).\nAnswer: 16*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17846*x + 4*o = 17850*x - 24, 0 = 5*x + o + 30 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**0\/r))**(-20)\/((r*r\/(r*r*r*r*r**(1\/6)\/r*r*r)*r)\/(r\/(r*r**(-1\/4)*r))) assuming r is positive.\nAnswer: r**(-463\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in 10.519, 5, 0.1, 0.05, 0.2, 2\/17?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 246 - 2?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 + -0.5. Let f = 39 - 38.9. What is the nearest to f in g, -5, -2\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10036 plus 0?\nAnswer: 10036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(49)*-3)\/sqrt(7).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -22638, -23831, -25024, -26217?\n\"Answer: -1193*f - 21445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13302 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -544?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -111 - -113. Suppose s - 5*p = -15, -j*s + 0*s - p + 14 = 0. Solve -10 = -2*c - 2*r, -32 = c - s*r - 7 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 15*u - 19*u)*(79*u**2 + 4795*u - 4795*u)*(-7*u + 2*u + 3*u).\nAnswer: 474*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.3, 6, 4, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 43, 73, 95, 97, 67?\n\"Answer: -2*k**3 + 8*k**2 + 20*k + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 - 7*d - 4. Let b = 3 - 7. What is p(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*b - 40 = 3*l, 2*l - 11*b = -13*b for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 3*t - 2*t + 17, -62 = -5*v - 2*t. Let n = 11.4 + -16.4. Put n, 3\/2, v in increasing order.\nAnswer: n, 3\/2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1253*n**4 - 153 + 136 + 289 - 850 with respect to n.\nAnswer: -5012*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 9*k**2 - 10*k + 2. Let z(i) be the first derivative of i**2\/2 + i - 3. Let c be z(9). What is the units digit of l(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in six fifths of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2332 - -3?\nAnswer: -2323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -x**6\/75 - 3*x**5\/50 - 25*x. What is q in n(q) = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52229.\nAnswer: 29, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42129857?\nAnswer: 7, 11, 78163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29369442?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91108.67 centuries to months.\nAnswer: 109330404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -4 + g**2 - 2 + 3*g**3 + 2 - g**4 + 2*g**2. Let a(s) = s**4 - s**3 - s**2 + 1. Let z(c) = 3*a(c) + j(c). Differentiate z(t) wrt t.\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81528 is divided by 324.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y - 5. Let a be u(-8). Calculate the greatest common divisor of a and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152445885.\nAnswer: 3, 5, 17, 597827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 559 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 j when four letters picked without replacement from jrjqjjgr.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1161736 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 9 = -4*f, 2*y = -2*y + 12. Let o be (-16)\/24 - 34\/(-6). Solve o*a + f = 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/10 and 9\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/3381 and 47\/23580?\nAnswer: 26574660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**5 - b**3 + 7*b - 7*b - b**5 + b**5 + 2*b**5 + (-4*b**3 + 3*b**3 - b**3)*(3 - 3 - b**2).\nAnswer: 7*b**5 - b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/((i**(-1\/11)*i)\/i*i)*i**(-7) assuming i is positive.\nAnswer: i**(-76\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.1793 + -0.0207. Let b be (8 + -1)*40\/140. What is the nearest to b in -0.2, z, -0.6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*b - 2 = -4*h, b = -5*h + 12. What is the third derivative of 10*t**5 + 19*t**h - 3*t**2 + 745*t**3 - 743*t**3 wrt t?\nAnswer: 600*t**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g**3 - 6*g**2 - 9*g + 13. Let j(n) = n**2 + n - 2. What is f(l) + 6*j(l)?\nAnswer: -3*l**3 - 3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -327\/2 (b) -11\/3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 less than -235\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 787, 1531, 2275, 3019, 3763?\n\"Answer: 744*j + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**2 - 100*h + 1250 = 0.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, b: 1, p: 7}. What is prob of picking 1 p and 1 b?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6187 times -5?\nAnswer: -30935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 259545527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11051 + 11063. Solve 22*n = -12 + z for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38828, 77658, 116488, 155318, 194148, 232978?\nAnswer: 271808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-15))\/d**31*(((d**(-41)*d*d)\/d)\/d)\/(d*d**(-5\/2)*d))**(2\/11) assuming d is positive.\nAnswer: d**(-171\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 7. Solve 0*i**3 - i**4 - 2*i**3 - p*i + 2*i + i**5 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + f**2 - f - 1. Let c(a) be the third derivative of -a**6\/40 - a**5\/12 + a**4\/12 + 2*a**3\/3 + 2*a**2. Let t(p) = c(p) + 4*m(p). Factor t(k).\nAnswer: k*(k - 2)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -j**6\/720 + 11*j**4\/12 + j**2 - j. Let i(u) be the second derivative of h(u). Give i(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -28*o + 2*o**2 + 41*o + 2 + 2 + 18. What is the units digit of m(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 727121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -0.5, 0, -233.\nAnswer: -233, -0.5, 0, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1364978259 * -2\nAnswer: 2729956518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gef when three letters picked without replacement from ekfgggxzggg.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1024, -2.1, 19\/218?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 422321 to the nearest integer?\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(5*h**2 - 3*h**2 + 0*h**2) + (1 - 2 + 0)*(0*h - 3*h + 2*h)*(6*h + 0*h - 19*h).\nAnswer: -17*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 17. Solve -4*s - 7 - 9 = t*l, 0 = 4*l for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -476909 - 6?\nAnswer: -476915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59708?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 16*a**2 + 2259*a + 8857. Give w(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 9:19 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - (-14703)\/12 - -1. Let c = -1212 + b. Find the common denominator of c and -57\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1258.359 - 1258.8. Which is the third smallest value? (a) f (b) -1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 5*t + 40, 7 - 19 = -3*t. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2050 (base 7) to base 3\nAnswer: -222201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -330*75\/1650 + 76.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -94*m**2 - 44*m - 66*m**2 + 33*m**2 - 68*m wrt m?\nAnswer: -254","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8 + 7)\/((-1)\/6). Suppose -3*w + 16 = 4*z, -i*w + 3*w = -12. Calculate the highest common factor of 8 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17006660 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x + 10. Suppose 0 = -26*p + 7*p - 2*p. Calculate d(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 5*w - 4. Let o be d(1). Solve o = 2*c + c - 2*f + 15, 0 = -5*c + 5*f - 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 20*y**3 + 1814*y**2 + 35786*y = 0.\nAnswer: -617\/10, -29, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 5*a**3 - 3*a**2 + 3. Let w be p(5). Let x = 17 - 12. Suppose 5*r = 5*s - w - 182, 0 = -3*s - x*r + 409. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 7. Calculate the remainder when (f\/(-4))\/(2\/116) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4338 - 1858 = -2*g. Suppose -3*x - 74 + g = 0. Let k be (6\/7)\/(4\/x). What is k rounded to the nearest 10?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-2))\/(z**0*z*z))**(-17) assuming z is positive.\nAnswer: z**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10500)\/(-1875)*(-3)\/(-12).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-5)\/k*k)\/(k*k**(1\/2)))\/((k**(-1\/4)*k)\/k*k**(-1)) assuming k is positive.\nAnswer: k**(-17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 divided by -90?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1012333 - -11302?\nAnswer: 1030301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -v - 3*z, 0 = -v + 3*z - 5*z - 9. Let i = v + 23. Calculate the smallest common multiple of i and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84813 is divided by 21196.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 40\/11, 1\/2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 12 = m. Suppose -h + m*h - 2*d + 2 = 0, 0 = -h - 5*d + 23. Solve -h + 5 = u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1528 and 1092?\nAnswer: 417144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25225 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 25 = k, k = -2*z - 3*k + 10. Let y = 18 - z. What is the biggest value in 0.4, y, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bedd when four letters picked without replacement from {b: 2, e: 7, d: 2}?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 4:29 AM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1271687, -1271674, -1271661, -1271648?\nAnswer: -1271635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000006583 rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 626288311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12 - -37a747?\nAnswer: 37a759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.02 and 5.\nAnswer: 15.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f**2 + 97*f - 428. Calculate d(9).\nAnswer: 688","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (138\/782)\/(4\/34)*1\/(-57)\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 393426 - 393426 - c**3 - 7*c**3.\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + c**2 - 2*c - 4. Let b be t(-3). Let o(l) = 2*l**2 - 10*l + 1. Is o(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 36\/30*(-340)\/(-6). Let i = -3 + m. What are the prime factors of i?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11cb (base 13) in base 15?\nAnswer: b3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -72456.22 + 72456. Let b be (-1)\/10 + 1\/(-3). Let h = -1\/15 + b. What is the closest to h in 0, 0.5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71082814?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 102 and 12.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 10*c - 2*c**3 - c**2 - 5*c**2 - 6 + 3*c**3 - 2*c**2. Is n(7) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**3 - 2*f + 2*f - f**5 + (-f**4 + 3*f**2 - 3*f**2)*(5 + 2*f - 5) - 5*f**5 + 4*f**5 - 5*f**5.\nAnswer: -9*f**5 + 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 32*a**2 - a - 30. Let i be t(-32). Let f be -1*(-1 + 8) - (21 - 23). Let k be 8\/((f - -1)*(-2)\/4). Sort -4, k, -3, i.\nAnswer: -4, -3, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -6, 0 = 4*a - 4*f + f - 15686314. Let j = a + -2732515. Suppose -3*q + 970938 = -j. Round q to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*z - 11*z - 2*z + 18*z**3)*(0*z + 0*z - 4*z) to the form s + q*z**4 + b*z**3 + d*z + g*z**2 and give g.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 86068988 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 106090 and 1236.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4 - 5.4. Let a = 2855\/11 - 259. Let v = -9146\/55 + 831\/5. What is the closest to n in a, -4, v?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 60. Suppose n - 177 = -3*p. Suppose 0 = 3*z - 5*x - p, -2*z + x = 9 - 34. Is 5 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7513, 32315, 73669, 131575?\n\"Answer: 8276*p**2 - 26*p - 737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11158012, 22316019, 33474026, 44632033, 55790040, 66948047?\nAnswer: 78106054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 296787872 to the power of 1\/2, to the nearest integer?\nAnswer: 17228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and 31886.\nAnswer: 31886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 172153322*p**6 + 99*p**2 - 88442*p?\nAnswer: 20658398640*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus 1186.9?\nAnswer: 1184.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yzi when three letters picked without replacement from btyizyi?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25641 - -25641.0025746. Round i to five dps.\nAnswer: 0.00257","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.09, 76, -5\/4, 5, 2 in descending order.\nAnswer: 76, 5, 4, 2, 0.09, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23877?\nAnswer: 3, 7, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w + 32. Let v be j(15). Solve p - 33 = -p + 5*q, -v*q + 6 = 4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 412 = -3*f, -15*u + 19*u - 270 = -2*f. Let j = f - 123. Solve 5*v + 6 + 4 = 4*l, 2*l - j = -2*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221386393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 1362*o - 540504. Determine v(397).\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-2)*t**(-17)*t*t)**20 assuming t is positive.\nAnswer: t**(-240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -10*f**3 - 5*f**2 - 6*f - 4. Let d(s) = -28*s**3 - 14*s**2 - 17*s - 12. Let o(a) = 4*d(a) - 11*u(a). Let k = -9 + 5. Is o(k) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3093600, 6187216, 9280836, 12374460?\n\"Answer: 2*x**2 + 3093610*x - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-2)*w*w)\/w*w*w*w*w**(-5)*w*w**(-1\/3)\/(w\/(w\/(((w\/w**(-3))\/w)\/w))*w))**(-34\/9))**(-45) assuming w is positive.\nAnswer: w**(-2720\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**3*f*x + 42*c**3*x - 13*c**2*f*k*x - 20*c**2*k*x - 19*c*f*x - 2*k with respect to f.\nAnswer: c**3*x - 13*c**2*k*x - 19*c*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*b - 9. Suppose 40 = b*m + 5*h, -2*h + 2 = -m - 2. Suppose -5*q + 20 = 0, -m*g = -2*g - 5*q - 32. Is g a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11130000 rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -384*v**2 - 471*v + 33. Let r = -720 + 724. Let u(o) = 48*o**2 + 59*o - 4. Let p(z) = r*y(z) + 33*u(z). Find the second derivative of p(x) wrt x.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*m + 15 = 1, m = -5*s + 70. Suppose s = 3*a - 5*o - 16, 2*a = -2*o + 4. Suppose 4*r = -a*z + 291, 4*r = -5*z + 6*z + 273. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12332.\nAnswer: 2, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 2*v, 8*v = 3*n + 13*v for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 370813348*p**5 - 18452307*p.\nAnswer: 7416266960*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-20) - 8\/(-5). Let k = l + 3. Solve -k*n - 5 = -5*d, 5*d + 2*n + 4 - 2 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*p**3 - p**3 - 4*p**3 - 34*p**3 - 28*p**3.\nAnswer: -55*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.463 less than -0.1?\nAnswer: 0.363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 265455 and 50.\nAnswer: 2654550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of 0*r**3 - 1\/70*r**7 + 0*r**4 + 0 + 0*r + 1\/20*r**5 + 0*r**6 - 4*r**2. What is the third derivative of g(v) wrt v?\nAnswer: -72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 226832963*w + 219713912 wrt w?\nAnswer: 226832963","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41 + 69. Let s = v + -8. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - 1)\/((-3)\/(-8)). Let q be (-6)\/(-10)*(12375\/810)\/55. Which is the fourth smallest value? (a) l (b) q (c) -5\/4 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 1:17 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 14*o + 19. Let y(i) = -2*i**2 - 13*i - 20. Let c(a) = 3*b(a) + 2*y(a). Let l be c(17). Solve 2*r + l*s + 2 = 3*s, -4*s = 5*r - 41 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27.8 times 19214\nAnswer: -534149.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 36\/(-45) - 158\/(-10). Suppose 0 = 7*l - q*l + 32. Is 26 a factor of 105\/4 + (-1)\/l + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -h**5\/60 + h**4\/4 - h**3\/3 + h**2. Determine o(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1530)\/(-66) - 4\/22 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -118447*g - 18714628. Determine z(-158).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -7272175972 to the nearest 100000.\nAnswer: -7272200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 141*y**2 - 4977*y - 534. Calculate j(-71).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 4*m + 3, 2*m - 1 + 16 = -5*o for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/11))**(-1\/38) assuming w is positive.\nAnswer: w**(1\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-45)*108\/(-27)*(-9)\/8?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 120 and 165.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1353.1 rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44481271 is divided by 11120317.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 2:47 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.018 plus 101161881.1419?\nAnswer: 101161881.1599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -3 - 1. Suppose d*b - 5*a = 8, b + 0*a - 13 = -2*a. Suppose -8*c = -b*c + 24. Does 8 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 18 = -8*r. Suppose r*n - 192 = -5*z, -4*z - n + 6*n + 161 = 0. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 6. Let w be (-3657)\/(-53) - 66 - 6\/2. What is the smallest value in 1\/9, j, w, 6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 165473542*z**3 + z + 178624361 wrt z.\nAnswer: 496420626*z**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -416750 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, m: 7, x: 1, w: 4}. What is prob of sequence amw?\nAnswer: 7\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 6354 * 0.2\nAnswer: 1270.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-9)*(-16)\/7552*-12.\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -6*n + 62. Let t be f(11). Let y be (t\/14)\/((-24)\/168). Let 0 + 3\/2*x**y - 3\/4*x**3 - 3\/4*x = 0. What is x?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16973 + 3293. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -15. Find the third derivative of 2*q**3 - 7*q**2 - u*q**3 + 6*q**3 wrt q.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, -0.2, 1\/12, 1\/27?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 282060 or 282080?\nAnswer: 282060","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6147 = -3*r - 4*u, 4*u + 0*u + 8168 = 4*r. Suppose 0 = -4*n - a + r - 323, -5*a + 440 = n. Is n a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-76)*2*35\/(1085\/31)?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - -76106357042327?\nAnswer: 76106357042327.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 159*y - 106. Let d(q) = 40*q - 26. Let f(r) = -9*d(r) + 2*n(r). What is the derivative of f(m) wrt m?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**3 - 7*x**2 - 3*x - 3. Let p(o) be the third derivative of o**6\/60 - o**5\/10 - o**4\/12 - o**3\/3 - o**2 + 70*o. What is 3*p(b) - 2*y(b)?\nAnswer: 2*b**3 - 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -w**2 + 2723*w + 2724 = 0.\nAnswer: -1, 2724","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2655389048?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*o**3 + 231*o**3 + 276*o**3)*(1 + o - 2*o - 2).\nAnswer: -515*o**4 - 515*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 302*a + 11. What are the prime factors of h(3)?\nAnswer: 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 678 + -674. Let q(m) = -2*m**3 + 6*m**2 + 6*m - 4. Let r(p) = -2*p**3 + 5*p**2 + 5*p - 3. What is n*r(b) - 3*q(b)?\nAnswer: -2*b**3 + 2*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1394)\/6 - 6\/9. Let m = r - -395. What is the greatest common factor of 18 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84665 and 88355.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, 116719, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1771.7 rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -112 + 112. Suppose 4*d - 2*j = 1094, -3*d + n*d - 3*j + 816 = 0. Is 23\/(6\/21 - d\/1127) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/14563603 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5 + 2 - 2*g - 7 + 15. Let a = 34 - 24. What is the remainder when j(-6) is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 9 = -2*i. Let t = 4 + i. Let y = 15 - t. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)*2*-6)\/sqrt(6)*-6.\nAnswer: 288*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 47*v**2 - 3*v**2.\nAnswer: 44*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*x**2 - 11*x**2 + 2*x**2 - 2*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*2.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 7383*t - 7376*t - 101, -5*x = 5*t + 85 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1652 and 139712?\nAnswer: 977984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2, 2\/5, -8\/7, 3\/53929?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 301948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 76\/133*2\/(-4)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -100 + -300424?\nAnswer: -300524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -802*c**3 + 401*c**3 + 399*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 4\/3 (b) -2\/7 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -785*v**7\/7 + 178*v**3\/3 + 2*v + 359. What is the third derivative of q(f) wrt f?\nAnswer: -94200*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n**4\/4 - 35*n**3\/4 - 3883*n**2\/4 - 43813*n\/4 + 23865\/2 = 0. What is n?\nAnswer: -37, -15, 1, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of 5*u**4\/24 - 19*u**3\/3 + 11*u**2. Let s be y(12). Let l = 22 - 17. Solve -30 = -l*t + 5*i, -3*t + 2*i + s = t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1118613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**4 + 72*c**3 - 198*c**2 + 192*c - 63 = 0. What is c?\nAnswer: 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*i**3 + 17*i**2 - 5*i**2 - 12*i**2.\nAnswer: -44*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/8)\/((-9)\/(-36)). Factor 2*v**u + 58*v**2 + v - 64*v**2 - 3*v**3 + 6.\nAnswer: -(v - 1)*(v + 1)*(v + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, j: 2, h: 2}. Give prob of picking 1 n and 3 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.7 + -0.2. Let v = 4 + -6. Let u = v + 1. What is the closest to u in -0.3, x, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1497643 is divided by 53471?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of 0 + 6*x + 0*x**7 + 0*x**5 - 11\/56*x**8 + 0*x**2 + 0*x**3 + 7\/6*x**4 + 0*x**6. Find the third derivative of f(n) wrt n.\nAnswer: -1320*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 38 = 14*j. Let c be ((-9)\/j + -3)*52\/(-8). Let l = 44 - c. Solve -n = -l*n - 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2805301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 7:20 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.037, 0.1, -20?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -4*v**7\/21 + 5*v**4\/4 - 7*v. Find the third derivative of d(h) wrt h.\nAnswer: -480*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -371 + 7 + 4*(-4)\/(-16). Let z = y - -365. Factor -2\/5*u**z - 4\/5 - 6\/5*u.\nAnswer: -2*(u + 1)*(u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1086*a - 34 = -34 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 5*q + 150. What is r(-31)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 2. Let b = 611 + -2393\/4. Calculate the common denominator of b and (185\/(-60))\/(0 + i).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -7*y + 1088. Let z(o) = -4*o + 1086. Determine -2*h(k) + 3*z(k).\nAnswer: 2*k + 1082","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 404*k - 404*k + 27*k**3.\nAnswer: 27*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -509, -889, -1269, -1649, -2029, -2409?\nAnswer: -2789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -670 = -2*u - f, 0*u + 341 = u - f. Let a = u + -334. Solve 2*j - 4*j = -10, 0 = -a*s - 4*j + 20 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(200)\/(sqrt(10)*-1))\/(sqrt(20)\/(sqrt(20)\/sqrt(4))).\nAnswer: -sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l - 2*l - 5*l**2 + l**4 + 8*l**2 - 2*l**2 - 3 to the form p*l + m*l**3 + r*l**4 + a + d*l**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -336492 - -3?\nAnswer: -33648a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -4.3\nAnswer: -21.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) -0.1 (c) -1540\/57 (d) -3 (e) -7\/9 (f) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 0*g + 2*g)*(-3*g**2 + 2*g**3 - 4*g**4 + g**2 + 2*g**4).\nAnswer: -2*g**5 + 2*g**4 - 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -36 + 4936b?\nAnswer: 49335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vzlbbwzvm. Give prob of picking 2 z and 2 v.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8885032*a**5 - 2*a**2 + 24268698*a wrt a?\nAnswer: 177700640*a**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2385 and 135.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*t - 12*t + 170. Let d be (-3 + 5)*2 - t. Suppose z = 3*n - 34, 3*n + 0*n + z = d. Calculate the highest common factor of n and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8581007009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 106 - 107. What is the closest to 2\/5 in 2, 0.5, s?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -1767727\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_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: Let w = -1.6 + 1.394. Let z = -4.794 + w. What is the fourth smallest value in -3, -4, z, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000011348647 rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/30 - (-3 - 4) - 6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*v**2 + 454548*v + 129872 = 0 for v.\nAnswer: -2\/7, 32468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is 115817 minus -2.99?\nAnswer: 115819.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 2*c - 12 - 4, 4*j = 2*c - 48. Suppose -5*i = a - c, -a + 2*i + 2 = -0*a. Calculate the smallest common multiple of a and 25.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -214? (a) -0.3 (b) 7\/2 (c) 8\/3 (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/44774903 or 1?\nAnswer: -2\/44774903","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.5, 3, 0, 2\/7.\nAnswer: -2.5, 0, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -13 - (-2068 + 2063) - -14.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - 40. Suppose -c + 4*d = 770, -2*c = 4*d - 7*d + 1530. Let x = c - o. What is x rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -18*q - 3. Calculate s(-4).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -c**4\/24 + c**3\/6 - 16*c**2. Let k(n) = 2*n + 2. What is k(b) - 2*t(b)?\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 8 - 4, 0 = 3*w + 4*s - 36686749. Let y = -628911 + w. What is y rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 84347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = 7*o - 72 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*y**2 - 1932 + 15*y**2 - 23*y**2 + 1932.\nAnswer: -81*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 p when four letters picked without replacement from pvxpujg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 6*z**3 + 2*z**2 - 13*z + 2. Let b be v(0). Solve 65*p = -3*y + 70*p + 19, -y = b*p + 1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -868 (base 14) to base 10.\nAnswer: -1660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -0.1 (c) -4\/7 (d) 3 (e) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/1105*-52)\/((-2)\/(-40))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -398\/12519?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -408 or -11863\/29?\nAnswer: -11863\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 87 and 236959?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4174833 to the power of 1\/4, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1177458 and 2010?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d - 9*n - 31 = -2*d + 11*d - 49, 3*d - 4*n - n + 26 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 16*r**2 - 29*r + 16. Let q be w(14). Solve 12\/7 + 24\/7*u + 9\/7*u**q = 0.\nAnswer: -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus -0.05295?\nAnswer: 0.04705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*v - 14, 0 = -5*s + 1 + 9. Suppose 0 = v*w - 2 - 4. What is the highest common divisor of 12 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3 - 2 = 4*s, 4*s + 3 = 3*l. Suppose -3*z + 121 = 2*g - 0*z, s = g - 4*z - 66. Is 21 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 - 7 = 5*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -3\/5 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 338, -5\/3, 2\/4221?\nAnswer: 338","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 62 = -40*g + 34*g, 5*g - 15 = -5*m. Let j(p) = -p. Let z(f) = f - 1. Determine g*j(b) - 2*z(b).\nAnswer: 3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, f: 2, v: 6, s: 2, h: 2}. Give prob of sequence ss.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26586315673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k + 16. Let z be u(-10). Let q be -14 + 10 - 3*-1. Let x be 6\/21 - q\/21. Put x, -2\/7, z in increasing order.\nAnswer: -2\/7, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**2)**(-4\/11)\/((n\/(n**8\/n)*n*n)\/n*n*n*(n**(4\/11)\/n)\/n) assuming n is positive.\nAnswer: n**(43\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b + 56. Let p(h) = 3*h - 57. What is -5*j(s) - 6*p(s)?\nAnswer: -8*s + 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-22)\/(-8))\/11 + (-638)\/(-8). Let n = w - 78. Suppose 4*y = 4*l + 68, n*y - 4*l + l = 29. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17825220 divided by -441.\nAnswer: -40420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/31)*w*w**(-7) assuming w is positive.\nAnswer: w**(-188\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4*(sqrt(931) + -1 + sqrt(931))*2 - (sqrt(931) + 2*(sqrt(931) + sqrt(931)*1 + sqrt(931)) + 4)))**2.\nAnswer: -11592*sqrt(19) + 4432635","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4182 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0\/f**(-2))\/(f**(1\/5)*f\/(f*f\/f**(2\/9)))*((f**(-2)\/f*f*f)\/(f*f**(1\/5)))**(-24) assuming f is positive.\nAnswer: f**(2492\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -4\/5*b**5 + 0*b**3 - 14 + 4*b - 2*b**4 + 4*b**2. Find z such that l(z) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 3668*h**2 - 17 + 1835*h**2)*(h**2 + 3*h**2 - h**2).\nAnswer: -5499*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**2 + 6*x**2 - 2*x**2 + 3*x - x**2 - 3*x + (-x + 3*x - x)*(x - 4*x + 2*x) - 8*x**2 + 5 + 0*x**2 - 3.\nAnswer: -7*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1031571\/5 + -206304. Factor r*v - 12\/5*v**4 - 14\/5 + 44\/5*v**3 + 1\/5*v**5 - 14*v**2.\nAnswer: (v - 7)*(v - 2)*(v - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-4)*3\/75. Let b(x) be the second derivative of 2*x + 0*x**2 + 0*x**3 + 1\/21*x**7 - 2\/15*x**6 + g*x**5 + 0 + 0*x**4. Factor b(u).\nAnswer: 2*u**3*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -4*y - 29. Let m(r) = -5*r - 28. Give -3*j(a) + 2*m(a).\nAnswer: 2*a + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -4*m - 2. Let y be f(-1). Suppose 13 = 35*o - 52*o + 319. Solve -o = -y*w - 4*j, 13 = -w + 2*w + 4*j for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -12. Suppose -5*s + 293 + 492 = g. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) -0.3 (c) 2505 (d) 0.845 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t - 6. Let j be r(7). Let w be 2\/(-3) + 85\/j. Let g be (-2)\/w - (-522)\/30. What is the greatest common divisor of 85 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -11000110000011000?\nAnswer: 11000110000011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6879446233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/7)\/(f**4*f))\/(f*f**(1\/2))**12*(f*f\/((f*f*f**1*f)\/f))**(2\/27)\/((f**(-5)\/f*f*f)\/(f*(f\/(f*f**(-3)*f*f))\/f*f*f)) assuming f is positive.\nAnswer: f**(-3092\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(0 + 1 + -3). Suppose 2*o + 0*o = -5*o. Let a be o\/((-3)\/((-2)\/k)). Sort -3, -5, a in decreasing order.\nAnswer: a, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(84\/(-98) + (-543)\/(-903)) + 8. Let -6\/11*k**2 + x*k + 0 = 0. Calculate k.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4133281460 to the power of 1\/5, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 665574 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + 0)*-2 - sqrt(30)\/sqrt(90)*3.\nAnswer: -5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -72 and -1585587.68497.\nAnswer: -1585659.68497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -60?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 9*d + 19. Let j be i(8). Let f = j - 47. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6353 + -3356. List the prime factors of m.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23656149\/1828 + -12941. Is k at most as big as -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2289396625 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4 - w**4 - 12*w**4 - 5 wrt w?\nAnswer: -52*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o\/((o*o\/(o\/o**(-1\/6))*o)\/o)*o*o)*o**(-10) assuming o is positive.\nAnswer: o**(-67\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -5*s - 35 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(-1\/5))\/v*v)\/v*v)**(-9)*((v**(-2\/11)*v*v*v)\/v)**(-19) assuming v is positive.\nAnswer: v**(-2494\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.53, -0.05 in decreasing order.\nAnswer: 0.5, -0.05, -0.53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 892156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 + 3\/(3*(-3)\/6). Suppose 3*c = 4*u - 160 - 175, 0 = n*u - 4*c - 160. Suppose -2*l + 4*t + u = 0, 6*l - 2*l - 5*t = 166. Is l a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -5?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25596*y = 25467*y + 5409 + 654 for y.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2 + 8*k + 3. Let u(i) = -i**2 + 1. Let a(n) = -m(n) - 3*u(n). Let g be a(6). Let s be 4\/g - 58\/(-18). Solve 2*t - 2 = s*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1800.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12035 - 12035. Let o be ((0 + -1)*3)\/(-1). Solve y = -l - o + 1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 8:12 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 67 = 4*i, 0*i - 3*i - 5*h = 24. Let f = 54 + i. Let y(v) = v**3 + 6*v**2 - 8*v + 7. Calculate the remainder when f is divided by y(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 = 4*h + s, -28 = -h + 4*s + 20. Suppose 0*l - 30 = -4*l - 2*z, 0 = -4*l - 4*z + h. Let u = l + -6. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-14))\/(87\/(-1015)). What is the closest to v in 4, -1\/7, 1\/8, 0.3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from hiplbichiipl.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 330820 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1402 take away 10079?\nAnswer: -8677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180649815?\nAnswer: 3, 5, 19, 73, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 5, -1759, 2, 34, 0.\nAnswer: -1759, 0, 2, 5, 9, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31.661 * 146.9.\nAnswer: -4651.0009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -108 - -110. What is the lowest common multiple of 7 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 1 = u, -17*y + u = -13*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i**3 + 10*i**2 - 5*i. Let k(b) = -5*b**3 - 19*b**2 + 9*b. Determine -6*k(q) - 11*t(q).\nAnswer: -3*q**3 + 4*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/18 and ((-6)\/(-4))\/(6300\/12698) + -3?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 12) to base 6.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 137735, 137737, 137739?\nAnswer: 137741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 110266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 131113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 5 = -4*n - 5*t, 4*n = 2*t + 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -327d9b (base 14) in base 7?\nAnswer: -20360554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 8 = 5*y, y - 3*g = -g. Suppose y*v + v + 18 = 0. Let l = -1 - v. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**3 - 6242*u**2 + 4867198*u + 4873442 = 0?\nAnswer: -1, 1561","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c = 4*c + 5*t, 2*c + 5*t = 0. What is the derivative of 11 - 2 + 12*m**4 - 3*m**4 + c wrt m?\nAnswer: 36*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67187176.\nAnswer: 2, 7, 199, 6029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1171, -1169, -1169, -1171, -1175?\n\"Answer: -y**2 + 5*y - 1175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*r + 60866 = -38230. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4216 (base 8) to base 14.\nAnswer: -b26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9998*7.\nAnswer: -69986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36540)\/3132)\/(2\/(-36)*-10).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 2) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 - 291?\nAnswer: -289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -15 - 35 - ((-12 - (10 + -24)) + -7)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sx when two letters picked without replacement from vxs.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12\/7 in 2, -28, -5, 2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/20250998 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of 1\/6*a**4 + a**2 - 24 - 2\/3*a**3 - 2\/3*a. Let x(h) = 0. Calculate h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 4*n - 15, -2*n = -4*j - 2. Suppose s + 9 = 3*q - 0, -2*s + j = -q. Let u = s - 1. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 14 (c) -7.4 (d) 1\/3 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + (-3*sqrt(171)*3 - sqrt(171)) + (sqrt(171) + 1)*-1)**2.\nAnswer: 60*sqrt(19) + 17101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37 + 57. Find the common denominator of 69\/(-10) - (-10)\/k and -31\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 524287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2502 + -2500.451. Round o to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5625 and 373500?\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.29035 litres to millilitres.\nAnswer: 2290.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 - -110. Let d = r + -36. Let f = -44.00087 + d. What is f rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 o when two letters picked without replacement from {y: 1, o: 1, l: 2, z: 11, s: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -6*k**3 - k**2 - 164*k + 164. Calculate l(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41 - -24. Let q = -14 - n. Suppose 4*w = -q*s + 2*s + 143, -3*w = 4*s - 637. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10100 (base 3) to base 10\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seventy-one fifths of a kilometer?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.935819ug to grams.\nAnswer: 0.000008935819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1347883291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5203?\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 u when three letters picked without replacement from bbububbuubuuuuuuuu?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -494*q**7\/7 - 1615*q**3\/6 - 3134*q. What is the second derivative of s(m) wrt m?\nAnswer: -59280*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -8*a**2 - 19*a - a**3 - a + 3*a + 2*a**3 + 8*a. Suppose 5*o - 17 = -3*f, 4*o - 5 = f - 22. Let t be w(f). Solve -z - 3*z = t for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -335*o + 193*o**3 + 24*o**3 + 234*o**3 + 115*o**3 - 136*o**3 wrt o.\nAnswer: 2580*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 4 + 2*c**3 + 0*c**3 - 6*c**2 + 0*c**2 + 6*c. Is u(4) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.57 or -369\/19?\nAnswer: -369\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 3*l - 55 = -5*f, -5*f = -25. Suppose 3*y + 5 = -l. Let x(h) be the third derivative of h**4\/24 - h**3\/6 - h**2. Determine x(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1355740 and 742?\nAnswer: 9490180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -215 divided by -5.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -31 (b) -4 (c) 31 (d) -183 (e) 1 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -79, -149, -285, -505, -827, -1269?\n\"Answer: -3*g**3 - 15*g**2 - 4*g - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*t - 96957 = 11*t. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - x**2 + 1. Let v(b) = -12*b**3 - 18*b**2 + 18. Let w be ((-2)\/10)\/((-10)\/(-50)). What is w*v(m) + 18*r(m)?\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s - 7. Let q be o(4). Let z = -7 - -7. Let w = z - -5. Put q, 0, w in descending order.\nAnswer: w, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**3 - 338359*o**2 + 338360*o = 0.\nAnswer: -338360, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 26329 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -5*l - 7. Let z(c) = -c - 1. Determine -f(i) + 6*z(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (0 - 2) - ((-29 - -8) + 8).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -355*a**3 - 740*a**3 - 46*a**3 + (a - 2 + 2)*(-2 + 2*a**2 + 2) + 4*a**3 - 5*a**3 + 3*a**3 as r*a**3 + d*a + s + h*a**2 and give r.\nAnswer: -1137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-13456)\/(-20) - (93\/(-15) + 6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 6*m**3 - 3*m - 3. Let v be 20\/6 + (7 - 4)\/(-9). Let t(b) = 10*b**3 - 8 + 12*b**3 + 41*b - v*b**3 - 19*b - 30*b. Determine -8*s(p) + 3*t(p).\nAnswer: 9*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/8 + (-191)\/(-4). Suppose -5*r = 2*y + 1, -q = -5*y + 2*r + 2*r. Is 5 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1001350 = -17740*b - 646544 + 512534 for b.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 24*c**2 - 7*c + 5. Suppose 4*n - 4*k + 4 = 0, 0 = 3*n - k - 0 - 1. Let d be a(n). Which is smaller: 19 or d?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tb when two letters picked without replacement from {h: 2, r: 1, b: 1, p: 1, d: 1, t: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - r + 20 = 0, -8*x - 28 = -11*x - 4*r for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24520.\nAnswer: 2, 5, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -21, -14, -3, 12, 31, 54?\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -78? (a) 5 (b) -225\/83 (c) 2 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/6 + (-7137096)\/1766592. Let h = -5\/3067 + w. Calculate the common denominator of h and -55\/14.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -214, -968, -2172, -3838, -5978, -8604, -11728?\nAnswer: -15362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*g - 3 = 37*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**10*o))**(-47)\/(o\/o**(-2\/5))**(-2\/21))**29 assuming o is positive.\nAnswer: o**(204508\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*b**6 - 362*b**4 + 23*b**2 + 8*b.\nAnswer: 600*b**3 - 8688*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155615950.\nAnswer: 2, 5, 7, 53, 8389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4559 a factor of 3773953877?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4*v**2 + 2*v + 1. Let o be h(-1). Let r(k) = -k**2 - 3*k + 6. Determine r(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 183 by 4209.\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*d - 32*d + 15. Suppose f + 0*y = -5*y + 35, 3*f - 25 = d*y. Suppose 3 - f = -4*g + 4*w, 12 = 4*g + 3*w. Solve -4*r + r = g for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34\/(-85))\/((9*(-24)\/540)\/26).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2948 and 20178792.\nAnswer: 221966712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 1:46 PM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14032*c - 9*c**3 + 14032*c.\nAnswer: -9*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3841836 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*w**3 + 87*w - 676?\nAnswer: 9*w**2 + 87","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2287 or -2288?\nAnswer: -2287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.7 - -2. Let f = 0.72 - 0.02. Let t = f - s. What is the second biggest value in -2\/5, t, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 8:05 PM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17241 or 224144\/13?\nAnswer: 17241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -463, -939, -1421, -1909?\n\"Answer: -3*p**2 - 467*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -77*m + 867. Let t be x(-7). Calculate the greatest common factor of 76 and t.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(1 + -2) + (-110)\/5. Let a be s\/((-3)\/2 + (-150)\/(-108)). Calculate the greatest common factor of a and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 8 - 19*p + 0 + 24*p + 19. Let f be v(-5). Find the common denominator of 63\/4 and (15\/(-12))\/(f\/12).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 959?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.307 + -149.307. Let s = 156 + j. Let u = 0 + 0.1. Which is the second smallest value? (a) s (b) u (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1313?\nAnswer: 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 1592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38540070 and 135?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of 11*q**7\/14 + 14*q**3\/3 - q**2\/2 + 33*q. What is the second derivative of h(r) wrt r?\nAnswer: 660*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/2)\/p)\/(p*p*p*p*p*p*p**(3\/4)\/p*p*p*p*p))\/((p*p**(-14))\/(p\/p**(-19)*p*p)) assuming p is positive.\nAnswer: p**(99\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1053443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32.4 - 18.4. Let d = 50.800000698 + u. Round d to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 82 and 239.\nAnswer: 19598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 3*w, 647*s = w + 645*s - 10 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10226282 or 10226286?\nAnswer: 10226286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -56?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (387021\/(-92))\/(9\/(-12)) and 474.\nAnswer: 33654","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5820*d - 5543*d + 10764*d.\nAnswer: -599*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2421?\nAnswer: 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 28022.192 times -5?\nAnswer: -140110.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 150 + -223 - (8 - 40)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 67 - 66.999981. What is p rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1365 + 1360. Let c(i) = -3*i**3 - i**2 - 2*i - 3. Let y(d) = 6*d**3 + 2*d**2 + 4*d + 5. Calculate o*c(q) - 3*y(q).\nAnswer: -3*q**3 - q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 117 and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 695*w**5 - 523*w wrt w?\nAnswer: 13900*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 4\/152771503?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 44 + 38 = -3*m, 2*m = 3*y + 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 40?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 58, 59, 60?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2. Suppose 4*h = 4*q, -10 + 2 = -3*q + 5*h. Let l(k) = 2*k - 4. Let j(g) = 4*g - 9. Let t(n) = q*j(n) + 9*l(n). Determine d(t(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2 + 3*h - 13. Let s be v(3). Let o(g) = 2*g**3 - 29*g**2 + 14*g - 2. Let j be o(s). Let a(l) = l + 5. Let q be a(-8). Which is bigger: q or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 2*w**2 - 10*w + 3. Let n be j(4). Let r be (-3 + 3)\/n*(-3)\/3. Which is bigger: 1\/86 or r?\nAnswer: 1\/86","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42669)\/(-62064))\/((-121)\/(-4))?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is bccb6b54 + -5?\nAnswer: bccb6b4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6)\/14 + -4 + 9054\/7.\nAnswer: 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 5, 17\/2632 in decreasing order.\nAnswer: 8, 5, 17\/2632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28.058 + -0.058. Let r = -30 + u. Which is the biggest value? (a) r (b) 1\/3 (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 52.\nAnswer: -5\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.339 * 6557\nAnswer: 2222.823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-2))\/(10\/(-50)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q + 5. Let a be (3*-1)\/(36\/(-168)). Let g(l) = l + 2. Give a*g(m) - 6*r(m).\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-1) + (0 - -2). Let c = -4 + 10. Let m(s) = s**3 - 7*s**2 + 7*s - 1. Let k be m(c). Sort k, 3, p in increasing order.\nAnswer: p, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + n = -8. Let x(f) be the third derivative of f**6\/120 - f**5\/12 + f**4\/8 - f**3\/6 - 11*f**2. Calculate x(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -116667*w**3 - w**2 + 3*w + 5. Let q be c(1). Let r be q\/1*(-456)\/(-14). Round r to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(96)\/sqrt(4))\/sqrt(8))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.897 - -0.197. What is the fourth smallest value in 0.5, -1\/5, -5, x?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10863 - 3795 = 288*n - 13380 for n.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0.4 (b) -4\/3 (c) 168.5 (d) 5.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*b + 48 - 32 + 76 = 0. Solve -5*z - l + b*l + 26 = 0, -5*z + 3*l = -28 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24526*j - 6696 = -24278*j for j.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -7 + (8 - 6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1 - 201*p**2 - 4*p - 185*p**2 + 57*p**2.\nAnswer: -329*p**2 - 4*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -40*r**2 + 7*r + 1316. Let t(m) = 17*m**2 - 3*m - 563. What is 8*l(n) + 19*t(n)?\nAnswer: 3*n**2 - n - 169","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(833)*3)**2.\nAnswer: 7497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 1, 5, -1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of t**4\/7 - 4*t**3\/7 - 2*t**2\/7 + 12*t\/7 - 39. Factor a(d).\nAnswer: 4*(d - 3)*(d - 1)*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 3*z - 3. Let m be q(3). Sort 1, -5, m in descending order.\nAnswer: 1, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -1. Suppose 3*j + 1246 = -5*c + 4841, -j = 5. Let m = c - 719. What is the lowest common multiple of k and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -67373 - -5515?\nAnswer: -61959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 3.2. Let x = -0.759 - 0.041. Let f = x - p. Sort 0.2, f, 0.5.\nAnswer: f, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 20.8 and 0.165826.\nAnswer: 20.965826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 + 47. Let v be 9 + -6 + (0\/(-3))\/(-2). Suppose r - v*d = l - 1, -5*r + 7 = d. Solve -r*u - 4*k = -3*k, 5*u - 11 = 3*k for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 13308?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7.3, -8\/3, 4, 120, -1, 0 in descending order.\nAnswer: 120, 4, 0, -1, -8\/3, -7.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2179 is divided by 78.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3.983508 years?\nAnswer: 47.802096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3628\/20 + 9\/15. Suppose j + j = q. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-180)*-10)\/((-1)\/3)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*v + 118 = 488, 2*v - 1570 = -4*u. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 797280 is divided by 6371.\nAnswer: 905","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/10244 and -3*(-52)\/(-36) + 21\/252.\nAnswer: 10244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 1788 = 5*i + 1895, 373 = -17*l + 6*i for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.19 + 0.32. Let t = 0.166 - w. Round t to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -9. Let s = b + 4. Let m(y) = -y**2 - y**2 - 3*y**2 + 3*y**s. Let f(z) = z**2. Give f(m(u)).\nAnswer: 4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -294 divided by -2011647\nAnswer: 98\/670549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*b**2\/13 - 580*b\/13 - 128\/13.\nAnswer: -2*(b + 32)*(9*b + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2 - 2*t + 6*t + (-2 + 3 - 3)*(4 - t - 4).\nAnswer: 6*t + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + -4)**2 + 1*sqrt(7)*-4 + 3.\nAnswer: -92*sqrt(7) + 866","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 24*d**2 + 22*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 1, 5, -717\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21986 and 339771644.\nAnswer: 339771644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**2 - k - 5. What is t(6)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**2\/7 - 72777*g\/7 + 145550\/7 = 0.\nAnswer: 2, 72775","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87, 244, 507, 876, 1351?\nAnswer: 1932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + m)*((1 + 0 - 60)*(-12 - 32 + 9) + 1 - 4 + 2 - 6 + 2 + 5 + 4 - 1 - 1 + (5 - 2 - 1)*(0 + 1 - 3) - 1 + 1 - 1).\nAnswer: 2062*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2384, 5, 3\/2, -57.\nAnswer: -57, 3\/2, 4, 5, 2384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -97873836 and 0.04?\nAnswer: 97873836.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11\/1*(-2 + 0). Calculate the common denominator of 266\/(-10)*45\/(-216)*4 and (-2)\/1 + 19\/y.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 22, -3, 36, -4 in descending order.\nAnswer: 36, 22, 0, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*(-66)\/(-9)*(-4 + 2). Let p = 59 - y. Let o be (-10)\/p - 5\/(-3). Is o > 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1243168.2 rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9840017?\nAnswer: 11, 894547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4*i + 4. Let c(b) = -5*b - 3. Let l(k) = -4*c(k) - 3*w(k). Let v be l(-1). Let f be (12\/v)\/(6\/(-20)). Solve a + f = 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38094786 divided by -9\nAnswer: -4232754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**3 - 22*j**2 - 51*j - 6. Let a be b(-3). Solve -a*d - 15 = -21 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.3 - -5. Let n(r) = -r**2 - 11*r + 9. Let g be n(-11). Let f be 6\/g + (-8)\/30. Which is the nearest to f? (a) k (b) 2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -t**5\/60 - t**4\/6 + t**3\/2 + 3*t**2\/2 + 2. Let h(g) be the second derivative of r(g). What is h(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-1)\/(16\/(-24))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n + 7. Let f be q(-3). Suppose f*g - 6 - 17 = -5*c, 0 = -4*c - 20. Calculate the remainder when 23 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u**4\/2 + 265229*u**3\/4 + 8841*u**2\/4 = 0 for u.\nAnswer: -1\/30, 0, 8841","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and (510\/40)\/((-4)\/16*-3)?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -124, -214, -314, -430, -568, -734, -934?\n\"Answer: -a**3 + a**2 - 86*a - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -138*y**2 - 544638. Let i(m) = m. Calculate u(i(t)).\nAnswer: -138*t**2 - 544638","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -q*u**3*z**2 - 8*q*u**3*z + 2*q*u**2 + 2*q*z**2 + 6*u wrt u?\nAnswer: -6*q*u*z**2 - 48*q*u*z + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2196085, 4392171, 6588257?\n\"Answer: 2196086*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*(-2)\/(-8))\/((1440\/(-1134))\/(-80)).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 4*i - 3. Let n(x) = x**3 + 9*x**2 + 4. Suppose -7*z - 81 = 2*z. Let m be n(z). Suppose -5*c - 2*s - 16 = -6, -m*c - 26 = -2*s. Determine f(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -1382*y**3\/3 + 3*y**2 + 3*y + 694. Find the second derivative of k(d) wrt d.\nAnswer: -2764","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -415 - -543.7. Let l = -12.7 + y. Let c = l + -116.000079. What is c rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 4\/20)*1. Let t = 7 - 7.1. Which is the nearest to 1? (a) z (b) 0 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 5 + 0 - 4*f**2 + 5*f + 3*f**2. Let r be (20*1)\/2 + 0. Let l(v) = -v - 1. Determine r*l(u) + 2*m(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -111544599*o**3 - 95991979*o.\nAnswer: -669267594*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -10*g - 20. Let p be f(-3). Let n be (-3)\/(6\/(-4)) - 32. Let q be (n\/8)\/(p\/(-160)). What is the highest common factor of q and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/16)\/((-42)\/(1848\/55)) + 18\/(-32)\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 886 and 55050?\nAnswer: 24387150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 380.7 times -0.8?\nAnswer: -304.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000581 rounded to six dps?\nAnswer: 0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*29\/((-87)\/6). Let s = -19 + 12. Which is smaller: w or s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j**2 + 1. Let f be h(1). Suppose -3*l = -f*l. Suppose 2*y - 4 = -l. Solve 1 - 5 = -4*w - i, y*w - 2*i = 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-4)*(-56)\/252?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/5 - 11302*z\/5 + 31933801\/5.\nAnswer: (z - 5651)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(65) - sqrt(65)*-3)\/sqrt(5) - sqrt(13)))**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 10:03 AM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/5 (b) -0.1 (c) -0.04 (d) -6018\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*1\/2*60*(-10)\/(-960).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14892 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: Which is the closest to 1.7? (a) -4 (b) 63 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 457577 (base 9) in base 13?\nAnswer: 97c96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4*i**2 - 125*i + 643. Determine g(-36).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -164.57262 rounded to one dp?\nAnswer: -164.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -340.\nAnswer: -1\/340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.138934969427 minus -0.2?\nAnswer: 0.061065030573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 16 = 2*v + 2*v, -4*v = -2*q - 12. Suppose -425 = -0*a - 5*a - 5*n, 4*a = -v*n + 342. What are the prime factors of a?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33043*c**2 + 1 + 16455*c**2 + 16443*c**2 + 9*c to the form j + o*c + k*c**2 and give k.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of -s**7\/525 - s**6\/900 - 4*s**3\/3 + 28*s**2. Let q(z) be the first derivative of v(z). Factor q(b).\nAnswer: -2*b**2*(4*b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1316\/3 - 439. Let j be (-11 + 12)*2\/2. Sort 89, -2, k, j in descending order.\nAnswer: 89, j, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 2*a + 3*a - 3 + 2*a + 3 + 0*a - 2*a + 4*a + (2 + a - 2)*(-3 + 1 + 4))*(887 - 460 + 4105*a - 427).\nAnswer: 36945*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 3 = -3*j + a, 4*j - 2 = 2*a for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40777507\/612 + -266495\/4. Let c = -1249\/153 - -33\/17. Let r = c + f. Which is bigger: 2 or r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 6*l = 4*l + 9, 0 = -b - 5*l + 11. Let q be 5\/((-5 - b)*(-19)\/114). Solve 5*u = q - 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*g**3 + 75*g + 38*g**3 - 74*g + 51*g**2 - 73*g**3 in the form q*g**2 + t + n*g + j*g**3 and give q.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63 + 42 + 35 + (5 - 2).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -260653 (base 8) in base 10?\nAnswer: -90539","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-16)*76\/(-95)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s**2 + 280468. Let r(k) = -2*k. Give f(r(w)).\nAnswer: -12*w**2 + 280468","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 446*p - 39422 = -411*p for p.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70, 272, 600, 1054?\nAnswer: 1634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -122.888 + 123. Let x = w + 0.188. What is the nearest to -2\/5 in 57, -0.4, x?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - 3*d - 4. Let r be o(4). Sort r, -3, 5 in decreasing order.\nAnswer: 5, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) -4\/5 (c) 0.34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1144)\/(-520) - -2)*(-5)\/3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1766048 - -0.11944.\nAnswer: -1766047.88056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 55 + 206)*(2*z + 0*z - 3*z)*(-3 + 1 - 5).\nAnswer: 1120*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 11:09 AM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40335846689\/1320 + 336423950\/11. Let a = 26536 - s. What is the common denominator of a and 31\/15?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 - 0.2. Let r = 4 - 3. Let n be 15\/(-9) + r\/1. Which is the closest to n? (a) 2 (b) g (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31*c**2*m**3 - 32*c**2*m**2 + c**2*m - 2*c*m**3 + 4*c*m**2 + 1518*c wrt c?\nAnswer: 62*m**3 - 64*m**2 + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3*w - 31 = -127, 5*v + w = 92. Calculate the greatest common factor of v and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24697908*m - 901855.\nAnswer: -24697908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1580536 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78 - -157. Let y = o + -67. What is the remainder when 26 is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 140*o - 542. Let p be m(-4). Solve 2 = p*c + 8, 0 = l + 4*c + 7 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 9:22 AM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 30*q**2 - 30*q - 24. Give g(-29).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/2)\/(18\/192). Let u = 12 - d. Suppose -4*s + 10*s - 6 = 0. Sort 0, s, u in increasing order.\nAnswer: u, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -6*s**3 + s**2 + s + 7. Let m(d) = 5*d**3 - d - 6. Let h(b) = -6*g(b) - 7*m(b). Let q = -116 + 120. Give h(q).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -26493*o**2 - 3 + 26491*o**2 + 3. Let i(z) = -16*z**2 - 6. Determine i(w(k)).\nAnswer: -64*k**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 - 1)*(-5*w + 2*w + 2*w)*(-9 + 4 + 3 + (-2 + 2 - 1)*(17 - 36 + 83))*(w - 5*w + w).\nAnswer: 990*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 314*j**3*m - 91661*j**3 - 232*m**3 wrt m?\nAnswer: 314*j**3 - 696*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-1) + 2 + 6. Let b be (7950\/3)\/((-2)\/t). Round b to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 6. Let a = 12 - i. Suppose 8 - 25 = -t + b, 2*b = -a*t + 71. Solve -k + 3 = 3*r, -6*k + k + 5*r = -t for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 5*y**2 - 2*y + 5. Let x be w(-4). Let t = -0.3 + 0.3. Let s = t - -0.1. Which is the closest to s? (a) x (b) 0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6662*t**2 + 3079*t + 3091*t - 6168*t in the form s*t + a + h*t**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3223252157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 3076.91481 to the nearest one hundred.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -6.2 (c) -3\/7 (d) 5 (e) -0.3 (f) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 5*w**3 + 8*w**2 + 10*w + 39. What is the remainder when s(10) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 679 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2923.5 + 2923.501806. What is y rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five quarters of a minute?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1106825 is divided by 722.\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1660?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x**4 - x + x)*(-1 - 2 + 2) + (-50*x**2 + 995*x - 995*x)*(2*x - 2*x**2 - 2*x) as f*x**3 + r + y*x**4 + t*x + c*x**2 and give y.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 457, -1, -2, -3.\nAnswer: -8, -3, -2, -1, 457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3306 and 9048.\nAnswer: 171912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.729 - -0.311. Let s = b + -6. Let m = 16\/5 - 18\/5. What is the second smallest value in s, -0.3, m?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - -209)\/1 + -1. Let u = y - 79. Suppose -u = -3*v + 31. Calculate the highest common divisor of 36 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 441 and 490?\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 50\/20*((-16)\/(-126))\/(2340\/182)\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r**3 - 2*r + 2*r + (-2*r + 3*r - 4*r)*(-r**2 + 2*r**2 + 3*r**2) - r**3 - 2*r**3 + 4*r**3 + (r**2 + 0 + 0)*(5*r - 5*r + r) + 2*r**3 - 6*r**3 + r**3.\nAnswer: -9*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*p - 16 - 8 = -234 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 462\/147*(8 + -1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*h + 4*h + 24*h)*(3*h - 3*h + h) + (0 - 1 + 4)*(0 + 0 + h**2) + 2*h + 2*h**2 - 2*h + (h**2 - 5*h**2 + 0*h**2)*(3 + 0 - 4).\nAnswer: 47*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -26, -52, -88, -134, -190, -256?\nAnswer: -332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**2 + 10 - 10. Let x = 5 + 3. Let u(o) = -x*o + 3*o + 6*o. Calculate u(q(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 0*w - 4 - 2*w + w + 0*w. Let s be k(-5). Let z = -3156\/38825 - -2\/1553. Is z <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45311114 to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1324014 (base 5) to base 11\nAnswer: -19117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -452028, -904026, -1356026, -1808028, -2260032?\n\"Answer: -k**2 - 451995*k - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2117300 divided by 31.\nAnswer: 68300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -27*d**3 - 2*d - 1. Let i be j(-1). Suppose i*u + 11 = 29*u. Put -5, -2, 2, u in increasing order.\nAnswer: -5, -2, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 90607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-78)\/(-90) - 2\/10. Let o(i) be the first derivative of k*i - 2\/15*i**5 + 2 - 2\/3*i**2 + 1\/3*i**4 + 0*i**3. Let o(n) = 0. What is n?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, c: 1, q: 1, k: 1, h: 1}. What is prob of picking 1 w and 1 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -29201 divided by 29201\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20290321699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 9*s**3 - 4*s**2 - s + 12. Let p(g) = g**2 + 19*g + 22. Let f be p(-18). Is 10 a factor of c(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168 and 92370411?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5072 divided by -444.\nAnswer: 1268\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 + 27. Let c = o + -31. Is 9 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 105 - 73. Let p = -26 + g. Are p and 0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.3 - -6. Let d = -69 - -12. Let b = -56 - d. Which is smaller: b or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 65 + -4205?\nAnswer: -4140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 608, -3, -1, 10, -6 in descending order.\nAnswer: 608, 10, -1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 + 27. Let a be 36\/27*6\/v. Suppose -a*t = -t + 2*k - 62, -5*t + 365 = -k. Does 18 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9692\/7 + -1382. Find the common denominator of -35\/11 and r.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) + 0)*4)**2 + ((sqrt(77) - (sqrt(77) + 2*sqrt(77)))\/sqrt(7))**2*4.\nAnswer: 11440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 8:19 PM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 5*i - 4 + 2 to the form z + f*i and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-50)\/(-11925))\/((-6)\/54)\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1\/2, 3\/8, 30\/17, 5, 0.07 in ascending order.\nAnswer: 0.07, 3\/8, 1\/2, 30\/17, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 848*p**2 - 848*p**2 - 26*p**4 + (-p + 0*p + 0*p)*(-p**3 + p**3 + 2*p**3) + (2*p**2 - 2*p + 2*p)*(-2*p - 1 + 1)*(117*p + 340*p - 298*p).\nAnswer: -664*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 360 and 1008.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33*q*x**3 - q*x**2 - q*x + 8*q + 4*x wrt x.\nAnswer: -198*q*x - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**3 + 1245918*a**2 + 193974777150*a - 19992622175966 = 0?\nAnswer: -311531, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 18 (b) 0.4 (c) 5 (d) 235\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*c = -80. Suppose r - 6*r + c = 0. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -6. Let f be (2 + 4\/(-6))*6. What are the prime factors of f - (-2 + 0) - w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30624 and 30972?\nAnswer: 2725536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**2\/5 + 118*i - 72384\/5 = 0. Calculate i.\nAnswer: 174, 416","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3162148 divided by -1581074?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 20*z**3 - 8*z**2 - 18*z - 16. Let t(b) = -7*b**3 + 3*b**2 + 6*b + 5. Let j(w) = 2*s(w) + 7*t(w). Is j(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d - 104641 + 7*d - 7*d - 2*d.\nAnswer: d - 104641","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 (base 8) in base 4?\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0444439 and -254.74.\nAnswer: -254.7844439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 35963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/120 and 7\/264.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -37.5501 to one decimal place.\nAnswer: -37.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/94805 and 26\/18961?\nAnswer: 94805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -115 + 134. What is the remainder when 453 is divided by t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of 0 + 13\/9*q**3 - 66*q - 1\/5*q**5 - 2*q**2 - 2\/9*q**4 + 2\/45*q**6 + 1\/63*q**7. Suppose l(r) = 0. Calculate r.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*u = -24, -62*m + 11*u = -57*m - 66. Let j = -0.1 - -0.6. What is the nearest to m in -5, j, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 775607912 to the nearest integer?\nAnswer: 919","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 32*s**3 - s**2 - s + 1. Let a be (-4)\/(-8)*(-1 + 3). Let x be c(a). Let z = x + -22. What is the greatest common divisor of 72 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -870.369 to the nearest integer.\nAnswer: -870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-250285)\/14302)\/(1\/4)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/2314983 and -38\/239481.\nAnswer: 6944949","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 116543, 116544, 116545?\n\"Answer: c + 116542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2280, 1359, 16846, 50103, 107052, 193615?\n\"Answer: 987*n**3 + 2*n**2 - 3276*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-40)\/190)\/2)\/1?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-9\/8)*m\/m**8)**(-46) assuming m is positive.\nAnswer: m**(1495\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -7*m - 9. Let z be u(-4). Let p be (-4)\/(-16) - 51\/(-4). Let y = -7 + p. Solve -3*r = -3*i + y, 5*i + z + 21 = -5*r for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 191 and 2133852?\nAnswer: 2133852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01248504 rounded to five dps?\nAnswer: 0.01249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1810\/(-300) - -6)\/((-14)\/236). Let u = 1\/105 + v. Which is greater: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 31 = -27. Suppose 19 = -3*u + 4*n, 7 = -5*u + 3*n - 10. Is j at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tc when two letters picked without replacement from tmdpmcmdvdv.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 11?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4929919 = 3*d - 2*d. Let u = -3449919 + d. What is u rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -5*x - 28, j + 2*x - 18 = 7*x. Let p = j - -2. Find the third derivative of -3*t**3 + t**2 + p*t**2 + 9*t**3 wrt t.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -7*l**3 + 1365*l**2 - 1365*l + 1350. Give r(194).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 18089, 36143, 54197?\n\"Answer: 18054*c + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1204\/14687?\nAnswer: 1204\/14687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -344*h**2*n**3 + 87*h**2*n**2 - 2*n**3 + 8*n**2 wrt n?\nAnswer: -2064*h**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*n - 81*n - 5*p = -62, -3*p + 39 = -0*p for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -822*j + 2511?\nAnswer: -822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28515?\nAnswer: 3, 5, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2066 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -70 - 12*h**2 - 15045025*h + 15045025*h - 2 in the form r*h**2 + f*h + x and give x.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1027036337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -333 + 323 - (0 + -47 + 4).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4110? (a) 2\/5 (b) 0.2 (c) 6\/17 (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 136849849 to the power of 1\/4, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.2 (b) 0.5 (c) 0.4 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 1\/2, -11\/7, 0.4, -24?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 116, -2, -0.5, -17, 1\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 1292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11122 (base 5) in base 9?\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 38343 to the power of 1\/2, to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 82788 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 3)\/(2 + 11\/(-5)). Let f be (3 - 19)\/(3 - u). Solve -2*y + 5*y = -4*a - 12, 0 = -2*y - 5*a - f for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {s: 1, r: 12, x: 3}?\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k + 5*k - 5*k + (3*k - 5*k - k)*(-1 - 5 + 3) + 35 - 35 + 13*k.\nAnswer: 24*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/88*-2*1\/6*-2?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3209344?\nAnswer: 2, 25073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 114589904 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 74 + -116. Let i be u\/4 + 2\/(-4) - 2. Calculate the lowest common multiple of i\/((-182)\/88) - 2\/7 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 9:59 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (11\/(-2))\/(825\/(-2250))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41239916351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t + 2*t**4 + 0*t + (t**3 + 3*t**3 - 2*t**3)*(4*t - t - 2*t) + 0*t**4 + t**4 + 0*t**4.\nAnswer: 5*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -5*p**3 + 13*p**2 - 77*p + 61. Let l(x) = 29*x**3 - 67*x**2 + 386*x - 304. Let u(i) = -11*h(i) - 2*l(i). Let u(g) = 0. Calculate g.\nAnswer: -7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*k = -58*k - 4563. Let w be (-29*19\/(-3))\/(7\/21). Let d = k + w. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 26 + (-2)\/(1 + 0). Suppose 8 + r = -4*s. What is the tens digit of 9\/((-36)\/s)*26?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gfgg when four letters picked without replacement from gfgffjg.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/10 (b) 50 (c) -1\/3 (d) 0.0313\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20252 - 20252 - 41*y + 15*y + 18*y + 11*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**3 - 84483*b**2 + 84486*b = 0.\nAnswer: -28162, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 q, and 1 o when three letters picked without replacement from ueuuehqeuuqouootqo?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 2*c + 8. Let j be b(4). Let v(q) be the second derivative of 1\/42*q**4 - 1\/70*q**5 + 0*q**3 + 0 + q + j*q**2. Find n, given that v(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in centimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(88) - -1*sqrt(88))*-1 - sqrt(88))\/(2*sqrt(200) - sqrt(200)).\nAnswer: -3*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1198954939.\nAnswer: 7, 13, 43, 61, 5023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 1 + -5 + 8 + -7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c*q**5 + 112*c*q**2 + 12*c*q - 2*c - q - 2 wrt q.\nAnswer: -20*c*q**3 + 224*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -138614576 and 1.99597?\nAnswer: 138614577.99597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1467 - -1469. Factor -10\/3*j + 1\/3*j**k - 11\/3.\nAnswer: (j - 11)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 23*f - 2. Let w(x) be the second derivative of 4*x**3\/3 - x**2\/2 - 9*x - 4. Calculate -6*j(c) + 17*w(c).\nAnswer: -2*c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*g - 51*g = -4*u - 32, 20 = -5*u + 5*g for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -9 (b) 21 (c) -1\/8 (d) 2\/3 (e) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 477 and 46587?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9539393467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 8*n. Let i be q(-10). Let s = 39 + i. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -149*n**2 + 15*n - 102*n**2 + 207*n**2 + 205*n wrt n.\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.984 - 4. Let v = 0.067 + d. What is v rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -366909.0468223 + 0.0468223. Let n = -366908.269957 - q. Let v = n + -0.73. What is v rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4536 and 23004.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/5*10\/(-4). Suppose -2*r - 6 = -2*p, -3*r - 5*p + 6 = -25. Suppose -a - t*u + 27 = 2*a, r*u = 0. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/150890976 and -109\/240?\nAnswer: 754454880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2042727 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 819\/4 - 195. Calculate the common denominator of z and -35\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/8*(-96)\/(-84). Let y be 4\/(-132)*1*-6. Which is the closest to i? (a) y (b) 2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11481911 (base 10) to base 6.\nAnswer: 1050032555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f = -11*g + 97, -134301*f + 5 = 3*g - 134304*f - 46 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 498 is divided by 75.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in 16, 2\/11, 0, 0.54?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -6*m**2 - 389*m - 116. Let r be i(-62). Calculate the greatest common divisor of 1206 and r.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.094675721 times 0.3\nAnswer: 0.0284027163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 58, 62, 66, 70?\n\"Answer: 4*l + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 11 = -3*d + n, 0 = 3*d - 2*n - 14. Let z(y) = -2*y**2 + 6*y + 3. Let t be z(3). Solve -5*m = t*a - 11, 4*m = -2*a - 2*a + d for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + 9. Let h(b) = 5*b + 574. Let k(v) = 3*c(v) - h(v). Differentiate k(r) wrt r.\nAnswer: 6*r - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**0*u))\/u)**32 assuming u is positive.\nAnswer: u**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*r - 3*r + 18 = 5*w + 2, w + 12 = -w - 4*r for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y + 2*m - 78, 4*m = 7640 - 7644 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of i**5\/20 + 5*i**4\/4 + 17*i**3\/6 + 8*i**2 + 56*i - 2. Let z = 601 - 615. Give j(z).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17 minus 1024308?\nAnswer: -1024307.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*t**2 - 12*t**2 + 9*t - 7 + 8 to p*t**2 + y + i*t and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -150037883*n**2 + 200948475 wrt n.\nAnswer: -300075766*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - -8. Let z(j) = -j**3 - 3*j**2 - j + 3. Calculate the remainder when z(-4) is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17527270 divided by 8763635?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -7. Suppose -5*k = 25, 2*w - 7 = 6*k - 9*k. Calculate the smallest common multiple of -2*1\/i*-16 and w.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6017096713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 669426778?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/3508455?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*o + 10 = 0. Suppose p = o*p - 10. Suppose -2*j - p = -58. Calculate the remainder when j is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(5\/(-7) + 1). Let j = i - 12. Let f(l) = -119*l + 1553. Let z be f(13). Calculate the highest common factor of j and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 11, 4\/3, 9 in decreasing order.\nAnswer: 11, 9, 5, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2009309?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14099, -28143, -42187, -56231, -70275, -84319?\nAnswer: -98363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 216454 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**1)**(1\/71))**(-2\/5) assuming i is positive.\nAnswer: i**(-2\/355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 716\/(-24) + (-4)\/(-3) and -36.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/5 of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 92742?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 8*d + 7. What is t(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*o - 11. Suppose 14 = -o*g + 4*g. Is 14 a factor of 24\/(-16)*2*g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sjss when four letters picked without replacement from sssjssjj.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29.736 - -0.116. Round r to zero dps.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6303 + 9435169?\nAnswer: 9428866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = m - n, m - 11 = -2*n - 3*n for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 1935 = 5*z, z + 4*b = -2*z + 1160. Suppose -8*c - z + 404 = 0. Solve -2*i + 5*i + c = -j, j - 1 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*l**3 - 44*l**3 + 0*l + 2*l.\nAnswer: -127*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/(-14) + (-135)\/21 and 83\/28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25455 by 28.\nAnswer: -25455\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that x**2\/5 - 1548107*x\/5 = 0.\nAnswer: 0, 1548107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.23 - -0.16. Let u = 23644 - 118222\/5. What is the nearest to 0.4 in u, c, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26431 (base 7) to base 14\nAnswer: -2818","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 274788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*b - 10 = 22*b + 5*p, 5*b - 2 = p for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -308 (c) -0.01 (d) 78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 15\/(5\/(-2) - -4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.59*0.5\nAnswer: 0.295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 271*y + 56 = 264*y. List the prime factors of 8\/(-5)*20\/y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -42, -92, -172, -288, -446, -652?\nAnswer: -912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -905\nAnswer: 1810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1088) + -2)*-4 + 5*(3 + sqrt(1088)))*-6*5)**2.\nAnswer: 331200*sqrt(17) + 1455300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 124 - 123. Sort -2\/3, v, -3, 0 in decreasing order.\nAnswer: v, 0, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -1310?\nAnswer: -1233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46 - 25. Is f a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of 16*o**5\/5 - 4*o**4 - 28*o**3\/3 - 4*o**2 - 12. Factor s(m).\nAnswer: 4*m*(m - 2)*(2*m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 132*d + 2069. Let h be l(18). Calculate the highest common divisor of 1 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 5*z**2 + 4*z - 12. Calculate o(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.16 less than -4.38591148?\nAnswer: 0.77408852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(3584) + sqrt(56))\/sqrt(8).\nAnswer: 17*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 51095428961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 3*m)*(1 - 5 - 2 + 7658*m**2 - 150*m**2 + 6).\nAnswer: 22524*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -11*d**2. Let t(m) be the second derivative of -55*m**4\/3 - m**3\/6 + 21*m - 14. Calculate t(v(p)).\nAnswer: -26620*p**4 + 11*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-5))\/((-4)\/(-10)). Let b(z) be the first derivative of -z**2 + z - 467. Let a(o) = o. Suppose -y = -3*y - 2. Calculate x*a(i) + y*b(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 at most -1515936?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -95 - -87. Let p be 0 + -1895 + 40\/n. Round p to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*r - 134 + 90 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - 53286002016751?\nAnswer: -53286002016768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6227 - 2142. List the prime factors of f.\nAnswer: 5, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 + 19. Let m = -3 + 3.2. Sort -1, m, o in descending order.\nAnswer: m, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -0*h - h. Suppose 43 = y + h. What is the remainder when y is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 885 and 1106545.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 4*o - 4. Let t = -96 - -100. Let i = 2 + t. Let x be g(i). Let h(k) = -k**3 + 9*k**2 - 10*k + 9. Determine h(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 - 5)*((2 + 2 - 5)*(0*o - 3*o + o) - 3*o - 3*o + 3*o + 0 - 2*o + 0).\nAnswer: 24*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 162594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8606824 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 14) to base 11\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 124525350 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/3, -0.143, 4\/9, -2\/13?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-51)\/57)*(40 - 41)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 534 - 491. Which is greater: 42 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 9 - 17 = 2*d, 12 = -4*d. Sort -0.3, m, -0.1, 0 in decreasing order.\nAnswer: 0, -0.1, -0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 1 - 1)*(-5*f**2 + 3*f**2 + 0*f**2) - 538*f**3 - 10669 + 10669 + 2*f**3 - 2*f**3 + 3*f**3.\nAnswer: -531*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10031*t**2 - 23260*t**2 - 5714*t**2 - 8008*t**2.\nAnswer: -47013*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**3 - 12138*b**2 - 6835232*b = 0?\nAnswer: -11546, -592, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 19\/4 of a millennium?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-14)\/3 - -2) + 1\/(-3). Suppose 42*u - 47*u - 2*n - 3 = 0, 0 = 2*u + 2*n + 6. Which is the third smallest value? (a) y (b) 73 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l - 5. Suppose 0 = 6*f - 3*f + 3*z + 21, f - 4*z = 3. Let n(k) = -k - 3. Let q(w) = f*n(w) + 3*r(w). Let a be 3\/7 - 93\/21. Give q(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 4, 25, 30 in descending order.\nAnswer: 30, 25, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -56*b**3 - 543*b**2 + 128*b**2 - 3150*b + 184*b**3 - 61*b**3 - 62*b**3.\nAnswer: 5*b*(b - 90)*(b + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 33 - 14 - 6 - 5*g - 5. Calculate j(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 8*a - 33. Let c be q(-11). Suppose 0 = -c*j - 17*j + 85. Solve j*o + 3 = -7 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -244107, -244108, -244105, -244098?\nAnswer: -244087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 522*u - 35573. Give v(-61).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2629895989.05 and 0.5.\nAnswer: -2629895988.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1372) + sqrt(1372)*-2)*1)\/(6*sqrt(12)\/sqrt(3) + sqrt(576) + (sqrt(576) - 2*sqrt(576))).\nAnswer: -7*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -602 (base 7) to base 12\nAnswer: -208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*g + 45*g - 138*g + 43*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -3\/58 (c) -0.1 (d) 2 (e) 0.103 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5\/13 (b) 1333 (c) -9 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 483 a factor of 660744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (3 - (2 + -4))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (154*385\/8624)\/(2*33\/24)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(-2\/61)*t**22 assuming t is positive.\nAnswer: t**(1405\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34 + 26*z + 34 + 5*z to p + y*z and give y.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -7*j - 5335. Let z(u) = 9332*u. What is m(z(n))?\nAnswer: -65324*n - 5335","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*-1*(-3)\/36. Let q(l) be the second derivative of -2\/3*l**3 + 0 + 3*l + 1\/2*l**2 + w*l**4. Determine q(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -465, -1972, -4501, -8064, -12673?\nAnswer: -18340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319581704.\nAnswer: 2, 13, 236377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/148*(-4)\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4915, 9832, 14749, 19666?\n\"Answer: 4917*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 n when two letters picked without replacement from wxnrwnud?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -5. Suppose -3*m + 37 = 3*o + 1, -2*m - 25 = -5*o. Let v be 2\/o + 23\/(-7). Sort 4, z, v in ascending order.\nAnswer: v, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80\/300)\/(3 - (-22)\/(-6)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13746?\nAnswer: 2, 3, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 61\/3, -0.3, 0.3 in decreasing order.\nAnswer: 61\/3, 0.3, 0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29520 = 88*l + 98*l + 183*l. Let x = -782 + 1182. Calculate the highest common factor of l and x.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 - -34. Suppose -4*o - 4*y = -25 - 115, -3*y - 6 = q. List the prime factors of o.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from ccccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -x**2 + 13*x - 21. Let n(o) = -o + 6. Let v(m) = -7*n(m) + 4*r(m). Determine v(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10000?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(1\/4))\/w)\/w**(1\/4))\/(w**(-14)\/w**(-13)) assuming w is positive.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 98 = 22. Suppose 84 = -2*g - 2*g. What is the tens digit of g\/2*w\/(-35)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millimeter in micrometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-18 - (1 - 3)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3 = -129. Let w be (-3 + (-165)\/u)*(-9)\/12. Find d such that 12\/7*d - w*d**2 - 18\/7 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 4*r = 3*a - 68, 73 = 3*a + 5*r. Let t = -16 + a. Let z = -11 + 13. Solve 0 = -t*x - z*x - 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000488346 rounded to seven dps?\nAnswer: 0.0000488","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 578212.3 litres to millilitres.\nAnswer: 578212300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 732 - 725. Let m(k) be the third derivative of 0 - v*k**2 + 0*k - 1\/12*k**4 + 0*k**3. Let b(q) = 3*q. What is m(b(w))?\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -81, -2, -2\/11, -1\/2 in decreasing order.\nAnswer: -2\/11, -1\/2, -2, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-2) - (94 + -103)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one twentieth of a milligram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1120769590.\nAnswer: 2, 5, 37, 1129, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-18)\/(-10))\/((-54)\/(-180)). Let z be (-10*(-1)\/r)\/((-11)\/(-66)). Suppose -z*m - 22 = -142. Calculate the remainder when m is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.02, 18899, -0.2, 6.\nAnswer: -0.2, 0.02, 0.3, 6, 18899","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(190)*1 + sqrt(190)) - sqrt(190) - sqrt(190) - sqrt(190))\/(sqrt(810) + sqrt(810)*-4 - sqrt(810)))**2.\nAnswer: 19\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 0 - 1 - 4*n**4 + 0*n + 0*n. Let b(v) = 4*v**4. Let j(t) = 6*b(t) + 5*o(t). What is the derivative of j(g) wrt g?\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/1 + (-1 - 4). Let h = -6 - -9. Let c(x) = -5*x**3 - x**2 + 2*x - 1. Let t be c(1). What is the closest to 2 in s, h, t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2690, -2687, -2684, -2681, -2678?\n\"Answer: 3*s - 2693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -5.5. Let i be (-30)\/(-12) + -3 - (-15)\/6. Which is the second smallest value? (a) d (b) i (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5 = 2. Suppose -l*n - n + 36 = 0. Is 3 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45.417 * -5\nAnswer: 227.085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9579957, 19159913, 28739869, 38319825, 47899781?\n\"Answer: 9579956*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - v - 0*v - 970, u - 175 = 4*v. Does 7 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16)\/7 + 10\/35. Let p = -10 - -10.3. Which is the biggest value? (a) v (b) 4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 10 = -8*d - 2*p, -5*p + 17 = 2*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -4*n + 102 - 7, 4*o = -3*n + 70. What is the smallest common multiple of 24 and n?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 943, -20 in ascending order.\nAnswer: -20, 4, 943","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -37*u + 337. Let i(m) = 830*m - 7415. Give -2*i(s) - 45*x(s).\nAnswer: 5*s - 335","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 2 + -2 + -39 + 42.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2387846737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 107827?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1898 is divided by 40.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2020 = -62*c + 78*c - 218*c for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0275185136 rounded to four decimal places?\nAnswer: -0.0275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.842706607 to one decimal place.\nAnswer: -5.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttuuttttttuuuutttt. What is prob of picking 1 u and 1 t?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (((-25)\/10)\/5)\/(12\/24)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1928 (base 12) in base 13?\nAnswer: -1511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31 and 412579.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of 3*x**3\/2 - x**2 - x. Calculate the remainder when v(2) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -efa7 + -2?\nAnswer: -efa9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -5. Find the second derivative of 5*d + 2*d**2 + 2*d**2 - 6*d**2 + d**b wrt d.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, u: 1, q: 4, i: 2}. What is prob of sequence ju?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jr when two letters picked without replacement from rxrrrxrrjrrjrxr?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/138 + 271\/690. Suppose 41000*r = 41016*r + 192. What is the closest to 1\/4 in -5, r, h, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(5 + 2*-5*(2*sqrt(1872) + -2)*5*-1))**2.\nAnswer: -2052000*sqrt(13) + 168561225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1071 + -1218. Let g be 1 + 8 - q\/(-21). Suppose 32\/15 + 16\/15*l + 2\/15*l**g = 0. What is l?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -3*g**2 - 10164*g + 81504 = 0?\nAnswer: -3396, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + f**2 - 4*f + 2. Let k be o(0). Let x(v) = -2*v + 0*v**k + 2*v**2 - 69 + 68. Give x(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**2\/((f\/(f*f**(5\/4)))\/f))**(-36)\/((f**(-2)*f)\/(f*f**(2\/13)\/f)*f**(2\/3)\/(f\/f**(1\/2))) assuming f is positive.\nAnswer: f**(-11857\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000031888 rounded to 7 decimal places?\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q - 4*f, -16 = -3*q + 3*f - 5*f for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, 1\/11, 5.159, -0.1, 4?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pspsppp. What is prob of sequence sp?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rvvrrvrvrrrvrvrvvvvv. Give prob of sequence rv.\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -123, -228, -347, -486, -651?\nAnswer: -848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -448, -1489, -3518, -6865?\nAnswer: -11860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o**2 + 0*o**2 - 2*o**2 + (0*o + o + o)*(0*o - o - 3*o) + (3*o**2 - 2*o**2 + o**2)*(6 + 4 - 5) + 3*o**2 + o**2 - 3*o**2.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**3 - 90*x**2 - 94*x + 89. Give g(46).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/372 and 65\/15405456.\nAnswer: 477569136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/89044 and 43\/22?\nAnswer: 979484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6498039 is divided by 18619?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 5*s = -11*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10521*v**3 + 46*v**4 - 18*v**2 + 72*v - 45*v**4 - 10526*v**3 = 0. What is v?\nAnswer: -4, 0, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6141*m**4 - 2*m - 906 wrt m.\nAnswer: 73692*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 14*p - 22 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6259419 and 657.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.2 - 0.2. Let z be ((-22)\/(-88))\/((-14)\/16). Which is the nearest to -0.3? (a) -0.2 (b) j (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -76 (base 11) to base 2\nAnswer: -1010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (17 - 2) - -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 174 + -96. Suppose 5*t = w + 2*t - l, 2*w - 4*t - 146 = 0. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1688 + 522 = -17*i. Let o = -124 - i. Solve 22 = -4*a + o for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -229 + 405. Suppose 0 = -2*o + h + 807, o + 5*h - x - 211 = 0. List the prime factors of o.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50367319 to the nearest integer?\nAnswer: 7097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 491274 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*g - 2*g - 7 = 0, 34 = 5*n + 4*g. Let l be -14 + 18017 - n\/2. Suppose -7*d + 3*d + l = 0. What is d rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 8:23 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -47*t - 45*t - 92. Suppose 3*w = 15, 20 = 6*u - 3*u + 4*w. Sort 5, t, -4, u.\nAnswer: -4, t, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -10. What is the derivative of w - 7 - q**4 - 2*q**4 wrt q?\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-5) + -1 + 59 + 2436\/(-42).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -562*s**2 - 329*s**2 - 705*s**2.\nAnswer: -1596*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*x + 11101 - 11244 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 - -40. Calculate the remainder when 1572 is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence immm when four letters picked without replacement from miimimmimiiimmii.\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8108917 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-3*(-1 + 5*(-2 + sqrt(847)) + (sqrt(847)*-2 - sqrt(847))*-6)*3)**2.\nAnswer: -11271150*sqrt(7) + 907572600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 9) to base 10.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(-w + w - 10*w)*(3*w + 2*w + 4*w)*(-1 + 1 + 1).\nAnswer: 90*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*i - 22. Let k(o) be the third derivative of -2*o**2 + 1\/12*o**4 + 0*o**i + 0*o + 0. Let v(t) = 2*t. Calculate k(v(h)).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4857\/170 - -143\/5. Put -2, r, 2 in ascending order.\nAnswer: -2, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((20\/(-60))\/((-1)\/6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most as big as 12\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001920315818 rounded to seven dps?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 232 = 240 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 3:26 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - 15*b + 12. What is the remainder when c(-13) is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66950 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 602.2431 years to decades.\nAnswer: 60.22431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1122 and 2286966.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/9)\/((-30)\/(-540)) - (-23 - -49)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/sqrt(54))**2 + 3.\nAnswer: 46\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/3 + 4*c**2\/3 + 6*c - 12.\nAnswer: -2*(c - 3)*(c - 2)*(c + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6463 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 390*z + 28 = 394*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -123, -326, -589, -906, -1271, -1678, -2121?\n\"Answer: h**3 - 36*h**2 - 102*h + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16812131 to the power of 1\/2, to the nearest integer?\nAnswer: 4100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 778.3, 0.3, 41?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45084495?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 p when four letters picked without replacement from {w: 13, p: 6}?\nAnswer: 195\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*l - 37 - 88 - 73 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 15*y - 56. Calculate r(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {y: 1, t: 1, z: 3, p: 6, j: 3, l: 5}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -401 - -576. What is the second derivative of -4011 + 4011 + 108*w - m*w**3 wrt w?\nAnswer: -1050*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 53*v**3 - 10*v**2 + 5*v + 27. Let w(x) = 18*x**3 - 4*x**2 + 2*x + 10. Let q(k) = 6*j(k) - 17*w(k). Let b(l) = -l**3 - l**2 + 1. Give 8*b(c) + q(c).\nAnswer: 4*c**3 - 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -579 = -5*x - 0*v + 2*v, 3*x - 3*v - 351 = 0. Calculate the greatest common factor of x and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*h + 33175 + 8234 = 0. What is the least common multiple of 24 and h?\nAnswer: 2568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371247.2 micrometers in nanometers?\nAnswer: 371247200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 149*f + 351. Let o be i(9). Let v(c) = c**3 - 5*c**2 + 5*c. Let a be v(4). Find the first derivative of 1692*g**3 - o*g**3 - 24 + 22*g**a wrt g.\nAnswer: 88*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6\/37 - 116\/259. Which is the biggest value? (a) h (b) -3\/5 (c) 2 (d) 16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-34)\/10 - 2\/(-5). Let i be 2\/x*(-30)\/4. Let c(j) = i*j - 2*j - 2*j. Let u(a) = -2*a**2. Give u(c(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 2 = -4*p + 5*s, -3*p - 8 = 5*s for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/4 of a millennium?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 671 divide 73408742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13867 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + c = 305. Let q = c + 101. Let t = 85 - q. Calculate the remainder when t is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*((-84)\/54)\/7.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10.98 + -11. Let s = 0.14 + r. Round s to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 22*p**2 + p. Let g = 1 + -2. Let n be y(g). What is the remainder when (1*2)\/(6\/n) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 8 + 4. Let j(m) = -3*m + 4. Is j(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**3 + 72*i**2 + 77*i - 43. Calculate l(37).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-1)\/(-6)*(-1)\/2\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 40*k**2 - 9. Let n(m) = 3. Let i(u) = -2*n(u) - q(u). Let s(d) = d**2. Give s(i(l)).\nAnswer: 1600*l**4 - 240*l**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64548219 and 4167?\nAnswer: 1389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5991 + -5991.2. Which is the biggest value? (a) 3 (b) m (c) 0.3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 413541.34 to the nearest one thousand.\nAnswer: 414000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*18\/54*4\/(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xv when two letters picked without replacement from {d: 3, e: 6, v: 3, x: 5, m: 1}?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*q**2 + 2*q + 21*q**2 + 5*q**3 + 2*q**3 to r*q**3 + x*q**2 + z + n*q and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of 0 + 0*z**7 + 0*z**5 - 7\/3*z**4 + 0*z**2 - 27*z + 1\/14*z**8 + 0*z**6 + 0*z**3. What is the third derivative of u(w) wrt w?\nAnswer: 480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.3998 - 2.229. Round a to two dps.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5848 - 5565. Solve 289*q = a*q - 24 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 449604 is divided by 259?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-530)\/(-424)*12\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a**2*c**3 - 1117*a*c**3 + 78564*c**3 wrt a.\nAnswer: -2*a*c**3 - 1117*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56694 is divided by 700?\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4\/5))**(3\/11)\/(((c\/(c\/((c\/(c\/(((c\/c**(-1))\/c)\/c))*c)\/c)))\/c)\/c*c\/(c\/(c**(1\/2)\/c))*c) assuming c is positive.\nAnswer: c**(141\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -1)\/((-23)\/(-23)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 5115?\nAnswer: -5110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -147*z + 124*z + 0 - 29 as j*z + o and give o.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (151 - 4 - -11) + 5 - -2. Calculate the greatest common divisor of x and 4785.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 - (4 + 66 + -107).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -120 - 75 - 98 + 196 + 5*w. Calculate q(21).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 6 = 4*y, -y + 15 = -4*y - 5*b. Suppose -12 = -2*t - 4*h - y*h, -4*h + 16 = 3*t. Let n = 1 - t. Sort 5, n, 3 in ascending order.\nAnswer: n, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80645 and 11811?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 191 - 83. Suppose 0 = -6*h + 5*h + 42. Suppose h*m = 40*m + 24. Calculate the highest common divisor of m and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 9*q - 20 = 0. Let c(f) = -2*f - 1. Let u(i) be the second derivative of -i**3\/3 + 64*i. Determine q*u(a) + 5*c(a).\nAnswer: -2*a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.2 in 4637, 2, 5, 0.01, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 8*t**2 + 4*t - 2. Let p be u(3). Let i = -25 + p. What are the prime factors of i?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x + 3. Let z be d(11). Solve 0 = -h + 3*l + z, -3*h - l + 6 = 2*l for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 5*t**2 - 6*t + 3. Let g be h(-6). Suppose -6 = -g*w, 2*w - 3*w + 7 = 5*p. What is the closest to p in -0.1, -1\/7, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4002 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 1.73. Let q = 4.73 - g. What is the second smallest value in q, 2\/35, -2?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 113, -0.2, 2\/53.\nAnswer: -0.2, 2\/53, 1, 3, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 157 or 1\/18?\nAnswer: 157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 55675075*x**2 + x. Let j be f(-1). Let c = j + -31075074. Suppose -3*l = -0*l - c. Round l to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 971794009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/18 and 75\/38?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151354234?\nAnswer: 2, 59, 113, 11351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6440004, -6440005, -6440006, -6440007, -6440008, -6440009?\n\"Answer: -k - 6440003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12081 + 59861. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8794145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 104*k - 307. Let n be q(-107). Let i = -46 + 76. Suppose w = 5*t - 15, 5*t - 6*w + 2*w = i. Solve 6 = 4*j - t*z, 3*z - n = -j + z for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 81, 100, 139, 210, 325, 496, 735?\n\"Answer: 2*p**3 - 2*p**2 + 11*p + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2608 is divided by 90?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 608, 620, 646, 692, 764, 868, 1010, 1196?\nAnswer: 1432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -5*g**3 - 17*g**2 + 24*g - 3. Let l(s) = 3*s**3 + 11*s**2 - 16*s + 3. What is 8*l(m) + 5*o(m)?\nAnswer: -m**3 + 3*m**2 - 8*m + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (84\/3)\/(4\/10). Calculate the greatest common divisor of 14 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -310, -1067, -2322, -4069, -6302?\nAnswer: -9015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 w, and 1 g when four letters picked without replacement from gwgonnnwn?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 14 + 10 = 0. Let j = -2 - -5. Let u be -2*((-18)\/j)\/3. Solve f - 5 = 0, s - 1 = 5*z + u*f for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48258?\nAnswer: 2, 3, 7, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26653594125 + m**2 + 26653594125.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 c when three letters picked without replacement from {u: 2, c: 2, y: 9, k: 1}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1270 or -1285?\nAnswer: -1270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14888 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: What is 3 (base 15) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -11, 1.6, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 11*n - 42. Let z = -7 - -12. Solve 2*h + 8 = 6*h - x, 3*h - n = z*x for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1340.7 + 1341. Which is the biggest value? (a) 6 (b) m (c) -2 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -595, -2385, -5369, -9547, -14919, -21485?\nAnswer: -29245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 73*b**2 - 177*b - 2033. Calculate m(-75).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 176\/6649, -3\/10, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/2 + (4 - 5\/5). Let t(v) = 28*v + 31. What are the prime factors of t(l)?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8044 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 140595 to the nearest 1000.\nAnswer: 141000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 2*i**2 + 6*i - 1. What is h(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 37, 46, 55?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 812 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bl when two letters picked without replacement from lzblzfe?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/(-10) + 653\/(-30) and 698296\/432042 + (-9)\/87.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -530259 at most as big as -530259?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(2)*1)**2*-4 + 4.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/((-10)\/(-15)*-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 - 20. Suppose 51*k - 54*k + w = 0. Solve o = -k*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-46)\/(-12))\/((-1)\/(-2)). Let d = 262.98 - -5.82. Let m = d + -269. Is v < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2.499296ms?\nAnswer: 0.002499296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 307597 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -249 - -264. Solve 10*v = 13*v + p for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5 + 8 = 0. Which is greater: u or -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -91188, -364848, -820978, -1459578?\n\"Answer: -91235*i**2 + 45*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 243756780 and 97502712.\nAnswer: 487513560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -14) + -1016 + 864?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1\/l)**(1\/2)\/(l**(2\/3)\/l)**(-27))\/((l**1)**(-45))**15 assuming l is positive.\nAnswer: l**666","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.88524 rounded to 2 dps?\nAnswer: 1.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = d - 7*d. Let l(t) = -t**3 + 4*t**2 - 2*t - 1. Let f be l(d). Suppose 2*h + 5*r - 19 = 0, -h + f*r = 2*h + 3. Solve -h*x + 6 - 4 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04603 rounded to three dps?\nAnswer: -0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -3*y. Suppose -5*x - 30 = -5*m, y = 5*x + 17 + 3. Solve 2*s = -0*s + m for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 4:46 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43336 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 2:07 PM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 8) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2006 - 1529. Calculate the greatest common factor of f and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 190888 = 190876?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 567452?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 317 (base 10) to base 2\nAnswer: 100111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from qqipqqqqqpqqdiqqqpdq.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b. Let u(g) = -8*g + 32. Let i(m) = -2*c(m) - 2*u(m). Is i(17) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -32567853 and 77067.\nAnswer: -32490786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 54*k**2 + 2*k + 267. Let m be h(-54). Which is the closest to 0.1? (a) m (b) -6 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -205\/18 + 41\/9. Find the common denominator of z and -41\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 42 + -50 + 1*269. What is the highest common factor of d and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 727\nAnswer: -7\/727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000131382 rounded to 5 decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 558 is divided by 81.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-603)\/198 - -3)?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7969 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/64 of a kilometer?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-8)\/x**(-13))**(-3\/4))**(1\/3) assuming x is positive.\nAnswer: x**(-5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 74609316 a multiple of 1332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13250 = -362*m - 2678 for m.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.28 - 8.6. Let t = h + 1.2954. What is t rounded to three decimal places?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -52. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, c: 2, i: 4, s: 2, j: 4}. What is prob of sequence ris?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 s, and 1 h when three letters picked without replacement from {h: 1, f: 4, v: 1, j: 2, s: 8}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.07438 and 0.2.\nAnswer: 0.014876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3100 + 17077 - 4265 - 3631 - 4153)*(4*b - 2*b - 4*b).\nAnswer: -3856*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 6*x**2 + x. Let y be h(-1). Suppose 2*v = -5*w - 3*v + 15, -w - y*v + 7 = 0. Suppose -3*r + 25 = w*r. Sort -0.1, r, -0.3 in ascending order.\nAnswer: -0.3, -0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of 2\/3*q**3 + 0 - 46*q**2 - 53\/24*q**4 + 0*q. Find the first derivative of h(y) wrt y.\nAnswer: -53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53949023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 323*-109\nAnswer: -35207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 - -28. What is the nearest to 0.1 in 4, f, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12144)\/460*8305\/(-1812).\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**2 + y + 2007. Let q(k) = 3*k**2. Calculate w(q(i)).\nAnswer: 18*i**4 + 3*i**2 + 2007","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 2)*(0*g**3 + g**3 - 2*g**3) - 6*g**3 + 2*g**3 + g**3 - 5*g + 5*g - 2*g**3.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 3*s + 32 = -2*s, -36 = -3*m + 5*s. Suppose 2*g + m = 1. Is (69\/(-9))\/(g\/9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*f - 20*f = -12 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-4 + (sqrt(475)*4 + sqrt(475) + 3 - sqrt(475)))*-5 + -4)**2*-5*-2.\nAnswer: -210000*sqrt(19) + 47504410","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54830160 divided by -176.\nAnswer: 311535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1468 + 7.6972. Is c greater than 3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(1\/(-1017)*-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -m**5\/60 - 2*m**4\/3 + 10*m**3\/3 - 14*m**2. Let y be u(-17). Is -4 - (-933)\/y*1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 8*a**2 - 4*a. Let h(o) = -8*o**2 + 5*o. What is -4*h(j) - 5*s(j)?\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 7:52 AM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(700\/32)*37457\/21404?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -11101001000110011110111?\nAnswer: -11101001000110011111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1650*w**6 + 481*w**2 wrt w?\nAnswer: 198000*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*l - 121*l + 4 = 3*c, 2*c + 2 = 5*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-2)*-4 + 1. Suppose z + 3 - 10 = 0. Suppose 4*d = c*d + z. Which is greater: 6 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 - 1)*(18 + 2). Let t be (f\/28)\/(6\/21). Solve -4 + t = -o + 5*i, 4*o - 20 = -2*i for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6384)\/(-1216))\/((-5)\/(-20))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238 = 12*j - 50. Calculate the highest common divisor of 72 and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 740 + 1144 = 0. Let p(a) = a**3 - 11*a**2 - 11*a - 3. Let b be p(6). Let m = v + b. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106576759.\nAnswer: 6163, 17293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3*i + 6. Suppose 5 = 2*m - 9. Suppose 8*l - m*l = -4. Calculate f(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 13*u**3 + 2*u - 5. Let p(c) = -52*c**3 - 8*c + 23. Let b(s) = 2*p(s) + 9*w(s). Determine b(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p. Let r(t) be the second derivative of -t**3\/6 + 3*t. Let q(v) = 3*v. Let b(o) = 2*q(o) + 2*r(o). Determine u(b(f)).\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-200)\/75*(-2)\/(1*4\/3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dn when two letters picked without replacement from {d: 1, b: 1, k: 3, e: 2, n: 5}?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -83 + 158. Suppose -4*r - r + m = 0. Calculate the remainder when (70\/(-14))\/((-2)\/10) is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 5*d**2 - 5*d + 3. Let r(w) = w**3 - 6*w**2 - 6*w + 4. Calculate -5*r(z) + 6*v(z).\nAnswer: z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vjjj when four letters picked without replacement from {j: 4, o: 6, v: 3}?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.25 + 13.25. Let u = 12 - m. What is the biggest value in u, 2, 2\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 512\/168)*(90 - 75)\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1106236331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -k**3 + 156*k - 151 wrt k?\nAnswer: -3*k**2 + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -4 + 6 + -6 + 1 + 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*q + 5*c - 4, -3*c + 15 = 5*q. Suppose 28 = x + q*x. Suppose -b = -x - 11. Is 10 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55990389 and 8472?\nAnswer: 1059","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2.4*-0.11522\nAnswer: -0.276528","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -6*r - 13. Let z = r - 7. What is the least common multiple of z and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -4*h + 3*t + 3, 3*h + 3*t + 3 = 0. Let x = -45 - -47. Suppose -w = 4*w + 2*c - 30, -6 = w - x*c. Solve -w*g = -h*g + 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8607 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1376532 to the power of 1\/2, to the nearest integer?\nAnswer: 1173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -2\/2415812469?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 10*d**2 - 17*d + 11. Let t be q(-8). Let x(m) = m**2 - 19*m - 9. Let f be x(t). Does 26 divide (312\/f)\/((-1)\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 311894595*l**2*p - 166679956*l**2 with respect to p.\nAnswer: 311894595*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 13592178.\nAnswer: 67960890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -318*t + 269. Give y(0).\nAnswer: 269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 68*z**3 - 25*z**2 + 16*z + 6. Let q be m(-13). Let d = 23823 + q. What is d rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by -760111.\nAnswer: -16\/760111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 6*d - 502. Let m be k(-26). Let c(z) be the second derivative of 3*z**3 + 19\/2*z**2 + 0 - m*z. Find the first derivative of c(h) wrt h.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 2:36 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5094 + 4991.11. What is a rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) -1\/22 (c) -2\/9 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 115171508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.15 * -6.792551\nAnswer: -1.01888265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15347 + 15347. Let o = -10.6 - -18. Which is bigger: o or n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2243*l + 65479. Determine w(-29).\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -248*l + 3127. Give d(15).\nAnswer: -593","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w = -11*w + f, -18*w - 4*f - 12 = -24*w + 8*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or 2872271?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 22*b**3 - 13*b**2 + 8*b + 3. Let k be p(2). Solve -134*w + k*w + 81 = 0 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 5*r = -3753, 34*b - 36*b = -3*r - 2521. Is b a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/4, 1.6, -1031, 14, -125?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - q - 3857 = 0, -19240 = -5*o - 2*q - 2*q. Suppose 5*d + p + p - o = 0, 2*d = 5*p + 1535. What is d rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y + 1 - 4601*y**2 + y**3 + 2*y + 4458*y**2 as f*y**2 + i + k*y**3 + g*y and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzoo when four letters picked without replacement from {z: 2, o: 5, a: 6}?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-60821)\/(-3438) - (-18)\/(-81). Let p = r - -6\/191. What is the common denominator of p and -101\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirteen quarters of a meter?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*s*u**3 + 4*s*u**2*v + 34*s*u**2 - u**3*v wrt u.\nAnswer: 156*s - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2665*m = 2776*m - 555 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -493\/330 + 18\/55. Find the common denominator of 68\/21 and x.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, d: 3, q: 4, x: 4, y: 2}. Give prob of picking 1 x and 2 q.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*p**3*v**2 - 31*p**3*v - 9967*p**3 + 3956*p*v**2 + p - 15*v wrt p.\nAnswer: -12*p*v**2 - 186*p*v - 59802*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 185157569?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrnxllvvrrrr. What is prob of sequence rvnr?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -1279*p + 44788. Give u(35).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 279048822 a multiple of 249?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51280257 is divided by 10256050?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 11, i: 4, y: 1, r: 1, s: 2}. What is prob of sequence siyr?\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -11723, -8808, -5893, -2978, -63?\n\"Answer: 2915*y - 14638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16607655*g**4 + 24988939*g?\nAnswer: 199291860*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222223 (base 5) to base 14.\nAnswer: 2bc1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1114 + -1107. What is the greatest common factor of h and 1687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 30 = -2*x - 26, -2*y + 4*x = -34. Let d = y - 1. What is the highest common factor of d and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jvxip. Give prob of sequence vx.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -1\/3 (c) 1\/2 (d) 2 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/14? (a) -0.01171 (b) -2 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 89902 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**2 + 45*g + 48 = 0. What is g?\nAnswer: -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.035483 rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -4*s + s**3 - 1 + 2*s**2 + 0*s + 0. Give o(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*u = -98*u - 232. Suppose -81 = -2*g - g + a, 4*g - 4*a - u = 0. Calculate the greatest common factor of g and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1516144 + 3?\nAnswer: -1516141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103 = 16*d - 9 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12012 (base 3) in base 16?\nAnswer: -8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/176982 and 49\/27228.\nAnswer: 353964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0*z - 5*d - 302 = 0, 722 = 5*z + 4*d. What is the units digit of z\/8 - 9\/(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -787*p**3 + 2308*p**3 - 788*p**3 - p**2 - 731*p**3.\nAnswer: 2*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1388 by 694.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 5*s + 34. Give c(7).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 843 = 6*c. Suppose -v + 2*v - 379 = -3*g, 5*v + c = 2*g. Is g a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 8:12 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1523*b*i**5 + b*i**3 + 46*b*i - 2*i**4 + 407*i wrt i?\nAnswer: 30460*b*i**3 + 6*b*i - 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 0.14, -33, 176, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*a + 5. Suppose -r - 20 = -a*r. Let m = -67 + 73. What is the least common multiple of m and r?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 4*x = -2*l - 15024, 4*l = 2*x - 10024. Suppose 12*v + 6258 = 17*v + 3*q, 2*q - x = -4*v. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**2. Let y(n) = -6*n**2 - 11*n - 1. Let t(k) = -6*k**2 + 6*k + 0*k**2 + 9*k**2 + 1. Let z(r) = -11*t(r) - 6*y(r). Calculate z(u(c)).\nAnswer: 12*c**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 11:45 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 6 = 9*w. Let c(d) = -3*d + 4. Let u be c(-7). What is the tens digit of -3 + u + 1\/w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 447*b + 118*b - 4 - 565*b + 12751*b**3 + 4 + (2*b + 0*b - b)*(5*b**2 - 3*b**2 + 0*b**2).\nAnswer: 12753*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 1 - -1 - 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28924 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -12154, -12185, -12218, -12253, -12290, -12329?\n\"Answer: -z**2 - 28*z - 12125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 283304 and 56.\nAnswer: 283304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 17 - 26. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62010 (base 7) in base 14?\nAnswer: 5707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-182)\/42)\/((-2)\/(-60)). Let b = x + 377. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 227756?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4112\/14 + (36\/(-42))\/(-3). Suppose 42 = 44*f - 43*f. Calculate the highest common factor of f and c.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6138537, 12277075, 18415613?\nAnswer: 24554151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*g + 5*s, s + 2 = -5*g + 21. Suppose -3*j - 4 + 6 = -2*d, -g*j + 4 = -4*d. Solve -2*h - 2*c + 2 = j, 5*h - 12 = 3*h + 3*c for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/3, 28449, -0.4, 4\/5, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, x: 5}. Give prob of picking 3 w.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -150*l*q**2 - 35*l*q wrt q.\nAnswer: -300*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 7:54 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 18284 = -h, 2*h + 5*k - 18076 = 18417. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 162 = -5*k. Suppose z = 7*z - k. List the prime factors of (z - 2) + (-4 - -1) + 100.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -4 + 8 - 6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1009823?\nAnswer: 929, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -15226 (base 11) to base 7\nAnswer: -116606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of w**7\/105 - 7*w**5\/60 + 5*w**2. Find the third derivative of x(m) wrt m.\nAnswer: 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2924)\/(-340))\/((-47)\/470)\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -447092, -447531, -447970, -448409?\n\"Answer: -439*f - 446653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -140 + 147. Let d(t) = -t + 2. Let a(x) = -2*x + 3. Let c(z) = -4*a(z) + 5*d(z). What is the units digit of c(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s + 25, 0 = -5*p - s + 6*s + 10 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**4 + 46804*a**3 - 562032*a**2 + 2248640*a - 2998528.\nAnswer: 4*(a - 4)**3*(a + 11713)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 18695370 + 0.674?\nAnswer: 18695370.674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 26*i - 15. Suppose -2*o + 5*x = -3*o + 10, -5*x = 4*o - 25. Let y be b(o). Calculate the highest common divisor of 69 and y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 156 divide 3673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssg when three letters picked without replacement from gggghhhhashsghi.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o**3 + 9*o**2 - 9*o. Let u = 12012 - 12008. Let c(f) = 2*f**3 + 4*f**2 - 4*f. What is u*p(a) - 9*c(a)?\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 72*j**2 + 13*j**2 + 40*j**2 - 34 + 0*j**2 with respect to j.\nAnswer: 250*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -53 + 1122701?\nAnswer: 1122626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 14\/13 (b) 0 (c) 12 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -86*k**2. Let h(r) be the second derivative of -r**4\/6 - 10*r. What is t(h(w))?\nAnswer: -344*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 383026 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -151 + 177. Let r = z + -27. Which is the nearest to -1\/3? (a) r (b) -2\/13 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 411 - 401. Let y(o) be the second derivative of 0 - p*o - 2*o**3 + 0*o**2 + 13\/12*o**4. Find the second derivative of y(a) wrt a.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13059, -3, -5.\nAnswer: -13059, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*d + 168 = 0. Let i = d + -134. Let v = 167 + i. What are the prime factors of v?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of -2\/27*h**4 + 0 - 1\/270*h**5 - 16\/27*h**3 + 25*h**2 + 0*h. Let g(b) = 0. Calculate b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/(-15) - (-1244)\/(-3). Let t = b + 725. Suppose -4*j = -t - 73. Calculate the greatest common divisor of 12 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -6. Suppose -5*u + 5 = 0, s = -4*o - 3*u - 4 + 83. What are the prime factors of o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43874888 is divided by 2785?\nAnswer: 2783","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41 - 34. Solve -j*s = -2*s + 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3862 and -6.\nAnswer: 3856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -298489 + 298489 + 29*s.\nAnswer: 29*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -220480 divided by 44096?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 10:12 AM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 14730 in ascending order.\nAnswer: 1, 2, 14730","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -6*t - 3. Let h(m) = 6*m - 50. Let j be h(9). Let p(w) = 17*w + 10. Let a(o) = j*p(o) + 11*i(o). What is a(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 688 and 860?\nAnswer: 3440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19278 and 126.\nAnswer: 19278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 12 = -5*b, -29*b + 24*b = 5*z - 10 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24560918, 49121830, 73682740, 98243648?\nAnswer: 122804554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 8:17 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**2 - 2*v - 3. What is i(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 45 = 5*t, -14 = -5*t - 5 - 44 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, 17, 59, 111?\nAnswer: 173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 43*h**2 - 196*h + 301. Give q(-38).\nAnswer: 529","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -97 - ((3 - 3) + -3 - (-72 + 64 + 3))?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z + 34 + 19*z - 34 to the form y*z + i and give y.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -l**9\/84 + 7*l**5\/60 + l**2. Find the third derivative of o(z) wrt z.\nAnswer: -720*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of 2*n**5 + n**4\/24 + n**3\/6 - 5*n**2. Let s = -572 + 571. Is f(s) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -50055517, -100111034, -150166551?\n\"Answer: -50055517*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 12719, 50864, 114437, 203438, 317867?\n\"Answer: 12714*x**2 + 3*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.819 - 0.269. Let c = d + 1.567. Round c to 2 decimal places.\nAnswer: 0.48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 173, -12\/7 in decreasing order.\nAnswer: 173, 0, -12\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33229 + -20996. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54934 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 + 21. Suppose 0 = -a*l - 4*l + 96. Solve 3*v + l = -0*m + 2*m, 2*m = 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (21\/(-27))\/((-4)\/6). Which is smaller: q or 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -623.81 + 382.6. Let v = 3.21 + h. Let u = v + 237.999813. Round u to five dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**1)**(-23)*v**(-5)\/(v*(v\/v**0)\/v*v))\/(v\/v**(1\/10)*v*v**8*v)**(3\/8) assuming v is positive.\nAnswer: v**(-2727\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -80 + 96 + (-48 - -7) + 8.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4800 + -43144\/9. Calculate the common denominator of (76\/(-20))\/(4\/(-25)) and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -735 (base 8) to base 11\nAnswer: -3a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 + 1)*(3*q**2 - q**2 + 0*q**2)*(10*q - 8*q - 4*q) as h*q**2 + n*q + a + m*q**3 and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -l - 0*l - 812, -4*k + 5*l = -812. Does 24 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 1. Calculate the remainder when 2\/(2 + 0 - 0) is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25911364472 plus -0.4?\nAnswer: 25911364471.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -423997*g. Let a(x) = 2*x. What is a(r(f))?\nAnswer: -847994*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28012 is divided by 322?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 44*p**2 + 92*p + 17. What are the prime factors of b(-8)?\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j - 2*j**3 - 3*j + (9 + 8*j**2 - 9 + (-1 - 3 + 3)*(j**2 + 0*j + 0*j))*(-1 + 1 - 1)*(2 - 2 - j) to p*j**2 + d*j**3 + h + o*j and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.828 + -0.172. Let v = 0.518 + 3.592. Let f = -0.11 + v. Put -1\/8, f, z in increasing order.\nAnswer: z, -1\/8, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 5*g**2 + 3*g + 5. What are the prime factors of q(-6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 55\/4*49\/(-98)?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.052? (a) 1 (b) 0 (c) 5 (d) -185\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69880137?\nAnswer: 3, 23293379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 727674 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -61*s**2*z**3 + 259*s**2 + 78*s*z + 69*z**4 wrt z.\nAnswer: -366*s**2*z + 828*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 g when four letters picked without replacement from {n: 6, c: 4, g: 10}.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(-1))\/(3 + -2). Suppose -a + 1 = -1. What is the second derivative of -a*p - u*p**2 - p + 4*p wrt p?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7359 - 507769\/69. What is the closest to -11 in o, 4\/7, -1\/4, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**3 - 4*z**2 - 4*z. Let c(u) = 0*u**2 - u**3 + 10*u - u**2 + 6*u - 17*u. Determine 4*c(v) - r(v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 3*z + 12. Solve 0 = -g + z*g - 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23266810 times 3?\nAnswer: -69800430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = 3*a - 29, 0 = -3*n - 79*a + 84*a - 71 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4696492 and -2?\nAnswer: 4696494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*g = -10*g + 50721. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -6*b - 222. Let r be q(-39). Let v be 12 + 2*(-2)\/4. Differentiate r - v*z**3 - z**3 + 24*z**3 - 4*z**3 with respect to z.\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 8255*z**2 + 12*z - 13. Is g(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 5*p + 40. What is c(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 470\/4*5388\/(-6735)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - 12*m - 8. Let o be g(-11). Suppose -361 = 5*v - 3*k, o*k = 2*v - 53 + 201. What is the tens digit of v\/(-5) - 2\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1110011 - 0?\nAnswer: -1110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + (33 + -3 - 3). Suppose -3*t + 5*t = k. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - n)*(3 - 3 + 1 + (4 + 0 - 3)*(1 + 2 - 2)).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -16*a - 108. Let o be j(-11). Are o and 68 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -3*r + 27 + 43, -3*r = -3*v - 30. Suppose 0 = 3*q + t - 29, -3*q = -5*t - 27 - 8. Calculate the lowest common multiple of r and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 7*s**2 - 3*s + 7. Let y be v(5). Suppose 2*k = 7*k - 10. Suppose -k*x = -2*n + n - 39, -2*x - 2*n + y = 0. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(3\/10)*v**(-2))\/(v**(2\/5)*v**(-4\/5)))\/((v**(1\/3)*v)**(-1\/5))**10 assuming v is positive.\nAnswer: v**(41\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from yeyynyyyye?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -1a?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 9*f**2 - 10*f + 12. Let c be 7 + 2 - (1 - 0). Let u be l(c). Let w = u + 10. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 19027086 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 0, 133, 3739.\nAnswer: -3, 0, 2, 133, 3739","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 4*t - 44, -t - 18 = 38*q + 595 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 31 = 2*j, 4*d - 2922 = -4*j - 2994 for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/521 and 14\/339?\nAnswer: 176619","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/12*6)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/4, 5, 0.6, -2\/27, 0.003?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 117*d - 209*d - 10*d**4 + 107*d + 10*d**2 - 20*d**3 + 5*d**5.\nAnswer: 5*d*(d - 3)*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3551, -6889, -9817, -12131, -13627, -14101?\nAnswer: -13349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i - 11*i + 1074 = 0. Let a = i + 367. Solve -3*c = -a*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7730595473 + -1113215568589\/144. Let r = h + 68197. Calculate the common denominator of r and -13\/14.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -77, -329, -751, -1343, -2105, -3037?\n\"Answer: -85*z**2 + 3*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**2 - 10*d + 10. Let o(v) = -v + 1. Let p(n) = 60*o(n) - 6*t(n). Let l(s) = -91267*s + 91267*s + 3*s**2. Determine l(p(q)).\nAnswer: 432*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, i: 1, s: 1, x: 1, r: 1}. What is prob of picking 1 s and 1 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 79*w**2 + w. Let l be c(-2). Suppose -4*p + l = -0*a - 2*a, 5*p = 5*a + 405. Calculate the remainder when p is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 15*d - 13*d - 4.\nAnswer: -28*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 5*p = 5850, 5*h - 3*p + 1114 - 6960 = 0. What are the prime factors of h?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/7)\/(6984\/24444)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**2 - 2 + 2 + 5*s**2 + 0*s + 0*s + (0 + 1 + 0)*(-s**2 + s - s) - 2 - s**2 + 2.\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/6 + 2\/4. Let x(s) = 112*s - 5586. Let j be x(50). Which is the nearest to 2\/5? (a) u (b) j (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-70)\/175)\/((-16)\/30)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 6 = -0*c. Suppose 2*v = 3*r - 5, -5*r - 4*v = -1 - 0. Differentiate -r - f + 3*f + 3*f**4 - c*f wrt f.\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 7 - 5 - (0 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99, -18, -225, -522?\nAnswer: -909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28300 is divided by 318.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 553*l + 3*l**2 + 575*l - 1128*l + 5. Give a(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 2*m + 10 + 10, 4*f - 77 = 5*m. Solve l - 11 = -2*n, -2*l = 4*n - n - f for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(242))**2 - sqrt(242))*-6 + 4 + -2 + -3.\nAnswer: -1459 + 198*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -595, -1184, -1763, -2326, -2867, -3380?\nAnswer: -3859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 6*w**2 + 22*w - 12. Does 12 divide m(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 5705*n + 2796189. Determine j(-454).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1001, -3152, -6737, -11756, -18209, -26096, -35417?\n\"Answer: -717*g**2 - 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -565003, -564989, -564975, -564961, -564947, -564933?\nAnswer: -564919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 116\/20 + 2\/10. Let g = 22 + x. Suppose 0 = j + 2 - 0, 3*q - g = 2*j. Which is smaller: q or 10?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -760, -745, -692, -583, -400, -125?\n\"Answer: 3*t**3 + t**2 - 9*t - 755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 16*l + 9. Give v(17).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -19. Suppose -4*v - z + 2 = 0. Round v to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4 + -0.302. Let o = p + 2.902. Which is the nearest to 0? (a) o (b) -0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 14. Let u be ((-40)\/(-16))\/(k\/(-2)). Let z = 36 - u. Is 15 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 4*m - 56 - 92, -5*f = m - 43. Suppose -9*p + 43 = -m. Let x(q) = -70371*q**2 + 5*q + 6. Let u be x(p). What is u rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 144715, 144700, 144685?\n\"Answer: -15*d + 144730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29849 plus -2.6411?\nAnswer: 29846.3589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**7\/70 - i**6\/4 + 2*i**5\/5 + 5*i**4\/4 - 9*i**3\/2 + 78*i**2. Factor b(z).\nAnswer: 3*(z - 9)*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1000 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/84 and 85\/54?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2855736998 and 109?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 122, -4, 23, 1, 3 in descending order.\nAnswer: 122, 23, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 25038, 50081, 75112, 100131, 125138?\n\"Answer: -6*r**2 + 25061*r - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -4*o + 2*h, -7 = o - 2*h - 37. Let g be 4 + (-12)\/(-5 + 2). Calculate the greatest common divisor of g and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2409 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/(-56) - (-7 - -10 - 2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 11 = -k. Let z be (-306)\/k - 16\/(-40). Let g = z + -19. Calculate the least common multiple of 16 and g.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of k**3\/6 - 3*k**2 + 3*k. Let j be l(8). Suppose -2*s = 2*s - 4*h - 28, 7 = 2*s + 5*h. Solve -s*v = -j*v - 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**3 + 3*x**2 - 3*x**2 + (-2 + 2 - 9*x)*(-19*x**2 - 17*x**2 + 55*x**2).\nAnswer: -169*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/101700 and 23\/650.\nAnswer: 1322100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 2*o + 3. Let g be c(-5). Let t be 3 + 534\/42 - 2\/(-7). Let h = g - t. Solve 1 = -h*r + z, 8 = -2*r - 3*z + 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/(-15)*2*(-10)\/(-4). Suppose 3*n - 16 = 4*d, b*d + 18 = 4*n + 6. Solve -3*j + 18 - 9 = n for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 6*a + 142. Suppose -y + 4*k - 8 = 0, 4*y - y = k - 24. What are the prime factors of p(y)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/2)\/(k**(1\/5)\/k))**(-10) assuming k is positive.\nAnswer: k**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -965*y - 6 - 116*y + 252*y.\nAnswer: -829*y - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 608?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + a - 1. Let x(s) = -434 - s + 1322 - 441 - 443. Give 4*o(p) + x(p).\nAnswer: -4*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6206887 divided by 28.\nAnswer: 6206887\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 113373814?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*t + 8009 - 8061. Let i = 7 - 5. Let q = 7 - i. Put t, q, 0 in increasing order.\nAnswer: 0, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7786.\nAnswer: 2, 17, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -36185286.73 rounded to the nearest 1000000?\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2598447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -20 - -18 - 174\/(-2).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 6*l**2 + 9*l - 9. Let j be o(7). Suppose -j*v + 36 = 11. Suppose v*h - 68 - 92 = 0. Calculate the remainder when 93 is divided by h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2*l + 2022 = 3*s, 679 = l + 2*s. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -210*l - 52. Let f(z) = -44*z. What is f(g(n))?\nAnswer: 9240*n + 2288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 - 50 = -9*v + 11 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289021 is divided by 53?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 571 + 3169 = 169*a + a for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -38. Let v = 151\/14 - 443\/56. Calculate the common denominator of (6\/g)\/(36\/(-1430)) and v.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 585.9754mm?\nAnswer: 0.0005859754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1682 - 8349\/5. Which is the fourth smallest value? (a) -1\/7 (b) 3\/2 (c) 0.5 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 9:07 AM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-6)\/75)\/(2166\/730 + -3) and -39\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/5? (a) 1\/3 (b) 0 (c) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 7:36 PM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12503 + -6?\nAnswer: 12486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -192 times 1?\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/45, -0.5, 4, 1, -5, 95 in decreasing order.\nAnswer: 95, 4, 1, -4\/45, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 16841*z - 70*z**2 - 16841*z to the form b*z**2 + n + o*z and give b.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2. Let r(c) = c + 58. What is r(j(x))?\nAnswer: x**2 + 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -443, -867, -1291, -1715?\n\"Answer: -424*h - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 159*o**4\/4 + o**3\/6 - 13*o**2\/2 + 7. Let a(w) be the second derivative of z(w). Is a(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 7 = -0*h + 5*l, 0 = 5*h + 3*l - 19. Suppose h*t + 2*t = 80. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -4*q - 6. Let d = -22 + 24. Let n = d - q. Solve n*w + 7 = 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 398 and 400 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 5 = 0, -241*g - 5*j = -240*g - 28 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.6 - -4. Let h(s) = -s - 3. Suppose 3*q = -5*f - 27, -f + 2*f + 5*q + 23 = 0. Let o be h(f). Put t, o, 5 in ascending order.\nAnswer: o, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - ((-8 - 77) + (2 - 3)) - (99 + -94).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + -3 - 2 - 176\/(-110). Which is the third biggest value? (a) -0.0186 (b) y (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 198.19 - 198.29. Let q = -16 + 7. Let d be (-3)\/q + (-1)\/2. Which is smaller: d or w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2052280014 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b + 13 - 1. Suppose 0 = b*w + 1 - 5. What is the third derivative of -7*r**w - 65*r - 17*r**3 + 65*r wrt r?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2760\/32)\/15)\/((-443)\/1772)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a second in milliseconds?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -5*y**3 - 15*y**2 + 50*y + 120 = 0.\nAnswer: -4, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 182, 4, -5, 2, 27?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*q - 2*q = -2, 0 = t - 4*q - 22. Let p be (-2)\/t - (-10)\/3. Suppose p*o + 9 = 21. Solve o*z - 5 = -z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d - 1. Let r be j(5). What is the least common multiple of (-12)\/(-16) + 13\/r and (16\/(-10))\/(1\/(-10))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, p: 4, q: 1, m: 2, x: 2, a: 2}. Give prob of sequence pqm.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(2\/(-7 - 61)). Solve 0 = 8*x + 42 - v for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-10))\/(371\/(-530))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 115193261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 3:41 AM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sf when two letters picked without replacement from smsffps.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 266, -5, 4, -6780, -2 in increasing order.\nAnswer: -6780, -5, -2, 3, 4, 266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 27*i**3 + i. Let s be q(1). Let c = 1346 + -1345. Is c\/(-3) + s\/(-12)*-4 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -7*h**4 + 13. Let w(v) = -v**4 + 1. Let i(u) = -5*w(u) + z(u). What is the derivative of i(t) wrt t?\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of d**8\/20160 + d**5\/12 + d**2. Let l(f) be the third derivative of n(f). Factor l(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1512352206 to the power of 1\/3, to the nearest integer?\nAnswer: 1148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -131 - 104 + 1249*x**2 - 55 - 30 + 322*x - 1251*x**2.\nAnswer: -2*(x - 160)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**2 + 4*g. Let k(w) = -w**2 - 5*w + 3. Let y(m) = -2*m**2 - 5*m + 4. Let x(o) = 4*k(o) - 3*y(o). Determine -3*u(l) - 2*x(l).\nAnswer: 2*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*r = -0*f - 4, 4*r + 27 = -3*f. Let p = 8 + f. What is the second derivative of 2*l**5 + l - p*l + 3*l wrt l?\nAnswer: 40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one tenth of a millisecond?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 4:36 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 30?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 10:57 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 181997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2. Let t(h) = h**3 - 3*h**2 - h - 218. Let x(m) = -3*d(m) - t(m). Let v be x(0). Suppose 50 - v = -4*g. Is 11 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000028 rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 7*s - 12 = -r, -5*s + 8 = 3*r for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) - (-2*sqrt(66)*4 - sqrt(66)))\/(sqrt(54)\/(sqrt(9)*-1)).\nAnswer: -10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a + 8. Suppose z = 3*z - 12. Let j be h(z). Calculate the highest common divisor of 8 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16.06 + 16. Let x = 78 + -79. Is v at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*348736.\nAnswer: -174368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 16) to base 5\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s - 3. Let x be ((-6)\/(-4))\/(7\/14). Let d(g) = -2. What is x*d(u) - 2*n(u)?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3605 (b) -0.7 (c) -9 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbgggbbbbbbebebbbbb. Give prob of picking 4 b.\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 8*v**2 - v + 1. Let f be t(-3). Suppose 2*n + f = 4*c, n - 36 = -2*c + 3*n. Suppose 12 - c = -4*w. Solve -w*m - 2*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*j - 14, 2*j + 3*q + 0 + 2 = 0. Suppose -3*r - 557 = -4*s - 0*s, 720 = j*s + r. List the prime factors of s.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l**6 - 7*l**4 - 591686*l**3 - 9267*l**2 + 5224*l wrt l?\nAnswer: -240*l**3 - 168*l - 3550116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5115445 a multiple of 1135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/3 + (-2)\/(-13). Let t = -9 + 5. Let n = t + 0. Sort g, n, 1\/5.\nAnswer: n, g, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(640)*3)\/(sqrt(8) + -3*(sqrt(8) + sqrt(40)\/sqrt(5))).\nAnswer: -12*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3397, -6505, -9613?\nAnswer: -12721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/2)\/((8\/502)\/4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4820895 to the nearest 10000.\nAnswer: -4820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -b**5\/20 + b**4\/2 - b**3\/2 - b**2\/2 - 5*b. Let s be v(5). Suppose 4*q - 2*j = 38, q + 2*j = s + 8. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 11431.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.34 (b) -1\/138 (c) 0.3 (d) 180\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u - 8. Determine a(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d. Let p(r) = r**2 + 11*r + 7. Let v(n) = -6*b(n) - p(n). Determine v(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 923422.5 milliseconds in hours?\nAnswer: 0.25650625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1615 is divided by 326.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43629276 divided by -6.\nAnswer: -7271546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -0*p - 4*p - 16, -3*z = -p - 4. Let w(l) be the second derivative of 0*l**4 + 1\/30*l**5 - 1\/3*l**3 + z - 2\/3*l**2 - 4*l. Solve w(y) = 0 for y.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/843771 or -1?\nAnswer: -1\/843771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 242*d + 4. What is the tens digit of l(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -135*k**2 - 5*k - 4. Let t(w) = -w**2 - 5*w - 2. Determine f(l) - t(l).\nAnswer: -134*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39552?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2 (b) 18 (c) 0.5 (d) -9\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13657260 a multiple of 835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 8:18 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 19, l: 1}. What is prob of sequence iii?\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.4, 0.1, -5809, 1\/5, 2\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 2*t = 112, 0*r + 84 = 3*r + 5*t. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 297350?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.8 and 26.3.\nAnswer: -73.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - i**2 + 0 + i**2 + i**2 + 2*i**2 + (-1 + 1 + 2*i)*(i + 1 - 1).\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1217246, -4868867, -10954860, -19475219, -30429938, -43819011, -59642432, -77900195?\n\"Answer: u**3 - 1217192*u**2 - 52*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 86, 29, -94, -307, -634, -1099?\nAnswer: -1726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and -1.752.\nAnswer: -1.452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*g**4 + 6 + 3\/2*g**2 - 10*g + 3*g**3.\nAnswer: -(g - 6)*(g - 1)**2*(g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/28 - 16\/(-64). Let q = 2 + -2.2. What is the nearest to w in q, 0, -0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 3, 4*n + 4*x - 3 + 7 = 0. Let d be ((-4)\/7)\/((-14)\/49). Suppose -4*a - 5*t + 19 = -21, a - d*t + 3 = n. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.7499s to nanoseconds.\nAnswer: 29749900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q - q - 4*q + 4*q + 12*q.\nAnswer: 13*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247443585.\nAnswer: 3, 5, 17, 89, 10903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 9 = -2*q, 2*a - 5*q - 125 = 0. Let c = a + -20. Is c a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1585 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2625977534?\nAnswer: 2, 271, 4844977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d + 6. Let c be a(-7). Suppose -4*m = m - c. Factor 3*g**2 - 4*g**m + 5*g**4 - 4*g**2.\nAnswer: g**2*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-154*z - 26*z - 538*z - 370*z)*(0 - 2*z + 0).\nAnswer: 2176*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7865863 and 5154.\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 14 - 2*q - 7)*(-10 + 5 - 3) to s + a*q and give s.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2299?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.196619 - 0.05571. Let l = k + -0.141. What is l rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11247612 - -0.0418.\nAnswer: -11247611.9582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 25*g - 41. Let d be m(23). Let c(y) = -y**2 + 8*y - 1. Determine c(d).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -776569, -776548, -776527?\n\"Answer: 21*y - 776590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 5:20 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 727039708456.\nAnswer: -727039708457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 p when three letters picked without replacement from {h: 3, p: 5, x: 1}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22439 * -1.07.\nAnswer: 24009.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 30 and 0.04771164.\nAnswer: 30.04771164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - x + 6*x = 52, 3*x - 33 = -2*m. Is m a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184150 is divided by 92047.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 2 + 3. Let b = -847\/13 - -65. Is b at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153188049479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1908 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2175 + 1363. Round h to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 864 and 1152.\nAnswer: 3456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2746 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 90 - 40. Let f = -23 + t. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -3. Let x(n) be the second derivative of -n**5\/20 + 7*n**4\/12 + 11*n**3\/6 - 11*n**2\/2 + 2*n - 39. What is the tens digit of x(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 6. Suppose 4 = 4*h - q*h. Let g be (-8 + 8)\/(-2 + 3). Solve 2*m = 5*m - 2*o - 6, g = h*o for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*i - 42*i + 2*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2*n + 2 - n**2)*(-3*n**2 + 7*n**2 + 5*n**2) as m*n**2 + h + r*n**4 + b*n + c*n**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, a: 3, c: 3}. What is prob of picking 3 c and 1 a?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27315436 or 81946309\/3?\nAnswer: 27315436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(567) - -1*sqrt(567))*-4 + 3 + 1 + sqrt(567) - (-4*sqrt(567)*-2 - -2*-1*sqrt(567))) + -5 + -5)**2 + 5.\nAnswer: 1404*sqrt(7) + 95864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/15)\/l)\/(l\/(l**(-4)\/l*l*l*l)))**(7\/10) assuming l is positive.\nAnswer: l**(-413\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -46\/281 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/5, 142, -30\/19, 1\/14?\nAnswer: -30\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 232 - 232.4. Let v = -1024\/19 + 54. Which is the closest to 6? (a) -4 (b) v (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30348 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 120 - 47. Let t = -57 + b. Calculate the lowest common multiple of t and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -174 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5817\/277)\/(9\/(-33)).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3412, 0, -3, 12, -337 in descending order.\nAnswer: 12, 0, -3, -337, -3412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/7, 53, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 11:59 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 324059, 324066, 324077, 324092, 324111, 324134, 324161?\nAnswer: 324192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of 11\/39*o**3 - 48*o**2 + 3\/130*o**5 + 0 + 7\/52*o**4 - 1\/780*o**6 + 0*o. Determine w, given that t(w) = 0.\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 + 20. Let d(k) = k**3 - k**2 - k - 89. Let s be d(y). Let g = -31 - s. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 9 = -0*j. Suppose -j*t + 43 = -137. Suppose -1582*w + 11377 = -1215*w. Calculate the remainder when t is divided by w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 77, 147, 217?\nAnswer: 287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 15*i + 76. Calculate j(-7).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 29433.\nAnswer: -2\/9811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-28)\/(-6)*9\/2. Let w be 204\/m + 4\/14. Calculate the highest common divisor of 110 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75372868861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.5 - 1. Let p = -3 - -2.5. Let o = 363\/4 + -91. Which is the closest to o? (a) q (b) p (c) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**18*r)\/(r*r**(-2\/13)*r) assuming r is positive.\nAnswer: r**(-232\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(14*(-2)\/(-14))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -99 + 102. Let l be r*-1 - (-11)\/(44\/(-16)). Let w(m) = m**3 + 6*m**2 - 8*m + 5. What is w(l)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q + 19. What is w(10)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 907052037 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: What are the prime factors of 44670?\nAnswer: 2, 3, 5, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 111480?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 803*w**4 - 6390 - 444*w**4 + 2*w**3 - 345*w**4 - 21*w**2 wrt w?\nAnswer: 56*w**3 + 6*w**2 - 42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -5. Let t = o + -6. Let y = 15.41 - 19.41. What is the closest to t in 3\/7, y, 0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*y - 8296 = -l, 2*y = 4*l + 33164. Let t be l\/7 + (-9)\/21. Let o = t - -3302. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-185)\/333*((-14)\/35 - 43\/5). Let t = -40 - -42. What is the biggest value in -0.12, t, -2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -51, -0.5, 5, -19 in ascending order.\nAnswer: -51, -19, -0.5, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.115 - 1.475. Let n = 1.99 + j. Sort n, 8, -2\/7.\nAnswer: -2\/7, n, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -621 + -206?\nAnswer: -827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 218 + -218.2. Let g = -809 + 788. Does p = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 21a - 1?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -808*r**2 - 2969*r + 13. Give d(-4).\nAnswer: -1039","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 4*r**2 - 5. Let q be d(-4). Let p = 27 - q. Suppose 3*v + 2 - 53 = 0. What is the remainder when p is divided by v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -150686.6 rounded to the nearest ten thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(350) + -2*sqrt(350))*-6)\/(4*sqrt(2)*3 - (sqrt(22)*-5)\/sqrt(11)).\nAnswer: 60*sqrt(7)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11047?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) 2 (b) 3\/5 (c) -0.4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4054 (base 6) in base 15?\nAnswer: 3ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**3\/15 - 104*u**2\/15 + 256*u\/3 - 1536\/5 = 0 for u.\nAnswer: 8, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -8*g**6\/45 - 2*g**5 + 17*g**4\/3 - 53*g**3\/9 + 3*g**2 + 34*g. Solve v(m) = 0.\nAnswer: -9, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -17*k + 4. Let y be (-17 + 18)\/(-1*(k - 1)). Which is the nearest to y? (a) 0.1 (b) -0.5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z + 3*z - 6*z - 6*z.\nAnswer: -11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(13\/5))\/h)\/h**34*(h\/(h\/h**9))**(4\/17) assuming h is positive.\nAnswer: h**(-2489\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 7)*(-3 + 5 - 4)*(0*s + 2*s**2 + 0*s).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 561650\/(-86812) + 16 + -10. Let s = 2\/65109 + f. Let i = -62821\/73860 + 2\/3693. Calculate the common denominator of s and i.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5946888 - -3?\nAnswer: 5946891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in 29, -1, -2, -14, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 8*a**3 - 4*a**2 - a. Let d(v) = -3*v**2 + 11. Let k(b) = b**2 - 4. Let n(s) = -4*d(s) - 11*k(s). Let y(i) = -j(i) - 4*n(i). Calculate y(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -255 in 0.5, -2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -34*g. Let r(n) be the second derivative of -9*n**3 - 1601*n. Calculate a(r(p)).\nAnswer: 1836*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 22*y**2 - 52*y + 91. Let f be u(24). Sort f, 2\/3, -40 in increasing order.\nAnswer: -40, f, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105654, 422616, 950880, 1690446?\nAnswer: 2641314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbbbbvbbbbbbbb. Give prob of picking 1 v and 1 b.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/15194545 and -12\/55.\nAnswer: 167139995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -1, 28, 77, 146?\nAnswer: 235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10155 is divided by 3315?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - t + 18 = 2*x, -5*t = 0. Let n = 11 - x. Calculate the remainder when 5 is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**3 - 5*f**2 - 50*f + 188. Let h be m(4). Solve -110*p = -116*p - h for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*h**5 + 5645509*h**3 - 484519227*h.\nAnswer: 60*h**3 + 33873054*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111000 - 1111111110?\nAnswer: -1100000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*m + 36 = 18*m + 3*h, 2*h - 38 = 3*m. Let t = 0.66 - 0.6. Let d = -0.46 + t. Put m, d, -1 in descending order.\nAnswer: d, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -d - 9*u + 63, 3*d + 4*u - 165 = 0. Calculate the remainder when 94 is divided by d.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25689585 divided by -1712639?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 l when two letters picked without replacement from ovommvlllpvpovmmlop.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of k**6\/120 - k**5\/60 - k**4\/24 - 2*k**3\/3 - 2*k**2 + 2*k. What is the tens digit of y(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(1\/29)*r)**(-5\/2)*r**(-10)\/(r\/(r*r*r**(3\/11))*r) assuming r is positive.\nAnswer: r**(-5523\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 177 + 199*r - 177 in the form h*r + s and give h.\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -1461*m - 1035. Calculate w(0).\nAnswer: -1035","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34864 + 34864 - 1877*t**2 - 1560*t**3 wrt t?\nAnswer: -9360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*n*p**3 + 28*n*p**2 - n*p - 162*n + 2*p**3 + 5*p**2 + 59*p wrt p?\nAnswer: -42*n*p + 56*n + 12*p + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.8 + 0.8. Let m = w - -7.3. Let d = m + -0.30008. What is d rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 n when four letters picked without replacement from unmmumnnunn.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -5840?\nAnswer: 5845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -584 divided by 3?\nAnswer: -584\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(162)*-1)\/sqrt(9))**2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 854 divide 145513060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 108*t - 83*t - 300 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, y: 2, g: 3}. What is prob of sequence yg?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 130842239 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/12*5)\/((-2)\/8). Suppose 0 = -2*s - 3*s. Suppose s = n*t - 10*t - 90. Is 19 > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -180152.92 and 0.02.\nAnswer: -180152.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 8*z**2 + 483*z + 550. What is the remainder when u(-63) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -36717 and -0.4?\nAnswer: 14686.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 6*(3 + (-6*(-1 + sqrt(500)))**2 + 3*((sqrt(500) + (sqrt(500) - (sqrt(500) + sqrt(500)*-2)))*-4)**2) + -5.\nAnswer: -4320*sqrt(5) + 1404230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/(sqrt(27)\/sqrt(48) + sqrt(9)) - ((sqrt(52)*4)\/sqrt(4) + 0).\nAnswer: -16*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of -13*p**4\/24 - 4*p**2. Let r(x) = -7*x. Let g(m) = -6*b(m) + 11*r(m). Let i(u) = 2*u**2 + 2*u - 2*u. What is g(i(l))?\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(-2*w**2 + 2 - 2)*(-5*w - 4*w - 5*w).\nAnswer: -56*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-3))\/(((-20720)\/42)\/(-20)).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 176740\/23209 > 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + b = -33, -2*t + 43*b + 13 = 46*b. Solve -2*d + 2 = 0, 2*j = 4*j + 4*d - t for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4 + (1 + (sqrt(52) - sqrt(208)\/(sqrt(4)*3)))**2).\nAnswer: -1265\/9 - 40*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44195?\nAnswer: 5, 8839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 13\/(-18) + 1\/2. Let h = -0.4 + 0. Let s = h + 0.2. Which is the third biggest value? (a) l (b) -4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2367.16 or -1708?\nAnswer: -1708","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 divided by -11?\nAnswer: 41\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*g - 11*g + 4*g)*(-305*g**3 + 296 - 296) + g**4 - 3*g**3 + 3*g**3 as r*g**2 + k*g**3 + y + h*g + i*g**4 and give i.\nAnswer: 5491","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.14? (a) 2\/7 (b) -7623 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/25572 and 181\/60?\nAnswer: 127860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 230 - 2*n - 691 + 227 + 234.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, h: 2}. Give prob of sequence hhmm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17541?\nAnswer: 3, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1067*l + 36 = 1059*l + 4. Let s be -3*1*(-2)\/3. Is 3 + 122 + s + l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -402*s*x + 241411*s - 2*x - 60398054 wrt s?\nAnswer: -402*x + 241411","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/4140 and -89\/567600?\nAnswer: 39164400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3a - -1?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 2*r**2 + 3*r. Let x be a(-3). Let q = 2 - x. What is the third derivative of 3*o**q + 3*o**4 - 5*o**2 - 2*o**4 wrt o?\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-75)\/(276 - 51)*(0 + -9). What is g in 4\/15*g**z + 2\/5*g**2 - 8\/15 - 8\/15*g - 2\/15*g**4 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 6. Suppose v + 5 = -3*a, -4*v - a + 10 = -4*a. Solve -h*u - v = 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3918864 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: What is 5\/4 of a week in hours?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*l - 7476 + 2699. Let x = -148 + l. Put 4, 5, 3, x in decreasing order.\nAnswer: x, 5, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 618158, 618161, 618166, 618173?\n\"Answer: t**2 + 618157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (8\/(-10))\/((-2)\/40).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 495693774 divided by 1047.\nAnswer: 473442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 14 + 7 + 7*x**2 - 16. Let t(q) = 45*q. Calculate k(t(b)).\nAnswer: 14175*b**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 341947769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1113.776 tonnes to grams.\nAnswer: 1113776000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.1 - 3. Let k(o) = 19*o - 171. Let l be k(9). Which is the nearest to n? (a) l (b) -2\/7 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9*28\/1386*11. Let t be 9\/6 - (-2)\/4. Let -2\/3*q**t - 8\/3*q - y = 0. Calculate q.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -509\/6 - -85. Let d(p) be the second derivative of 0 - p - w*p**3 - 1\/24*p**4 - 1\/4*p**2. Factor d(c).\nAnswer: -(c + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2619134.834 to the nearest ten thousand.\nAnswer: -2620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 5*v - 59. Calculate s(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2906797 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-506)\/6 + (-2)\/3 + 0. Let t(j) = -8*j**2 - 2*j + 1. Let m be t(1). Let a = m - z. Is 23 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 8:11 AM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*4 + (-62 - (-80 + 31)) + 3*5.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*d - 2*y, 3*y - y = -3*d + 28. Let u(h) = h**2 + 3*h - 6. Is u(d) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 2*q + 4. Suppose 0 = -126*r + 128*r + 22. Let u(h) = h**3 - 5*h**2 - 11*h + 21. What is r*i(k) + 2*u(k)?\nAnswer: 2*k**3 + k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -5\/5741797?\nAnswer: -5\/5741797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(1300) - (-2*sqrt(1300) + -2 - sqrt(1300)))**2.\nAnswer: -62412 - 480*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9990 is divided by 477.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 220, 4\/3, 0.2, 8.1963?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(21)\/sqrt(3))*-4)**2.\nAnswer: -160*sqrt(7) + 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 353*c**3 - 563.\nAnswer: 1059*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -363 + 3991\/11. Let r = -0.9 + 0.5. Let d = r - -0.4. Which is the nearest to d? (a) -3 (b) h (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 2\/11, 1069, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y - 2. Let c(g) = -1. Let b(z) = -2*c(z) + k(z). Let m(j) be the first derivative of 25*j**2\/2 + 2*j - 88. Give b(m(v)).\nAnswer: 25*v + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -40292 divided by -14\nAnswer: 2878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in six fifths of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -846 - -1490. What is the remainder when 183 is divided by (5 + 2)*a\/98?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.7 - 1.7. Let o = 4 - r. Let k = 63559.32 + -63559.4. Which is the second biggest value? (a) -4\/3 (b) o (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l. Let c(d) be the second derivative of -d**6\/360 - 2*d**3\/3 - 7*d**2 + 85*d + 2. Let k(h) be the second derivative of c(h). Give r(k(v)).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 41*f - 14. Let q = 11153 + -11152. Give t(q).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1663 is divided by 167.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((-1 + sqrt(1331))*-6 + -3 + (sqrt(275) - (sqrt(275)*-2 + -3))*-2) + -2)**2.\nAnswer: 4032*sqrt(11) + 912433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 9 = 3*f - 7, 3*f + 2*i = 17. Suppose -3*u + 11 + 0 = 4*v, v = -u + 4. Calculate the least common multiple of v*2*1 + 7 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iwaiaawfiywfaafawawy. Give prob of sequence faa.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -5*u - 12. Let d(y) be the third derivative of -y**5\/60 - y**4\/3 - 3*y**3\/2 - 4*y**2. What is the units digit of d(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28840*l + 0 - 29123*l + 5*l**4 - 1 + 2*l**2 - l**3 + 57755*l to s*l + p*l**3 + v*l**4 + k*l**2 + c and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.08005 + -20.08005. Sort -2, -0.3, h, -3\/13.\nAnswer: h, -2, -0.3, -3\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 732867773, 732867774, 732867775?\n\"Answer: x + 732867772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*h - 2*h - 3*h)*(1 + 3 - 3 + (2 + 1 - 2)*(3 - 2 - 7)) in the form b*h + z and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 57\/53 + -1677\/1855. Sort -1, 1\/3, o.\nAnswer: -1, o, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 7:24 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 43, 100, 157?\n\"Answer: 57*w - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133574900 is divided by 44524958?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -515 + -40?\nAnswer: -555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i + 20. Let v be f(11). Let x(o) = -v*o + 11 - o**2 - 4*o + 4*o**2. Let m be x(8). Calculate the greatest common factor of m and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 1:06 PM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**4 + 53559*j + 2*j**4 - 297*j**2 - 94*j**5 - 53559*j wrt j.\nAnswer: -5640*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1337.86116 to 2 dps.\nAnswer: 1337.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -324 + 92 = 4*v. Let o be (11 - 1)\/(1\/v). Is -1 + -1 + o\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2596822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6374?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -23339, -23401, -23449, -23477, -23479, -23449, -23381?\n\"Answer: b**3 + b**2 - 72*b - 23269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13.4 - 14.4. What is the third smallest value in j, -2\/3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by (-14 - -1)\/(3\/(7 - 10)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2 + f. Suppose b = -5*u + 23, 2*u = -2*b + 18 - 12. Determine h(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gy when two letters picked without replacement from yvllyllqltvlg.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is 7\/16 of a millennium in months?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 5*a + 2. Let d be n(-2). Let i(v) = 4*v + 10. Let g be i(d). Let q = 12 + g. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -331669, -663170, -994501, -1325656, -1656629, -1987414?\nAnswer: -2318005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/30 and -103\/78790926?\nAnswer: 393954630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -6*i**3 - 3*i**2 - 3*i - 3. Let m be 5930\/6 + 22\/33. Let p(a) = 993*a - m*a + 7*a**3 + 5 + 4*a**2 - 1. Calculate -3*p(r) - 4*q(r).\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -866754*o + 9534294. Determine q(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 - -79. Let z = 77.4719 - 131.465. Let d = v + z. What is d rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 4:25 AM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1224.91 rounded to the nearest 10?\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k + 0*k = -31967. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a - 11*w - 1234 = -326 + 279, w = 11 - 120 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -256, -261, -276, -307, -360, -441, -556?\nAnswer: -711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2171 by -74.\nAnswer: -2171\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10746.03 - -10798. Let t = 52.2481 - y. Round t to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -o**6\/24 - o**4\/12 - o**3\/2 + 35*o**2. Let b be f(-1). Solve -b*g = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + 2 - 3) + (7 - 1). Let m(u) = -3*u - 3. Let f(s) = 4*s + 2. Let w(c) = -5*f(c) - 6*m(c). Determine w(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.2209 - -5207.0209. What is j rounded to the nearest 100?\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - 36*p - 203. Let v be n(-7). What is the second smallest value in v, -1\/5, 4.13, -6\/11?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-7)\/(-3))\/7)\/(36\/(-432)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/5 + 2*w**2\/5 - 320*w + 16896\/5.\nAnswer: 2*(w - 16)**2*(w + 33)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 5 + (2 - (1 - -4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + k - 112. Suppose -f = 3*f. Let w be z(f). Let s = -1234\/11 - w. Is 1 at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*y**2 - 18 + 18)*(-15136*y + 30267*y - 12 - 15146*y) in the form n*y + v*y**3 + r + l*y**2 and give l.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 123.7 and -0.4.\nAnswer: -49.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*7\/(-28)*(-2)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1393079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 110, 0, 2, -0.3 in descending order.\nAnswer: 110, 2, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + 15*p + 2. Let h be q(15). Solve h*f = f - 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 6*i = -20. What are the prime factors of i\/14 - 284\/(-14)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -152911576 divided by 101?\nAnswer: -1513976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34.8 + -39. Let h = -1.1 - m. Let b = -3 + h. Are b and 0.4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3635 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: -7757170 (base 8) to base 7\nAnswer: -23516056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1567 + 1061 = 6*q. What are the prime factors of q?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128\/288*27\/34?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 12:03 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 28757829469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9671554?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, n: 2, k: 2, w: 1, s: 1, q: 2}. What is prob of sequence qsk?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 14*y**2 + 8. Let q be z(-14). Suppose 79*c - q = 75*c. Solve -c*j - 10 = -4*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c + 21*c - 56*c - 714 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 912 divided by 38.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sshj when four letters picked without replacement from {h: 4, j: 2, d: 2, s: 2}.\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 i when two letters picked without replacement from {o: 4, i: 3, x: 7, q: 5}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 36119, 144424, 324913, 577586?\n\"Answer: 36092*p**2 + 29*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**3 + 5*y**2 + 184*y - 32. Calculate the remainder when a(-10) is divided by 105.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oopoooopooooopoopopo. Give prob of sequence pppo.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18754 - -18887. What is the highest common factor of 5149 and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x + 2. Let r be l(2). Solve r*w - w = 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/2))**(-1\/51)\/(w**3)**32)**11 assuming w is positive.\nAnswer: w**(-107723\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101925 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*r - 61 - 23 = 0 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/4, -0.94, 1\/4, -1\/15, -6.63, -0.3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 5:19 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gb when two letters picked without replacement from {g: 8, f: 1, b: 3, w: 2, s: 1, v: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 62*s**2 - 51 + 150*s**2 - 89*s**2)*(2 - 2 + 3*s).\nAnswer: -3*s**3 - 6*s**2 - 153*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2732 - 1634. Calculate the remainder when v is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2220 + -1320. Let k = s - 8108\/9. Which is bigger: 0.1 or k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -10.04 to one dp.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 189, 5, -2, -34, -23.\nAnswer: -34, -23, -2, -1, 5, 189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21604 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hjjc when four letters picked without replacement from {h: 2, c: 1, z: 2, j: 6}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*v + 28 = 6*y, -5*y = 2*v - 28. Solve r - y = -0*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3485583*y**5 - 123185*y**2 + y?\nAnswer: 209134980*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u + 3. What is o(-10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23730485.\nAnswer: 5, 53, 149, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.33 + 0.186. Let l = b - -0.044. Is l > 0.27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(0 - -1)*2. Suppose -4*b + 5*g + 24 = g, c*g = -4. Suppose -2*k + b*o = 3*k - 10, -2*k + 3*o + 4 = 0. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32500 + 32278.569. Let y = j + 221. What is y rounded to 2 decimal places?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45909, 56710, 67511, 78312?\nAnswer: 89113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 6*v - 6. Let n be r(7). Let p = -9 - n. Suppose 3*f + 44 - 7 = 5*u, -5*u = p*f - 9. Solve 0 = 3*q + 6, -6 = 5*x - u*q - 41 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*k - 4. Suppose -9 = 4*a - 5*x, 2*a + k*x - 16 = 7. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeedededeee. What is prob of picking 3 d and 1 e?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, m: 6}. Give prob of sequence vv.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -870.7, -2, -8, -1, -5\/2, -5 in descending order.\nAnswer: -1, -2, -5\/2, -5, -8, -870.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -7*(-25)\/105*2016. What is the tens digit of (45\/4)\/((-7)\/(j\/(-9)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eezetzett. What is prob of picking 1 z and 1 t?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b**2 + 8*b - 9*b**2 - 43*b**3 - 8*b**2 + 15*b**2.\nAnswer: -43*b**3 + b**2 + 8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14009\/3210 + -33\/1070. Suppose 0 = p - 5*p + 12. Which is smaller: p or c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -358049, -358049, -358085, -358175, -358337?\n\"Answer: -3*m**3 + 21*m - 358067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hff when three letters picked without replacement from {h: 3, c: 1, v: 4, f: 5}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f**3*h*i - f**3*h - f**3*i - 2*f**3 + 6*f**2*i + 31*f*h*i + 9*f with respect to h.\nAnswer: -2*f**3*i - f**3 + 31*f*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -187\/414 - -1\/138. What is the closest to 2\/3 in 1, 0.4, x?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*r - 11*r + 4*r**5 + 3*r wrt r.\nAnswer: 80*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44 - 23. Suppose j = -0*h + h. List the prime factors of h.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 474 + -38. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79\/(11218\/355)*3*(-588)\/35.\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17*r**3 + 114152*r**2 + 248523*r + 40302.\nAnswer: -(r - 6717)*(r + 2)*(17*r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) -7 (c) -102 (d) -0.41\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 994?\nAnswer: 1\/994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 5915602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11493995, -11493996, -11493997, -11493998, -11493999?\nAnswer: -11494000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(125)*1 + 4 + sqrt(125)*-1*-2)**2 + -1.\nAnswer: 60*sqrt(5) + 1128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -22, 5 in increasing order.\nAnswer: -22, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 437953, 1751895, 3941833, 7007773, 10949721?\n\"Answer: h**3 + 437992*h**2 - 41*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 12275611 divided by -89603\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 16028397 to the power of 1\/2, to the nearest integer?\nAnswer: 4004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -39? (a) -5 (b) 1\/25 (c) -1\/148\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -1\/74 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g - 46207015 = -3*g. Let x = g + 17941403. Round x to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.683 + 0.1436137447684.\nAnswer: -0.5393862552316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -6*b + 321. Give y(32).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4671 - -4680. Suppose -g + 2*x - 5*x + 2288 = 0, 4584 = 2*g + 2*x. Suppose b*a - 7*a = g. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2843482*q - 2843430*q - 4316 = 0 for q.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, -97, -432, -1091, -2182, -3813?\nAnswer: -6092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**5\/3 - 41408*n**4\/3 + 207160*n**3 - 1864700*n**2\/3 + 207322*n\/3 + 911636 = 0. What is n?\nAnswer: -20719, -1, 2, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12180\/4347 - (-1586)\/(-549).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 4*v + 4. Suppose 0 = 5*s - s + 20. Calculate the remainder when o(s) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -1\/8*u**4 + 6*u**2 + 0*u + 2*u**3 + 0. Let d be g(5). Which is the third smallest value? (a) -0.4 (b) 1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/1146 and 95\/354.\nAnswer: 67614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/16*18\/16*2\/9.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 5:56 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27.04 - -26.54. Let w(s) = 3 - 1 - s - s**2 + 0. Let t be w(-2). What is the smallest value in f, t, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -54863\/1324 <= -41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -29. Let o be (-22)\/8 + (-21)\/r. Let h = o + 2. Put -2, 4, h in descending order.\nAnswer: 4, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of 9*x**2 - 93*x + 57. Let p be o(3). What is the third smallest value in 2\/9, p, 0?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4545, -4534, -4523?\n\"Answer: 11*c - 4556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of y**5 - 123*y**3 + 15*y + 2 wrt y.\nAnswer: 20*y**3 - 738*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 144 by -3284596.\nAnswer: -36\/821149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.6 and -219.\nAnswer: 131.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 290.85\nAnswer: -581.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 651\/5, 19?\nAnswer: 651\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, 2.4, 0.03, 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q**2 + 3. Let v(f) = -f**3 + 11*f**2 - f + 12. Let i be v(11). Let n(p) = i + 4*p - 4*p - 6*p**2 + 7*p**2. Determine 5*n(o) - 2*z(o).\nAnswer: -o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37.6 - -37. What is the second biggest value in 0, -0.15, c?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -159*a**3 + 161*a**2.\nAnswer: -954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-33)\/(-22))\/((-3)\/4). Let l(w) = -w**2 - 8*w - 1. Let g be l(-8). Let h be (g + 0)*24\/6. Which is the second smallest value? (a) m (b) -5\/4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -76 + 76. Let q = 35 + -35. Which is the closest to x? (a) 13 (b) q (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*q + 74*q - 5*l - 11 = 0, l - 33 = -4*q. Suppose -3*d = 5*h - 35, 0 = -6*d + 10*d + h - 75. Calculate the greatest common factor of d and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-nine halves of a millimeter?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p - 3. Let u(s) = 5*s + 13. Let a(g) = -2*u(g) - 9*z(g). Let t(q) = -2*q**2 - 6*q + 7. What is -6*a(l) + t(l)?\nAnswer: -2*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = 62*q - 80*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 94*k - 466. What are the prime factors of n(15)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -5*u - 3. Let r be n(-3). Solve -2*t - 2*j + 2 = -5*t, 0 = -5*t - j - r for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2072 and 814?\nAnswer: 22792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*j = 23 + 82 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of 1\/2*h**3 + 22*h - 13*h**2 + 0 + 1\/60*h**5 + 0*h**4. Let d(x) be the first derivative of f(x). What is d(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - f + 22 = 0, -46 = -3*f - 25. Solve 4*q - 93 = -73, 10 = o + d*q for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + 1. Suppose -2*c = 33 + 21. Let q = c - -46. Calculate the remainder when q is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -356 divided by 1?\nAnswer: -356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 1\/11, 0.3, -3 in descending order.\nAnswer: 0.3, 1\/11, -2\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -71 - -76. What is the nearest to 2 in a, 3, 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**5 + n**5 - n**5 + (3*n**3 - 3*n**3 - n**3)*((2 + 1 + 2)*(2*n**2 - n**2 - 2*n**2) - 4*n**2 + 2*n**2 + 0*n**2).\nAnswer: 6*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2\/11)*i**(-2\/75) assuming i is positive.\nAnswer: i**(-172\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 7) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 3. Let v(x) = 10*x + s*x + 11*x - 7*x. Let q(t) = 4*t**2. What is v(q(f))?\nAnswer: 64*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) - (sqrt(76) - (sqrt(76) + (sqrt(76) - -6*sqrt(76)*1) + sqrt(76))) - sqrt(76)*-1*-3)\/((sqrt(4) + 1*-2*sqrt(4))*-3).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 43 and -3?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -147\/4 - -36. Suppose -2*z + s + 7 = 0, s = z - 0*s - 5. Which is the smallest value? (a) z (b) 0.1 (c) -2 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 9, l: 2, z: 3, r: 4}. What is prob of picking 2 z, 1 w, and 1 r?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -c**5\/10 - c**4\/2 - c**3\/3 - 9. Let t(a) be the third derivative of u(a). Find the first derivative of t(k) wrt k.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 843195202 and 27736?\nAnswer: 6934","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + -18 + 1 + (-21 - -27)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 3, -428 in decreasing order.\nAnswer: 3, -3, -5, -428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -363412 + 363425 - 65*h**2 - 370*h**2 - 11*h**2 - 83*h**2 in the form d*h**2 + y*h + a and give a.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/3915 - 12617\/3915. Let a = -1924 + 3941\/2. What is the common denominator of f and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 18710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c + 25*y - 72, -4*c + y = 5230 - 5184 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + 4 + 14398)\/(40 + -39) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*z - 933*z - 1410*z.\nAnswer: -2384*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.8 + -1.3. Let x = 5.5 - 3. Let w = b + x. Which is smaller: -0.3 or w?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-8)*234*(-41)\/(-1722).\nAnswer: 39\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 1:23 AM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1935487769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/(-15))\/(4\/(-10)). Find the third derivative of q**4 - q**4 - a*q**2 + q**4 wrt q.\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/35*5\/(-9). Let f = -0.4 + 0. Let u = 2 + -1.8. Put f, k, u in ascending order.\nAnswer: f, k, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + w + 0*w + 11)*(-3 - 3 + 1) to m + b*w and give m.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/6)\/(2\/(-24)). Suppose h + 2 = 2*a, h - r - 2 = -2*a. Calculate the remainder when a is divided by 1*(2\/(-2))\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 18 + 10 = -4*p, 5*p = 5*l. Which is the smallest value? (a) -0.1 (b) l (c) -14 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 4:24 PM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-r - r - 2*r)*(-3 + 0 + 1) - 3*r - 4*r + 5*r + 0*r - r - 2*r)*(2*r + 0*r - 3*r) as o + s*r**2 + y*r and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156184?\nAnswer: 2, 7, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of 4 + 0*s + 0*s**3 + 0*s**2 + 2\/15*s**5 - 1\/9*s**4 - 1\/27*s**6. Factor u(w).\nAnswer: -2*w**3*(w - 2)*(w - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -19*j**2 - 16*j - 21. Let p(z) = -5*z**2 + 2*z + 1. Let q(f) = l(f) - 4*p(f). Give q(25).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 3. Which is the biggest value? (a) -1\/3 (b) -4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 10:46 PM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x + 1. Let l be h(11). Let p = l - 11. Solve p = o + 6 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2106 = -h - 485, -5*h + 4*d + 8042 = 0. What is the highest common factor of h and 5111?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 2448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53 + -43. Suppose t - f = f - x, -2*t = f. Suppose -4*n + 2*n = 2. Which is the closest to t? (a) 0.1 (b) 4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 167129 and 148?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w**4 - 4*w**4 - 2*w**4)*(3 - 2 - 2) - w**4 + 2*w**3 + 753*w**2 - 5 - 754*w**2 - 2*w**4 as i*w**3 + h*w + t + f*w**2 + g*w**4 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -20. Let v be (i - 11)*(-2)\/(-12). What is the third biggest value in 0.2, v, -2\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of 6 - 55\/12*m**4 + 0*m**5 - 6*m + 0*m**3 + 0*m**2 - 22\/15*m**6. Find the third derivative of k(n) wrt n.\nAnswer: -1056*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 16*o = -14*o + 5, g = -4*o + 1. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 143763 from 1.4760951.\nAnswer: -143761.5239049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -776.\nAnswer: 773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from ccccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -43132642 - -3?\nAnswer: -43132636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -2 - 3) + -1 - -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 + 5)*(-74)\/2. Let v = -16 + n. What is the remainder when ((-7)\/v)\/((-2)\/42) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 o when four letters picked without replacement from {o: 2, t: 7}.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -276 divided by 4941.\nAnswer: -92\/1647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 12. Suppose -y*m - 6 = -7*m. Suppose -19 = -m*x + 41. What is the least common multiple of x and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 3*o + 94, 2*v - 70 = -2*v - 5*o. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -274000, -548382, -822764?\nAnswer: -1097146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -466.6 * -155\nAnswer: 72323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 30 = 4*l, 0*l + 2*l = -2*t + 24. Suppose 5*m = l*m - 155. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l + 11 - 2 - 3 + 4. Let u be x(-8). Let h be (10\/(-12))\/(3\/(-9))*2. Solve 2*y - 27 = h*p, u*p = -4*y + y - 7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence seew when four letters picked without replacement from {w: 1, q: 9, s: 1, e: 2}?\nAnswer: 1\/8580","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 186767 + -1142485\/6. Let j = -3659 - y. Find the common denominator of j and (-2 - -2) + 327\/78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -r + 7, 3*q + r = -4 + 17. Let n(a) = 3 - 4 + 6*a + q*a. What is the units digit of n(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 11:10 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 71 - (1181 + -1130).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 - -137.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 - w**2 - 9*w**2 + (-w + 4 - 4)*(-4*w + 0*w + 2*w))*(10*w + 1 - 3*w + 0).\nAnswer: -49*w**3 - 7*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of 739*n**7\/42 + 47*n**4\/3 - n - 21. Find the third derivative of y(d) wrt d.\nAnswer: 44340*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xqr when three letters picked without replacement from xqzxxrzmqzz.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5*v - 20 = 0. Solve 3*s - 2 = n + s, -4*s = v*n - 18 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -11422, -22856, -34292, -45730, -57170?\n\"Answer: -c**2 - 11431*c + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8977*k**2 + 6292*k - 1211*k - 1296*k + 6464*k + 471*k wrt k.\nAnswer: 17954","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000 (base 2) to base 12.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 + -2011251?\nAnswer: -2011242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 630*a**3 - 85*a**2 - 85*a - 85. Let g(h) = 15*h**3 - 2*h**2 - 2*h - 2. Let t = 7273 + -7528. Calculate t*g(k) + 6*f(k).\nAnswer: -45*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100330 - -13?\nAnswer: -100311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2 - 21*c.\nAnswer: -3*c*(c + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 573 divide 214724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -503642 and -15.4.\nAnswer: -503657.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 4*r = -13, -3*j + 4*r + 0 = 7 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 8 = -8. Let y = d - 2. Let t(n) = 2*n - 2. Let j(u) = 5 + 2 + 19 - 27. Give y*j(r) - t(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 5:50 AM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -4 + 9 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/15 - 1796*f\/15 + 2384\/5.\nAnswer: 2*(f - 894)*(f - 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*b + 3599 = 683 for b.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6, 5, 12, -1, 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*u + 30*u = 20*u - 2340. Calculate the greatest common divisor of u and 1209.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*37 + (-1364 - -1347)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5688 and 585.\nAnswer: 369720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 6*j. Suppose q = 2 - j. What is q rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -57, -103, -125, -111, -49, 73?\n\"Answer: 2*o**3 - 60*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 32270000 to the nearest one hundred thousand.\nAnswer: 32300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1313481590 to the nearest integer?\nAnswer: 36242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - 1608\/(-56))\/(21\/(1029\/14)). Solve 151*x = o*x + 80 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 5*c = -240, 14*c = 5*h - 9*h + 252. Solve 0 = -h*i + 68*i - 104 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/91 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1928, -3837, -5732, -7607, -9456, -11273?\n\"Answer: k**3 + k**2 - 1919*k - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-5)\/2)\/((-3)\/30). What is the highest common divisor of b and 200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(1\/2))**(-33)*(r*r**1)**38 assuming r is positive.\nAnswer: r**(53\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1109\/11 + 101. Let z = 1763\/5 + -350. Which is the third biggest value? (a) -0.3 (b) f (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from vjjvjjb.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 4*x. Let l(g) = -4*g. Let o be ((-342)\/152)\/(3\/4). Give o*r(s) - 4*l(s).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1166390542 to the power of 1\/4, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z + 3. Let u be i(-3). What is the units digit of (30\/u)\/(12\/18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - -14. Let c = 1147\/7 - 161. Calculate the common denominator of (-2570)\/315 + (-5)\/d + -1 and c.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 439*v - 24359 = -320*v + 1447 for v.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*10\/(400\/(-8)).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 42 = -2*n + n, 4*n - 123 = 3*a. What is the remainder when n + 4\/(-8)*4 is divided by ((-1)\/(1\/(-13)))\/1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 10*k**2 + 11*k + 33. Let f be g(-3). Factor -10*m**2 + f*m + 10 - 3*m**3 - 2*m**3 - 85*m.\nAnswer: -5*(m - 1)*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*c = x - 16, 0 = -4*x + 2*c + 10. Let i = -28 - -61. Let y = i + -33. Solve -r + x*r - 3 = y for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -388.000342 - -388. Round m to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -29.\nAnswer: 14.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4}. What is prob of picking 3 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 3*k = 17 + 5, 3*n - 3*k = 6. Let b be -2*n\/6*-3. Suppose 4*f = b*t + 288, -4*t - 289 = -5*f + 66. List the prime factors of f.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3427 is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 - 32. What is the common denominator of -26\/7 and (-159)\/k - (4 - 4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 43 - 3 = 0. Is a smaller than -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 1308924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 122 = 4*w, -114 = -5*w + w + j. Let u = w - 18. Calculate the remainder when 19 is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-23)\/((-1196)\/23907)*(-520)\/(-6).\nAnswer: 5, 13, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4752) - 2*sqrt(4752))*4*-1)\/((sqrt(11) + sqrt(66)\/sqrt(6))*-3 + (sqrt(11) - (sqrt(22)\/(sqrt(18)\/sqrt(9)) + sqrt(11)))).\nAnswer: -48*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, f: 2, y: 3, g: 1, p: 2, n: 6}. Give prob of picking 1 f, 2 q, and 1 g.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -75168 and -0.2.\nAnswer: 15033.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 13, 133, 363, 703?\n\"Answer: 55*b**2 - 45*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39207, -156848, -352907, -627384, -980279, -1411592?\nAnswer: -1921323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1656027141 to the power of 1\/3, to the nearest integer?\nAnswer: 1183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**2 - 48042*j + 384208 = 0.\nAnswer: 8, 24013","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 30, -0.1127, -14\/29?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -2 - (9 - 6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 30.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003504429 rounded to seven dps?\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 3*t + 28 - 4, r = 6*t + 13. Solve -r*y - 11*y = 90 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587847614 to the power of 1\/3, to the nearest integer?\nAnswer: 838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -240 + -352?\nAnswer: -1032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 286486049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(162)*-2 + sqrt(162) + sqrt(162)))\/sqrt(3))\/((sqrt(90)\/sqrt(3)*-5)\/((sqrt(810)*1 - sqrt(810)) + sqrt(810))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {k: 3, z: 3, n: 1, y: 1, c: 2, a: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -1) + (-12)\/18. Suppose -43*s = -18*s - 24*s + 1. What is the fourth smallest value in -15, 1\/4, s, z?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of 1\/12*b**4 + 2*b**2 - 1\/6*b**3 + 0*b + 0. Give o(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 5*p + 4*m, -18*p + 20*p + 4*m + 6 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(3))*1 + (sqrt(3)*2*-4)**2 + 1 + -4 - (6*-2*sqrt(75)*-1*2)**2.\nAnswer: -43011 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1792744517.\nAnswer: 7321, 244877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -86 + 89. Let a be ((-1520)\/15)\/4*g\/(-2). What is the remainder when 115 is divided by (a - -1)\/(-6 + 5 + 2)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 1 + 7 = 5*n, 2*n = -5*w - 9. Suppose -3*j - 30 = 5*b - 1, -2*b = -j + 5. Let v = 9 - j. What is the greatest common factor of v and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -206 (b) -2\/7 (c) -1\/8 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g + 10 + 2*g - 3*g. Suppose -2*i + u + 4*u = -245, -357 = -3*i - 3*u. Let y(q) = 114 - 352 + 116 + i. Give -2*l(h) - 11*y(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8810794 divided by 782?\nAnswer: 11267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9281?\nAnswer: 9281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5836?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4111 (b) 0.4 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42476 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 5, 3 in decreasing order.\nAnswer: 5, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gwv when three letters picked without replacement from vgwon?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 777.\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -16 (b) -342 (c) -2\/9 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 4*a + 2, -115*l + 110*l + 5*a = -5. Solve b - 2*x + l = 0, 9*b = 4*b - 2*x - 17 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 8*q + 8. List the prime factors of t(9).\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.93, 0.08, -4?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1115 - 587 = 16*r. Solve -25*o - 42 - r = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17383320 to the nearest one hundred thousand.\nAnswer: -17400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 4*s - 8 = 6*f, -3*f = -2*s + 4. Solve -3*b - j + 3 = -0*b, 2*j = f for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 p when three letters picked without replacement from psddrslp.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) - (sqrt(288) - (-1 + sqrt(288))*-5)) + 0 + sqrt(450) + sqrt(450) + 2 + 0)**2.\nAnswer: -420*sqrt(2) + 1849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -12*r**3 + r**2 - 1. Let q be d(1). Let x = q - -12. Suppose x = u + 14 - 44. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-42)*189\/135.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) + sqrt(1300) + 1 - sqrt(1300))**2*2 - 6*(sqrt(130) - 1*sqrt(130))\/sqrt(10).\nAnswer: 40*sqrt(13) + 2602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-20)\/6)\/((-20)\/30). Suppose -i*n + 128 = -9*n. Suppose 11 = 3*x - a + 105, -4*a - 72 = 2*x. Is n at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 15092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1161689110?\nAnswer: 2, 5, 116168911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3059357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2754727?\nAnswer: 971, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2341 is divided by 69?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**3*v**5 - 5*i**3*v**2 - 6*i**3*v - 2*i**2*v**2 + 7*i**2*v + 5627*i*v**6 wrt v.\nAnswer: -120*i**3*v**2 + 675240*i*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 0.8, 5, -10\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -64993614*b**4 - 51*b - 3035237?\nAnswer: -779923368*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - 25*g - 7. Does 10 divide x(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.15 - 5.15. What is the second biggest value in 3, h, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -0*n - h - 4, 4*n - 2*h = 0. Let x = 1 + n. Put x, 3, -4 in ascending order.\nAnswer: -4, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 1, 2*f - b + 239 = 4*f. Let v = 122 - f. Suppose 5*z + v*z = 91. Calculate the highest common divisor of 65 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2231 + 2?\nAnswer: -2224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2029132 rounded to three decimal places?\nAnswer: -0.203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3433.184km in centimeters?\nAnswer: 343318400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -28*u - 843. Let l be m(-30). What is the nearest to -56 in l, 5, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7798 and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*l - 200191, 9*l = 7*l + 3*v + 200209. Round l to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -6*z**2 - 3*z + 3. Let c(j) = 5*j**2 - 6. Let n(l) = -10*l**2 + 2*l + 13. Let f(y) = 5*c(y) + 2*n(y). What is -4*d(b) - 3*f(b)?\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -2*y - 2, -5*i = -3*y + 1796 - 1774 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 4 = 22. Let c = b + -3. Solve 5*p - 2*p - 4*j = -7, -5*p - c*j + 27 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -113, -545, -1493, -3155, -5729, -9413, -14405?\nAnswer: -20903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3 + 216*x**2 + 212*x.\nAnswer: 4*x*(x + 1)*(x + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1218301.182 milliseconds?\nAnswer: 0.002014386875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*(sqrt(153) - (sqrt(153)*2 + sqrt(153))))\/sqrt(9).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2852299 is divided by 22459.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/13)*p**16\/p*(p**(-20)*p)\/(p**24*p) assuming p is positive.\nAnswer: p**(-375\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 6*l**2 - 4. Let w be n(-6). Let v be 302 + (6 - 4) + w. Suppose -t - 3*t + v = 0. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -157, 34, 351, 794?\nAnswer: 1363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -7 + 7*h + 2*h - 10*h. Give o(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -11*x - x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -11*r + 11. Let y(k) = -13*k + 13. Let t(l) = -6*s(l) + 5*y(l). Let u be ((-2)\/(-3))\/(1\/(-6)). What is t(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/21)*m**13)**41\/(((m\/(m**(-13)*m*m*m))\/m)\/m**(-6\/5))**(-2\/5) assuming m is positive.\nAnswer: m**(284227\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**27\/o**(-7\/4))\/((o\/(o\/(o*o**(-2\/31)*o)))\/(o\/(o\/(o*(o\/o**(-18))\/o)))) assuming o is positive.\nAnswer: o**(5681\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 122 - 106 = 0. What is the remainder when d is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 439596, 0 in increasing order.\nAnswer: 0, 19, 439596","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5456 (base 13) in base 8?\nAnswer: -26724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.69 + -1.39. Let x = -20 - -20.4. What is the biggest value in 0.5, x, m, 1\/11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*r + 29*r + 20 = -5*s, 0 = 4*s + 12 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1866 - -637. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4 = 0, y + 2*t - 11 = 3. Solve -4*u + y*u = 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 393, 3946, 13563, 32268, 63085?\n\"Answer: 504*z**3 + 8*z**2 + z - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three fifths of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 291*d**2 + 12*d + 17. Is g(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, 0.3, -37, 1.3?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3773*n - 10748*n - 46697 - 311188 - 4815 for n.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -54.562 rounded to 0 dps?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 33\/1 + 10374\/(-247)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 - 19. Let z be 4 - (2 + 1)\/b. Suppose z = 5*w - 9. Solve 2*k = -w*x - 6, 3*x + 9*k + 7 = 4*k for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 326568665 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.34 + -0.16. Sort 2, 10, s.\nAnswer: s, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-26)\/(-6) - 2\/(-3). Let b(p) = -7*p - 1. Let t(l) be the second derivative of 3*l + 0 + l**3 + 1\/2*l**2. Give d*t(n) + 4*b(n).\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -24741.61 rounded to the nearest 100?\nAnswer: -24700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 7*s + 7. What is i(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 + 0 = 3*c. Suppose -c*v = -5 - 4. Let d(s) = -s + 2. Let f be d(2). Which is greater: v or f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 356316550 to the nearest integer?\nAnswer: 709","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8261808 + -12251808. What is a rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v + 4. Let f(z) = 1. Let t(h) = a(h) - 4*f(h). Let u(n) be the first derivative of n**3\/3 + 4. Give u(t(m)).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-12)\/(-6))\/(8\/(-6)))\/15.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20349 is divided by 192?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 59824867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of x**4\/24 + 5*x**3\/3 - 3*x**2. Let h be v(-7). Solve -a + h*a + 4 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -81*w + 4744. Let j(r) = -47*r. Give j(y(u)).\nAnswer: 3807*u - 222968","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -109 divided by 25528?\nAnswer: -109\/25528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 457 and 566.7?\nAnswer: 258981.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.538 rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 + -9. Is 21\/w*(-7)\/((-21)\/18132) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.9? (a) 1\/5 (b) 2\/7 (c) -1 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -0*p - 84. Let i = -1 + p. Let o = i + 32. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h - 1 - 3*h + 0*h**4 + 3*h**4 to the form d + a*h + w*h**2 + c*h**4 + t*h**3 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (3\/((-15)\/2))\/(96\/240)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -1 - (-4 + (12 - 3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16386, -16398, -16420, -16452, -16494?\nAnswer: -16546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 807074151?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*(-3*r + 1646 + 1889 - 3040).\nAnswer: 6*r - 990","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5613567 is divided by 153?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -121164 by -2.\nAnswer: 60582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -4*h**3 + 43*h**2 + 9*h - 3. Give x(11).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/10)\/((-3)\/30). What is the nearest to 0.2 in -1, b, 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -603, -2393, -5401, -9633, -15095, -21793?\n\"Answer: -b**3 - 603*b**2 + 26*b - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/156025913 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/33 + 62\/22. Determine p, given that -z*p**5 + 5*p**5 + 0*p - 2*p**4 + 0*p = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/9)\/(4\/(-6)). What are the prime factors of 1\/l - 25\/(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -198103963.67 rounded to the nearest ten thousand?\nAnswer: -198100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2 + sqrt(605) + (sqrt(605) - (sqrt(605) + ((2 + sqrt(605))*-6 - sqrt(605)))) + sqrt(605) + (sqrt(605) + -2)*-2 + 5 + sqrt(605) + -2)**2.\nAnswer: 2816*sqrt(5) + 38976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -324288 divided by 36032.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32.24 + 0.76. Let g = i + -31. What is the second smallest value in g, 2\/3, -1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k. Let v(b) = -5*b. Let y(t) = 217*t. Let z(a) = -325*a. Let p(i) = -8*y(i) - 5*z(i). Let q(n) = 5*p(n) - 105*v(n). What is f(q(j))?\nAnswer: -30*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 86 - 24. Calculate the remainder when c is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4*q = 0, 14*s - 15*s - 3*q - 1 = 0. Let t(i) = 7*i - 1. Let c(l) = -1. Let u(y) = -3*c(y) + t(y). What is u(s)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 12:02 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26.064 - -0.064. Let d = -23.2062 - 2.79464. Let r = d - k. Round r to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -440, -881, -1322, -1763?\n\"Answer: -441*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1855517 - -0.7\nAnswer: -1855516.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 + 10. Let s be 4\/a + 26\/6. Let b = 9 - s. What is the lowest common multiple of 8 and b?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-96)\/144 - 184\/(-294)\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -5*c**3 - 7*c**2 + 46*c + 19. Is p(-16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 5153952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.003 - -25.997. Let a = 18 - k. Let l = 1761\/4 + -440. Is l less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -6*i**2 + 13*i. Let v(k) = 7*k**2 - 9*k. Let t(c) = 2*f(c) + 3*v(c). Let b(q) = q**3 + 6*q**2 + 4*q - 4. Let u be b(-5). Determine t(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 120?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 y when two letters picked without replacement from gxoxgyoooxogg?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 205\/4, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 6*n + 2. Suppose -w + 4*w - 60 = 0. Let k be (-8)\/w - (-2)\/5. Suppose -5*u + k + 35 = 5*l, 0 = 3*l - 12. Calculate x(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.3? (a) -0.1 (b) 0.1 (c) -3 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h + 6. Let d be 6\/(-4)*(-12)\/9. Let r(n) = -2*n**3 + 2*n**2 + n + 2. Let i be r(d). Give p(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -4 (c) -0.021 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39 - -123) + -105 - -109?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 378b3 (base 16) in base 12?\nAnswer: ab7ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2039282\/423 + -4821. Is n less than or equal to 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 t when two letters picked without replacement from tvttttttvtttvttt.\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-17)*i**34*i*i)\/((i**28\/i)\/(i**(2\/25)\/i)) assuming i is positive.\nAnswer: i**(-223\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3*g - 25 = 0. Let u(r) = -3*r**3 - 17*r**2 + 7*r - 14. Let q(a) = -a**3 - 8*a**2 + 4*a - 7. Let n(o) = 5*q(o) - 2*u(o). What is n(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*(o*o**(-2\/47)\/o*o)\/o*o*o))**(-34) assuming o is positive.\nAnswer: o**(3128\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 11, 4 in ascending order.\nAnswer: -5, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/783 + 7306\/783. Let w = -9 + y. What is the nearest to 1 in 5, w, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/9 + 1084864*i\/9 + 147116237312\/9.\nAnswer: 2*(i + 271216)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 2*u - u**2)*(u + 3*u - 5*u) + (-7*u + 3 + u - 6*u)*(2*u**2 - 2*u**2 - u**2).\nAnswer: 13*u**3 - 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/1378 and -99\/26?\nAnswer: 1378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/3? (a) -0.3 (b) -2 (c) 113\/1263 (d) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 11) to base 15\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 367 = 11. What are the prime factors of q?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*0.09\nAnswer: -0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 18 = 2*c + 2*c, 5*c + 3*t = 25 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -104 + 104.1. Let o = -24 + 19. What is the smallest value in -1\/5, o, 3, x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n + 2*z - 9, 668*n - 665*n - 206*z = -1245 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (1 - (-2 - -6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnlc when four letters picked without replacement from nfrnnblflrnnrnncn?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -218*n + 2863. What is the least common multiple of y(5) and 33?\nAnswer: 19503","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -64*u**2 + 28*u - 28. Let q(b) = -333*b + 0*b**2 + 0*b**2 - 7*b**2 + 336*b - 3. Give -56*q(l) + 6*r(l).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b3 - -70513?\nAnswer: 705c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**2 + 11*u - 11*u)*(3 - 2 - 3) - 5*u**2 + 3*u**2 + u**2 + 1.\nAnswer: 7*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -o**5\/20 - o**4\/12 + o**3\/6 - 9*o**2\/2 - o - 4. Determine z(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -195900 (base 15) to base 2.\nAnswer: -100101101001111101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -30536 < -30263?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**5 - 7*s**4 + 7*s**3 + 51*s**2 - 144*s + 108.\nAnswer: (s - 3)**2*(s - 2)**2*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -0*f + 5*n + 11, 5*f + 2*n = 8. Suppose -5*u = -f*u - 96. Is 12 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1)**(-4\/11)\/(v**(-6)*v*v*v*((v\/(v*v**(5\/2))*v)\/v*v)\/v) assuming v is positive.\nAnswer: v**(113\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/7 or 73\/124?\nAnswer: 73\/124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 884\/(-85)*510\/1428.\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4*(-3)\/12*-16307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37*c**4 - 2366*c**3 + 45*c**2 + 2*c + 2392310?\nAnswer: -444*c**2 - 14196*c + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 1. Suppose 5*j = -p*j. Factor 3*m**4 - 7*m**5 - 4*m**2 + j*m**5 + 8*m**5.\nAnswer: m**2*(m - 1)*(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 + 51. Let x = 19 - j. Let l = -12 + 17. Which is the nearest to x? (a) 0 (b) l (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a milligram in micrograms?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 531035.2 nanometers?\nAnswer: 0.0005310352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 135*m**3 + 390*m**2 + 375*m + 370. Let s(c) = -8*c**3 - 23*c**2 - 22*c - 22. Let u(a) = 3*h(a) + 50*s(a). Determine n, given that u(n) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7659 - -114839\/15. Is s smaller than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 219140 + x - 109630 - 109510.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 7) to base 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of 0 + 1\/2*s**2 + 6*s. Let v(k) = k**2 - 5. Determine 5*f(j) + v(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u\/(u\/(u**(-1)*u)))))**(-36)*((u**(-1)*u)\/u)**(2\/93) assuming u is positive.\nAnswer: u**(-2\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50 + -8. What are the prime factors of v?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-42)\/(-8))\/(-1) - -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.523 to zero dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 117797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 1)*(1 - 4 + 573*a**2 - 574*a**2 + a).\nAnswer: -a**2 + a - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18948 is divided by 390?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 41*j = -12614. What is the remainder when j is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6417310 is divided by 1236?\nAnswer: 1234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -1, -4, 924, -32 in decreasing order.\nAnswer: 924, 5, 3, -1, -4, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -13508011.24 rounded to the nearest one hundred?\nAnswer: -13508000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 23\/(-11) - (-9898)\/1111.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9290261?\nAnswer: 2237, 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - 17*i - 13. Let c be z(-16). Let t be 1\/(c + -1)*1. What is the second smallest value in -3, 2\/7, t?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1833182 divided by 4.\nAnswer: -916591\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2865164021.\nAnswer: 79, 36267899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -21 and 175915670516?\nAnswer: 175915670537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17*q + 133 - 133)*(545 - 545 - 127*q) in the form j + i*q**2 + k*q and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/360 and 95\/12.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -329*u**2. Let g(m) = -6*m. Determine g(i(d)).\nAnswer: 1974*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 5) to base 9.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 5 - (7 - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0387515 rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 133*b**2. Let t(f) be the first derivative of f**3\/3 - 54. What is t(a(o))?\nAnswer: 17689*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s - 2*s + s**4 + (-2*s - 3*s + 3*s)*(-4*s**3 + 2*s**3 + 3*s**3) + (-1 + s**3 + 1)*(53*s + 350*s - 196*s) + 6*s**4 - 4*s**4 - 3*s**4.\nAnswer: 205*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -4, -1217, -3, -7.\nAnswer: -1217, -7, -4, -3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 5*t**2 + t - 1. Let g be q(5). Let d(i) = 11*i**2 - 2. Let s be d(g). Let u = s - 121. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1 + 0)\/(5\/((-30)\/(-6))))\/(297\/(-9))\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 3:15 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -1, -6 in decreasing order.\nAnswer: -1, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -157073 + 82628. Let g = -74089.79 - r. Let m = g - 357. What is m rounded to 1 decimal place?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 30, 73, 138, 225?\n\"Answer: 11*w**2 + 10*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000366 rounded to 6 dps?\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = k + 15, 4*k - 102 = -5*q - 0*k. Let j be (-4)\/18 + (-176)\/q. Let w be (-18)\/(-627)*j - 4\/(-22). What is the closest to -1\/4 in 0.4, w, -2\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101 + (0 - 0) + (-1389 - -1420).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 671350 and 430861579.\nAnswer: 431532929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 9 = -4*l. Which is the biggest value? (a) l (b) 2\/3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*z + 2 = 211 + 259 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 84032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 65*s + 839. Let j be o(-76). Factor -3\/2*z**j - 3\/4 + 5\/4*z**4 + 7\/4*z - 1\/4*z**5 - 1\/2*z**2.\nAnswer: -(z - 3)*(z - 1)**3*(z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(77) - 1*sqrt(77)*5))\/(sqrt(1008)\/sqrt(9) + sqrt(63)\/sqrt(144)).\nAnswer: 96*sqrt(11)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(425))**2*5 - (sqrt(425) + (sqrt(425)*2)**2)*-1) + -4*(sqrt(425) + 1 + 1)**2 + 4 + -3.\nAnswer: -75*sqrt(17) + 8485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96, 92, 84, 72, 56, 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is c1 (base 13) in base 16?\nAnswer: 9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*j = v + 24, 3*j + 21 = 3*v. Factor -6*b**3 + b + 3*b**5 + v*b**4 - 2*b**4 - 6*b**5.\nAnswer: -b*(b - 1)**3*(3*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t - 1. Let i(p) = 0 - 25 + 12 + 11 + 5*p. What is -3*i(f) + 6*r(f)?\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 42965?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q + 45. Does 11 divide b(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*j + 269 - 764. What is the highest common divisor of j and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - 5*t - 6, 5*d - 398*t + 387*t - 16 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 13557, 13384, 13183, 12954, 12697?\n\"Answer: -14*r**2 - 131*r + 13702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13164)\/(-34007) - 1962\/4588?\nAnswer: -3\/74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 66408 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -2*t - t - 25, -3*r = -2*t + 15. Solve 4*b + b - 20 = t for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6067 + 6067 + 3*f**2.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = v - 14 - 17 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1626*a + 1627*a - 3252*a + 108.\nAnswer: a + 108","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1203 - 3.1203. What is the second biggest value in 1, -0.5, -58, h?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 349 - 163. Let f = 463 + k. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, k: 3}. What is prob of picking 2 z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -81, -241, -541, -1023?\nAnswer: -1729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -913103*s + 1824652*s - s**3 - 912644*s.\nAnswer: -s**3 - 1095*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m - 7. Let q = -191 - -196. Let c(l) = -3*l + 0*l + 8 - l. Determine q*c(s) + 6*b(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8.37 and -94.\nAnswer: -85.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 26\/(((-18)\/(-4))\/((-4173)\/5564))\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/8 + 7\/4. Suppose 1 = -a + 2*h + 14, 5*a - n*h = 33. Factor -10*y**2 + y**2 - 11*y + a*y.\nAnswer: -3*y*(3*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 5*y - 12, 2*b - y = -5. Let c be b + 3\/1 - -6. Solve 0 = 3*x - 5*z + c, -2*x = x + 3*z - 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -132 - -138. Let z be (-1)\/((-9)\/q)*(2 - -1). Let x = 8 + -4. Solve -2 = x*w - z*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -g**4\/12 - 179*g - 167. Let k(a) be the first derivative of c(a). Let q(m) = 203*m**2. Calculate k(q(n)).\nAnswer: -41209*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**4\/11 + 20*a**3 + 5354*a**2\/11 - 3480*a + 60552\/11 = 0. Calculate a.\nAnswer: -58, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/835741442 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 13 + 0 = 4*g, t = 5*g + 10 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -11\/4, 0.1, -5, -36, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 29968712 and 52445246.\nAnswer: 209780984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -13715*s**2 - 18*s + 6. Let p(i) = -5732872*i**2 - 7527*i + 2509. Give -6*p(u) + 2509*w(u).\nAnswer: -13703*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 10. Let m be (891\/(-1716))\/((-12)\/16). Is m > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27.262 + -27.062. Sort 3, f, 0.371, -2, -3\/5 in descending order.\nAnswer: 3, 0.371, f, -3\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 4.6. Let c = 8 + 1. Let q be (-4)\/6*3\/c. What is the closest to q in -2\/7, m, 2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 9*t**2 + 10*t - 15. Let q be k(8). Suppose 4*o + 3*s + q = 3*o, o - 4*s + 1 = 0. Calculate the common denominator of 1\/8 and (-4 + -9)*o\/(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5228, 4317, 1844, -2971, -10908?\n\"Answer: -130*c**3 - c**2 + 2*c + 5357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - ((-3 + 19 + -11 - -7) + -38)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 36*d**2 + 205*d + 23. Determine t(-7).\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - (7 - (39 + 9)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10071374.09 rounded to the nearest 100000?\nAnswer: -10100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7827715939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.5 (b) 0.42 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 8913*y**2 - 10*y - 11. Is o(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.67 + -1.7. Let m = -28.03 - w. Let s = -31 - m. What is the nearest to -1\/4 in -4, s, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 17 = 13. Calculate the remainder when 291 is divided by (y\/(80\/12))\/(12\/1168).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54.8 - 50.8. What is the second biggest value in s, 3\/8, -4, 7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1278\/11 - -116. Which is the fourth biggest value? (a) o (b) -41 (c) 0.1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (4 - -3) - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*a**2 - 121*a**2 - 200*a**2 + 302*a**2.\nAnswer: -180*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2799 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) 0.5 (c) 3 (d) 0.0542465 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 202 - -56. Let f be (-178 - 1)*(1 - 0). Let y = f + b. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -439, 48, 1389, 4010, 8337?\nAnswer: 14796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - l**2 - 3*l - 1. What is the lowest common multiple of (0 - 1)*2*(-54)\/9 and j(-2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36548700 is divided by 55?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -5*s + m, -57 = -6*s + 3*s - 4*m. Let l(d) = d**3 - 16*d**2 + 17*d - 14. Let i be l(s). Is 14 <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*n - 3*n. Suppose -t = 3*o + t - 13, n*t = -o + 16. List the prime factors of (16 - o) + 6\/(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (102\/(-24))\/17 + 453\/4. Suppose -3*x + 8*x = h + m, h + 21 = x. List the prime factors of x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -3, 4, 247, 2.\nAnswer: -5, -3, 2, 3, 4, 247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2323 - 2?\nAnswer: 2321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -7*j**2 - 8*j + 9. Suppose -93*l + 411 = -54. Let t(b) = 10*b**2 + 12*b - 13. Give l*t(k) + 7*r(k).\nAnswer: k**2 + 4*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 8 - 6. Let s = -4 + y. Suppose -s*i + 36 = i. Calculate the remainder when 16 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3*(-2)\/108)\/((-3)\/(-6)). What is the nearest to 2 in f, 5\/23, -5?\nAnswer: 5\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 1:29 AM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4000 divided by -200\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**3 - 3*q**3 + 2*q**3)*(-4*q**2 + 2*q**2 + 4*q**2) + (-q**4 + 0*q**4 + 2*q**4)*(q + 4*q - q).\nAnswer: 6*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/77, 1\/9, -51?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 181479931 to the nearest integer?\nAnswer: 13471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81, 190, 371, 624?\nAnswer: 949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o - 12 = -39 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q - 3*q + q. Let p(l) be the second derivative of -1\/4*l**4 + 0*l**2 + 1 + 0*l**3 - 18*l. Calculate n(p(k)).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 54*d + 4749. Let q be y(-101). Solve -q*g + g = -4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**2\/11 + 19396*r\/11 - 5834160\/11 = 0. What is r?\nAnswer: -9990, 292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -2*p + 4*u, 0 = 4*p - 6*p - u - 7 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 1, -4857, 2 in ascending order.\nAnswer: -4857, 1, 2, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is d44eda (base 16) in base 13?\nAnswer: 2b62139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9611 times -1756\nAnswer: -16876916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 5*l - 912. Let r = -457 + l. Which is greater: 2\/221 or r?\nAnswer: 2\/221","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/4, 5, 4\/71, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, t: 1, d: 1, g: 1, a: 1}. What is prob of sequence adtg?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5027226.\nAnswer: 2, 3, 71, 11801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*i - 18 = 0. Suppose -15*d - i = -18*d. Suppose 0 = d*b - 0*b - 135. Is b a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 271.1, 406, 3\/8 in decreasing order.\nAnswer: 406, 271.1, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (10 - 5 - 9)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8216239, 32864952, 73946141, 131459806?\n\"Answer: 8216238*j**2 - j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6}. Give prob of sequence ssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -15*x**3 + 3*x. Let y(i) = 6*i**3 - 75*i - 41*i**3 - 101*i**3 + 103*i. Give 28*w(j) - 3*y(j).\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -1\/6*t**3 + 1\/12*t**4 + 0*t**2 - 3 + 5*t. Let o(v) be the first derivative of w(v). What is d in o(d) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1116 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -147\/4 + 21\/2*p - 3\/4*p**2.\nAnswer: -3*(p - 7)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 514 + 40242?\nAnswer: 41200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -413*i + 405*i + 16. Solve 0*g - i*c - 12 = g, 0 = -g + 4*c + 18 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 338*z - 10581. Give t(29).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4247 - 46664\/11. Let r = -771 + 6899\/9. What is the common denominator of r and q?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 3*d - 28 = 0, 7 - 3 = -r + d. Let 5*g**4 - 95\/4*g**3 - 25\/4*g + 115\/4*g**r - 15\/4 = 0. Calculate g.\nAnswer: -1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, s: 12, z: 3, a: 1, x: 2}. What is prob of picking 2 x and 1 v?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 9581960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37 and 531801.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 73, 133, 215, 319, 445, 593?\nAnswer: 763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 139 + -99. Suppose t*v - 4973 - 3947 = 0. What is the remainder when v is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dx when two letters picked without replacement from dxddddqdd?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen tenths of a litre?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of z**7\/9 - 131*z**6\/135 + 43*z**5\/18 - 7*z**4\/18 - 4*z**3\/3 + 614*z - 4. What is q in n(q) = 0?\nAnswer: -1\/3, 0, 4\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94819, -189424, -284029?\nAnswer: -378634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 1 + 3*j - 13.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8959250 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -8*20\/(-8)*(-2)\/(-4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -45?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.8401 to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of b**4\/8 - 2*b**3 + 4*b**2. Let r be p(6). Suppose -12 = 3*u, -2*u + 5*u = -l - r. Solve -2*c - 14 = -l for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -6*c + 6*c - 4*c + 2*c. Let l(i) = 34*i. Let z(u) = 5*l(u) + 80*m(u). Calculate z(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -173 + 168. Sort -0.9, h, 0.9 in decreasing order.\nAnswer: 0.9, -0.9, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 g when two letters picked without replacement from {l: 2, g: 6, n: 4, z: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2363 and 278.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 13*g. Let z be (10 - (-132)\/(-12))\/(3\/(-9)). Let m(u) be the second derivative of 0*u**z + 44*u - 1\/4*u**4 + 0*u**2 + 0. What is s(m(w))?\nAnswer: -39*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -17423 (base 13) to base 14\nAnswer: -123ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2238 = -4*x, 5*x - 10*y = -12*y + 2823. What is the smallest common multiple of x and 81?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4\/3)\/h*h*h*h**(2\/17))\/(h**(-4)\/(h*h**5*h)) assuming h is positive.\nAnswer: h**(550\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000149 rounded to six dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 78324\/1926*15\/(-10)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**2 - 3112*o - 141846 = 0. Calculate o.\nAnswer: -1509, -47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1459638321 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 148609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6210, 4005, 1800, -405, -2610, -4815?\n\"Answer: -2205*k + 8415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p**2 - p**2 + 3*p**2 + (0*p + p + 0*p)*(-2*p + 4 - 4) - 11*p**2 + 17*p**2 - 31 + 357 to a*p + s + y*p**2 and give s.\nAnswer: 326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dwythyttiyh. What is prob of picking 2 h?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -184942668*b**3 - 11*b**2 + 14814776*b.\nAnswer: -1109656008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 3*n**2 - 2*n + 4. Let y = -1 + 5. What is the tens digit of l(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -803, 15, -1\/3, 0.2, -5, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2919438*x + 449116*x - 86973*x - 4 - 231580*x. Let f be q(4). What is f rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 300 and 150.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 93404 and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 525\/(-6) + 8\/16. Let z = -88 - r. Suppose 3*h = -3*v + 7*v - 17, 59 = -5*h - v. What is the nearest to -0.1 in z, h, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((-13 - -1) + 2 - (-7 - -9))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2364149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 727281 is divided by 26801.\nAnswer: 3654","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**3 - 105*m**2 - 51*m - 20. Give b(53).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43.11631944 + -1.11632464. Let s = -42 + k. What is s rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 136 = z, -4*r + z + 387 + 132 = 0. Suppose 0 = -2*n - r - 19. What is the lowest common multiple of 14 and n\/(-9) - ((-6)\/(-18) - 0)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -201, -402, -603, -804?\n\"Answer: -201*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 739*j + 25. Is n(34) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10929 divided by -3?\nAnswer: -3643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 6\/45697?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-4))**(-1\/16)\/(y**(-3)*y*y\/y**1) assuming y is positive.\nAnswer: y**(35\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/88 and 29\/96.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 9978+5\nAnswer: 9983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/15)\/((-2)\/30). Suppose 2 = -n + t*i + 1, 0 = -2*n + i - 2. Let q = 2 - n. Solve 0 = -k - q*s - 14, -3*s + 12 = -2*k - 5*s for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 1 = 2*z. Suppose -z*l + l + 12 = 0. Suppose 2*c - 4*g - l = -0, 5*g = -5. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 58 + 125 - 56 - 7*i**2 + 9*i + 4*i. Let k(c) = -3*c**2 + 6*c + 5. Calculate -13*k(x) + 6*s(x).\nAnswer: 3*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1160 a factor of 42697280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + (-2 - -1))\/(1 + -2). Solve n = -2*o - 6, -2 = 3*o + a for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/3*-3)\/(-15).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 352 and 1140128.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -64, 8, 112, 236, 368, 496?\n\"Answer: -2*x**3 + 28*x**2 + 2*x - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1.06962 days?\nAnswer: 92415.168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(11) - sqrt(539))*1.\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 296, 385, 506, 665, 868?\n\"Answer: c**3 + 10*c**2 + 52*c + 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56607616?\nAnswer: 2, 13, 34019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -4*g. Let c(d) = -637*d. Give c(b(i)).\nAnswer: 2548*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 85*b**3 + 4*b**2 - 5*b + 5. Suppose 4*c - 8*k = -4*k + 16, -5*k - 10 = 0. Is r(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25339598*v**3 - 92285800*v**2.\nAnswer: 152037588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.03931 plus -2?\nAnswer: -0.96069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 greater than 14715?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9136532 at least 9136522?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -20, -4, 14, -5 in increasing order.\nAnswer: -22, -20, -5, -4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 16*v**2. Let k(o) be the third derivative of 0*o + 0 + 15*o**2 + 0*o**4 + 0*o**3 - 1\/60*o**5. Calculate h(k(m)).\nAnswer: 16*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -43 - 82. Let d be ((-4)\/(-15))\/((-30)\/w). Which is the biggest value? (a) 5 (b) d (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 0 - 3. Let z be -5*3\/(-2 - u). Suppose -z*v + 12 = -2*w, -2*v - 3*v = 5*w - 40. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 108.118, 4, -4, 2\/11 in decreasing order.\nAnswer: 108.118, 5, 4, 2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2120733969?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -42 and 6\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1744 - -114955.\nAnswer: 113211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (3 - 19 - -6) - (-5 + 13).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14.9 in 3, -3, -0.8, 2, -45\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0*s - 2 = 0. Let i be 3\/(-6)*-8 - -1. Solve -9 = 3*b + s*f, -15 = i*b - 2*f - 0*f for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 5, 6, 121, 4, 0.\nAnswer: -12, 0, 4, 5, 6, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2, -4*j + 7 = -4*h - 89. Let p = j + -21. Calculate the smallest common multiple of 10 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 + 49. Suppose -2*j + 6 = -d. What is the greatest common divisor of 8 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 25 = 0, 34*s - 29263*m + 29258*m + 433 = 0 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -5*l + 5*w - 7, 5*l = -5*w + 35. What are the prime factors of (-7745)\/(-25) - (l\/(-10))\/2?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7951 + -7951.1. What is the smallest value in 0.5, -1, k, -0.7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1234*a - 72 = 1225*a. Let c(j) = -3*j. Let o be c(1). Let q(g) = -6*g + 6. Let p(u) = -2*u + 2. Give a*p(r) + o*q(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2516, -5083, -7676, -10301, -12964, -15671, -18428, -21241?\nAnswer: -24116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 14*p + 20. Let v be n(15). Suppose 20 + 25 = v*r. Let o(l) = -l**3 - 3*l**2 - 3*l - 1. Let u be o(-2). Solve r = 2*y - u for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 393 is divided by 118.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30058 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/69315 and -31\/45.\nAnswer: 207945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + -468.\nAnswer: -464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-10))\/(1992\/(-6640))*(-5)\/14?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(931) + sqrt(931) + -4 + 3 + sqrt(931) + 2 + (4 + sqrt(931) + 3 + 3)**2.\nAnswer: 161*sqrt(19) + 1032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 35 = -4*f - f, 0 = -s + 2*f + 12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -4 (b) 5 (c) -3130\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 + 6 + 5 + -11?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 8*p + 11)*(-2 - 1 + 1 - 3 - 1 + 2 + (3 - 7 + 3)*(1 - 6 + 3) + 3 + 3 - 4 + 2 - 2 + 1 + 0 + 3 - 1 + 0 + 3 - 1 - 1 - 4 + 4).\nAnswer: 32*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1 - -83899978.\nAnswer: 83899976.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -4*a + 2*k, -a = 2164*k - 2165*k - 7 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13994 + 41*a**2 + 13994.\nAnswer: 41*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 3:42 PM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 c when four letters picked without replacement from {c: 1, l: 2, k: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**2 - 43*a + 166. What is p(-25)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m - 48*m**4 - 23*m**4 + 19 - 51*m**4 + 44*m**2 + 0*m - 48*m**2 wrt m?\nAnswer: -2928*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3*y**3 - 29675*y - 3 + 14825*y + 14850*y.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 538 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does -83543 = -250633\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a micrometer in nanometers?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (13 - 40)*1\/3*2. Find the common denominator of 3\/t*-3*278\/12 and 73\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 157992*m**5 - m**4 - m**3 + 2830721*m**2.\nAnswer: 9479520*m**2 - 24*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 271462 to the power of 1\/2, to the nearest integer?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 - 18*n - 561.\nAnswer: 3*(n - 17)*(n + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -45*t + 228. Calculate h(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 161807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-9))\/(18\/(-4509)). Suppose 5*c - 12 = 13. Suppose s - 57 = c*g. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-2)*0\/((-8)\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -5052600 to the nearest ten thousand.\nAnswer: -5050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1611 + 1614. Solve -4*x + j*x = -3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 193713 - -20?\nAnswer: 193733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -15*n**5 - 102*n**4 - 627*n**3\/5 + 1356*n**2\/5 + 1584*n\/5 - 1728\/5 = 0.\nAnswer: -4, -12\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 9, k: 2, i: 3, j: 4}. What is prob of sequence inj?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 24, 671, 1750, 3261, 5204?\n\"Answer: 216*x**2 - x - 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of 0*r**5 + 1\/3*r**3 + 0*r + 0*r**2 + 0*r**4 - 6 + 1\/2*r**6. What is the third derivative of b(k) wrt k?\nAnswer: 180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 2\/39 (b) 2\/27 (c) 2\/607 (d) -2\/19 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lcl when three letters picked without replacement from {c: 3, l: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 32490 to the nearest one thousand.\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-210)\/(-525))\/(2\/(-70)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17474770*j**3 - 6550*j**2 - 38*j + 7?\nAnswer: -104848620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57273 divided by 7.\nAnswer: 57273\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 6*v**2 + 13*v + 29. Calculate t(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 + 31. Suppose -b + 2*b - 19 = -2*k, -m*b + 47 = 4*k. Calculate the remainder when 31 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 310 = -10*f - 2*z, f + 3*z = 65. Calculate the remainder when f is divided by (35\/(-10))\/((-2)\/12).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-30)\/9)\/((-3)\/(-9)). Let w be 378\/22 + k\/55. Suppose 4*c - w = 23. Solve -b - 2*h = -c, -4*b = b + h - 23 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50706.\nAnswer: 2, 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -u, 4*a - u + 17 = 4*u. Let d = 4 + -3. Put -7, d, a in descending order.\nAnswer: d, a, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*h - 0*h + h. Let l be 6 + h + -3 + (-8)\/(-8). Differentiate -4*j + j + 3*j + 14*j**l - 1 wrt j.\nAnswer: 56*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -436 at most as big as -6993\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3402 rounded to the nearest one hundred?\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 90*g**2 + 113*g - 2122. Calculate x(89).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 109.42 - 48.42. Which is the nearest to -2\/3? (a) -13 (b) h (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -4*v. Suppose -5*j - 25 = -5*k, 8*j - 13*j = -3*k + 25. Put j, 10, -3, v in descending order.\nAnswer: 10, v, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34207*s - 68408*s + 34200*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49855348 is divided by 164539?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-12)*2*3. Find the second derivative of 1 + 1 + 4*x - 2 + 4*x**b wrt x.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -42066 + -5?\nAnswer: -4206b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22860 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -d**5\/60 + d**4\/24 - 5*d**3\/2 - 21*d**2. Let b = 20 + -10. Let i = 10 - b. What is t(i)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 4*b - 5. What is the least common multiple of g(-2) and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(385)*-1 - sqrt(385))\/sqrt(11) + ((sqrt(280)*-1 + sqrt(280) - sqrt(280)) + sqrt(280))\/sqrt(8))\/(4*(sqrt(252) - sqrt(252)*-1)).\nAnswer: -sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 + 5 + 16*j - 15 + 32.\nAnswer: 16*j + 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 123\/41*1\/((-15)\/160)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -89, 296, 15, -1 in increasing order.\nAnswer: -89, -1, 15, 296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 160*r - 3115 + 4794 + 4401 for r.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/4228297 and 11\/207818?\nAnswer: 109935722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*a - 24*a = 170. Let b be 0\/(-2) + -3 + 11. Suppose 4*h = b*h. Solve -2*m - a = 3*p, -2*p = -h*m + m + 11 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 5*s**2 + 51*s + 74. Give h(-8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/9, -1, 0, 0.9311, -73, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67551457 is divided by 33775721?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 75 = 5*d - 181, 5*r = -4*d + 213. What is the least common multiple of 78 and d?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -23680, -47301, -70924, -94549?\n\"Answer: -z**2 - 23618*z - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*s - h - 0, h = 3*s - 3. Calculate the lowest common multiple of s and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 723635 and 16815?\nAnswer: 41247195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (243\/(-8019))\/(((-4)\/(-6))\/2).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 2:09 PM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - g = 2*i + 65, -4*i + 270 = -2*g. Let q be 2754\/54 + (3 - 1)\/(-2). Calculate the highest common divisor of q and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -91, -1, 4734, -4 in ascending order.\nAnswer: -91, -4, -1, 4734","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ko when two letters picked without replacement from kkmommooomnomnmmmo.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*a - 62*a = 2. Factor 30*i**a - 16 - 7*i - 9*i**3 - 83*i + 22*i**2 + 30*i.\nAnswer: -(i - 4)*(i - 2)*(9*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3950581 or 3950516?\nAnswer: 3950581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6526888*l**3 - 1299072*l wrt l?\nAnswer: 39161328*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.3 (b) -14 (c) -4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1503677561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60990?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 6:56 PM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide (9\/(-6))\/(2\/(-340))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 107*l**2 - 208*l**2 + 15 - 48 + 103*l**2.\nAnswer: 2*l**2 - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of 1\/840*y**7 + 0 + 0*y - 1\/480*y**6 + 1\/96*y**4 - 1\/240*y**5 + 0*y**3 + 14*y**2. Find s such that j(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 405 + -420. Let z(l) = -l**3 - 14*l**2 + 15*l + 9. Let q be z(u). Let k be -4 + 2 + 13 + -2. Calculate the highest common divisor of q and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 2:46 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 160 = 4*s, 3*v - 6 = s + 149. List the prime factors of v.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o**13*o)*o*o)\/o*o**(1\/18))\/(o**(6\/7)*o)**(29\/3))**10 assuming o is positive.\nAnswer: o**(-19465\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18616378 rounded to 3 dps?\nAnswer: -0.186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3948\/21593 + 2\/1963. Suppose 10 + 0 = 2*x. Suppose -5*q - w - 2 = 0, -3*w = x*q + 2*w - 10. What is the third biggest value in 0.1, q, j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -25, -3, 0.3, -1, -0.5, -9?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -6*r**2 + 30*r. Let a(l) = -3*l**2 + 85*l - 14. Let v(s) = s**2 - 35*s + 6. Let m(j) = -6*a(j) - 14*v(j). Calculate 7*m(b) + 5*n(b).\nAnswer: -2*b**2 + 10*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 8. Let m be 3 + w + 4 + -2. Which is the second smallest value? (a) m (b) -5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 1:55 AM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302483?\nAnswer: 302483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 3*m - m)*(1 - 3*m - 1) + (-4*m + 3*m - m)*(m + m - m) + 4*m**2 + 3*m - 3*m + 6*m**2 + 4*m**2 - 2*m**2.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -6*y + 183. Let z be b(30). Suppose z*u + 3*m = -m + 1925, -5*u = 2*m - 3185. Does 19 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 3*l - 108, -2*l - 2*l = 3*v - 73. Let g = v - 19. Let x = g + -9. Which is the biggest value? (a) -1 (b) 5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1846537181 to the nearest integer?\nAnswer: 42971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + 3*(5 + sqrt(242) + 0)**2).\nAnswer: -4005 - 1650*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4079 + -3960. What is the highest common divisor of f and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 9:04 PM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 811 + -732. Solve f*v = 74*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of 10*a**3\/3 - 13*a**2\/2 - 29. What is the second derivative of x(s) wrt s?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 754067681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -5 + (14 - (-2 + -3)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a meter in centimeters?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42*o*t*u**2 + o*t + 2*o*u**5 - 16*t*u**2 - 2*t + 800*u wrt u.\nAnswer: -84*o*t + 40*o*u**3 - 32*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -60 - -67. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 106 - 106.0945. Round i to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -41885126\/5 and -8377026 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(7 - (-48)\/(-8)). Factor -2\/5*k + x + 1\/5*k**3 + 1\/5*k**2.\nAnswer: k*(k - 1)*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 - 2*z**2 + 12*z**2)*(2*z + 2*z - 3*z + (2 + 0 - 3)*(-16 + 16 - 8*z)).\nAnswer: 81*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/9 or -721?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (336 + -331)*(44 + 1\/1) and 207.\nAnswer: 5175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of i**6\/120 + i**5\/15 - i**4\/2 + 2*i**3\/3 - 95*i**2 - 2. Determine q(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*o - 15510*o - 7328*o.\nAnswer: -22984*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3145 and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 371*v. Let x(z) = -8*z**2 - 9. Let q(w) = -2*w**2 - 3. Let y(f) = 3*q(f) - x(f). Calculate y(j(b)).\nAnswer: 275282*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 576 in 0.4, -2\/33, 0.78, -4?\nAnswer: 0.78","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*t - 7*b + 3*b, 4*t = -5*b + 13. Let o be (-1)\/t - (-76806)\/12. What is o rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 64, 129, 194, 259, 324, 389?\n\"Answer: 65*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*o + 5*o + 4*o. Solve o*m = -4*y - 2, 8 = 3*y - m + 22 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((g*(g*g**1*g)\/g*g)\/g)\/g)\/g)\/g)**(-19\/4)\/(g*g*g*g*g\/g**(-3\/4)*g**3*g))**10 assuming g is positive.\nAnswer: g**(-195\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1698 to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 5:09 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((4 + sqrt(931) + -1 + sqrt(931))*-4*-5*-2)**2.\nAnswer: 672000*sqrt(19) + 29864000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 594 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 6*w + 16 = 0. Suppose 4*a - 37 = 3*d, -4*a - w = 4*d + 80. Let z(k) = k**2 + 18*k + 44. Is 7 a factor of z(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 2)*(x + x - 4*x + (-4 + 4 - 2*x)*(-2 + 2 - 2) - 9*x - 3 + 3).\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 85725845 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -4*i**3 - i**2 + 1. Let c(a) = 3*a**3 - 2. Let w(f) = -3*c(f) - 2*d(f). Let p be w(3). Let q = 4 + -3.6. Put q, p, -1 in descending order.\nAnswer: q, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.449898 millilitres in litres?\nAnswer: 0.003449898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gaagadsdggs. Give prob of sequence das.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27516503?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v - 5 + 4 + 1. Let k(i) = 2*i**2 + 4 - 7 + 3. Give k(j(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 139966382 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q - 1372 - 68 = 0. What is the greatest common divisor of 5 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 12:07 AM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -264, -1039, -2330, -4137, -6460?\n\"Answer: -258*v**2 - v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 392, 1550, 3480, 6182?\n\"Answer: 386*k**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/15380 and -7\/12.\nAnswer: 46140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2327 and 17.\nAnswer: -39559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -308 in -0.3, 102, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 6*t + 2. Is j(-5) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -4*m**2. Let p be -5*2\/(-50) - 18\/(-10). Let w(n) = -299 - 3*n**p + 299. Determine w(j(x)).\nAnswer: -48*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36 + -29. Let g(u) = 2*u**2 - 5*u - 2. Calculate the remainder when g(y) is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, 13, -21\/5 in ascending order.\nAnswer: -21\/5, -4\/3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(7\/3))**(-49)\/(p\/(p\/p**(-2\/11)))**(-1\/19) assuming p is positive.\nAnswer: p**(-71693\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2955450 and 73200.\nAnswer: 23643600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -17*p + 183. Suppose -3*k + 84 = p*k. Calculate the greatest common divisor of 66 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.25 + 0.45. Which is the third smallest value? (a) -2\/23 (b) -2\/9 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*i**2 - 14*i**3 - 9*i**2 + i**3 + 0*i**3 to the form f*i**2 + l*i**3 + k + a*i and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -6612 greater than -46293\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/567*-13 - (-9)\/21.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -263 - -33?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5699215 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80\/24*5\/50.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/6 - (-126)\/4. Let a = s + -22. Suppose 4*o = a + 6. Solve o + 12 = -4*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*a - 2421 - 129*a + 2421 to the form n + m*a and give m.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 2*c**2 - 9*c - 7. Let r be i(-2). Is r smaller than 81\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -136163, -136193, -136223, -136253, -136283?\nAnswer: -136313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 101\/114 + -20\/19. Which is the nearest to -3? (a) i (b) -9 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 47*y - 188. Calculate the remainder when 253 is divided by t(-52).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 96\/37 (b) -5 (c) 0.4 (d) 2 (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 3*o + 42. Suppose b + 2*u - 14 = -3*u, b = -u + o. Suppose 2*r - y = 59, -r - b*r = -y - 149. Is 30 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/52653664 and 85\/19166.\nAnswer: 1948185568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -20 (b) 290 (c) 0 (d) -0.03 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 + 69773?\nAnswer: 69780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1278 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oox when three letters picked without replacement from pppapoxpppxpppopapxp.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 26\/((-1)\/(6\/8)). Let a = -197\/10 - h. Let u = -629 - -628.9. What is the third smallest value in 4, u, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*g = 10, -d + 4*g + 11 = -0*d. Let v be (-46)\/(-5) + 35\/(-175). Let f be 1\/(3\/(-18) - 3\/v). Put d, -4, f in decreasing order.\nAnswer: d, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/14 - 1166\/2968.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2357561534 to the power of 1\/3, to the nearest integer?\nAnswer: 1331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 39*s**2 - 127*s + 31. Let m be f(42). Let b(j) = j**2 + 10*j + 5. Let o be b(-9). Sort m, 2, 5, o in increasing order.\nAnswer: m, o, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 7:08 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of o**3\/6 + o**2 + o. Let b(a) = -a - 1. Let y be (((-36)\/(-8))\/1)\/(6\/(-8)). What is y*b(g) - 4*v(g)?\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + -14. Let l(n) = n**3 - 5*n**2 - n - 8. What is the smallest common multiple of 2 and l(t)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -472 = -6*g - 184. Let l = g + -31. List the prime factors of l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000012983320663 to 7 decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.6164304g?\nAnswer: 616430400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/(-33)*(-66)\/6)\/(1\/(-3)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -14*o**2 + o - 6. Calculate t(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (413\/2478*(-6)\/4)\/(3\/180)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/6*(-3 - -6). Let t(f) = -f**2 - 4*f. Let o be t(r). Suppose b - 3*z + 10 = -0*z, 4*b - o*z = -8. What is the greatest common divisor of b and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2832*w - 2826*w - 60 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*o**2 + 626*o - 6*o**2 + 1694*o + 2*o**2.\nAnswer: -4*o*(o - 580)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -288.72 (b) -0.5 (c) 67 (d) 5 (e) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 4219511?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -35 - 112?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63\/6 + -11)*(37 + 12 + -15)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c. Let l be -2*1\/(-4)*8. Let h(f) = 4 - f - l. What is 2*h(p) + k(p)?\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139 - 743 = -2*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 0 - 4\/(-3). Let u = 511\/9 - 2564\/45. Put 0, -3\/4, u, l in increasing order.\nAnswer: -3\/4, u, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/27*(-679446)\/(-624). Let q = -3397\/12 + t. Let m = 44\/13 - q. What is the common denominator of -26\/5 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -629 - -1018. Suppose c - z = -77. Suppose g - 429 = -4*a - 0*a, 3*a = -4*g + c. Is 18 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrarrraoo. Give prob of picking 1 a and 1 o.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -26510.2427 rounded to the nearest ten?\nAnswer: -26510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*a**3*h**3 + 36*a**3*h**2*l - 2*a**3*h**2 - 2*a**3*h*l + 139*a*h**3*l - 2*a*h**2 - h**2*l wrt h?\nAnswer: 90*a**3 + 834*a*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 3:04 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 643374907*c**3 - 233886284 wrt c.\nAnswer: 1930124721*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (76\/57)\/(12\/9 - -2).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42.02 + 14.94. Let t = -27 - z. Which is the second smallest value? (a) t (b) 3 (c) -0.3 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xdd when three letters picked without replacement from xddd.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*f**3 + 11*f - 5*f**3 + 5 - 7 in the form l*f + y + n*f**2 + i*f**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3830466 and 82.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 4*o = -32, 4*f + 6 = 5*o + 5. Let n(i) = i**2 - 3*i - 6. Give n(f).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**2 + 8*b. Let w be c(4). Suppose 5*v + 2*v - 1127 = w. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 divided by -2.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10 (b) 0.1 (c) -0.2 (d) 188 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x - 13*x - 2*x)*(-7*x**4 + 67 - 67) + (-2*x**4 + 4*x**4 + 4*x**4)*(4 + x - 4).\nAnswer: 76*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5047 - -8685. What is the thousands digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 2*z + 5, 5*y + 3*z + 5 - 22 = 0. Suppose y = -o + 4. Suppose 0 = -0*n + o*n. Is 1\/6 != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3*c + 410996, -3*c = 3*m - 39276 + 450270. Round c to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 30*x**2 + 315*x - 63. What is the remainder when c(-11) is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from -0.12471515071.\nAnswer: 3.87528484929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - (14 - 14) - (-156)\/53. Which is the fourth smallest value? (a) z (b) -4\/9 (c) 4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242500000 rounded to the nearest 1000000?\nAnswer: 243000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -a**7\/945 - a**6\/270 + a**5\/270 + a**4\/54 - 12*a**2. Find o, given that l(o) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 4:10 AM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 148 divided by -6\nAnswer: -74\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.019640509 rounded to 5 dps?\nAnswer: -0.01964","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 360*d - 22 + 146*d + 4 + 110*d + 112*d.\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of -i**5\/60 + 19*i**4\/24 + i**3\/6 + 13*i**2 + 11*i. Give b(17).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17.9 - 17.807. Let v = -68 + 68.007. Let h = v + y. Is 0.038 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -16 + -4?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 11, z: 1, y: 2}. What is prob of sequence yy?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1362344 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(17) + (2*sqrt(51))\/sqrt(3) + -1 + 4)*1*6)**2.\nAnswer: 1080*sqrt(17) + 6408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = 2*v + 3*y, -2*y + 200 = 16*v - 20*v. Which is the second smallest value? (a) 4 (b) -0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -5 (c) -0.1 (d) 1 (e) -41110.26 (f) 2 (g) 3\/5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14476 - -1418?\nAnswer: 15893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140*j**2 + 23*j**2 - j + j - 20*j**2.\nAnswer: -137*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0 + 4 - 3 + 0 + (2 - 2 + 1)*(0 + 4 - 2) - 2 + 1 + 3 + 3 + 0 - 2)*(2 + 1 - 7)*(1 - 3 + 1)*(x - x - 2*x).\nAnswer: -64*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 277, 450, 583, 676?\nAnswer: 729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 1.957981 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 2*v - 5, 2*v - 1 - 6 = 5*l. Let x be (-3 - (-26)\/12)\/(1710\/7182). Which is the second biggest value? (a) x (b) 2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0013742 to 4 dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 940112.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 8*c. Let y(x) = -11*x**2 - 2*x. Determine z(y(g)).\nAnswer: -88*g**2 - 16*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.514904056 and -43.\nAnswer: -42.485095944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is 5849820 rounded to the nearest 100000?\nAnswer: 5800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -9400 divided by -1880\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -208*i**2 + 242*i**2 + 603*i**2 to z*i**2 + f*i + p and give z.\nAnswer: 637","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a decade in months?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/7)\/(2\/(-7)). Let h = -1.03 - -5.93. Let g = h - 5. Put c, -4, g in increasing order.\nAnswer: -4, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 386192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of 19*x**7\/70 - 95*x**4\/24 - 115*x**2. What is the second derivative of q(c) wrt c?\nAnswer: 684*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 + -24. Suppose 0 = 3*a - 4*g - 48, 5*a - 59 = 2*g + i. Calculate the remainder when a is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -347*y + 1880. List the prime factors of a(-22).\nAnswer: 2, 67, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 101 + -81. What is the highest common divisor of s and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u - 26*u + 1674 = 0. Does 6 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yuc when three letters picked without replacement from {y: 1, c: 1, u: 2, s: 2, b: 1, o: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(4050) - 3*sqrt(4050)))**2 - ((1*sqrt(600) - sqrt(600))\/sqrt(12) + (2*sqrt(450))\/sqrt(9)).\nAnswer: 890*sqrt(2) + 16225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - -1) + (-3 - 5 - -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/12 - (-36)\/(-16). Let l be 4\/(3 - (s + 4)). Let j be l\/22 + (-8)\/44. Solve -2*u = -7*u + 3*w - 5, j = -2*w + 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28196010 divided by -18.\nAnswer: 1566445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 54507 to the power of 1\/2, to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-252))\/(12\/(-42)*-4).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - x + 2*q - 78 = 0, 3*q = x + 80. Let a = -42 - x. Let c = a + -16. Is c a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 10*f**2 + 36*f - 12. Let p(z) = -z**2 - 3*z + 1. Let c(n) = -m(n) - 12*p(n). Let k(i) = 651*i. Give k(c(j)).\nAnswer: 1302*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -420.48 rounded to the nearest integer?\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 1:16 AM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 364610 and 340.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 100114 or 100113?\nAnswer: 100114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -0.5 (b) -3 (c) 34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 114.76 - -0.24. Let x = -115.0000053 + a. Round x to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 10*j**2 - j. Calculate the smallest common multiple of t(-1) and 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of 0*f**4 + 0*f**3 + 0*f**5 + 0*f**2 + 0 + 7*f - 1\/105*f**6. Suppose o(j) = 0. What is j?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26511.6 days to milliseconds.\nAnswer: 2290602240000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1965806 is divided by 115617?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 171 - 170. Suppose 17 = 4*u + 1. Suppose 2*o = u*r - 8, 4*o - 2*r = -o + 4. Calculate the highest common factor of o and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5074 or 3806?\nAnswer: 5074","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270475894?\nAnswer: 2, 13, 2081, 4999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -590014*z + 14. Let b be c(1). What is b rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nrrn when four letters picked without replacement from {r: 10, g: 1, z: 4, n: 5}.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 158.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(112)*2)*2)**2.\nAnswer: 64*sqrt(7) + 1796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19113419813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*1\/3)\/(760\/(-855))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.25 or 1\/36?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 495 + -475. What is the least common multiple of b and 22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 0*r + 5*r - 3*r - r + 3*r + (3*r - 3*r - r)*(1 - 2 + 2) - 4*r - r + 3*r + 3*r - 11 + 11 + 3*r + 0*r - 2*r)*(9 + 56*r**2 - 9).\nAnswer: 112*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 8:12 PM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -18. Let n(u) = -5*u + 3 - 8*u**s + 4 - 7*u**2 + 1. Let d(a) = 7*a**3 + 6*a**2 + 4*a - 7. Suppose -3*y = -2 - 16. What is y*n(i) + 7*d(i)?\nAnswer: i**3 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -2382 - 510. Let f = z + -5009\/7. What is the common denominator of f and 85\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -j**4\/4 + 2*j**3 - 7*j**2\/2 + 4*j + 101. Give h(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.032839759 to five dps.\nAnswer: -0.03284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 1288*x**3 + x**2 - 8*x + 7. What are the prime factors of s(1)?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(32)\/sqrt(4))\/sqrt(4))**2 - (sqrt(2) + (sqrt(2) + -1)**2 + -1).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 3*k - 11 = 0, -2*k + 1 = -4*b - 1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*o + (0 + 0 - 1)*(3 - o - 3) + 1 - 2*o - 1)*(0 - 2*o + 0)*(-2*o + 2*o - o) - 95*o**3 + 205*o**3 + 173*o**3.\nAnswer: 277*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*k**2 + 0*k**2 + 2*k**2)*(0*k + 4*k + 3*k) in the form y*k**2 + a*k + x + h*k**3 and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 16766 (base 8) to base 11\nAnswer: 5843","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -122, -255, -388, -521?\n\"Answer: -133*w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9 + -9)*(-2)\/4. Let z(r) = n + 7*r - 3 - 10*r. Suppose -v - 19*i + 21*i = 12, 0 = v + i - 3. Calculate z(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-14)*-73 + (24 - (11 + 8))?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 5, -4, 0.3, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 8:02 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -7*a**3\/6 - a. Let o(q) = -6*q**2. What is i(o(s))?\nAnswer: 42*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -116.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 7*s - 3. Let v(r) = -2*r**2 - 79*r - 107. Let u be v(-38). Give h(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11010010110010100011011 (base 2) in base 3?\nAnswer: -110222220211212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -103 + 106. Suppose b = u*i - 289, i + b = 3*i - 194. Is 14 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -3. Suppose r - 26 = -4*h. Let c be -4*(-77)\/56 - (-6)\/4. Solve 12*u + h = c*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(1331) + -1 + -2*sqrt(1331) + sqrt(1331) + 5)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*n**5 + 152*n**4 + 336*n**3 + 160*n**2 = 0. Calculate n.\nAnswer: -10, -2, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -0.22 (c) -2.55 (d) -4\/19 (e) -1\/2 (f) 4\/15 (g) -2\/13\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32405 is divided by 491.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 5.356099 minutes?\nAnswer: 321365940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164*z + 3 = 167*z - 48. Solve 2*u - 2*v = 18, -3*u - 5*v - z = 4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 100222641, 200445280, 300667915, 400890546, 501113173, 601335796, 701558415?\nAnswer: 801781030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 + 380. Let l = v - -95. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 15*i + 8. Let o(w) = -6854*w. Give o(c(r)).\nAnswer: -6854*r**2 + 102810*r - 54832","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 690072762 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a - 2. Suppose 132 = -14*t + 34. Give x(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1520*u - 1230*u + 3017*u.\nAnswer: 267*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 5:47 AM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2\/7 + 23*g\/7 + 12.\nAnswer: -(g - 7)*(5*g + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 108, 80, 4, -144, -388, -752?\n\"Answer: -4*g**3 + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from iijjjjjijnmiij.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19804 - 14503. Is 32 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7874 divided by -29?\nAnswer: 7874\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1813070651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 135252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2eb + -3?\nAnswer: 2e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -26*i**3 + 50*i**2 + 16*i + 26. Let c(n) = 5*n**3 - 10*n**2 - 3*n - 5. Give -16*c(j) - 3*v(j).\nAnswer: -2*j**3 + 10*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5\/(-25) - -2)\/((-42)\/(-280)). Let q(p) be the third derivative of -1\/8*p**4 + 0*p + 0 + 11\/6*p**3 - u*p**2. Differentiate q(b) with respect to b.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/30)\/(22\/33*6\/290).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2514458 divided by -5\nAnswer: -2514458\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1912, -1883, -1854, -1825, -1796?\nAnswer: -1767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 475390 divided by 1370\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -542 - 1\nAnswer: -543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2172, -2181, -2212, -2277, -2388, -2557, -2796?\nAnswer: -3117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 5*j + 1. Let p = -21 - -21. Let a(v) = v**3 - v**2 - 2*v + 11. Let c be a(p). Let y(f) = -9*f - 3. Let m(q) = c*u(q) + 6*y(q). What is m(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1888 greater than or equal to 1895?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*m - 0 - 0. Suppose 0 = -2*j + 2*t - 7*t + 10, m = -4*j - 4*t + 8. Sort j, -4, 1 in decreasing order.\nAnswer: 1, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36229141862.1715 minus 0.1?\nAnswer: -36229141862.2715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2036*z + 531*z + 959*z + 545*z + 355*z to p + r*z and give r.\nAnswer: 4426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5290 - -5747. Solve 4*y = 433 - r for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87903*p**3 + 25018*p**3 + 75142*p**3 + 41425*p**3.\nAnswer: 229488*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 11) to base 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 449 - 17*c - 449 + 11*c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-30.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1451502.\nAnswer: 2, 3, 13, 6203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010011001011000 - -100?\nAnswer: 11010011001011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 498 + -486. Is c greater than or equal to 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a centimeter in micrometers?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -98535, -98536, -98537, -98538, -98539, -98540?\n\"Answer: -d - 98534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 8 = c, 0 = a - 5*c + 18. Suppose a*n + 5 - 35 = 0. Let w = n - 7. What is the greatest common divisor of w and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*8 - 6720\/(-800))\/(4\/180).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -22 and 0.2463?\nAnswer: -5.4186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9384.8 rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + d - 9 = 0, 4*d = -5*h - 135 + 121 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -95*o**5 - 3334*o**2 + 1355204*o.\nAnswer: -1900*o**3 - 6668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d**2 + 2*d + 4. Let f(m) = 5*m**2 + 2*m + 1. Let y be f(-1). Suppose -1 = 4*b + 3. Let o(v) = -v**2 + 1. What is b*t(z) + y*o(z)?\nAnswer: -z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -21513 and -0.01?\nAnswer: 21512.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2627244.92 rounded to the nearest ten thousand?\nAnswer: -2630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vcifauf. Give prob of picking 1 i and 1 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + l + 62. Let j be n(0). Find the third derivative of -66*f**2 + j*f**2 - 3*f**6 + 8*f**6 wrt f.\nAnswer: 600*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 3\/102991868 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 13*a**2 - 26*a - 26. Let m be r(15). What is the smallest common multiple of m\/238 + (-278)\/(-14) and 14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 261 + -24?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 86709149.872 take away -2?\nAnswer: 86709151.872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (54\/(-15))\/(3\/10). Suppose 2*x + 172 = -2*x. Let n = c - x. Is n a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o = -7*o + 32 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20485?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 292 + -a1bd3?\nAnswer: -a1941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -27.004 + 9664777\nAnswer: 9664749.996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 832*k**2 + 3331*k + 5. Calculate j(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 5*c**2 + 3. Let d(w) = 3*w**2 + 2. What is 8*d(o) - 5*i(o)?\nAnswer: -o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sbbsssbssbbbsm. Give prob of sequence ms.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**3 + 2*x + 50 + 2*x + x**4 - 9*x**2 - 132*x**2 - 51 - 351*x**2 in the form y*x**3 + l + r*x**4 + w*x**2 + o*x and give w.\nAnswer: -492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 237 - 20. Let b = 97 + h. Does 25 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + -6 + -4 + -35*(-4)\/28. Sort -568, s, 1 in ascending order.\nAnswer: -568, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, f: 1, o: 8, u: 2}. Give prob of picking 1 o and 1 m.\nAnswer: 32\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-8164167\nAnswer: 2449250.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 11 - -3 - 580\/58\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 404, 2, 0, -3 in decreasing order.\nAnswer: 404, 5, 2, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*a + 5*m - 0, -4*m - 8 = 5*a. Let t be (-6 + a)\/(3 + -5). Suppose 19 = l + 4*y, -4*y = -t*l + y + 23. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i + 5. Let r be t(4). Let c(l) = -l + 6. What is the remainder when c(5) is divided by (r\/6)\/3*2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 91*b - 1008 + 2100 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -232900792*p**3*w - 4*p**2*w + p**2 - 6*p*w + 8*p + 835*w + 1 wrt p.\nAnswer: -1397404752*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -179*w - 1026. What is y(-7)?\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -178*d**2*x - d**2 + 1667*d*x - d - 118102666*x wrt d.\nAnswer: -356*d*x - 2*d + 1667*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -106 + 31. Let c(b) = 2*b**3 - 3*b**2. Let o be c(2). Suppose -3*i = 3*x, o*i + 0*x = x + t. Solve 5*h + 2*y = -2*y - 11, -5*y - 23 = -i*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2312320213 (base 4) in base 16?\nAnswer: b6e27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26742 + 36706 = 824*l for l.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 20 = 0, -6*v + 9*v - 3*x = 60. Suppose 85 = -4*n + 453. Calculate the remainder when n is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(864)*-2*-4)\/((5*sqrt(144))\/(sqrt(54)\/sqrt(2))))**2.\nAnswer: 41472\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -346\/9 or -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167 = -26*l - 37. Suppose 13*z - 11*z - l*r - 853 = 0, 4*r - 407 = -z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 369 + 243 = 68*z for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -735 + -143454036\nAnswer: -143454771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -8. Let l be (n\/9)\/(-2*(-3)\/(-12)). Let h = -1.2 + 1. Which is the nearest to -0.1? (a) -1\/4 (b) h (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j. Let o(d) = d + 2. Suppose 11 = 3*t + 17. Let r(u) = t*v(u) - o(u). Calculate r(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-3))\/(-2)*339. Let m(w) = 96 - i - 8*w - 12*w. Let r be m(-2). What is the greatest common factor of r and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-5)\/b**35 assuming b is positive.\nAnswer: b**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -4 (c) -0.1001\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 408552.\nAnswer: 2, 3, 29, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 336415\/298 or 1130?\nAnswer: 336415\/298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + (-4)\/6)\/(8\/96).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 q when two letters picked without replacement from mummmqjmjmwjj?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -248*m**2*o**2 - 3*m**2*o - 107923*m**2 + 91*o**2 wrt o?\nAnswer: -496*m**2*o - 3*m**2 + 182*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, o: 5}. What is prob of picking 2 o and 2 d?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ij when two letters picked without replacement from {g: 4, j: 2, i: 2, t: 5, e: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 7)*(16 - 13 - 11)*(-4*t + 5*t - 4*t).\nAnswer: 72*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 4.586672 tonnes?\nAnswer: 4586672000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of t**3\/2 - t**2\/2 + 2*t + 2. Let p(m) be the first derivative of a(m). What is the first derivative of p(q) wrt q?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qjllqlqllqqjljqllql?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35570 - 35570 - 263*o)*(0*o**3 + 5*o**3 - 3*o**3).\nAnswer: -526*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -53*z. Let f(c) = -1378*c. What is 4*f(x) - 106*r(x)?\nAnswer: 106*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**5 - g**4 + g**2 + g. Let v(h) = -2*h**5 - 26*h**4 - 52*h**3 - 46*h**2 - 14*h. Let c(n) = v(n) - 2*w(n). Let c(a) = 0. What is a?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 559 - 547. Solve -5*r - 13 = u for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 967 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 210*j - 13. Is k(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -108c (base 14) to base 6\nAnswer: -21140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 125931 + -70311. Is f a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5158 times -1.29?\nAnswer: -6653.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d + 14*d - 8 = 0. Suppose d*u = 24 + 4. Does 2 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 - 8 + 19 - 5 - 2.\nAnswer: -x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s - 1. Suppose 44*r - 146 - 155 - 51 = 0. Let p(h) = h - 1. Suppose 0*t - 2*i = 5*t + 25, t + 4*i = -5. Give r*p(j) + t*w(j).\nAnswer: -2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 37*r - 41*r - 103, 5*y = 16*y - r - 211 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 68 = -4*a, 38 = 4*t - t - a. Suppose u = 5*u - t. Let -5*v**u + v**3 + 16*v**2 + 0*v**3 - 16*v = 0. Calculate v.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**2\/(c\/c**6*c))\/(c**5\/(c**(-5)*c*c)))**(-10) assuming c is positive.\nAnswer: c**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/4 + 8 + -5. Let l(k) = k + 1. Let s(a) = a**2 - 3*a - 3. Let d(f) = -2*l(f) - s(f). Calculate d(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3178.7204 + -1126055\nAnswer: -1122876.2796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 23328208 > 23328203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 5 - 3*a**3 - 6*a**3 + 3 to n + s*a**2 + z*a + g*a**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + t - 49 = -27, -5*t + 70 = 5*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1064531 is divided by 84.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122288118.\nAnswer: 2, 3, 31, 137, 4799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 0. Suppose -i*m - 2 = w + 1, -4*w - 5*m = 0. Suppose 2*o - 14 = -w*o. Solve o*h - x = 5, -2*h + 5*x - 3*x = -2 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -67 + 912. Calculate the greatest common factor of d and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68764519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1353 + 8688 - 44 - 1571)*(3*x - 2*x - 3*x)*(-3 - 2 + 4).\nAnswer: 16852*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 3:44 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 181 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -64966 (base 13) in base 8?\nAnswer: -542777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1026 and 73359.\nAnswer: 146718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 1 + 2*o**2 + 204*o + 197*o - 400*o. Determine m(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(12*(-10)\/204). Solve -j*p = -7*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-54)\/12)\/(2\/(-4)). Let g be w - 0\/((-2)\/1). Let n = 14 - g. Is 2 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -71*v**2 + 43*v + 26. Let q(h) = 27*h**2 - 11*h - 3 - 9*h**2 - 5 + 1. Let p(c) = 22*q(c) + 6*t(c). Find the second derivative of p(i) wrt i.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 745*s + 742*s + 47 = 0, 0 = -4*y + 3*s - 59 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 5*a - 31, -4*r + 4*a - 3 - 1 = 0. Let c be r\/12 - 38\/3. Let l = 23 + c. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1894.\nAnswer: 2, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 5)*(3*u - 4*u + 0*u) + (-5*u + 3*u + 0*u)*(-2 - 3 + 7).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004354 rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1018050 to the nearest 10000.\nAnswer: -1020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**5 + 1182*g**4 - 4646*g**3 - 29406*g**2 + 32872*g = 0?\nAnswer: -4, 0, 1, 7, 587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.77*-39640.\nAnswer: -109802.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x - 69. Let d be a(37). Suppose 811 = 2*c + 3*v, -v + 1670 + 351 = d*c. What are the prime factors of c?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -841*g**2 + 3*g + 3420 wrt g?\nAnswer: -1682*g + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 2*y**2 + 0*y)*(y**3 - 3*y**3 + y**3) - 4*y**5 + y**5 + y**5 - y**5 + 0 + 0 + 59*y**5 + 5788*y**2 - 5788*y**2.\nAnswer: 54*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/5*t**2 - 1\/5*t - 1\/5*t**3.\nAnswer: -t*(t + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -357*y**2 + 3*y - 3708906*y**5 + 32*y**2 - 1 + 3702755*y**5 wrt y?\nAnswer: -369060*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 4*g**2 - 23*g + 208. What is the tens digit of k(34)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**0\/c**(-6)*(c**(-1\/4))**42 assuming c is positive.\nAnswer: c**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (736\/(-84))\/(-8) + -1.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + aa?\nAnswer: b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37\/196 + 3\/49. Let y = 0.1 + -0.6. Sort d, y, -2\/7.\nAnswer: y, -2\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**3 - 95*z**2 + 49*z + 59. Let l be g(-48). Solve -o - 9 = -2*a, -5*o - 28 + l = 4*a for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -76513 - -76990.61. Let i = -58.8 - -540.8. Let v = c - i. What is v rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 156374552*a**3*d + 1010*a**3 - 4635*a wrt d?\nAnswer: 156374552*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 - 22. Let g be 40\/z*6\/5. Solve -4 = -g*d + 5 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 1, -104, 0.3, -0.4 in decreasing order.\nAnswer: 1, 0.3, -0.4, -32, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x. Let o be g(-2). Let l be 0 - (o + (-3 - -4)). Let k(w) = 12*w + l*w + 7*w - 9*w. Let t(a) = a. Calculate t(k(f)).\nAnswer: 13*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1797386159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -5*q**4 + 8*q**2 - 2*q - 36. Let w(x) = -11*x**4 + 17*x**2 - 5*x - 72. Let g(j) = 5*c(j) - 2*w(j). Differentiate g(b) wrt b.\nAnswer: -12*b**3 + 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -120236689, -240473381, -360710073?\n\"Answer: -120236692*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -8459*d - 68148. Determine c(-8).\nAnswer: -476","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21025 plus -3?\nAnswer: 21022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 2 = 3*c. Solve -2*m = w - 2 + 1, -4*w + 4*m - c = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 7 - 192*i - 4 - 189*i. Let k be w(4). Let f = 7579\/5 + k. Calculate the common denominator of f and -97\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208)*1 + sqrt(13) + 0 + sqrt(325) - (-2 + sqrt(1573))*-1)**2.\nAnswer: -84*sqrt(13) + 5737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 78340816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**2\/2 + 255042*s - 32523210882 = 0?\nAnswer: 255042","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 25*w**2 + 22*w. Let c(d) = 13*d**2 + 12*d. Let p(k) = 11*c(k) - 6*t(k). Let m(f) = 6*f**2. Determine p(m(i)).\nAnswer: -252*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 13*u + 21. Calculate g(-4).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l - 18. Let u be z(12). Which is greater: 76\/13 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7231 * 0.1\nAnswer: -723.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -13. Solve 0*z + z = 3, d*v - 6 = -2*z for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1256581?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/275*-40 - -6?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l**(-3)*l*l))\/(l*l**(-1)))\/(l\/(l*l\/(l*l**(-1\/2))))**(3\/2))\/((l\/l**(-3\/5)*l)\/((l*(l*l**(-3))\/l)\/l))**(-2) assuming l is positive.\nAnswer: l**(259\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -33. Differentiate -4 + w + 0 + 4*p**4 with respect to p.\nAnswer: 16*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -j**3\/3 - 3*j**2\/2 + 12*j. Let d(x) = -2*x - 4. Determine 2*d(z) - 3*g(z).\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 48 = 4*f - 17, 3*f + 27 = 3*r for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 - 32 + 13 = 15*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0259 to four decimal places.\nAnswer: -0.0259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-4\/9))\/(p**(-2\/11)\/p*p) assuming p is positive.\nAnswer: p**(161\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -13*b**2 - 11*b + 10. Let m be u(7). Let g be 625*-15*m\/6. 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: Express 2 - 2*v**2 - 7*v**4 - 5*v**4 - 4*v**3 - 2*v**4 + 19*v**4 - v in the form j*v**4 + d*v + g + a*v**2 + o*v**3 and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = p + 1. Let l be p - (-3 - (-1 - -5)). Suppose -5*w = 2*v - 136, 0 = 5*w - v - 2*v - 121. Solve -w = 5*u - l for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 36, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 g, and 1 j when three letters picked without replacement from {j: 1, q: 1, g: 1, e: 1, p: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -26*z + 130. Let l be q(5). Is l bigger than 2\/469?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (19*j + 40*j - 13 + 11)*(-j**2 + 4*j**2 - 4*j**2) in the form g*j + b*j**2 + o + v*j**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g + 9. Suppose 3*u + u = 20. Let d be b(u). Suppose 0 = 5*p + 5*l - 315, -11*p + 6*p - l + 335 = 0. What is the highest common divisor of d and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117339042.\nAnswer: 2, 3, 103, 181, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 101010110101011?\nAnswer: 101010110101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3229.\nAnswer: 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((a**3 + 0*a**3 + 0*a**3)*(a - 1 + 1) + 0*a**4 - a**4 - a**4 + 3*a**3 - a**4 - 3*a**3)*(10*a + 15*a - 13*a).\nAnswer: -24*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -1130085.\nAnswer: 4520340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o**2 - 4*o**2 - 4*o**2)*(-4 + 7 - 4)*(-6*o + o - 3*o).\nAnswer: -24*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 2*f**2 - 3*f + 3. Let i be v(3). Suppose -2*u = -p - 73, i*u = -u + 4*p + 144. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -5645*g + 288. Is t(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 646295 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 66161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 37063285 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4337 and 0.7.\nAnswer: 3035.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 v when two letters picked without replacement from pvw.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36367\/6 + -6047. Let h = -17908\/7 + 1898689\/742. Let i = h - 5\/2862. Calculate the common denominator of l and i.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -13222300?\nAnswer: -13222302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 4*q + 3*f, q = -5*f. What is the remainder when 1 - (q + -2)*41*1 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.8 - 0.8. Let l = 1.1 - 1.5. Sort w, l, 1.\nAnswer: l, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(200))\/((sqrt(484) - sqrt(484)*-3) + sqrt(4)).\nAnswer: 10*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a**2\/3 - 108*a = 0.\nAnswer: 0, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.5 + 0.3. Let a = n + -4.8. Let s = a + 15. Is 0.1 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v - 237 - 30*v**4 + 390 - 149 - 2*v**3 to the form b*v**3 + z*v + r + m*v**2 + o*v**4 and give o.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.06 - 0.14. Let n = -0.095 - g. Round n to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 38 + 0*r + 12*r - 4 + r - 10*r as y*r + z and give z.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z + 15*z = 27*z - 5*y - 38, 3*z - y = 3*y + 25 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 1280 = -3*m. Does 32 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 24*o**2 + 8*o + 5. Let d(i) = 12*i**2 + 3*i + 2. Determine 5*d(z) - 2*g(z).\nAnswer: 12*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9871179121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 197965.8 and -0.4?\nAnswer: -79186.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -31. Suppose 3*s + d = 9*s. Put 0, s, 4 in descending order.\nAnswer: 4, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -69 divided by -81\nAnswer: 23\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11402, 11406, 11414, 11426?\nAnswer: 11442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, 0.4, -0.724, 3, -1, -1.91?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3143 and 19705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*t - 758 = 3730. Calculate the lowest common multiple of 627 and t.\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.8 + -2.8. Let l = 113 + -117. Which is the third biggest value? (a) l (b) m (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + -14 + (-7 - -5 - -9 - -13).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**4 + 0*w**4 - 5*w**4)*(w - 4*w + 4*w) - 2*w**5 - 3*w**2 - 6*w**2 - 6*w**2.\nAnswer: -3*w**5 - 15*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 14 = -12*j + 15*j, 5*q = 2*j - 13. Suppose 3*t - j*y = -6*y + 786, -y + 783 = 3*t. Is t a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5268, -5340, -5412, -5484?\n\"Answer: -72*l - 5196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2070 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 13*s. Let u be q(10). Let p = -20 - u. Does 10 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwssswuushuwshwwswws. What is prob of picking 3 u?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 7:36 PM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g + 4 - 4 + (-g - 4*g + 4*g)*(2 + 2 - 6) + 0*g + 5*g - 3*g + 105*g - 232*g - 178*g.\nAnswer: -298*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 5*c**2 + 762195*c + 99000850 = 0.\nAnswer: -152309, -130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 12 = -k. Let z be k + -5*(-4)\/(-8). Suppose -2*t - 18 = -8*t. What is the nearest to 2\/7 in -1, t, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*i + 3*i + 2*i)*(6 - 1 - 3) + 2*i - 3*i - i + (21*i - 363 + 363)*(0 + 1 - 2) + i - i - 2*i)*(-i - 4*i + 3*i).\nAnswer: 42*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -40, -95, -204, -403, -728, -1215, -1900?\n\"Answer: -6*a**3 + 9*a**2 - 40*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(136) - sqrt(136)*1))\/(sqrt(40)\/sqrt(80))*-2*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33661486?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**18*q*q*q**(-8)*(q**2\/q)**(5\/13) assuming q is positive.\nAnswer: q**(161\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 58754.74 millennia in centuries?\nAnswer: 587547.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4751 is divided by 1047.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 3*p**2 - 2*p. Let k be b(2). Suppose 7*a = 3*a - k. Calculate the remainder when 16 is divided by (9\/a)\/((-4)\/16).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*h**3*q - 12*h**2*q**3 - h**2*q - 18*q**3 - 16 wrt h?\nAnswer: 6*h**2*q - 24*h*q**3 - 2*h*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 8*p**2 + 7*p + 10. Let k be r(7). Suppose -5*q - 8 = 2*b, 0 = 2*q + 3*b - 3 + 15. Solve 5*v - k = 5*j, v + 3*j - 2*j = q for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 32*i**2 - 908*i + 130. Calculate f(18).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-13) - ((-8)\/(-624)*3)\/(132\/(-216))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -5, -373, 16 in descending order.\nAnswer: 16, 3, 1, -5, -373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + 5. Let z be (-48128)\/10065 + (j\/25)\/4. Let d = z - -139\/61. What is the common denominator of -121\/42 and d?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9d3a0 (base 16) to base 9.\nAnswer: -1181355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4590.78424 + -4591. Let i = 0.211 + x. Round i to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 4, -921, -3, -58.\nAnswer: -921, -58, -25, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0313 - -0.0312904. Round x to six dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -0.3 (c) 21\/2 (d) 7 (e) 3442 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -195102 divided by -10839?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101000111010 + 11101010100?\nAnswer: 10000110001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 1, 3, 5, 7?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 70 and 69 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6532 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 r(x) = -x + 1. Suppose -2*w + 5*w + 30 = 0. Let v(l) = l**3 - 3*l**2 + 7*l - 5. Let g(d) = w*r(d) - 2*v(d). Suppose g(f) = 0. What is f?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 + 7 = 4*g. Let y be (-2)\/9 - (-110)\/g. Let j = y - 71\/6. Which is the closest to 0? (a) -4\/3 (b) -3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 71 + -71.01. Which is the closest to 4\/11? (a) 1 (b) 0.4 (c) -2 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 5*v**2 - 11499997. Let f(b) = 4*b**2 - 11499998. Let c(q) = -3*f(q) + 2*u(q). Let t be c(0). Round t to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-396))\/(((-34)\/(-51))\/((-8)\/(-18))).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*18*(-4)\/(-16). Let w(d) = -7*d**2 + 7*d - 2. Let u(b) = 3*b**2 - 3*b + 1. What is a*u(y) + 4*w(y)?\nAnswer: -y**2 + y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 - 28*q**3 + q**2 - 163*q + 4*q**3.\nAnswer: -24*q**3 - q**2 - 163*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 10 and -1811.\nAnswer: -1801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3087773 divided by 6877\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 714878*k**3 - 199*k**2 - k - 93.\nAnswer: 4289268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2892*x - 8873. Give t(4).\nAnswer: 2695","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3\/5 + 7398597*y**2\/5 - 4561606829997*y\/5 + 4561599431403\/5.\nAnswer: -3*(y - 1233099)**2*(y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 17*j**2 + 5*j + 101. Let y be c(-17). Suppose y*b = 11*b + 18735. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 997.4 + -997. What is the third biggest value in -1\/8, -5, y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.210301595 rounded to 3 dps?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -74*x + 15*x + 62 - 65. What is the tens digit of m(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*k - 5*b, -24 = -4*k + 4*b + 8. Suppose -5*y + 17 = -k. Solve 3*q = -0*q - 4*a + 17, 3*a + 9 = y*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -279 + 440?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b**3 + 139320*b**2 - 1167505920*b + 2586420633600 = 0.\nAnswer: 3480, 12192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 12*a**2 + 5*a - 50. Let r be q(-10). What is the highest common divisor of 410 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 280540, 1122158, 2524850, 4488610, 7013432, 10099310, 13746238, 17954210?\n\"Answer: -w**3 + 280543*w**2 - 4*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41.2 - -41. What is the biggest value in 1, 5\/3, -4, n?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0.5 (b) 1\/3 (c) -0.34 (d) 0.039\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121021120212210220 - 11?\nAnswer: 121021120212210202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 49*i**2 + 70*i - 510. What is the ten thousands digit of p(44)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 5*o**2 + 5*o + 5. Let z be f(6). Is -1 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1086 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + -1)\/(5\/(4 + -14)). Suppose 0 = -w*n + 11*n + 133. What is the third smallest value in 0.2, 0.1, n?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 6*o**3 - 2*o**2 - 7. Let x(j) = -7*j**3 + 2*j**2 + 8. Determine -5*k(f) - 4*x(f).\nAnswer: -2*f**3 + 2*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -z**5\/12 + z**2. Let y(a) = -a + 4. Let s be y(2). Let j(o) = 0*o**2 + 301 - 301 - 3*o**s. Calculate b(j(p)).\nAnswer: -45*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 - ((-278)\/(-4))\/(22\/(-264)). Calculate the highest common factor of 20 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173447035?\nAnswer: 5, 167, 207721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 38 and 12.\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1470 is divided by 706?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.08117 years to millennia.\nAnswer: 0.03508117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-24)*(-1124)\/(-1405)*-1*5. Let x = 0.02 - -1.98. Which is the fourth smallest value? (a) r (b) x (c) 1\/9 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 128, 363, 796, 1493?\nAnswer: 2520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.3 (b) 2318 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -10*s + 16. Suppose -s*r - r = 0. What is the closest to 0.1 in 2, 1\/4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of q**6\/360 - 3*q**5\/40 - q**4\/24 - 173*q**3\/6 + 243*q. Let i(n) be the second derivative of w(n). Determine i(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-78)\/(-325)*(-135)\/54?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 u, and 1 p when four letters picked without replacement from {j: 5, p: 1, u: 5}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.055, -0.06, -0.5, -5 in descending order.\nAnswer: 0.055, -0.06, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 604 = -10. What is the lowest common multiple of n and 12?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, h: 5}. What is prob of picking 1 k and 3 h?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 + 8 + (-3)\/3. Suppose 0 = j - 3*r - a, -j = j + r + 8. What is the smallest value in -0.26, j, -0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 14*u**2 + 2*u - 7. Let z be n(15). Let d = -197 - z. Let w(v) = 0 + 4 - 3*v + 3 - v. What is w(d)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 152 + -22. What are the prime factors of w?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14935 at most as big as 14935?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**2)\/(y**15*y) assuming y is positive.\nAnswer: y**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 + -32. Find the third derivative of 18*h**6 - 8*h**2 - 6*h**c + 17*h**2 - 2*h**6 wrt h.\nAnswer: 1920*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 1410*l**2. Let r(h) = -6*h + 12. Calculate b(r(k)).\nAnswer: 50760*k**2 - 203040*k + 203040","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -88 + 34 - (26 - 37)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 144*w - 141*w - 212, 204 = 4*k + w. Solve 3*a = -8*a + k*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30.5 + -2.1. Round l to zero dps.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100 (base 2) to base 4.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/251 - 748\/1255. What is the second smallest value in -2, t, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b - 2*b + 14 = 0. Let j be (b - -3) + -1 + -2. Sort -1, -5, j in descending order.\nAnswer: j, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, 0.5, -1264, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (51\/(-6) - -1)*24\/(-36). Solve 2*x = -h - 4, 3*h + x = h - r for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*y = 31*y + 4*r + 19, 4*r = -3*y - 23 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7279*z + 7*z**2 - 2 + 14553*z - 7274*z.\nAnswer: 7*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.5 + -1.8. Let t be (-1)\/(36\/(-20) + 2). Which is the smallest value? (a) -4 (b) d (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 2*f - 4 = 0. Suppose 34*m + 8 = 36*m. Differentiate m*v**f + 0 + 2 - 4*v**2 - 2*v**2 with respect to v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**4 + 36*y**3 + 104*y**2 + 96*y = 0. Calculate y.\nAnswer: -4, -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.8 - -9.1. What is the nearest to -2\/13 in 0.2, 0, 3\/4, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 235887 - -1719212. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 38 and -715999433056.\nAnswer: -715999433018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -5)\/8 + 17225\/106. Solve -d*j - 24 = -157*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + s + 2*s**3)*(-s**2 - 3*s**2 + 5*s**2) - s**5 - 2*s**5 + 0*s**5 + (-4*s**5 + 4*s**5 + 2*s**5)*(-2 + 2 - 1).\nAnswer: -3*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 40 = -4*h + 7*h for h.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 134*g**2 + g - 97. What are the prime factors of x(-6)?\nAnswer: 4721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-73 - 35) + (-98 - -149)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 4*f - 1. Let u be s(-8). Suppose 2*d = d + u. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 15 + 2*j + 1 - 3 + 8. Let p be g(-10). Let a be 5 - p - (4 + (0 - 0)). Solve 4*b + 0*b = a for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27131 + 5209055\/192. Let z = m + 11\/64. Put 37, -0.4, -2, z in decreasing order.\nAnswer: 37, z, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + 1 + 46665\/7686)*-1?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.2107607 to 2 decimal places.\nAnswer: -1.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 k when three letters picked without replacement from {w: 4, k: 15}.\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 5*o - 7. Calculate h(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-3)\/1)*15*5*(-28)\/1050?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 6*d**2 - 6*d + 2. Let b be y(4). Find the common denominator of (-6)\/b*(-498)\/(-54) and 155\/204.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 16 - (-45 + -44 + 48)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -633 divided by -3\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/45880 and -53\/232.\nAnswer: 1330520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*b**3*l**5 - 7*b**3*l**2 - 15*b**3*l - 7*b**3 + 2*b**2 + 2219840*l**6 - 4*l**2 - 10*l wrt l.\nAnswer: 300*b**3*l**2 + 266380800*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6146492?\nAnswer: 2, 11, 29, 4817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -w**2\/2 + 1. Suppose -2*u + 3 = -3*b + 2, -3*u + 4*b + 2 = 0. Let x(s) = u*s + s - s. Determine x(g(a)).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16456105 to the nearest integer?\nAnswer: 4057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 21*b**2 + 21*b + 10. What is z(-22)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27\/10? (a) -15 (b) -225 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -121 (base 5) to base 15\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -13a5 (base 16) in base 14?\nAnswer: -1b93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 5*j**2 + 4*j + 3. Let d be u(4). Let g(m) = -47 + d*m + 52 + 22. List the prime factors of g(13).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 21193, -5 in decreasing order.\nAnswer: 21193, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 674 (base 13) to base 14.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -28*q + 531. Let g be t(12). Solve 2*d - 201 = -g for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 65\/8 - (-3)\/(-24) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7176 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 65\/2 + -33. Which is the third smallest value? (a) -1 (b) -2\/9 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*c**2 + 72*c**2 - 5*c**3 + 3*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2263852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*c - 117*c - 3*c + 1520 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0*p = 2*i - 3665, -4*i + 2*p + 7350 = 0. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ab when two letters picked without replacement from mbbbbtibqibmbtmba.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5828901 to the nearest integer?\nAnswer: 2414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 57, 137, 275, 489, 797?\nAnswer: 1217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 335891769?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 80, 2, 0, 3 in descending order.\nAnswer: 80, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -88631 * -2.08.\nAnswer: 184352.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19265 or -54?\nAnswer: 19265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**2 + 2*p**2 - 4*p**2 + (-3*p + 5*p + 0*p)*(2*p - 2*p + 5*p) - p**2 + 2 - 2.\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 326 + -324. Suppose 27 = m*s - 13. What is the smallest common multiple of 4 and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 4*b**2. Let t(l) = -37463*l. What is q(t(f))?\nAnswer: 5613905476*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 1307\/254?\nAnswer: 1307\/254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 54028781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -286*m - 67 wrt m?\nAnswer: -286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -47 + 23 + 20 + 20 - 2*k**2 + 3*k. Let c be d(6). Let u = c + 48. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 6*y**2 - 5*y + 4. What is the remainder when d(-3) is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 49.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 s when four letters picked without replacement from wscszssecwsscwec?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(567)*1*-3 - (2 + 2 + sqrt(175)).\nAnswer: -32*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4*l = -4*x + 8, 4*l = 4*x - 24. Suppose 6*h = 2*h + x. Let o(q) = q**2 + 7. Let n be o(0). Solve n - 1 = -h*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*u - 11*u + a - 11, 4 = u + 2*a. Suppose -5*b + 15 = 3*z, -11 + u = -3*b - 2*z. Solve b*i = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29930\/(-98769)*9\/(-5)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 5*w**2 - 5*w - 7. Let f = -3 + 10. Let o(m) = -2*m**2 + 3*m + 3. Let s(k) = f*o(k) + 3*j(k). Let y = 0 - 5. Determine s(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208)\/sqrt(4)*-5 + sqrt(52))*-1 + 3.\nAnswer: 3 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-46102)\/26936 + 12\/26)*2\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7391642 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 74 or 78?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1866, 105\/8, -0.4, 50?\nAnswer: 105\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 2\/5 (b) 110 (c) -9345\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27010 (base 15) in base 10?\nAnswer: 124890","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + (12 + -3 + -17 - 5) - (4 - -93)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -200.9 + 201. Let z = 2.2 - 0.2. Which is greater: c or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3136.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*h - 8*h - 7*h)*(-3*h + h + h) + (3*h - 4 + 4)*(0 + 2*h + 0) + 3*h - 2*h**2 - 3*h - 1 + h**2 + 1 as s*h**2 + n*h + l and give s.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1984 - 51 = 20*m - 347. Solve 59*q + m = 40*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8266*r - 8249*r = 51 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -54*s + 1848. What is d(48)?\nAnswer: -744","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3563, -7088, -10613, -14138, -17663, -21188?\n\"Answer: -3525*i - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -61 - -68. Solve -3*b - 1 = 5*y - d, 5*y - 3 = -4*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 2:16 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 121560?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**2)**(1\/8)\/(b*b*b*b**(-2\/3)\/b*b)**(2\/5) assuming b is positive.\nAnswer: b**(-41\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 9*l**3 + 2*l**2 - 2*l - 4. Give j(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-22) + -1)\/(2632\/(-14476))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**3\/13 - 21382*a**2\/13 - 64380*a = 0. Calculate a.\nAnswer: -39, 0, 10730","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4938822 and 8379?\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3 + (sqrt(5) + -5 + sqrt(20)\/sqrt(4))*5*5 + 4.\nAnswer: -116 + 50*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 18249 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 14.075007ns?\nAnswer: 0.00000000023458345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 10*k**3 - k. Let u be v(-1). Let x be (-2 - u - 2) + -3. Suppose -4*p + 8 + 12 = 0. Solve -2 = 4*b - 5*n, x*n = -p*b - 0*n - 19 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18.3599189 - 18.36. What is j rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 5*f**2 - 3*f - 4. Suppose 0 = -2*n + 2 + 4. What is the units digit of g(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4 + 3 = 0. Suppose z + j = -3. Let p(n) = -n**3 + 2*n + 1. Is p(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 4*x = -65 + 86, -3*x + 8 = 4*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16315 divided by -1756.\nAnswer: 16315\/1756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -137, -105, -61, -5, 63?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 527810 by 263905.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*h - 16935 = 0, 5*q - 7*h + 12*h - 28225 = 0. What is the hundreds digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -223? (a) 1\/844 (b) 11 (c) 1\/5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -17, -4, -2, 1, 633 in increasing order.\nAnswer: -17, -4, -2, -1, 1, 633","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/(-6))\/((1 - 0) + -2). Let r be (0 - -1) + 15\/(-12). What is the closest to -1\/3 in r, -2, i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 2*u. Let k be g(3). Suppose -m + 12 = k*m. Let t(r) = -2*r**2 - m*r - 3*r + 6*r. Let y(h) = -2*h. What is t(y(o))?\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 80435136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -668*h**2 - 3344*h + 5. Suppose 4*k - 3*k = -4*r, 4*r - 3*k = 16. Calculate the remainder when 93 + r + -1 + 3 is divided by t(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 303 - 180. Suppose -g - 77 = -5*l. Is 40 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddddxd. Give prob of sequence dx.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 12:37 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 to the power of 1\/2, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 d, and 1 p when three letters picked without replacement from iddlilidplplip?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 4*v + 9166, -s + 3066 = 90*v - 86*v. What is the remainder when s is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h - 7*h + 0*h)*(4 - 5 + 6)*(22 + 11 - 10) to the form i + m*h and give m.\nAnswer: -690","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 - -29. Let i(y) be the second derivative of 0*y**d + 1\/15*y**6 + 0*y**2 + 1\/6*y**4 + y + 0*y**3 + 0. What is the third derivative of i(p) wrt p?\nAnswer: 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3013545, -6027088, -9040631, -12054174, -15067717?\n\"Answer: -3013543*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-820)\/(-287) + 24\/(-28). Put -3, 195, -2, a in increasing order.\nAnswer: -3, -2, a, 195","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.256 - 2.256. Which is the third smallest value? (a) s (b) 0 (c) 0.048 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*m**2 + 11*m**2 + 1 - 3*m**3.\nAnswer: -3*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6435 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20*v**4 + 14*v**2 - 14*v**2 - 43*v**4 + 227*v + 25*v**4 - 634 wrt v?\nAnswer: 8*v**3 + 227","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 5*q**2 + 11*q - 10. Let m be a(5). What is the greatest common factor of m and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 3. Let v(k) = k**3 - k**2 - k - 5. Let t(c) = c + 5. Let a be t(-5). Let r be v(a). Sort -3, n, r in increasing order.\nAnswer: r, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 9*o. Suppose k + o = -1. What is the second smallest value in 3\/8, 4, k?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one tenth of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29798887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -65 + 67. Suppose x*z + 2*t - 248 = 0, 0*z - 5*t + 362 = 3*z. Let p = z - 42. Calculate the remainder when p is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(((-200)\/28)\/25*2)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 15*c**2 - 2*c + 10. Give o(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and -2.074.\nAnswer: -1.674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -6*p**3 + 31*p**2 - 28*p - 58. Is o(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4624891203 to the power of 1\/5, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 6*n - 3. Let a be t(-7). Suppose -a*w = -2*w. Suppose -2*k - 4*q = 2*k - 36, -k + 4*q + 34 = w. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 5*d**2 - 13*d + 20. Let u be b(12). Let m = -478 + u. What is the remainder when m is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + (sqrt(6)\/sqrt(2))**2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 11:44 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1542\/11 - 140. Let j = -1087 - -1086. Which is the third smallest value? (a) z (b) j (c) 5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -80905 and 0.051.\nAnswer: -80904.949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from 137752.\nAnswer: 137752.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o*o**(1\/7)*o*o))\/o)\/o*o**(-1\/4)*o)\/((o\/(o*((o**(-5)\/o)\/o)\/o))\/o**(-2\/15)) assuming o is positive.\nAnswer: o**(-5261\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 401*c**2 + 16*c - 17. Let z be y(1). Suppose -4*q + z = 2*d, -4*d - q + 311 + 468 = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -20. Suppose 3*j - 2*l + 4316565 = -2583429, -d*j = 4*l + 4600012. What is j rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 - 57 = -4*u. Let x(l) be the third derivative of 0*l**3 + 0 + 0*l - 1\/30*l**6 + 5*l**2 + 1\/30*l**u + 0*l**4. Find the third derivative of x(k) wrt k.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/113 or -10814.6?\nAnswer: -2\/113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41.16773 litres to millilitres.\nAnswer: 41167.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 d when two letters picked without replacement from cadsrrdrsrmd?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -46 and -10770.\nAnswer: -10816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) - -2*sqrt(832))**2*-5 - (sqrt(832) + sqrt(832) + (1*sqrt(832)*4)**2).\nAnswer: -50752 - 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 433811*d**2 + 24*d + 5277 wrt d?\nAnswer: 867622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (70\/15)\/((-77)\/(-198)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) + (0 + sqrt(1088))*1)**2 + -2 + 0 + sqrt(1088).\nAnswer: 8*sqrt(17) + 4350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8.3 and 0.23.\nAnswer: -1.909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-10)\/(-3)) + 186\/(-465)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*q + 2*q**4 + 494 + q**2 - 542*q + 19*q**3 - 493 - 18*q**3 to i + h*q + c*q**2 + w*q**3 + x*q**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 4*a**2 - 1. What is the tens digit of u(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -26085903 and -17.\nAnswer: 443460351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 198061680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6728036 + -79.\nAnswer: -6728115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 4:07 PM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*f**4 + 2785*f**3 - 26327*f**2 - 29*f.\nAnswer: 456*f + 16710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 6*r**2 - 3*r - 13. Let m be q(-6). Suppose u + 4*w = -19 + 1, -5*w = -m*u + 10. Is -24\/23 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + sqrt(325) + -3 + sqrt(325)*-3 + -2)**2.\nAnswer: 600*sqrt(13) + 6680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*o + 1 = -35, 0 = 4*s - 3*o - 37. What is the greatest common divisor of s and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 22*a**3 - a**2 - a. Let h(c) = 2*c**3 - 5*c**2 + 4*c + 1. Let q be h(2). Suppose 6*r = r - 2*d + 3, q*r + d + 1 = 0. Calculate g(r).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4004*r**3 - 11469*r**3 + 1873*r**3 - 4726*r**2 wrt r.\nAnswer: -33552","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 20*m + 4. Let r be l(-10). Find the common denominator of (-12)\/18 + (-377)\/60 - -3 and 4\/(r\/(-380)) - 1.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 518 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: Calculate 36 - (18 - (-21 + -14) - 23).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 9*w - 17*w. Suppose 0 = s - w*f + 2 - 33, 3*s = -3*f + 138. Round s to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221221121110202 + 0?\nAnswer: -221221121110202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-476)\/(-408)*(-6)\/(-56)*4.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of m**5\/20 + m**3\/2 + 72*m**2 + 285*m. Differentiate o(b) with respect to b.\nAnswer: 3*b**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = 4*u - 5*w, 0 = -978*u + 975*u - 5*w + 3 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4.1471304945 and -3.2?\nAnswer: 0.9471304945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -5*b**2 - 4*b - 1. Give r(-3).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243*b + 15 = -240*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*z - 148*z - 145*z + 439*z + 18*z**3.\nAnswer: 18*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -b**6\/120 - b**4\/6 + 3*b**2\/2 - 4. Let a(w) be the second derivative of y(w). Find the second derivative of a(n) wrt n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 - 42 = 773*s - 771*s + t, 25*s + 2*t = -283 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.33 - 2.93. What is the fourth biggest value in 24, -2\/15, 0.1, k?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 + -46. Put -5, 0, t in decreasing order.\nAnswer: t, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (94*k**3 - 2815*k**2 + 2815*k**2)*(-19*k + 2 + 6*k + 6*k).\nAnswer: -658*k**4 + 188*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 0 + 4 + (sqrt(245)*1)**2 + -4.\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 1. Let f be -1 + -2 - c - -1. Let i be 4 + (-3)\/(5 + f). Solve -3*q + 9 + i = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 58*f**2 - 10845*f - 161. What is a(187)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218446680.\nAnswer: 2, 3, 5, 1820389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, 1434\/11, -0.02, 7\/2, 0, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) + -1*(sqrt(119) - sqrt(119)*1) - sqrt(119) - (-3*3*sqrt(119) - sqrt(119)))\/(-1*sqrt(28)\/sqrt(4) - sqrt(14)\/(2*sqrt(2) - sqrt(2))))**2.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t - 166 + 176 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 + 0.1. Let j = 0.009 - 1.009. Which is the second biggest value? (a) j (b) 3\/8 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.45 + 0.05. Let t = 9 - 5. What is the smallest value in -3, c, t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-6)*((-4)\/38 - (-43 + (-59555)\/(-817)))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2710.\nAnswer: 2, 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence za when two letters picked without replacement from {y: 1, o: 1, z: 4, a: 1, w: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -823 + 1379. Let i = q - 169. Let b = 607 - i. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39.72 - 44. Round f to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/7)*o)\/((o**1*o)\/o)*(((((o*o**(-2\/11)\/o)\/o*o)\/o)\/o)\/o)\/(o*o*o**2) assuming o is positive.\nAnswer: o**(-520\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of 0*c - 8\/15*c**3 - 208 + 1\/5*c**4 + 4\/25*c**5 + 0*c**2. Determine w, given that n(w) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 27438?\nAnswer: 27438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3d0 (base 15) to base 16.\nAnswer: -366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3*-32887\nAnswer: -98661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4*3*(3 + (-4*sqrt(175) + -4)*-1)**2*-4.\nAnswer: 13440*sqrt(7) + 136750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*s**3 + 2*s - 4*s**3 - 8*s wrt s?\nAnswer: 54*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 129 - 126. What is the closest to x in 0, -3, -1, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34316 is divided by 6860.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(684) + 1 + sqrt(684) + (sqrt(684) + 0 + sqrt(684) + -4)**2 + (2*(sqrt(684) - (1 + sqrt(684)))*1)**2.\nAnswer: -84*sqrt(19) + 2759","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 7*c**2 + 7*c - 3. Suppose 0 = 13*g - 8*g - m + 1909, -m = 3*g + 1147. Let a = g - -374. Give j(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + (1 - 17))\/(-2). Suppose j + p = 7, j + 4*p = 6*j - c. Suppose -a + 17 = -4*x - 23, j*x = 0. What is the remainder when a is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10\/10323 - -13774\/10323. Solve 0*z - o + 4\/3*z**2 = 0 for z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 11:21 AM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -14962203 divided by 14\nAnswer: -14962203\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005948869509 to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 338038327 and 245846056.\nAnswer: 2704306616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 7*z**2 + z + 1. What is the units digit of m(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 11:01 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -27, -1\/4, -98, -6, -90, 0?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away 0.371?\nAnswer: -0.671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4896.48 millimeters in kilometers?\nAnswer: 0.00489648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10195 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13686557173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -42*t**2 + 2446*t - 594. Calculate q(58).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*g - 27. What is the greatest common divisor of 20 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 17, a: 3}. Give prob of sequence ll.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 11. Suppose -2*t = -j*t + 5. Is 4 a factor of (-2)\/5 + 22\/t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -407526541?\nAnswer: -407526541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 4:53 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**2 - 41*n + 40 = 0. What is n?\nAnswer: 1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 6*v - 4. Let u(s) = 17*s - 11. Let r(j) = 8*o(j) - 3*u(j). Let g(y) = y. Determine 5*g(i) + r(i).\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -537*d - 684 = -15720 for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23669 is divided by 796?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -7*4\/(4\/(-7))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 * 1.1.\nAnswer: 9.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**5 - 1604*a**3 - 1008*a wrt a.\nAnswer: -20*a**3 - 9624*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 12531 = 7*c - 2*c, -2*j = 6. Is 1 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (3 + 2 + (sqrt(2916) - (sqrt(2916) + sqrt(2916) + sqrt(2916)*6))\/(sqrt(1200)*1))**2*-5.\nAnswer: -14327\/20 + 315*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-1*sqrt(143) - sqrt(143)) + -6*sqrt(143)*-2)\/(sqrt(132)\/(sqrt(2160)\/sqrt(5))).\nAnswer: 42*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**2\/i**(4\/9)*(i**(2\/7))**9 assuming i is positive.\nAnswer: i**(260\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 326390 and 2627630.\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304)\/(sqrt(40)\/sqrt(5)))\/(sqrt(288)*-2) - (4 + ((sqrt(931) - (sqrt(931) + 0))**2 + 0 - (-4 + sqrt(931)*-2)**2)).\nAnswer: 2687*sqrt(19)\/24 + 3736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of y**4\/12 - y**3 - 5*y**2\/2 + 11*y. Let x be a(7). Find b, given that -2\/5*b**x - 2\/5*b + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.001 and 745007.\nAnswer: -745.007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-371)\/1272*(-3)\/7. What is the nearest to -49.9 in -1, 0.1, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 151*c**2*d**3*r - 281*c**2*d*r + 15*c**2*r - 3563*c*d**3*r**2 - 6*c*d**2*r**2 + 5*d**2*r**2 wrt d?\nAnswer: 906*c**2*r - 21378*c*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 25049, 25051, 25055, 25061, 25069, 25079?\n\"Answer: g**2 - g + 25049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11334271 (base 8) in base 4?\nAnswer: -21123202321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a millennium in decades?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*d - 29 + 6 = 0, -3*d = 2*m - 9. Suppose 170 = -4*i + m*i. Does 7 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 14. Let p(r) = -x*r - 1 + 1. Let t(s) = -6*s**2 + 12*s + 8. Let c(h) = 17*h**2 - 33*h - 22. Let n(j) = -4*c(j) - 11*t(j). What is p(n(v))?\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 139*m**2*o**3 + 6762*m**2*o + 11*m*o**2 - 5*m + 4*o**3 wrt o?\nAnswer: 834*m**2*o + 22*m + 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.602974 to 2 dps.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46067, -63419, -80771, -98123?\nAnswer: -115475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (272\/(-3264))\/(32\/(-2688))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**2 + 3*i + 2. Let h be q(-2). Let b be 14\/h - (-9)\/(-18). Suppose -b*s + 2*s = -4. Solve 0 = -s*z + 18 - 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(220\/(-16)))\/((-1)\/5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 9, e: 2, t: 1, y: 6}. Give prob of picking 2 y.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 962.345 centimeters in millimeters?\nAnswer: 9623.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 53525 (base 6) in base 13?\nAnswer: 3446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 120111 (base 5) to base 15\nAnswer: 148b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**5\/3 + 93*z**4 - 8238*z**3 + 686606*z**2\/3 + 482825*z + 245625 = 0.\nAnswer: -1, 75, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(-14\/3)\/o*o*o**(-2) assuming o is positive.\nAnswer: o**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 89.7 + -89.3. Suppose 3*p - 16 = -p. Let v be (-1 + p)*(-2)\/(-6). Which is the biggest value? (a) -1\/7 (b) v (c) f (d) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -370 + 1890?\nAnswer: 1520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 49\/318?\nAnswer: 49\/318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 10:09 PM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -127379 (b) 4 (c) -1\/7 (d) 1 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5787*g + 5715*g = 1512 for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-2) + (4 - -3). Let c = 14 - f. Suppose -4*d - d - t + 35 = 0, c*t - 1 = 4*d. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7480406 is divided by 2732.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2020323 is divided by 224478?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 396*t - 407*t. Suppose -3 - 22 = -5*q. Suppose -4*k + 2 = 5*f, -k - 12 = -q*f - t. Solve 2*d - f - 2 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2164285 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 304, 224, 114, -26?\n\"Answer: -15*h**2 - 35*h + 354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 1c?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a (base 12) in base 15?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 122442086?\nAnswer: 612210430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**2 - 5*i - 3. Let q(t) = t**3 + t**2 + t + 1. Give d(j) + 2*q(j).\nAnswer: 2*j**3 - 3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1fe9b (base 16) to base 3\nAnswer: 20122022022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*t + 23*t - 15*t.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 61056 divided by -192\nAnswer: -318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 4*i + 640, 4*i - 357 = -2*h - 23. Calculate the remainder when 590 is divided by h.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c + 8. Let w = 14 - 8. Let l be m(w). Let n be ((-2)\/4)\/(l\/16). Solve -4 = -2*s - n for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -28*u**2 + 22*u + 1. Let f(x) = 59*x**2 - 48*x - 2. Let a(n) = -6*f(n) - 13*w(n). What is a(-2)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 23, 43, 87, 173, 319?\n\"Answer: 3*w**3 - 6*w**2 + 17*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) -1 (c) 3 (d) 0.109 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5*y**2 - y. Let m be f(1). Suppose l + 2*n = m*l, 0 = -2*l - 5*n. Is -2 > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12760 and 3960?\nAnswer: 114840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*o + 9*o**2 - 3*o**2 + o**2 wrt o?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 4*j**2 - 3*j - 6. Let h be g(5). Let v = -217\/936 - -1\/104. Which is the biggest value? (a) -3 (b) v (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/c**(-2))*c)**19)**(-6)\/((c**2\/c)\/(c\/(c\/(c\/(c**(3\/2)\/c*c)))*c)*c*c\/c**(-2\/15)*(c*c*c*c**2*c)\/c) assuming c is positive.\nAnswer: c**(3191\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -12*b + 273. Let v be q(22). Calculate the greatest common factor of 9 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y**4 + 0*y**4 + 2*y**4)*((4*y - 3*y + 3*y)*(1 + 1 - 1) - y - 5*y + 4*y).\nAnswer: -8*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -134 * 44194.7.\nAnswer: -5922089.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -81, -126, -169, -210, -249, -286, -321?\n\"Answer: l**2 - 48*l - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**3\/6 + 83*d**2 - 85388*d\/3 - 1752768 = 0. Calculate d.\nAnswer: -716, -54, 272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22\/11*5\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 595840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1505328090 to the nearest one million.\nAnswer: -1505000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 63 = -o + 2*o, z - 209 = -3*o. Calculate the remainder when o is divided by (1 - 2)\/((-17 - -9)\/112).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 12:35 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 2316880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1008 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - h**2 + h + 2. Let l be y(2). Let b = l + -5. Is 17 a factor of 50\/b + 3\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 793 + 14\/3 + 10\/(-15). Suppose -h + 38 = -f. List the prime factors of h.\nAnswer: 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3422225 bigger than -3422225?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**2 + m**4 - 2*m**2 - m**3 + 0*m**4 + 3*m in the form j*m**3 + n + v*m + k*m**4 + d*m**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 2*b + 6, b - 6 = -3*k - b. Suppose -3*r + 30 = -k*r. Let p be (-2)\/(((-1)\/30)\/1). What is the greatest common divisor of r and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 - 12. Let d = 13 - u. Suppose -6 = -d*i + 12. Sort i, 4, 3 in descending order.\nAnswer: i, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 70671585, 141343107, 212014615, 282686103, 353357565, 424028995, 494700387, 565371735?\n\"Answer: -q**3 - q**2 + 70671532*q + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**4 + o**4 + 2*o**4 + (-1 + 1 - o**3)*(3 - 3 - o).\nAnswer: 3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d - 3, 5*f + 2*d + 35 = 33 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54619.\nAnswer: 193, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 + 28. Solve w*u = -0*u - 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237 - 418 + 129 + u.\nAnswer: u - 526","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7 + 4)\/55*-15. Sort -286, 3, i in increasing order.\nAnswer: -286, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o - 4. Let t = 15 - 21. Let d be k(t). Solve 4*a - d = 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 n when two letters picked without replacement from nuzuzpg.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1236 is divided by 139.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of -g**8\/336 - g**7\/70 + g**6\/30 - 10*g**2. Factor j(l).\nAnswer: -l**3*(l - 1)*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1121778*l**2 + 2*l**3 + 1121778*l**2 + 99*l.\nAnswer: 2*l**3 + 99*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 + 3 - -10) + 36 + -19?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 + 17 - 22)*(0*k + 0*k + 2*k)*(25*k + 113 - 113).\nAnswer: -1300*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = 103*v - 122*v. Let w(a) be the first derivative of -2\/3*a**3 - 1\/4*a**6 + 1\/4*a**4 + 0*a + 2\/5*a**v + 1\/4*a**2 + 6. Determine i so that w(i) = 0.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21 in -3, 115, -2\/11, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 4.8. Which is the biggest value? (a) g (b) -0.3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -958 + 959. Suppose -u + 41 = u - 3*o, -4*o - 12 = 0. Let r = 21 - u. Put 4, -23, j, r in decreasing order.\nAnswer: r, 4, j, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-10)\/4)\/((-3)\/12) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 55885746608329*l**3\/3 + 111771538070720*l**2\/3 + 29902711*l + 6.\nAnswer: (l + 2)*(7475677*l + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 2480?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35.46 + 6.64. Let c = 42 - l. Do 1 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14608?\nAnswer: 2, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of o**4\/24 - 4*o**3\/3 - 19*o**2. Let p(g) = 5*g - 33. Let r(m) = 2*p(m) - 9*t(m). Calculate r(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 78\/30 - 24\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 2*z + 5*j = 0, -z = -5*j - 30 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 150*j + 37*j - 616 + 4*j**2 - 43*j + 1912.\nAnswer: 4*(j + 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -293.7 - -294. Let j = 0.7 + 2.3. What is the third biggest value in -3, s, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7816?\nAnswer: 2, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-130*v**2 - 61*v**3 + 130*v**2)*(2 - 2 + 2*v)*(0 + v + 0) - 121*v**4 + 121*v**4 - 28*v**5.\nAnswer: -150*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/9*(-63)\/966?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 176 divide 31224470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 73998*f. Let b(u) = -u. Determine r(b(t)).\nAnswer: -73998*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11835 and 765?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 644440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4215409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -9*z. Let m(l) be the second derivative of 35*l**4\/12 - l**3\/6 + 649*l. What is t(m(f))?\nAnswer: -315*f**2 + 9*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46 + 115 + 78 + 73 - 312 + 10*i.\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/5 + 1 - (-609)\/(-315)*3. Let w(r) = 5*r + 15. Let k(p) = -4*p - 14. Determine y*w(x) - 7*k(x).\nAnswer: -2*x + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 + 271596*o + 543208.\nAnswer: -4*(o - 67901)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and 14558775?\nAnswer: 14558774.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 214.6 * -290\nAnswer: -62234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -u + 2914 + 563, g - 3465 = 5*u. Let v = g - 2468. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 14*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*d**3 + 179*d?\nAnswer: 78*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -10 - 1) + (-18)\/10.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-2\/15)*x)\/x)\/x**16)**32 assuming x is positive.\nAnswer: x**(-7744\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5484 and 174?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.11987 millilitres in litres?\nAnswer: 0.09211987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 q when three letters picked without replacement from urraarqraa?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -433*o**3\/3 + 25*o**2\/2 + 5*o + 155. Find the second derivative of h(f) wrt f.\nAnswer: -866","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -37. Let d = n - 26. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p + 5. What is j(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79845.49 nanograms to tonnes.\nAnswer: 0.00000000007984549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11415922591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 400.6631mg?\nAnswer: 0.4006631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 10*f - 2. Let z be -2 - -12 - (5 + -2). What is the tens digit of y(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 11 = -32 - 19 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g - 2*d - 34, -10*d = 3*g + 10*d - 28*d + 6*d - 38 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -714 + 726 + (4 - 26).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - 19.5. Let l = 4.446 - 0.046. Let y = -4 + l. What is the second biggest value in r, y, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**5\/5 - 107*x**4\/5 + 2807*x**3\/5 + 3023*x**2\/5 - 2808*x\/5 - 2916\/5 = 0. What is x?\nAnswer: -1, 1, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4160295 and 270.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*q = -10. Suppose -h = -14 - q. Let d(c) = c**2 + 53*c + 364. Let l be d(-8). Solve -l*p - h = -r, 0 = p - 4*p + r - 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100103000 + -10?\nAnswer: -100103010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-12)*3)\/((-207)\/(-69)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6263490 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**2 + 485*c - 112913. Calculate p(-388).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -33*y**3 - 798*y**2 - 2223*y - 378 = 0?\nAnswer: -21, -3, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - f - 5. Let g be a(0). Put 13, g, 5 in decreasing order.\nAnswer: 13, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18733 is divided by 50.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 47 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-624)\/28*(-5355)\/135. What is the greatest common factor of l and 1564?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a minute in milliseconds?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2412 and 312957?\nAnswer: 1251828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*k + 61613 = -86843. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 4*t + 219, 0 = 2*h + t + 160 - 570. Let r = h - 133. Does 7 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2929231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -170.00000577 + 170. What is t rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*320.\nAnswer: -1600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3001078?\nAnswer: 2, 17, 61, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -4*l - 2*f + 138, -l + 36 = -2*f. Suppose 5*p - 5*g - 170 = 0, p - 3*g = l + 2. List the prime factors of p.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 673519549 a multiple of 4459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*1\/(-8)*14. Put -4, a, 0, -0.1 in ascending order.\nAnswer: -4, a, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y*y**3)*y**(-1\/3)*(y\/((y*y\/(y\/(y*y*y**(4\/3))))\/y*y)*y)\/y**(-1\/5))**40)**(1\/4) assuming y is positive.\nAnswer: y**(-194\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18631, 37238, 55779, 74260, 92687, 111066, 129403, 147704?\nAnswer: 165975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1863 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -140 divided by 6.\nAnswer: -70\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -50\/9 + 256\/45. Let x be 4 - (-12)\/(-6) - (-3)\/(-1). What is the closest to x in -1, z, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6295 - 3160. Is x a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -281 + 4775\/17. Which is the second smallest value? (a) -2\/15 (b) -6 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d8 (base 15) to base 6.\nAnswer: -1552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/2 - (3 - 2). What are the prime factors of (-1 + 2)*q - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.21 + -7.79. Let s = 4 + h. Let u = s - -5. Which is the second smallest value? (a) 2\/7 (b) u (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -1 - (3 + (-3 - -12))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6\/2315 - 136729\/55560. Let k = 14\/927 - 322\/103. What is the common denominator of k and x?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7378)\/22320 + (-2)\/45.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*i - 3*i - 9*i + 15*i.\nAnswer: 22*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4 + 112*u**3 - 200*u**2 - 864*u.\nAnswer: -2*u*(u - 54)*(u - 4)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1158200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 4 = -3*o + 3*v, o = -v + 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 2 + 16 + (4 - 5 + 0)*(1 + 2 - 1) + 3 + 1 - 3)*(-3 + 4 + 2 - q) as r + c*q and give r.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((2\/(-3))\/(-2))\/((-11)\/(-66)). Let g be (2 - (18\/x)\/(-3)) + -2. Solve g*b - 3*t = -9, 3*b = -4*t - 3 + 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.09 - 0.31. Let z = f + -0.4. Let y = 2.2 - z. What is the biggest value in y, -0.5, 0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -388 + 803 - 415 + 829*x**2.\nAnswer: 829*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.393 and 67?\nAnswer: 26.331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**2. Let v(a) = -220050*a**2. What is b(v(h))?\nAnswer: 96844005000*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 25083261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -i - 2*j, 4*i + 99 = 3*j + 70 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 24.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 63.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 21 - 6. Suppose -s*g + c + 18 = 0, 2*g - 5*c - 1 + 3 = 0. Factor b + g*b**3 - 8*b**3 + 2*b**2 - 2 + b**3 + 2*b**3.\nAnswer: -(b - 2)*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -98*((-45)\/10 - -4). Suppose -f - 2*w + 0 = -l, 0 = w. Suppose t + 5 = -4*t, -2*d + 5*t + f = 0. What is the greatest common divisor of d and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.878368961 - -7.8409693. Let y = w + 0.0374. What is y rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.015702 rounded to three dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 + 27. Suppose 6 = -6*z + b*z. Let q be z\/9*6\/4. Is q >= -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 420221189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 83*j + 4377. Give r(-44).\nAnswer: 725","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -824*c - 835. Let k be u(-1). Let z(d) = d**3 + 13*d**2 + 27*d + 49. Determine z(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w. Let t be y(-2). Suppose 6*d - t = 4*d + 2*o, 13 = 3*d + 2*o. Let j be 0*3\/(-36)*d. Solve j = 3*h, 0*h - 1 = g - h for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 10 = 3*g. Let o = 9.8 + -11. Let j = -1 - o. Which is the third biggest value? (a) -0.3 (b) j (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 122 + -2. Is s a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -822040 divided by 10.\nAnswer: -82204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -601 - -662. Calculate the remainder when w is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 6*g + 10*g = 22, 2*t = -5*g + 11 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4 = -3*u. Which is the nearest to -1\/4? (a) u (b) 2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18\/(-3)*48\/18 - -5. What is the common denominator of (71\/(-36))\/((-1)\/(-3)) and (s\/16)\/(138\/(-184))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.41 - 0.01. Let s = -0.6 - j. Let u = 2.8 - 3. Which is the nearest to 2? (a) 0 (b) s (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r - 2. Let j be u(-7). Let k be (-8 + 4)\/(1*-2). Let p be 2*((-9)\/(-2) - k). Solve -j*c + 16 = b, 0 = c - 2*c - p*b - 16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*i + 4 + 10, 4*z = 0. Suppose 5 = -6*a + i*a, -4*a + 26 = 3*k. Calculate the highest common divisor of k and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 862 times 161.2?\nAnswer: 138954.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 3*l + 52, -5*i = 3*l - 120 - 86. Suppose -d = 11 - i. Let a(f) = -50*f - 9. Calculate the remainder when a(-4) is divided by d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 2*i - 1 = -0*i, 19*i - 98 = q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1403, -5610, -12623, -22442, -35067, -50498, -68735?\n\"Answer: -1403*f**2 + 2*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 14 = -4*j + 29, -3*h + 2*j + 9 = 0. Suppose -2*q = 4*p - 12 + 2, h*p - q + 5 = 0. Factor p*c + 3\/8*c**4 + 3\/2*c**2 + 0 - 3\/2*c**3.\nAnswer: 3*c**2*(c - 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15625 by 2.\nAnswer: -15625\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13909 (base 10) to base 14.\nAnswer: -50d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 72345 divided by 159\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -15acb (base 15) to base 14\nAnswer: -1b6bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-42)\/27)\/7)\/((-2)\/18)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 12*j + 379. Let v be 6 - (-42)\/(-9)*j\/(-18). Put -4, -5, -3, v in ascending order.\nAnswer: -5, -4, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p + 13. What is z(-13)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1060, -1051, -1028, -985, -916, -815, -676, -493?\n\"Answer: a**3 + a**2 - a - 1061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (34 - 36) + (6 - 11)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -971825, -971851, -971853, -971819, -971737, -971595, -971381?\n\"Answer: 2*w**3 - 40*w - 971787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k = -888 - 2340. Let a = -252 - k. Solve a - 2 = 3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -66 + 24 + 22 - 2*d + 20. Let i(v) = -63*v**2 + 35. Let c(u) = 7*u**2 - 4. Let x(a) = -35*c(a) - 4*i(a). What is o(x(r))?\nAnswer: -14*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -1 + (1 + -5 - (-61 + 62))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -t - 10, 2*t - 3445 = -3*z. What are the prime factors of z?\nAnswer: 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2896900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 - 4*q + 24.\nAnswer: -4*(q - 2)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9080 divided by -2270.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6663399\/91 - -73227. Let l = -48\/13 + r. Is l at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 2, c: 1, q: 1, m: 5}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-2)*(-8 + 10). Find the common denominator of (u\/(-6))\/((-6)\/(-23)) and -101\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49472643.\nAnswer: 3, 11, 113, 13267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -13. Let y(k) = k**2 + k + 3. Let w be y(r). What is the second derivative of 0*c - c - 4*c**2 + w - 3 wrt c?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2827923, 5655851, 8483779, 11311707?\nAnswer: 14139635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 10:35 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 937, 965, 1017, 1093, 1193?\n\"Answer: 12*j**2 - 8*j + 933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z**1)**(21\/5))**(-42))**33)**16 assuming z is positive.\nAnswer: z**(-465696\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004463 rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 1 = 3*x - 0*x, 3*x = -5*w + 11 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiqqqiiqiiiqi. What is prob of sequence ii?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2095.196 meters to centimeters.\nAnswer: 209519.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 30.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 4*q**2 - 2*q. Let k be b(3). Let w be (6\/51)\/(42\/714). Suppose k*c - 5*p = 136, -w*c - 2*p = -68 + 4. Does 2 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1239*d*f**2 + 2*d*f + 1573*d + 124*f**2 + 8084*f - 6 with respect to d.\nAnswer: 1239*f**2 + 2*f + 1573","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -40 + 35 - k + 2*k**4 - 4*k**4 in the form v + y*k**3 + s*k**4 + c*k + b*k**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*v = 61*v - 891. Let c be -2 + 6\/v*(0 + -63). Solve 0 = -2*k - 4, -2*w + 2*k = -0*w - c for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51 + 31.5. Let z = 19 + v. Let b = z + 0.9. Put -1\/9, b, -2 in descending order.\nAnswer: b, -1\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnn. What is prob of picking 2 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 127462211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154914?\nAnswer: 2, 3, 25819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/13 + 114798*n**2\/13 - 14547088*n\/13.\nAnswer: -2*n*(n - 57272)*(n - 127)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*d - 80 = 0, 21 + 25 = w + 3*d. Suppose -33*y - 1624 = -w*y. Is 14 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out -144221689 + -0.39.\nAnswer: -144221689.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1029 divide 522678492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 27 = a, -3*a - 3*f = -0*f - 45. Solve 2 - a = 2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 5*y**3 - 17*y**2 - 2*y + 349. Determine s(6).\nAnswer: 805","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/3408 and 39\/236.\nAnswer: 201072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -204 - -511. Let c = 611 - x. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324091013.\nAnswer: 83, 683, 5717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1153427 and 1551?\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-40)\/18 - (60\/(-27))\/10. Let i be (-2)\/7 + (-318)\/14 + x. Does 20 divide ((-30)\/i)\/((-6)\/(-340))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 820246 by -2.\nAnswer: -410123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 238859 > 238866?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 31 = -34. Let o = 38 - 13. Calculate the remainder when o is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -29*w**8\/7 - w**7\/42 - w**4\/12 + 735*w**2\/2 - 7*w - 34. What is the third derivative of b(c) wrt c?\nAnswer: -27840*c**3 - 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 8 + -1 + 0 + -3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65687.\nAnswer: 65687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x = -15*x + 10. Calculate the remainder when 16 is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 274 + -268. Solve q*y = -3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10773*a = -5403*a - 5385*a + 1980 for a.\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16549?\nAnswer: 13, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 439*d - 81*d - 16*d + 13*d + 320*d.\nAnswer: 675*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8070 times -0.07?\nAnswer: -564.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 1745177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 b, and 1 n when three letters picked without replacement from pffnzbb.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 159*f + 1592. Let c be l(-10). Let r be (-24)\/(-28)*7\/1. Suppose 0 = -o + r*o - 20. Solve 9 = -2*i + o*j + 3, -3*j = -c*i - 7 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 450701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132877426?\nAnswer: 2, 11, 6039883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 y when four letters picked without replacement from upuppyuppppppppp?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4*c**2 + 2*c - 54. Calculate the least common multiple of 10 and i(5).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2*s - 3*s + 13 = 0, -2*s = -3*x - 16. Which is smaller: x or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -119*k**2. Let j(o) = 3*o**2. Give j(p(a)).\nAnswer: 42483*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**4 - w + w + (4*w**2 - 4*w**2 - 3*w**4)*(-1 + 3 + 0).\nAnswer: -8*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 4 + 8. Find r such that -2*r**2 - 10*r**3 + 82*r**3 + 3*r**2 - 325*r**2 - 4*r**g = 0.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*v = 217*v + 723*v - 5231 - 3249 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert d (base 16) to base 10.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 take away 820?\nAnswer: -827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 71253307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 6*l + 2*l)*(0*l**3 - 3*l**3 + l**2 + 7*l**3) + (-28*l**3 - l + 20*l**2 - 20*l**2)*(-7*l + 6*l + 12*l).\nAnswer: -312*l**4 - l**3 - 11*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - -1 - (209 - 214).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 7*x = 0. Suppose x*w = 3*w. Suppose -4*q + 9*q = w. Put q, -4, -5 in descending order.\nAnswer: q, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 37\/2 of a microgram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 19 = 4*x - 17, 4*k = 2*x + 36. Let s be (k\/(-7) - -1)*-7. Solve -3*h + 25 = s*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1956 + 50.04\nAnswer: 2006.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -85, 33, -4, -20 in ascending order.\nAnswer: -85, -20, -4, 4, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 82026084 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.35505962 - -5667404\nAnswer: 5667403.64494038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-2 + -2 + -3*(sqrt(19) + (sqrt(76)*-3)\/sqrt(4)))*5)**2.\nAnswer: -1200*sqrt(19) + 17496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from skxrres. What is prob of sequence xrk?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2323*r - 4013 - 633 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 0 = -4. Suppose -w + 2*b - 26 = 3*w, 4*b = 4*w + 32. Is y <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*r - 88 = 76. Let i(a) = 2*a**2 + 7*a + 7. What is i(r)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(10\/9))\/(o*o*o**(1\/12)*o*o) assuming o is positive.\nAnswer: o**(-35\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 o when two letters picked without replacement from ncnollaro?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5*2\/(-4)*66758\/(-145) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161504 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-112)\/(-21) + 2*-2.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 - 29. Let q(z) be the first derivative of 384*z**3 - 6 + 10*z**2 - 5*z - a - 394*z**3 + 5*z**4 - z**5. Solve q(v) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**3 - 4*a + 4. Let j be r(2). Suppose -x = 3*w - j, -40 = -5*w + 7*x - 2*x. Solve -4*p = 5*c + 5, w*p + c = -1 - 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 5. Let w(z) be the second derivative of 0 + 0*z**3 + 3*z + 0*z**o - 1\/5*z**5 + z**2. Differentiate w(g) wrt g.\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 336367640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71 + 3.01.\nAnswer: 74.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 65*p - 313. Determine v(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -5*j + 3. Let x be m(9). Let f(u) = u**2 - 9*u + 9. Let g be f(13). Let h = g + x. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157014165 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1565 + 83274*f**4 - 216 - 81220*f**4 wrt f.\nAnswer: 8216*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 4) in base 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -i - 4*g, 5*i + g + 137 - 51 - 53 = 50 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -522351, -1044700, -1567049, -2089398?\nAnswer: -2611747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-1)\/7*-7 + (-1 - -10)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44114 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (379*d - 81*d + 359*d)*(1 + 2 - 2).\nAnswer: 657*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42086 and 286?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -389, -677, -863, -947, -929?\nAnswer: -809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 40 + s + 18*s**2 + 56 - 27 - 46*s**2 with respect to s.\nAnswer: -56*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - a + 0*a = 10, 3*p = a + 8. Let t(k) = 0 + 5 - 4 + k + k**p. What is t(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*s**3 - 6*s**3 + 34*s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 77 - 157 + 3*q + 76 in the form o*q + m and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12165*j**6 + 3*j**3*k + j**3 + 4*j**2*k - 382*j*k - k wrt j?\nAnswer: -1459800*j**3 + 18*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**2 - 8*t + 3. Let d be j(-4). Suppose -d*w = 5*n - 460, w = -3*n - 4*w + 276. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 64372467 to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 12*i - 22. Let m be o(-9). Let c be (-3)\/((-2)\/2) + 1. Is m not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(750) + 1*sqrt(750))*1)\/(sqrt(54)\/(sqrt(9) - sqrt(441)*-1)) + -1.\nAnswer: -1 + 80*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1072, -528, -36, 404, 792?\nAnswer: 1128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209*s + 100 = -199*s for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**1)**(-6\/11)\/(k**7*(k\/(k*k*k**(1\/2)))\/k))**6 assuming k is positive.\nAnswer: k**(-405\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 58359.67 and 2?\nAnswer: 116719.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.07 - 0.27. Let q = -25\/46 + 1\/23. What is the nearest to d in q, 1\/3, 1\/6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2885 (base 13) to base 10\nAnswer: -5855","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 40*w**2 + w + 44. Let o be f(-40). Suppose -4*i = -o*m, -3*m + 1 = -i - 5. Calculate the highest common factor of m and 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 11, -3, 2, 7, 4 in increasing order.\nAnswer: -4, -3, 2, 4, 7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*12\/(-8) - -8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 273 - 271. What is the third biggest value in 0.3, o, 1.8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/152*2\/4.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -2*r - 0*j + 275, 2*j = 3*r - 411. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 = 5*l + 14*q - 364, 24*l - 211 = 20*l + q for l.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 77*d**2 + 74*d + 612. Calculate the remainder when r(-76) is divided by 48.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423.443ng in milligrams?\nAnswer: 0.000423443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 96, 190, 282, 372, 460, 546, 630?\n\"Answer: -t**2 + 97*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3027749505?\nAnswer: 3, 5, 11, 18349997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 2:12 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-112073)\/(-12116)*12\/1?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/5 + 37*u - 25484\/5.\nAnswer: (u - 92)*(u + 277)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1495 - 415 = -8*x. Is -1337\/10 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, c: 5}. Give prob of picking 2 m.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 a when three letters picked without replacement from aahuauauhua.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -6*q + 176. Suppose u = -0*a + 3*a + q, a = 0. Suppose 0 = -75*l + 274 + 533 + 1593. What is the least common multiple of u and l?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 7:31 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -142975*b**6 - 2*b**2 - 3743*b + 2?\nAnswer: -17157000*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9*(1 + (-3 - -1)). Let q be 1\/(-2)*r\/(-45). What is the third biggest value in -1\/9, q, 0?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -33*k + 258. Let i be u(7). Solve -3*f + i = -3*z, z + 4*z + 15 = -f for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 1 in descending order.\nAnswer: 5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 57353 to the power of 1\/2, to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.102 in 1\/3, -5, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 120110112122222 (base 3) in base 14?\nAnswer: 113d11c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -4*n + 3*z, -n - 2*z + 14 = -0*z. Let g be (n\/(-3) - -4) + (-482)\/(-714). Let p = 352\/595 + g. What is the third smallest value in -0.5, p, 0.11?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -16*b**3 + 3*b**2 - 1. Suppose -32 = -6*x + x + j, 5*x = -2*j + 26. Suppose -7 = v - x. List the prime factors of r(v).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162*f**3 - 1487*f**2 + 1482*f**2 - 158*f**3.\nAnswer: 4*f**3 - 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126*-0.008.\nAnswer: -1.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 7*d - 62. Let s be n(-6). What is the greatest common divisor of 160 and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61 + (-27 - 4 - (-242 - -214))\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11489*u + 233928 + 306055 for u.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + c = -15, -6*c + 15 = -11*c for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 15*o - 8. Let u be r(7). Suppose -5*a + u - 7 = 0. Is a a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4 + 8639*o**3 + 1310850*o**2 + 65792500*o + 1098625000.\nAnswer: -(o - 8789)*(o + 50)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.0466 take away 0.4?\nAnswer: -27.4466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 7 = 2. Let x be m\/(-3) + 18\/(-27). Let h(k) = -142*k + 3. What are the prime factors of h(x)?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -28?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-75)\/30*(48\/10)\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 10:35 PM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -25*r**2 + 71*r + 1. What is u(4)?\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 + 30.27. Let i = w + -0.27000044. What is i rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-2) - (-7)\/2. What is the remainder when (0\/k)\/(-3) - -41 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 x, and 1 y when three letters picked without replacement from {w: 1, x: 7, i: 6, t: 2, y: 4}?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1496927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qpad when four letters picked without replacement from {p: 1, h: 2, j: 3, d: 1, q: 4, a: 1}?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -552733, -553220, -553705, -554188, -554669, -555148?\n\"Answer: s**2 - 490*s - 552244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 7*b - 9. Let s be v(-9). Suppose 0 = -s*w + 512 - 62. Calculate the remainder when 1\/(-3) - (-2676)\/9 is divided by w.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 1367\nAnswer: -3\/1367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45.857 + -43.2. What is n rounded to 1 dp?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 94 + 65 - 181 - 2*h to the form b + d*h and give b.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/40 and 137\/4380.\nAnswer: 8760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9135857 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 + 0)*(-f + 0*f + 0*f)*(0 - 1 + 6).\nAnswer: -20*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of b**5\/60 + b**4\/6 - 5*b**3\/6 + 13*b**2. Let w be v(-6). Factor -18*n - w*n**3 + 2*n**3 + 38*n.\nAnswer: -5*n*(n - 2)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48 + 49 + -36 + -3\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*h**2*v - 14435*h**2 - 6*h*v - 12*h - 309519*v - 20 with respect to v.\nAnswer: -8*h**2 - 6*h - 309519","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 31499040.\nAnswer: -31499039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(-4*sqrt(63)).\nAnswer: -sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -111540 divided by -6.\nAnswer: 18590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -4*d, -j + 18 = j + 2*d. Let n = -2 - 1. Sort n, -4, j in descending order.\nAnswer: j, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1093*t**2 - 28236*t**2 + 13761*t**2 - 40903*t**2.\nAnswer: -56471*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y**3 - 7*y**3 + 8*y**3.\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (808\/(-7272))\/((-26)\/(-4) + (-15)\/5)?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**4 - 3*u**4 - u**4)*(-3*u + 10448 + 4*u - 10441).\nAnswer: -4*u**5 - 28*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -293 in decreasing order.\nAnswer: 5, 3, -293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 82506918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -47*j + 425. Let g be r(9). Which is the nearest to 2\/101? (a) -4 (b) 0.5 (c) g (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 10:54 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -738153 + 738153 + 54*y**2.\nAnswer: 54*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -423 (b) -0.2 (c) 0.08 (d) 209\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and 12905055542881.\nAnswer: 12905055542877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.228153 + 3.2797. Round j to 3 decimal places.\nAnswer: 0.052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -3*j + 4*j + 11, l = 2*j + 4. Suppose -n + l*i + 11 = 5*i, -4*i + 14 = 2*n. Let t(m) = -4*m**2 - 1. Determine t(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.5 - -1096\nAnswer: 1088.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -213.27 to the nearest 10.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 55561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-939 - -719)*18\/(-10) and 2178.\nAnswer: 4356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-1 + 1)\/(24\/(-24))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v + 2*v + 2*v)*(-2 + 0 - 1)*((-4 - 9 + 3)*(-2*v - 2*v + 6*v) + (-3*v - v + 6*v)*(4 + 0 - 1)).\nAnswer: -42*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66317298.\nAnswer: 2, 3, 59, 187337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 616, 2 in descending order.\nAnswer: 616, 2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-28)\/6 - (-4)\/(-12). Let c(x) = -x**3 - 5*x**2 - 2*x - 6. Let q be c(j). Solve 0*a + q = -2*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 729 and 447021990?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5489575 and 110889415.\nAnswer: 554447075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 272 - 56 = 0. Let n = 174 + b. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -24*p - 1125 = -67*k - 17*p, 6*k + 15 - 73 = 2*k + 5*p for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/3 (b) -2\/7 (c) 5.2 (d) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 times -2680.176?\nAnswer: 53603.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -101 + 122. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2902400 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 7, 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120 and 456.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 8*g = 10. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/660 and ((-4264)\/39688)\/((-8)\/(-6)).\nAnswer: 7260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i = -2*i + 88 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9 - 2*q**3 - 286*q**2 + 286*q**2 wrt q?\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1730 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 4*i**2 + 49*i + 130. Let b be y(-13). What is the greatest common divisor of 52 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -19919.763139 and -0.7.\nAnswer: -19920.463139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 3714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 9:57 AM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 198, 758, 1692, 3000, 4682, 6738, 9168?\nAnswer: 11972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -1\/745055 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 10179022.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (52\/312)\/((-2)\/(-84))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.74547 and 674.6279942?\nAnswer: 675.3734642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*f - 5, 5*r - 3*f = -25. Let o be r\/(-10) - (-1)\/5. Is 0 + 6163 - (o - 1)\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, q: 7, g: 1, a: 2}. Give prob of sequence ggah.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, s: 3, h: 3}. Give prob of picking 1 h and 2 c.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 13) to base 14\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of -m**4\/24 - 5*m**3\/3 + 7*m**2. Let d be n(-7). Calculate the smallest common multiple of 10 and 1 + 5 - (d + 2).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.4 and 0.3?\nAnswer: 0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -9087378 divided by 6?\nAnswer: -1514563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 555.1 - 692.32. Let g = b + 138. What is g rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -15.41 and -0.5?\nAnswer: 14.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -1\/2 (b) -0.4 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1636, -3553, -5478, -7411, -9352, -11301, -13258?\n\"Answer: -4*c**2 - 1905*c + 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - (-5474)\/21)\/(4\/6). Let v = i + -391. Solve v*z + 9 = -6 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04 and -47.\nAnswer: -1.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/176 and -59\/1140084.\nAnswer: 4560336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12\/547 + 2707\/98460. Suppose 0*t = 3*t - m, 0 = t + 3*m - 10. Do j and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7\/6 + 79\/78. Suppose -6*c + 2*q = -10*c + 4, -5 = -5*c - 4*q. Which is greater: c or b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.36 in -3\/4, 31, 3, -225?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*b - 104 = 7*b. Let u be 24922\/85 - (-1)\/(10\/b). Round u to the nearest 10.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150355314 is divided by 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/24 and -53\/44718.\nAnswer: 178872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) -5\/12 (b) -2 (c) 0.1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) - (5 + -2*sqrt(175)) - sqrt(175) - ((0 + sqrt(847) - sqrt(847) - sqrt(847)) + sqrt(847) + 2))**2.\nAnswer: -140*sqrt(7) + 749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 106417911?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 3*(5*(sqrt(833) - sqrt(833)*3 - sqrt(833))*6 + -3))**2.\nAnswer: 30240*sqrt(17) + 60725764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 101832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2497070649?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 49 + 3 + -1 + -1. Let c = -28 + x. Calculate the lowest common multiple of 1*(7 - (0 - 3)) and c.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 v when four letters picked without replacement from ffpffzfpvfbvvzo?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*j + 62 = 9*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5225333230 - 1?\nAnswer: -5225333231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13\/3 in 0, 3, -2, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.837 + 0.8967. Let g = 0.06 - y. Round g to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from pjymmmmympjypmyppp?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a kilometer in centimeters?\nAnswer: 48000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1786805992 to the power of 1\/5, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4*w + 30. Suppose 4*n - 2*n = 2. Calculate the remainder when b(7) is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-8) + 254\/16 + -9 + -7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -167 by -2421.\nAnswer: 167\/2421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -122054 (base 7) in base 13?\nAnswer: -a220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 461, -47 in ascending order.\nAnswer: -47, 11, 461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -78*i**2 + i. Let r(x) = -3*x. Determine t(r(c)).\nAnswer: -702*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.32487 + 0.17513. What is the closest to q in 1\/8, 0.3, -367?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*g = -145*g - 40, 0 = 4*q + g - 40228. What is the hundreds digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 14 - 20 = 0. Solve -4 = -4*w - 4*g - g, -g = -w + x for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0836826 + -0.0842. What is o rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3071718?\nAnswer: 2, 3, 13, 13127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 3*b, q + 3*b = b - 3. What is the third derivative of 0*o**2 - q*o**3 + 0*o**2 - 2*o**3 + 3*o**2 wrt o?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*p**2 - 335*p - 6727 wrt p?\nAnswer: 8*p - 335","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2 - 8637*q - 8640.\nAnswer: 3*(q - 2880)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 235527641 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8801 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3 = 3*b - 9, 3*v - 29 = b. What is the highest common factor of 4527 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, -3\/2, 8\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-13)*((-946)\/44 + 15).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*p + 173 - 317. 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 j(q) = q**3 - 3*q**2 - 4*q - 1. Suppose 4*u - 3*c = 24, 3*u + 4*c + 3 = c. Let n be j(u). Let a = 3 - n. What is the greatest common divisor of a and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*p - 11*p - g + 128, 0 = -4*p - 3*g + 128. What is the smallest common multiple of 22 and p?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-427 + 1136 - 489)*(5*d**3 - 3*d**3 - d**3)*(-3*d**2 + 2*d**2 - 19*d**2).\nAnswer: -4400*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 14692649.7 rounded to the nearest ten thousand?\nAnswer: 14690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 9*z**2 - 2*z - 10. What is f(-2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11807.2 rounded to the nearest one hundred?\nAnswer: -11800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c**2 - 3*c - 4. Let j(x) = -x**2 - 5*x + 17. Let m be j(-7). Give y(m).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -32\/19 and 10 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4393 - -4393. What is the nearest to 0.8 in 2\/25, z, -3\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5303, 10544, 15787, 21032, 26279, 31528?\n\"Answer: l**2 + 5238*l + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2064467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -6*h + 2*h. Let k be (-30)\/(-7) + h\/21. Let d = 14 + -13. Solve d = k*m + 13 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 277 - 5?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 82500.27l?\nAnswer: 82500270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*k = 2*q - 100, -q - 3*k + 45 = 0. Suppose 6*z = -q + 36. Is 2\/65 at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-1\/13)*m\/(m\/((m\/m**(-17))\/m)))**(-3\/11))**(-27\/5) assuming m is positive.\nAnswer: m**(3807\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-6) + 16\/(-42). Let x = 1 - 0.7. Is x > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 130 + 1338 = 0. Let v = t + 1795. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 493.5 - 493. What is the second smallest value in 0, d, 3, -2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 3*k**5\/8 - 471*k**4\/8 - 240*k**3 - 483*k**2\/2 = 0?\nAnswer: -2, 0, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7678, 30615, 68836, 122335, 191106, 275143, 374440?\n\"Answer: -f**3 + 7648*f**2 + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2419*q. Let v(a) be the second derivative of -a**3\/3 - 110*a + 3. Calculate v(j(k)).\nAnswer: -4838*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/56)\/(9\/1656)*3\/(-6)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*w**5 - 9*w**5 + 52*w**5 + (0*w**2 + 3*w**2 + 0*w**2)*(-w**2 + w**2 + 2*w**3).\nAnswer: 60*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4 - 2737*t**3 - 1871423*t**2 + 1874161*t.\nAnswer: -t*(t - 1)*(t + 1369)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 703534 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4*t - 12. Let m be o(-4). Suppose 5*z - 3*u = 83, -u - 17 - 48 = -m*z. Solve 6*n - 8 = z for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3}. Give prob of sequence qqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128420?\nAnswer: 2, 5, 6421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*n - 4444 = 1631*n + 31200 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1121 (base 3) to base 4\nAnswer: -223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 d when two letters picked without replacement from dddvvfvdhvv.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eess when four letters picked without replacement from seseeee?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1654577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5*u - 24 = 0. Let j be 6\/u*(-20)\/(-5). Suppose 0 = -j*v + v + 210. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/15*3\/(-4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 44277 (base 10) to base 11\nAnswer: 302a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 34\/18 + (6\/28 - (-494)\/(-4788)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/16 of a week?\nAnswer: 1890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b + 5. Let g(j) = -285*j + 22. Determine -g(i) + 5*w(i).\nAnswer: 275*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/113, 4, -3\/4, 2, 9\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - t**2 + t - 5. Let n be c(0). Suppose -4*h + 46 = -5*b, 2*b - 35 = -3*h + 6*b. Suppose 3*p + 0*p - 9 = 0. Sort h, n, p in descending order.\nAnswer: h, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-4)*(0 + -1).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -33788, -33812, -33844, -33890, -33956?\n\"Answer: -f**3 + 2*f**2 - 23*f - 33766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 14520, -3345.\nAnswer: -3345, 2, 4, 14520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 92, 136, 178, 218?\nAnswer: 256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.09 in 1\/5, -2\/7, -1\/4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 234 and 28561.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1056752766 and -14.23.\nAnswer: -1056752780.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of 2456*c**3\/3 + 272*c**2 + c - 4625. What is the first derivative of h(y) wrt y?\nAnswer: 4912","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/(3825\/34))\/(8\/(-10))*(-156)\/(-2).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -339 + 338. Let c be (2226\/b)\/3 + -1. Round c to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/5)\/o)**31*o**(-1\/5)\/(((o\/o**(1\/17))\/o)\/o) assuming o is positive.\nAnswer: o**(-1508\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5541249 is divided by 650.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -4, 2, 1, 5, 6.\nAnswer: -11, -4, 1, 2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/6, 9, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55\/57 + 2363\/2508. Which is the biggest value? (a) -3 (b) 0.1 (c) -0.2 (d) 1\/3 (e) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 7:02 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x - 6*x = -80. Let y be x\/(1*1\/(-4)). Suppose -6*a + 80 + y = 0. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g - 16 - 18*g - 3591.\nAnswer: -14*g - 3607","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3248183*k - 3248000*k = -5490 for k.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -17*k + 44. Solve 4*t = -14 + k for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 3:34 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9754*t - 4619*t - 6022*t.\nAnswer: -887*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/9*(-57)\/76.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6 - -2)*(-6 + -615). Suppose 13*w - w = j. List the prime factors of w.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 488?\nAnswer: 2440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58.6 - 59. Let n be ((-10)\/15)\/(6\/(-27)). Let y be (-4)\/(-12)*(2 - n). What is the closest to 0 in o, 3\/4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w - 77. Let d be l(15). Let n(a) = -a**2 - 31*a + 31. Let x be n(d). Let i be 8\/(-77) + 8\/28. Which is bigger: x or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120138 is divided by 7504.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 12*q + 10615*q**4 - 15*q**5 + 3*q**3 - 5371*q**4 - 5307*q**4 + 63*q**2 = 0?\nAnswer: -4, -1, -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 114810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3154 - 2*w**2 - 2*w**3 + 3*w**2 + 3152. Let n(i) = 1. What is -4*n(a) - r(a)?\nAnswer: 2*a**3 - a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 16*m + 20. Let q be l(17). Suppose q*g = 17 - 11. Sort g, -5, 1 in descending order.\nAnswer: g, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 305*l. Let x(p) be the third derivative of p**4\/24 - 416*p**2. What is m(x(t))?\nAnswer: 305*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -u**2\/6 - 5389*u\/3 + 270700\/3 = 0.\nAnswer: -10828, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c + 161 - c**3 + 163 + c - 4*c**2 - 5*c - 323. Suppose 3*s - 3 + 19 = -4*n, -n = 1. Give d(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + a + 8 = 2*x, 3*x - 20 = -5*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -460\/7919 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3 + 1468*r**2 + 57980*r - 15714364.\nAnswer: 4*(r - 79)*(r + 223)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -7*d. Suppose d = 2*t - 13 + 9. Solve -2*q = t*h - 6*q - 16, -h - q = 1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 64 = 4*f. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2320 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 36 = -0*s. Solve -2*z - s = 2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2799907743 to the power of 1\/5, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from uumum.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 + 21. Let k be o\/(-10) - (-1)\/2. Suppose 3*m = -s - 2, 3*s - 3*m = 8*s - k. What is the remainder when s is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -56086 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32*u**3 - 16336*u**2 + 700974*u - 7230222.\nAnswer: -2*(u + 551)*(4*u - 81)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*i**2 + i**2 - 3*i**2 + 2*i**4 wrt i?\nAnswer: 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(27\/6)*-1*22\/(-3410)\nAnswer: -2\/155","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22222333 + 1?\nAnswer: -22222332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 133.63 and -0.02.\nAnswer: -2.6726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 26.355 to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 8*b**2 + 18*b - 30. Let a(j) = 7*j**2 + 15*j - 25. Let m(c) = -6*a(c) + 5*z(c). Let f(q) = -2*q**2 + 29*q - 14. Determine f(m(y)).\nAnswer: -8*y**4 - 58*y**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**12*p*p**(-10)*(p\/p**12)\/(p**(1\/17)*p))**(1\/22))**(-47) assuming p is positive.\nAnswer: p**(6439\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 9*r - 45. Let w be j(6). Let f(p) = 2*p**2 + 7*p + 10. What is the tens digit of f(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -16*(-1668)\/(-1488)\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.37 at most 62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-105)\/(-14)*(-74)\/(-259)*28\/(-5)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2\/29, 1, -7\/2, 4, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 251 and -0.02 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 3. Suppose -y*s - 3*s + 3*a + 2101 = 0, -4*s + 1674 = a. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 6*g + 43. Calculate f(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339 is divided by 311?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 182 - 95. Does 15 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137 + 268 + 0 = -9*x. Sort -3, 3, x.\nAnswer: x, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6449*g + 585*g - 2959*g + 1317*g to f + s*g and give s.\nAnswer: -7506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 512143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.38600642 - 0.386. Round b to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 4. Let k = y - 3.1. Let r = -0.8795 + 0.9795. Which is the third smallest value? (a) r (b) 1\/36 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 + 0.37. Let p = 0.1 - j. What is p rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**4 + 2*s**4 - s**4)*(0*s + 5*s - 4*s) + 5*s**5 - 2*s**5 - 4*s**5 + (-7*s**5 + 16*s**5 + 8*s**5)*(-6 - 1 - 9) + 4*s**5 + s**5 - 6*s**5.\nAnswer: -273*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4*z + 4*c = 46, 3*c = -5*z + 129. Find the common denominator of z and ((-767)\/26)\/((-3)\/(-2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -s**5\/12 - 35*s**4\/24 - 5*s**3 + 4*s**2 - 30. Let f(a) be the second derivative of h(a). Factor f(g).\nAnswer: -5*(g + 1)*(g + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 401814307.544 and -0.21.\nAnswer: 401814307.334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12\/1921 or -1?\nAnswer: -12\/1921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5402 + 2698 + 2702 - 33*z.\nAnswer: -33*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 275\/68, -0.3, 2\/7, -4, -2\/13 in increasing order.\nAnswer: -4, -0.3, -2\/13, 2\/7, 275\/68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l**4 - 5*l**3 + 5*l**2 - 13*l - 5. Let g(j) = -j**4 + j**3 - j**2 + j + 1. Let k(c) = f(c) + 5*g(c). What is the second derivative of k(w) wrt w?\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/10*13\/((-338)\/195).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 294725 + -108292. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2217*k - 37712. Give z(17).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 12 = -5*g + 4*c, -4*g = -3*c + 13*c - 5*c + 51 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**6*d*d\/d**2)\/((d\/((d**2\/d*d)\/d))\/d**3))\/(d**0\/d**1)**50 assuming d is positive.\nAnswer: d**61","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, f: 1, t: 2}. What is prob of sequence tfj?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 a when two letters picked without replacement from {f: 4, o: 5, a: 1, n: 5}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2644910?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10128 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -246 + 106. What is the greatest common divisor of c and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/(-4))\/((-46)\/(-4)) + 13728\/(-7176). Let a = -0.02 + -0.06. Let h = a - 0.92. What is the nearest to 0 in 0.01, b, h?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/8 of a milligram in micrograms?\nAnswer: 7875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -1. Let u(w) = w - 12. Let s(f) = f**2 - 3*f. Let x be s(2). What is x*u(a) + 22*q(a)?\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1\/3, 2, 4 in decreasing order.\nAnswer: 4, 2, 1\/3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 8*o - 88. What is u(11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 713136?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 288?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -45141*l**2*n**3 - 251872*l**2 wrt n?\nAnswer: -135423*l**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -21 + a0d2?\nAnswer: a0b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 735 and 15435.\nAnswer: 15435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -38*k**3*n*q + k**3*n + 10*k**2*n - 88*k**2 + 1012*k*n - k - 1311870*q**2 wrt q?\nAnswer: -38*k**3*n - 2623740*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253866282.\nAnswer: 2, 3, 283, 307, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2571323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54 + (-18 - (-31 + 46)) + 8?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.73 + 0.18. Let b = -0.09 - j. Let w = 1 + b. What is the closest to w in -5, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 971 - 26213\/27. What is the common denominator of l and 133\/24?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18804261 is divided by 120.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - r = 24. What is the common denominator of (-12*(-1)\/2)\/((-42)\/33) and -5 + r + 13\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, o: 1, q: 4, x: 9, g: 1, k: 1}. What is prob of picking 1 o and 1 g?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 s when four letters picked without replacement from zsssssssssssssszss.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -42800000 to the nearest one million.\nAnswer: -43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -40, -4, -2, 15 in descending order.\nAnswer: 15, 4, -2, -4, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 130\/(-15))*(-18)\/(-24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 368544.2 to the nearest one thousand.\nAnswer: 369000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200 a factor of 300971626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 - -2bd9?\nAnswer: 2bdf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4 + 17*h**3 + 75*h**2 + 103*h + 44.\nAnswer: (h + 1)**2*(h + 4)*(h + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33497117?\nAnswer: 29, 109, 10597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.2 + -442368?\nAnswer: -442292.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 346*h**2 + 2696*h + 27. Give r(-8).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 2\/13 (c) -0.01 (d) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, b: 1, t: 3, j: 1, h: 4, g: 4}. What is prob of sequence jnb?\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 40 = l. Let h be (-484)\/(-9) + (6 - l). Let q = h - 52. Sort q, 3, -2.\nAnswer: -2, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2418099814.\nAnswer: 2, 13, 67, 1388117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -869071*d = -869100*d + 377 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -65 + 93. Let n be (-12)\/21 - (-51)\/f. Suppose -u - 5*s = -4*u + 15, 0 = -3*u + s + 3. Is u less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 - -20.4. Let b = -2.8 + 0.8. What is the second smallest value in d, b, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*u - 206 = -4*h, -5*u = -3*h + 218. Let f = h - 386. List the prime factors of f\/(-12)*(4 - 1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 0*d**3 + 3*d - 3*d**2 + d**3 + 0*d**2. Let t be k(2). Factor -2*x + 0*x + 1 + 0*x**2 + x**t.\nAnswer: (x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 2*s - 3. Let b be r(3). Let v(z) be the first derivative of -z**2\/2 + 5*z - 1. Determine v(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2051 + 10387. Does 16 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = d + 1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 + 1 - (6 + -12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) -2 (c) 0.3 (d) 0.42 (e) -5.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/3 - (-28)\/3. Let m = x - 3. What is the units digit of (m\/4)\/(2\/28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27448387039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9064137 a multiple of 213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f + 2. Let l(y) = -303*y - 1 + 304*y + 3. Determine -4*l(k) + 3*u(k).\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -948355 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2209, 4417, 6625, 8833, 11041?\nAnswer: 13249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 8:47 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 23. What are the prime factors of u?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -130949, 1 in ascending order.\nAnswer: -130949, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 314*a**3 - 23*a**3 + a**4 + 63*a**3 - 1 to t*a**2 + c + h*a**4 + y*a + j*a**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5145 is divided by 136.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/139, -3, -0.03 in descending order.\nAnswer: 4\/139, -0.03, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*v**2 - 9*v**2 - 2*v + 7*v**2 - 21*v**2.\nAnswer: -38*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1662025 (base 9) in base 4?\nAnswer: 3202031312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3146, -6158, -8946, -11396, -13394, -14826, -15578?\nAnswer: -15536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 8:19 PM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yllyll. What is prob of picking 1 l and 2 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 m when three letters picked without replacement from {h: 3, r: 3, m: 2}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(405))**2 + 2 - (sqrt(125) + (-5*4*sqrt(125))**2).\nAnswer: -43518 - 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 0 - 124*p**3 + 122*p**3 in the form g*p**2 + s*p**3 + c + n*p and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3 + 58*f**2 + 6784*f + 124928.\nAnswer: -(f - 122)*(f + 32)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*s - 479*s**3 + 475*s**3 + 46*s.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000575112139 rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6fe364 + 68?\nAnswer: 6fe3cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**2 + 4*j**2 - 8*j**2 + 1032*j - 1032*j.\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 6:38 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.03 - -0.13. Which is greater: h or 2.1?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26654?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-5\/3)*k)**13*(k\/(k\/(k*k**(-2\/29))*k))**(5\/4) assuming k is positive.\nAnswer: k**(739\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*b = -2, 0 = -2*k + 2*b + 6. Suppose 0 = -3*p + 4*l + 5, -6*l + l - 10 = 0. Let c = k + p. Solve c = -2*f - 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 6 - 2 + 9)*(-13 + 2*k**2 + 13 + 2*k).\nAnswer: 2*k**3 + 4*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*f + 2*u, -u - 1 = 4. Suppose f*v - 3*y - 5 = y, 7 = 2*v + y. Let c be 16\/(3\/(-3) + v). Solve -q = 3*q + c for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -b**5\/60 + 7*b**4\/12 - 4*b**3\/3 + 3*b**2. Let d be i(14). Let m be ((-2)\/3)\/(d\/6). Put 0, m, -0.07 in ascending order.\nAnswer: -0.07, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 20400 = 11*q. Suppose -17*v = 7*v - q. Is 8 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -3*z - 117, 2*b - 2*z - 120 = -b. Suppose -3*a = -549 - b. Suppose -w - 3*m = -a, -3*w - m + 445 = -162. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2*v**4\/7 - 26*v**3\/7 + 204*v**2\/7 - 440*v\/7 + 304\/7 = 0.\nAnswer: -19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/32 and 151\/7718748?\nAnswer: 61749984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 37*v - 43*v + 211 - 214. Let c(d) = -d**3 + 8*d**2 - 8*d + 5. Let o be c(7). Determine u(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3935.4062 and -135777.\nAnswer: -139712.4062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 467446?\nAnswer: 2, 7, 173, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 10863, 21725, 32587, 43449, 54311, 65173?\n\"Answer: 10862*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -5*l - 7 - 3 - 2. Let q(u) = 11*u + 25. Let k(d) = -9*b(d) - 4*q(d). Differentiate k(x) with respect to x.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, 95\/2, 1\/9, 2\/7?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 10 - 9. Suppose z = 2*s - f, -2 = 2*z + 5*s - s. What is the remainder when 34 is divided by z + 8 - (-2 + 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43936525531 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100 + 5591*k**2 + k - 7926*k**2 - 8010*k**2 - 2*k**3.\nAnswer: -2*k**3 - 10345*k**2 + k + 100","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + (1 - 48\/27). Let o = -101 + 59. Let k = o + 39. Which is the biggest value? (a) t (b) -11 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j - 6. Let h(b) = 4*b + 6. Let f be -1 + (-3)\/6*6. Let i(l) = f*h(l) - 5*s(l). Give i(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5*k = -411, -2*k + 3*k - 407 = -y. Suppose 2*t + 2*u - y = 0, 0*t - 3*t - 4*u = -604. What are the prime factors of t?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4825292?\nAnswer: 2, 1206323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 353418 and 1794?\nAnswer: 353418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -31718, -63437, -95156, -126875, -158594?\n\"Answer: -31719*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 4*p = -667, -21*l - 4*p = -19*l - 278. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 11*x**2 + 3*x + 3. Let m = -3520 - -3517. Let h(g) = g**3 - 10*g**2 - 2*g - 2. Calculate m*h(b) - 2*z(b).\nAnswer: -3*b**3 + 8*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1542)\/9)\/((-10)\/(-75)). Let u = -718 - i. Is u a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -42 + 11?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/16 + 1 - (-1309)\/(-616)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6769640 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -422*i**2 + 1215*i - 704. What is the first derivative of h(k) wrt k?\nAnswer: -844","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 1 + 8*c**2 - c - 3*c**2 + 1 + 1. Does 17 divide u(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1930200239.\nAnswer: 11, 175472749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 556*d + 17001. What is w(-30)?\nAnswer: 321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/13 (b) -1 (c) 0.037\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 7*y**2 + 8*y - 2. Let b be i(-5). Let m be (2\/(-4))\/((-2)\/(-48)). List the prime factors of (-3)\/m + 22\/b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {x: 5, j: 3, f: 3, n: 9}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*w + 58*w. Let a(b) = b**2 - 6*b + 4. Let q be a(6). Suppose -312 = q*n - 7*n + 2*y, w = -2*y - 6. Is n a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 8, -4, 2, -3 in decreasing order.\nAnswer: 8, 2, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1036.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 36369866.1265 - 7\nAnswer: 36369859.1265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -271, -66, 137, 338, 537, 734, 929?\n\"Answer: -i**2 + 208*i - 478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*i**2 - 151 + 14*i**2 + i**5 + 151 wrt i?\nAnswer: 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 52 = -2*l, -x + 2*x = -4*l + 35. Let i be 25 + -6 + -6 + 0. Let g = 2 + -2. Solve t + i = -3*f, -5*f - x = t - g*f for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnn when four letters picked without replacement from {n: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -177*d + 585. Let q(r) = -r**3 - 16*r**2 - 2*r - 30. What is the remainder when u(3) is divided by q(-16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44 and 8206.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6b (base 15) in base 11?\nAnswer: -92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a milligram in micrograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 5*h - 18. Let m be s(4). What is the second derivative of 24*d - 34*d**2 - 21*d**m + 13*d wrt d?\nAnswer: -110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/15 (b) -1 (c) -3 (d) 0.4 (e) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 13 = -2*r - 0*r, -4*r - k - 7 = 0. Let c be 0\/(-1) - (r - 1). Find the second derivative of -3*n**c - 2*n + n**2 + n**2 wrt n.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12348313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10308 + -9161. What is the highest common divisor of 93 and u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 + 26 - 2*z - 53 - 15*z + 73.\nAnswer: -17*z - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.242 - -9.222. Let j = 2 - 3. Which is the third smallest value? (a) j (b) 0 (c) -5 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((627\/77)\/19)\/(4\/70))\/6.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5852 and 102578644.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -3, 8 in ascending order.\nAnswer: -3, -1, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from qbb.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -923*k + 965*k - 546 = 0 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 6375\/158873?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14.42 - 15. Let q = g + 0.6. Let f = -0.12 + q. Which is the closest to f? (a) 1\/2 (b) 4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 4 - (-12 + 0 + (-94 - -92)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -215368 and -5038761802.\nAnswer: -5038977170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of 0*c**3 + 7\/2*c**4 + 0*c + 15 + 9*c**2. What is the second derivative of g(j) wrt j?\nAnswer: 84*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/(-12) - -4)*-6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**4\/3 + 86*w**3\/3 - 268*w**2\/3 - 86*w\/3 + 89 = 0.\nAnswer: -89, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 42953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2102.7 + 2103. Sort 4, g, 0.231 in ascending order.\nAnswer: 0.231, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, b: 1, t: 1}. What is prob of sequence wbt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*f**6 + 5*f**5 + 13*f**3 + 2*f**2 - 4*f - 9.\nAnswer: 600*f**3 + 300*f**2 + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w + 3. Let f(q) = 2*q + 2. Suppose 0 = -0*n - n + 5. What is n*f(o) - 3*s(o)?\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 5*m**2 - 12*m + 48. Calculate q(5).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 2) + (-3 - 9). Let s = f + 20. Solve s = 3*g + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 r, and 1 a when three letters picked without replacement from unubauurun?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -80 - -81. Let u be 13\/(b\/(-24)*3)*1. Let i = u + 121. What is the remainder when 31 is divided by i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/9 - (-50)\/(-3). Let m = 10 + q. Let n = m + 10. Solve n*o + o = -15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(11\/2))**35 assuming a is positive.\nAnswer: a**(385\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6*(0 - 6\/(-9)). Let h be -1 + 7 - 3 - -1. Suppose -3*l - r*b - h = -2, -8 = 2*l + 4*b. Is l a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9\/340 or 0?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/7 - -2)*(-277)\/554?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**2 + 3*w**2 + w**2 + (4 - 3 + 0)*(-9*w**2 + 41*w**2 - 3*w**2).\nAnswer: 30*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 2*y - 3, 2*a = 4*y - 0*y + 6. Put 2, -4, a in decreasing order.\nAnswer: 2, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 165133 to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2*x = 5*x + 5, -5*x - 2 = -3*z. Let l be (67\/((-4339590)\/(-153)))\/(3\/5 + (-2)\/10). Is z bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -96 (base 10) to base 4.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/5, 2\/7, 3, 40\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6877 - 14?\nAnswer: 6863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-24)\/(t**(-26)\/t))\/(t**(-1\/17)\/(t\/(t*t**(-1\/9)\/t))))**18 assuming t is positive.\nAnswer: t**(1276\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 4*u**3 + 7*u - 2. Let z(s) be the second derivative of -3*s**5\/10 - 5*s**3\/3 + 3*s**2\/2 - 144*s. Give -7*j(g) - 5*z(g).\nAnswer: 2*g**3 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68 + -1 - (-60)\/(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.54693547 + -9.611935. Let c = s - -0.065. What is c rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50354 (base 6) in base 9?\nAnswer: 10067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 22*u + 167. What is the units digit of i(43)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(85)*2)\/sqrt(5) - (sqrt(17) - 6*sqrt(153)))*-1 + (sqrt(187) - (sqrt(187)*2 + sqrt(187))*6)\/(-1*-1*sqrt(11)))**2.\nAnswer: 22032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1711982038?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19016 + 28040. Let k = -6085 + r. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnk when three letters picked without replacement from knkknknnnkkn?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 720240 to the nearest ten thousand.\nAnswer: 720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of q**5\/30 - q**2. Let s(l) = -7*l. Give s(j(m)).\nAnswer: -14*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -431 - -3453\/8. Let q be (4 - 11\/(-9)) + -5. Sort -0.4, q, m.\nAnswer: -0.4, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 579228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -8*l + 6. Let k(m) = 7*m - 6. Suppose -4*x = -2*x - 12. Let o(j) = x*h(j) + 7*k(j). What are the prime factors of o(12)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(((f\/(f*f**(7\/2)))\/f*f)\/f))\/(f\/f**(2\/19)*f))**40 assuming f is positive.\nAnswer: f**(2740\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/81513 and -101\/10?\nAnswer: 815130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 2*n - 4*w, n = 3*n + 2*w - 66. Let c(m) = m + n - 14 - 12. Determine c(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1, 46 in increasing order.\nAnswer: -0.2, 1, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 11*y**2 - 43*y**2 + 13*y**2 + 8*y**2 + 10*y**2. Let t(q) = 2*q + 335. Determine t(v(f)).\nAnswer: -2*f**2 + 335","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*h + 36 = 0, 3*h - 9 = -2*m - 2*h. Let p be (-2)\/8 + (-18)\/m. What is the third derivative of 0*j**2 + j**6 - j**p + j**6 wrt j?\nAnswer: 240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 6*j + 11. Let f(a) = 4*a + 7. Let c(v) be the first derivative of 1\/3*v**3 - 1 - 14*v - 9\/2*v**2. Let n be c(11). Determine n*f(k) - 5*u(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 4*b = -24, 3*p - 3*b + 8*b = 50. Solve -p*j + 6*j + 8 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -t - 21, w + 6 = t - 3 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddduudduuuduuudddud. What is prob of picking 1 d and 1 u?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2. Let t(r) = -100*r - 2798. Let g be t(-28). Let m = 16 + -10. Let s(j) = -j + 6. What is g*s(z) + m*h(z)?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7106 is divided by 830.\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00129728035 to six decimal places.\nAnswer: 0.001297","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/12 - 5\/(-10)) + 0\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -356*b - 24*b - 611*b - 335*b.\nAnswer: -1326*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*l - 4*o - 5, 2*o = -4*l - 2. Suppose -50*m + 16 - 216 = 0. Which is the third biggest value? (a) m (b) 15 (c) l (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 + 56. Let u = -19008 - -19548. Calculate the greatest common divisor of j and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19792885 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -101\/4 + 25. Suppose -4*g - 10 = -2*h, -4*h - 2*g - 7 = -7*h. Let j = -0.7 + 1.2. What is the biggest value in z, j, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, 5, 113, 327, 683?\nAnswer: 1217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 6\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 434 divide 1393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -29273\/3 < -9758?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17461391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/(3 + -3 - 2). Let g be c\/(-24) - (-21)\/4. Let r = g - 1. Solve -k - r = 1 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/21114 and -49\/874.\nAnswer: 401166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + 85. Let w = v - 108.00000415. What is w rounded to 7 decimal places?\nAnswer: -0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50 (base 7) to base 8.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of -m**7\/1680 - m**6\/144 - 7*m**5\/60 - 3*m**2. Let s(t) be the third derivative of a(t). Differentiate s(f) wrt f.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - ((-425)\/20)\/(-5). What is the biggest value in 3, 0.5, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-15)\/6)\/(3\/(-6)). Let c(p) be the first derivative of -3 - 1\/18*p**4 + 0*p**2 + 0*p - 2\/45*p**z + 0*p**3. Determine d so that c(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + -1 + 2 + 0. Let b(w) = -4*w + 253*w**2 + 781*w**2 - 253*w**2 + 1109*w**2 + 2. Let c be b(l). What is c rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/54369 and -16\/1467963.\nAnswer: 1467963","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j**3 - 129*j**2 - 2*j**3 + 30*j**2 - 5*j**3 + 2*j**3 to the form n*j**3 + y*j**2 + f + x*j and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194339.\nAnswer: 31, 6269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -770026 times 0.3\nAnswer: -231007.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -6*c. Let q be u(4). Let r = q + 21. Put r, 5, 3 in ascending order.\nAnswer: r, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -7*d**3 - 17*d**2 + 32*d + 33. Give h(-4).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 3176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.6555089 litres?\nAnswer: 655.5089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/132957736 and 109\/332394340?\nAnswer: 664788680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33204 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 285488.8 years in millennia?\nAnswer: 285.4888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 32011103233?\nAnswer: -32011103301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -598 + 1476. Which is smaller: j or 880?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2121012210 (base 3) to base 10.\nAnswer: 51186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 7 - 3*x**2 - 12 + 1.\nAnswer: -3*x**2 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(175)\/sqrt(5))\/((sqrt(56)*-2)\/sqrt(8)).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -229*q**3 - 12*q**2 + 6*q - 230. Let c(s) = -4*s**2 + 2*s. Let r(o) = 6*c(o) - 2*u(o). Differentiate r(d) with respect to d.\nAnswer: 1374*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 8*g - 7*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(44) + -3*sqrt(99).\nAnswer: -5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-145)\/(-105) + 4\/14. Let z be (-8)\/(-18) - (-4)\/(-6). Which is the third biggest value? (a) -1 (b) g (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i. Let g(v) = 2*v. Let m be 0\/(2 - 12\/3). Suppose m = 4*f - 0*f - 16. Let r(z) = f*g(z) + 3*x(z). Determine r(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -209407? (a) -0.1 (b) 0.863 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*b**3 - 7*b**3 - 3*b**3.\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2 + 2*h - 3*h - 2 + 2. What is the remainder when 26 is divided by l(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10225355 (base 6) in base 10?\nAnswer: -299303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 480982 is divided by 4143.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7840\/477 or 15?\nAnswer: 7840\/477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/732 and -44\/305?\nAnswer: 3660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -382724289*c**5 - 14201*c + 540 wrt c?\nAnswer: -7654485780*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 3 - (-7 + 8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2568068?\nAnswer: 2, 223, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 2*a. Let d be (-2)\/(-3 - -10*4\/8). Put 1, d, a in decreasing order.\nAnswer: 1, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*j**5 - 20*j**4 - 284*j**3 + 904*j**2 - 848*j + 160 = 0.\nAnswer: -5, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -636, -1271, -1906?\n\"Answer: -635*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -25\/2125012?\nAnswer: -25\/2125012","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -36*f + 5. Suppose -20*t + 24 = -23*t. Calculate the remainder when b(t) is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -42*w**4 + 6*w - 41. Let z(n) be the second derivative of -n**6\/30 + n**3\/6 + 19*n. Let v(j) = -c(j) + 6*z(j). What is the derivative of v(h) wrt h?\nAnswer: 144*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2.246629 years?\nAnswer: 0.2246629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -58 + 201a5?\nAnswer: 2014c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1001000110110101000111 (base 2) to base 7\nAnswer: 26201655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -587348\/5 + 117484. Solve w*q**2 + 72\/5*q - 142\/5*q**3 - 32\/5 + 6*q**4 = 0.\nAnswer: -2\/3, 2\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12903\/935*(-30)\/(-9).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -2*u**3\/19 + 6*u**2\/19 - 4*u\/19 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.5 - 4. Let d = 0 + y. What is the nearest to 0.2 in -1\/2, d, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1840, -1837, -1826, -1801, -1756?\nAnswer: -1685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 335 - 337. Let m = 7 - -11. What is the third biggest value in m, -5\/3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*l - 1536 = -82*l - 65*l + 9128 for l.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnaanajahjaaaeana. Give prob of picking 1 n and 1 a.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 + -46.3. Let q = -4.5 - g. Let r = 7.8 - q. Which is the fourth biggest value? (a) 1 (b) -3\/7 (c) r (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001000000001110000 (base 2) to base 15.\nAnswer: 5c634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -16, -54, -124, -232, -384, -586, -844, -1164?\n\"Answer: -s**3 - 10*s**2 - s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11369 divided by 409.\nAnswer: -11369\/409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (159 - 55)\/(112\/20 - 4).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 15) to base 9\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 2*u - 5, 3*s - u = u + 7. Suppose a - s = 19. List the prime factors of a.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 0 + (1 - 2). Let v = 13 - 8. Suppose v*d + 1 - 26 = n. Is d a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1354, 1331, 1294, 1243, 1178?\nAnswer: 1099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**(2\/7))*t**(-2\/3))**(-45)*(t**(3\/5)*t*t**(1\/4)*t)**(-2\/7) assuming t is positive.\nAnswer: t**(2943\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -5*h - 3*h + 689*h**2 - 13 + 708*h**2 - h**3 - 1402*h**2. Suppose -15 = 5*a + 5. Let l be y(a). Solve -l*n - 2 = -n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47 - (-83 + 68) - (2 - 0 - 0 - 2)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3690 (base 11) to base 12.\nAnswer: -2956","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 4a1?\nAnswer: -4a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of 1\/3*d**2 + 0*d - 2\/9*d**3 - 9. Let o(m) = 0. What is m?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -15*o + 3. Determine y(2).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*s**2 - 19*s**2 + 336*s**2 - 304*s**2.\nAnswer: -20*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -5*x + 15. Let r(u) = u**2 - 4*u + 15. Suppose -53*t - 475 = 42*t. Let j = 20 - 14. Let m(v) = j*s(v) + t*r(v). Factor m(f).\nAnswer: -5*(f - 1)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11812660 and 4268?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -91299 and -91164 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.2829 - 2.1829. Which is the smallest value? (a) 1 (b) 2 (c) w (d) -0.05 (e) 127\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134958?\nAnswer: 2, 3, 83, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - 5*k + 6. Let o be b(4). Suppose -3*a + j + 3 = -2*a, -13 = -o*a - 5*j. Let i = -2 + 4. Sort -4, i, a.\nAnswer: -4, i, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 440287 to the power of 1\/2, to the nearest integer?\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-2\/19))\/(r**(1\/3)\/r)*(r\/r**(2\/9))**(-34))**(19\/3) assuming r is positive.\nAnswer: r**(-4219\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14726 is divided by 1846.\nAnswer: 1804","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p - 3. Let y be q(4). Suppose -y*x = -20, -s - 3*x + 177 = 2*s. Calculate the remainder when 65 is divided by (s\/20)\/((-2)\/(-16)).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 191606.15 to the nearest one thousand.\nAnswer: 192000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -11918 > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a. Let b(d) = 34*d - 213*d + 16*d + 31*d - 87*d. What is t(b(s))?\nAnswer: 657*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -99*w**3 + 647*w**2\/2 + 1440. What is the second derivative of m(h) wrt h?\nAnswer: -594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 878 is divided by 436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 4 = -11. Suppose 2*s = m*s + 16300000. What is s rounded to the nearest 1000000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 9*j + 14. Suppose 4*d - 2*a = -4 - 2, -4*a = 4*d + 36. Let s(b) = -b - 1. Let k(g) = d*s(g) - z(g). Let r be k(6). Sort r, 5, -1, 4.\nAnswer: r, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - g + 4985 = 16108, 0 = 2*v + 4*g - 22222. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 8*d + 233. Let k be i(-29). Sort 5, -9, k, 3.\nAnswer: -9, k, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 w when two letters picked without replacement from ljjwwjwjjjojow.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*u**3 - 551 + 551 + (2*u**2 - 1 + 1)*(0*u + 4*u - 2*u) to q*u**3 + x + b*u**2 + h*u and give q.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*p = -0 + 2, 44 = 5*h - 2*p. Solve -2*u + 4 = -3*f, f + h = 5*u - 2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d - 3*j + 23 = -8*d + 3*d, -4*d + 4*j - 20 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k*k**12)\/k*k*k)\/k)**10)**(-6\/7) assuming k is positive.\nAnswer: k**(-120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63 and 315.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from {v: 2, r: 2, o: 12, w: 3, s: 1}.\nAnswer: 33\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 318 = 4*h - 7*h. Let k = 207 + h. Let t = -22 + k. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 + -5)\/((-4)\/2). Suppose -f - f + 4 = z, 3*f + 3*z = d. Suppose f*r - o - 2*o - 641 = 0, 810 = 5*r + 5*o. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.8000067 + -1.8. What is p rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 62, 86, 110, 128, 134, 122?\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -3*x + 27, 4*d = -2*x - 0*d + 22. Sort x, 4, -2 in ascending order.\nAnswer: -2, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9.124 + 9.124027427. Round u to 6 decimal places.\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0313769 rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 22*((-9)\/(-12))\/((-14)\/392*-21)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 174 = -3*g + 3*a, -5*a = -3*g + 168. What are the prime factors of g?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2055.084 + -2047. Let z = 8.2 - l. Let a = -0.11457 + z. What is a rounded to 4 dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5\/30)\/((-2)\/12). Let c(s) = -41*s**3 + s. Calculate the remainder when 677 is divided by c(a).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from {u: 11, q: 3}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11\/38 - -211\/171. Let w = r - 2\/3. Calculate the common denominator of 59\/12 and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -5*c - 22. Let p(h) = -2*h**3 + 5*h**2 - 15*h + 67. Let j be p(3). What is z(j)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 3 = 13, -2*u = 4*r - 16. Suppose 4*y + 12 = -0*y, -4*w - r*y = 1. Find the third derivative of -3*n**2 - 2*n**4 + 2*n**w + 0*n**4 wrt n.\nAnswer: -48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200434948431 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 163\/318 or 1?\nAnswer: 163\/318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 511108 is divided by 54.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of a**6\/15 - 9*a**5\/40 + a**4\/4 - a**3\/12 - 10*a. Let p(y) = 0. Calculate y.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -146*l**3 + 5*l - 3*l - 85*l**3 - 2 + 30*l**3 to r*l + h + x*l**3 + k*l**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 13. Find the first derivative of a - 1 - 10*m + 5*m + 1 wrt m.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 212?\nAnswer: -5\/212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-1)\/(-3)*(-9)\/(-4)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 87 and 186976920.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 713703.1l?\nAnswer: 713703100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.8 times -0.05?\nAnswer: -0.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36.9 - 26. Let t = 11 - y. Which is the closest to 8\/5? (a) 4 (b) 1 (c) t (d) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 3*g = -g + 20, 3*y = 4*g - 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 6 = -3*d. Solve 4*j + d = 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/336 and 69\/44792.\nAnswer: 1881264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 23*s**3 + 5*s**2 - 2*s - 2. Let v be d(3). Suppose 2*z + 10 = -2*n, 8 = -3*z - 4*n - 12. Suppose z = -b - b + v. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - 1. Suppose -5*k - 10 = 4*h, -17 = 4*k + 7*h - 2*h. Let g(u) = -5*u**3 - 9*u**2 - 9. Calculate k*g(a) - 18*n(a).\nAnswer: -10*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -93*l + 2. Determine s(1).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-1\/12))**(-1\/39)*r**12*r*r**(-3) assuming r is positive.\nAnswer: r**(359\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millennium in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 93812455 or 93812458?\nAnswer: 93812455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -27 (b) 1 (c) -30 (d) -340 (e) 3\/7 (f) 3 (g) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*r + 32. Suppose 5*d - 16 = 5*z - 6, -4*d = 4*z + r. Are z and -5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 7*z = -4*z + 30, 5*z + 17 = -3*y. Sort 19, y, 5 in decreasing order.\nAnswer: 19, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 7:14 AM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50097, -200386, -450859, -801510, -1252333, -1803322, -2454471, -3205774?\nAnswer: -4057225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 81*c + 140. Give r(83).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 308 and 63987.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/254 and -89\/2.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/4, 1431, 1\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*w**3 - 68963473*w**2 + 68963473*w**2 + 199)*(6 - 5 - 4).\nAnswer: -42*w**3 - 597","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppnpnppp. Give prob of sequence pp.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-72)\/(-20) - 3\/5. Suppose 0*i - 3*i = -9, o*i = -2*p + 5. What is the second smallest value in 2, 0.4, p, -7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-9) - (-5)\/12. Which is bigger: -0.04 or x?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -59, -81, -113, -155?\nAnswer: -207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 14 = -4*c, -c + 0*u + 4 = u. Let l = 6 - c. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 4:45 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -8 (b) -2\/11 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/2)\/((66\/18)\/11).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*l**2 + 9*l**2 + 3*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4*l = 2*l + 33342. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -66*k + 3\/2*k**2 - 138 = 0. Calculate k.\nAnswer: -2, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 3)\/(37 - 38)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -837*k - 5007. What is the remainder when 1059 is divided by j(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 0.9 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 12\/7, -35, 2\/3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1079905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 4*h + h - 1329, -2*h + q + 529 = 0. Let b = -185 + h. Which is smaller: 79 or b?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -68*k + 3. Let o(f) = 4 - 3 - 2 + 164*f - 14*f - 127*f. Calculate -3*m(h) - 8*o(h).\nAnswer: 20*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*j + 46*j - 5*j)*(-3 + 4 + 1).\nAnswer: 116*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b*q**3 + 382*b*q + 71*q**3 wrt b.\nAnswer: q**3 + 382*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1632 + 422 + 3676*i**2 - 2507*i**2 wrt i.\nAnswer: 2338*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10069.\nAnswer: 10069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57767 is divided by 482?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 414 + -456. Let n = p - -117. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 374 a factor of 244058776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.3 + 0.02?\nAnswer: 67.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*(a**(1\/11)\/a*a*a)\/a*a\/(a\/(a*a*a\/a**(-10)*a)*a)*a)\/(a\/(a**(2\/3)*a))**(1\/7))**(-19) assuming a is positive.\nAnswer: a**(-71041\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/18074144 and 101\/13144832.\nAnswer: 144593152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103745 is divided by 307?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1358447 - 17?\nAnswer: -1358465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001225 to 6 dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a day in hours?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -127676 + 183145. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -158, 2, -58 in descending order.\nAnswer: 2, -58, -158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 8 = 1. Let h be (1\/2)\/(1\/(-2)). Let w(l) be the second derivative of -l**3\/3 + 3*l**2\/2 + l + 55. Let a(p) = -1. Give c*a(v) + h*w(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 65310678 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 45 + -31. Suppose 1551 = k*p - 3*p. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 3. Let i be l(6). Let q = 15 + i. What are the prime factors of q\/8 - (-14)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 771622?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 47 - 35*n - 173 - 67 - 3*n - n. Determine k(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - g + 5*g = -20, 5*g = b - 1 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2422478 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-2) - (-25)\/(-10). Let g be x + (-10)\/(-4)*2. What is the greatest common factor of 27 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-2))\/((-45)\/(-30))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 62472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13083950 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/130468 and -1\/104.\nAnswer: 260936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 563, 474, 347, 188, 3, -202, -421, -648?\n\"Answer: k**3 - 25*k**2 - 21*k + 608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1482307 to the power of 1\/3, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -19047008.\nAnswer: 5\/19047008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1321.712 litres in millilitres?\nAnswer: 1321712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*m + 16 = -8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1766537 divided by -2.\nAnswer: -1766537\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-3)\/(-21) - 193968\/(-112)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**4 - 2*f**4 + f**4 + (-4 + 4 + 2*f)*(2*f**3 - 2*f**3 + 2*f**3) + (2*f + 2*f + 0*f)*(-f + 2*f**3 + f).\nAnswer: 14*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-17 - -2)*18\/(-5). Suppose -8*y + 189 = 45. What is the greatest common divisor of m and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4*j**2 - j. Let c be f(1). Suppose -c*p = -p - 44. Calculate the remainder when p is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5542.\nAnswer: 2, 17, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9900 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2799 - 16643\/6. What is the common denominator of q and 29\/22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.276047 take away 22.3?\nAnswer: -20.023953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o. Let a be ((-3 - -1)*1)\/(-1). Let c be m(a). Solve 0 = n - 5*t + 7, -6*n - 4 = -5*n - c*t for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23789 or -23786?\nAnswer: -23786","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w - 11. Let m be j(-5). Let z = 554 + -554. Sort -3, m, z, -8 in descending order.\nAnswer: m, z, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w**2 + 80*w + 49. Let g be m(27). Let h = -14 - 6. Let d = h + g. Solve -d*t = t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -656*b - 2190 = -19810 - 6652 for b.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.089, -52, 23 in increasing order.\nAnswer: -52, 0.089, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/sqrt(2)*-1)\/(sqrt(7) + -5*sqrt(7)*1).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236*h + 3 = -239*h. Put 2, -3, h in descending order.\nAnswer: 2, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4500*u**2 + 22 - 22 + 77*u**2 + 109*u**2 as m + i*u + g*u**2 and give g.\nAnswer: 4686","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 32009, 32007, 32005, 32003, 32001?\n\"Answer: -2*i + 32011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 429691 is divided by 4014.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 668745 is divided by 41.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 4 (c) 2\/371 (d) 2 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.834299547 and 155.326.\nAnswer: 153.491700453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(12) - (sqrt(12) + 2*sqrt(12)))\/sqrt(4) + sqrt(27) + 2 + (0 + sqrt(243) - sqrt(3)*1*1))*-3)**2*6.\nAnswer: 1944*sqrt(3) + 13338","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + h = -4, 4*c - 2*h - 3*h - 20 = 0. Let r = 5.06 + -0.06. Let j = 0.0715 - 0.1715. What is the nearest to c in r, j, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3332.834 - 3381.9. Let n = o + 0.066. Let g = 49.0092 + n. Round g to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2 + 135*h + 1392.\nAnswer: 3*(h + 16)*(h + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 5:19 PM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -803, 0.2, 5, 3, 181\/4, -3 in decreasing order.\nAnswer: 181\/4, 5, 3, 0.2, -3, -803","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2346 - 5?\nAnswer: 2341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(540\/16)*10\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -64*i - 2. Give z(-1).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/10*(-16)\/12?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((-5)\/(-25))\/((-7)\/(-175)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3592355210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + ((-375)\/250)\/(30\/(-368))?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 802 * 0.4.\nAnswer: 320.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3467\/22377 or -1?\nAnswer: 3467\/22377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*w**2 + 106*w**3 - 823*w**3 - 163*w**2 - 18*w**2.\nAnswer: -717*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16435 - -17225. What is the highest common divisor of o and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -5*f + 10, 6*f - 8*f + 9 = -3*m. Solve -5 + 14 = -f*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1, -60, -229, -560, -1107, -1924?\n\"Answer: -9*z**3 + 2*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 13908, 13897, 13876, 13839, 13780, 13693?\n\"Answer: -f**3 + f**2 - 7*f + 13915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 516*w**3 + 576.\nAnswer: 1548*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3772089 and 964953.\nAnswer: 41492979","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38 + -27. Let l = -2 + j. Suppose 0 = l*a - 5*a - 28. Calculate the remainder when 16 is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-75)\/60)\/(0 + 3\/84). Let d(m) = 5*m + 17. Let p be d(-11). Are p and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*m**5*y**3 + 57*m**4*y - 2*m**2 + 1886*m*y**3 - 41*m*y**2 wrt m.\nAnswer: 360*m**3*y**3 + 684*m**2*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -c**4\/4 + c**3\/3 + c**2\/2 - 1. Calculate the lowest common multiple of (54\/(-9))\/(4\/(-6)) and t(-2).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.01, -7, -2\/13, 0.5, -87?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1331.4 + -1333. Which is the fourth smallest value? (a) 0.4 (b) t (c) 16 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -n - 0*n. Suppose 4*y = -5*k + 67, -2*y + 2*k + 32 = 6*k. What is the greatest common factor of y and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1547 divided by 15\nAnswer: 1547\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11644808 is divided by 30.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12 + 41817?\nAnswer: 41829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 542 bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hrmemrememhm. What is prob of picking 1 e, 1 r, and 2 m?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16.6 + 68.\nAnswer: 51.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 + 73 = -13*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*t - 16*t - 354. Suppose w = 2*p + 8 - 95, 0 = -4*p - w + t. Does 6 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 12:20 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -0.34\nAnswer: -0.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m*m**(2\/3)\/m*m))\/m*m)**17\/(m**2)**(-2\/7)*(m**0\/m)**(2\/13)*(m\/m**7)\/m**3 assuming m is positive.\nAnswer: m**(-10078\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 458945681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from 406875.\nAnswer: 406879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**12\/d**(-1\/27))\/(d\/(d\/(d\/(d*d**(-2\/9)\/d)*d)))**19)**(2\/13) assuming d is positive.\nAnswer: d**(-1630\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 118856\/135 + 9716071\/4590. Let u = -2997 + x. Let r = u + -199\/306. Sort r, 1, -0.1.\nAnswer: r, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -8 - -11 - (-27 - -5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/6 - 103*m**2\/6 - 41*m + 900.\nAnswer: -(m - 6)*(m + 9)*(m + 100)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 10:29 PM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 62069745 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/((6\/2)\/(-3)). Let a be (0 - d)*(-4)\/8. Suppose 5*x + 4*f - 26 = 0, a = x + 9*f - 4*f - 1. 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: Does 160 divide 913428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 i when four letters picked without replacement from iffiiyifyfiff?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55229*z**2 - z**3 + 55229*z**2.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -496589, -1986297, -4469125, -7945079, -12414165?\n\"Answer: -y**3 - 496554*y**2 - 39*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = j + 25, 7*n + 5*j = 4*n + 43. Suppose -6 = n*g - 18. Solve 3*d + 4 = -g for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 374*b + 1247*b**3 + 1253*b**3 - 3742*b**3 + 13*b**2 + 1243*b**3 to the form j + w*b**3 + t*b + n*b**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 24531578 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.0047 * 0.5\nAnswer: -0.00235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-4))\/((-105430)\/19464)\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 125864067 to the power of 1\/2, to the nearest integer?\nAnswer: 11219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0087751096 to 4 dps.\nAnswer: 0.0088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 64\/17*v**3 + 2\/17*v**4 + 208\/17 + 330\/17*v**2 + 28*v = 0.\nAnswer: -26, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(720) + 1.\nAnswer: -24*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3756161, 7512529, 11268897, 15025265, 18781633, 22538001?\nAnswer: 26294369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z + 84 + 714. Let y = 139 - z. Let x(s) = 11*s**2 + s - 1. Let c be x(1). Solve -2*q = -j + c, -j + 1 = -q - y for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65778960*c**3 + 32889448*c**3 + 32889511*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 9*m + 77. Give s(-13).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 5*f**2 - f - 10. What is u(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -15?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-1 + 264\/84.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k**2 - 40649 - 3*k**2 + 20460 + 20405 to a*k + c + v*k**2 and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.537 - -0.023. Round q to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0861*0.5\nAnswer: 0.04305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 2*l + 170 = -2*z, 4*l = -2*z - 164. Let t = -84 - z. Solve 3*q + 4 = -5*b, t*q = q + 2*b + 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 2*i = -16. Let d be (5\/2)\/((-4)\/i). Is -4 less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f + 1. Let q be u(4). Let o = q + -10. Let t = o + -4. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-21*n**2 + 32*n**2 + 26*n**2)*(4*n - 4*n + 6*n) - 3*n + 3*n - 2*n**3)*(5*n - 2*n + 0*n + (-6 + 3 + 2)*(-2*n + 0*n + 0*n)).\nAnswer: 1100*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 e when two letters picked without replacement from {e: 11, n: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 6*(sqrt(1573) - sqrt(1573)*3))**2.\nAnswer: -792*sqrt(13) + 226521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, b: 6, v: 3}. Give prob of sequence bv.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lj when two letters picked without replacement from {c: 4, v: 4, j: 4, l: 2, f: 1, q: 4}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2*((sqrt(99) + 3)**2 + sqrt(11)) + 3).\nAnswer: -1095 - 190*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 744, 3930, 9242, 16680, 26244, 37934?\n\"Answer: 1063*x**2 - 3*x - 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27718 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2. Let a(p) = p**2 - 55*p. What is m(a(q))?\nAnswer: -q**4 + 110*q**3 - 3025*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41983*m**2*y**2 + 3*m**2*y + 19*m**2 - 5716*m*y**4 + 67405*m*y + 2*m + y + 6 wrt y?\nAnswer: 83966*m**2 - 68592*m*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 398529672 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 1 = 5*a + 25, 2*a = 2*z - 24. Suppose -48 = -3*w - w. What is the greatest common factor of z and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 81\/54 + (-23)\/2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 = 5*y - 2*n - 594, 4*y = -3*n + 359. Let t = y - 66. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 0 - 10 = 0. Let z be -2 - 7\/(-2) - u. Let c be 3\/(2 + -3 + 0). Sort c, 5, z in descending order.\nAnswer: 5, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -240.91848 + -18.5868. Let m = r - -246.506. Let v = -13 - m. What is v rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 4 (b) 1\/3 (c) -7 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -781117975 - -548296.\nAnswer: -780569679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -22631, -2\/13, 1\/48?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*s**3 - 1318763*s**2 + 659354*s**2 + 659409*s**2.\nAnswer: 68*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3513 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3264*u - 1693*u - 1602*u.\nAnswer: -31*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) 2\/13 (c) 100 (d) 94\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 9*n + 5. Let m be (279\/62)\/(2 + 15\/(-12)). Let h be a(m). Solve -d - 3*y + 8 = -2*y, -4*d = y - h for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 533 in -0.3, 10\/37, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1393 or -1\/96?\nAnswer: -1\/96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21138, 42177, 63204, 84219, 105222, 126213, 147192?\nAnswer: 168159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1604\/5, -2\/3, -0.16, -4, 0.2 in decreasing order.\nAnswer: 1604\/5, 0.2, -0.16, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4155 + 4101.74. Let r = o + -1.44. Let h = 61 + r. Round h to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3228813 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -8*z + 4. Let y = 694 - 691. Calculate d(y).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 7*x**2 - 2499*x - 39087. Determine i(-15).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 10*k**2 + 1. Let m be d(-1). Suppose 0*a + a = m. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 75 + -135. Let v be (0 - 4)*9\/u. Which is the smallest value? (a) -0.3 (b) v (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 n when three letters picked without replacement from dfffnyntf.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -446, -2, 20, 4, -4, 10 in descending order.\nAnswer: 20, 10, 4, -2, -4, -446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -561, -804, -1067, -1332, -1581?\nAnswer: -1796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17173 = 2*w + 11*w. Is w a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38734 or 38735?\nAnswer: 38734","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.4359 decades to years.\nAnswer: 774.359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -79 + 88. What is the greatest common divisor of 3 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3270 * 5\nAnswer: -16350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -454.71688 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 1\/3 (b) 6\/29 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 m when two letters picked without replacement from {f: 1, g: 2, m: 1, i: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.5 - 0.8. Let z = f - 2.1. Let m = z + -1.03. What is m rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -d + 5*h, 4*d + 13*h + 37 = 18*h for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 50?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wt when two letters picked without replacement from hwwhwwthwh.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -15, -2, 2, 4, -6\/107, 1, -39?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(10)\/sqrt(5)*-1 - (sqrt(36)\/sqrt(2) - (sqrt(162) - (sqrt(162) + sqrt(162)*2)))**2) + 4 + -5.\nAnswer: -883 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qw when two letters picked without replacement from wqwqqwqqqzqwzqw.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -0.16331 (c) -2 (d) 2\/21 (e) 3\/5 (f) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 69 - 48 = -4*a, 0 = 5*z - 5. Suppose -a + 113 = -4*u. Is u greater than -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 448107614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1368911378 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*z**2 - 49*z**2 + 22*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.16 + -0.17. What is the nearest to u in 0.2, 1, 4, 4\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -751, 5.\nAnswer: -751, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 227003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2461 - -0.246103976. What is n rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34152.06 millilitres to litres.\nAnswer: 34.15206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 7 = 3*d. Suppose a + i + 14 = d, i = -5*a - 57. Let r = 15 + a. Calculate the lowest common multiple of r and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -83140, -166307, -249472, -332635?\n\"Answer: m**2 - 83170*m + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 1)*1*1456\/624.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 333333.833 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 585 + -81. What is the least common multiple of y and 48?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (35\/25 - 1)*75\/3. Let m(p) = -4*p + 0*p + h*p + 2 - 7*p. Let g(k) = 2 - 3 + 5*k - 4*k. Give -2*g(y) - m(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3360)\/(-3300) + 2\/11.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147172057.\nAnswer: 2711, 54287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2210011001121200 - -21?\nAnswer: 2210011001121221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11314183 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -153b357 (base 12) to base 13.\nAnswer: -b7c7c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 != 46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -339894 and -36?\nAnswer: 12236184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four thirds of a minute?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*i + 3*i - 8*i)*(4*i - 2 + 2) - i**2 + 2*i**2 - 3*i**2 as j*i**2 + y*i + o and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of -p**4\/6 - 7*p**2. Let v(c) = 3*c**2. Determine x(v(n)).\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -71, 5, 0, -3, -6 in decreasing order.\nAnswer: 5, 0, -3, -6, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10200 = -n + 7*n. What is n rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 6*k**2 + 0*k**2 - 13*k**2 + 7*k**2 + k**2. Let q(x) = 118*x. Determine v(q(u)).\nAnswer: 13924*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10223 - -132147.\nAnswer: 121924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(20\/96)*-1. Let k = 26 + y. Suppose 0 = k*l - 2169 - 7691. Round l to the nearest 100.\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x - 7*x + 4*x. Let l(u) = -15*u**2. Determine l(w(y)).\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 5550 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllwoillwdwrrol. Give prob of sequence dw.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 425128*w**2 - 9*w + 16. Let u be f(14). Let z = -3333277343\/40 + u. Let y = z + 6956. What is the common denominator of y and -59\/14?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 0. Find the common denominator of ((-119)\/21)\/(b\/8) and 59\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y**4\/7 + 114113*y**3\/7 - 361557473*y**2\/7 - 1005283117*y\/7 + 241249686\/7 = 0. Calculate y.\nAnswer: -3, 2\/9, 6341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 12*i**2 - 17*i + 54. Let w be o(13). Let n(q) = -5*q + 3*q + w*q - q. Let s(y) = -4*y**2 + 4*y**2 + 16*y**2. Determine n(s(b)).\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2483547?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 9*a**2 - 16*a - 8. Let c = 45 + -52. What is the remainder when (-25)\/2*4\/(-5) is divided by w(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8136 and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*p + 47 = -144 + 411 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 167598461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (57 + -8 + -5)\/(-1 + (-2)\/2). Let n(t) = -t**3 - 23*t**2 - 24*t - 40. Give n(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o. Let i(h) = 80*h + 9. Let u(y) = 7440*y + 840. Let x(c) = 560*i(c) - 6*u(c). Calculate x(s(k)).\nAnswer: 640*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5022944833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 2*c**2 + 2*c. Let h be t(-3). Let y(r) = 2433336*r - 8. Let s be y(h). Round s to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*a + 53*a - 24*a)*(-3 - 3*a + 6 - a).\nAnswer: -16*a**2 + 12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.1, -3, -12, 0, -25?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 - (70 + 13 + -24)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 19.0264424 and -0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 1:05 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**3\/11 + 13203*p**2\/11 - 44044728*p\/11 + 3060977276\/11 = 0.\nAnswer: 71, 6566","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 77571?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5776668071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45*-0.2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 223 = 4*l - 10, -3*l + 0*l = 4*o - 181 for l.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l - 2 + 26 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1112202 + -2220?\nAnswer: 1103322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -212102 - 1320?\nAnswer: -213422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/264 and 79\/220.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 283377?\nAnswer: 3, 59, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 1819, 3, -4, 32 in decreasing order.\nAnswer: 1819, 32, 4, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6968)\/(-60) + 22\/(-165). Let p = 117 - t. Suppose -4*x - 10 = 5*l, 2*x - 25 = l - 9. Sort p, l, 3 in increasing order.\nAnswer: l, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17734643 to the power of 1\/3, to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 + 16. Is (20\/(-6))\/(u\/36) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2754, 2724, 2672, 2598, 2502, 2384, 2244?\n\"Answer: -11*k**2 + 3*k + 2762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1041, -3, 5, 0, 96 in increasing order.\nAnswer: -1041, -3, 0, 5, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 2 + (-4 + 2 + 4)*(0 - 4 + 3) - 4 + 1 + 5 - 1 - 4 + 2)*(-2679*q**3 - 1013*q**3 + 689*q**3) in the form j*q + g*q**3 + n + h*q**2 and give g.\nAnswer: 12012","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**5\/3 - 7*a**4\/3 - 3*a**3 + 23*a**2\/3 + 50*a\/3 + 8 = 0. Calculate a.\nAnswer: -4, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -140 - -135. Let l(r) = -89*r + 33. List the prime factors of l(j).\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 7*h**2 + 8*h. Let w be s(8). Solve -o - 2 = 3*a, 2*a + 18 = -w*a - 4*o for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5837615mm in kilometers?\nAnswer: 0.0000005837615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddcfddccdfddcc. Give prob of picking 2 f and 2 d.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 239 - -685\nAnswer: 924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/6468?\nAnswer: 1\/6468","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*l + 2. Let y be (-272)\/l - (0 + 1). Suppose -25 = -4*g + y. Calculate the remainder when g is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 917020?\nAnswer: 3668080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -65587, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert cf0 (base 16) to base 7.\nAnswer: 12441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gdzd when four letters picked without replacement from grnghrrrzdhd?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c**3 - 7265*c**2 + 227195*c + 234465 = 0. Calculate c.\nAnswer: -1, 33, 1421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**2 + 2*m**2 - 2*m**3 - 6 + 8 - 3*m in the form t*m**2 + l + i*m**3 + u*m and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**2 - 2*q**3 - 4*q**2 + (103212*q + 248*q**2 - 103212*q)*(2*q - 3*q - 3*q).\nAnswer: -994*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 smaller than 4098\/3527?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*r - 20*r = 30*r - 294 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 14, 3*k - 3*b - 45 = -12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/1305 and -139\/40039140?\nAnswer: 120117420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1299675*s*x**3 - 4877250*s*x**2 - s - 5*x**3 wrt x?\nAnswer: 7798050*s - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f + 21. Let i = -306 - -315. Suppose -4*w = 3*r - 1, -2*w + 46 = -5*r + 13. Let s(c) = c - 10. Calculate i*s(x) + w*h(x).\nAnswer: x - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 171682789 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + v - 158942, 3*n - 5*v - 9692 = 85690. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 15 = -7*r. Solve 2 = -2*t + 2*q, -2*t + r = 2*q - 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 10*u**2 + 7*u - 11. Let s(g) = -g**2 + 5*g + 17. Suppose -27 = -4*d + x, 5*d + 12*x - 40 = 7*x. Let a be s(d). Is j(a) a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1871, -3752, -6827, -11102, -16583, -23276?\nAnswer: -31187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -66.6 and 2.3.\nAnswer: -153.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u + 2. Let z be (-16)\/72 - (-436)\/18. Suppose 3*n + z = 7*n + 2*l, -3*l = n - 6. Suppose 4*w - w + n = 0. What is m(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2503 is divided by 1747.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6*2 + (-22 - -14). What is the third derivative of -102*w**6 + 0*w - u*w + 2*w + 378*w**2 + 3*w - 369*w**2 + 2*w**5 wrt w?\nAnswer: -12240*w**3 + 120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) -2 (b) 2\/9 (c) 2 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 23*c - 28*c + 346190, 4*h - 276951 = -5*c. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z + 5*a + 44, 70*z - 72*z = 2*a + 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uxuxuxxececeuuxxex. Give prob of picking 1 x and 1 c.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -1\/6*d**5 + 7\/6*d**3 - 1\/72*d**6 + 0*d**2 - 5\/8*d**4 + 0 + 28*d. Let o(h) be the second derivative of c(h). Solve o(t) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*i = 179 + 173 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 28*u**2 + 6*u. Let c(i) = -85*i**2 - 18*i. What is -2*c(b) - 7*n(b)?\nAnswer: -26*b**2 - 6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wffooowoffwwwwww. Give prob of sequence ffo.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -7. Let t be (3\/(-30))\/(d\/12). Let w = 0 - -3. Which is the closest to -1\/3? (a) t (b) 1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/14)\/(3 - (-2485)\/(-833)). What is the nearest to 0.2 in 1\/7, 3\/4, -0.5, z?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xaxaaxxxaaxxaaaxaaxx. Give prob of sequence aaaa.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -278904085 and 499691.\nAnswer: -278404394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (17832\/(-15))\/((-216)\/810)?\nAnswer: 2, 3, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -11*i + 102. Let k be l(8). Solve d + 13 = k*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -12530, -12516, -12502?\n\"Answer: 14*d - 12544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 2 + a - a + 0*a. Let r(b) = b**2 + b - 1. Let f be 14 + 6 + -18 + 2\/(-2). Calculate f*n(l) - 2*r(l).\nAnswer: -3*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - s + 0*s = 11, 3*p - 3*s - 15 = 0. What is the fourth smallest value in 0.4, 1\/11, p, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.28 and 65815?\nAnswer: 65816.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 55565196 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 170528*k + 87. Is c(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15930 and 83013.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -30, -190, -468, -870, -1402, -2070?\n\"Answer: -z**3 - 53*z**2 + 6*z + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*y - 5504 = 127*y + 103*y for y.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 12*x - 128 = 0. Let o = -120 + 168. Calculate the highest common divisor of o and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5 (b) -0.1 (c) 0.5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2019 + 2034. Calculate the highest common factor of d and 1005.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 7*g - 5. Determine o(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j = -10*j - 3*t - 2, -j = -2*t - 8. Suppose -287 = -r - j*b, 3*b - 5*b - 4 = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5383029070?\nAnswer: 2, 5, 8629, 62383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167290*l = -166353*l + 53409 for l.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**2 + 65 - 65 - 2*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-seven quarters of a kilogram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 2*d + 7. Let y(h) = h**2 - 6*h - 5. Let u be y(d). Suppose 0 = -4*p + u*j + 3708, p - 157 - 784 = -3*j. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/3)\/(2\/(-10)). Suppose -22 = -z*q + 3*q. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3344, 13378, 30106, 53534, 83668, 120514, 164078, 214366?\nAnswer: 271384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 55456 (base 13) in base 7?\nAnswer: 1212355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41 + -5. Let p = s + -35.9999993. What is p rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 224435 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -10*g + 69. Let l(m) = 6*m**3 + m**2 + 1 - m - 4*m - 2*m**3. What is the remainder when l(g) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -4. Suppose -d = 5*z - 49, 0*z + 2 = j*z - 4*d. Factor -3*f - 6*f**4 + 3 + z*f**2 - 3*f**2 + 3*f**5 - 3.\nAnswer: 3*f*(f - 1)**3*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.332*-2.\nAnswer: 0.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmyymymymsmsssxmsm. What is prob of sequence xy?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4405718893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 7. Let x = 62\/17 + -254\/51. What is the third smallest value in x, 0, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 15802822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l + 8*l - 4806*q - 4804*q + 9611*q = -2, 108 = -13*l - 4*q for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -3*v - 0*v + 1800 - 1780, 3*x + 5*v = -12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 - (-22 - (-4 + -8))) + (-5 + 1 - -96)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 28 = -3*a + a, 2*c + 3 = 3*a. Suppose -w + 0*w = -c. Calculate the remainder when 29 is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 64 + 12. Does 4 divide f\/(-117) - 1518\/(-27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) 2\/5 (b) -1\/6 (c) -613\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 * -0.246565\nAnswer: 0.0147939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -3*q - 1 + 13, 8*q - 1189*h - 33 = -1192*h for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 1076 = -324. Let g be m\/(-637) - (-2)\/7. Sort 3, 0, g.\nAnswer: g, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19841, 19699, 19457, 19115, 18673, 18131, 17489?\nAnswer: 16747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 7*y**2 + 4*y + 9. Let i be z(6). Let m = 10 - 9.8. Which is the third biggest value? (a) -0.1 (b) m (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of f**6\/30 - 3*f**5\/20 + f**4\/12 + f**3\/2 - f**2 + 8*f. Factor w(s).\nAnswer: (s - 2)*(s - 1)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 214336 and 952?\nAnswer: 1500352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -25*w + 1. Suppose 9*x + 120 - 129 = 0. Give z(x).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 24577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5643839, 5643272, 5642703, 5642132, 5641559?\nAnswer: 5640984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(36\/606) - 3\/(-18). Let w = 230 - -8. What is the greatest common factor of w and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - k - 997 = 0, -k - 4 = -2. Suppose -14*s + u = -25. Is 5 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in -41, 0, 2\/15, -0.5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 234 and 1014.\nAnswer: 3042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z - 1284*z**3 + 162*z**3 - 507*z**3.\nAnswer: -1629*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 13283 * -810\nAnswer: -10759230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1745 divide 3628015818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/9 and 103\/167436.\nAnswer: 167436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 c when four letters picked without replacement from cwwwcwwcwwwwwwwwcw?\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -171 + 167. Let v be -1 - (-2)\/(8\/6). Which is greater: v or a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**2\/6 + 8568323*y\/6 + 8568325\/3 = 0. Calculate y.\nAnswer: -2, 8568325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 41 = -5*z, 0 = -3*z + 5*w - 1 + 7. Let i(h) = h**3 - 7*h**2 + h - 3. Let p be i(z). Solve 3*s = -p*n + 3*n - 2, -4*s + 2*n - 16 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7202, 7313, 7498, 7757, 8090?\nAnswer: 8497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -0*i + 2, 4*i - 8 = -4*f. Let b be 5 - (-2 + 2 - 1). Let x = b - f. Calculate the smallest common multiple of 3 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -152201 (base 6) to base 12.\nAnswer: -8661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/2676 and 57\/114622.\nAnswer: 687732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of 0*n + 7*n**2 + 2\/15*n**3 + 1\/15*n**4 - 2\/525*n**7 - 1\/75*n**6 + 0 + 0*n**5. Factor v(f).\nAnswer: -4*(f - 1)*(f + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 1637\/51, -1?\nAnswer: 1637\/51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**3 + 2. Suppose -5*j + 119 + 6 = 0. Let t be (12\/(-15))\/(1*(-10)\/j). What is p(t)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p + 31\/2*p**2 - 19\/2*p**4 - 3\/2*p**5 - 1\/2*p**3 - 6 = 0.\nAnswer: -6, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0414 - 256.\nAnswer: -255.9586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b0c2a6 (base 14) to base 7.\nAnswer: -101366366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*x - 3 = 0. Let b = -1 + x. Let i(c) = 2*c - c - 65 - 2*c + 64. Give i(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07254 * 0.1\nAnswer: 0.007254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 690 and 552.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 1818*y**3 + 5. Let x(s) = 9087*s**3 + 24. What is -24*g(b) + 5*x(b)?\nAnswer: 1803*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -15.94*729\nAnswer: -11620.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 215426952 and 188498583.\nAnswer: 1507988664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllbbbllblbblllllll. What is prob of picking 2 l?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((16\/(-102))\/(-8))\/((-2)\/12)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**2 + 2*b - 2. Let k(n) be the third derivative of n**5\/20 + n**4\/8 - n**3\/2 + 2*n**2. Let o(s) = 7*c(s) - 5*k(s). Suppose -5*i = -3*i. Give o(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 6695554, -13.\nAnswer: -13, 4, 5, 6695554","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 15. Sort -1, d, 4 in descending order.\nAnswer: 4, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102156667 less than 0.3?\nAnswer: -102156666.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 5*m + 64191 + 70584, m + 2 = 0. What are the prime factors of x?\nAnswer: 26953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 625\/10*4\/(-14)*(-28 + 35). Let k be (148\/(-10))\/((-2)\/(-10)). Let b = r - k. Does -50 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 2:56 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -29.1, -12, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -4*v**3\/3 - 1210. Let n(b) = -b**2 + 45. What is n(p(j))?\nAnswer: -16*j**4 + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h + 0*h**2 - h**2 + 3*h + 4*h**3 - 5*h to a*h**2 + n + u*h**3 + i*h and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 = 4*a - 2*a. Suppose q - 4 = -3*q, 0 = i + 3*q - a. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/4 of a microsecond in nanoseconds?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 467074486 and 2708?\nAnswer: 1354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3749, -5, 3, 5, -3\/7, 4 in descending order.\nAnswer: 5, 4, 3, -3\/7, -5, -3749","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 7.5. Let y = -0.16 - -2.16. Let h = y + w. Which is the closest to 0.1? (a) 1 (b) 3\/4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 202742 and 263058.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 198 + -163. What is the second derivative of 8926 - 8926 - p*w - 63*w**2 wrt w?\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence znj when three letters picked without replacement from lnlzznnzlzljllzzlzd.\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1227 is divided by 127?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v + 5. Let k(o) = -42*o + 6. Give -k(w) + 3*l(w).\nAnswer: 39*w + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1\/6 (b) 2\/7 (c) 1202\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17238*m + 9429*m + 5445*m - 8319*m.\nAnswer: 23793*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.308, -10400, -3.\nAnswer: -10400, -3, -0.308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 - 8*x + 19*x - 31103 - 13174 - 11*x.\nAnswer: x**2 - 44277","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -247*j - 29 = -276. Sort -112, -7, j, 0 in descending order.\nAnswer: j, 0, -7, -112","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddpp. What is prob of sequence pdd?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12463?\nAnswer: 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 447 - 225. What are the prime factors of n?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*n + 11 + 22. Put -2, -15, 5, n in increasing order.\nAnswer: -15, n, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.265839 centuries to millennia.\nAnswer: 0.5265839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 2\/7, -3, -44, -0.2, -31438, -0.5, 2?\nAnswer: -31438","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*g**2 + 229*g**2 + 3*g - 3*g + 4*g**3 - 40*g**2.\nAnswer: 4*g**3 + 238*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 34*p + p**2 + p**3 - 38*p + 0*p**2 + 3. Let a be r(2). Solve -a = m - w + 5*w, 5*w + 20 = -5*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 282 divided by 5\nAnswer: 282\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*w**2 - 2*w**2 + 5*w**2 - 5*w**2 - 30*w**2.\nAnswer: -146*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -88010955 divided by -3\nAnswer: 29336985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -711403.\nAnswer: -71140.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/4 - -2) + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1411 and 67881.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.18573 + 0.13573. What is the closest to g in -0.9, 0.1, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -94514 (base 11) in base 15?\nAnswer: -2ac0d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + g - 12 = 0. Suppose 0 = 2*t - g. Suppose 5*q - 24 = 3*k + t*q, 5*k = -3*q - 8. Sort -3, 5, k in ascending order.\nAnswer: k, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2952 and 51?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -155*0.03\nAnswer: -4.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 4*t + 5. Let u be a(2). Solve -2*v - u = -3*d + 4, -v + 1 = 4*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -312 - -304. Which is the third biggest value? (a) r (b) 2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/12, 493, -3, -0.17?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 * 13.\nAnswer: 1.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 57420 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24\/11 + -194\/99. Factor 2\/9 - 2\/9*t**3 + a*t - 2\/9*t**2.\nAnswer: -2*(t - 1)*(t + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 87, 1 in ascending order.\nAnswer: -3, 1, 3, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0247 and -1.852.\nAnswer: -0.0457444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 676*n - 24371 = 12809 for n.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.33139678 to 1 decimal place.\nAnswer: -13.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 351000 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2467, 5257, 8047, 10837, 13627, 16417?\nAnswer: 19207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5*k = 30. What are the prime factors of 46 + k - 2\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w**2 + 103*w + 239. Let g be q(36). Calculate the greatest common divisor of g and 10325.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -224, -204, -176, -140, -96?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 476 is divided by 122.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**4)**(-23\/4) assuming r is positive.\nAnswer: r**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35 + 37. Suppose -2*u - 10 = -3*o - n*o, 3*u + 4*o = 31. Solve 0 = -3*c - u - 7 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38605?\nAnswer: 5, 7, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f - 7. Let j be x(3). Let l = -5 - j. Let z be (-2)\/5 - (-42)\/(-45). Which is smaller: z or l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 77 + -78. Let k = -24\/7 - -20\/7. Let l = -662\/5 - -133. Which is the nearest to k? (a) y (b) -3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110424123 (base 5) to base 8\nAnswer: -1657336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 6*l - 1 + 3 + 0 + 2*l. Let c be b(-5). Let x = c + 56. What is the remainder when 34 is divided by x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11947615297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0\/(l\/l**(1\/3)))**(-2\/7) assuming l is positive.\nAnswer: l**(4\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*w**2 - 17*w**3 - 3*w**2 + 6*w**3 wrt w.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1042494 is divided by 27434.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -428, -818, -1168, -1478, -1748, -1978, -2168?\n\"Answer: 20*p**2 - 450*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (250\/(-175))\/(1*12\/(-21)). What is the nearest to k in 9, 2, 1, 2\/13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -12564, -25147, -37736, -50331?\n\"Answer: -3*d**2 - 12574*d + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3807 divided by 5\nAnswer: 3807\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.383 - -23.683. Let m = 25 - l. Round m to 1 dp.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3339?\nAnswer: 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 567*c**3 + 8 - 662*c**3 - 10.\nAnswer: -95*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 8 - -10) + -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 4. Let h be 26 + 2*(-3 - c). Suppose 3*k - 3*r = -k - 3, -r = -k - 2. Calculate the highest common divisor of k and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 9, m: 5}. Give prob of sequence mbmm.\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 2 + 15\/15. Let n(l) = 3*l**3 + l**2 - 4. Let a be n(p). Find the third derivative of 24*m - 44*m**2 + 20*m**4 - a*m - 2*m**2 wrt m.\nAnswer: 480*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from niniii?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1849 - -1851. Solve 5*d - 4*o = 2, o + n = d + d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3177 - -3565. Calculate the remainder when a is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rlu when three letters picked without replacement from xrxrxurlrr?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.26822971 to 4 decimal places.\nAnswer: 0.2682","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1381 is divided by 1381.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/108 and 11\/44 - (-1)\/36?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -4*d - 6. List the prime factors of u(-12).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1624402356?\nAnswer: 2, 3, 31, 4366673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 4 = 5*u - 5*d, -4*u - 2*d + 34 = 0. Let z = u - 2. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 31 and (26\/(-52))\/(2\/(-5332)).\nAnswer: 1333","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - 2*sqrt(3) - sqrt(3))*4 + -4.\nAnswer: -8*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 406933231 to the power of 1\/5, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-28)\/(-16))\/((-2)\/(-8)). Let a = r - 4. Put -2, a, 4 in decreasing order.\nAnswer: 4, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/100 and 109\/180?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13193169911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 691799023 to the nearest integer?\nAnswer: 884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 1 = 3. Let r be (x\/(-1))\/((-4)\/8). Suppose 82 = 3*b - 2*d, d + 2*d - 46 = -r*b. List the prime factors of b.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 39083050*g**2*h - 2*g**2 - 46*g - 123068 wrt h?\nAnswer: 39083050*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.3346 + -1.31. Round o to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/35)\/g**(12\/11) assuming g is positive.\nAnswer: g**(-409\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 7*p - 6. Let b be f(8). Suppose -16 = -2*d - b*d. Suppose -d*z + 5*z = 0. Solve -2*y - 2*h = -3*h - 14, z = -2*h - 8 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -14*p - 1. Let f(c) = 325*c + 26. Let q(h) = -f(h) - 26*j(h). Let v(y) = -20*y. Determine q(v(s)).\nAnswer: -780*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -4 (c) -24\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 1)*(2*x**2 - 2*x**2 + 2*x**5) - 76*x**3 + 76*x**3 + 3*x**5 - 6 - 2*x**4.\nAnswer: 5*x**5 - 2*x**4 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -40, 3153, 4 in descending order.\nAnswer: 3153, 4, 2, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.0782 - -0.0782. Put 0.6, q, 1, 0.4 in decreasing order.\nAnswer: 1, 0.6, 0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 divided by 74\nAnswer: -25\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hphphhph. What is prob of picking 2 h?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/14)\/(-1*(-9)\/18)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 + 0*y + 0*y)*((-5*y + 2 - 2)*(-4*y**2 + 3*y**2 + 0*y**2) + 2*y**3 + 2*y**3 - y**3) + (4 + 0 - 3)*(-2*y**5 + 2*y**5 - 2*y**5).\nAnswer: 6*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/7)\/((-2)\/28). Suppose -3*i - 9 = 0, -4*i = u*r - 0*r - 40. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v**2 + 4*v**2 - 3*v**2 + (2 + 0 - 1)*(2*v - 2*v + v**2) - 8 + 8 + 24*v**2 in the form q*v**2 + a*v + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 114 and 20?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 608731003.\nAnswer: 1753, 347251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 4*i - 15. What is o(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s + s - s**3)*(-30*s + 18*s + 74*s)*(3 - 4 + 4) to y*s**4 + f*s**2 + i*s**3 + w*s + t and give y.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1253?\nAnswer: 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - -4)*(-66)\/(-110). Suppose -8 = 2*f, -2*f + n*f = -3*u + 5. Suppose 2*l = l + u. Solve -l*k + 8*k = 25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4 + 5 + 1*sqrt(175) + sqrt(175) + (((0 + sqrt(175))**2 + sqrt(175))*-1 - sqrt(175)) + 5).\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k**3 + 34*k - 14*k - 4 - 8*k**2 + 7*k**2 + 3 - 21*k in the form r*k**2 + s*k**3 + l*k + h and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15\/2 - -7. Let z = 3\/64 + -239\/320. Let i = c - z. What is the third smallest value in -1\/7, i, -0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/63 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4 is divided by (-29)\/(-58) - 14\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 5*s = 2, s - 86 = -3*p - 72 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of 350000*k**4\/3 - 2*k**2. Let d be p(1). Round d to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - (-9)\/4 - 2\/8. Put w, -5, 361 in decreasing order.\nAnswer: 361, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 2*j. Let m(t) = t**3 - t**2 - 3*t. Suppose -2*g + 1 = -7. Let d = g - 1. Let l(v) = d*b(v) + 2*m(v). Find the third derivative of l(r) wrt r.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = -3 + 11. Let b be p\/(4\/(-8)) + 24. Let z be (-1)\/(0 - b\/(-4)). What is the biggest value in z, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 4*g - 12*g + 19 + 45. Let l be r(12). Solve -d = m - 4*d + l, 5*d = -5*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, p: 4, r: 3, i: 2}. What is prob of picking 1 q, 1 p, and 1 r?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**5\/5 - 504*l**4\/5 + 15364*l**3\/5 + 32256*l**2\/5 + 16384*l\/5.\nAnswer: 4*l*(l - 64)**2*(l + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3633229, -7266327, -10899425?\n\"Answer: -3633098*s - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 97 and 78280358.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of w**5\/5 + 35*w**4\/3 + 64*w**3\/3 - 136*w**2 + 4*w. Factor v(c).\nAnswer: 4*(c - 1)*(c + 2)*(c + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 7:49 AM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46.5 - 46.3. Let y = 4.84 - 5. Let p = 0.14 - y. Which is the nearest to 4? (a) p (b) -1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24041012\/9 less than 2671224?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 460652270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 14 = -4*p + 5*p, -3*p + 28 = 2*x. Suppose 0 = -a - 2*l + 1 + p, 0 = -2*a + l - 2. Is -1\/3 <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 8.463208cm?\nAnswer: 84632080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/((-3 - (-36)\/8)\/((-6)\/(-4))). Solve 0 = -q - 6*l + 3*l - 8, j*q - 5*l - 40 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20363 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -1\/2, 0.2, -0.1, -6, -98\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**3*r**2 - 1036*f**3*r + 27956*f**3 + 2*f**2*r**2 + 4913127*f*r**2 wrt r?\nAnswer: 2*f**3 + 4*f**2 + 9826254*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -116 - -116.3. Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*p**5 - 128961*p**4 - 1201782*p**3 - 2373546*p**2 + 2002065*p - 357525 = 0. What is p?\nAnswer: -4767, -5, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + b = -j + 36, -27*j + 424 = -10*b - 328 for j.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.16628 - 992.43372. What is l rounded to the nearest 10?\nAnswer: -990","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 9 - 12. Let y = h + 43. Suppose y = 5*k - 13. What is the remainder when 12 is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-10)\/(-3)) + 88\/80.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 1305312.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 56088.9176 to the nearest one hundred.\nAnswer: 56100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5103\/756*(-1 + 1281).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -2\/13 (c) -583\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1396, 2814, 4246, 5704, 7200, 8746?\nAnswer: 10354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + q - 4. Let m(g) = 5*g**3 + 4*g**2 + 2*g - 3. Let a(x) = 17*x**3 + 14*x**2 + 7*x - 11. Let o(v) = 2*a(v) - 7*m(v). Give -b(i) + 2*o(i).\nAnswer: -3*i**3 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 126 + 2\/(-1) - 4. Suppose 5*b - b = x. Suppose a = -5*t + 20, 0*t + 2*a = 4*t - b. Solve 15 = -t*j + 2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 376 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5 = 1. Suppose t*b - 3441384 = -16341384. What is b rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 1\/4 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = 41*d + 15*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (1 - ((-19 - -53) + 10))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -332*n**3 + 12*n - 3.\nAnswer: -1992*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - 6\/(-18)*-12 - 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3590*l**2. Let f(s) be the first derivative of -s**3\/3 + 1864. Give d(f(t)).\nAnswer: -3590*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5274.\nAnswer: 2, 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {b: 1, n: 3, z: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-34)\/51)\/((-19)\/27 + 24\/36). Solve f*x - 280 = -22*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 10110021101?\nAnswer: -10110021110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2090 - 3648. Let l = -376 - s. Suppose -5*u + 2*b = -2931, l = -0*u + 2*u + 4*b. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 1 - 16*t - 6.\nAnswer: -16*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-18) + (-1972)\/(-24) + 0. Let c(l) = -5*l**2 - 2*l + 4. Let t be c(3). Let z = i + t. What are the prime factors of z?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -4, 0*i - 3*a - 6 = 3*i. Let l = -560\/9 - -62. Which is smaller: l or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 530 is divided by 139?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (110 - 166)*6\/28*-68. Calculate the highest common factor of 17 and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + z. Let x be o(-1). Suppose x*g + g - 10 = 0. Is g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15)\/(-9) + 1\/3. Suppose -g*c = 5*f - 5427, -2673 - 577 = -3*f + 5*c. Let a = f - 498. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s + 2*s - 2*s - s - 2*s + 5*s + 3 + 3*s - 3 + (s - 4*s + s)*(-2 - 2 + 2) in the form k + z*s and give z.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6813, -13627, -20441?\n\"Answer: -6814*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3940, -30, -5, -1\/3.\nAnswer: -3940, -30, -5, -1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -533*g - 667*g + 2526*g + 2569*g + (g - 4*g + 2*g)*(-1 + 0 - 1) + 3*g - 6*g + 2*g.\nAnswer: 3896*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fukf. Give prob of sequence fk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-135*p + p**4 + 135*p - 3*p**2)*(-1 + 3 - 1 - 2 + 79 - 8 + (0 + 1 + 1)*(3 - 3 + 2) + 0 - 2 + 3) to n*p + r*p**2 + v + x*p**3 + f*p**4 and give f.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeebebeeeeeeeeb. What is prob of picking 1 e and 3 b?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -40736.33599 and -56530?\nAnswer: 15793.66401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + 8*u - 9. Let n be h(6). Which is the closest to -2\/3? (a) -0.5 (b) -3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1228, -2445, -3662, -4879, -6096, -7313?\n\"Answer: -1217*b - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3618897549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.5 - -0.5. Let s be ((-3)\/(-6))\/(-7 - (0 + -5)). Sort s, -0.17, d, 1\/4.\nAnswer: s, -0.17, d, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 r when three letters picked without replacement from {u: 2, o: 7, r: 6, s: 1, h: 3}?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -483 - -1933\/4. Which is the nearest to 0.1? (a) u (b) -48 (c) 3\/2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*s**2 + 14*s**2 + 21*s**2 + 11916*s**3 + 23*s**2.\nAnswer: 11916*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (0 + -4) - 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 55\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, -217, -536, -953, -1474, -2105, -2852?\nAnswer: -3721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001171305711 rounded to seven decimal places?\nAnswer: 0.0001171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-28)*(-47244)\/3937?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + k - 21 + 6, k - 3 = 0. Factor -4*u**2 + 216 - 428 + 212 - n*u.\nAnswer: -4*u*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*h + 6*h. Let j = 10 + -4. Let l = j - 32\/5. Is l at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 53\/5 of a microgram?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 2\/19 (b) -8 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4346*c + 5538 = 118534 for c.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 400*q + 3130 = 94*q - 236 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1414\/3385 + 12\/677. Find the common denominator of r and -27\/3052.\nAnswer: 15260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of 43*f**6\/30 + f**5\/60 - 356*f**4\/3 - 4300*f**2. What is the second derivative of r(j) wrt j?\nAnswer: 1032*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/18 and 23\/160.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -4*b**4 - 424*b**3 - 2444*b**2 - 4424*b - 2400 = 0?\nAnswer: -100, -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j. Let a = 4 + -1. Suppose -a*r + 6 = -0*r. Let i(m) = -2*m + m**r + m + m. Determine i(h(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35.43 + 38.5. Let h = t - 3.1. What is h rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/6 + 4)\/(2*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605)*-2 + -5)**2 - (-5 + sqrt(60)\/(sqrt(12)*-1))) + 2*(sqrt(15) - sqrt(45)\/(sqrt(3) + sqrt(12)))\/sqrt(3)*5.\nAnswer: 683*sqrt(5)\/3 + 2450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 446387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 850.0696 millilitres?\nAnswer: 0.8500696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o - g, 0 = 2*o + 3*g - 7*g for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, y: 1, e: 3, n: 11, r: 2}. What is prob of sequence nre?\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000008135 rounded to seven decimal places?\nAnswer: -0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3*n = -15, 5*j + 0*n - 21 = n. Suppose 2*s - 441 = j*q + s, 4*q - 5*s = -445. Let t be 3 + (20\/q - (-18)\/(-22)). Solve -4 - t = -2*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10400)\/(-306) - 9\/(-1134)*-28. Which is smaller: 35 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -774 + b - 6654 + 2759 to the form p*b + j and give j.\nAnswer: -4669","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0 - (-7 + -7)) + -4 - 4) + -18.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 3, -w + 3*s = 4*w - 29. Let u = -117 - -119. Suppose u*x = -w*x. Does x = 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/20*(22\/(-6) + 7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 26*j + 187. Give a(-5).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 2)*30\/9. Let m(q) = -q**3 - 9*q**2 + 7*q + 12. Let c be m(b). Suppose 0*k = -k + 6. What is the highest common divisor of c and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*s**2 - 32*s**2 - 28*s**2.\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 19937 to the power of 1\/2, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 20*h**2 + 44*h + 11. Give m(-22).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 + 37 = 4*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44640302 is divided by 3716.\nAnswer: 3710","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 130 and 2739373?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134 divided by -2.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/4*0)\/((-6)\/66*-11). What is the biggest value in -2, b, 2, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 80616, 159393, 238170, 316947, 395724?\n\"Answer: 78777*x + 1839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j - 20*j - 660 = -6168. What is the remainder when j is divided by 94?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/5 (b) 2 (c) -99 (d) -308\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 37*c + 32*c = 13, 2*c + 3 = -7 - 0 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(26) + sqrt(156)\/sqrt(24) - (sqrt(26) - (-3*sqrt(2106) - sqrt(26))))\/(sqrt(7200) - (-1*sqrt(7200) + sqrt(7200))*-6)*-6)**2.\nAnswer: 1573\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 16667*y + 12. Let c be k(5). Let w = c + -20347. What is w rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55928188289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 153162383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 3*d - 9 - 15 = 0, -2*d = i - 13 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001638909 rounded to seven dps?\nAnswer: -0.0001639","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 25*o**2 - 11*o + 111. What is the remainder when n(-19) is divided by 227?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2 = y + 12, 0 = v + 5*y + 18. Let k = -14 + 16. Suppose w = -k*w. Is v at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/2 + (2552\/80)\/(-29). Put 3\/7, 0.4, -0.2, x, 2\/7 in descending order.\nAnswer: 3\/7, 0.4, 2\/7, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24\/11 - -83\/33. Let a(r) be the second derivative of -r**4\/12 + 3*r**3\/2 - 23*r**2\/2 - 2*r. Let k be a(8). Is k smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 184 - 129. Suppose 0 = -30*h + 32*h - 104. Differentiate -2*s - i + h + 0*s with respect to s.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6682053 centimeters to micrometers.\nAnswer: 6682.053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 4 - 4)*(6012 - 2579 + 3720 - 4039 + 4379 + 5948).\nAnswer: -40323*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8943 - -8949. Let h = -16.7 - -17. What is the closest to -1\/2 in h, p, 1\/2, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10001221200 - 111?\nAnswer: 10001221012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + 7*g + 2. Let r(u) = -u**2 - 10*u - 8. Let d be r(-10). Is s(d) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -611 = 3*k - 617. Which is the closest to -2? (a) -0.3 (b) -0.5 (c) k (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221191039 is divided by 2036?\nAnswer: 2035","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 10*a = 14*a - 88, 4*f + 40*a = 38*a + 82 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + o + 189 = -3*x, 5*x + 75 = o. Suppose 5*b - 84 = 3*d, -3*b + o = -12*d + 7*d. Let j = 177 + -172. What is the remainder when b is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4764 - -4947. Calculate the remainder when 1070 is divided by l.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4518234?\nAnswer: 2, 3, 7, 11953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*c**3 + 154*c**2 + 96*c = 0. What is c?\nAnswer: -3\/5, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/4 of a hour?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + -25 + 13 - 2 - 11.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**3 + 5*d + 5. Let a(t) = -t**3 + 3*t + 3. Let m be (-336)\/54 + (-4)\/(-18). Determine m*u(x) + 10*a(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80940 and 582768?\nAnswer: 2913840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2 - 2 - 2*k + 9*k - 3. Let y be z(2). Let d(w) = w + 9. Let j be d(-7). Solve -j*c + y*c - 5 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57*b - 59*b - 16*b + 24*b to z + f*b and give f.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -74 - -80. Suppose -m*q = -15*q + 72. Let p = q - 7. Calculate the greatest common divisor of 9 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4045375.\nAnswer: 5, 32363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1168185 smaller than 1168191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4019, -8393, -12837, -17351, -21935, -26589?\nAnswer: -31313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5a10a9 (base 11) in base 9?\nAnswer: -1712376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -1067*r + 87501. Determine x(82).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-6)*z)*z*z)**(-34\/3) assuming z is positive.\nAnswer: z**(-272\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -111010?\nAnswer: 111012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cj when two letters picked without replacement from cjfucpucurj.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/4)\/(s\/(s*s\/(s*s**(-2\/23))*s*s))*s**(4\/7)\/(s*(s**(-6)\/s)\/s*s))**29 assuming s is positive.\nAnswer: s**(175711\/644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mwqoe. Give prob of picking 1 q, 1 e, 1 o, and 1 w.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) -1300 (c) 3 (d) -5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 7*z. Let f(a) = -1820163*a. Calculate h(f(n)).\nAnswer: -12741141*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -55.52 + -0.48. Let u = 56.37 + d. What is u rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -6.726.\nAnswer: 7.726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.78695817 rounded to zero dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 0*h**2 + 10 + 0*h**2 - 6 - 4*h - h**2. Let o be u(-4). Suppose -45 = o*v + v. Sort 4, -2, v in increasing order.\nAnswer: v, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -c - 188. Let b(x) = x**2 + 3*x + 15. Let z be b(-5). Suppose -c = -5*d - 3*o + 2*o, d = 4*o + z. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57874217 and 25387?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-8)*((b*b\/b**(-2\/3))\/b*b)\/b)\/(b**(-4\/7)\/b**(-5)) assuming b is positive.\nAnswer: b**(131\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.241687 rounded to three dps?\nAnswer: -0.242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 373 and 3?\nAnswer: 1119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 18 = 0, -5*h + 15 = -4*w - 39. Let i(b) = 7*b + 16. Determine i(w).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 604, 1227, 1864, 2521, 3204, 3919, 4672?\nAnswer: 5469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 101*z - 32. Let f be t(-2). Let j = 238 + f. Solve 4*d - j*a = -5*a - 7, -6 = 3*d + a for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - n = 3, -3*r - r + 3*n = -8 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(612) + -2*sqrt(612) + 6*(1 + sqrt(612) - sqrt(612)))*1.\nAnswer: -6*sqrt(17) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*f - 2*f. Suppose 3*c = -f*z - 8, 2*c - z + 7 = -3. Put -5, 0, c in increasing order.\nAnswer: -5, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((26\/(-156))\/(10\/30))\/((-1)\/(-1))*-72?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -640.8 and -309?\nAnswer: 198007.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 45. Suppose -2*y = 338 - 512. Calculate the remainder when y is divided by j(0).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rjjrgrqsrrgrrrqjsbgr. What is prob of sequence sb?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x. Let o(j) = -165044*j. What is g(o(m))?\nAnswer: 495132*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 44f - -12?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 4*s, v - 4*v + 5*s = 0. Let m = 7 + -4. Suppose -6 = -2*u + 4*y, v = m*y - 0 + 6. Is u at most -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -j**5\/5 + 656*j**3\/3 - 128*j**2 - 1244. Find the second derivative of s(t) wrt t.\nAnswer: -12*t**2 + 1312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 84*n = 197*n + 2147 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 3. Let h be 6\/(-8) + (-46)\/(-8). Suppose -h*s = -s - 20. What is the remainder when m is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (5 - 50\/5)*51*8\/(-192) and -115\/1652.\nAnswer: 3304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**3 + 4*m**3 + 5*m**3.\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 at most -393047?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -508*t**3 + 557*t**3 + 525*t**4 + 75*t**2 - 4 - 515*t**4 + 32*t.\nAnswer: (t + 1)*(t + 2)**2*(10*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.19689 to 3 dps.\nAnswer: -0.197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 10, 53, 3, 0, 1479 in increasing order.\nAnswer: -2, 0, 3, 10, 53, 1479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -36*m - 826. Let r be n(-23). Factor 8\/5 + 12\/5*l + 4\/5*l**r.\nAnswer: 4*(l + 1)*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2306*u**2 - 6622*u + u**4 + 2087*u**2 - 924*u**2 + 7551*u wrt u.\nAnswer: 12*u**2 + 6938","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3394 and 92839.\nAnswer: 31509.5566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-8410)\/4 + 11)*2\/(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(605) + 5)**2 + -3 + ((-3*sqrt(605))**2 - sqrt(605)).\nAnswer: -561*sqrt(5) + 20592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**2. Let g(q) be the third derivative of 0 - 1\/10*q**5 + 0*q + 0*q**3 + 0*q**4 - q**2. Give n(g(f)).\nAnswer: -72*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/202994 and -21\/978062.\nAnswer: 10758682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1190 by 14.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10 - (2330\/80 - 7) and -65\/3356.\nAnswer: 6712","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 6 - 4 = 0. Suppose -3*i + p = -0*i + 7, 4*i - 5*p + n = 0. What is the second biggest value in i, 1\/4, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-4)\/5*145\/58. Factor 1\/4 + 1\/4*p**w - 1\/2*p.\nAnswer: (p - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/(-399)*2\/36. Is x > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -s**5\/20 - 7*s**4\/6 + 5*s**3\/2 + s**2 + 3*s - 21. Calculate a(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77244242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/8885374 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-10) - 22\/(-30)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -13*g - 21. Let s be 1\/1 - (4 + g). Let t = s - 4. Let f(p) = -p**3 - 3*p**2 + 5*p - 1. Determine f(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 296104.07 to the nearest one thousand.\nAnswer: 296000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -213183*b**3 - 339803*b wrt b.\nAnswer: -1279098*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 0 (c) 26 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -543 + 519. Calculate the remainder when 54 is divided by ((-30)\/(-4))\/((-2)\/y*3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (85724 + 608*o - 85724)*(o**3 + 6*o**3 - 4*o**3) to y + j*o**3 + n*o**2 + a*o**4 + u*o and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h**3 - 2*h**3 + 2*h**3)*(119*h - 239*h + 3035 + 119*h) in the form d + z*h**2 + j*h + n*h**3 + i*h**4 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6234738.3 days to weeks.\nAnswer: 890676.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-60)\/(-18) + -4)\/(1\/3). List the prime factors of (-299)\/4*(g + -2).\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2683500 is divided by 188.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -25*b**2 - 7447*b - 6527. Determine v(-297).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from iiiiiibiiiiiiiiiiii.\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 - -37. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-3)\/(-1) + (-160)\/30?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 8 (b) 2 (c) -697\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -32*q + 675. Let c be o(21). Sort c, -8, -7, -2.\nAnswer: -8, -7, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4683 - -4686. What is the closest to -8 in g, -5, -0.01, 1\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -4*m + 3*w, 18*m + 7*w = 13*m + 2*w - 30 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -841*u**3 + 3258382*u**2 - 1348188*u + 139464 = 0.\nAnswer: 6\/29, 3874","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.0610935 * -4\nAnswer: 0.244374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 162*h**3*v - 901525*h**3 + 3470*h*v wrt v.\nAnswer: 162*h**3 + 3470*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + t - 91, -237*v + 3*t = -239*v + 105. Solve 75*u + v = 89*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 652.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -88, -0.05 in increasing order.\nAnswer: -88, -5, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15701 - 9193. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -921115 plus -0.496?\nAnswer: -921115.496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -771692a (base 11) to base 4\nAnswer: -303230212200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + 1. Let v(l) = -31*l**2 - 14. Let i(c) = 3*f(c) + v(c). What is the first derivative of i(b) wrt b?\nAnswer: -68*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(0 + sqrt(2) + 0 - sqrt(20)\/(sqrt(10)*-2))*1)**2.\nAnswer: 225\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4650 divided by 2\nAnswer: 2325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 13503.\nAnswer: 13503","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1891649 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3840214517?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*y + 18*y - 16*y**3 + 14*y.\nAnswer: -16*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3.5 (b) 0.008 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57286, -114507, -171666, -228763, -285798?\nAnswer: -342771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3514 = -9*m + 2*m. Let i = -78 - m. What are the prime factors of i?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 784 smaller than 35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -2\/13, -566046 in increasing order.\nAnswer: -566046, -2\/9, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 317\/(-9) + 20\/90. Let t = w - -8. Let x be (-26)\/(-3)*t\/(-2). What is the highest common divisor of 13 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 143 + 85 = -5*n, 0 = 3*n - d + 134. Let o = 32 - n. Are 75 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-28)\/(-14))\/(2\/24). Let p = -36 + m. Let x be (-2337 + 1)*-2*(-1875)\/p. Round x to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4382560*n**2*s**3 + 117205*n**2*s**2 - n*s**3 + 4*n*s**2 wrt s?\nAnswer: -26295360*n**2 - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33479618*o**3 + 2871*o**2 + 47*o + 8?\nAnswer: -200877708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 2*l - 0*l. Suppose -6*f - 612 = -10*f. Calculate the highest common divisor of f and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163*v**3 + 2607789*v**2 + 2*v - 2607789*v**2.\nAnswer: 163*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105 and 90217176?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) 2\/2749 (c) 3\/2 (d) -0.1 (e) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.8 + -6.2. Let w = y - -6. Let l = w - 1. What is the closest to 0 in 2\/17, 4, l?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -157 (base 8) in base 6?\nAnswer: -303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -29823 divided by 6297?\nAnswer: -9941\/2099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-7)\/14)\/(1\/(-16)). Suppose -3*w = -7*w + x. Suppose -g + 4*m + 2 = -0*m, w = g + 4*m. Solve -g*p + h + 12 = 0, h + 33 = 4*p + 11 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 691*i**3*x**3 + 20*i**3*x**2 + 2*i**3*x + 11*i**2*w**2*x - i*w**2*x**3 - 396*i*x**3 + 249*w**2 wrt x?\nAnswer: 4146*i**3 - 6*i*w**2 - 2376*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*z = 24*z + 8. Let n(v) = -11*v**2 - 10*v - 58. Let l be n(z). Round l to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**2 - 3*b - 2. Let j be k(3). Let t = 7 - j. Solve t = 2*w + w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 781798 - 2061*h - 781798.\nAnswer: -2061*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2 + 760*a + 36100.\nAnswer: 4*(a + 95)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 7 - 5)*(-9*f - 5*f - 5*f) + 25*f - 21*f + 47*f)*(-1 + 1 + 2).\nAnswer: -126*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 213\/(-5325)*(2 + 0)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 + (61 - 46) - -72?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19229556 to the power of 1\/2, to the nearest integer?\nAnswer: 4385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 418441880 divided by -740.\nAnswer: -565462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 6696, 17865, 33502?\nAnswer: 53607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -4*f - 10. Let a be k(-8). Suppose -3*z + y + a = 0, -2*z - 3*y + 6 = -8*y. What is the highest common divisor of 72 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 3:26 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*a**3 + 14*a**2 + 2*a wrt a.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 9*x - 2. Let l be (-26)\/4*(-228)\/247. Let c(p) = 9*p - 2. Determine l*c(i) - 7*v(i).\nAnswer: -9*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1770 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 644 + 1064 = -14*a. Let y = 157 + a. Calculate the greatest common factor of 945 and y.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-39)\/(-6))\/(1\/(-2)). Let z = -14 - s. Let v = -1 + 4. Sort 5, v, z.\nAnswer: z, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/(sqrt(60)\/sqrt(108)))\/(sqrt(36)\/(sqrt(441)*2)) + -4.\nAnswer: -4 + 42*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 2. Let z(s) = -s**2 - 3. Let k(x) = 3*w(x) - 2*z(x). Let c(q) = 19*q + 45*q + 13*q. Determine k(c(t)).\nAnswer: -5929*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*u - 2*u**3 + 37433717 - 37433718 + 2*u**2 + u**3 in the form t*u**2 + s*u + k + y*u**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 3127?\nAnswer: 9381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a - 3. What is w(12)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 10*x**2 + 8*x - 22. What is r(-11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1043 and 402151?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k - 60 = -12*k. Suppose 111 - k = -2*h. Which is greater: h or -50?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus 1135.588?\nAnswer: -1135.388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 1)*(3 + 712*g - 574*g + 0) + 6 + 3 + 331*g - 330*g as a + k*g and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63967 + -0.4.\nAnswer: 63966.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 5*r**2 + 8*r - 9. Let o be d(6). Let l(p) = -o - 2*p + 3 + p. Let w(v) = -8*v. Give l(w(k)).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y**2 + 5536*y + 40. Let o(r) = -7*r**2 + 11071*r + 100. What is -5*f(l) + 2*o(l)?\nAnswer: l**2 - 5538*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 1477*y - 11779. What is s(8)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 4*b**3 - 8*b**2 - 9*b**3 + 6*b**2 + 2*b**3 + b - b**3. Let x be 2\/3*(-3)\/(-2). Let w be u(x). Put 1, w, -4 in increasing order.\nAnswer: w, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1953 and 49383?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -207*k*z**2 + 1061*k + 2*z**4 with respect to z.\nAnswer: -414*k*z + 8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of 0*i**2 + 36*i - 1\/6*i**3 + 0. Let g(c) = c - 1. Calculate p(g(t)).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -7595*f - 22774. Give y(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 131, 245, 349, 437, 503?\n\"Answer: -v**3 + v**2 + 118*v + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.3 - 6. Let o = u + -0.2. Let a(s) = s. Let h be a(3). Which is smaller: h or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 0.29 (c) -215.9 (d) -1 (e) 1.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1265, 5053, 11369, 20213, 31585, 45485, 61913?\nAnswer: 80869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c - 126 = -19*c. Let d be 15\/(-9) + (-2 + -4)\/c. Sort -1, d, 1, 2 in ascending order.\nAnswer: d, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 + 20 - (-18 - 3)) + 10.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12053310 (base 7) in base 4?\nAnswer: 10011232131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 238 divide 194786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8037?\nAnswer: 3, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-21)\/(-795)*120\/70. Which is bigger: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/20, -1.8, 1\/3, -58, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101347, 202695, 304043, 405391, 506739?\nAnswer: 608087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 6 + (10 - (4 + 0) - 8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 3*s + 65, -26 = -100*z + 98*z + 4*s. Calculate the remainder when 33 is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, l: 1, p: 4, v: 1, o: 1, b: 3}. Give prob of picking 1 q and 1 b.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 819671339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 109*u**2 - 897*u + 10. Calculate the remainder when 766 is divided by l(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1165 and 11883.\nAnswer: 59415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -51*y - 2038. Let v be k(-40). Suppose t + 5 = p, 3*p = -0 + 3. Let s be 3*t\/(-6) - -3. Solve -s*n = 4*a + 18, 2*a + 10 = -v*n - a for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 346757 and 63.\nAnswer: 21845691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 12838 (b) -330 (c) 3 (d) 1 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 + -28. What is the second smallest value in z, 0.3, 2\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/50 of a kilogram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90\/60*(-12)\/(3\/(-1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - 1 - (25 - (21 + -40)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -228, -623, -1018, -1413?\nAnswer: -1808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -19. Let n = 8 - o. Let s = n + -1. Put 2, s, -2 in decreasing order.\nAnswer: 2, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 9089 + 389. What are the prime factors of 5\/10 + c\/8?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 331.539894 minutes to weeks.\nAnswer: 0.0328908625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**5 - 88*y**4 + 1050*y**3 - 1764*y**2 = 0.\nAnswer: 0, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v**2 - 192*v + 2030. Let m be s(-73). Solve 5*d - 5*w = -10, 80 = 3*w + m for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-10))\/(336\/60 - 12). Which is smaller: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*v + 2 = -6*v, -3*v - 2 = 2*d. Suppose -3*s + 4*b = -1337, d*s + 18*b - 19*b = 888. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 + -1 - 1)\/(4\/(-12)). Put l, 5, -4, -3 in descending order.\nAnswer: 5, -3, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(70\/68) + -4. Let w = 2\/3 + -1\/6. Which is the closest to 1? (a) p (b) -2\/11 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102827831 to the power of 1\/3, to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 355633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 4*k**2 - 9*k - 16. Let g be l(6). Suppose -d + 5 = -6*d, 0 = g*b - 4*d - 1856. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 14095958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 112 - 30. Let l = 64 - f. Let u = l + 15. What is the biggest value in u, -6\/5, -0.4, -2\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31287 - 31285. Let v be (-146)\/(-10) - (-2)\/5. Put 1, v, 5, r in ascending order.\nAnswer: 1, r, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5804.\nAnswer: 2, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) -2 (c) 6242\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 3*s - 2*b - 10, 4*b = -2*s + 4. Let k be s + -3 - (-1 - 2). Find the second derivative of -40 + 4*o**3 + 40 - k*o wrt o.\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 755304108 or 755304109?\nAnswer: 755304109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0*p = -h - 14, -5*h = 0. Suppose -3*d - 16 = -p*d, 5*a = d + 71. Calculate the smallest common multiple of 25 and a.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133387 - 3341 = 737*g - 3391*g for g.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 756 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 15, h: 4}. Give prob of picking 3 h.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzz. Give prob of sequence zzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xrrxxrrnrxn. What is prob of sequence xnn?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -4*p + 36. What is the third biggest value in 5, 0.2, p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -19, -3, -16 in descending order.\nAnswer: -2\/3, -3, -16, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19728379 and 8965.\nAnswer: 1793","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -68. Let g be ((-60)\/(-25))\/6*r. Calculate the highest common factor of g and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s**2 + 1927*s - 40657. Determine x(-502).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 2 + 6. Let w = 10 - 10.6. Let v = -0.2 - w. Which is the smallest value? (a) -0.3 (b) y (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3133242144 divided by 6\nAnswer: -522207024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*z - 2*z = 0. Suppose -3*a - 2*a + 50 = z. Solve 7*c = 5*c + a for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 119, 368, 1047, 2372, 4559, 7824, 12383, 18452?\nAnswer: 26247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/6665 and 9\/175010.\nAnswer: 5425310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j - 1. Let k be i(4). Let l(a) = -2*a + 3. Let z be l(k). What are the prime factors of 11 - (z + (2 - 1))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 13) to base 16.\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, w: 2}. Give prob of sequence xw.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q - 65. Determine s(5).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104 + t - 104 + t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211034*c - 168 = -2*y - 211029*c, -2*y = c + 36 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -4*n + 32, n + 43*k + 7 = 46*k for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(15\/18) - -1080006. Round n to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*5030.\nAnswer: -35210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c**2 + 13*c - 4499. Calculate i(-41).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8798?\nAnswer: 2, 53, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3359551 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1043 (base 5) to base 10.\nAnswer: -148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -16*g - 11*g**2 + 8*g + 2 + 11*g. Let a be c(-1). Is 188\/12 + 8\/a even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - q = 2*f - 6, f + q = 0. Sort -0.4, -5, f, 0.7 in ascending order.\nAnswer: -5, f, -0.4, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-3) - (-75)\/9. Let k(c) = 6*c - 40. Let v be k(f). Solve p = -v*l - 8, -l = 2*p - 2 + 3 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.7, -2, 3, -3, -4.29, 106\/3 in descending order.\nAnswer: 106\/3, 3, 1.7, -2, -3, -4.29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -963*m = -1315*m - 2112 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3326, 6778, 10230, 13682, 17134, 20586?\nAnswer: 24038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-63)\/30)\/7)\/(540\/240).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v - 2*v**3 + 0*v + (2 - 2 - 2*v)*(2*v**2 - 1 + 1) + v - v - 17*v**3 to k + s*v**2 + n*v**3 + g*v and give n.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (16\/(-256))\/((-2)\/204) and 67\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 19. Suppose 2*g = -0*g + z. Solve -4*k = 2*t + 7 + 15, 2*t + g = -k for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -a7?\nAnswer: a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.4, 4, -580.5, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 + -32.6. Which is the smallest value? (a) y (b) 5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 + 0.3. Let t = y - 1. Let q = 3.1 - 3. Sort 0.2, q, t in ascending order.\nAnswer: t, q, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4 = -3. Suppose l*a - 12*a = -5. Suppose u - 1 = -m - 5, -3*u = 12. Do a and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*k - 3*b - 28, k + b = 1. Suppose k*f = 1 + 19. Sort 0, -4, f in descending order.\nAnswer: f, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37 - 22. Let g = 6 - 8. Let t be 2\/(-3) - g\/3. Solve 3*q + f = -t*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1777465 a multiple of 214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 1835 = 2*v, -o = -0*o + 4*v - 595. Let w = -238 + o. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 758 - 377. Let u = 676 - s. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.982866 rounded to 1 dp?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**2 + 6*s - 9. Let p be i(2). Let j(b) = b**2 + 2. Let v(u) = u**2 + 2. Give p*v(m) + 4*j(m).\nAnswer: -m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-3)*-43*57\/2213253.\nAnswer: 1\/129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/10)\/(108\/810).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 7*i - 2*i, 0 = 3*w + i - 8. Let q = -0.2 - -0.2. What is the biggest value in q, w, 1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8196 by -2223.\nAnswer: -2732\/741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 541423\nAnswer: -6\/541423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 63*a - 75*a - 144 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23134 divided by 23134.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 287 divided by 48329.\nAnswer: 287\/48329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.114692 - -139310\nAnswer: 139309.885308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 142 and 1897759.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68) + -1 + 3 + sqrt(68).\nAnswer: 2 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -252*u + 287 + 289 - 72. Put 35, 5, u, -13 in decreasing order.\nAnswer: 35, 5, u, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 - j + 2*j)*((1 - 1 + j)*(-2 + 3 - 3) + 13*j - 20 + 20) - 1 + 1 - 2*j**2 as t*j**2 + l*j + u and give l.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75868 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*g - 59*g + 52 = 41*g. Let j = 5 + -1. Solve -2*f = g*f + j for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/39569 or 31.26?\nAnswer: 31.26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**2 - 17*i - 24. What is o(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 h when three letters picked without replacement from hrrhhrhqqhrhrnqrqr?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.08? (a) -1\/5 (b) 3\/2 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, b: 4, j: 8}. What is prob of sequence aaab?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 8*c. Let v = -125 + 77. Let b be 3\/(-4)*v\/18. Let p(l) = -17*l**b - 19*l**2 + 39*l**2. Calculate p(q(s)).\nAnswer: 192*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2251358 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**2\/f**(1\/2))**(-2\/7) assuming f is positive.\nAnswer: f**(-3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1091*u*y**3 + 2272*u*y**2 - 154968*u*y + 3*u + 2 wrt y.\nAnswer: 6546*u*y + 4544*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-29)*q*q*q*q\/(q*(q*q*q\/(q*q**(2\/51)\/q*q)*q)\/q*q*q))\/(q**(-16))**16 assuming q is positive.\nAnswer: q**(11528\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -174, -252, -330?\nAnswer: -408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 999825.8m in millimeters?\nAnswer: 999825800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 388*b + 1656 + 926 + 2667 = -959 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 94625331 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4412969 or -4412937?\nAnswer: -4412969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 48*q**2 + 353*q + 1567. Let l(o) = 13*o**2 + 96*o + 427. Let k(h) = 10*g(h) - 37*l(h). Give k(-9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0096, -2\/9, -210 in increasing order.\nAnswer: -210, -2\/9, 0.0096","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*o - 4*i, 4*o + 2*i = 6*i + 20. What is the nearest to -3 in o, -1, -2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwo when three letters picked without replacement from {w: 7, u: 5, o: 2, g: 5}?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uaa when three letters picked without replacement from aauauuaauuuuauau?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-90)\/(-54) + 1\/3. Suppose -t*j - i + 7 = 0, -3*j + 3*i = -7*j + 17. Suppose -l - 11 = -j*l. What is the smallest common multiple of 3 and l?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2329*o**5 + 23*o**2 - 7*o**3 + 2327*o**5 + 0*o**2 + (-o**4 - 2*o**4 + o**4)*(o - o - 2*o).\nAnswer: 2*o**5 - 7*o**3 + 23*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -y + 1. Let x = y - -1. Let m = -55932 - -55944. Solve m = 3*v - x*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17149289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/5 (b) -3\/2 (c) -5\/2 (d) 14\/85 (e) -7.2 (f) -0.01 (g) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - (348\/(-68) + 3). Let p = 22.1 - 23.1. Sort -2.1, q, p in decreasing order.\nAnswer: q, p, -2.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**3 - 8*y**2 - 3. Let r(d) = 4*d**3 + 17*d**2 + d + 6. Determine 7*b(o) + 3*r(o).\nAnswer: -2*o**3 - 5*o**2 + 3*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 682, 756, 940, 1288, 1854, 2692, 3856, 5400?\n\"Answer: 9*p**3 + p**2 + 8*p + 664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2079760*u**4 - 963175*u**2?\nAnswer: -49914240*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 64*k**3 - 7*k**4 - 64*k**3 + (-10*k**4 - 9*k + 9*k)*(4 - 2 + 0).\nAnswer: -27*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 9:34 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1008195?\nAnswer: 3, 5, 67213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 625343 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -704 - -704.109. Let h = r - 0.209. Let l = -7.7 + -56.3. Which is smaller: l or h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 136 and 899116?\nAnswer: 30569944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 24 + -1 + -2. Let i be ((-6)\/(-5))\/(2 + 788\/(-400)). What is the greatest common factor of i and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -14\/109 (b) 2\/13 (c) -2.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1954781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 309326 and 2954?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 77\/((5\/(-3))\/(-5)). Let p(r) = -r + c - 118 - 113. Let u(a) = 3*a**2 + 9*a. Determine p(u(k)).\nAnswer: -3*k**2 - 9*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 82\/11 in -3, -5, -4, 4, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4\/9 (b) 4\/7 (c) -3\/4 (d) -77 (e) -0.3 (f) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 4*n. Let g(z) = 4*z**2 - 11*z. Calculate -4*g(s) - 11*o(s).\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 3*d + 3 = 0, 0*p + 23 = 4*p - 5*d. Calculate the greatest common divisor of 5 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) + -1 - (sqrt(13) + sqrt(39)\/sqrt(3)*1))**2.\nAnswer: -12*sqrt(13) + 469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 343931 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -95 or -100?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q**3 - 3*q**2 + 14*q + 15. Let l be w(-2). What is the fourth smallest value in -20, 5, l, -6\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1507569445 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -259135, -259180, -259225?\nAnswer: -259270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -106.805 + -0.195. Let x = -107.165 - u. What is x rounded to 2 dps?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (60\/(-125)*-5)\/((-1)\/5). Let m = 10 - k. Which is bigger: 23 or m?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of 5\/24*i**4 + 0*i - 1\/60*i**5 + 0 + 60*i**2 + 1\/3*i**3. Let r(u) = -u. Calculate -q(d) - 5*r(d).\nAnswer: d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*1\/(-1100)*100*(-29)\/580?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 1 = 3*j. Suppose 0*n - j*n = 326. Let r = n + 282. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 19413694 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/13)*c**(-2\/17)*(c**(-5))**43)**(3\/20) assuming c is positive.\nAnswer: c**(-14247\/442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 8:20 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 3) to base 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 1231 = 4390. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 22*u. Let i(c) = -c - 2 + 12 - 10. Give i(y(r)).\nAnswer: -22*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.08 - -3.92. Let b = a + -3. Let t = -6.1 - -1.1. Put 2, t, b in ascending order.\nAnswer: t, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -0.1, -0.3, 1\/4, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 889869.1 micrometers?\nAnswer: 0.8898691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10*1\/(-6)*(28\/(-350) + 0). Let b(x) be the first derivative of 1 - 2\/5*x**2 - 2\/5*x - g*x**3. Determine s so that b(s) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 3*t + 8. Let -t*i**4 + 3*i**4 + 2*i**3 + i**4 + 2*i**2 - 2*i**4 - 2*i = 0. What is i?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 5, 0 = -j - 0*j + 5*x + 220. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99, -161, -223, -285, -347, -409?\nAnswer: -471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 183721.14256 and 0.7.\nAnswer: 183721.84256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -3066*m**4\/5 - 6004*m**3\/5 - 562*m**2 + 128*m\/5 = 0.\nAnswer: -1, 0, 64\/1533","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.294 times -59\nAnswer: 17.346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10188*z + 10192*z - 30694*z - z**3 + 10189*z + 0*z**3 - 2*z**3.\nAnswer: -3*z**3 - 125*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7623 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.66 + -1.5. Round j to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11829 or 11807?\nAnswer: 11829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 23.33 at most as big as -1571?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Solve 1304717*p - 1304426*p + 6984 = 0 for p.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 not equal to 3198\/71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) - (sqrt(70) + (sqrt(70) - (sqrt(70) - -1*sqrt(70))) - sqrt(70))*-6)*4)\/(sqrt(100)\/(sqrt(90)*-2 + sqrt(90))).\nAnswer: 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/402912 and -119\/576?\nAnswer: 805824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1184 - -1183.979. Which is the third smallest value? (a) -1 (b) i (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 48*i**2 + 20*i - 32. What is the least common multiple of 18 and n(6)?\nAnswer: 16344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 2*h + 2*h)*(-2*h**3 + 4*h**3 + h**3) + (2*h**3 + 5*h**2 - 5*h**2)*(-3*h + 3*h + h).\nAnswer: -h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ui when two letters picked without replacement from {i: 2, u: 6}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2907 + -1700. Let c = -74 - -91. Calculate the highest common divisor of y and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-33) - 666\/33. Let v(a) = a**3 + a**2 - 3*a - 2. Let h be v(3). Let y = q + h. What is the remainder when y is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7912.61 millimeters to kilometers.\nAnswer: 0.00791261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 19437*q + 11. Let m be d(-3). Round m to the nearest 1000.\nAnswer: -58000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -8*k**2 - 5. Let v(z) = -z**2 - 1. Let m(f) = -15*v(f) + 3*x(f). Let o(y) = -423 - 3*y**2 + 423. What is m(o(u))?\nAnswer: -81*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*y**4 - 28*y**4 + 0*y - y - 4 - 25*y**2 + 2 in the form l*y**4 + x + v*y**3 + w*y**2 + r*y and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 6 - 1. Let l be (y\/(-2) + 2)*-6. Factor 1\/2*w**2 + 0 + 0*w - 1\/4*w**l.\nAnswer: -w**2*(w - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v + 6. Let r be s(-6). Let b = 172 - 167. Suppose m = -r*m + b. Solve 16 = -j + m*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -2. Suppose l - 2800 = h*l. What is l rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.621 in 3\/4, -3\/2, 4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 11*c + 5. Calculate y(7).\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 7*q**3 + 12*q**2 + q - 5. Let d(y) = 15*y**3 + 25*y**2 + 3*y - 11. Let w(n) = 6*d(n) - 13*r(n). Let m(p) = p**2 - p - 7. Let h be m(0). What is w(h)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -220 divided by -55\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2810718929.\nAnswer: 6323, 444523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -6*g + 6. Let n(i) = 5*i + 3. Let q be n(-2). Let z be r(q). Suppose -z = -5*f + 147. Calculate the common denominator of f and -55\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -2 + 6 - 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 2) + -4 - -2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 391 by -60811.\nAnswer: -391\/60811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 26*x**2 + 88*x - 2812. What is d(25)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ammffwmqqymqmqwmq. What is prob of sequence mwy?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1536.68757 + 1536.8. Let c = -0.111 + f. What is c rounded to 4 dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35228.9 rounded to the nearest 100?\nAnswer: 35200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13888 and 48914404?\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203563476.\nAnswer: 2, 3, 83, 22709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5 - 3 = 0. Let b(p) = -18*p**2 + 2*p + 1. Determine b(x).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 14*t**3 + 8*t**2 + 10*t - 8. Let b(l) = -2*l**3 - l. Let g(w) = a(w) + 8*b(w). Let j be g(4). Let s(x) = x**3 + x**2 - x - 10. Give s(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -0.2 (b) -0.05 (c) 2\/3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -160873.9299992 + 160874. Let x = -0.3 + 0.37. Let a = y - x. Round a to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165927814 a multiple of 4951?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a litre in millilitres?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 36\/(-10)*(-50)\/15. Let i = -7 + u. Let n = 18 + -9. Solve 0 = 2*g - i*g + n for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((-3)\/(-4 - -1)). Let y(k) be the second derivative of -k**3\/6 + k**2 - k. Determine y(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 1 = -v. Suppose -10 = -v*h + 5. Solve 0 = 5*u + 20, -h*k - 6*u = -4*u + 17 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*p - 2*p. Let u = 3 - p. Let w(a) be the third derivative of a**4\/24 - a**3\/6 + a**2. Give w(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**3\/2 - 720*s**2 - 16458*s - 54216 = 0. What is s?\nAnswer: -18, -4, 502","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express q**2 - 6*q + 7*q - 4*q + q**3 in the form v + w*q**2 + i*q**3 + z*q and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.09? (a) -4 (b) -2 (c) -0.05 (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18125.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*z**2 + 0*z**2 - 16*z**2 + 5*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7092338?\nAnswer: 2, 11, 179, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58.677 - -4.75.\nAnswer: 63.427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c**3 + 7*c**2 - 1 - 2*c**3 + 2*c + 1 = 0 for c.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 482 + -227. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a tonne in kilograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 19, 3 in descending order.\nAnswer: 19, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 - 42 - (-1 + 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5202\/(-108) + 23 + 210\/(-28)*2\/18.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -130 + -8?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 42\/(-8)*24\/9. Let r be (-30)\/70 + 22\/n. Sort 3, r, -4 in descending order.\nAnswer: 3, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 789724 (base 13) to base 12\nAnswer: b54551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -91*g**2 + g + 57. Let k(t) = 144*t**2 - t - 86. What is 5*k(h) + 8*l(h)?\nAnswer: -8*h**2 + 3*h + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c + 6 = -6*c + 2*l, -2*c + 3 = l for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000003769 rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -240.9184 - -241. Round q to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 3:37 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.36135 - -0.26135. What is the nearest to -1.993 in 1, -0.2, r?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + i. Suppose -8*p + 3*p + 25 = i. Suppose 5*d - 208 = 4*s, 0*s + 162 = 4*d - s. Calculate the greatest common divisor of p and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) - (sqrt(33) - sqrt(132)\/sqrt(4)*3)) + sqrt(33))\/sqrt(3) + -1.\nAnswer: -1 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -139997 at least -139996?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011111110000 (base 2) in base 15?\nAnswer: -1c38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**2. Let b(p) = p**2 + 3*p - 1. Let o be b(-4). Let w(k) = -3*k - o*k + 4*k. What is w(d(h))?\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2822, -11756, -26646, -47492, -74294, -107052?\n\"Answer: -2978*k**2 + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-403 - 3*t + 403)*(0*t + 2*t - t) + 2*t**2 - t**2 - 2*t**2 to o*t + x*t**2 + l and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 5 = -3*m - 6*z, 5*m + 2*z + 13 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*i + 4*i + 3*i)*(-41 - 33 + 31) + 0*i - 2*i - i)*(-i - 2*i + i)*(-3*i + 3*i - 2*i**2) - 3*i**4 + i**4 + 3*i**4.\nAnswer: -871*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s**3 - 296*s**2 + 187*s + 882. Calculate l(98).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19822 and 4114?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/15, 0, -17, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 103 and 13798601?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -53.42 and 117.6?\nAnswer: -6282.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 6901*i - 34447. Calculate x(-5).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 z when four letters picked without replacement from {z: 12, v: 1, q: 6}?\nAnswer: 165\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (18\/(-8))\/((-1)\/4). Let q be 2*u\/(-6) - -22. Let g(t) = 34*t + 1977. Let z be g(-58). Solve -z*m = -y + 13, 2*m + q = 5*y - 0*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 3. Let v be j\/(-14)*7\/(-2). Is v > -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - y - y)*(-2*y + 0*y - 2*y) - 1354*y**2 - 663*y**2 + 1087*y**2.\nAnswer: -926*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -65009, 0.1, 1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 3 = -7*i + 3*j, -25*i + 22*i + 67 = -19*j for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 t when two letters picked without replacement from ttkktkkk?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 65.5\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + 3 + (sqrt(1152)*2)\/(sqrt(42)\/(sqrt(28)\/sqrt(4)))*2)**2.\nAnswer: -9264 - 768*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 1641*s + 8. Let v be h(2). What are the prime factors of 6\/48*-2 + v\/8?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 7*d + 1. Suppose -3*w = 3*g + 4 - 40, -5*g = 10. Suppose -2*v - w = -2. Let a(j) = 15*j + 2. Let f be (16 + -3)*(-2)\/(-2). Calculate f*o(z) + v*a(z).\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2922*s**2 - 2922*s**2 + 12*s**3.\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 882 and -8487784.02?\nAnswer: 8488666.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 * -0.07842\nAnswer: -0.0015684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-129))\/((-103896)\/57276)?\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11336542.02 rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11858767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xeyt when four letters picked without replacement from exttoyytyfo.\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 1:38 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n**4 + 4*n**2 - 4*n**2 + (6 - 6 - 3*n**4)*(-252 - 247 + 347) as z*n**3 + h*n**4 + y*n**2 + i*n + o and give h.\nAnswer: 453","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18\/11? (a) -1 (b) -4 (c) 1\/45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 880446443?\nAnswer: 4817, 182779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -148767 - -148767. Let m = 4 + -2. Suppose 0 = -3*q - 4*l - 4, q = -l - 1 - 0. Solve q = m*u - n + 10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1419588 and 162009?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -12*m + 32. Suppose 5*a - m*o - 11 = 0, o = 2*a + 2*o. Let i be (4\/35)\/((-6)\/(-15)). Is a equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 165\/(-10)*(-4)\/6. Let g(y) = -y + 13. What are the prime factors of g(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21833 to the power of 1\/2, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*o**5 - 12781*o**2 + 628326*o.\nAnswer: -120*o**3 - 25562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s - 3*b - 38 = -5*s, 5*s - b = -24 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21443641 (base 7) in base 6?\nAnswer: 103300011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192*r**2 + 219895*r - 219895*r + 1.\nAnswer: 192*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 g when three letters picked without replacement from gijigiijjiji.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)*-4*-1 - (6*(-5*sqrt(110) - sqrt(110)) + sqrt(110) - sqrt(110)))\/((2*sqrt(120)*-1)\/(-1*sqrt(432))).\nAnswer: 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/495 and -13\/317196.\nAnswer: 1585980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18863?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) + -3 - (-1 + sqrt(2))*5)*-1)**2 - (-3 + ((sqrt(180) + sqrt(180) + sqrt(180)*2)\/((2*sqrt(120))\/sqrt(12)))**2).\nAnswer: -63 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 - 9. What are the prime factors of 466\/10 - 21\/q?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that q**5 - 3761*q**4 - 52790*q**3 - 226396*q**2 - 392536*q - 241600 = 0.\nAnswer: -8, -2, 3775","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-24))\/((-7)\/14)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 189441, 189380, 189319, 189258, 189197, 189136?\n\"Answer: -61*o + 189502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17.67 in 2\/5, -0.4, 4.118?\nAnswer: 4.118","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - k**2 + k - 1. Let d = -23 + 59. Let r = d + -32. Let u(x) = 6*x**3 - 4*x**2 - 6. What is r*b(j) - u(j)?\nAnswer: -2*j**3 + 4*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k + 2 - 3*k**4 + 4*k**4 + 0 to the form i*k**3 + v + p*k + t*k**4 + m*k**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -5*x + 38, 2*x - 116 = -4*r - 0*x. Let y = -49 + r. Let g = y + 18. What is g rounded to 0 decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7497298 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -10397000 to the nearest 100000.\nAnswer: -10400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4576.959 + -4575. Let q = -0.059 + 0.1. Let g = q + y. Which is the smallest value? (a) 5 (b) g (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -6 + (-3 - -7) - -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 5*h - 22, 5*d + 7 = 9*h - 6*h for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 140637 and 7240?\nAnswer: 5625480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**3 + 14*g**2 + g - 6. What is the units digit of a(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.09, -0.2, 3 in increasing order.\nAnswer: -0.2, -0.09, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 742 + 77. Let n = 29 + -15. Let d be 108\/v - 4\/n. Which is the second biggest value? (a) -4 (b) 0.3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 56 = -4*t, 5*t = -a - 4*a + 20. Let q be (57\/(-76))\/(a\/(-12)). Calculate the highest common factor of q and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 8 = -0. Let u be ((-3)\/6)\/(-1)*s. Suppose 5*t + p = 17 + 8, 0 = t + 2*p - 5. Solve -t + u = 3*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 6825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z**2 - 4*z - 2. Let t(q) be the first derivative of 10*q**3\/3 - 13*q**2\/2 - 7*q + 147. Determine -7*s(u) + 2*t(u).\nAnswer: -u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c + 2?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29.9 - 30. Which is the biggest value? (a) -2\/7 (b) -4\/7 (c) 1\/14 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 5 (c) 0.4 (d) 0.078 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 37099120*j**3 - 20640231 wrt j?\nAnswer: 111297360*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32115.84 nanograms to tonnes.\nAnswer: 0.00000000003211584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 4*w - 4. Suppose -3*j = 5*b - 7, 1 + 0 = -2*b - 5*j. Let m(h) = -2*h**2 - 3*h + 3. Let n(z) = b*m(z) + 3*x(z). Give n(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 smaller than -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 12 = -5*r, 0 = -5*r + 729*w - 727*w - 8 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p + 37 = -4*n + 3*p, -4*p - 32 = 4*n. Let v be 585\/(-351)*(-2 - 1). Put n, 0, -1, v in decreasing order.\nAnswer: v, 0, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 164 + 294. Let r = -21 + i. Solve -r*h = 5 + 5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 660570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24102 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {z: 1, n: 2, k: 1, g: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1020*h + 5535*h - 164031 = 373254 for h.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -224340, -224344, -224348, -224352?\n\"Answer: -4*o - 224336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -5*z. Suppose -19 = -3*d + 4*u, 3*d - 3*u + u - 17 = 0. Let n(q) = -1369 - 9*q - 1344 + 4082 - 1368. Give d*x(v) - 3*n(v).\nAnswer: 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 70*l**6\/3 + 16*l**3\/3 + 217. What is the third derivative of i(r) wrt r?\nAnswer: 8400*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -4*f**4 - 2*f**3 + 16*f**2 - 10*f = 0.\nAnswer: -5\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 749 - 749.4. Sort -12, 5, -2, f.\nAnswer: -12, -2, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 60 = -2*k. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/(-72) - (-115)\/(-15).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3279550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 54 = 2*q. Let m be 3 - ((-24)\/(-1))\/(9\/q). Let v = m - -309. Calculate the greatest common factor of 24 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -v + 7. Solve -2 = -3*b + u + v, 4*u = -8 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (91*p - 2*p**3 - 175*p + 87*p)*(1 - 1 + 2*p).\nAnswer: -4*p**4 + 6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(-4) - 130\/(-40))*16\/6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 48 + -70 + 5 + 62?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of q**4\/4 - 3*q**3 + 9*q**2\/2 - 2. What is the remainder when 23 is divided by b(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 562425310 to the power of 1\/5, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (6888\/(-4305))\/(20\/2)\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.83 times 0.07?\nAnswer: -0.1281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 3 + 2*(-2 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**2\/2 + 185810*p + 19698669\/2 = 0 for p.\nAnswer: -53, 371673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/9 (b) 0.2 (c) -1\/4 (d) -112 (e) -3\/4 (f) 4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -83.9 - -84. Which is the third smallest value? (a) -1\/4 (b) -3 (c) j (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 328157 by -59.\nAnswer: -328157\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of (-1848)\/(-7)*-1*(-10)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.485 + -0.25. What is l rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/41567509 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**3 - 24*v**2 - 17*v + 235. What is the remainder when 515 is divided by z(12)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24)*-5)\/sqrt(8))**2 + sqrt(24)\/(sqrt(8) + 3*sqrt(8)).\nAnswer: sqrt(3)\/4 + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5634 divided by 5?\nAnswer: -5634\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 9*d + 37 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -278 = 4*p - 2*z, -z + 183 = -3*p - 26. Let q = p + 103. Suppose 0*s - 3*s = -q. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -265\/1276 + 3\/116. Which is the nearest to 0.1? (a) 2\/3 (b) k (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100000010111010 - -10?\nAnswer: 10100000010111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2808265366 is divided by 9012?\nAnswer: 9010","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6023193*j**2*p**4 - 354807*j**2*p**2 + j**2*p + j wrt p?\nAnswer: -144556632*j**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 0 - 24. Let s(r) = -10 + 6 + r - x. What is s(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -121937, -121935, -121931, -121925, -121917, -121907, -121895?\nAnswer: -121881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 23 + 18 - 116*t**2.\nAnswer: -116*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2 + 27*q - 58. Let g be v(2). Let m = -49 + 443\/9. Which is the biggest value? (a) -2 (b) g (c) -0.2 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2037072.0906 + 2036936.09060077. Let v = n + 136. Round v to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 291, -1.96, -2\/15 in increasing order.\nAnswer: -1.96, -2\/15, 291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 861 and 12195.\nAnswer: 3499965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 11) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(((-8)\/21)\/(-31*(-228)\/12369)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3251)\/(-9) - 5\/((-45)\/(-2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-376)*(-51)\/(-34)*48\/(-27).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 487818 is divided by 243893?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6500 + 3?\nAnswer: 6503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -50, -155, -334, -593, -938, -1375, -1910?\n\"Answer: -f**3 - 31*f**2 - 5*f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -45 and 69552.3309.\nAnswer: 69507.3309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - a**2 - 3*a**2 + 2*a**2 + 0*a**2 + (-1 + 4 - 2)*(4*a - 4*a + a**2) + 2*a**2 - 2 + 2 + 5*a + 0*a - a**2 + 3*a**2.\nAnswer: 3*a**2 + 5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.084 and 3579.\nAnswer: 3579.084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2645502782.\nAnswer: 2, 13, 1523, 66809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.02, -5, -3, 2\/3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 721 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 3b?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96833 is divided by 1641?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f + 11 + 2*f - 2*f. Let r(w) = 2*w**2 + 202*w - 4833. Let t be r(-121). What is s(t)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 51202398440 to the nearest one million.\nAnswer: 51202000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-3\/8)*r*r**5)\/(r\/r**(1\/6)*r*r\/(r*r*r*r*r\/r**(-1\/6))) assuming r is positive.\nAnswer: r**(215\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 9:29 PM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, c: 2, n: 5}. Give prob of picking 1 n and 2 c.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 1893*k + 2508. Let q(j) = 7569*j + 10040. Let h(v) = 17*o(v) - 4*q(v). Differentiate h(d) wrt d.\nAnswer: 1905","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l**2 + 295*l - 7206. Determine j(54).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.144456 rounded to four dps?\nAnswer: 0.1445","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -0*t. Suppose 2*g = -t*g. Suppose g = 5*r - 30 - 205. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-6*((-3 + sqrt(1377))*4 + (sqrt(1377) - (sqrt(1377) + 3*(sqrt(1377)*-1 - sqrt(1377))))))**2 + 0.\nAnswer: -77760*sqrt(17) + 4962386","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-148040513\nAnswer: 44412153.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 8, c: 5}. Give prob of picking 2 c and 1 h.\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 4:03 AM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7116 a factor of 702583494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 71025 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 8 - 17 = 0. Let h(j) = j**3 - 10*j**2 + 14*j - 5. Suppose -45*g - 331 = -3841. What is the remainder when g is divided by h(i)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of 7*z**5\/20 - 1151*z**4\/3 + 3283*z**3\/6 + 657*z**2 + z + 3066. Factor j(o).\nAnswer: (o - 657)*(o - 1)*(7*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - i**2 + i - 42. Give h(0).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6438.8 and -32710?\nAnswer: -210613148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*a + 12 = -30*a. Suppose -w + 66883490 = a*w. Let r = w + 2023302. Round r to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*s**3 - 169*s**3 - 51*s**3 + 172*s**3 - 61*s**3 - 56*s**3.\nAnswer: -244*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*q - 1545, 2*i - 5*i - 1560 = -3*q. Calculate the greatest common factor of q and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = p - 621. Let r = p + -127. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5093*y - 5113*y + 1263940. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13600*f - 2434 - 2447 + 4881 + 2*f - 3*f - f + (4 - 8 - 4)*(1 - 1 + 2*f).\nAnswer: -13618*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a + 2. Let y be b(0). Differentiate -60*m - 27*m**y + 11 + 60*m with respect to m.\nAnswer: -54*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 303731404?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2562 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1*sqrt(18) + sqrt(1782)\/sqrt(11)))**2.\nAnswer: 4608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3236*a**3*r**3 + 99*a**2*r**3 + 2*a**2*r**2 + 17*a**2*r wrt a.\nAnswer: 19416*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*((w*w*w**(-4))\/w*w)\/w)\/w)\/(w*w**(-1\/7))*(w\/(w\/(w*w**(-5)*w*w*w)*w))\/(w\/w**(-1)))**14)**(-2\/35) assuming w is positive.\nAnswer: w**(44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Is 8896279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/35272 and -81\/406051264.\nAnswer: 406051264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -14*a**3 + a**2 + 3*a - 3. Determine n(2).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 13 + (-7 - (-1 + -3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3504\/11 - 17541\/55. Let k = 5970\/319 - 548\/29. Let s = k - x. What is the smallest value in 3, 0.3, -0.1, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-552)\/(-46))\/((-32)\/(-24)*1)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 978970555?\nAnswer: 5, 195794111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 2*j - 4. Let h be z(4). Suppose 2*q + 2 = 0, -2*p + h*q + 199 = 3*p. Calculate the remainder when p is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64.46889 rounded to 0 dps?\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1819 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1189489305 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + (-2 + (-2)\/(-1) - 2). Let t(s) = 11*s + 70. Let g be t(i). Suppose -b - 2*b = -24. Calculate the greatest common divisor of b and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7725, 32522, 73851, 131712, 206105?\nAnswer: 297030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 7:03 AM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -g + 23, 0*l - 3*l + 23 = -4*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + (-5 + (sqrt(168)\/sqrt(3)*-4)\/(sqrt(8)\/(sqrt(4) - (sqrt(40)*-2)\/sqrt(10))))**2)*-5.\nAnswer: 3600*sqrt(7) + 60870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -107036917 * -4\nAnswer: 428147668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 32*g*n**3 + 15*g*n - 23817*g + 94334757*n**3 wrt g.\nAnswer: 32*n**3 + 15*n - 23817","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 487.1396 litres in millilitres?\nAnswer: 487139.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12.9 - 13. Let u = i - -0.1. What is the third smallest value in 4, 1\/4, u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of y**4*z**2 + 15*y**4*z - 3*y**3*z**2 - 22*y**2*z**2 - 4*y**2*z - 3*z**2 + 6*z wrt y?\nAnswer: 24*y*z**2 + 360*y*z - 18*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmnmmdmmdrmmcdcmmdr. What is prob of picking 1 n, 1 r, and 1 d?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s + 0 + 4\/5*s**2.\nAnswer: 4*s*(s - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 9, -6\/43, -0.4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 1 - 9*x**2 + 0 + 1 - 3*x**3 + 2*x**3 - 8*x. Let y = -30 - -33. Let a be (0 + y)*32\/(-12). Calculate c(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-3 + 5 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 c, and 1 i when three letters picked without replacement from {i: 5, l: 4, d: 7, c: 2}.\nAnswer: 35\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6684, -216, 10.\nAnswer: -216, 10, 6684","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 4*v + 72648, 39*v - 42*v - 54510 = n. Round v to the nearest one thousand.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**4\/13 + 8*y**3\/13 + 82*y**2\/13 - 432*y\/13 + 504\/13 = 0. What is y?\nAnswer: -7, 2, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(13) + sqrt(13)*-2 + sqrt(13) - sqrt(13)) + sqrt(13))**2)*4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 112, 424, 920, 1582, 2392, 3332, 4384?\nAnswer: 5530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -36213 divided by 327?\nAnswer: -12071\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4349, 4319, 4239, 4085, 3833, 3459, 2939, 2249?\n\"Answer: -4*y**3 - y**2 + y + 4353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 8:17 AM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0*r = -4. Suppose -2*g + 3*g + r = 4*w, -w + 3*g = 10. What are the prime factors of (-146)\/(-4) + w\/(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**3\/8 + 3303*l**2\/8 + 1647*l + 3291\/2 = 0. Calculate l.\nAnswer: -1097, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9635973 and 9285?\nAnswer: 1857","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 973.\nAnswer: 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 28, 104, 186, 274?\n\"Answer: 3*a**2 + 67*a - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 9*h + 6. Let i be m(9). Let y be -6*((-16)\/i + 2). Let v(d) = d + 2. Let k be v(y). What is the highest common divisor of k and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -13034500, -26068990, -39103480?\n\"Answer: -13034490*c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from klglivkiw. Give prob of picking 1 g, 2 k, and 1 l.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -754*j - 1353. What is l(-2)?\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of -7*y**6\/120 - y**5\/60 - y**4\/24 + y**3\/6 + 14*y**2 + 10*y. Determine w(2).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 2\/9, 183586, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/538300 and -51\/13?\nAnswer: 6997900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2507 is divided by 611.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34*(-41)\/(-82) + -1*9.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 12:08 PM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -11*c + 7. Let s be x(2). Suppose 5*b = -0*z - 2*z + 44, -5*b + 2*z + 36 = 0. What is the least common multiple of b and (-6)\/s*85 + 4?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -983.5 + 983. Which is the third smallest value? (a) 5 (b) -0.3 (c) -4\/9 (d) -6\/11 (e) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1453537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 24*f**2 + 176*f - 66. Let y(d) = -26*d**2 - 176*d + 67. Let h(i) = 7*k(i) + 6*y(i). Factor h(o).\nAnswer: 4*(o + 15)*(3*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**3 - 22*o**2 + 709*o + 7285. Give m(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24.900742 + -24.89. Round b to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/3)\/(-14 - 164\/(-12))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p**3 + 59*p**2 - 266*p - 5086. Determine s(-20).\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -403? (a) -2\/5 (b) 5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1008) + sqrt(1008))*6.\nAnswer: 6 + 144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1*(-2)\/(-4))\/(-3). Let r = s - -23\/66. Let d = -10\/9 + 52\/63. Sort r, d, 0.4.\nAnswer: d, r, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 243 and 137556?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2758?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**5\/3 - 5*y**4\/3 + 5*y**3\/3 + 5*y**2\/3 - 2*y = 0.\nAnswer: -1, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x, 0 = 2*p - x - 4*x + 2. Let j be (-1 + -2)\/(p - 0). Suppose -4*u + j*u = -149. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkmmktmztlkklkkmt. Give prob of picking 1 m, 1 t, and 1 l.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 4)*(3 - 1 + 0)*(0*y**4 - 2*y**4 - y**4).\nAnswer: 6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddgdkkddgdwwk. What is prob of sequence kkk?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 + -20. Calculate the common denominator of -9\/5 and 68\/(-20)*(l + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + p + 1. Let n be s(-2). Suppose 0 = 2*y - 4*y - 4*a + 26, 0 = -n*a. Solve 5*j = 4*h + y, h + j - 3 = -4*j for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kwhkq. What is prob of picking 2 q and 2 w?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.98288123 rounded to three decimal places?\nAnswer: -8.983","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -122 - -249. Suppose 0 = 4*y + 31 - p. Let q = -24 + y. Solve q = c - 5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000067188 to seven dps.\nAnswer: 0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n - 17 + 15 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2*(10 + 279\/(-18))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 c when four letters picked without replacement from {c: 4, h: 10}.\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 8*f**2 + 12*f. Let d be w(-6). Solve d = -4*i - 82 + 70 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x - 12 + x + 12 to w*x + h and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140662 is divided by 1327?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/741, 3\/7, -5, -4, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 415010 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3746 is divided by 340.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/9, 0.3, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 136128071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2757172 plus 23?\nAnswer: 22.7242828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and 224796288.834?\nAnswer: 224796289.234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k**2 - 8*k**2 + 0*k + 0*k.\nAnswer: -13*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 3*a + 2*q - 1215, -4*a = -4*q - 1628. List the prime factors of a.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-5*(0 + sqrt(76)) - sqrt(76) - sqrt(76) - (-2*sqrt(76) + 5)))**2*-2.\nAnswer: -3898 - 280*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4563 in 5, 0.5, 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -122*m**3 - 496*m**3 + 1002*m**4 - 1003*m**4 + 5516*m**2 wrt m?\nAnswer: -24*m - 3708","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008407 to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 57436070 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 1 = 1. Suppose l + 15 = 2*g. Let n = 15 - g. Does 7 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-244)\/70 + 4 - 24\/30?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 50\/375 + (-5036)\/(-30). Suppose 2*x - 6*x = -c. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3\/29 + 67\/87. Let a be ((-30)\/40*1)\/((-18)\/(-4)). What is the closest to 0.9 in 1, p, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -356, -5, 16, 1, 5, 0 in descending order.\nAnswer: 16, 8, 5, 1, 0, -5, -356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1053810 to the power of 1\/2, to the nearest integer?\nAnswer: 1027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67789, -69447, -71105, -72763, -74421?\nAnswer: -76079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-4 + sqrt(11) + sqrt(539))*1 - (sqrt(539)*5 - (3 + sqrt(275) + sqrt(11))))**2.\nAnswer: -798*sqrt(11) + 4412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 445 - 236. What is the highest common divisor of n and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of 27*o**2\/2 - 39*o - 1. Suppose 7*r - 3*r - 5*y = 54, -12 = -r + 2*y. Is h(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 2*c + 274000, s = -c + 58673 - 195673. What is s rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-266)\/19*(-5)\/(20\/(-4)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 297682 or 6846684\/23?\nAnswer: 6846684\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/4 and 43\/1862370.\nAnswer: 3724740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -35*y + 11 + y + 14*y + 2*y. Give j(2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express o**4 + 2*o**2 - 2*o - 9 - 47*o**3 - 52*o**3 + 101*o**3 in the form a*o + v*o**4 + x + l*o**2 + d*o**3 and give x.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 15*c**2 + 10*c - 1. Let o be m(12). Let x = o - 16. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/688 - 0) + (-96910)\/(-2365)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/20712 and 85\/24.\nAnswer: 20712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3089 - -3092. Let b(x) = x**2 - 7*x + 9. Let r be b(8). Solve -t = 4*m - 17, r = 2*t + 3*t + o*m for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -231, 2\/5, -0.03, 5, 0.5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -60.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p + 5. Let j be t(0). Solve -14 = -j*y + 6 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 600.42816 nanoseconds in hours?\nAnswer: 0.0000000001667856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -230*t + 31. Suppose 136*i = 138*i + 150. Let y be 3\/(9\/(-52)) + (-25)\/i. Is d(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(56)\/sqrt(2))\/sqrt(4).\nAnswer: -3 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -3*p + 5*c, 5*c - 20 + 0 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.49 + 0.49000092. What is f rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of 3*j**3 - 15*j**2\/2 + 16*j - 7047. What is b(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -2*k + 5280, -5*k = -22*g + 18*g + 21068. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t - 7. Let q be g(5). Let k be (-4)\/(1\/(q\/6)). Let d = k - 9. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 207380656 to the nearest integer?\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 270853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50596008 + -50596036.999963. Let j = -29 - s. Round j to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**2\/3 - 55024*m\/3 - 55025\/3 = 0 for m.\nAnswer: -1, 55025","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 819, -1, 559\/9?\nAnswer: 819","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*l**3 + 2*l**3 + 4 - 1 as a + c*l + q*l**3 + g*l**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 7*n**7\/3 + 217*n**6\/15 + 128*n**5\/5 - 4*n**4\/3 - 80*n**3\/3 + 16*n**2 + 5*n. Solve w(a) = 0.\nAnswer: -2, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -1. Let y be 6\/(-15) - (-1086)\/p. What is the common denominator of (1 - 2)*y\/(-6) and 101\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17157837 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 655299*p**2 - p + 1123173 wrt p?\nAnswer: 1310598*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 12:33 AM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 899 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1612 divide 14009892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/(-12) - 4\/(-6). Let r = 2 + d. List the prime factors of (r\/6)\/(4\/30).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 300211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - 0. Let o = 11.2 + -9.02. Let l = o + 2.82. Which is the third biggest value? (a) q (b) l (c) 4\/7 (d) -0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -19401474, -6 in ascending order.\nAnswer: -19401474, -6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g + 9. Let z be r(-10). Let n = 121 - z. Let d = 135 - n. Does 16 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wxxooojxgoxwwxm. What is prob of sequence wx?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 85632*v**6 + 16473*v**2?\nAnswer: 10275840*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(19) - (sqrt(19) - (-2*sqrt(931) - sqrt(931) - sqrt(19)))) + sqrt(19) - sqrt(19))**2 + sqrt(76)*-3).\nAnswer: -55176 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of 7*g**4\/2 - 13*g**2 + 27. What is the second derivative of s(t) wrt t?\nAnswer: 84*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 10. Suppose -g + 3*g - s = 0. Calculate the highest common divisor of 22 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 218231*-20\nAnswer: -4364620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 4. Let s = 46 + -137\/3. Let y = 590\/7 - 84. Which is the third biggest value? (a) y (b) f (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-4))\/(47\/82062*126)?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*b + 380 = 0. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -27*i**5 - 399*i**4 - 72*i**3 + 10296*i**2 - 18480*i + 3600 = 0.\nAnswer: -10, 2\/9, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 - -24.5. Let q = -0.5 + b. Put -2\/17, q, -2 in descending order.\nAnswer: q, -2\/17, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/5 - 90*g + 5112\/5.\nAnswer: 2*(g - 213)*(g - 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*t + 1 = 109 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pyfppyzypypyppyfyyz. What is prob of sequence ppf?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-7)\/(-3))\/(1\/(-3)). Let a(u) = -u**3 - 8*u**2 - 8*u - 10. Let f be a(h). Let x be 3\/f*110\/2. Round x to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a - 20. Determine z(23).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**2\/7 - 16*c - 354\/7 = 0?\nAnswer: -3, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmoommm. What is prob of sequence omom?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/(-100))\/((-48)\/360))\/((-12)\/10)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 132\/(-21) - 4\/(-14). Let w = t - -8. Solve -7*c + 10 = -w*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/11, -2704\/11, 107, -1.\nAnswer: -2704\/11, -1, -1\/11, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 291 - 6*c - 3*c + 3*c - 6*c + 15*c.\nAnswer: 3*c + 291","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29249947.000033 - -29250010. Let u = 63 - l. What is u rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2573*z - 20418 - 18177 = 0 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 875 by -175.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wzxwxwxwwt. Give prob of sequence twxz.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60*l + 58*l - 118*l + 13 + l**3 to m*l**3 + k + a*l**2 + f*l and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + 3*d + 12. Calculate w(-7).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 10\/7, -3, -1\/11, 12\/5?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3882201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5224 divided by 6.\nAnswer: 2612\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 84825 rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/128 and -31\/46267776.\nAnswer: 46267776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-one halves of a micrometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 543826 and 10804?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 0 (c) 1 (d) 2696 (e) -1\/2 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 5*z - 2. Let x be r(-2). Let k be (-4)\/x - 119\/(-3). What is the highest common divisor of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/15)\/((-1)\/(-5)). Let y be 4\/(-2) + 2\/x. Let m(w) = 16 - 30 + w + 13. What is m(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -248 + 250. Suppose n*h = 3*g + 656 + 247, 5*g = 4*h - 1809. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of b**2 - 3*b - 4. Calculate v(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*k + 2*b, -2965*b = -5*k - 2966*b + 10 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/80)\/(64\/3328)?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 740*b - 347 = -2543*b + 134256 for b.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - t + 1 = -3*p, 5*t + 15 = 5*p. Let i be (-12)\/(1 + p) + 0. Let z(x) = -x**2. Let b be z(0). Sort b, -3, i in ascending order.\nAnswer: i, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*w, 6 = 3*o + 4*w - 11. Let s be -4*(o\/18)\/1. Let u = -6 + 8. Sort u, 0.3, s.\nAnswer: s, 0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191066?\nAnswer: 2, 83, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3366 and 2057?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187*p - 6 = -185*p, -3*r = 3*p - 21. Let u be -581000 - (0\/(-3))\/((-30)\/r). What is u rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 9*(-5 + 4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.0323 + -0.0323. Put -7\/13, 0.5, k in decreasing order.\nAnswer: k, 0.5, -7\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2414 = 18*u + 1010. What is the least common multiple of u and 102?\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**0\/(q*q**(-2)))\/(q**(1\/5)\/q*q)**(-11))**(-2\/59) assuming q is positive.\nAnswer: q**(-32\/295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -445.3 + 426. Let d = o - -19. Which is the nearest to 0.03? (a) d (b) -1\/4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbb. Give prob of sequence bbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 2882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/9)\/j**(-1\/5))\/(j\/(j*j*j**0))**(-2\/11))\/((j**(-1))**41\/(j**(1\/3))**(-37\/4)) assuming j is positive.\nAnswer: j**(75551\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4754802 by 13.\nAnswer: -365754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 5*b**2 + 3*b - 4. Let k be s(3). Suppose 1 = -2*q + 41. What is the highest common divisor of q and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -109\/31 + 5369\/1333. Let j = -1\/86 + k. Factor 0*c - j*c**3 - 1\/2*c**4 + 1\/2*c**2 + 0 + 1\/2*c**5.\nAnswer: c**2*(c - 1)**2*(c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*3*-1 + sqrt(153) + 2*sqrt(153)*1)\/(5*(sqrt(324)*2 + sqrt(9))*6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 3848, 2\/13, 1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((-2)\/(-6)*1). Suppose 4*u - 2*t + 7 = -7*t, 5*t + 23 = 4*u. Let 7*b**u - 11*b**i - 2*b**2 + 4*b**3 + 2*b = 0. Calculate b.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 4. Let y(q) = -q**2 + 6*q - 1. Suppose 0 = 2*o + o - 12. Let z be y(o). Solve -4 = w + 2*p, -7 = z*w - j*w - 3*p for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*q + 2*v + 24, -3*q - v = -13. Solve 3*p = 6 - 0, -q = 4*l + 2*p for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/14)\/((72\/(-28))\/(-6))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 103*k**2 - 203?\nAnswer: 206*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -5 - 5. Suppose -3*t = i*p - 17, -4*t + 3*p + 5 = -46. What is the highest common factor of t and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 739 = -2*f - 0*c, -c = f - 387. Find the third derivative of -q**4 - 340*q**5 + f*q**5 - 2*q**4 + 112*q**2 wrt q.\nAnswer: 2520*q**2 - 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**2 + 4945 - 4945.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 0*l**3 - 2 + 4 - 3 + l**3 + 2*l**2. Suppose 0*d = -3*d - 3. What is r(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35287 divided by -1.\nAnswer: 35287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 3*s - 15, q - 5*q - 2*s + 30 = 0. Suppose -r = q - 7. Are 1\/14 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x + 4. Give m(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 + -14. Suppose 0 = -4*v + f*v + 2. Let y be (3\/(-90))\/(-1*(-4)\/(-16)). Do v and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -194618?\nAnswer: 3\/97309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (41 - 37 - -10) + (0 - 13) - -84.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/17? (a) 2 (b) -6.46 (c) 69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 23*u + u**2 - 55 + 55\/3*u**3. What is the first derivative of o(l) wrt l?\nAnswer: 110*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1257 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -260 divided by 8?\nAnswer: -65\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26456464.\nAnswer: 2, 113, 14633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 429\/7 (b) -5\/3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/((-805)\/276))\/(256\/(-40) + 6).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - v**2 - 5. Let b be o(0). Suppose 0 = w + 2*u - 3, 4*u + 33 = 3*w - 26. What is the remainder when (-2 - b)*(-37)\/(-3) is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.5877 + -3.3011. What is c rounded to 2 dps?\nAnswer: -2.71","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*p + p + 5*p)*(-2 + 0 + 0) + 0*p - 2*p + 0*p + 9*p - 15*p - 24*p - 4 in the form s + o*p and give o.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -70 (base 13) to base 3\nAnswer: -10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 184 + 176 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(125) + (-2*sqrt(125) + 2)**2 - 2*sqrt(125)*2.\nAnswer: -55*sqrt(5) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 98*j - 11157. Give x(114).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 154*v - 109. Calculate c(12).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-14490)*-23)\/(-3 - 125\/(-42)).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6268 and 40742.\nAnswer: 81484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t - 1. Let f = 9 + -9. Let i be q(f). Let w = 3 - i. What is the lowest common multiple of w and 11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ktttktttktt. What is prob of picking 3 k?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(175) + (sqrt(175) + 0 + sqrt(175))**2*-6 - ((sqrt(7) - 3*(sqrt(7) + 1))**2 + -2)).\nAnswer: -4237 - 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -720 - 3*s**3 + 1427 - 707.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 128 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*d - d. Let r be (-6)\/(d\/(-3) + 0). Let b = r + 9. Is 2\/9 at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 270 - 215. Let w = 317\/6 - z. Which is greater: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 203 and 4901.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 4*c**4 + 8*c**3 - 20*c**2 - 24*c = 0.\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 11110100111000101 (base 2) to base 7\nAnswer: 1031354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/158 and 101\/12.\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lzl when three letters picked without replacement from elelekaez.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3453 (base 7) to base 11.\nAnswer: -a49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/189 and -11\/252.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-3) + 6 + (-78)\/24)\/((-4)\/(-18))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -93 + 13828*m**4 - 88 + 31 - 2*m**3 + 2*m**2 - 6910*m**4 - 6915*m**4 to i + l*m**3 + n*m**2 + v*m**4 + t*m and give i.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47042767424757.1 + 47042760184479.13899961. Let a = y + 7240278. Let n = 0.039 - a. Round n to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44352 = 1009*m - 68245 - 67926 for m.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 389177011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1098594\/19 less than or equal to -57820?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1057610 and -3?\nAnswer: 1057613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/96 and 71\/216.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*w**2 - 20 - 4 + 6 - 6 - 22.\nAnswer: 148*w**2 - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 9.67471.\nAnswer: -1.934942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjdj when four letters picked without replacement from ddjdddddjddddddjddj?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31\/4 - 209\/28. Suppose 25 = -5*t, -15*r = -16*r - t - 4. Sort b, r, -9 in increasing order.\nAnswer: -9, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 576602*d**3 - 1153188*d**3 + 576589*d**3.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 5*s = 3*r - 32, 0 = -4*r - 2*s + 8. Let n = 7 - 6. Let g(x) = -x + 17. Let u be g(14). Put n, u, r in decreasing order.\nAnswer: r, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 7*a**2. Let r(s) = -322*s**2 + 1 + 128*s**2 + 132*s**2. Give r(m(u)).\nAnswer: -3038*u**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*s + 3 = 0, -9*s - 12 = -7*p - 6*s. Solve 5*t + 2*d - 19 = 0, p = -4*t - 3*d + 14 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*v**5 - 3*v**2 + 10*v**2 + 0*v**2 + 10*v**5 wrt v.\nAnswer: 240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 12:13 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4386, 0.1, 7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*p + 20*p - 94 + 25 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2368, 4817, 7264, 9709, 12152, 14593?\nAnswer: 17032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -240.576226333 - 305.423773335. Let w = 546 + l. Round w to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q + 15. Let t be h(14). Is t smaller than -4\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001620022 rounded to five decimal places?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.0586 = -5\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4724 + -5?\nAnswer: 471b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7037 and 349091?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1080 - -1083. Let j(o) be the first derivative of 0*o + 0*o**b - o**5 + 6 + 5\/4*o**4 + 0*o**2. Determine k so that j(k) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 425\/42 - 59\/6. Put -11\/2, m, -2 in decreasing order.\nAnswer: m, -2, -11\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 20424103?\nAnswer: -20424104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4319498 by -2159749.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -4*c**2 + 4*c. Let x be f(4). What is x rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = s - 40, -2*s = 2*s. Let k be (28\/16)\/((-2)\/(-8)). Let p(h) = -3*h**2 - h**2 + g*h + k + 0*h**2 - h**3. Determine p(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 s when two letters picked without replacement from {h: 3, m: 3, s: 5, r: 1}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y + 99 = 12*y. Let b = -22 - y. Calculate the remainder when 62 is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2075 at most as big as -603?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 79*w**3 - 66113*w**2 - 8368*w - 1669. Give s(837).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 1 + 4*z**2 - 1 - z**2. Let b(x) = -2*x. Give t(b(w)).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 522109?\nAnswer: 7, 74587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5*w = 3*r + 3, -w - 18 = -5*r. Suppose 2*t = 3*p - 34, 3*p = -2*p + r*t + 57. What is the remainder when 22 is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.41 - -3.41. What is the closest to -3 in 2\/7, w, 0.4, 3\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + (-7)\/14 + -1. What is the third biggest value in x, -0.2, -1.9, -4?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 2396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 56 - (-7509 - -7467)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**2*u)**(2\/15)\/(u*(u\/(u\/(u*u**7)))\/u*u*u*u**(-4)*u) assuming u is positive.\nAnswer: u**(-33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (204\/1190)\/((-16)\/(-80)*-21)\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -3. Let g be (9\/2)\/(-3*u\/200). Calculate the common denominator of 31\/11 and (-355)\/g + 2\/(-3).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -413*i - 5*i**2 - 7*i**2 - 824*i + 1237*i.\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*x - 75 = 622 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 19*m**2 + 4*m - 702. Determine p(-16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/5 of a litre in millilitres?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3240 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81919259?\nAnswer: 81919259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 346190929?\nAnswer: 7, 1009303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 4*r + 3. Let a be g(4). Is (-873)\/6*(-2)\/a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.17 + -4.17. What is the nearest to 0 in 0.5, j, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 11*r**3 - 4*r**2 + 25*r + 5. Let m(s) = 28*s**3 - 10*s**2 + 49*s + 11. Determine -5*i(v) + 2*m(v).\nAnswer: v**3 - 27*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-148)\/(-2109)*15\/(-50)\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -8, 4*g = r + 4 + 8. Suppose h - 6*w = -7*w - 67, h - g*w + 58 = 0. What is the remainder when (-2)\/((-60)\/h + -1) is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2122010 - -333?\nAnswer: 2123003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1 (b) -178 (c) 1.1 (d) 0.03 (e) 1\/3 (f) 2\/7 (g) 7\/62\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.11039 in 1, -2, 7, 34?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 31, 39, 51, 67?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 5:05 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1947, -0.8, 4, 1\/6, -26, -3 in descending order.\nAnswer: 1947, 4, 1\/6, -0.8, -3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10665 divided by 2133?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 10732 - 57678 = 0. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-2)*17\/(-34). Suppose -b + 2 = z, 5*y - b - 4 = 9. Suppose 0 = 5*l + g - 574, -4*l = 4*g - y*g - 459. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) 3\/4 (c) 2\/15 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3a8e + 5?\nAnswer: -3a89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5559620 divided by -252710\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -93323, -93393, -93463, -93533, -93603, -93673?\n\"Answer: -70*p - 93253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + -13. Suppose 204 = 2*z + o*z. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 335, 1341, 3017, 5363, 8379, 12065, 16421?\n\"Answer: 335*j**2 + j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1023 = 8*j - 543, 6*j - 115 = i + 8*j for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13\/28 + -5\/7. What is the nearest to 1\/5 in i, -6, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 5*r - 5. Let i be l(-4). Is 26*((-2)\/4)\/i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70 and 1850.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert bffb7 (base 16) to base 6.\nAnswer: 24504315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + -6*(-26)\/4 + 2. Calculate the highest common divisor of u and 310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5930 is divided by 192?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1459.89 - -1460. Which is the closest to -1? (a) 1\/8 (b) u (c) -1 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-24078)\/(-18) - (-6)\/(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 5*w**3 + 2*w**2 - 3*w - 4. Let k(n) = -4*n**3 - n**2 + 2*n + 3. What is -2*c(m) - 3*k(m)?\nAnswer: 2*m**3 - m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1*(0 + -4 + -111)?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -232350 - 102?\nAnswer: -232452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*t**3 + 122735*t**2 - 226636*t - 37772.\nAnswer: (t - 2)*(t + 9443)*(13*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -86 + 81. Suppose -3*a - 9 = 4*u, 22 = a - 5*a - 2*u. Sort a, c, -4.\nAnswer: a, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11\/51 + (-10)\/(-85). Let d(l) be the first derivative of 0*l + 3 + 2*l**2 - o*l**3. Calculate d(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 3*x = -30. Determine l so that 1\/2 - l**2 + 0*l**x + 0*l + 1\/2*l**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2346, 2352, 2368, 2400, 2454, 2536, 2652?\nAnswer: 2808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-2 - 2)) + -15 + 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19448 = -5*j + 3168. Let c = -1523 - j. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1115574068 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 131 + -138. Does 23 divide 2*(117\/f)\/(-3)*14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.6, -4, 91\/6, 5\/6, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3 - 4\/3*r + 2\/3*r**2.\nAnswer: 2*(r - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1831 + -179. List the prime factors of t.\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 3*j + 16. Let f be w(6). Suppose z - 3 = -1. Let o = 21552\/13 + -1658. What is the closest to z in 2, f, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**4 - 28*y**3 + 70*y**2 - 44*y = 0. What is y?\nAnswer: 0, 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - o - 14 = -3*o, -5*o = -2*n. Suppose 20 = 5*v, n*d = 3*d - v + 12. Solve -3*w + d = -8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273 is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1072 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -207\/223?\nAnswer: -207\/223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2250 is divided by 2231.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*5*sqrt(156))\/(sqrt(432)*-4 + sqrt(12)))**2*-5.\nAnswer: -14625\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2619*u**3*v**2 + 147*u**2*v**3 + 787*v**3 - 210*v wrt u?\nAnswer: -7857*u**2*v**2 + 294*u*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 5 + 5*g + 2*g**3 - 2*g**3. Let u(y) = -y**2 + 140*y - 799. Let m be u(6). Let z(o) = o**3 + 6*o + 6. What is m*z(b) - 6*x(b)?\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 245 + -7. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3 + -6*-5*sqrt(300)*-2*5).\nAnswer: -18000*sqrt(3) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (822 + 730 - 341)*(-3*o - 2*o + 3*o).\nAnswer: -2422*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.29 in 2\/15, 1, 3, -6?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6603268577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4702637?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i + 24. What is g(0)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*j - 9\/4 + 5\/4*j**2 + 1\/4*j**3.\nAnswer: (j - 1)*(j + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 2\/2739 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1374055*m**2 + 215473*m?\nAnswer: 2748110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, d: 9, o: 4}. What is prob of picking 3 j and 1 d?\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k - 2. Let m be z(2). Suppose 12 = -m*x + 3*x. Let l be (x\/32)\/((-6)\/(-4)). Which is the third smallest value? (a) -3 (b) -5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(2\/(-7))*14 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -159*x - 34 - 22 + 86*x + 85*x. Calculate the smallest common multiple of h(5) and 86.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 262*u - 259*u + w - 43, 5*w = 24*u + 215 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*p + 3*a - 300, 0 = -2*p - 4*a + 598. Let o = 574 - p. List the prime factors of o.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 3*u = -18, 5*u + 1378 = 1398 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 4*t - 5. Let k(u) be the third derivative of -u**4\/3 + 11*u**3\/6 - u**2 + 10*u. Calculate -3*k(i) - 7*s(i).\nAnswer: -4*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nxwxxnxwnn. What is prob of sequence xn?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 216, 633, 1050, 1467?\nAnswer: 1884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -71452, -285864, -643216, -1143508, -1786740?\n\"Answer: -71470*p**2 - 2*p + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r + 6. Let o be -2 + (3 - (-1 + 7)). Let q be y(o). Suppose 27 = 5*m + 7. Solve 0 = m*w - q - 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(3\/7)\/k)*((k*k*k*k**(2\/9)*k)\/k)\/k*k**1\/(k**(1\/21)*k))**(-5\/3) assuming k is positive.\nAnswer: k**(-865\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -717 - -3093. Let l(z) = s + 11*z - 2376. Let h(m) = -7*m. Determine h(l(w)).\nAnswer: -77*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 792, 1581, 2376, 3183, 4008, 4857, 5736, 6651?\nAnswer: 7608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27344 - 27329. Solve 5*n = k - 7, 19*k = f*k - n + 7 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**(-2\/5)*i)**(-35)\/(i\/(i*i*i*(i**6*i)\/i*i*i*i*i)*i*i**(2\/9)) assuming i is positive.\nAnswer: i**(-974\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6707 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 207180.6 meters to centimeters.\nAnswer: 20718060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -45824, -165459, -364850, -643997, -1002900?\n\"Answer: -39878*s**2 - s - 5945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -149 and -8460343144?\nAnswer: 8460342995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (52\/(-6))\/(8\/42)*-2. Let d(j) = -2*j**2 + 11*j - 14. Let n be d(7). Let h = n + m. Is h a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 253\/3 (b) 5 (c) -0.13 (d) -2 (e) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 501 (base 9) to base 8\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -8 + -1 - (-1 + 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.81, -0.5, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*d = 105 - 105 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -34044, -34651, -35258?\n\"Answer: -607*o - 33437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j. Let y(x) be the first derivative of x**4\/6 + 22*x**2 - 7. Let n(t) be the second derivative of y(t). What is w(n(g))?\nAnswer: 16*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**2 + 631506*g**3 - 632224*g**3 + 2*g - 1 - 2*g in the form z + h*g**2 + f*g**3 + l*g and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 1454.2016?\nAnswer: 145.42016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 73297403819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001961682 rounded to 4 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -7*z**3 + 6*z. Suppose 7*k + 3 = 4*k. Let c be ((-12)\/22)\/(6\/396*-6). Let o(w) = -w**3 + w. Determine c*o(q) + k*t(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 7*a**2 - 2*a + 1. Give y(8).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 4*y. Let h be o(-3). Solve 3*j + h + 0 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 4*n**2 + 2*n + 7. Let m be r(-7). Let o = -83 - m. List the prime factors of o.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8330482 divided by 4165241?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -359 divided by -20314\nAnswer: 359\/20314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1124 - 34422?\nAnswer: -41101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 558?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1910.6591 and -1638309?\nAnswer: 1636398.3409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3*j)**4\/((j\/((j\/j**(-7))\/j)*j)\/(j\/j**(1\/11)*j)) assuming j is positive.\nAnswer: j**(252\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h + 10. Let z(t) = -86*t + 179*t + 1 - 94*t. Give -a(f) + 3*z(f).\nAnswer: -f - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 19\/3 - ((-1664)\/(-78) - 21). Solve 5*n - 30 = y*z - 11*z, 22 = 4*z + 2*n for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1162100 rounded to the nearest ten thousand?\nAnswer: -1160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -121, -23, -1, 24 in descending order.\nAnswer: 24, -1, -23, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/3 + (-825)\/99.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 314410657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -34*x**2 + 3*x - 1. Let p(b) = -4*b**2 - 1. Let t(g) = -a(g) + 5*p(g). Let l be t(-1). Solve l = -s - 5*c, -3*c = 4*s + 17 + 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*5*sqrt(539) - (sqrt(539) + sqrt(539) + -2 + sqrt(539) + sqrt(22)\/sqrt(2) + 4))**2.\nAnswer: -752*sqrt(11) + 388788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in months?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 11*c - 20. Let k be q(13). Suppose 567 = 15*n + 6*n. Solve n + 3 = -k*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of 0 + 0*n**4 + 5*n**2 - 1\/10*n**5 + 0*n + 7\/6*n**3. What is the derivative of g(o) wrt o?\nAnswer: -12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o - 9*f + 10*f, 0 = 5*o - 3*f - 8 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 - -56. Calculate the greatest common factor of l and 132.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i - 6*i + 68*i = -680 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-18))\/((-1)\/3). Suppose -z - 5 = -o. Is 4 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.036 times -2\nAnswer: -0.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*o + 5*o - 8*o**3 + 0*o wrt o.\nAnswer: -48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -73071 divided by 24357\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 603*x + 3985 - 12045 + 4026 + 4034.\nAnswer: 603*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-3))\/((-2)\/(-372)). Let l be (-1)\/((-1)\/3 - (-20)\/j). Suppose 7*y = 82 + l. Solve 0 = 7*z - 2*z + y for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 864 and 2316720?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*x**5 - x**4 + 907*x**3 + 1420*x**2 - 2*x - 1 wrt x.\nAnswer: -1320*x**2 - 24*x + 5442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**3 + 22*u. Let x(t) be the second derivative of -t**5\/10 - 7*t**3\/2 - 5132*t. Determine -7*m(s) - 6*x(s).\nAnswer: -2*s**3 - 28*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 22*a + 360. What is the least common multiple of 28 and m(-12)?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 1294*c**4 - 6*c**3 - 2*c**2 - 16. Let z(d) = d**4 + 3*d**3 + d**2 - d - 1. Let w(g) = u(g) + 2*z(g). What is the second derivative of w(q) wrt q?\nAnswer: 15552*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddsssdtdsddsgsstsg. What is prob of picking 1 g and 3 d?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -127 or -344130\/2701?\nAnswer: -127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -y**3\/3 - 7*y**2 - 52*y + 3606. Determine v(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/47)\/b**1)\/((b\/(b*b*b\/(b*b**(-4\/5))*b*b))\/((b\/(b\/b**(-1\/15)))\/b)) assuming b is positive.\nAnswer: b**(1252\/705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.023 times 302.49?\nAnswer: -6.95727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1240902, -1240908, -1240916, -1240926, -1240938, -1240952?\nAnswer: -1240968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g**(5\/11)\/g)*g**(-1\/13)*(g\/(g\/g**(-9\/4)*g*g))**(-45) assuming g is positive.\nAnswer: g**(110235\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 6891.1041 to the nearest one hundred.\nAnswer: 6900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 7 = -5*o. Let l(g) = 2*g**3 + 3*g**2 - 3*g + 1. Let v be l(1). Solve -o = v*k - 10 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 704 a factor of 851136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 5*p - 61, -5*g = -3*g + 3*p - 69. Suppose 3*d + g = 324. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*m**6 + 196*m**4 + m**3 - 412*m**2?\nAnswer: -240*m**3 + 4704*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 297 in 1\/15, 2\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 8*z**2 + 12*z - 10. What is g(8)?\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-1))**(-5\/4)*(j**(1\/3))**(2\/7) assuming j is positive.\nAnswer: j**(2\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006538 rounded to four dps?\nAnswer: 0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**9*a)**(-2\/3)*a\/(a\/a**(-3\/7))*a**(-1\/9)*a)**30 assuming a is positive.\nAnswer: a**(-4330\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**3 + 20*w**2 + 9*w - 88. Let f be n(10). Solve 3*u - 2*u - f*g - 9 = 0, 0 = 4*u + 3*g + 19 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -96*x**2 + 37*x**2 + 51*x**2. Let q(a) = 8*a. Determine q(z(v)).\nAnswer: -64*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 1931*p. Let f(k) = 5*k + 9. Let q(s) = -13*s - 24. Let h(l) = 8*f(l) + 3*q(l). Give o(h(z)).\nAnswer: 1931*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -3.34, -0.12, -2, -0.4.\nAnswer: -3.34, -2, -1\/2, -0.4, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 368222 greater than or equal to 368228?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -4. Which is smaller: -2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -234 bigger than -1177\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 231648780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 24*p**4 - 2*p**3 - 2*p**2 - 4. Let g(q) = 72*q**4 - 7*q**3 - 6*q**2 - 12. Let t(h) = 2*g(h) - 7*x(h). Find the third derivative of t(o) wrt o.\nAnswer: -576*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/3, 1\/4, 12\/139, 1 in descending order.\nAnswer: 4, 1, 1\/4, 12\/139, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of 6 + 0*u**2 + 13\/3*u**3 + 25\/4*u**4 + 0*u. Find the third derivative of c(l) wrt l.\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*x**2 - 8*x**2 + x + 4*x**2 + 3*x**2 to k + r*x**2 + l*x and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/11)*h)\/(h*h\/h**(2\/5)))\/(h**(-4)*h*h**8*h) assuming h is positive.\nAnswer: h**(-353\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/78 + 201\/(-1742).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**3 + 323*m + 3703 - 323*m - 965 in the form l*m**3 + i + q*m**2 + j*m and give i.\nAnswer: 2738","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -88, 1, 5, -1052 in decreasing order.\nAnswer: 5, 1, -88, -1052","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0)**25*(k**1*k)**(1\/18)*(((k*k**2*k)\/k*k)**3)**(-11\/2) assuming k is positive.\nAnswer: k**(-593\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/7 + 20*x**2\/7 - 26*x\/7 - 48\/7.\nAnswer: -2*(x - 8)*(x - 3)*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -4*s - 8, -2*a + 3 + 5 = -5*s for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + (4 - 1) + -3. Let v be ((-5)\/(-1) - 3)\/u. Sort v, 5, 2, -3 in decreasing order.\nAnswer: 5, 2, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**3\/5 - 1144*y**2\/5 - 196282*y\/5 - 1764028 = 0. What is y?\nAnswer: -251, -70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 901143 to the nearest integer?\nAnswer: 949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-1)*(-2)\/(-6). Let u = -6 - -12. Let i = 6.1 - u. Put -3, i, l in decreasing order.\nAnswer: i, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11373 is divided by 193?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -4 (b) 2 (c) 4\/1081\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23230003122 - -2?\nAnswer: 23230003130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14136 - 0?\nAnswer: -14136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t - 5. Let f be (-8)\/(-36) - (-158)\/18. Let y be b(f). Let s(l) = -l**2 + y + 2*l - 2*l. Let q(v) = v**2 - 5. Calculate -4*q(x) - 5*s(x).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(13\/3)\/((s*s\/s**(-8)*s)\/s*s) assuming s is positive.\nAnswer: s**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.84445um to centimeters.\nAnswer: 0.000884445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + ((12 - -1) + -2 - 22)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -65 - (-8)\/(32\/12). Let j = x + 62. Suppose d - b - 3 = -j, 0 = -4*d + 3*b + 13. What is the remainder when 11 is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccccc. Give prob of sequence cccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -46308, 1 in decreasing order.\nAnswer: 1, -11, -46308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -100953890.7 to the nearest one million.\nAnswer: -101000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 793309 and 164?\nAnswer: 3173236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3612)\/(-24) + 3\/(-2). Find the third derivative of -178 - 180 + 79*t**5 + 358 + q*t**2 wrt t.\nAnswer: 4740*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 5*o = -22, 2*h - o + 0*o = -4. Let g(b) be the third derivative of b**6\/120 + b**5\/20 + b**4\/8 + b**3\/6 - 7*b**2 - b + 21. Determine g(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -335927\/5 + 67747. Is 562 at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**2 - 19*d + 49. Let m be y(6). Solve s = m - 0 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 12 = -180. Let q be (-21)\/d - (-35)\/(-4). Let p be (-7 - q)\/(-1 - -2). Which is greater: p or -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -2*j**3\/3 + 11. Let i(b) = 3*b. Give u(i(n)).\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 714270731 or 714270730?\nAnswer: 714270731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -168 divided by 56?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 880 is divided by ((-75040)\/119)\/(-5) + 4 + 210\/(-51)?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/(-10080)*-10*4)\/((-60)\/(-7)).\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 4 + 12 = -3*y, 0 = b - y - 2. Suppose b*j - 27 = -j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 349\/430?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 992 is divided by 187.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**(2\/7))**(-3\/2)\/(z**(-2)*z**1))**(-26))**20 assuming z is positive.\nAnswer: z**(260\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2023000 (base 5) to base 4\nAnswer: -20001223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 5*x. Let g(a) be the first derivative of -a**5\/120 + 14*a**3\/3 + 10. Let s(i) be the third derivative of g(i). Give s(l(m)).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5}. Give prob of picking 2 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-102)\/12)\/(4\/(-8)) - 4. Suppose 5*x = 2*x - 42. Let d = s + x. Which is smaller: -2\/7 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 8*g - 2*i + 5, 4*i + 32 = 4*g. Suppose v + u - g = 0, 2*v = 2*u + 2*u. What is the least common multiple of v and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -4. Let y(o) = 3*o + 21. Let r be y(n). Suppose -4*q + 12 = 4*v, -q + 0*q + r = -4*v. Solve -16 = m + q*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1231.235893 rounded to 1 dp?\nAnswer: 1231.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x - 3. Let p be v(2). Let f = -160 + -99. Let u = -263 - f. Sort 2, u, p in decreasing order.\nAnswer: 2, p, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41 + 2*r**2 + 27 - 16 to the form x + s*r + h*r**2 and give x.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(378) + -2*sqrt(378))*1*-1)\/((sqrt(864) + 1*sqrt(864) + sqrt(6))*5*-6).\nAnswer: -sqrt(7)\/250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5*(sqrt(2496) + sqrt(2496)*2))\/((2*sqrt(27)*6)\/sqrt(9)).\nAnswer: 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 182918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/22 and -63\/38.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 830 and 33034.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -947 + 947 - b**2 - 2*b**3 - 5*b + 0*b**2 in the form k*b + x*b**2 + q + h*b**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 6. Suppose -3*d - 2*n - 1449 + 116 = 0, -1774 = 4*d + 2*n. Let k = d + 442. Which is the biggest value? (a) w (b) k (c) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -220547\/840 + -716\/105. Let i be (-61444)\/224 - 4\/14. Let y = i - z. Find the common denominator of -61\/6 and y.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -106 bigger than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110 (base 5) in base 15?\nAnswer: -a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n + 5*n = 2*u + u, 0*u - 3*u - 29*n + 26*n = -36 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 199544, 399086, 598628, 798170, 997712, 1197254?\nAnswer: 1396796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, r: 1, m: 1, d: 1}. What is prob of picking 2 d, 1 m, and 1 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.4 - -4. Suppose -2*p + 10 = p + 2*l, 2*l - 6 = -p. Suppose n = p*n. Which is the nearest to n? (a) z (b) -0.3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37 - -41. Let z = 32 - -36. Suppose -32 = -5*n + z. Calculate the greatest common divisor of n and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2622, 10635, 23986, 42675, 66702?\n\"Answer: 2669*t**2 + 6*t - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -4 + sqrt(1008) + sqrt(1008)*3)*3)**2.\nAnswer: 145152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3098706 and 936?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b**2 - 10476*b + 105160 = 0. What is b?\nAnswer: -2629, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)\/sqrt(3)*-4)\/(sqrt(21)\/(sqrt(42)\/sqrt(24))) + 4.\nAnswer: -6*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 59*1*(-4 - -5). Let p = f - 29. Suppose 5*q - 445 = -p. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 37755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8408, 16812, 25210, 33602, 41988, 50368, 58742?\nAnswer: 67110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.04 - 2.96. Let j = 0.2 - 0.7. Let h = -10 - -6. Put k, j, h in increasing order.\nAnswer: h, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h. Let p(d) be the first derivative of 25\/2*d**2 + 10 + d. Calculate i(p(f)).\nAnswer: -50*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i + 13*i + 2*i - 208 = 0 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5497 is divided by 393.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*b - 15*b - 4176. List the prime factors of b.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1210221212 (base 3) in base 6?\nAnswer: 433122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaii when four letters picked without replacement from {a: 5, i: 15}.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5408 and 1092.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -4*q - 4*k - k, 0 = 5*q - 4*k - 104. Suppose -85*z - 63*z = -10*z. Solve 8*a - 4*a + q = z for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 207.295851 + -207.3. What is i rounded to 4 decimal places?\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -477, 2, -64, -53 in descending order.\nAnswer: 2, 1, -53, -64, -477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.5 (b) -0.3 (c) -2405.514\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 36948468 rounded to the nearest one hundred thousand?\nAnswer: 36900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eerqyqdky. Give prob of picking 1 q, 1 k, and 1 d.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 159\/6*1*(-8)\/(-4). Suppose -x*f = -57*f + 7628. What are the prime factors of f?\nAnswer: 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10049*v**3 - 4*v + 4*v + 2914*v**3.\nAnswer: 12963*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (85*d - 85*d + 72*d**2)*(-68*d**2 - 6 + 11 + 300*d**2 - 5) as n + l*d + k*d**3 + g*d**2 + b*d**4 and give b.\nAnswer: 16704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 155364 or 155370?\nAnswer: 155364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 177*m**2 + 8*m - 2. Let q(r) = -105849*r**2 - 4788*r + 1197. What is 1197*h(s) + 2*q(s)?\nAnswer: 171*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*g = -5*g + 45, 2*q + g - 65 = 0. Let x = q - 28. Let l be (-4)\/6 - (x + 5078\/(-3)). What is l rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -1.9, 0.3?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/63 of a week?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1716 + 1677.59. Let r = v + 38.40996522. What is r rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 99 by 16.\nAnswer: 99\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 2*s = 27, 31*j - 35*j - 50 = -5*s for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119827058.\nAnswer: 2, 13, 61, 75553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/989 + -7926\/6923. Let m = k - -10\/7. Let b = 91 + -92. What is the third biggest value in m, b, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 5*s**2 + 6*s. Suppose 5*h - 6 = -i - 1, 0 = h - 2*i + 10. Suppose h = 2*o - 17 + 5. Calculate g(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -268 + 425. Suppose -5*i = -g + 57. Does 5 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-1)*r)\/r)\/r*(r\/(r**(-1\/2)\/r)*r)\/r*r)**(-1\/3) assuming r is positive.\nAnswer: 1\/sqrt(r)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 1 + 2*z**2 - 6*z + 0 + 4. Suppose -13 = 667*j - 668*j. Let r(f) = -4*f**2 + 13*f - 11. Calculate j*d(t) + 6*r(t).\nAnswer: 2*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -3518.347846 to 0 decimal places.\nAnswer: -3518","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t + 90. Let s be i(0). Let a be 30\/(-4)*2808\/(-585). Calculate the highest common divisor of a and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) 72041 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/5 (b) 4\/3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/(-594))\/((-1)\/(-12))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 0.3 (c) -239 (d) -4\/73 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 16*r**2 - 2*r - 3. What are the prime factors of y(-1)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6503, 12880, 19245, 25598, 31939?\n\"Answer: -6*r**2 + 6395*r + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-50)\/(-15) + -5 + (-3336)\/(-9).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r + 53 = -3*p + 11, 3*r + 2 = 2*r - p for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*t**2 + 11*t**2 - 21*t**2 in the form h*t**2 + v*t + y and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.01104 and -0.570744925.\nAnswer: -0.559704925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 527 is divided by 88?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.10962 and 3.65.\nAnswer: 3.54038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2 or 15\/15234511?\nAnswer: 15\/15234511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3636 and 6161.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k**2 - 12 - 14 - 53 + 75 + 2*k. Let h be 1*2 + 3 + -5. Suppose f + f + 6 = h. What is j(f)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 98566900 to the nearest one million.\nAnswer: 99000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l + 3*l - 6*l + (3 - l - 3)*(0 - 1 - 1) + 20629 + 1047*l - 20629 as m + y*l and give y.\nAnswer: 1043","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of 150*s**3 + 563*s + 445. What is the derivative of d(i) wrt i?\nAnswer: 900*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**2 + 39*f - 1. Let a be z(19). Suppose 20*x - a*x - 130 = 0. Calculate the greatest common divisor of x and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -163.1 + 955.\nAnswer: 791.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -184178.68 and -56819?\nAnswer: 127359.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 24*q**2 - 43*q + 19. Let x be n(-22). Let o be 1 + -1 + (-2)\/(-8). Is o at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + w - 4. Put 3, 2, w in descending order.\nAnswer: 3, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 1 + 2*u)*(-8*u + 2*u + u) + (0 - 2*u + 0)*(66*u + 84*u + 17*u) + 2*u**2 + u - u to the form l*u + x + h*u**2 and give h.\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 106789954?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 236.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 2994?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*l - 478 = 0, -n - n + 184 = -4*l. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41430 and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*x + 5*p - 18, 3*x + 3*p - 15 = 0. Suppose 5*m - 4*g - 30 = 0, -3656*m + 3654*m = 2*g - 12. Solve 4*f + 5*o + 27 = 0, -f - 3 = x*o + m for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21423 divided by -8.\nAnswer: -21423\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -6*d**3 + d**2 - 4*d - 4. Let c = 420 - 416. Let h(a) = -17*a**3 + 3*a**2 - 11*a - 11. Let p = -94 + 83. Calculate c*h(k) + p*y(k).\nAnswer: -2*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(-5\/9)*(t\/t**17)\/t assuming t is positive.\nAnswer: t**(-149\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*n**5 + 25*n**2 + 16*n**2 - 6*n**5 - 43*n**2 wrt n.\nAnswer: 420*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, m: 1, q: 4, a: 4, z: 5}. Give prob of sequence maa.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 672 and 3339.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 606 is divided by 122.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 1 + 1)*(-8 + 11 + 7) + 1 - 2 + 4)*(-2*y**2 - 6*y**2 - 3*y**2) to the form k*y + s*y**2 + g and give s.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63.48 + -0.1.\nAnswer: -63.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9819974 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*n + 2*z + 65, 4*n - 4*z - 80 = 0. Suppose -64*b + 39*b + 800 = 0. Calculate the highest common divisor of b and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -4, 2, 2\/49 in descending order.\nAnswer: 2, 2\/49, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 2415?\nAnswer: -241.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2 + 31159*v**2 - 22*v**3 - 37*v**3 - 31156*v**2 + 2*v. Let c(p) = 60*p**3 - 4*p**2 - 3*p + 3. Determine 3*b(z) + 2*c(z).\nAnswer: -57*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 6*o - 135. Suppose b - 590 = -3*l, -17*l + o*l + 2*b + 396 = 0. Calculate the remainder when l is divided by 34.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/(-240))\/(11\/44)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((1 - 1)\/2)\/2. Let k(m) = v*m + 2 - 3 + m + 4. Let h(z) be the second derivative of z**2 + z. What is -3*h(f) + 2*k(f)?\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23332 + 0?\nAnswer: -23332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/2 and 127\/1350.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) 34 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 75577*n**3*p**2 + 2*n**3*p*t - n**2*p*t - n**2*p + 48*n**2 - 3*p**2*t - 1649*p**2 wrt n?\nAnswer: 453462*p**2 + 12*p*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1165, 2296, 3393, 4456?\nAnswer: 5485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 727511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 837 and 2049.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 401016.\nAnswer: 2, 3, 7, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -203*a**2 - 575*a - 36. Give m(-3).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -3*j**2\/2 + 1. Let x(t) = -t**2. Calculate q(x(l)).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10597 - -4225?\nAnswer: 14822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13.2 + 12.2. Is -47 at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 5 + 15 = 0. Suppose 0 = -3*q + 138 - 132. Suppose -9 = -b - h + 13, -b + 16 = 3*h. Solve -6*k + k - b = -o*j, q*k + 10 = -3*j for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/653586 and 109\/1746?\nAnswer: 1960758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1719 and 2295.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 376\/57 + -2518\/399. Determine r, given that 0 + 24\/7*r**2 - 72\/7*r - h*r**3 = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -1\/2*v**3 - 2\/15*v**5 - 3 + 1\/6*v - 1\/12*v**2 - 11\/24*v**4. Factor w(t).\nAnswer: -(t + 1)**3*(4*t - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 328 + 5307 + 7 = 91*l for l.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from outffxotuotxu. What is prob of sequence uttt?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/80*-2*2*1288\/115.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-18))\/((-2 - 1)\/(-54)). Sort t, -3, -2, 3.\nAnswer: -3, -2, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 487 + -501 + (-1 - (11 - 1))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4362 - -4364. Let -4\/5*q**3 + 0 - 8\/5*q**z + 4\/5*q**4 + 0*q = 0. Calculate q.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 + 12128*y**2 - 218790*y + 985284.\nAnswer: 2*(y - 9)**2*(y + 6082)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8968489992 minus -22.3?\nAnswer: -8968489969.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**3\/3 + 39715*v**2\/3 + 131446721*v + 131433483 = 0. Calculate v.\nAnswer: -19857, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8027 is divided by 2662?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 262 and 7232903?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 251*d**4 + 634773*d**2 - 136786271*d.\nAnswer: 3012*d**2 + 1269546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 79318, 78640, 77962, 77284, 76606, 75928?\n\"Answer: -678*g + 79996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34770 by 3.\nAnswer: -11590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.166 in 0.2, 3, -2, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*j - 3*l, 5*l = -11*j + 10*j - 2. What is the highest common factor of j and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/12)\/(2\/60). Suppose 0 = -23*d + 2293 - 683. What is the greatest common factor of d and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 129 and 46734593.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/((5 - 238\/49)\/((-90)\/(-21))). Solve -4*c - c = -j for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -4*v**4 + v**3 + 3*v**2\/2 + 538. Let f(w) = 16*w**3 - 2*w**2 - 2*w. Calculate 3*f(s) + 2*x(s).\nAnswer: 16*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-1)*c*c)**(-35))**(-32)\/((c*c*c\/(c\/(c*c*c\/((c*c**(-4\/5)*c)\/c)*c*c))*c\/c**(-1\/2))\/(c**2\/c**6)) assuming c is positive.\nAnswer: c**(44677\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 692 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 53 + -43 + 15 + 33 + (-10 - 1)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, j: 1, e: 2, z: 1, x: 1}. Give prob of sequence eie.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*p + 30, 399*p + i + 6 = 398*p. Let l be 2\/(-8) - (-1)\/4. Solve l - p = -x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1115622 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1374307?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*w = 5*w + 385 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 4) to base 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1023 - -2047.315?\nAnswer: 2047.2127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 32 = 2*l - 22, 0 = -2*i + 2*l + 36. Calculate the remainder when 23 is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*x + 5*t + 45 = 54*x, -4*t = -2*x + 24. Which is greater: x or -23\/43?\nAnswer: -23\/43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -15*(6\/2)\/(-3). Suppose -3*y = 2*y + b. Which is smaller: y or -3\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2425*c - 121227. What is k(50)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 98 - 97.5. Let m be -2*(-2)\/(-4)*3. What is the nearest to -1\/4 in -0.3, m, t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*c + 55*c = 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**5 + 7*j**4 + 28*j**3 + 20*j**2 = 0. Calculate j.\nAnswer: -2, -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3541 = -30*s - 9841. Calculate the common denominator of -89\/2 and s\/28*-3*(-2)\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 + 31 = 4*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 - -1 - (-3 + -6). Suppose 2*s - n = 2. Let f be (-148)\/(-18) - s\/18. What is the greatest common divisor of 64 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -28*v + 174 wrt v.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 440 and 63140?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 12) to base 15\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3102423 is divided by 7334.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 613854?\nAnswer: 2, 3, 67, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.693547 and 0.1.\nAnswer: 0.0693547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 2:45 AM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 7*w + 31, 113*p - 4 + 1 = w + 112*p for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 963354 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 7*h**2 - 7*h + 8. Let n(w) = 27*w**2 + w**3 - 21*w**2 - 6 - w - w. Let t be n(-6). Let q be g(t). Solve 2*z - q = 4*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11596160, 11596149, 11596126, 11596085, 11596020, 11595925, 11595794?\nAnswer: 11595621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -691 - -718. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*b**3*j - 8564526*b**3 + 1706*b**2*j + 48*b - j - 9 wrt b.\nAnswer: 30*j - 51387156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2048 divided by 4\nAnswer: -512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from fxwwexwxeweweex?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a meter in millimeters?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13052 is divided by 279.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-20)*10\/(-12)*(-14)\/(-35)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12113001033 (base 4) to base 16\nAnswer: 19704f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 10, 3, 1\/3 in descending order.\nAnswer: 10, 3, 1\/3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u\/u**1*u)\/u)\/(u\/(u**2*u)))\/(u**1)**(-18))\/((u**(1\/4))**(-35)\/((u**4*u)\/(u*u*u**(-4)))) assuming u is positive.\nAnswer: u**(147\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l - 48*l + 14875 = 59*l. What is the remainder when 7497 is divided by l?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 5*j - 4*j)*(j**2 + j - j) + 2*j**3 - 10*j**3 - 2 + 0*j**3.\nAnswer: -6*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35 + -28. Let d(g) = -4*g - 68. Let m be d(-18). Solve -m*y + h*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w + 11. Let y be r(9). Suppose -3*o = o - m - 361, -4*m = 4*o - 356. What is the greatest common divisor of o and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + 1 - (-17 + -20 + 38 + 0)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4371.8 + 4372. Which is the nearest to 2\/35? (a) 21\/2 (b) 4 (c) h (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2235*z**2 + 35*z + 15. Let f(t) = -745*t**2 - 11*t - 7. Let a(c) = 7*f(c) + 2*i(c). What is the second derivative of a(h) wrt h?\nAnswer: -1490","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 335.18104 times 1.3\nAnswer: 435.735352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7*12\/(-630))\/(-2*1\/9)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.4 + 4. Let a = -0.1 - o. Let w = -0.2999985 + a. Round w to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.1, -0.049, -2, -0.3 in increasing order.\nAnswer: -2, -0.3, -0.1, -0.049, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(16)\/sqrt(8) + 1)**2 - sqrt(128)*2*6.\nAnswer: -94*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = n - 6, -3*i + 2*n = -665 + 682 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 6*b**2 + 2*b - 4. Suppose 0*h - 24 = -4*h. Let i be f(h). Suppose 0 = -i*a + 3*a + 15. Solve 8 = a*c + 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, -44, -189, -480, -965, -1692, -2709?\nAnswer: -4064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p + 13. Let w be u(-9). Let d = -2 - w. Suppose d*a = 3, -a + 3*a = 4*g - 22. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63 + -42. Let l = 66 + h. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j**3 + 55*j**2 - 60*j = 0.\nAnswer: -12, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - (1 - -15)\/(-2). Let z be 12\/f*3\/14. Let q = 0.8 - 0.4. What is the nearest to z in 2\/3, q, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1009499?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 60 (b) 0.18 (c) -0.4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9236.\nAnswer: 2, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(4)\/sqrt(2)*-5 + sqrt(2) - (1*(sqrt(2) + (sqrt(10)\/sqrt(5) - sqrt(2))))**2)*6.\nAnswer: -144*sqrt(2) - 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c - -18?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-702)\/(-10) + (-8)\/40 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-10)\/h**(-7\/2))\/(h**(-3))**(-14))**(-11\/2) assuming h is positive.\nAnswer: h**(1067\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 32149486 to the power of 1\/3, to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6018180 divided by 17444\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 6*r**2 + 6*r + 5. Let s be o(-5). Let q be 2 - (-27)\/6*(-4)\/(-6). Suppose 2*n = n + 3*j + 17, -3*n - 5*j - q = s. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -5*k**3 + 2*k**2 - 1. Let o be t(-1). Suppose -3*u + 6 = -o*u. Let y(z) = z**2 - z - 1. Let m be y(3). Sort m, u, 1.\nAnswer: u, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9673 - 9666. Let k = 21 + 0. Calculate the greatest common divisor of p and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -55\nAnswer: -4\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 91 - 89. Suppose -7*n - 232 = -2*n + l*a, 4*a + 96 = -2*n. Let h = 140\/3 + n. What is the nearest to 4 in h, 2\/5, -0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 34*x**2 + 38*x + 389. What are the prime factors of q(-17)?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*t - 3 - 25*t - 27*t + 63*t + 2 + 2.\nAnswer: -4*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 4421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -2.1. Which is smaller: 22 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 4*g = 10. Suppose -4*x - g*k = -3 - 29, 3*k - 27 = -5*x. Solve x = t + 6, -4*f + 3*t + 5 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -637, -635, -633, -631?\n\"Answer: 2*k - 639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2 = 14. Solve 0 = a + a - q for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttay when four letters picked without replacement from atyatyat.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -96816, -96804, -96792, -96780?\n\"Answer: 12*a - 96828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 1. Let m = -1 + k. Sort m, -0.2, -0.4 in increasing order.\nAnswer: m, -0.4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 2*w + 4 = 3*l, 4*w = 5*l - 6. Suppose q = -0*q + t + 9, 4*t - 6 = -l*q. Calculate the greatest common divisor of q and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 828899 (b) 2\/15 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, f: 4, h: 1, c: 2, u: 1}. What is prob of picking 3 f?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/17*8245\/(-2910)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*x**2 + 101*x**2 + 222*x + 35*x**3 - 222*x.\nAnswer: 35*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -3442.728 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 395183385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-3 - -11) - 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ua when two letters picked without replacement from auaqapauuuuauauuauuq.\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -180 - -740. Suppose 0 = 25*o - 100 + 25. Suppose -5*x + z = o*x. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - y - 30, l - 3*l - 3*y + 9 = 0. Let b = 11 - l. Suppose 3*p + 2*w - 114 = 0, 5*p + b*w - 190 = 5*w. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 6 = -3*n. Let y = 2 - n. Solve 0 = y*m - 3*w + 15, 6*w = 2*w for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 6*a - 5. Let w be j(-4). Let p = 47 + w. Suppose 3*d + 2*q - 47 = 0, -3*d = -p*q - 15 - 16. Is d less than 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11849 and 17.\nAnswer: 11849","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a + 49. Give r(-12).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*j + 17*j**2 + 15*j - 2*j**2 + 67*j.\nAnswer: 15*j**2 + 8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-4))\/(537\/358)*(-242)\/(-11).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 57*w**4 + 765858*w**3 + 80616*w**2.\nAnswer: 3*w**2*(w + 13436)*(19*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 i when three letters picked without replacement from iipiiipiiiiixxooioio.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 3*p - 4. Let n be h(5). Let w be (-9)\/n - 2\/(-4). Let t = 12 - w. What are the prime factors of t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27133 + -135663\/5. Let i = -53773\/1827 - -206\/7. Is i <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110 + -101?\nAnswer: -11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 274095 and 6035.\nAnswer: 330832665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 12*d**2. Suppose -19*z + 15*z - 169 = -3*n, 4*n + 5*z - 184 = 0. Suppose -33 = 6*g + n. Let o(m) = 2*m**2. What is g*o(s) + 2*l(s)?\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 4, 5\/137, -6, -5\/3, 0?\nAnswer: 5\/137","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and 1070.\nAnswer: 25680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4 - 27038*c**3 + 182709277*c**2 + 731161596*c + 731269764.\nAnswer: (c - 13521)**2*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 11) in base 2?\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 5935944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -12200121002 (base 3) to base 14\nAnswer: -2cb3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 6 + 2. Let a = g + 5. Suppose -v + 2*v - a = 0. Sort 2, 0, v.\nAnswer: 0, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a microsecond in nanoseconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r - 73726 = 453. Let y = r - -69497. Round y to the nearest 1000.\nAnswer: 59000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + d, -2*s + 27 = 3*d + 11. Let y(u) = 2*u**2 - 5*u**2 - 3*u**s - 4 + 5*u**2. Let q be (0 + 0)\/(2\/(-2)). Give y(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*g**5\/7 - 402*g**4\/7 + 1760*g**3\/7 + 11504*g**2\/7 + 11232*g\/7 - 2720\/7 = 0. Calculate g.\nAnswer: -2, 1\/5, 10, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*a**3 - 2*a - 2 - 2442*a**2 - 5*a + 5*a.\nAnswer: 10*a**3 - 2442*a**2 - 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -z**4\/20 - 8*z**3\/15 - z**2\/2 + 10*z - 26. Suppose c(k) = 0. What is k?\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/9160 and 109\/1758?\nAnswer: 8051640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29\/116 - 148\/16?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228974?\nAnswer: 2, 114487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**2\/4 + 8811*r\/4 + 1319645\/2 = 0. What is r?\nAnswer: -290, 9101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/2 (b) 2\/5 (c) 0 (d) 0.5 (e) 248\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 47458*q**2 - 236*q + 12.\nAnswer: 94916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1792477.999997 + -1792477. Let k = 1 - n. What is k rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 109\/144 + -7\/9. Let g = 29\/144 - f. Let z = 63 + -63. Sort z, g, -0.1 in increasing order.\nAnswer: -0.1, z, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 41356, 82712, 124068?\n\"Answer: 41356*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*h + 21 = -14*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 61141096?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2574522737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.026 * -6043\nAnswer: -157.118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-4)*4\/3)\/1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 79080.\nAnswer: 79080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**2 - 2*o - 814 - 816 + 1588 - 2*o**4 to the form j*o**3 + t*o**2 + w*o**4 + b*o + s and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 14*g - 10. Let x(t) = t - 1. Calculate 6*p(s) - 60*x(s).\nAnswer: 24*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21*a*m*s + 579*a*m + 6*a*s**2 + 805606*m*s**2 - m wrt a?\nAnswer: -21*m*s + 579*m + 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*t + 11 = 0, 2*g - 2*t - 20 = -7*t. Let u = -3 + g. Solve -u = 3*b + 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -4, 1 in ascending order.\nAnswer: -4, 1, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -23*a**2 + 13*a + 1752. Let b(w) = 13*w**2 - 7*w - 877. What is 7*b(p) + 4*h(p)?\nAnswer: -p**2 + 3*p + 869","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -27047\nAnswer: -81141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 93 - 93.03. Let u = 57.33 + -57. Let k = j + u. Which is the smallest value? (a) -0.2 (b) k (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 12:39 AM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -24130 - 402?\nAnswer: -24532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1550 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1511 - -2518. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 38, -654, -1\/2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1122154 divided by -22?\nAnswer: 51007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 54.93618 hours?\nAnswer: 2.2890075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -229 + 229. What is the closest to k in -2\/7, -0.5, -9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113121 (base 4) in base 10?\nAnswer: -1497","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -882 - -945. Suppose 215 = 4*d + d. Let a = z - d. Solve 2*l - 5*l - a = 2*k, 3*k + 12 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 21?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - y + 224, 2*f + 5*y - 140 = 2*y. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102537?\nAnswer: 3, 11393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 6*k + 4. Let o be x(-6). Suppose -2*z - 3044 = -o*s - 522, -1 = -z. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15703 = 356*g - 3165 for g.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 114974110 a multiple of 1130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in -0.3, 3\/7, 13\/41?\nAnswer: 13\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.0108 + -0.0108. Which is the fourth biggest value? (a) i (b) -0.5 (c) 2\/11 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13267081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 159692617 to the power of 1\/3, to the nearest integer?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (205\/246)\/(15\/(-10))*8\/10.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2203104 (base 6) to base 8\nAnswer: 325760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 942779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4624?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(2) + (-3 + sqrt(162) + sqrt(162) + sqrt(2))**2.\nAnswer: -113*sqrt(2) + 731","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 3*d - 5845, -2*l - 2*l + 2*d = -4676. Suppose -4*b = -2*z + 598, -l = -4*z - 2*b + b. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 1578*m**3 - 7*m**2 + 30*m - 7. Is d(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.13 - -0.06. Let s = u + -0.43. Let k = -76 + 76. What is the closest to k in s, 1\/3, -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/24 - (-9)\/(-6).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 97 + -99. Sort 0.06, 2\/17, 0.4, k.\nAnswer: k, 0.06, 2\/17, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2016\/5*i - 2004\/5 - 3\/5*i**3 - 513\/5*i**2.\nAnswer: -3*(i + 2)**2*(i + 167)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5245 is divided by 676?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5674 + 5704. Calculate the remainder when 229 is divided by d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 269746639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22439\/6 - 3731. What is the common denominator of q and (-7)\/(-2)*14\/(-8)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -111157.253 to the nearest one thousand.\nAnswer: -111000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/16 of a century?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4\/7 + 16\/21. Let y = 2.4 - -12.6. Let s = y - 10. Which is the third smallest value? (a) -17 (b) i (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005858588569 rounded to 4 decimal places?\nAnswer: 0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9295*g**3 + 111550*g**2 + 120*g.\nAnswer: 5*g*(g + 12)*(1859*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 2*s - 2. Suppose s*u = -2*u. Suppose 0 = -i - u*i + 619. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + -3)*2069\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 2*f**2 - 6*f + 2. Give b(4).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 166701, 333079, 499471, 665883, 832321, 998791, 1165299?\nAnswer: 1331851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6319.5 from 5706813247.\nAnswer: 5706819566.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(17) + sqrt(425))**2 + 1)*-2 - ((-1 + sqrt(612) + 5 - sqrt(612)) + sqrt(612))**2)*-6.\nAnswer: 288*sqrt(17) + 11124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -28\/47?\nAnswer: -28\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*(86\/(-14) - (-11 - -6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - v + 3, 0 = -w + 4*v - 6*v + 15. Suppose -3*i + 8*i = 0. Suppose 4\/5*o**2 + 2\/5*o**w + i + 2\/5*o = 0. What is o?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.5139792 rounded to one decimal place?\nAnswer: -43.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*y + 10 - 10 + (2 - 4 + 3)*(3*y + 1 - 1) - y - 3*y + 3*y.\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1051704212 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pq when two letters picked without replacement from {p: 1, q: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -7*b + 14. Let g(t) = t**2 + 7*t - 3. Let c(w) = 2*w**2 + 6*w - 3. Let h(s) = b*g(s) - 2*c(s). Determine h(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 + (-4)\/2 + -10. Let o = 17 - l. Let q = -1 + o. Calculate the remainder when 88 is divided by q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -772 - 2*z**2 + 779 + z**2 - 4*z. Give n(5).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57491 (base 16) to base 10\nAnswer: 357521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/((a\/a**9)\/a*a))\/(a\/(a**2\/a)))**44)**(-3) assuming a is positive.\nAnswer: a**(-1188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in -2\/53, 6, -54, 20?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) -59 (c) 3\/7 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.676 - 6. What is w rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1062 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 80 = 4*w - 9*w, -2*w = -4*s - 40. Calculate the highest common factor of w and 492.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 270.000573 + -270. Round m to five dps.\nAnswer: 0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/3 + 20*b**2\/3 - 2*b\/3 - 20\/3.\nAnswer: 2*(b - 1)*(b + 1)*(b + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59 - -105. Suppose 19 = -x + 2*x. Let m = x + v. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (-5)\/((-3)\/(-324)*-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, k: 3, z: 2}. What is prob of picking 2 z?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -65*n**2 + 8*n. Let u(k) = 49*k**2 - 6*k. Let c(p) = -3*a(p) - 4*u(p). Let i(v) = -526*v**2 + 1. Give i(c(s)).\nAnswer: -526*s**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -1.65, -0.231, 2, -0.06 in ascending order.\nAnswer: -1.65, -0.231, -0.06, 1\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -288 + 285. Sort g, 17, -4, -1 in ascending order.\nAnswer: -4, g, -1, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*c - 101 + 506 - 2495 = 0 for c.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 30*p**3 - 22*p. Let h(c) = 10*c**3 - 2*c**2 - 7*c + 4. Let o(l) = -9*l**3 + 3*l**2 + 6*l - 6. Let t(v) = 3*h(v) + 2*o(v). What is -5*g(y) + 12*t(y)?\nAnswer: -6*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39 and 390.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l - 1. Suppose 4*n + p = n + 6, -9 = 3*n - 4*p. Let f = 9 - n. What is the least common multiple of x(5) and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7587.5 or -2\/9?\nAnswer: -7587.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5760) + 1*sqrt(5760) + sqrt(5760) + sqrt(40) - sqrt(40))\/sqrt(288) + (1*sqrt(60)\/(sqrt(108)*1))**2.\nAnswer: 5\/9 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 57*m - 13*m**6 + 110920*m**2 - 57*m - 101*m**5 - 113315*m**2 wrt m.\nAnswer: -1560*m**3 - 6060*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 6*h + 6. Let g be 3\/9 - 57\/9. What is the units digit of k(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1000*d - 4 + 4.\nAnswer: 1000*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -44473 and 591.\nAnswer: -26283543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 0.3609?\nAnswer: 1.0827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 1 - (-19)\/(-5)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36952876 and 20.\nAnswer: 184764380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 3:25 PM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -12 (c) 3\/4 (d) -6 (e) -2\/2173\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11001 (base 2) in base 4?\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 422564 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 f be (10 + 2)*(-3)\/(-1). Let s be 4\/(-14) + f\/28. Let u be ((-4)\/(-5))\/(s\/5). Solve 5*r + 13 = -h, 3*r = -h + u*r + 5 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 6 - 7)*(-9 + 7 + 18)*(-13 + 13 + 5*r).\nAnswer: 160*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -16*o + 125. Let u be 266\/(-21) + 6 + 1\/(-3). Is z(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 36407 and -0.3774.\nAnswer: 36406.6226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 113323 (base 10) to base 7\nAnswer: 651250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*c**2*h**3 - c**2 - 38*c - 14640*h**3 with respect to c.\nAnswer: 30*c*h**3 - 2*c - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/4)\/(5\/(-260)). Let j = 15 + z. Let a = j - 8. What is a rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -4*q**3\/3 - 1. Suppose -5*h = -a + 2*a - 17, -2*a = h - 7. Let r(w) = w**2 - 4*w**2 + a*w**2. Determine r(f(x)).\nAnswer: -16*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -35\/6 (b) -2\/51 (c) 84 (d) -2\/11 (e) -1\/7 (f) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 88960787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 2148.\nAnswer: 2148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -492, -983, -1474, -1965, -2456?\n\"Answer: -491*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8.12973 and -0.039?\nAnswer: -0.31705947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -4*o**2 - o + 77. Let g(u) = -u**2 + 1. Give 6*g(w) - h(w).\nAnswer: -2*w**2 + w - 71","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3015 - 0?\nAnswer: 3015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -358 + 303 + -25 + -13 + 8?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5090 in -0.2, -2\/15, 0, 0.03?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eiqqvik. What is prob of picking 1 e and 1 v?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hrhhprrrhhkphppkhk. What is prob of picking 1 h and 1 k?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of 1336*l**2 + 3215*l - 2375. Find the first derivative of q(p) wrt p.\nAnswer: 2672","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**(-2\/7))**(-11)*j\/(j\/((j*j\/(j*j**(-2\/3)*j)*j)\/j))*j*j**(2\/13))**(-7) assuming j is positive.\nAnswer: j**(6367\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -128.86 - 1.14. Let r = i - -130.000101. What is r rounded to five dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2*x = 1. Let k be (x + 7)\/(6\/4). Suppose -3*r + 4*h = -32, -k*r - h = 3*h + 4. Calculate the lowest common multiple of 9 and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 + -2 + ((11 - -89) + -103 - (1 + -8))?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**2 + 17*o - 21. Determine c(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/9 and -12\/875 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -284*t - 259*t + 513*t. Let n(h) = 2*h**2 + 127 - 127. Determine n(j(q)).\nAnswer: 1800*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -509992250 + 4382659683 - 313947433 = -24*f. What is f rounded to the nearest 1000000?\nAnswer: -148000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90440 and 76?\nAnswer: 90440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*r - 95*r - 44*r - 23*r.\nAnswer: -150*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gkggqbkghh. What is prob of picking 2 b and 1 k?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18943606?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 + -0.6. Suppose 1061*h - 1047*h - 224 = 0. Let b be (1*(-36)\/64)\/((-24)\/h). What is the closest to 2\/5 in 0, u, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 10*k + 557. Calculate y(-29).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*i**2*y**3 + 152*i**2*y**2 - 22*i**2 + 7 with respect to y.\nAnswer: -15*i**2*y**2 + 304*i**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.1447463 rounded to three dps?\nAnswer: 7.145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*n = -20*n - 240. Let y = 221 - n. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63456 divided by -179?\nAnswer: 63456\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45 - 21. Suppose 2*g + 6 = -3*o, -2*g - 5*o + o = 8. Suppose g = y - 5*y + u. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3720, -4801, -5882?\nAnswer: -6963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4255.1 + 4255. Suppose 2*u - 1025 = 7*u. Is u less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -36. Suppose -32*o + 5*o + 196 = o. Solve w + 4*v = -g, 3*w + 11 = o*w - 3*v for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4.43 (b) -1\/9 (c) 1\/400 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1030700357 to the nearest integer?\nAnswer: 32105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 5*a**2 - 6*a + 10. Let v(z) = -2*z**3 + 11*z**2 + 14*z - 19. Calculate -9*h(i) - 4*v(i).\nAnswer: -i**3 + i**2 - 2*i - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m**2 + 12*m - 6. Let f be o(5). Suppose -258 + 694 = f*p. What are the prime factors of p?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaaaaa. Give prob of picking 4 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(704) + -2)*3 + 4.\nAnswer: 1 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + l - 8 = 3*l, 5*a + 2*l - 8 = 0. Suppose a = i - 5. Let k be ((-28)\/8)\/i*0. Solve -5*u - 40 + 15 = k for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22480717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 1 - 4*d + 6*d - 2 - d**3 + 3*d**3. What is the units digit of i(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7491 + 7492. Which is smaller: k or -50\/261?\nAnswer: -50\/261","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3*sqrt(171)\/(sqrt(108)\/sqrt(1452)) - (-1*sqrt(57)*6)\/(sqrt(33)\/(sqrt(11)*-2))).\nAnswer: 270*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 887 a factor of 1040544577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34411 = 26*m - 13*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ybii when four letters picked without replacement from {i: 4, b: 3, y: 6}.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 4, 3\/4, 5, 0.33?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 1\/3 (b) 4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214162410.\nAnswer: 2, 3, 5, 7, 11, 83, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, l: 3}. What is prob of sequence yy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -486.174349 take away 54572?\nAnswer: -55058.174349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of 7\/6*p**3 + 0*p + 0*p**4 + 0*p**5 + 6*p**2 - 1\/30*p**6 + 0. What is the derivative of g(n) wrt n?\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 26*k = 25*k + 37, -43 = 5*s - 4*k for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -347.2 rounded to the nearest ten?\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27629324?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 0.5, 0.2, -0.5, -0.9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104637518.\nAnswer: 2, 67, 780877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -5*q + 106, -4*q = 4*d + 364 - 124. Let h = d + 87. What is the remainder when 54 is divided by h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t - w + 7, 0 = 4*w - 1 + 13 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 20*w**2 - 54*w + 21. Let v be z(-17). Let r = v - -48. What is the highest common factor of 32 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cg when two letters picked without replacement from ccggg.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102 - 35*a**3 + 94*a**3 + 103.\nAnswer: 59*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {q: 9, v: 11}.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2777 divided by 3\nAnswer: 2777\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kntt when four letters picked without replacement from ngttggkgakggkg?\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24859121 divided by 5.\nAnswer: -24859121\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 11:29 PM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1114110 and 8370?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p = -13*p + 10. Let v(q) = -q - 3. Let j be v(-6). Let s = j - p. Which is the third smallest value? (a) s (b) 0.3 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 258221466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28*(-14)\/(-28) + 17.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/7 (b) -0.5 (c) -6 (d) 51 (e) 3 (f) -6\/7 (g) -2\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11, 18, 11, -16, -69?\n\"Answer: -o**3 - o**2 + 17*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2502 = 2*h + k, 4170 = -5*h - 4*k. Let t = h - -1380. What are the prime factors of t?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-550)\/330*3 - (38\/(-4) - 9\/(-6)). Suppose -5*t = 10, 0*t = -3*n + 4*t + 20. Solve -1\/4*x**q + x + 0 + 3\/8*x**n - 3\/2*x**2 = 0 for x.\nAnswer: -2, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ihh when three letters picked without replacement from {q: 1, i: 1, f: 1, h: 3, z: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 45 + -301a9b?\nAnswer: -301a56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2585)\/(-28435)*(-3)\/21.\nAnswer: -1\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7074091 is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k = -16 - 24 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 27.\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 divided by -1?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 270262811?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 359 and -0.08.\nAnswer: -28.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 179*h**3 + 6*h**2 - 12*h. Let m(u) = u**2 - 2*u. Determine l(a) - 6*m(a).\nAnswer: 179*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, t: 2}. What is prob of picking 2 t and 2 p?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y + 3 + 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 246 divide 37735416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 22*l**2 + 460*l + 46. Let k be j(-16). Calculate the greatest common divisor of k and 994.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/110 and 121\/9280.\nAnswer: 102080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 18*w**2 - 63*w + 1. What is m(-21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 518\/11, -0.3, 1056, -1\/6?\nAnswer: 1056","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2155*l + 53946. Give i(-25).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -634366 divided by 838?\nAnswer: -757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*t + 171 - 523 = 0. Let h(k) = -2*k**2 - 13*k + 17. Calculate h(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {a: 1, s: 7}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-26)\/(-39) + (-4)\/6 - -270. What is the highest common factor of 10 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmhhmmcmmmcmhh. Give prob of picking 2 m.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39648 and 8260.\nAnswer: 198240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2923 divided by 24236.\nAnswer: -2923\/24236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -p**4 - 16*p - 156.\nAnswer: -4*p**3 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*t - 75*t = -95. Suppose -2*m = -x - t, -6*m = -m + 2*x - 52. What is the highest common divisor of m and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 30*k + 655. Let w be h(-17). Sort -3, w, -1 in descending order.\nAnswer: w, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/2330 and 79\/436.\nAnswer: 507940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1786.\nAnswer: 2, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 12:14 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 466*a - 439*a - 540. What is the highest common factor of 1850 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 122 + -48. Which is smaller: t or 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25b82 (base 14) in base 4?\nAnswer: 112222112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 4*m + 2\/3*m**2 - 14\/3 = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 3*h**2 + 2*h - 4*h**2 + 5 + 4*h - 3*h**2. Let l be k(-5). Which is the third biggest value? (a) -2 (b) -1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -330650.05 rounded to the nearest ten thousand?\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -171 - 49. Calculate the remainder when d is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7378*i**2 + 14191*i**2 - 7282*i**2)*(-2*i + 1 - 1)*(i - i - 4*i) to the form j*i**4 + h + k*i**2 + m*i**3 + n*i and give j.\nAnswer: -3752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(99)*-2 + -6*(sqrt(99) + 3))*3)**2.\nAnswer: 5616*sqrt(11) + 58545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10526 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) + sqrt(209) + (sqrt(209)*-3 + sqrt(209) - sqrt(209) - sqrt(209)))\/sqrt(11) + -1.\nAnswer: -2*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27976?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 860208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -6*v + 21. Suppose 8*x - v = 5*x. What is the greatest common divisor of x and 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0882 less than -26.1?\nAnswer: -26.1882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30553.88 years to months.\nAnswer: 366646.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (15\/18)\/(3\/72*4). Solve -12 = -4*u, x*u = -5*q - 0 - 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3712 + -2886. What is the highest common factor of x and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 10*c + 3. Let v = -17 + 7. Is x(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 5:38 AM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 10816*l - 1483. Is q(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 4) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4004282791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = n - 5, -4*n + 4*j + 3 = -17. Solve n*l = 5*v - 25, -v + 10 = v - 5*l for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2 + 3*n**2 - 3*n**2 + 13 - 23*n + 2*n**2. Let o(z) = 4*z**2 - 24*z + 12. Let f(s) = -3*o(s) + 4*v(s). Factor f(j).\nAnswer: 4*(j - 4)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 129, 133, 151, 189, 253, 349, 483, 661?\n\"Answer: z**3 + z**2 - 6*z + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -55.1 - -64. Let x = 97.5 - z. Let k = x - 98. Round k to 0 dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**2 - 4*a**2 - a**2 + (56*a - 33*a - 210*a)*(2 - 2*a - 2).\nAnswer: 372*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (32\/(-20))\/(2\/(-5)). Which is bigger: 23\/6 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -o**5\/60 - 5*o**4\/24 + 2*o**3\/3 + 10*o**2. Let m = -8 + 3. Determine i(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*v + 504 = 0. Let a = v - -151. Let u = 167 - a. What are the prime factors of u?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2283 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: Collect the terms in 33*h**3 - 31*h**3 - 4*h**2 + 4*h**2.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 110.84 + -98. Let z = n + -14. Let k = z + 1.258. What is k rounded to 2 decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 17, x: 2}. What is prob of picking 4 p?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 7*a = 0. Let l(h) be the second derivative of 0*h**3 + 1\/30*h**6 + a + 0*h**2 - 1\/20*h**5 + 0*h**4 - 9*h. Suppose l(d) = 0. What is d?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 9, t: 2, b: 6}.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 10 = 3*u - 6, -u - t + 6 = 0. Suppose n + 2*n = -u*z + 3, -3*z - 4*n + 4 = 0. Solve -3*m + z*m = -3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 11)*(-1 + 1 - 2*r**2) + 2*r**2 - 3*r**2 - r**2.\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 u when three letters picked without replacement from {u: 7, k: 2, p: 1}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-233646)\/(-7280) + -32 - ((-50)\/112 - 40\/(-70))?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -146260 (base 7) in base 8?\nAnswer: -67701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.06*-32\nAnswer: -1.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fzzxfzff. What is prob of sequence fzzx?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 124470243127 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1279, -2570, -3883, -5224, -6599, -8014?\n\"Answer: -j**3 - 5*j**2 - 1269*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 223.\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 7*n + 15. Let j be a(3). Let u be ((-54)\/j)\/6 + 5. Solve u*o - 1 = -3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 0 - 2 + 3 - o**2 + o + 3*o**3. Suppose -2*z = b - 2, 6*b - 3*b - 6 = 3*z. What is the tens digit of f(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 367, 113, -3\/20?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u - 527*u**2 + 527*u**2 + 31*u**3 - 25 - 29*u**3 to the form s + g*u**2 + v*u + m*u**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(2 - 9) + (-8)\/2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1046931?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21 - 3 + 8)*(26*b - 10*b + 12*b)*(b - 6*b + 0*b)*(2*b + 0 + 0) as q*b + y*b**2 + p*b**3 + u and give p.\nAnswer: 4480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 229376135*c**3*g + 11*c**2*g - 4*c**2 + 56*c - 63*g + 26 wrt c?\nAnswer: 1376256810*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2370\/35 + (-4)\/(-14). Let v = x - 19. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 7*f - 6. Let l be x(-5). Suppose -l = -4*s + 4. Calculate the greatest common factor of s and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 207 divide 428642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 5*j**2 - 42*j + 269. Is p(29) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/4 + 1176\/(-2912) and -103\/312?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43*((-4)\/(-2) + -1)*(-37)\/(-2 + 39).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t**2 - 45*t + 18. Suppose -4*k - 77 = -2*c - 371, 5*c + 25 = 0. What is the remainder when k is divided by u(-15)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssxjvxsvvfsxjssx. What is prob of picking 1 j, 2 v, and 1 x?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 9*o**3 + 5*o. Suppose 0*t - 4*t = 4*x, -5*x - 2*t = 15. Let l(i) = -14*i**3 - 7*i. Let g be (2 + (-116)\/16)*(-232)\/(-174). Calculate g*q(b) + x*l(b).\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jsgb when four letters picked without replacement from {b: 1, g: 2, r: 2, s: 2, j: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of j**9\/1512 - j**8\/210 + j**7\/84 - j**6\/90 + j**3\/3 + 2*j**2. Let x(z) be the first derivative of m(z). Factor x(q).\nAnswer: 2*q**2*(q - 2)*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**4\/4 - 400647*a**3 - 53517223143*a**2 - 2996022240120*a - 41939914321200 = 0 for a.\nAnswer: -267070, -28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 1900 = 12*r. Let t = r - 187. Solve 5*u = 4*x + 2, x = u + 2*u + t for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3. Let s(n) = -24. Let k(d) = -3*d**3 + 1. Let g(o) = -24*k(o) - s(o). Calculate -2*g(p) - 162*z(p).\nAnswer: 18*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 874463770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 106 in -4\/9, -19, 0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50\/15 + (-26)\/(-39).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, 112, 424, 872, 1462, 2200?\nAnswer: 3092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-60*f**2 + 130*f**2 + 75*f**2)*(-2*f + 2*f + 4*f**2) to the form l + r*f**4 + g*f**3 + p*f + w*f**2 and give r.\nAnswer: 580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j - 7*j + 6*j)*(-5*j + 0*j - j)*(0 + 3 - 1)*(0 - 1 + 2)*(-20 - 1 - 21).\nAnswer: -3024*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 t, and 1 z when three letters picked without replacement from {d: 2, t: 2, n: 2, q: 1, z: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 2:45 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o + 3*f, 0 = -4*o + 5*f + 31 - 29 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 + 0.4. Let n be ((1 - 0)\/(5\/55))\/(-1). Let u be (-4 - (n + 4)) + 39\/(-9). Which is the third biggest value? (a) -2 (b) 6 (c) u (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c - 2*c + 29 - 3 = 2*r, 33*r + 4*r - 8 = 41*r for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 71? (a) 0 (b) -3 (c) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 998692177 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2637 + -2636.97138. Let w = k + 0.19908. Let a = -0.23 + w. Round a to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -617 divided by 7249\nAnswer: -617\/7249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -149.000107 + 149. Round a to five dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23349685 is divided by 51431.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 1865214?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 793.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 131955.3 decades?\nAnswer: 1319.553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + 32. Calculate the remainder when 107 is divided by 50\/(-6)*(-54)\/w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -185 - -188. Find the third derivative of -26*s**2 - 38*s**3 + 91*s**2 + 10*s**a wrt s.\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24\/5 + -81\/20. What is the nearest to 5 in u, -3, -2\/11?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 414 and 276?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 0*l + 2*l**2)*(25*l**3 - 101*l**3 - 2 - 22*l**3).\nAnswer: -196*l**5 - 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -110*d + 23*d - 10*d**2 - d**5 - 11*d**2 - 148*d + 0*d**2 wrt d?\nAnswer: -20*d**3 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 9:06 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -9\/8 and -153.6648 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**3 + 13*i + 55. Let z = 10 - 16. Let x(s) = 3*s**3 - 15*s - 56. Let f(v) = z*k(v) - 5*x(v). Differentiate f(g) wrt g.\nAnswer: -9*g**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5401 (base 6) to base 11.\nAnswer: -a14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 42*x - 83*x - 49*x - 2*x**2 - 27*x + 57*x to d + i*x**2 + r*x and give r.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 1619908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 4*b + 4*p - 1, 3*b = 5*p - 5. Suppose b*z - 7084 + 939 = 0. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 14*h**2 - 8*h + 2. Let g be (3 + 13)*(-4)\/(-8). Let s(n) = -9*n**2 + 5*n - 1. Let m = -15 - -20. Give g*s(o) + m*t(o).\nAnswer: -2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 6*c - 5. Let a be t(7). Suppose 4*d = a*v + 92, -2*d = -3*d - 5*v + 12. List the prime factors of d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 5:50 AM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 51a2 + 0?\nAnswer: 51a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206 = -203*g + 234*g - 20 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/6 - 19*i\/3 - 12.\nAnswer: -(i + 2)*(i + 36)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8806477 - 163.\nAnswer: -8806640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 461983*h - 230978*h - 231005*h - 4*h**2.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 3:01 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -49*t + 288. Determine g(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -2) + (-1 - 7) - (-94 + 99)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 702276?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1807195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 117.21217?\nAnswer: 100.21217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -76, -150, -222, -292, -360, -426, -490?\n\"Answer: y**2 - 77*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 1714*i**3 - 7*i**2 - 14*i + 14. Let z(l) = 137690*l**3 - 562*l**2 - 1124*l + 1124. Give 562*r(t) - 7*z(t).\nAnswer: -562*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4161*c - 3*b = -4157*c + 23, 0 = -3*c + 5*b + 19 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71393*r = -71371*r + 126742. Which is smaller: -5763 or r?\nAnswer: -5763","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27923827 or 83771485\/3?\nAnswer: 83771485\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12789 is divided by 4135?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 124 = -2*v. Let c = v + 35. Let h = 6 + c. Calculate the remainder when 16 is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156623.\nAnswer: 156623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(0 + sqrt(3) + 3) + (sqrt(12)*3 - sqrt(3))*1)**2.\nAnswer: 216*sqrt(3) + 387","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3282 - 110 = 135*m - 54*m - 959 for m.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**5 + 33*i**4 - 81*i**3 + 75*i**2 - 24*i.\nAnswer: -3*i*(i - 8)*(i - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 31237, 62517, 93807, 125113, 156441, 187797?\n\"Answer: x**3 - x**2 + 31276*x - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2562565 + 2562565 - 55*t**3.\nAnswer: -55*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i - 27*i = -4407. 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 nearest to -8\/5 in -2312, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -196*v + 200*v - 12 - 5 + 13. Let n(m) = 8*m - 7. Determine 3*n(z) - 5*u(z).\nAnswer: 4*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 135*s + 29. Let z(c) = -373*c + 25. Determine z(l(n)).\nAnswer: -50355*n - 10792","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 241.6 and -0.3.\nAnswer: -72.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 > 18222\/1945?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-35*8\/(-112))\/(2\/16). Suppose -2*l = -l - 5. Suppose 15 = 2*m - l. What is the highest common divisor of m and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -5*k**3 + 35*k**2 + 5*k - 7. Let v(f) = 2*f**3 - 12*f**2 - 2*f + 2. Let t(w) = -3*h(w) - 8*v(w). What is t(-9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3546520501 and 799?\nAnswer: 799","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**2 + 32*v - 49. Let o be j(14). Is (3 + -97467)\/(-4) - o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*k + 6 + 20*k - 9*k.\nAnswer: -k + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2332*m**3 - 1841*m**2?\nAnswer: -13992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y - 2*y = -574. Are 1 and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 142400140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4728 and -27.\nAnswer: -4755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 5, -2, -11?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*c + 15*c = 0, 0 = 5*p - c + 1545. Let s = -197 - p. What is the highest common divisor of 84 and s?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, w: 6}. What is prob of sequence ww?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -6. Let g = -2 + b. Let r = 2714.3 + -2714. What is the second biggest value in r, 18, g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + j + 1. Let v be x(1). Suppose 0 = -4*m + 4*z - 212, v*z - 44 = m + 3. Is -57 at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 36 = 4*w, -4*w + p + 15 - 4 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6254?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 2744?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 7. Let q be ((-4)\/6)\/((-2)\/h). Let d(k) be the third derivative of k**4\/24 - 2*k**2. Let l(f) = 4*f + 2. Calculate q*l(a) + 3*d(a).\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 676.8591 months to years.\nAnswer: 56.404925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*w**2 - 10522 - 76*w**2 - 7763.\nAnswer: w**2 - 18285","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 + 19. Let o = h + 2. Let i(r) = 300 - 300 - 3*r**o. Calculate i(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -555, 2, -1, 4, -0.2 in descending order.\nAnswer: 7, 4, 2, -0.2, -1, -555","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -551*v**2 + 0 + 0 + 284*v**2 + 269*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l + 4. Let v(j) = 2*j + 9. Suppose 5*z - x + 3*x - 76 = 0, 3*x + 33 = 3*z. Let m(g) = z*f(g) - 6*v(g). Is m(13) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 4 - 5)*(2*l + 7*l - 3*l) + 0*l - 2*l + l)*(-21*l**2 + 12*l**2 - 16*l**2 + (1 - 1 + 1)*(0*l + 0*l - 2*l**2) + 3*l**2 + 3*l**2 - 4*l**2).\nAnswer: -275*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-36)*-12*(-4)\/(-48)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/6 - 51\/(-9). Solve -4*q - d*o + 24 = -o, -3*q = -5*o - 2 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9517*f*g*s + 9*f*g*z - 2*f*s**3 + f*s*z + 2*f*s + 5*f*z - 2*g*s**3 + 815*s**3 wrt g.\nAnswer: 9517*f*s + 9*f*z - 2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 32*p + 20 = -28*p, 0 = -3*k - 4*p + 25 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/21 + (-13810)\/(-14). Suppose -3*y = -5*y + r. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -40 + -33 + 68\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/9)\/(1\/9). Let d = m + -5. Let x = -60\/259 + -2\/37. Which is the closest to x? (a) -1 (b) -2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 2:22 PM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 35521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2 + 1 + 5 - 3*z + z**2 - 3. Let b be p(2). Suppose -3*a + x + 2 = 0, -a = -2*x + 4 - 8. Sort a, 3, b in descending order.\nAnswer: 3, a, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10664*o = 10566*o - 3430 for o.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 149160 divided by -5?\nAnswer: -29832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5.46, -2, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-561)\/(-21) - (-2)\/7. Let p be 80\/1*12\/15. Let t = p - k. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**3*k**2*k**(-1)*k**(-5)\/k*(k**(-4)\/k**(-2\/3))**(5\/3) assuming k is positive.\nAnswer: k**(-68\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1135144 to the nearest one hundred.\nAnswer: 1135100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of 0*g + 0*g**4 + 0*g**5 - 7\/6*g**3 + 0 + 12*g**2 - 1\/120*g**6. Suppose 0 = 9*a - 3*a. Give v(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -234 = -i - 8*i. Let d(x) = 8*x + 4. Let j be d(6). Calculate the greatest common divisor of j and i.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -3\/4 (c) -11\/7 (d) 4 (e) -4336 (f) 3 (g) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37783 - -5244. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 c when four letters picked without replacement from fccccfc?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 81 + -27?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/2 + 144\/6. Which is bigger: 28 or d?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17*h + 38*h - 15*h)*(0*h**3 + 2*h**3 - h**3) + 186*h**4 + 0*h**2 + 0*h**2 + 6206*h**4 in the form t*h**2 + u*h + n + k*h**3 + g*h**4 and give g.\nAnswer: 6398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.081 plus -0.095?\nAnswer: -0.176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*k - 2*k + 75*k**3 - 38*k**3 - 40*k**3 - 11*k.\nAnswer: -3*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*w + v - 22, -5*w + 19 = v. Suppose -w*a = -3 - 51. Is a a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -112, -1, 15, -4, 1.\nAnswer: -112, -4, -1, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yvxvyyxxxyxv. What is prob of picking 2 v?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 540.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-247)\/209 - -1*1. Which is the nearest to 0.3? (a) y (b) -1 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 718*s**2 - 1267*s**2 + 560*s**2 + 1 - 5.\nAnswer: 11*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 1 = w. Suppose 5*c - w = 99. Suppose -4*q - q = -c. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/5616 and -10\/27?\nAnswer: 5616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*r + 3 + 13*r - 3 to q*r + u and give q.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 + 16.4. What is m rounded to zero decimal places?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39133*f**4 - 110*f**3 - 18228376*f**2 wrt f?\nAnswer: -939192*f - 660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 775.78 + 0.272.\nAnswer: 776.052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/8*(-36)\/594.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177 = 2*a - 685. Let z = -294 + a. Suppose 0 = -4*d - 17 + z. List the prime factors of d.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/7)\/((-52)\/(-1596)*19).\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*j**3*y**3 - 31*j**3*y**2 + 15*j**3 - j**2*y**3 + 8*j**2 + 3*j*y**3 + 3*j wrt j.\nAnswer: -60*y**3 - 186*y**2 + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-2) - (-172)\/258*15 - -107?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 1796*a - 50. Give i(0).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.1399 - -2.6399. Which is the nearest to -3? (a) -2 (b) -50 (c) v (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203 is divided by (-796)\/(-8) + -4*5\/(-40).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.316 and 33.\nAnswer: 10.428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2289.65 and -5.\nAnswer: 2284.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27940 and 111760?\nAnswer: 111760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, u: 3, v: 3, j: 4}. What is prob of picking 1 j and 3 u?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 156 - 1640 = 0. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32752706 by 94661.\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nxxm when four letters picked without replacement from {x: 3, b: 1, n: 3, m: 4}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.469398cm to kilometers.\nAnswer: 0.00009469398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2*-4*(-3 + sqrt(7) + sqrt(112)*-1).\nAnswer: 22 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t**2 - 2*t - 9. Let j(v) = -v**2 + 22*v + 27. Let d be j(23). Let n be b(d). Let h = -10.1 - -10. Which is smaller: h or n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*k = -15. Suppose -34 = -k*h + 286. Suppose -2*r - h = -6*r. Is 3 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h**3 - 7*h**2 - h + 2. Let f(s) = -s**2 + 1. What is -2*f(y) + t(y)?\nAnswer: -3*y**3 - 5*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 702.5 - 703. What is the second biggest value in 5, -0.02, g, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 347 + 13400042*b**2 - 349 - 16*b**3 - 13400042*b**2.\nAnswer: -16*b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4*t**2 - 3*t - 4. Let u be r(4). Suppose 5*g = 2*m - 55, -u = -2*m - g - g. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -981.696 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 0) + -3*(-4)\/(-6). Let y be ((-6)\/10 - r) + 76\/10. Suppose -2*q - 3*b + 23 = 0, -4*q = 26*b - 21*b - 41. Solve q*u = 4 + y for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/4)*s**(-10\/7)*s)**(-42) assuming s is positive.\nAnswer: s**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-2)*(532\/(-6))\/19\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/82, -0.4, -2, -2.7, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uyig when four letters picked without replacement from {g: 1, u: 4, v: 6, i: 3, s: 1, y: 1}.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(315)\/(sqrt(5)*1)*4)\/((sqrt(1944)*-1)\/(sqrt(6) + sqrt(864)*-1)) + -1.\nAnswer: -88*sqrt(7)\/3 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4860\/105)\/9 + 3\/(-21). Solve -7 = -2*t + 70*p - 67*p, 5*t = 3*p - z for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y + 3394 = 18024. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -216*c**3*i + 5*c**2*i - 2*c*i - 141*c - 3 wrt c?\nAnswer: -1296*c*i + 10*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -139 + 141. Is t smaller than -1\/65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 82760336.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**2 - d**2 + 3*d**2)*(-d**2 - 2 + 2)*(-3 - 2*d + 3).\nAnswer: 12*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1425\/(-40)*((-27)\/(1053\/(-104)))\/(-2)*-2.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5134428*g**3*j**2 + 539923695*g**3 + 11*g**2*j with respect to j.\nAnswer: 10268856*g**3*j + 11*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 76 in -0.1, 0.4, -5\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 25 = -z - 4*z, -3*m - 3*z + 15 = 0. Suppose 5*b = 5*q - 3 - 22, m = 3*b - 9. Does 7 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7*(-11)\/((-231)\/18). Solve 2*z - 2*b = s, z + z - 5*b = 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -39?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of 17*w**2 + 38*w + 29. What is the tens digit of f(15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - 16. Let u(l) = 9*l**2 + 14*l - 18. Let w be u(v). Suppose -2*n - 3*t = -6*t - 2438, -3*n = 5*t - w. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -797330 by 2246.\nAnswer: -355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, n: 2, i: 7}. Give prob of sequence qiiq.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -3, -4, 18 in decreasing order.\nAnswer: 18, -3, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -23*r + 1628. Suppose 0 = 5*w + 2*k - r, -3*k - 2 = w - 9. Calculate the remainder when 62 is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0, 0.04, -25 in descending order.\nAnswer: 0.04, 0, -0.3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 2 (c) -12 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22647\/418 - -937\/19. What is the common denominator of m and (362 - 356)*5\/11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, v: 7}. Give prob of sequence vv.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzqzqqqqzqq. Give prob of picking 3 q.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.6, 3, 11.9.\nAnswer: -0.6, 0.2, 3, 11.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 45054 (base 6) to base 4\nAnswer: 1202122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -2*l**4 + 230*l**3 + 672*l**2 - 165376*l + 1662976 = 0.\nAnswer: -29, 16, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1300) - 3*sqrt(1300)*1.\nAnswer: -20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -48, 5 in decreasing order.\nAnswer: 18, 5, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -43? (a) 0.4 (b) -1051\/5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (16 - 79)\/((-3)\/21). Find the second derivative of -5*o**2 - 501*o - u*o - 6*o**4 + 1013*o wrt o.\nAnswer: -72*o**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-10) + (-22)\/(-55). Suppose l = -z + 3 + 35. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3022443 (base 5) to base 12.\nAnswer: -24096","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14208698 a multiple of 933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 36428\/12 - (-3)\/9. Suppose -2*y + c = -1214, -c + p = 5*y - 3*c. Suppose 5*q = -3*g + y, 0*g + 125 = q + 4*g. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -132*d. Let b(u) = 25*u. Let k(g) = -11*b(g) - 2*f(g). Let y(r) = 251*r**2 + 2*r. Calculate k(y(w)).\nAnswer: -2761*w**2 - 22*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**13)**(-27) assuming h is positive.\nAnswer: h**(-351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8558 + -8352?\nAnswer: -18021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 423 + -414. What is the third derivative of -14*p**2 - 8*p**3 + 13*p**6 - y*p**2 - 7*p**6 wrt p?\nAnswer: 720*p**3 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4)*(-542)\/(-4607)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.001 times 45.12\nAnswer: 0.04512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 5*r. Let s(x) = 4*x + 1. Let m(w) = -6*i(w) + 7*s(w). Suppose 5*d - 25 = -7*j + 4*j, j = 2*d + 1. Calculate m(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 3*d - 3. Let h be x(-3). Suppose 0*n + 10 = -3*i + 2*n, 5*i = 3*n - h. Let y = -1 + i. Is y bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3612*o**2 - 15*o - 58. Let x be p(-6). Round x to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 290 divide 847743543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**6\/(d*d**(1\/2)*d)*(d*d**(-1\/2))\/d**(-6)*(d*d*d\/d**1*d*d*d*d)**(-22)*(d*d**2)**43 assuming d is positive.\nAnswer: d**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8483386 is divided by 106.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**5 + 6*m**5 - 2*m**5)*((-1 + 2 + 1)*(-4 + 2 + 3) + 2 + 3 - 6 + 0 - 4 + 2 + 3 - 4 + 7 + 4 + 0 - 1).\nAnswer: 40*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -14189*m. Let d(n) = 6*n. Calculate z(d(w)).\nAnswer: -85134*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1 + 58.4?\nAnswer: 59.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 334\/30 + 10870\/(-1087). Determine h so that 2\/15*h**4 - p*h**2 + 0 - 2\/15*h**3 + 2\/15*h = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) 1\/6 (c) 0.17 (d) 35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/2)*(x*x**2)\/x)**19 assuming x is positive.\nAnswer: x**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -192.8 + 259.9. What is y rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 175*w - 541 - 5409 for w.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = q + 4*f, -6*q + 3 = -2*q + 3*f for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*-3)\/((-2058)\/196).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 2*w - 2. Let k(q) = 0 - 6 - 5 + 10. Let z(i) = i**2 + 5*i - 25. Let v be z(-8). Give v*l(j) + 3*k(j).\nAnswer: -j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13911\/5 + -2782. Put 1\/2, 217, g in ascending order.\nAnswer: g, 1\/2, 217","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.9 - 13.9. Which is the closest to -1\/3? (a) 1 (b) -4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 8\/5 of a minute?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dm when two letters picked without replacement from yyymdddmymmydy.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 2*y**2 + 2*y. Suppose -6 - 2 = 4*i. Let z be p(i). Let u(v) = -v + 1. Let g be u(z). Solve g*c - 2*c = 0, 4*k + 16 = 5*c for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + a + 5. Let g be l(-4). Is 2\/5 - 189\/g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 474*k**5 - 129*k**3 - 35*k**2 - 7191*k - 14882 wrt k.\nAnswer: 9480*k**3 - 774*k - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23420068993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -j + 8. Suppose -j*y + 6*y = 12. Suppose -y - 8 = -l. Solve -2*r - r + l = 5*t, 3*r - 3*t = 3 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/16*31\/(1395\/150)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -400*d + 16*d**2 - 29*d**2 + 4*d**3 + 1532 - 132 - 60*d + 29*d**2 = 0.\nAnswer: -14, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 244 + 18912?\nAnswer: 19156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 - 30*t - 223. What are the prime factors of o(-18)?\nAnswer: 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8354 (b) 15\/34 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-3)\/k**(-5)*(k**(-2\/95))**(1\/6) assuming k is positive.\nAnswer: k**(569\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + d**2 + 2*d - 3. Let s(o) = -o**2 - 8*o - 2. Let g be s(-6). Let v = g - 8. Calculate the remainder when a(v) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.051372, 0.4, -1 in descending order.\nAnswer: 0.4, -0.051372, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -24*c + 5. Let v be i(0). What is the closest to -1 in 2\/21, v, -4?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 172*q + 4819. Let w be h(-28). Solve 2*l + 6 = -w*u, 5*u = 6*u - l - 3 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4 = 172. Let a be b\/(-6)*3\/2. Solve 5*h + 4 = a for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 8\/2) + (-4 - -5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 18*g - 14. Let w be j(-17). Let t be (-10)\/w*6\/(-6). Suppose 0 - 2*n**2 - t*n**4 - 2\/3*n + 6*n**3 = 0. What is n?\nAnswer: -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 4*n**2 + 3*n - 2. Let u = -18 - -8. Let b = u + 14. Calculate the least common multiple of 5 and w(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in -21\/5, -25.2, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 26*g + 4230 = 0. Let s = g - -146. Solve 1 = -3*y - s*m, -4*y + m + 10 = 2*m for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -2*y**5 + 17*y**3\/3 + 12. Find the third derivative of q(x) wrt x.\nAnswer: -240*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -460 = -0*b - 4*b. Let i = b - 73. Does 21 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 21 = -29, -4*k + 4*h + 32 = 0. Let m be -2 - 0 - (-15)\/3. Suppose -m*r = u - 232, -k*u - u + r = -1144. Is 14 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1*(1 + sqrt(432) + sqrt(432))*-1)**2.\nAnswer: -10374 - 288*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 2*g - 2 - 0, 4*g - 2*k - 44 = 0. Suppose -5*j - 212 = -g*j. What are the prime factors of j?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2243, 4475, 6707, 8939?\n\"Answer: 2232*o + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pxx when three letters picked without replacement from vvxvvssjvpjxvvvxvjj?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -76976, -153854, -230646, -307310, -383804, -460086, -536114?\n\"Answer: 7*w**3 + w**2 - 76930*w - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11.2, -0.1, -2\/1917, 1, -4, -3.3?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 790523 is divided by 128?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -193395428919354 + 193395428919354 + 2*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 863726 or 863729?\nAnswer: 863729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vfttt. What is prob of picking 2 t?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 92 and 1.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1153367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.8 + 2.2. Which is the second smallest value? (a) 18 (b) 0 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 174, 1\/36, -0.5, -5.\nAnswer: -5, -0.5, 1\/36, 174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3966 + 71447\/18. Calculate the common denominator of f and -87\/26.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(325) + 2)**2 + sqrt(325) + (0 + sqrt(325) + sqrt(325))*5 + 0 - ((sqrt(325) + 1)*-6 + (sqrt(325) - -4*sqrt(325)*6)**2).\nAnswer: -202790 + 105*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1510 - -1508. Which is the nearest to -0.24? (a) -1 (b) l (c) 4 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 - (4 + -7) - 4. Let y be 1 + (2 - (-2 + 1)). Suppose 13 = 2*i - j - 6, i - y*j = 20. Solve 0*v = v + 4*l - n, v + i = 2*l for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*i + 11. Suppose m - 1188 = -2*m - i*r, -5*m - 3*r = -1996. Let u = m - 198. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -s**5 + 12*s**6 + 7 + 6*s**6 + 2*s**5 + 6*s**5 + 3*s**6 - 7*s**2 wrt s?\nAnswer: 2520*s**3 + 420*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*y + 702 = -543 - 523 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122 + 889 + 1341 + y.\nAnswer: y + 2352","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -2.2, 5, 4024, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Round -63.796585 to 0 dps.\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 59398033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**2 + 5*i + 8. Let w be u(-4). Let m(l) = w*l**2 - 4*l**2 - 20*l**2. Let y(q) = -9*q**2. What is m(y(n))?\nAnswer: -324*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 6:16 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1973 divided by -6?\nAnswer: -1973\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -23\/8, -0.3, 1970, -4, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -71, -84, -99, -116?\n\"Answer: -j**2 - 10*j - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 11*p**3 - 13*p**2 + 2*p - 13. Let a = -10 + 45. Let z = -7 + a. Suppose 4*o + z = 4. Let y(b) = -5*b**3 + 6*b**2 - b + 6. Give o*d(x) - 13*y(x).\nAnswer: -x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 10\/14 + (1131\/2184*184 - 15)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -12*p**2 - 144*p + 26. Let n be k(-12). Let s be (0 - 5)*78\/(-15). What is the highest common factor of n and s?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 12:52 AM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2584361 times 8?\nAnswer: 20674888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/21 + 156\/(-21). Let z = n - -10. Is 188\/8*z - 4 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.4763783 rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 549948 is divided by 239.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 361 + -361.1. What is the nearest to -138 in z, 0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (327\/15 - 1)*(-17015)\/(-166)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 46020.\nAnswer: 276120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1979622801 to the nearest integer?\nAnswer: 44493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/((-4)\/38 - 567\/5985). Sort 4, -16, c, -2, 2 in decreasing order.\nAnswer: 4, 2, -2, c, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -76*i - 239*i + 2205 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 9*t - 229. Let n be d(26). Solve -z + 4*h - 2 = -18, n*h = -z - 11 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -85, -3\/55, 1\/21?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 6 - 6)*(-4*f**3 + f**3 + 2*f**3 + (-3*f**3 + f**3 + 0*f**3)*(-2 + 1 - 1)).\nAnswer: 24*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of c**7\/1050 - c**6\/600 - c**5\/300 + c**4\/120 + c**2\/2 + 3. Let r(d) be the second derivative of f(d). Factor r(q).\nAnswer: q*(q - 1)**2*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -15*i**2 + 12*i + 24. Let a(n) = n**2 - n - 2. Let v(r) = 12*a(r) + s(r). Let h(o) = o**2 - 4*o. What is h(v(c))?\nAnswer: 9*c**4 + 12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 2*m = -0*m - 3*m - 3, -17*n - 4*m - 401 + 109 = -56*n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 3*c**2 - 3*c - 4. Let z be b(-3). Suppose 0*s + 25 = z*s. What are the prime factors of (13\/s + -1)*30?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4972237 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 1)*(-3*t**3 + 5*t**3 - 3*t**3) + (0*t + t + 4*t)*(t**2 - 2*t**2 + 3*t**2) in the form c*t + y*t**3 + z + d*t**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1332 by 1.\nAnswer: 1332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/144 and (138\/40365)\/((-12)\/125).\nAnswer: 5616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -139 + (196 - 41) - 88.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 135 + -123. Suppose 0 = -7*a + 4*a + s. Solve -5*f - 5*i = 0, 5*i + 9 = a*f - 0*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -0*g + 10. Let p = -1674.4 + 1674.35. Sort -14, g, p in ascending order.\nAnswer: -14, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56, -2\/19, 0.2, 2\/5, 11\/6 in increasing order.\nAnswer: -56, -2\/19, 0.2, 2\/5, 11\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -117 or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8548?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2*g = -106, 4*r = 5*g + 71 + 56. Suppose 3*f + r = 10. What are the prime factors of 6\/9 - 290\/f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 5:27 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13738?\nAnswer: 2, 6869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 60\/(-8)*6\/(-5). Suppose -5*r = i + 71. Let h = -12 - r. Is h a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 167606 and 2.\nAnswer: 167606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - t + 1. Let l(q) = 13*q + 2. Determine 2*f(w) - l(w).\nAnswer: 2*w**2 - 15*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 2. Let d be (-3)\/(y*1\/2). Suppose -3 = d*m - 2*f - 119, 2*m - 88 = -4*f. Is 20 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 2907345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*v**2 - 12*v**2 - 7*v**2.\nAnswer: -34*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3636502.29 plus -67?\nAnswer: -3636569.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 10. Suppose 3 = 6*p - 45. Which is bigger: p or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 2*b - y, -y = -b - 0*b - 17. Let u = b - -10. Let s(x) = -x**3 - 73*x**2 - 277*x - 72. Let r be s(-69). Sort -2, r, u, 2 in descending order.\nAnswer: 2, -2, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiyi when four letters picked without replacement from iiiyqqiqqqqqq?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 585 a factor of 164589853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2572 + -948. What is the closest to 1 in b, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ozm when three letters picked without replacement from {o: 1, g: 2, m: 2, l: 1, z: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/764 + 29405\/6876. What is the common denominator of c and 19\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/5)*n)\/n**6*(n\/(n*(n**1\/n)\/n))**(-16))**4 assuming n is positive.\nAnswer: n**(-416\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from iiiiiiiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*p = -9*p - 28129. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2046?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -7.92 * -14\nAnswer: 110.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 + 4386*o**2 + 162399*o - 921270.\nAnswer: -3*(o - 1498)*(o - 5)*(o + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + 0\/4)\/1. Let p be -6 + 2 + o + 0. Let y be (p\/8*10)\/(-1). Solve -2*b + 3 = -y*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**2\/9 + 1276*t\/9 - 73246\/9 = 0. What is t?\nAnswer: -691, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 + -23. Let x = l + -9. Suppose 2*q - 3*n + n = 22, 0 = 2*q + x*n + 6. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 3*z + 2*z - 5*p, z + 5*p - 2 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1215 and 297918.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*r**3*z**3 - 128*r**3*z + 4*r**3 + 554*r**2 + 62*z**3 wrt r?\nAnswer: 78*z**3 - 768*z + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19c777 (base 14) to base 12.\nAnswer: -383299","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 15 - 4)*(-3 - 5*m + 4*m + 6).\nAnswer: 16*m - 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {u: 9, l: 9}.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -10*m - 21 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8127 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 7\/6*w**2 + 4\/3*w - 2\/3 - 5\/6*w**3 = 0. Calculate w.\nAnswer: -1, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (47\/4653)\/((-22)\/(-396))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -634\/27 greater than -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3836\/19 + -4 + 2\/19. Let h be ((-132)\/p)\/(1\/(-6)). Let g(c) = -5 + 2 - 3*c - c**2 + 5*c. Give g(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -146995568*f**3 - 113*f - 920251 wrt f?\nAnswer: -881973408*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/2*5\/75*9.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a centimeter in micrometers?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -529, -525, -521, -517, -513?\nAnswer: -509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(66)*1)\/(sqrt(216) + (sqrt(216) - (sqrt(216) + sqrt(216)*3 + sqrt(216)))).\nAnswer: -sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 - 16. Suppose 0 = m*z - 2*z - 1165. Let v = z + -120. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -325*j**3 + j + 521 wrt j?\nAnswer: -975*j**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -10101101010010111100000101?\nAnswer: 10101101010010111100001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.8176 from 9.8.\nAnswer: 11.6176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30055, -26914, -23771, -20626, -17479, -14330, -11179?\nAnswer: -8026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 8*o**4 - 5902*o**3 + 953476*o**2 - 11195438*o - 2858544 = 0.\nAnswer: -1\/4, 13, 216, 509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 133\/2 + 2\/(-4). Calculate the highest common factor of 6 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 7:53 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.06 + -0.46. Let d(o) be the first derivative of o**4\/4 - 16*o**3\/3 + 13*o**2\/2 + 30*o - 8. Let w be d(15). What is the nearest to w in -1, i, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -3*m, -7 = -4*n + 4*m - 3 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8921 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from owwolwwqxottqolwxo. What is prob of sequence xlxw?\nAnswer: 1\/3672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 95 - 19. Let v = b - 72. What is the third smallest value in -2\/9, 0.1, 20, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -9*a - 1. Suppose -4*i + 15 = -i. Let k(u) = 2*u - 2. Let v(g) = 16*g - 11. Let t(w) = 6*k(w) - v(w). Suppose 7 = -4*z - 1. What is i*t(s) + z*b(s)?\nAnswer: -2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 766 is divided by 22\/66*((-2574)\/(-27) + (-4)\/(-6)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 89\/2 of a litre?\nAnswer: 44500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*i - i. Let w be i\/((-4)\/(-202)) - 1. Let c be 6\/4 + w\/(-56). Are c and 2\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 4491923?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42475056 divided by -8.\nAnswer: 5309382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -2. Suppose 5*d - 10 = -c. Solve 5*h = 4*t + 21, 18 = -2*t + 6*h - d*h for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5189462 and 310?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 365 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 157. What is the highest common factor of s and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71302846?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8844511 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*d**6 - 2*d**6 + 2*d**2 - 6*d**6 + 6*d**2 wrt d.\nAnswer: -1320*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*q + 3 + 13 = 0, 0 = -2*i - 4*q - 28. Let h = i + 10. Suppose h = -3*p + 33 + 15. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (6 - (-2 - (0 + -8))).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.9 and 28.\nAnswer: 25.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -5. Suppose 0 = n*v + v - 52. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.01 - -0.1. Let m = 1.69 - r. Let b = m + -2.6. What is the closest to 0.1 in b, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g*(((g**(-2\/5)*g*g)\/g)\/g*g*g*g)\/g*g)*g*g))**3*(g**0)**(-33) assuming g is positive.\nAnswer: g**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1987096 and 24608?\nAnswer: 7948384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*m, 0 = 612*a - 607*a - 2*m + 29 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202056 is divided by 343.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1064 - 1051. Solve -4*t - 2*f + f = x, -t - 19 = -5*f for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 8:45 PM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*j, i - 16 = -0*i + 2*j. Let s be 12\/i - (-10)\/4. Let n(b) = 12*b - 3. Let g be n(s). What is the greatest common factor of 30 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -540*g - 373*g + 32*g - 285*g.\nAnswer: -1166*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101, -197, -301, -413, -533?\nAnswer: -661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 9:40 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2873661, -2873660, -2873657, -2873652, -2873645?\nAnswer: -2873636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19\/144 - 1135\/1584. Let w = g + 2\/11. Let x = -0.3 + 0. Sort x, w, 1.\nAnswer: w, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4247490 and 13260?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 4*f**2 - 8*f - 14. Let o be z(-5). What is the common denominator of 47\/16 and ((-5)\/(-34))\/(-5)*o\/6?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 10:52 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 21502 greater than 21504?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -75 or 1935.4?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*n**3 - 41*n**3 + 140*n**3.\nAnswer: -29*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-17)*(d**2\/d)\/d*d*d*(d*d**(4\/5))\/d*d*d**(-2\/17))**(3\/16) assuming d is positive.\nAnswer: d**(-849\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/39 and -23\/11158678.\nAnswer: 435188442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5158395 and 220660?\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53*x + 99*x + 78*x)*(-2*x + 2*x + 2*x) + (0*x + 0*x - x)*(-3*x + 0*x + 2*x)*(-3 + 4 - 3).\nAnswer: 246*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 12*m - 8 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 - 46*d + 300. Give a(14).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2 + 3 + 8*d + 2*d + 2 + 14*d**2. Let f be p(-4). Suppose -3*h + f = 10. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -2*u**5\/5 + 10*u**4 + 356*u**3\/3 + 292*u**2 + 270*u - 1746. Factor v(m).\nAnswer: -2*(m - 27)*(m + 1)**2*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103124690 is divided by 436969.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b + 11. Let c = 27 + -19. Let f be w(c). Let y(s) = 3 + s - f. Give y(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 455 and -0.3?\nAnswer: -136.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o + 7. Let n be v(-5). Let t = n - -9. What is the remainder when t is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (18\/(-4))\/(37\/74). Let i(c) = -c**3 - 5*c**2 + 8*c + 1. What is the hundreds digit of i(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*x, -5*x = 2*z - 0*z + 3. Suppose -z*b = b - 217. Calculate the remainder when b is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 6*i - 3. Let o be w(3). Suppose -6 = -7*u + o. Let z = 0 + 2. Solve 0 = 5*q - 3*k - 12, q + z*k + 8 = -u*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 + 0*j + 0 - 2*j)*(2 + 4 - 4) - 3 + 3 - 3*j)*(-3492*j + 70 + 1745*j + 1749*j) as i*j + a*j**2 + m and give m.\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 11*b + 4. Let k be a(12). Let n = 31\/4 + k. What is the nearest to n in -3, 4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37028?\nAnswer: 2, 9257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2553?\nAnswer: 3, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -550, -1104, -1658, -2212, -2766?\nAnswer: -3320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 107666388 and 121410.\nAnswer: 538331940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 17372.7661 and -32727.\nAnswer: -15354.2339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1144788164?\nAnswer: 2, 13, 22015157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 7. Let s = 1 - -1. Solve -1\/4*n**s + 1\/4 + c*n = 0 for n.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 241, -21, 3, -4 in ascending order.\nAnswer: -21, -4, 3, 241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 231 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16765*a*l**2 + a*l + 18365060*a + 1726*l**2 - 2*l wrt l.\nAnswer: -33530*a + 3452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -i + 6. What is the units digit of (-2)\/i + (-44)\/(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1894030 and 259.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*q = 51*q + 800 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -361391 (base 10) to base 15.\nAnswer: -7212b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 102 = -5*m, -2*m - g + 36 = g. Suppose -4*a + m = r, -3*r + 0*a + 4*a - 17 = 0. Let w = r - -4. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, l: 1, m: 1, e: 1, s: 2}. What is prob of sequence ezme?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 - -21. Let d be -20 + (-2)\/4*c. Let m = d - -37. What is the remainder when m is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -859 + 816. Let j = 39.61 + -0.61. Let l = j + q. Which is the closest to -0.1? (a) 2 (b) l (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 258266 and 17358.\nAnswer: 8522778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 161766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*(((y\/(y\/y**(-25)))\/y)\/y)\/y*y**0 assuming y is positive.\nAnswer: y**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-5913)\/(-135) + (15 - 7) - (-6)\/5) + -5\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 352790?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2743512?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-8 - 1 - (-129 - -79))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.17282 from 0.17.\nAnswer: -0.00282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (5 - 6 - (12 + -6) - 3).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (65\/(-26))\/(20\/6)*1\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((24\/42)\/2)\/(2\/(-14))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2277 + 2281. Let g(u) = u**2 - 10*u + 1. Determine g(h).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.18, 0.3, -3\/2?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -6*s - 2. Let i be p(1). Let h(n) = -n**2 - 12*n - 16. Let c be h(i). Find the second derivative of 2*f**4 + c*f**5 - 2*f - 2*f**4 wrt f.\nAnswer: 320*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32251.\nAnswer: 32251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 67, 0.02, -0.5, 0, 2\/11, 629 in increasing order.\nAnswer: -0.5, 0, 0.02, 2\/11, 67, 629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(2\/7)\/v))\/v)**(-9\/5)*v\/(v\/(v*v**8*v))*v*v*(v\/(v*(v\/(v**(-6)\/v))\/v*v))\/v*v*v*v*v assuming v is positive.\nAnswer: v**(40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/3)\/((-1)\/52). Let c = -70 - t. Let j = -25\/69 + 2\/69. What is the smallest value in c, 0.2, j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/28240 and -53\/240040?\nAnswer: 480080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 20, -5*y - 3*g + 52 - 2 = 0. Let q(r) = -3*r - 2. Let w be q(-10). What is the greatest common factor of w and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 1. Let a(m) be the second derivative of -m**6\/720 + m**5\/60 - m**4\/6 - 4*m. Let h(j) be the third derivative of a(j). Give -2*f(n) - h(n).\nAnswer: 2*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1420*p**2 + 781*p**3 - 4535*p**3 - 1420*p**2.\nAnswer: -3754*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5981085996 to the power of 1\/6, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10201120210122010 - -11?\nAnswer: 10201120210122021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-50)\/(-4)*(5 - (-105)\/(-25)). What is the second derivative of 1 - 1 + 6*j + b*j**2 - 29*j**2 wrt j?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 4*c**2 + 2*c + 19. Let j be h(5). Let f = 6 + j. Differentiate -4*w + 2*w**3 + f + 4*w - 7 with respect to w.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3000704 is divided by 3000579?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (0 + -8)\/(16\/(-40)) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46693 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 54\/(-8) + (-1)\/4. Let h(y) = -y**3 - 11*y**2 - 8*y + 10. Let w be h(c). Is w\/(-18) + (-2)\/9 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oooo when four letters picked without replacement from ooooooooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 0. Let n be 3 + r\/(-1) + 8. Solve 5*m + n = m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, x: 3, r: 4}. What is prob of picking 2 r?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2908c6 (base 16) to base 2\nAnswer: 1010010000100011000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 216111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -80 + -122552?\nAnswer: -122642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 49 and 28.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 126*k - 12850. Determine n(102).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201 - 1111200?\nAnswer: -1112101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 118? (a) 0.1692 (b) 495 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/2 (b) 0.5 (c) -3 (d) -0.2 (e) 4315 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6732 and 136.\nAnswer: 13464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 k, and 1 g when three letters picked without replacement from gfgkgggggfgykggg?\nAnswer: 11\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 3*w + 18, -2*w = 5*l - 11 - 13. Suppose 6 + l = 5*g. Suppose 0*d = g*d - 68. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**(-1)*p)**(20\/9)\/(p**(-1\/12)\/p**(-8\/9)) assuming p is positive.\nAnswer: p**(97\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 1 + 6)*(-3 + 1 - 1)*(-3*d + 3*d + 3*d)*(40 - 34 + 30) as n*d + v and give n.\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/12 (b) 0.12 (c) 55 (d) 35 (e) -0.2 (f) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than or equal to 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of o**3\/6 + o. Let m be p(4). Let g = -0.2 + -0.1. Which is the second smallest value? (a) m (b) g (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -9*i + 7*i - 5*i + 8 - 7. Let p(x) = -7*x + 1. Determine 4*f(u) - 5*p(u).\nAnswer: 7*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q**3 + 20*q**2 - 9*q + 10. Let x(d) = -8*d**3 - 50*d**2 + 22*d - 24. Calculate 12*r(z) + 5*x(z).\nAnswer: -4*z**3 - 10*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**2 + m + 68. Let l be r(0). Let v = l - 63. Suppose 3*a - v = -2*a. Put a, 0.5, 6 in decreasing order.\nAnswer: 6, a, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 252 and 334791072.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 667440 plus 85.595?\nAnswer: 667525.595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 51 + (-58 - -52) - 27\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1022330258?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -10 + (26 - (34 + -20)) + 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of 15*h**4\/8 - 35*h**3\/6 - 840*h**2. Let p(s) = -5*s + 4. What is 35*p(d) + 4*w(d)?\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 158313942?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 332 is divided by 86.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 47956568 a multiple of 1192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) - sqrt(80) - sqrt(20))*-6 + sqrt(20) + 2*sqrt(980))\/(sqrt(70)\/(sqrt(112)*-6)).\nAnswer: -648*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/419320 and 169\/628980.\nAnswer: 1257960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001579462108 to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 248357299611464 + 0.4.\nAnswer: 248357299611464.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 10011246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -z**7\/2520 + z**6\/240 + 3*z**4\/2 - z**2\/2 + 24*z. Let y(k) be the third derivative of x(k). Let t = 4 + -7. What is y(t)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 + 8*m + 46 + 6*m.\nAnswer: 14*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 11:46 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14528\/10 - 2\/(-10). Suppose 8708 = 5*z - 4*t, -293 = -z + 3*t + l. Round z to the nearest 100.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49 by 3.\nAnswer: -49\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 30 - 178 = 2*t, 0 = -2*t. Let o = 0 - -13. Calculate the remainder when x is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.149 - -7.849. Let l = n - 8. Let r be (-18)\/(-56) - 6\/(-24). Which is the third smallest value? (a) l (b) r (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a minute in milliseconds?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -54708*0.4\nAnswer: -21883.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-5 - ((-4 - 9) + 4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48921?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -50*h**4 - 90374 + 362*h**4 + 89769 with respect to h.\nAnswer: 1248*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.51 - -2.21. Let i = 1.25 - d. Round i to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2271654, -2271656, -2271658, -2271660, -2271662?\nAnswer: -2271664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -13684160 divided by -1954880\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/5 + (-112)\/(-20). Let u be (-7 + h)\/((-1)\/20). Suppose 3*s - 2*f - 114 = f, s + f - u = 0. Calculate the remainder when s is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2330969231 to the nearest integer?\nAnswer: 1326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 37 divided by 2628\nAnswer: 37\/2628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 4*c = 98, -4*s + 3*c + 219 = s. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*r**3 - 127*r**3 + 381*r**3 - 125*r**3.\nAnswer: 16*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -13\/10 (b) 2 (c) -0.9 (d) 3\/11 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a tonne in kilograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 749*x + 363*x - 8015 = -33*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 8*t**2 + 3*t - 4. Let q be z(-7). Suppose 6 = -2*b + q. Suppose v = x + 25, v - 4*x - 4 = b. What is the remainder when v is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -14357*o**2. Let y(a) = 3*a. Determine y(m(b)).\nAnswer: -43071*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 65764798?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 20*c = -55, 2*c + 12 - 13 = 5*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 1. Let c = -2 + 1. Let d = c - -0.9. Which is greater: d or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34.1 + -34. Let f be (-4)\/(-6)*(-3)\/7. What is the closest to w in -0.2, 2\/19, f?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w + 33*w**2 + 41*w**2 - 97*w**2 to the form m + t*w + l*w**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f**(-1\/4)\/f)\/f*f*f)**(1\/3))**46 assuming f is positive.\nAnswer: f**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 244.463ml?\nAnswer: 0.244463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = f + 26. Let i = 30 + f. Suppose i*q - 324 = -4*h, h + 4*h = -3*q + 247. Is q a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -14*s + 2. What is h(-3)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wccc when four letters picked without replacement from {w: 8, c: 3}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 211910*q - 211872*q - 874 for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*v - 51*v + 7*v + (-9 + 0 - 1)*(2 - 1 - 3)*(-6 - 3*v + 6) to k + c*v and give c.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 89 - 89. Suppose -24124459 = -w - 5*p, b*w + w - 4*p = 24124477. Suppose -w = -6*f + 44875531. Round f to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-80)\/8)\/5 - -5. Suppose p - 12 = -5*p. Solve -v - 12 = -3*a + p*v, m*a = 4*v + 17 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -94.43 + 0.43. Let x = 140.42 - -0.58. Let d = x + b. Is d <= 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1124 - 541 - 2726 + p**3 in the form b*p + y + t*p**3 + s*p**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/24 and 71\/53884.\nAnswer: 323304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-1292)\/425 + (-5152)\/575?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00029882435 to six dps.\nAnswer: -0.000299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 4:52 AM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -165, 3, 0, 4 in ascending order.\nAnswer: -165, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 15\/5 - 111\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -90*p**3 + 12*p**2 + 19*p - 32. What are the prime factors of l(-6)?\nAnswer: 2, 7, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2634*w**2 - 3*w + 615*w**2 - 3247*w**2 + 3*w in the form m*w**2 + c + x*w and give m.\nAnswer: -5266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 - 19. Sort 0.3, -3, p, 0.\nAnswer: -3, 0, 0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 319 = z, -5*r - 8*z + 560 = -4*z. Let i = 3 - -3. Suppose i*l - l - 135 = 0. Calculate the greatest common factor of l and r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 111089\/24 - 4632. Find the common denominator of l and -19\/56.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 12:47 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -27. Suppose -4*c = 11 - 27. Let y(p) = k + 1 - p + c. Calculate y(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/17 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001734878442 rounded to six dps?\nAnswer: 0.000173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2968 + 2963. Which is the second smallest value? (a) -7 (b) 3\/109 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f - 4*f + 241*f**4 + (2 + 1 - 1)*(f**3 + f**4 - f**3 + (2 - 2 + 2*f**3)*(-f - 3*f + 5*f)).\nAnswer: 247*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k**3 + 2 - 2)*(-k + 69 - 69) + (-4*k**3 + 3*k**3 + 2*k**3)*(7*k + k - k) in the form d*k + n + i*k**3 + l*k**2 + r*k**4 and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.625432 - -0.132?\nAnswer: -8.493432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of 23*g**6\/3 - 12*g**4 - g**3\/3 - 161*g**2\/2 - 2*g - 8725. What is the third derivative of b(w) wrt w?\nAnswer: 2760*w**2 - 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15168 and 1580.\nAnswer: 75840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -0.18 (c) -1\/9 (d) -1 (e) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of 47*v**8\/112 + v**6\/60 + v**4\/8 + 7*v**3\/2 + 268*v**2. What is the second derivative of a(r) wrt r?\nAnswer: 2820*r**3 + 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -98 - (-143 - 22 - -86).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 84 = -2*p, p + 9*v = 6*v + 57. What is the common denominator of p\/224*(-34)\/11 and -50\/121?\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*-2*(-5)\/45?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -17*v + 12. Suppose -20 = -5*t, 4*a - 2*a - 3*t + 22 = 0. Is n(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 353\/(-27) + 3484\/268.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 944, 947, 952, 959?\nAnswer: 968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 7*o - 588. Determine r(-19).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 0 = 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 31, 95, 215, 409, 695, 1091, 1615?\nAnswer: 2285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -119*l**2*u**2 - 4*l**2 - 62*l*u + 141130*u**2 wrt l.\nAnswer: -238*l*u**2 - 8*l - 62*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.003 * 0.029989.\nAnswer: 0.000089967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 13, -0.14, -4, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/2 + (-2)\/4. Suppose f = -a - u + 4, -1 = 4*a - u - 12. Suppose 2*g = a*l - l - 38, -3*l - 5*g + 41 = 0. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h + 14. Give f(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 5*z - 235, 0*z - 4*z - 2*x = -184. Suppose -z = 24*k - 27*k. What is the highest common factor of 375 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 291 (base 10) to base 16.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1368 + -1369. Put -4, -64, j in increasing order.\nAnswer: -64, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -97 - -102. Solve 2*d - g*u = -35, -4*d + 4*u - 11 = 29 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 30 + 38. Suppose -m + 4*v = -5*m + 392, -2*m = -5*v - 224. Let b = m + s. Is 10 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 83 - (-54 + 141) - (-5 + 7 - -2 - 156).\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/2 + 2)*-18. Let h be (-33)\/o + 4\/10. Let t = 7 + -6.7. Which is the closest to h? (a) 5 (b) t (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -47181, -94413, -141647, -188883, -236121, -283361?\n\"Answer: -d**2 - 47229*d + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1671\/(-6)*4\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5782596 is divided by 61516.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -61*f - 34. Let n be 5\/(-5) + (-9)\/3. Let o(r) = r. Let x(m) = n*o(m) + q(m). Differentiate x(y) wrt y.\nAnswer: -65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14486 (base 15) to base 16\nAnswer: fe7f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(228) - sqrt(228)*2 - sqrt(228)) + sqrt(228))\/sqrt(4))\/((sqrt(144)\/sqrt(4)*-6)\/sqrt(12)).\nAnswer: sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 5*z - 4*z**2 + 4 + 3 + 2*z**3 - 6*z + 0*z**3. Let i be a(2). Let t(j) = -1 - j - 4*j**2 + 6*j**2 - i*j - 3*j**2. Calculate t(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-59090)\/15)\/(-19)*93 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4823, -18681, -41567, -73475, -114399, -164333, -223271, -291207?\n\"Answer: a**3 - 4520*a**2 - 305*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*h**3 - 46*h**2 - 64*h**3 + 3*h**3 + 21*h**3 - 2 in the form z*h + p + r*h**2 + m*h**3 and give m.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, -0.3, -0.5, 1\/8, -29, 3 in increasing order.\nAnswer: -39, -29, -0.5, -0.3, 1\/8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, n: 1, m: 1}. What is prob of picking 1 n and 1 m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12257 to the power of 1\/2, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 39599.88 months?\nAnswer: 3.29999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5672 and 4294413?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -23*m + 1. Let b(k) = 47*k - 2. Let l be (0 - -1) + (-59)\/177*(8 + 1). Determine l*b(r) - 5*v(r).\nAnswer: 21*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2542, -1473, -402, 671, 1746, 2823, 3902?\nAnswer: 4983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 194809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 924376*k**2 - 36. Let h(w) = 2*w. Calculate j(h(t)).\nAnswer: 3697504*t**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 127564559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/209)\/(1336\/12692).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (339 + -347 - (-1 - -7)) + 17.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, r: 3, b: 4, e: 2, q: 2}. Give prob of sequence wre.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 5*g**2 + 15*g + 10. Let n be l(-7). Suppose 2*b + b - n*r - 750 = 0, 5*b - 1215 = -2*r. Does 18 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 987869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.965 + 7. Let u = -3.015 + v. Let r = 0.02 - u. Sort -1\/3, r, 0.3 in decreasing order.\nAnswer: r, 0.3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/811 (b) -1.3 (c) -8 (d) 4.5 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22424, -44855, -67278, -89687, -112076, -134439, -156770?\nAnswer: -179063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266*b = 6*a + 267*b + 59, 5*a = -6*b - 75 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*i - 16 - 24. Let m(r) = 8*r**2 - 15*r**i + 11*r + 3*r - 3*r + 11 + 8*r**2. Give m(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*x + 61*x + 38 = 0. Which is smaller: -6 or x?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.1, 2, 1 in descending order.\nAnswer: 2, 1, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.06 - -0.34. Let h = 0.1 - l. Let n = -0.04 + -0.36. Which is the second smallest value? (a) n (b) h (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 5*z - 3519 = -2*w, -4*w + 2*z + 7050 = 0. Suppose 3*h - 8*b = -6*b + 4, h = 2*b + 4. Suppose -2*k - 660 + w = h. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16237\/1530 - 467\/51. What is the common denominator of -37\/330 and k?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**3 - 6*t**2 - 18*t - 19. Let a be u(-7). Let m = -345 + a. List the prime factors of m.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*j - 143 - 427 = 152*j for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 7*u**5 - 10*u**3 + 7*u. Let r(c) be the second derivative of -5*c**7\/14 + c**5 - 5*c**3\/2 - 13*c + 2. Let x(m) = 5*d(m) + 2*r(m). Factor x(v).\nAnswer: 5*v*(v - 1)**2*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1842157 and 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 550853*k**2 + 496509 wrt k?\nAnswer: 1101706*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (14 - 7 - 20 - (11 - (5 - -4)))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k = -k + 180. Let i be k\/2 + (-5)\/((-55)\/363). Solve 4*w = c + c - i, 0 = 2*w - 5*c + 30 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115335 is divided by 114406?\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nzpe when four letters picked without replacement from epznjnx.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -43 - (-2 - -5 - (-15 + (7 - -9)))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(28)*-3*3)\/(sqrt(4) + 5*sqrt(4)*4)*2.\nAnswer: -18*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -8. Which is the closest to u? (a) 2 (b) -3 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20861731 by 20861731.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + d. Suppose 3 = -3*v - 3. Let h(c) = -c**2 + c. Let w(n) = v*q(n) - h(n). Let w(s) = 0. Calculate s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61269, -245103, -551485, -980415, -1531893, -2205919, -3002493?\nAnswer: -3921615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/1 + (-1134)\/(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 85 + -82. Let z(d) = d - 3. Suppose -4*p - 4*a + 20 = 0, -4*p = 2*a - 4*a - 20. Calculate the remainder when h is divided by z(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*h + 933 - 1043 = 0. Suppose -m - 2 - 1 = 0, -2*m - 54 = 4*s. Let q be (-1)\/4 - 27\/s. Solve h*w - 9 = q*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186805.\nAnswer: 5, 37361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.894181 centimeters to micrometers.\nAnswer: 48941.81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -3\/8, -9, 1?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 10*v. Let b = 1 - -1. Suppose -2*y = b*y - 28. Let q(m) = 3*m**2 + y*m + 7*m - 14*m. What is l(q(p))?\nAnswer: 30*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 3*t**2)*(-t**2 + t**2 - 4*t**2) + (4 - 2*t**2 - 4)*(-2*t**2 + 0*t**2 + t**2).\nAnswer: 14*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9520 = 426115*k - 426251*k for k.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*g**3 - g**2 + 6*g**4 - 10*g**4 - 2 - 5*g**3 + 2*g to the form p*g**3 + z + l*g**2 + m*g + s*g**4 and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 5*j + 64 = 0, 1455 = 5*a + j + 1396. Let m(w) = 1. Let i(y) = y - 5. Let h(d) = i(d) + 3*m(d). Calculate the remainder when a is divided by h(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2544, -9468, -20976, -37068?\n\"Answer: -2292*d**2 - 48*d - 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 64 (b) -7 (c) -3\/4 (d) 1\/2 (e) 16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -3. Let c(m) = -o*m + 2*m + 0*m - 3. Suppose 0*j - j = h - 1, j = 5*h - 23. Determine c(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6)\/((-5)\/(-30)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**2 - 166*i - 318. Let v be w(-81). Let c(p) = -2*p**2 + 12*p - 18. What is c(v)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1106, 1235, 1366, 1499, 1634, 1771, 1910?\nAnswer: 2051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44*j + 184 - 184)*(-13*j**3 - 5*j**3 + 6*j**3) + j**4 + 0*j**4 + 2*j**4.\nAnswer: 531*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2037688 to the power of 1\/3, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1228*x = 1232*x - 52. Solve 4*o + 45 = x*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 14. Let c = 10 - x. Suppose -c*h + 2063854 = -1616146. What is h rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -4 + (sqrt(176) + 0 - sqrt(176)) - (-4 + sqrt(176)*2 + -4))*-1.\nAnswer: -4 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19965478259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -31102222120212?\nAnswer: -31102222120211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 7*u**2. Let d(p) = -4*p - 10. Calculate g(d(x)).\nAnswer: 112*x**2 + 560*x + 700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 49 - 57 = l, 0 = 2*t + 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 12 + -5 + -1 - -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 c when two letters picked without replacement from {c: 4, h: 16}.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-40)\/(-6) + (-4)\/6. Let g be (32\/20)\/4*15. Suppose -g = -8*p + f*p. Does 3 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005542754193 rounded to seven dps?\nAnswer: 0.0000554","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**2 - 19922*d + 338103. Calculate i(17).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 12 = 5*q - 17, -4*l = q + 11 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.65 times 4.972?\nAnswer: 8.2038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.053862 years?\nAnswer: 0.0053862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 3\/5*k**4 + 0*k - 4\/5*k**3 - 3\/25*k**5 - 1 + 0*k**2. Factor i(y).\nAnswer: -3*y**2*(y - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05938701 to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/(-12))\/(35\/420))\/(7\/((-294)\/9))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 5:30 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**2\/6 + 993303*k\/2 - 1489955\/3 = 0.\nAnswer: -2979910, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3*2 - (2 - 1)\/(5\/(-32875)).\nAnswer: 6569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/5))**26*f**(2\/3)\/f*f**(1\/13) assuming f is positive.\nAnswer: f**(-2078\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-210)\/15)*1*(-12)\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7869780 divided by 5\nAnswer: 1573956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 8, s: 5, q: 1, e: 5, f: 1}. Give prob of sequence ufee.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 5285392100 to the nearest one million.\nAnswer: 5285000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/((-18414)\/27)*62?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - 6)\/((-4)\/(-2)). Suppose 10 = -2*v, 3*d + 5*v = d + 77. Is 17 a factor of (d\/(-6))\/(g\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 997*o - 648*o = -2823*o - 63440 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5430 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 24?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -20*3\/(-3)*(-5)\/(-10). Solve 3*l - 9 = -4*j, -3*j - 2*l + z = j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 357759\/40 - 8943. Let h = -33\/43 - -1742\/645. Calculate the common denominator of z and h.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -3*b + 5, -3*b - n - 3 = -4. Suppose b = -3*z - 0*z. Solve 0 = -5*y - 5*w + 20, 0 = -z*y + 5*y + 2*w - 8 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -9, -4*v = 2*b - 4*b - 1 - 1 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.890449 millilitres to litres.\nAnswer: 0.003890449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 105527 (b) -2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24*l**6 - 6*l**4 + 14091*l**3 + 3*l**2 - 58602876*l + 2.\nAnswer: -2880*l**3 - 144*l + 84546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 11:37 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 599, 1196, 1793?\nAnswer: 2390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 73258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 150912 and 192?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, 0.0257, 93, -4 in descending order.\nAnswer: 93, 0.0257, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 195 and 780.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.0476 (b) 3\/5 (c) -82.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 9*c**2 + 17*c + 18. Let q(x) = -x**2 - x - 2. Let t(d) = 2*j(d) + 22*q(d). Factor t(h).\nAnswer: -4*(h - 2)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 6*o - o - 10, -2*c - 10 = 0. Suppose 0 = 5*l + 4*i - 50, -2*l - i + 14 + 9 = o. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 1494 = -o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 9424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/26984529 and 38\/310167.\nAnswer: 26984529","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 968*j**3 - 473*j**3 - 459*j**3.\nAnswer: 36*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1996085 and 93275?\nAnswer: 9980425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/4*k**2 + 1\/4 + 3\/4*k + 1\/4*k**3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, -0.4, 14?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - -17. Suppose w = a + t - 4, a + 2 = 3*a + 4*t. Let c(z) = a*z + 2*z + 3*z - 10*z. Let h(v) = -16*v. Give h(c(g)).\nAnswer: -32*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 9:43 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 29*f - 26*f + 61*f + (-4 + 4 + 2*f)*(-3 + 3 + 10))*(0*f**2 - 2*f**2 + f**2).\nAnswer: -26*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3006*s**2 - 1496*s**2 - 1491*s**2.\nAnswer: 19*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*b + 3 + 60 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -64 times -1.17\nAnswer: 74.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 37279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/15)\/(20\/25 + -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = 32*j - 27*j. Calculate the greatest common factor of 184 and j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -11000001?\nAnswer: 11000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2955, -3024, -3077, -3108, -3111, -3080, -3009?\n\"Answer: y**3 + 2*y**2 - 82*y - 2876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of z**6\/120 + z**5\/20 + z**4\/24 + 5*z**3\/6 + 2*z**2. Determine h(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/(q**(1\/5)\/q*q*q))\/(q*q**(-4\/3)))**7)**(1\/46))**(-35) assuming q is positive.\nAnswer: q**(-49\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 48?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**2 - 2*x**2 + 2*x**2 + (-2*x - 3 + 3)*(-2*x - 2 + 2) - x + x + 2*x**2 + (-x + 0*x + 3*x)*(128 - 99 - 72)*(6 - 4 + 1)*(3*x + 0*x - x).\nAnswer: -512*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {q: 5, e: 4, u: 2}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 167 + -87. Let o = -32 - -28. Let w be 0 + (-4 - o) - -10. What is the highest common divisor of w and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2*(5 + 1*sqrt(2736))**2.\nAnswer: -5525 - 240*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 222978230 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -76 + 94 - (6 + 0)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t**2 + 0*t**2 - 2*t**2 - t - 6300000. Let p be i(0). Round p to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20237402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 23785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1655\/27 + -52645\/864. Let h = -1\/32 + z. Find m such that 2\/3*m**2 - h*m + 0 - 1\/3*m**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/2569 and 15\/7.\nAnswer: 2569","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 545528.9t in milligrams?\nAnswer: 545528900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 + 12*t**2 - 109*t - 720.\nAnswer: (t - 9)*(t + 5)*(t + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73, -151, -219, -271, -301, -303, -271?\nAnswer: -199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 20.2 * 222.3\nAnswer: 4490.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (21\/9)\/7*(-12)\/(-2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-132)*216\/84.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 849*t**4 + 1097*t**2 - 9*t - 3. Let n(w) = 2*w**4 + w**2 - 3*w - 1. Let z(l) = 3*n(l) - o(l). What is the third derivative of z(c) wrt c?\nAnswer: -20232*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3320.76616 + -3321. Round n to three dps.\nAnswer: -0.234","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-10)*40\/64)\/(693\/176)?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 49 = 10*x + 110, 0 = 4*x - 4*r + 1 - 13 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 0 + 6. Find the third derivative of 8*h**v + 22 - 22 - 2*h**2 wrt h.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -69 (b) -8\/7 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 116 and -0.4?\nAnswer: -46.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -4*x. Let y(n) = n + 32. Let v be y(-8). Let a(h) = 47*h - v*h - 32*h. What is o(a(l))?\nAnswer: 36*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 81 + -245\/3. Suppose 0 = 4*p - 4*l - 28, -4*l = -l + 15. Let u be (-1)\/(-1)*3*p\/3. What is the second smallest value in u, 1, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -6 (b) 0 (c) -0.1 (d) 5 (e) 9\/140 (f) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000058 to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3176123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (60*x + 88 - 88)*(0 + 2 + 0) to d*x + h and give d.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 10:28 PM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/1)\/((-2)\/(-8)). Let n = 8 - z. Suppose -4*m - 3*x + 50 = -107, n*x + 44 = m. What is the highest common divisor of 10 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 550 + -549.7555. Let k = h + -0.23. Round k to 3 decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*s - 1 = 8, q = -4*s - 3. Let x be -2*(-2)\/(-4) - q - 5. Put -1, 4, x in increasing order.\nAnswer: x, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 21 = -y, 5*y = 3*v + 4*y + 14 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -32, -58, -86, -116, -148, -182?\n\"Answer: -v**2 - 23*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 46 = -4*f, 0*f - 4*f + 26 = 3*v. Suppose 0 = -3*n + 13 - v. Is n greater than or equal to 2\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 515 greater than or equal to 71466\/139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1379*d**2 + 0*d - 336*d**2 + 12*d**3 + 647*d**2 + 0*d.\nAnswer: 12*d**3 + 1690*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, o: 2, h: 1, j: 9, e: 5}. Give prob of sequence oeqj.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mffn when four letters picked without replacement from ffggngggmmnfgggfn?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 108 (b) -1 (c) -4 (d) 2\/7195 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000153858487 rounded to six decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9093, 18197, 27335, 36525, 45785, 55133, 64587?\nAnswer: 74165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41 + 38. Let u(f) be the second derivative of f**5\/20 + f**4\/12 - 2*f**3\/3 + 4*f. Calculate u(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 9. Let o(j) = -j**2 - 8*j - 2. Let d be o(z). Suppose c + d = 153. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 75 + -27. Calculate the remainder when 236 is divided by f.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(147) + sqrt(147) + 1 + 3)*-2 - ((sqrt(147) - sqrt(147)*5)*-2 + 0 + sqrt(147) + 5))**2.\nAnswer: 2730*sqrt(3) + 25068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 7 - 2*g + 4)*(-6*g + g - g).\nAnswer: 12*g**2 - 30*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30267652 and 2412.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t**4 + 60*t**3 - 65*t**2 = 0 for t.\nAnswer: -13, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 128283, 128279, 128275?\n\"Answer: -4*c + 128287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 454 (c) -1\/9 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 14*s**2 - 24*s + 6. Let p be y(-12). Put p, -2, -1, 5 in decreasing order.\nAnswer: p, 5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of z**4\/3 - z**3 - z**2. Let f(r) = -5*r + 4. Determine -7*f(o) - 5*v(o).\nAnswer: -5*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -770.4008393 rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gb when two letters picked without replacement from bbbbbbggbb?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -3)\/((-4)\/(-10)). Let s = -24 - -49. Suppose t*y - s = -0*y. Does y = 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 21*y - 43*y + 2*y**2 + 21*y. Give z(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266*o - 1422 - 170 = 536 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 6. Let p = 16 + 59. Let y = p + -75.3. What is the closest to -1\/3 in j, 2\/5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9, 0.14, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 2*k + 9. Suppose f - 16 = 4*c - 0*f, -18 = 2*c - 3*f. Give p(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 956 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -142412 + 13?\nAnswer: -142344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9196 - -73469\/8. Find the common denominator of z and -12\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-5))\/(5116960\/31200 - 164).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -56 + 58. Suppose 8 = 2*l - 2*v, -2*v + 16 = 5*l - 5*v. Solve 3*d = -4*n + 4, -p*d - l*d - 3*n = -3 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5 (b) -3 (c) 4 (d) -0.03 (e) -252931\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 10*u**2 + 11*u - 6. What is c(-11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 f when two letters picked without replacement from {f: 2, j: 7, e: 1, v: 6, a: 3}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/(75\/(-10))*7\/((-49)\/(-14)). Sort p, -1850, 2 in ascending order.\nAnswer: -1850, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118021090 to the power of 1\/4, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.75 + -0.25. Which is the second smallest value? (a) i (b) -0.3 (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4465900.\nAnswer: 2, 5, 17, 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -l**5 - 180*l**4 - 1203*l**3 + 1384*l**2 = 0.\nAnswer: -173, -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 10*j**2 + j + 12. Let r be c(-10). Let d(f) = 2*f - 4. Let l be -6 + 10 - (-2 + 0)\/(-2). Let m(b) = -2*b + 5. What is l*d(a) + r*m(a)?\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -2, -m - 3*v - 7 = -0*v for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**2 + 20*g - 35. Give o(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*r = 3*r - 207. Solve 23*q = r*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -272 - -277. Suppose 0 = -2*d + r*y + 26, y = -d + 4*y + 12. Solve 17*b - d*b = 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-299)\/130)\/((7\/7)\/(-10)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 25911, 26283, 26655, 27027, 27399?\n\"Answer: 372*j + 25539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 214274457 divided by -3.\nAnswer: -71424819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 5:41 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 0.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/18 and -26\/801.\nAnswer: 1602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -10*r**2 - 656*r - 987. Let y be g(-64). Solve -3*a = 7*b - 16, 4*a - y*b + 38*b - 13 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.007 + 7.61308992.\nAnswer: 7.62008992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**4 - 4*d**3 - 14*d**2 - 4*d + 3.\nAnswer: (d - 3)*(d + 1)**2*(3*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (((-24)\/10)\/3)\/(2\/10). Let h(d) = d**3 + 6*d**2 + d - 2. Let c be h(z). Let n = -11 + c. Solve n - 3 = 4*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4852 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or 0.406?\nAnswer: 0.406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3 - 9 - c + 1 + 3*c. Let h(z) = -2*z**2 - 10*z + 4. Let q be h(-4). Let j be f(q). Calculate the highest common divisor of j and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**4\/15 - 34*i**3\/15 + 54*i**2\/5 - 46*i\/3 + 20\/3 = 0.\nAnswer: 1, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -10.94, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4 = -8. Factor q**3 + 3*q**t - 3*q**3 - q**4.\nAnswer: 2*q**3*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*p + 3 = 0, 0 = g - 5*p + 15. Let q(s) = s**2 + 1. Let v be q(g). Suppose 5*t = -35 + 15. Put v, t, 0 in increasing order.\nAnswer: t, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2292 and 972?\nAnswer: 185652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -5*n**2. Let d(m) = 3*m + 80. Determine d(a(j)).\nAnswer: -15*j**2 + 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f - 1. Let j(r) = -168*r**2 + 115*r + 7. Let g(a) = 6*d(a) + j(a). What is the second derivative of g(b) wrt b?\nAnswer: -336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151503599543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 52 = l + 8, -y = 5*l - 30. Calculate the smallest common multiple of y and 46.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.01 and -172362?\nAnswer: -1723.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -132a?\nAnswer: -1333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 0.1 (b) 4\/5 (c) -7 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3 = 2*q, -q - 4 + 3 = 0. Let x be (208\/y)\/(-1) + 0. What is the tens digit of (6\/4)\/((-12)\/x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1563*d**5 - 1700751*d**2 + 1700753*d**2 + 1 - 26*d + 2 - 3 wrt d.\nAnswer: 93780*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-27)\/(-6) + 3\/6. Let f(p) = -p**3 + 6*p**2 - 4*p + 3. What is the units digit of f(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2. Let z(t) be the first derivative of -t**3\/3 + 7*t - 5. Let g(f) be the first derivative of z(f). Give g(x) + s(x).\nAnswer: -x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -89 - (-35 + (-15 + 11 - -23))?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -9\/3643 (b) 1\/4 (c) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 + 58. Let r be (96\/(-10))\/((-3)\/15). Suppose -4*i - 20 + r = 0. Calculate the remainder when o is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 3 - 3 + (-4 + 5 + 1)*(2*w + 0*w - 4*w) - w + 2*w - 2 - 7*w)*(2 - 1 - 3).\nAnswer: 22*w + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 8 = -2*s, -5*s = f + 1 - 21. Does 35 divide -1 - 106\/(-5 + s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 392 divided by 4\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (242\/1089)\/((-198)\/(-1134))?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*b + 26. Let d(u) = 3*u**3 + u - 1. What is the remainder when b is divided by d(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*c**6 + 8*c**4*o + 2*c**2 - 2*o wrt c.\nAnswer: -1680*c**3 + 192*c*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -50 - -50. Let s be (-6999)\/(-9) - 4\/6. Suppose 0*r - 7*r + s = f. What are the prime factors of r?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -187644\/7 + 26806. Which is the closest to 3\/485? (a) -2 (b) 3 (c) t (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -0.049\nAnswer: 1.049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 0 + 0 + (2 - 3 + 0)*(-3*p - 3*p + 7*p))*(-964 + 701 - 958).\nAnswer: -1221*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 814869 divided by 8?\nAnswer: 814869\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4259*s - 2130*s = 2125*s + 3*o - 54, -6*s = -s + 3*o - 81 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 87946 * -1.134.\nAnswer: -99730.764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.04 - 0.56. Let i = z + 1. Which is the nearest to 0? (a) i (b) 4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -876*y + 112*y**3 - 72*y**3 + 38704*y**2 - 38704*y**2 - 908*y**3 wrt y?\nAnswer: -5208*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6822*z**2 - 1097*z**2 - 4445*z**2 - 7627*z**2 + (-2*z**2 + 0*z**2 + 0*z**2)*(3 - 3 + 1) to the form b*z**2 + g*z + d and give b.\nAnswer: -19993","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 6*f**2 + 7*f + 4. Let s be j(-7). Suppose -2*l - 3*r + 16 + 15 = 0, -4*r - s = -3*l. Suppose -m + 4 + l = 0. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q - 1. Let j be (-91)\/(-28)*(-4)\/(-1). Suppose -12 - j = -5*x. Let v(d) = 3*d - 1. Determine x*c(l) - 3*v(l).\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 813625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, k: 2}. Give prob of sequence ykk.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 145254788?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 37 + 268?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 800 and 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2201120201 - -1201?\nAnswer: 2201122102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -52*z - 10. What is the tens digit of x(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4661464535?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -8*p**3 + 7*p**2 + 7*p + 6. Let z(s) = 7*s**3 - 6*s**2 - 6*s - 5. What is 6*g(h) + 7*z(h)?\nAnswer: h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 156\/(-12))*85\/(-204)*(-24)\/5\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 241*c*f*q - 3564*c*f - 2*c*q - 690*c - f*q + 63716*q + 1 wrt f?\nAnswer: 241*c*q - 3564*c - q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2643 is divided by 98.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -247, -5 in decreasing order.\nAnswer: 8, -5, -247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 20*p - 6730 = -16*p, -k - 5*p + 2218 = 0. Let r = k + -1598. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p + 0*p + 3*p + 4*p.\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -4\/3*k**3 + 7*k - 5 - 1\/4*k**4 + 3*k**2. What is the least common multiple of 2 and o(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -3\/4, -4\/17 in descending order.\nAnswer: -4\/17, -3\/4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/7 + (-90)\/(-22 + 4)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = -156 - 24. Which is smaller: p or -18?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 126 - 92. Let a = r + -33.9999674. Round a to six decimal places.\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -332049\/5959 or -55?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -12a (base 11) in base 10?\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 98392 divided by -502\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27192 is divided by 469.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -588907 (base 11) to base 16\nAnswer: -e40ef","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1100) + sqrt(1100) - sqrt(308)\/(sqrt(14)\/sqrt(2)))\/(sqrt(576)*2*5).\nAnswer: 7*sqrt(11)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 299 = -92*k - 6 - 107 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14605948?\nAnswer: 2, 7, 521641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 486814.\nAnswer: 2, 401, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38333 + 23977 - 11090 = -1970*z for z.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8892 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3*v = -v + 27, 0 = 3*h + 3*v. Let j be h\/(-3) + (4 - 1). Let d = j + 1. Solve d*r + 8 = -12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 10*o + 16 + o**2 - 7 - 3*o. Let u be f(-6). Let -2*m**4 + 2*m**4 - 2*m**4 + 2*m**2 - 3*m**u + 3*m**4 = 0. What is m?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45698253 is divided by 22849112.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a tonne?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6250142 is divided by 113637.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 210.1 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 x when two letters picked without replacement from eexxeee.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(-2\/13)*z)\/z)**(-20)*(z*z*z**(-3\/7)*z)\/z**(1\/12) assuming z is positive.\nAnswer: z**(-37603\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -222 (c) -2\/25 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 19815752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4401\/8398 - 1\/442. Which is the second biggest value? (a) n (b) 0.1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -194700 to the nearest 10000.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 274817 - 60999 = o + 10*o. What are the prime factors of o?\nAnswer: 2, 9719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 + 37. Let t be (-21)\/2 - 1\/(-16)*-8. Let n be (-9486)\/(-99) + d\/t. What is the greatest common divisor of 64 and n?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60793?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 10845*r - 10844*r - 8*r**2 + 20*r**4 - 2*r**4 + (3 - r - 3)*(4 + r - 4)*(28 + 2*r**2 - 28) as i + q*r**3 + f*r**4 + w*r**2 + z*r and give f.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6528 and 32?\nAnswer: 6528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**4 + 40*f**3 - 436*f**2 + 680*f = 0 for f.\nAnswer: -17, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*q - 8 = 32 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - 3\/(6\/(-8)). Is 2 a factor of (-1)\/((5\/(-4))\/l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyyyyyy. Give prob of picking 3 y.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 259, 509, 759, 1009, 1259, 1509?\nAnswer: 1759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 10 = -x, 4*x - x = -2*s + 14. Let j be s\/(-12) - (-25)\/(-15). Put -20, j, -5 in descending order.\nAnswer: j, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20506793?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**3 + 5*l**2 - 288*l + 290*l + 3*l**2 - 5*l**2 to the form v + o*l**3 + c*l + g*l**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3344*d - 54874 = 359782 for d.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 - 25. Which is smaller: y or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-1) + ((-6)\/(-5) - 64828\/(-8360)).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xwxxkwkwx. Give prob of sequence kw.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 6\/13 - 2\/13*x - 4\/13*x**2 = 0. Calculate x.\nAnswer: -3\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a litre in millilitres?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3 = 4*v, 4*v - i = 12 - 5. Let t = -305 - -303. Sort v, 1, t in decreasing order.\nAnswer: v, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 20*u + 167. Calculate c(-33).\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or 2\/69?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 127, -2, -5, 1, -1 in descending order.\nAnswer: 127, 1, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4998 and 7497.\nAnswer: 14994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 10355, 10356, 10357, 10358?\n\"Answer: s + 10354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h - 5*h**2 + 4*h - h**2 to u + o*h + b*h**2 and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2736) + 4 + -3 + (sqrt(95)\/(-4*sqrt(80) - sqrt(80)))**2.\nAnswer: 419\/400 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.188311 rounded to three decimal places?\nAnswer: 0.188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tos when three letters picked without replacement from osst.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1165322 and 548.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35248853?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3103, -6211, -9317, -12421?\n\"Answer: w**2 - 3111*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 101.5.\nAnswer: -40.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j, -4*z + z - 2*j + 9 = 0. What are the prime factors of z*(955\/15 + -4)?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {i: 2, o: 18}?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -6*c**2 + 3. Let l(o) = 13*o + 13*o - 35*o + 7*o. Calculate l(s(x)).\nAnswer: 24*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.5, -6\/13, 2\/9, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((27\/(-3))\/(-27))\/(2\/(-18))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2128108 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -209, -211, -213, -215, -217?\nAnswer: -219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 337 + -229. Let y be 270\/w*(-8)\/5. Which is smaller: y or -40\/9?\nAnswer: -40\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (300\/200)\/(15\/(-200))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98778*0.0806.\nAnswer: 7961.5068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1756, 1461, 0.1 in descending order.\nAnswer: 1756, 1461, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q - 2708 = -12*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*q - 185 + 46408 = 0, -3*h - 2*q = -138701. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110112002 (base 4) in base 5?\nAnswer: 10131310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 3*o + 1363, 0*o = 5*o + 5. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i. Let k(a) = 2021*a - 2. Give p(k(c)).\nAnswer: 8084*c - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*k + 86*k + 72*k - 237*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3838008313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1273358401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -4*u**5\/13 + 11098*u**4\/13 - 10261950*u**3\/13 + 3160678750*u**2\/13 + 1582906250*u\/13 = 0.\nAnswer: -1\/2, 0, 925","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8237, -16468, -24703, -32942?\nAnswer: -41185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 6*q = -48, -24*q - 32 = 3*x - 26*q for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -6*s**2 - 28*s + 13*s**2 - 3*s**2 + 4*s. Let r be n(6). Solve -1\/2*p**3 + r*p + p**2 + 0 - 5*p**4 = 0.\nAnswer: -1\/2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeee. Give prob of picking 4 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 86?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -270 + -216. Let j = -471 - h. What is the highest common divisor of 55 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 252 and 2281391?\nAnswer: 82130076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1416*i + 360*i - 412*i)*(-6*i - 3*i**4 + 6*i).\nAnswer: -4092*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1060 = -26*a + 16*a. Is a a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-60)\/(-45) + 2\/3. Suppose 0*s + 3*h = 5*s, 5*s + 4*h = 35. Let t(b) = b**2 - i + s*b**2 - b**3 + b - b. Give t(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 6*i - 4. Let q(f) = 2*f - 6. Let j be q(7). Is 13 a factor of t(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**3 + 1 - 1)*((2 + 2 - 3)*(j**2 + 0*j + 0*j) + 4*j**2 - 4*j**2 + 2*j**2).\nAnswer: -6*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -332, -322, -332, -380, -484, -662?\nAnswer: -932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**2. Let d(p) be the third derivative of -p**7\/1260 - 5*p**4\/24 - 2*p**2. Let b(l) be the second derivative of d(l). Give b(w(i)).\nAnswer: -8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 475*m - 412*m - 429*m + 2138*m - 417*m - 433*m.\nAnswer: -28*m - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 368138870?\nAnswer: 2, 5, 11, 19, 67, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/115)\/((-2721)\/(-4535))?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 5*x + 33 - 167, x + 4*t = 34. What is the highest common factor of x and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1267 + 1271. Sort -4, j, -0.1, 10 in decreasing order.\nAnswer: 10, j, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of 0*n**5 - 1\/630*n**7 + 15*n**2 - 1\/540*n**6 + 0*n - 1\/3024*n**8 + 0*n**3 + 0 + 0*n**4. Factor r(t).\nAnswer: -t**3*(t + 1)*(t + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2984 and 27975.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 45*q**2 - 57*q - 10. Let o be x(43). Let z = -673 + o. Does 38 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3158 is divided by 3141.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, n: 1, o: 1, x: 1, f: 1}. What is prob of sequence ofnq?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -40\/9*l - 2\/9*l**2 + 0 = 0. What is l?\nAnswer: -20, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1541 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -47*n - 796. Let k be r(-17). Determine w so that 2*w + 1\/2 + 2*w**k + 3*w**2 + 1\/2*w**4 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 0 - 17*n**2 - 1 + 8*n - n**2 + 13. Let h(s) = -18*s**2 + 7*s + 11. Let f(m) = -3*h(m) + 2*q(m). Is 56 a factor of f(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -1)\/(-11 - -12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22570 - -53378047\/2365. Which is smaller: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -3918.\nAnswer: -5\/3918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l. Suppose -20 = -4*q - q. Suppose -3*s + q = -2. Let r(o) = -3*o - o + 2*o**s + 4*o. Calculate r(p(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 43659824393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -5 + (-5 - (3 - 13)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 5 + 7*g + 3.\nAnswer: 7*g + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1020, 2361, 3702?\n\"Answer: 1341*c - 321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 844975826.\nAnswer: 2, 13417, 31489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 22*t**2 + 49*t - 25. Determine y(24).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -0.039.\nAnswer: 0.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 4, -5, -4496 in increasing order.\nAnswer: -4496, -5, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2512 is divided by 93.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i - 2*q - 0*q - 6, 3 = -i - 5*q for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 105\/5902 and ((-8)\/((-43584)\/(-1674)))\/(-2 - 68\/8)?\nAnswer: 41314","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 20*p**2 + 25*p - 9. Let w be h(21). Suppose 2*q - 4 + 6 = 0, s = -q + w. Which is bigger: 75 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -1 - 11)*(-1729)\/(-532)*1 - -4.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, d: 1}. Give prob of picking 1 d and 3 s.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8366*c - 256 = 8350*c for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*x**4 - 28*x**4 + 6*x**4)*(-5 + 1 - 2*x + 2).\nAnswer: 116*x**5 + 116*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/2 - (-2 - 0). Let k be 2 - l*(-2)\/(-4). Solve 0 = y - 3 + k for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3937.7 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010011111 - 100000001011000111?\nAnswer: -100000011101100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of o**7\/20 - o**6\/90 - 10*o**3\/3 - 63. Let a(n) be the third derivative of f(n). What is the third derivative of a(w) wrt w?\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, 2, -2, -1 in descending order.\nAnswer: 52, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -11 + 8 + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/2 + 795*k\/2 + 7317.\nAnswer: -(k - 813)*(k + 18)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 3:08 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(70)*3)\/(sqrt(160)*-2).\nAnswer: 9*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzii. What is prob of picking 2 z?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**5 + b**5 + b**5 + (4299*b**2 - 784*b**2 - 993*b**2)*(4 - 4 - b**3).\nAnswer: -2520*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -123, -533, -1201, -2103, -3215, -4513, -5973?\nAnswer: -7571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 171295 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*y**2 - 25*y**2 - 30*y**2 + 0*y**2 - 30*y**2 - 47*y**2 + y**2 - 6*y**2 + 3*y**2 + (-3*y**2 + 2*y**2 + 2*y**2)*(0 + 3 - 4).\nAnswer: -109*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 606972 to the nearest integer?\nAnswer: 779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/(((-4)\/2)\/1). Let h(u) be the second derivative of -u**5\/20 + 5*u**4\/12 + u**3\/6 + u**2 - 10*u + 4. What is h(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 6:14 AM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of 49*u**5\/4 - 83*u**4\/12 - 132*u - 2. Find the third derivative of m(l) wrt l.\nAnswer: 1470","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 + 251. What are the prime factors of q?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2.4557475 months?\nAnswer: 0.204645625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5362 and 58268?\nAnswer: 22316644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/28 - (2 - 185\/35). Put -2, -1, w in ascending order.\nAnswer: -2, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 7:19 AM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 8*r**2 - r + 8. Let x be p(8). Let w(l) = l + 2. Let a be w(x). Suppose 2*g - 15 = u + 7*g, 16 = -2*u - 3*g. Put a, -1, u in ascending order.\nAnswer: u, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 126714 divided by -63357\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1017623678*f**2*g**3 + 2*f*g**3 - 3*f*g + 68*f + 2*g**3 + 9*g**2 + 2455 wrt f?\nAnswer: -2035247356*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -170 - 101.\nAnswer: -271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 13*s + 150. Let x be z(-5). Sort x, 8, 4, 2.\nAnswer: 2, 4, 8, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 56 (b) 28 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54141, 54997, 55853?\nAnswer: 56709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)\/(sqrt(99)\/(sqrt(11)*2) + sqrt(9) + sqrt(9)) + -2*(sqrt(13) + 2) + -2 + sqrt(13) + 0)**2 + -2.\nAnswer: 36*sqrt(13)\/5 + 967\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3245 and 110.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 175196.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-4)\/(-26) - ((-24034)\/11895 + 2).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23165 - -160410?\nAnswer: 213605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -5*a + k, -4*k - 52 = -0*a - 2*a. Solve o + a = 5*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10489?\nAnswer: 17, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -972*j**2. Let g(z) = 4*z. Calculate l(g(u)).\nAnswer: -15552*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x. Let i(v) = -52*v + 1. Determine -3*c(y) - i(y).\nAnswer: 55*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a. Let n(c) = 93098714*c. Give w(n(o)).\nAnswer: 93098714*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-1)*1\/(-2). Let r = -145 - -112. Let j be (-6)\/r + (-188)\/(-176). Is w <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 4*k**2 - 7*k + 5. Let y be g(5). Let v = y - -5. Suppose -4*h + 9*h - 40 = v. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -514 + 513.5. What is the closest to -4 in -1, 5, g, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*m + 1725 = -417 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21809606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 3*p**2. Let c be s(-3). Let q = c + 0. Suppose q*b = -3*b + 57. What is the remainder when b is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 30 = -4*n, -13*o = -12*o - 4*n + 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 861.1464 meters?\nAnswer: 861146.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a**2 - a**2 - 18 + 16 in the form u*a + d + y*a**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 575.575 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4871207 in 2, 1, 4\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2794 + -1050.23.\nAnswer: 1743.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 1149 = 1551. Calculate the greatest common divisor of d and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6942*m - 6918*m = -432 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4625493l in millilitres?\nAnswer: 462.5493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 15*c + 55*c**3 + 4*c**4 - 39*c + 123*c**2 - 227*c**3 - 344*c - 667*c**2 = 0.\nAnswer: -2, -1, 0, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hchhhhhcchh. What is prob of picking 4 h?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 364 + -201. Let h = 164 - d. Which is the third smallest value? (a) -3 (b) 1\/10 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2007 at least as big as 2008?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r**2 + 3*r - 13. Let i(x) = -7*x**2 + 5*x - 24. Calculate -6*i(u) + 11*j(u).\nAnswer: -2*u**2 + 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 91*i - 95*i - 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2342898 and 44124579.\nAnswer: 264747474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81, -167, -253, -339?\nAnswer: -425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)*2 - sqrt(20))**2*3*6 - (0 + (sqrt(320) - -2*sqrt(320))**2).\nAnswer: -2520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -849, -1636, -2423, -3210, -3997, -4784?\n\"Answer: -787*j - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9\/8 + 3\/2*s - 3\/8*s**2.\nAnswer: -3*(s - 3)*(s - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2657 and 2656 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4*q. Suppose 2*y = 2*n + 6, 4*n + 0*y + 5*y - 33 = 0. Let i(h) be the third derivative of 0*h + 0*h**3 - 2*h**n + 1\/6*h**4 + 0. Give v(i(o)).\nAnswer: -16*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*h**2 + 13*h**2 - 16*h**2 in the form n + j*h + d*h**2 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -10929 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25 in -2\/19, 1\/6, -3\/4, 5\/3, 51?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 3*i + 0*i)*(-2*i + 14*i + i) + (0*i + 3*i - i)*(22*i + 21*i - 27*i) + 2*i**2 + 0 + 0.\nAnswer: 47*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34285 + 61289. What are the prime factors of l?\nAnswer: 2, 43, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 7 + 8 - 3) + -10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174656 is divided by 5629.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/651249?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(3\/(-3)) - (-40)\/(2000\/(-950))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -123aa?\nAnswer: 123a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-25)\/39 - 323\/(-969). Suppose -2*v - 18 = 10. Let j be 10\/35 + 18\/v. Is y < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5225 + -503.4225. Let o = 503 + x. What is the biggest value in o, 4\/3, -9?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -497.45866\nAnswer: -149.237598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2227 is divided by 372?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.08229 + 0.11229. Which is the closest to -0.2? (a) 4 (b) 2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l - 86. Let a be k(0). Let r = -59 - a. Suppose 3*w = -4*s, 3*w - 4*s = -3 + r. Solve i + i = w for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 48*d + 6. Let t(j) = 144*j + 17. What is 3*t(b) - 8*u(b)?\nAnswer: 48*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q**2 + 3*q - 1. Let y be h(3). Let w = y - -23. Suppose -2*b = 3*i + 9 - 24, 3*b - 3*i = 30. Solve -3*a + 4*g + b = 6*g, 3*g = w*a + 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**4 - 86*a + 2*a**4 + 542*a**5 - 594*a**5 + 1489*a**5 wrt a.\nAnswer: 28740*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -l + 5. Let v(w) = -w**3 + 3*w**2 - 6*w. Let y(a) = a**2 + a. Let q(s) = l*y(s) + v(s). What is the third derivative of q(r) wrt r?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90.6653ml to litres.\nAnswer: 0.0906653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, w: 1, p: 2, t: 1, g: 2}. Give prob of picking 1 g and 1 p.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z**3 + 2 - z**3 + 4*z**3 - z**2 + z**3 as t*z**2 + d*z + h*z**3 + f and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p**(2\/15)\/p)*p*p*p\/p**2*p)\/(p\/(p\/p**(-1\/2)))**(-2\/3)*(((p**3\/p)\/p)\/((p\/(p**10*p*p)*p*p)\/p))**(9\/10) assuming p is positive.\nAnswer: p**(433\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1962 + 1785.9. Let o = 176 + c. What is the second smallest value in o, 31, -0.5, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - 2*h - 36. Let f be o(7). Let p be (2 + f)\/(5\/20). What is the nearest to 0.2 in -2\/11, p, -5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(-12)\/8*1. Suppose 2*m = -4*x + 670, 0 = m - 6*x + h*x - 330. Suppose m = -38*o + 41*o. What are the prime factors of o?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -12. Suppose x*m + 1 = 2*d + 5, 5*m - d - 11 = 0. What is the third derivative of -f**2 - 2*f**2 + f**2 + f**3 + f**m wrt f?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 (base 16) in base 3?\nAnswer: -1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of 1\/6*b**3 + 0 - 3*b + 0*b**2. Let j(k) = k. Give j(y(z)).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and -24935922?\nAnswer: 24935922.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of q**5\/60 + 17*q**4\/24 + 6*q**3 - 12. Let p(o) be the third derivative of r(o). Differentiate p(l) with respect to l.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000314261346 to 7 dps.\nAnswer: 0.0000314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 263\/2 + -144. Let y = -13 - i. What is the nearest to y in -0.4, -5, -1\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*((t\/((t**(-11)*t)\/t))\/t)\/t)**6 assuming t is positive.\nAnswer: t**66","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 419906914 to the power of 1\/2, to the nearest integer?\nAnswer: 20492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2 + 6*o - 6. Let c(g) = -g**2 + g + 1. Let u(v) = -c(v) - q(v). Calculate u(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2011751, 4023502, 6035257, 8047016, 10058779?\nAnswer: 12070546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -657973*m**2 - 181780*m**2 - 516923*m**2.\nAnswer: -1356676*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -65 - -113. Let u(k) = 75*k + 72 - 163*k + 78*k. Let f be u(7). What is the highest common divisor of f and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7401 (base 8) to base 3.\nAnswer: 12021021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(5\/6)\/g**9)**(-4\/23) assuming g is positive.\nAnswer: g**(98\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 7*u**4 - 54*u**3 - 68*u**2 + 54*u + 61 = 0.\nAnswer: -1, 1, 61\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 42*u**2 - 3*u + 1. Is q(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80)\/28*210\/(-60).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 12:54 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.11 - 2.11. What is the third smallest value in 0.1, m, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -511*i*u - 4450*i - 1637*u + 331 wrt i?\nAnswer: -511*u - 4450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5}. Give prob of picking 2 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -m**5\/12 - 1075*m**4\/24 - 535*m**3\/3 + 101*m**2 + 18. Factor t(v).\nAnswer: -5*(v + 1)*(v + 214)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -20, 0.4, 106.9, -98\/13?\nAnswer: -98\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 217930 and 28500.\nAnswer: 32689500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 11:43 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 8:01 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0028966958 to 4 dps.\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 1.67693486.\nAnswer: 0.335386972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 6*t + 111. Is w(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 7*n - 26. Let a be d(-10). Solve 0 = a*s - 2*p - 18, -29 = 2*s - 4*s + 5*p for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1468*a**4 + 2*a**2 - 249?\nAnswer: 35232*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 48 + -32. Let m = 18 - b. Let i = 3646 + -3646. Sort m, i, -7, 4\/3 in descending order.\nAnswer: m, 4\/3, i, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1166 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -118e4 + -15?\nAnswer: -11909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, w: 5, e: 1, k: 3, r: 6}. What is prob of sequence fwrw?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -66 (c) -3\/610\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1448684609?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.462379 weeks to days.\nAnswer: 10.236653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/33 + 4\/((-36)\/51).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 144*a**4 + a**2 - 116 wrt a?\nAnswer: 576*a**3 + 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10994, -10993, -10992, -10991, -10990?\nAnswer: -10989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -23942 minus -1258?\nAnswer: -22684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 n when four letters picked without replacement from {t: 3, n: 5, w: 1, j: 4, u: 1, q: 1}.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1 + (-4 + 2 + 3)*(-19 + 10 - 18))*(-c**4 + 2*c**4 + c**4).\nAnswer: -58*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-7))\/((-64)\/(-224))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 392 and 17033380.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 59691348 divided by 18?\nAnswer: 3316186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 7:41 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -155\/6? (a) -0.3 (b) -0.4 (c) 0 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -320 divided by 4\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1987043057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 12:56 AM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1325614097?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1584) + sqrt(1584))*-1 - (sqrt(1584)*-1 + 5)**2 - -3*(sqrt(1584) + ((-1*sqrt(1584) - sqrt(1584))**2 - sqrt(1584)))*-4)*-2.\nAnswer: -168*sqrt(11) + 155282","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2272032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 22.2379 and -0.829.\nAnswer: -18.4352191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 139 and -9.\nAnswer: -1251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 6*q - 2. Let g be k(-5). Suppose g*r + 3*f - 33 = 0, 2*f - 23 = -3*r + 5. Is r + (-2 - -1 - -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t - 1. Let m be k(3). Let o be 8\/m*3\/18. Which is smaller: 0.3 or o?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 7*q**2 - 8*q + 7. Let c be a(-5). Let h(j) be the second derivative of j**3\/6 + 2*j**2 - j. Give h(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*((-3420)\/40)\/(-57)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in 4\/3, -2\/61, -5, 0.3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + (-2)\/((-2)\/5). Calculate the greatest common divisor of y and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3 - 1.3. Let u be (0 + -2 + 1)*2. Let p be u\/5 + 208\/120. Sort b, 2\/7, p in descending order.\nAnswer: p, 2\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -1 - 4*u**3 + u**2 - 2*u**3 + 11*u**3 + u - 6*u**3. Let o(r) = -2*r - 26. Let t be o(-13). What is g(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2375797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 9*y**2 - 9*y - 9. Let u be t(10). Suppose -u = -6*n + 7*n. Let w(b) = 13*b**3 + b**2 - 1. What is w(n)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 27*d + 50. Let l be j(-2). Let y(v) = -238*v**3 + 8*v**2 + 3*v + 1. Is y(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23832?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 9:12 AM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1932628 and 680?\nAnswer: 19326280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -x - 15 - 0, 3*x + 20 = -b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27236, 53863, 80488, 107111, 133732, 160351, 186968?\nAnswer: 213583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/9, -3, -5, -4\/5, -1\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((437\/76)\/23)\/((-1)\/72)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/90205 - 7487343\/29587240. Calculate the common denominator of 43\/8 and l.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 + 87075*a**2 + 5896915*a - 18474555.\nAnswer: 5*(a - 3)*(a + 71)*(a + 17347)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 361.032.\nAnswer: -108.3096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11046879703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/21 and 22\/285?\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 74713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 280862677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 25*t - 15. Let a(l) = l - 1. Let i(q) = 20*a(q) - j(q). Let u be i(-2). Solve u = 2*y - y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 0.045?\nAnswer: -0.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.096 and 86.8.\nAnswer: 8.3328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) 15\/11 (c) 0 (d) -26 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1510164 a multiple of 177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -7 + 54\/(30\/5). Suppose 2*t = i + 4 - 3, -12 = t - 3*i. Solve 0 = -y*c - t - 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -460 + 178. Let g = v - -279.94. What is g rounded to 1 decimal place?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*15\/(-8)*(-97844)\/(-183). Let r = -211 + l. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + n + 8 = 259, 2*a - 3*n = 143. What is the least common multiple of 64 and a?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-44)\/(-4)*(-1)\/(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34345, -34349, -34369, -34411, -34481, -34585, -34729?\nAnswer: -34919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56 and 126.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 713795 to the power of 1\/2, to the nearest integer?\nAnswer: 845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 2, d: 11}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 15) in base 9?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65823674?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: (-173 - -54) + 107 + (12 - 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4331)\/(-6344)*-48 - -34.\nAnswer: 16\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*d**2 - 5*d - 4 - 31*d**2 + 5*d**3 + 3 in the form k*d + q + l*d**2 + b*d**3 and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/30*-6*3\/3. Let y(k) = -2*k**2 - 4*k. Let g(q) = 15*q**2 + 27*q. Determine f*g(j) + 27*y(j).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-32))\/((-42)\/(-56))*816\/408?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*4*sqrt(315)*-5)\/((sqrt(252)\/(sqrt(12) - (sqrt(12) - sqrt(972))))\/sqrt(3)*5).\nAnswer: 432*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7183\/4 + -1776. Let s = 461250 - 1860893\/4. Let c = -3949 - s. Find the common denominator of c and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 66*b**2 + 2*b**3 - 62*b**2 - 2*b**3 - 4*b**6 wrt b.\nAnswer: -480*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3 less than -3693?\nAnswer: -3694.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 1 + 6 + 15 + 4*z - 3*z. Let q be m(-18). Solve -3*x + 2*a = 5, q*a = -3*x - 31 - 4 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q + 2. Let n(j) = j - 1. Let i(t) = -a(t) - n(t). Let m(h) = 6*h - 3. Give 17*i(g) - 6*m(g).\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 5\/3*j**3 - 68\/3*j**2 + 60*j - 48 + 1\/3*j**4 = 0. What is j?\nAnswer: -12, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 183 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20384534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 7418 = 4*r + 2139, 3*i - 9512 = -5*r. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmj when three letters picked without replacement from mjxmmxmmxjjxjmxm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 559*b - 139*b - 214*b + 121*b)*(4*b + 5*b - 4*b) + 4*b**2 - 2*b**2 - 5*b**2.\nAnswer: 1632*b**2 + 10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 56*u + 377. Let j(d) = -d. Calculate j(x(i)).\nAnswer: -56*i - 377","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30075418 to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/60*20775\/(-277).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-24)\/14 - (0 - 2). Let b = 115\/981 + -2404\/981. What is the smallest value in -4, m, b?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -115, -263, -471, -739?\nAnswer: -1067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 476?\nAnswer: -480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**2 + 136184*c + 136182 = 0?\nAnswer: -68091, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 37499600 to the nearest one hundred thousand.\nAnswer: 37500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -5372534*p**2. Let z(r) = -r. Determine z(b(y)).\nAnswer: 5372534*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2*i = -72, 2*v - 57 = 6*i - i. Suppose -t + 49 = 3*t + 5*m, -2*t + 3*m + v = 0. Calculate the smallest common multiple of 16 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**3 - 2*l + 1. Suppose -11 = -k - 2*m, k + m = 7 - 1. Give r(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + -3)\/(12\/(-4) + -3). Put 5\/2, m, 5, -1 in decreasing order.\nAnswer: 5, 5\/2, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g = 4*g - 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -59*y**3 - 29*y**2 + 638. Find the second derivative of s(h) wrt h.\nAnswer: -354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241758632 a multiple of 1394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1475106 and 6?\nAnswer: 1475106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1777*s**5 - 17677*s**4 + 2*s**3 + 74722750*s**2 wrt s?\nAnswer: -106620*s**2 - 424248*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-8))\/((-56)\/(-4))*-3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 2*m - 20 - 24, 0 = i - 5*m - 29. Let l be 3*(-1)\/(3\/(-4)). Suppose -l*u + 45 = u. What is the highest common divisor of u and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 882 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 10*z**2 - 27*z - 156. Determine u(-13).\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000442099 rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**3\/h**3)\/(h\/((((h\/h**(-1\/4))\/h*h)\/h)\/h)*h*h)**(-49)*(h\/(h\/((h\/(h*h*h**(1\/2)\/h))\/h))*h**(1\/3))\/(h**(-2\/17)\/((h*h*h**0)\/h)) assuming h is positive.\nAnswer: h**(37475\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.319165911 to 5 decimal places.\nAnswer: 0.31917","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*x + 403 - 4086 = 192*x for x.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9, -1675, -2\/81?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (20\/60)\/(1 - 0). Which is the nearest to f? (a) 3 (b) -2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 12. Let a be h\/42 + 4\/14. Let x(b) = -1 + 5 - 4*b + 3*b. What is x(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -386*x + 1144. Determine t(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/7030 and -99\/82.\nAnswer: 288230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**(-5)*y\/(y\/(y\/(y\/y**9))))\/(y\/(y*y**(2\/9)*y))**(-2\/13) assuming y is positive.\nAnswer: y**(680\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o - 72 = -6*o. Let l(z) = -z**3 - 7*z**2 + 7*z + 2. What is l(o)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(3\/7)\/(v\/((v**(1\/14)*v)\/v*v)))**(1\/2))**(3\/4) assuming v is positive.\nAnswer: v**(3\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/198 and 4\/15081.\nAnswer: 90486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1527 + 7739. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - n = 70 - 49, -4*n + 11 = -3*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 4*m**2 - 3*m - 2. Suppose -175*g + 177*g + 8 = 0. Let p be r(g). Solve -p = -5*k + 5*n, -2*k + 4*n = -13 - 1 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20830609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 753.2.\nAnswer: 150.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 13*n - 93. Let g be b(25). Suppose -25 = -p - 2*m, 49 = 2*p + 3*m - 0*m. Calculate the greatest common divisor of g and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32012556 and 18186.\nAnswer: 224087892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 205698 divided by -1?\nAnswer: -205698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40945 is divided by 13315?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2538 + 2558. Let f(p) = 28*p**2 - 6*p - 4. Let m be f(4). Calculate the highest common divisor of m and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3500349 by -3.\nAnswer: -1166783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 22 = h, -2*h - 7443*b + 7442*b - 53 = 0 for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/8 of a centimeter?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 3896699.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/4 (b) -4 (c) -3\/2 (d) -2\/3 (e) -52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k + 5*j - 158 + 77 + 66, 83 = 5*k + 9*j for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4 = -2*k + 5, -3*k - 5*c + 17 = 0. Suppose -2 = l + k. What is the units digit of (-4)\/6*l\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -422*y**3 + 3*y - 6. Is r(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2709 + -128. List the prime factors of d.\nAnswer: 29, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 648.4 + -651.75. Round o to one decimal place.\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 - 4792)*(5 - 1)\/(-8).\nAnswer: 2, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*r**2 - 3*r**2 + 2*r**2 + 3*r**2 + 2*r**2 - 6*r**2 + (3*r + 0 + 0)*(-4 + 4 + r).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/3)\/(-7 - (-7443059)\/1063299) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5}. Give prob of picking 3 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 644\/(-1518) + 2\/22?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1210\/47 or -25?\nAnswer: -1210\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5901652, -5901631, -5901584, -5901505, -5901388, -5901227, -5901016?\n\"Answer: z**3 + 7*z**2 - 7*z - 5901653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -345 less than -281?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3669030 or -3669019?\nAnswer: -3669019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 60900 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-2*sqrt(152)*-5)\/(sqrt(16)\/(sqrt(10)\/(sqrt(5)*2))) + 0)**2.\nAnswer: 4275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -5 + (-1 - -19 - 13) + -12.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 560, 1161, 1762, 2363, 2964, 3565?\nAnswer: 4166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 c when two letters picked without replacement from {c: 2, j: 1, x: 1, s: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.01 + 3.01. Let n = 458.3 - 458.5. What is the third smallest value in 2\/3, n, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15695 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 14 = 11. Let g be 1*3\/9 + 160\/96. Solve -3*l = g*t + 4, 2*l = s*t - 7 + 17 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -h**8\/960 + h**6\/720 + 4*h**4\/3 + 3*h. Let d(g) be the third derivative of q(g). Determine d(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m\/m**26))**8*(m**7\/m)**39)**(-2\/29) assuming m is positive.\nAnswer: m**(-868\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -548 divided by 3\nAnswer: -548\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35178 + 27*b**4 + 35180 + 4*b**4 + 11*b**2 to l*b**2 + a + n*b**4 + r*b**3 + h*b and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90 and 45?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.14 - 8.86. Let c = l + 7. Sort c, 1, -5\/6 in decreasing order.\nAnswer: 1, -5\/6, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 119 = -6*g, 84*x = -467*g + 462*g + 515 for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 213 = 37. Suppose 0 = 12*b - 13*b - 3*b. Suppose 4*s - 3*t - 48 = b, s + 2*t = -0*s + 1. What is the remainder when j is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1581*f - 5*f**2 + 5*f**2 + 4*f**3 + 2 + 1600*f to the form a*f + v + w*f**3 + t*f**2 and give a.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 3)*(-2 - 9*o**2 + 30*o**2 - 5*o**2).\nAnswer: -16*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of i**6\/360 - i**4\/8 - i**2. Let d(n) be the second derivative of j(n). Let x(v) = -3*v**2 + 4*v**2 + v**2. Determine x(d(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5225 - -67976\/13. Find the common denominator of n and 5*-15*6\/(-12).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 20 (b) -4\/7 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 28 + -23 + 10 + (4 - 9 - -15)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, w: 2, k: 1, l: 1}. Give prob of picking 3 p.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2084015356?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7192\/(-10846) + (-2)\/(-17)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-7))**(-24)*(r\/r**(-15)*r)\/r**(-4\/7))**24 assuming r is positive.\nAnswer: r**(27144\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**3 - 99*w**2 + 173780991 - 152*w**2 - 173780991.\nAnswer: w**3 - 251*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -j**3\/3 + 2*j**2 + j - 2. Let d(p) = p + 4. Let a be d(1). Give k(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 156 and 4?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8119 = -1823*r - 19226 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1989*i + 3420*i + 2865*i)*(-1 + i**2 + 1) to c*i + u*i**2 + x*i**3 + y and give x.\nAnswer: 4296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1030669.98 to the nearest one thousand.\nAnswer: -1031000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56 - -166\/3. Let w = 0.1 - 1.1. Which is greater: w or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141306898 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4531 is divided by 1486?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2851*g**2 + 147*g**2 + 1042*g**2.\nAnswer: 4040*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*g**4 - 5*g**3 + 3*g**3 + 3*g**2 + 4*g**4 - 2 + 6*g**4 to the form z*g + h*g**3 + f*g**2 + l + p*g**4 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 388766197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 12*j - 3 - 6*j - 3*j**2 - j**2. Let h be (2 + -3)\/(4\/(-20)). Suppose 0 = h*b - 4*q + 9, 4*b - b = q - 11. Calculate o(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 85*(6 + -5) + 4. Suppose -75 = 7*r - t. Determine k, given that -3\/4*k**r + 3\/4*k + 3\/2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*y + 183*y - 18 = 0 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1580424 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1641 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 35488252 to the power of 1\/3, to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 10. Suppose -45*u + 50*u - 10 = 0. Let w be u\/n*7\/(-9 - -2). Sort w, -2\/9, -5, -2\/3 in descending order.\nAnswer: w, -2\/9, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 19 + 1. Let j = n + -5. Put 1, j, 4 in decreasing order.\nAnswer: 4, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*1*sqrt(35))\/(6*(sqrt(7)*2 + sqrt(7)) - sqrt(7)))**2.\nAnswer: 180\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2947 to the nearest 100.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 4, 15982.\nAnswer: -0.4, 4, 15982","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + i. Let b(q) = -5*q - 8. Let x be b(-3). Let f(h) = 5*h - 2 + h + 3 + x*h**2 - 2*h**2. What is 2*f(v) - 11*l(v)?\nAnswer: -v**2 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tttt when four letters picked without replacement from ttmtmtmmtmtt?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**14*h**(8\/3) assuming h is positive.\nAnswer: h**(50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.3? (a) 2\/13 (b) 0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317814 is divided by 85.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -650612101 to the nearest ten thousand.\nAnswer: -650610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1209 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t\/(t**(4\/3)*t))*t)\/(t*t**(-6)*t))**45 assuming t is positive.\nAnswer: t**375","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r. Let m(o) = -2*o + 9. Calculate m(b(q)).\nAnswer: 6*q + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 106?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3315.7 * 873\nAnswer: -2894606.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiuciuiu. What is prob of sequence ciui?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 1\/3*f**2 + 1\/9*f**4 - 1\/3*f**3 - 1 - 3*f. Let k(g) be the first derivative of b(g). Determine h, given that k(h) = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3 + 523*v**2 - 530*v - 3144.\nAnswer: (v - 3)*(v + 2)*(v + 524)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 14*v**2 - 16*v - 24. Let z = 4 + -4. Calculate the remainder when 205\/5 - z\/(-1) is divided by r(-13).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1371911402 to the power of 1\/3, to the nearest integer?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 0 = 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*w - 1\/2*w**2.\nAnswer: -w**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 5*y - 3. Let b be (-3 - 4) + (-4)\/(-1). Is q(b) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.54069 and 0.24.\nAnswer: -0.3697656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 370547?\nAnswer: 370547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -5, 2, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 102 and 18.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10591247 is divided by 458?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -h**6\/660 + 7*h**5\/330 - 2*h**4\/33 - 16*h**3\/33 + 21*h**2 - h. Let w(g) = 0. What is g?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1 + -1 + 2773\/47 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 132850 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 84847871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*z = -9. Let s = -2 + 1. Let f = -1.4 - s. Which is the biggest value? (a) -1\/5 (b) f (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/25 + 9*1\/95.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (12\/(-14))\/(21\/(-539) - 0) and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20? (a) 0.01 (b) -2 (c) -1\/4755\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p + 3*p - 11*p)*(4 + 3 - 5) + 0*p + 0*p + p to r*p + w and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1398.\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1859927767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15610371 is divided by 147.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 299685524?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q**3 - 662*q**2 + 227*q + 1770. What is k(-221)?\nAnswer: 444","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229*v - 235*v = 36 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1481.517397 rounded to the nearest ten?\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/540*-3)\/11*-2.\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 i when two letters picked without replacement from {w: 1, g: 1, i: 3, v: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*w = -2. Calculate the lowest common multiple of -18*4\/16*-2 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -13 - (-231)\/14 - (3 - 1). Let a = -30 + 18. Let j be (a\/(-20))\/((-4)\/5). What is the closest to 0 in d, -5\/6, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2068544084 to the nearest integer?\nAnswer: 45481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25036.1 kilograms to nanograms.\nAnswer: 25036100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18802993 is divided by 2350362?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 595 and 39797?\nAnswer: 1392895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a9683 (base 12) in base 11?\nAnswer: -453115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42880?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 920633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 6:01 AM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15224 is divided by 145?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5042*w - 1584 = -5086*w. Calculate the highest common divisor of w and 542.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eighty-one halves of a year?\nAnswer: 486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2528 + -2527.62. What is the nearest to -0.3 in z, 3\/4, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 3:58 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -25210 (base 13) in base 3?\nAnswer: -10110220111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11262*q**3 + 2*q - 5*q + 4*q**2 - 3*q**2 - 11297*q**3 to the form h*q + p + x*q**3 + w*q**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26582454 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 9:34 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40 + -69. What is the common denominator of 23\/8 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q - 21 + 66 = 0. Calculate the lowest common multiple of (-3)\/6*(-4)\/2 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28874 to the power of 1\/2, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 25.4, 4, -64.15, -11 in increasing order.\nAnswer: -64.15, -11, 4, 25.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 + -120253?\nAnswer: -120242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.8981673 years?\nAnswer: 0.0008981673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 6*n + 9*n)*(41*n**4 - 6*n**4 + 13*n**4 - n**2).\nAnswer: 144*n**5 - 3*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4*k**3 - k**2 - k. Let v be p(-1). Let g(b) = -v*b - 7 + 12 + b**3 + 5*b. Let t be 0*-1*1\/1. Calculate g(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(-2 - (-2 - 1)). Suppose r = 5*k + 2 + q, 4*k = 0. Solve -5*f - r*n = -0*n + 4, -5*f - 14 = -2*n for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (36 - (53 - 43)) + (1 - 9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 315515 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67982287?\nAnswer: 31, 67, 71, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, -3, 4, -10, -226, -0.2 in decreasing order.\nAnswer: 4, 0.07, -0.2, -3, -10, -226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q**2 - 5*q**2 + 3*q - 2*q**2 + 1 - 5*q**3 + q**2. Let i(x) = 14*x**3 + 8*x**2 - 8*x - 2. Determine -8*f(s) - 3*i(s).\nAnswer: -2*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 6*d - 1. Let h be g(-8). Suppose -2*f - f + h = 0. Solve 0*q**f + 5*q**5 - 6*q**5 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 2\/23, 43, 0, 0.2, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y\/(y\/y**4)*y*y)))**(5\/3)*(y\/y**(-1\/11))\/(y\/(y\/y**(6\/5))))**(3\/10) assuming y is positive.\nAnswer: y**(816\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 570773122?\nAnswer: 2, 285386561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -36\/7*j + 108\/7 + 3\/7*j**2 = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.23 (b) 0.08 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/(-8) + (6 - 0). Let m(k) = -k + 3. Let v be m(w). What is the closest to -1\/2 in 1\/3, v, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53 - -109. Let u = 182 - a. Calculate the greatest common factor of 10 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19696 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y + 9. Let v be u(-7). Let s(z) = -4*z**2 + 5*z - 2. Let f(a) = -3*a**2 + 4*a - 2. Calculate v*s(b) - 3*f(b).\nAnswer: b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 28, 5*a - 50 = 5*j - 75. Let l(g) be the third derivative of g**6\/40 + g**5\/60 + g**4\/24 + g**3\/3 - 2*g**2. Determine l(j).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -23, -25, -27, -29?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32bcd (base 15) to base 14.\nAnswer: 42acd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 406 + -380. What is the remainder when 50 is divided by n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3045436 a multiple of 889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ypppy. What is prob of picking 1 p and 1 y?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 35\/(-75) + 6\/9\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b529a4 (base 12) to base 4.\nAnswer: 112033300030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, -4, -5 in decreasing order.\nAnswer: 33, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5\/4 of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -187, -420, -689, -994, -1335?\n\"Answer: -18*i**2 - 179*i + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17.4 in 0.2, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.52488 to 2 dps.\nAnswer: -1.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 170 - 108. Let x = r + -62.3. What is the fourth biggest value in x, -7, 1, -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(108) + -2)*2 - ((0 + sqrt(108))*5 + (sqrt(108) - ((-4*(0 + sqrt(108) + sqrt(108)) - sqrt(108)) + sqrt(108) + sqrt(108)))))**2.\nAnswer: 1008*sqrt(3) + 5436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -i + 3*i. Let j = 9 + i. Solve j*a = -3*m - 2*a - 11, 4 = 2*a for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12283*t - 23195.\nAnswer: 12283","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 806929.\nAnswer: 806929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**2 - 66*f - 144. Let g be s(-2). Put -8, g, -9, -11 in decreasing order.\nAnswer: g, -8, -9, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20616 divided by 2.\nAnswer: 10308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -295*n + 2007 = -18555 + 7877 for n.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2103.46 days in minutes?\nAnswer: 3028982.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -345, -362, -391, -432, -485, -550, -627?\n\"Answer: -6*z**2 + z - 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 17*u - 54. Let j be y(6). Suppose -j = 65*n - 71*n. Let q be 1*(n\/(-3))\/(-8). Which is the biggest value? (a) q (b) 0.3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 5*a - 31, -2*d - 4 = -4*d. Let u(c) = -c + 10. Let m be u(a). Suppose -12 = -4*o, -6*o = m*p - o - 27. Is p a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -5*t. Suppose 0*j = -5*w - 3*j + 236, 3*w = -j + 144. Suppose -36296 = -w*r + 45*r. Let m(l) = 2 - 2 + r*l - 9056*l. Determine y(m(d)).\nAnswer: -90*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/13740706 and 13\/15568?\nAnswer: 109925648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 75*l + 7383. Let z(u) = -28*u - 2464. Calculate 3*b(q) + 8*z(q).\nAnswer: q + 2437","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36947457?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 361 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 7*y + 4. Let p be m(-6). Calculate the lowest common multiple of 0 + (0 + -1)*-2 and (1 - -10) + 0 + p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2618048?\nAnswer: 2, 19, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -1, 5, 37969, -14.\nAnswer: -14, -1, 5, 9, 37969","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(396) + -1)**2.\nAnswer: -12*sqrt(11) + 397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -5 + 17. Suppose p - j*s + 2 = s, 2*p - 5*s + 1 = 0. Determine h, given that 5\/2*h**3 + h**p - 7\/2*h**4 + 0*h + 0 = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11001001100101111100010 (base 2) to base 8.\nAnswer: 31145742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179380227.\nAnswer: 3, 13, 4599493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 29, -2, -1, 7 in ascending order.\nAnswer: -2, -1, 0, 7, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-72)\/(-32))\/((-111)\/(-8)). Let f = -1751\/11026 + p. Let q = f - 609\/3874. What is the second biggest value in 0.4, -1\/4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 10228.5.\nAnswer: -20457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -771, -768, -765, -762, -759, -756?\nAnswer: -753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 1, -307 in decreasing order.\nAnswer: 1, -19, -307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 9*r = -1107, 4*r = -5*x + 6*x - 283. What is the highest common factor of x and 459?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -112\/3 or -36?\nAnswer: -112\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(4\/(-5))\/(92\/138)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - 5. Let o be (-29)\/z + (-4)\/18. Solve 0 = -4*g + o*t - 9, 0*g - 12 = 4*g - 4*t for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 312*a**2 - 18*a + 18. Let d(v) = -89*v**2 + 5*v - 5. Suppose 3*r + 4*w - 87 = -41, 2*w = -r + 14. Determine r*d(g) + 5*j(g).\nAnswer: -42*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1059 is divided by 58.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -16*((-1)\/2 - 0). Let z be (6\/9)\/((-4)\/30). Let m = z + s. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4\/5)\/q**(1\/3)*q\/(q\/(q**(-6)\/q))*q*q\/q**(-3\/7))**(-1\/6) assuming q is positive.\nAnswer: q**(599\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42236?\nAnswer: 2, 10559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*m = -12. Suppose m*t + 156 = -4*s, 5*s - 2*s = -t - 45. Is 9 a factor of ((-1)\/(-2))\/((-1)\/t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-3) + -12 - ((-28059)\/235 - -106).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 105590 - 105589.9900929. Round j to four decimal places.\nAnswer: 0.0099","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 5) to base 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 182118.9 nanograms to grams.\nAnswer: 0.0001821189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68 + -30. Suppose -2*h + 4*p + 10 = -h, h - n = -3*p. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.052653*-158.\nAnswer: -8.319174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1725388.5906036 - -1729189.6906. Let a = l - 3800.8. Let m = -0.3 + a. What is m rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 184046 - 184046 + 3095*h to w + q*h and give q.\nAnswer: 3095","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -574, -2289, -6990, -16183, -31374, -54069, -85774?\nAnswer: -127995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.7, -3\/4, -4, 0.5, -0.5 in decreasing order.\nAnswer: 1.7, 0.5, -0.5, -3\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 617 a factor of 1271735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, 127, 45, 0.2, -1 in descending order.\nAnswer: 127, 45, 0.2, -1, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 4 = 2*z, -10 = -3*k - z. Solve -4*u + 2*u - 2*p + k = 0, 2*p = 4*u - 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -342 and -182503.\nAnswer: -182845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 9*c + 2. Let g(v) = v**2 - 10*v + 2. Let l(y) = 5*g(y) - 6*r(y). Let o be l(3). Let b = 1 - o. What is the nearest to b in 2, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t*t**(-3)))\/t)\/((t*t*t**(3\/2)*t*t)\/t))\/(t**1)**(-6)*((t*t*t**(-4\/3))\/(t*t**(-6\/13)*t))**(-7) assuming t is positive.\nAnswer: t**(749\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 25, 5, 1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2*b - 5*d + 68416, -3*d = -b + 22796. Let z = b - 108802. Round z to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of c**6\/120 - c**5\/15 - c**4\/6 - c**3 + c**2. Suppose -3*o = -y + 2*o + 11, 4*y - 3*o = 44. Let d = y - 6. Determine h(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 9*v**4 + v**4 + 4 - 2*v**2 to p*v**2 + r*v + x*v**3 + o + g*v**4 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7546548.\nAnswer: 2, 3, 257, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2985 is divided by 752?\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -974000 rounded to the nearest 10000?\nAnswer: -970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) -22\/13 (c) 0.063\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of 0*k + 0 - 1\/15*k**5 - 7*k**2 + 2*k**3 + 1\/3*k**4. What is l in p(l) = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xqxaexa. What is prob of sequence qxxx?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 1 = 5. Is 89 + (3 - 2 - b) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 761614763 to the nearest integer?\nAnswer: 913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 148509267?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-4)*520\/156\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 28486 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30.6 - 194.6. Let u = 173.3 + v. Let y = u - 9. What is the second biggest value in 2\/19, y, -1?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4497521975 to the nearest 1000000.\nAnswer: 4498000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12537?\nAnswer: 3, 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 263, 256, 245, 230, 211, 188?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 2*f - 56, 0*r + 2*f = -r + 20. Let u be (r\/(-36))\/((-1)\/2). Suppose a - 2*d - 28 = -u, 3 = -d. Solve -15 = 3*h + h - x, 5*x + a = -4*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/3 - 28\/(-12). Suppose -53 = -2*s - b. Let g = s - 8. What are the prime factors of g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2 + 3 + 2 - 15*x - 4. Is c(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 8, s: 1, i: 3, t: 1, u: 3, m: 3}. What is prob of picking 1 t and 1 p?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 10, e: 4, f: 2, t: 3}. Give prob of picking 1 f and 1 r.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -126 - -44. Let n = 35665 + -35747.123. Let q = n - u. Round q to two decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -94655044 divided by -6\nAnswer: 47327522\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1406, -1375, -1322, -1241, -1126?\n\"Answer: p**3 + 5*p**2 + 9*p - 1421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56 - 48. Let i be ((-4)\/56*4)\/(8\/56). Sort 2, h, i in decreasing order.\nAnswer: h, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*f - 39*f + 34*f to the form t*f + g and give t.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 5*c + 1. Let x be v(4). Let w(d) = -d + 10. Let q be w(8). Suppose q*s - 4 = 10. Calculate the highest common divisor of s and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -777c13 (base 15) to base 3.\nAnswer: -101201101220200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s*s**(2\/9)*s)\/s))\/(s**8*s)*s**(-14)*s*s**0\/s assuming s is positive.\nAnswer: s**(-209\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -7e (base 15) in base 8?\nAnswer: -167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/6)\/(-2)*116\/(-696).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 132829231\/12 - 11059276. Let w be (19666\/1)\/(2*1). Let t = w - s. Find the common denominator of t and 57\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48337 is divided by 3080?\nAnswer: 2137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 28. Let p = t + 9. List the prime factors of p.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 671 - 581. What is the highest common factor of 24 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-134)\/(-1)*1 + (1153\/3459)\/(1\/15)?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 19*(-28)\/36 + 2\/(-9). Let k = -4 - r. Let b(q) = 165*q + 32. Is b(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -1\/4, 2.7666?\nAnswer: 2.7666","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*d**5 + 11*d**4 + 1546*d**3*i + 2*d*i + 29806218*d wrt d.\nAnswer: 60*d**3 + 132*d**2 + 9276*d*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 87 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.1 - 0.1. Let s = 2 - f. Is 0.3 less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 20*l**2 - 27*l. Let o(b) = -19*b. Determine z(o(h)).\nAnswer: 7220*h**2 + 513*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 6*g = 8. Let a(b) = -4*b**2 - 6 + 8*b + 2*b**g + 3*b**2 - 2*b**2. Determine a(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4044\/5 + 808. Suppose -12 = 3*o - o. Let m be 4 - o\/(3 + -2). What is the nearest to -2 in 0.5, b, m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 6*o**2 + 500*o + 6153. Let f be k(-15). Let q = 3 + 1. Let m be 0 - (q + -2)\/1. Sort 5, m, f, -1 in increasing order.\nAnswer: m, -1, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1158, 1162, 1166, 1170, 1174?\nAnswer: 1178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-5) + (-99)\/45. Calculate the remainder when 7 + (-2 - -2) - w is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 383 + 1489651.2384\nAnswer: 1490034.2384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3 + (2 - 2 - 1)*(-1 + 2 - 3))*(-10*q**4 - 48*q**4 - 2*q**4).\nAnswer: -240*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -110 or -16261\/148?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/(-88) + (-20)\/(-11). Let j = 2 + g. Suppose 0 = -3*z - j + 16. Solve z = -2*c + c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of 0*z + 4 - 1\/3*z**3 + 3*z**2. Let i be d(6). Solve 4*g - 9 - 3 = i for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -8 + 3 + -10 - (1 - 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of w**5\/12 + 65*w**4\/12 - 45*w**3\/2 + 62*w**2 + 2. Determine a so that d(a) = 0.\nAnswer: -27, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46600838 to the nearest integer?\nAnswer: 6826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 3*q + 10, -4*n + 13*q = 9*q + 16. Solve -2*c + 4 = -j, n*c - 3*j - 4 = j for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**2 - 4*s + 2. Let j be o(3). Let c(y) = 68*y + 5. Let h be c(j). Suppose k - h = -2*u - 177, 0 = 5*k - 10. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*i - 7. Suppose 2*w + 432 = i*s, 2*w - 16 = -18. Does 43 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-15)*(-104470)\/(-1348).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 271*y - 8 = 269*y. Suppose 0 = -j - 3*r + 18, -3 = -y*r + 9. Calculate the remainder when j is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -10011011110101110?\nAnswer: 10011011110110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 92*l**2 + 255*l - 1082. What is o(-89)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three tenths of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/76 + 39\/76. What is the second smallest value in p, 4, -7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 967307?\nAnswer: 11, 47, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 7*t + t)*(3*t + 0*t - t)*(-45*t + 151*t**3 + 52*t - 152*t**3 + 16).\nAnswer: 8*t**5 - 56*t**3 - 128*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 94699 and -62.\nAnswer: 94637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.082137 and -617.\nAnswer: -50.678529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -6*(sqrt(2299) + (sqrt(2299) + 5 - sqrt(2299))))*6.\nAnswer: -396*sqrt(19) - 174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 14676?\nAnswer: -1\/1223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -36, -30?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 52, 126, 200, 274?\n\"Answer: 74*s - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.17141 centuries to years.\nAnswer: 417.141","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -11111000110101?\nAnswer: -11111000110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2068*i + 22041 = -21387 for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1268 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 5*u = 59889, 3*u + 1445 = -4*d - 58434. Let t = -8811 - d. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*v**2 + 0*v**3 + 0 + 0*v - 1\/3*v**5 + v**4.\nAnswer: -v**2*(v - 2)**2*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4652365?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (11 + -15 - -4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1550 * -0.07.\nAnswer: 108.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4bc3d5 (base 14) to base 9.\nAnswer: 4813825","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 + -24. Suppose 5*j - 3*v - 16 = 0, 0 = -3*j - v + 9 - o. Solve j*q + 6 = -0*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4551 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.924978103 to two dps.\nAnswer: 1.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, f: 2}. What is prob of sequence ifi?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1563 + 1591. Suppose 2*j - 840 = -2*j. Suppose -t = 2*t - j. What is the highest common divisor of d and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 55*v**3 - 4680*v**2 + 26915*v - 35550 = 0.\nAnswer: 2, 45\/11, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 170, 306, 442, 578?\n\"Answer: 136*r + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*q**3*x**3 - 831*q**3*x + 2*q*x**3 + 77*x**3 wrt x?\nAnswer: 12*q**3*x + 12*q*x + 462*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 2*u + 35 = 0, 12211061 = 5*k + 10*u + 12210826 for k.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177199 is divided by 29532.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 34*x**4 - 11059*x**3 + 2*x**2 + 1043616?\nAnswer: 136*x**3 - 33177*x**2 + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 - 25. Suppose -t*d + 5*d - 12 = 0. Which is bigger: -3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 8:44 PM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*w + 1559 = 92, 7317 = 5*s - w. Suppose 0*n = 11*n - s. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/4*((-260)\/50)\/13?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3*f = 9, 0*l + 4*f - 12 = 2*l. Let r = 0 + l. Let c = -21.2 - -21. Put c, r, 2 in ascending order.\nAnswer: c, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-354 + 277 + 180)*(3*r - 3 + 3) + 2*r + 0*r - r + (-2*r - 2*r + 2*r)*(-3 + 1 + 0) - r - 4*r - 2*r.\nAnswer: 307*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ic when two letters picked without replacement from {c: 1, i: 1, f: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 688 and 1?\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.16? (a) 1\/2 (b) -2 (c) -1\/2 (d) 30\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -441 - -793. Suppose -q = 24*q - 800. What is the highest common factor of a and q?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 8, -79, 22?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 6*t**3 + (-2*t**3 + 4*t**3 - 3*t**3)*(0 + 1 - 2) - 23*t**3 - 79*t**2 + 79*t**2)*(0*t**2 - 4*t**2 + 3*t**2).\nAnswer: 16*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + x - 1. Let j(q) = 10*q**3 - 3*q**2 - 6*q - 8. Let t(l) = -i(l) + j(l). Suppose -5*g = 5*f - 10, -4*f - 3*g + 3 = -7. Is t(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50 + 52. Let u(s) = 0 + 5*s + 2 - g*s + 5*s. Let v(o) = -7*o - 2. Give 6*u(h) + 7*v(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*r - 6. Let y be (-8)\/12 + (-1*r)\/6. Are -4 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 3*s + 2, -5*x + s = -47 + 5. Suppose v + x = -17. Let j = 42 + v. Solve -2*k - 4*n + 7*n = j, -5*k - 10 = -n for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2586279, -5172557, -7758835, -10345113, -12931391?\n\"Answer: -2586278*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12677063?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100473 divided by 4.\nAnswer: 100473\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7289592 divided by 444?\nAnswer: -16418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1577706 and 67574?\nAnswer: 2938","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -4, -1, 15, -2 in descending order.\nAnswer: 15, -1, -2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -z - 2*z. Suppose -5*f - 16 = a, f = -f + 2*a - 16. Let n = f + z. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of 1\/2*c**2 + c**3 - 3\/10*c**6 - 7*c + 2\/3*c**4 - 3\/10*c**5 + 0. Let f(k) = 0. What is k?\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**2 + 2*p**2 - 3*p**2 - 6*p - 7. Let s be k(7). Suppose s = 5*y - 84 + 19. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1302 (base 4) to base 16\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1982 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**4\/3 + 206*t**3\/3 - 3467*t**2 - 21424*t\/3 - 10816\/3 = 0 for t.\nAnswer: -1, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e9be5 + 20?\nAnswer: -e9bc5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -1\/34 (c) -0.8 (d) -5 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 2.9. Let o = m - 6.9. Let u = 7 + o. Which is bigger: 2\/5 or u?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 15 + 22. Let h be 3\/(-6)*o + -3. Which is the second biggest value? (a) -0.3 (b) -4\/9 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u + 7*i - 17, 7*u + 82*i - 97 = 77*i for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*f - 185 = -4*f - 33 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34443 is divided by 902.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wdd when three letters picked without replacement from djcwjcdw.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/2 less than or equal to -76573?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18681 by -3.\nAnswer: 6227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -20 - 9 - 16.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 17.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/(f**5*f))\/f)\/f)\/f)**(-1\/49) assuming f is positive.\nAnswer: f**(8\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -0.196803?\nAnswer: 3.196803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + (-4 - -9) - -35. Find the second derivative of -9*t**3 - 2770 + i*t**3 - 2*t + 2741 wrt t.\nAnswer: 168*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of u**4\/12 + 9*u**2\/2 + 11*u. Determine p(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 359*u. Let t(o) = 2*o**2 + 3*o + 51. Let w(i) = -11*i**2 - 17*i - 289. Let q(h) = -34*t(h) - 6*w(h). Determine b(q(s)).\nAnswer: -4*s**4 - 718*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 9:41 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -12983 and 1043.61.\nAnswer: -11939.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u = 32*u + 559 - 527 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -l**6\/90 - 7*l**5\/120 - l**3\/3 + 5. Let q(w) be the third derivative of b(w). Find the second derivative of q(m) wrt m.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*x**2 + 4 - 5*x**2 + 0.\nAnswer: 2*x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -805, -1597, -2377, -3145?\n\"Answer: 6*w**2 - 810*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -66 + 130. Let b = x - 31. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -21. Calculate the lowest common multiple of m and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from avaavvvvvvv. What is prob of sequence av?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*n - 2 = -n, 2*n - 3 = t. Suppose t*m - 12 = 3*m. Solve 0 = 2*j - m*j + 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**2 + 2 + 98*x**4 + 76*x**2 - 32*x**4 - 33*x**4 - 32*x**4 in the form t + s*x**3 + c*x**4 + g*x**2 + j*x and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 4:39 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 260, 501, 726, 935, 1128?\n\"Answer: -8*q**2 + 265*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(1\/3)\/l)**10\/(l**(1\/3)\/l**(2\/3))*(l**(-11)*l\/l**4*l)**37 assuming l is positive.\nAnswer: l**(-1402\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 5*i - 2. Let w(d) = -d**2 - 8*d - 6. Let u be w(-7). Let c be h(u). Find the third derivative of c*b**3 + 3*b**2 + 8*b**3 - b**3 + 2*b**2 wrt b.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10258 and 364382?\nAnswer: 8380786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**18\/m*m*(m*m*m*m**(-5\/9)\/m)\/m assuming m is positive.\nAnswer: m**(166\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-41)\/(-246))\/(1\/(-6)). What is the nearest to -2\/5 in n, 6, -4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - j - 1. Let l be (1 + 1\/(-1))\/2. Suppose 2*u + l*u = -2. Let p be (u - -3)\/2 - -1. Determine x(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 89 = -3*d, 0 = -3*w + 10 + 2. Is 19 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*r**3 + 13*r**3 + 21*r**3.\nAnswer: 15*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -570, -883, -1234, -1623?\nAnswer: -2050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -7, 272, 297 in decreasing order.\nAnswer: 297, 272, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14190?\nAnswer: 2, 3, 5, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 2*i + 4. Let q(p) = 2*p**2 - 3*p - 5. Suppose 3*w + 4 = 2*z + 9, -5*w - 21 = 4*z. Determine z*f(l) - 3*q(l).\nAnswer: -2*l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -12.48564259 + -2595\nAnswer: -2607.48564259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001731299 to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 5*w**2 + 3*w - 4. Determine a(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -18, -42, -66, -90?\n\"Answer: -24*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 235.64 + 75.26. Round o to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*t + 5*q = -85*t + 14, -19 = -10*t - 3*q for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 8 - -8) + (4 - (0 - -3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -805683\/2344 or -343?\nAnswer: -805683\/2344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 101476349 and 408?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-12)\/24)\/(5\/2))\/((-36)\/40).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h. Let i(f) be the second derivative of -f**3\/6 - 80*f + 2. What is i(s(z))?\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 4:53 AM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 91 = 4*a. Suppose -a*l = -1401 + 36. Let c = l - 77. What is the greatest common divisor of 21 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*l - 640 = 65*b - 68*b - 5*l, 2*b = b + 4*l - 75 - 53 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -309 at most as big as -302?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.0784 (b) 0.54 (c) -0.04 (d) 4 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - n = -3, 0 = 31*o + 299*n - 302*n + 9 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a century?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2084\/(-88570))\/(324\/(-153)).\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 2) + (1 + -3 - -3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7908.9 + -7909. What is the nearest to y in 0.2, -4, 1\/104, -3?\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 493 a factor of 132817669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 1381 = -3099. What is the greatest common factor of 144 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201765007 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/25)\/(-5 + 19\/5). Which is the third smallest value? (a) 4 (b) 1\/5 (c) 0.02 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2587 equal to 160461\/62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (46 - 100) + 58 + (-4 - -2 - 94).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, u: 3, r: 3, l: 1, w: 1, z: 5}. What is prob of sequence owuz?\nAnswer: 5\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 976 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2385 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2472)\/84)\/103*7\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37572\/10 + 264\/330?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 3:18 AM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-42)\/(-56))\/((-12)\/(-1454416)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-7) - 48\/21. Let i(s) = -14*s + 4*s + 0 + 4*s**2 + 15*s + 4. What is the lowest common multiple of i(p) and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1293, 2577, 3859, 5139, 6417, 7693, 8967?\n\"Answer: -j**2 + 1287*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 540836, 1082147, 1623458?\nAnswer: 2164769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 16*p - 561 = 0. Let j = 29 + p. Let s = -4.1 + 4. What is the second smallest value in j, -4\/5, s, 2\/13?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l + 1. Let k be a(4). Suppose -o = 3*z + 13 + 2, 3*z = -15. Put o, 4, k in increasing order.\nAnswer: o, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(539) - 4*(sqrt(539)*-1 - sqrt(539))) + 5*sqrt(539)*-1 + 6*(3 + sqrt(539)*-4))**2 + 5.\nAnswer: -5040*sqrt(11) + 215924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - w - 3. Let a be y(3). Let k = 25 + -20. Factor 0 + 0*f - 1\/2*f**2 + 1\/2*f**4 + 1\/2*f**k - 1\/2*f**a.\nAnswer: f**2*(f - 1)*(f + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 283 + 593. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -3*q, 449*q = 3*h + 446*q + 15 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 590464?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2734921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10206 - 4392. Is c a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -66? (a) 5 (b) 13 (c) -1\/6 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40395227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 + 9*i + 6. Let h be j(-10). Suppose 7*p - 19 = h. Solve p*n - l = -0*n + 12, n = -3*l + 12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1637265.\nAnswer: 3, 5, 7, 31, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y + 8*y - 4*y.\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 71515 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 145.4 + -133. Let r = 17 - i. What is r rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 + -30. Suppose -n + 76 = 74. Let b be (c\/3)\/(n\/(-6)). Solve l - 9 = -4*f + 2, 5*f - b = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -3c9?\nAnswer: 3c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**2 - o**2 - 1726*o + 11158*o - o**2.\nAnswer: -3*o**2 + 9432*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 1583*i**2 - 108*i + 506. Is r(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1850 divided by -5\nAnswer: -370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m - 16. Let w = -17 - -24. Let f be d(w). Suppose -3*k + f + 1 = 0. Solve -k*u - 1 = 9 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -198*j - 135. Let q(c) = 98*c + 69. Let s(d) = 4*l(d) + 7*q(d). What are the prime factors of s(-7)?\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3*2)\/(-1*9\/(-60)). Let s be (x + -4)*(-8)\/12. Let m(v) = -v - 13. What is the remainder when m(s) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1704?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*i = -74, -h + 21 = -4*i + 68. Suppose k = -2*k - 126. Let j = h - k. Solve 0 = -6*b + j*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -174, -554, -1268, -2430, -4154?\nAnswer: -6554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 7*w**2 + w. Let v be k(-1). Let y(j) = -j + 3. Let u be y(-21). Calculate the highest common factor of u and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.7 and 480185.\nAnswer: -1776684.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from wwwwbbwbbwbww?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 0 + 0)*(-u + u + 6*u)*(10*u - 40 + 40).\nAnswer: -60*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122702 divided by -2.\nAnswer: -61351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*w - 4*w - 8. Suppose -6*b + w*b = -2*p - 374, -2*b = 5*p - 169. Calculate the remainder when -3*(1*b)\/(-4) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + z = -5*v - 1320, 4*v - 1042 = -2*z. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 91bb?\nAnswer: 9203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -937, -918, -899, -880, -861, -842?\nAnswer: -823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44*y**5 + 174*y**6 - y**2 + 31*y**5 - y - 105*y**5 + 2*y**4 + 39*y**5 + 125 wrt y.\nAnswer: 20880*y**3 + 540*y**2 + 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 64*q**2 + 3*q - 2. Let f be a(1). Let k = 70 - f. Calculate the greatest common factor of k and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.42 + 0.42. Which is the third biggest value? (a) -8 (b) v (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 266070 to the nearest 1000.\nAnswer: 266000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 105346539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -21 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 5:43 PM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 27785 and 0.9466615138?\nAnswer: 27784.0533384862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 128311485?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 14*j**2 - 19*j - 2. Give g(8).\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1052*r**4 - 1265*r**4 + 2691*r**4 + (4 + 1 - 6)*(-3*r - r**4 + 3*r) to the form w + g*r**4 + t*r + a*r**2 + d*r**3 and give g.\nAnswer: 375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1910323675?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/39, -0.5, -0.3, 5 in decreasing order.\nAnswer: 5, 5\/39, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.02 less than 0.1?\nAnswer: 6.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 433751532 divided by 447628\nAnswer: 969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 34 = -151. Does 14 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10866047 and 1112.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, d: 2, z: 1, k: 2, i: 2}. Give prob of picking 1 d and 1 k.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 554310 and 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/35*9954\/316?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 2*i**3\/3 + 2*i**2 - 198*i + 3902. Let k(a) = 0. Calculate a.\nAnswer: -11, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-110)\/5*((-1 - 2) + 1). Let v(l) = -i + 3*l**2 - 5*l + 32 + 10*l. What are the prime factors of v(-10)?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 908?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 88 - 78. Suppose h*x - 902 = -x. Let f = 205 - x. Is f a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7522, 7520, 7518, 7516?\nAnswer: 7514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -1949848\/9 and -216649 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*i - 56*i - 132 + 477 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 337055 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 54907 and -0.4?\nAnswer: -21962.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -2942\nAnswer: -2\/1471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3146414*q**3 - 3381836*q**2 wrt q.\nAnswer: 18878484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 10*w**3 + 7*w**2 - 6*w - 4. What is the least common multiple of 18 and d(2)?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833)*-3 + -3 + 3 + (-2*sqrt(5100))\/sqrt(3)*2)**2.\nAnswer: 63257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 + 2*v**2 - v**2 - 2*v**2 + 2*v**2 - 2*v**2 + (3 + 0 - 6)*(-2*v**2 + 3*v**2 + v**2) - v**2 + 2*v**2 + v**2 - 2*v**2 - v + v)*(-3*v + 3*v - v).\nAnswer: 10*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -16 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -102997 * -0.04.\nAnswer: 4119.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50 and 36620.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1140, 4420, 9870, 17484, 27256?\nAnswer: 39180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/40 of a kilometer?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -44559077 = -44559080?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 1086 = 1007. Find the third derivative of -k*n**2 - 90*n**3 + 0*n**5 + 92*n**3 + 3*n**5 wrt n.\nAnswer: 180*n**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 8 + 56 = 0. Suppose 7*r - 5*r - d = 3, 3*r = -5*d + 37. Solve -r*v + 33 = 5*p, -2*v = 4*p - 0*p - u for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2216999.4s to minutes.\nAnswer: 36949.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4 = 3*o + 2, -3*o + 6 = 3*n. Let k be (282\/(-18) + o)*-12. Which is smaller: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/((-4235)\/(-30)))\/((-45)\/105).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 126766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 7*x**2 - 20*x - 44. Let m be p(11). Calculate the highest common factor of 106 and m.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 61909568 and 48643232?\nAnswer: 681005248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 31147688 a multiple of 1672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 11101010111 (base 2) to base 15\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -r**4\/12 + 2*r**3\/3 + r**2\/2 - 95*r - 76. Let c(p) be the first derivative of b(p). What is c(6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(2178) + 1)*4 + sqrt(2178) + 2*(sqrt(2178) + 1 - sqrt(2178)) + (-4 + -3*sqrt(2178))*6))**2.\nAnswer: 15444*sqrt(2) + 368406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 20*v**4 - 212*v**3 + 320*v**2 - 12*v. Let m(h) = 8*h**4 - 85*h**3 + 128*h**2 - 5*h. Let o(d) = 12*m(d) - 5*n(d). Factor o(x).\nAnswer: -4*x**2*(x - 8)*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of 1\/14*z**7 - 1\/2*z**4 + 1\/2*z**6 + 9\/10*z**5 - 7\/2*z**3 - 9\/2*z**2 + 0 + 26*z. Factor x(m).\nAnswer: 3*(m - 1)*(m + 1)**3*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19579101*m**4 - 12*m**3 - m**2 - 639001*m - 48?\nAnswer: 469898424*m - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 461*w**3 + 111*w**2 + 60*w**2 + 7*w**3 - 171*w**2.\nAnswer: 468*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/2635 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2 + -8 - -7) + (40 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 7*q - 2. Let r be (-3 + 0 - -15)*1. Suppose w + 2*h = -2*h - r, -3*h - 48 = 4*w. Let j = -7 - w. Determine i(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 1:48 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 23*c - 39. Let b be p(2). Let t(y) = 4*y - 19. Let n be t(6). Solve -n*j - 2*a + 20 = 3*a, b*j = -a + 6 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 14 + 4 = -5*x, s = -4*x + 8. Suppose 2*y - 3*q + q = 0, -2*y - q - 15 = s. What is the nearest to -5 in y, 2, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -54.778771.\nAnswer: -219.115084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51 + 52. Which is bigger: -2\/23 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 831*y = -841*y - 98, 59*y = -2*f + 56*y - 26 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iifiiifivfvffvf. What is prob of sequence ii?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -32604 divided by -44?\nAnswer: 741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.2, -2\/9, -8, 5, 4832 in increasing order.\nAnswer: -8, -2\/9, 0.2, 2, 5, 4832","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 1732?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 2)*(15*m + 8*m + 4*m) - 5*m - m + 4*m to y*m + w and give y.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 505\/59 - 20183\/3068. What is the common denominator of 25\/286 and r?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 2*k**2 + 1. Let v be g(-1). Suppose 4*j + 155 = -49. Let q = j + 50. Is q at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 322669.37269 - 35.\nAnswer: 322634.37269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(1\/4)*w**0*w*w**(-1\/4)*w*w**(1\/6)*w assuming w is positive.\nAnswer: w**(19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 13860900 to the nearest 100000.\nAnswer: 13900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 0, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 4\/127, -73, 1.25?\nAnswer: 1.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7783147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 70870078?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 2531774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -575?\nAnswer: -172.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 414.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -3. Let x(j) = -j**2 + 3*j + 2. Let s be x(5). Let r be ((-2)\/(-20))\/(2\/s). Which is the nearest to 1? (a) r (b) 1\/2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -565\/12 + 269\/12. What is the common denominator of o and -149\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 389820143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2370431*h + 44*h**2 + 1185217*h + 1 + 1185214*h.\nAnswer: 44*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-63)*4\/(-2)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 4*y**2 - 3*y + 1. Let r be k(2). Suppose -z - o = r*o - 40, 45 = 2*z + o. Suppose -z = v - 3*v. Is v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6867259?\nAnswer: 7, 981037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/(-9)*-63*(-28)\/686.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 1:42 AM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389057 is divided by 193191?\nAnswer: 2675","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -m**4\/4 - m**3 + 2*m**2 - 5*m + 56. Suppose y = -4 - 0. What is t(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140559 + 2630.44?\nAnswer: 143189.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - ((30 - (-51 + 116)) + 1 + 2 + 1).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6626895*-0.4.\nAnswer: -2650758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - g + 13 = 0, a = 4*a - 2*g - 54. Let h = a + -10. Let z(w) = 5*w + 2. What are the prime factors of z(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 1 - 3*g**2 - 3 + g + 12*g**2. Let t be d(1). Suppose 0*w + 2*w - t = 0. Solve w = 2*q, 0*h - 5*q = -h - 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2 = 3*y - y, a - 1 = -4*y. Solve -1 - a = -i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10015 divided by 1?\nAnswer: 10015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5810 and 528710.\nAnswer: 528710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 30, 103, 220, 387, 610, 895?\nAnswer: 1248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 50*f**3 + 570*f**2 + 2142*f + 2646.\nAnswer: 2*(f + 3)*(5*f + 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 751 - 673. Is l not equal to 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00053846545 to seven dps.\nAnswer: 0.0005385","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 455*l - 460*l + b = -69511, 0 = 3*l - 2*b - 41708. Is 21 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 3*z**2 - z - 2. Suppose -u = -3*o - 1, 0*o - 3 = 3*o. Give x(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**17\/a**(-11\/6))**(-17\/5) assuming a is positive.\nAnswer: a**(-1921\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*f**5 + 2195*f**4 - 5130*f**3 - 9935*f**2 + 16210*f - 3360 = 0. What is f?\nAnswer: -112, -2, 1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 572845126 to the nearest integer?\nAnswer: 831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18171 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 17367?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 4:53 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q + 25, 7*x - 4*x + 12 = -3*q for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 981.9141mm?\nAnswer: 0.9819141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50432, -50429, -50426, -50423, -50420?\nAnswer: -50417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3079898 is divided by 513296?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jr when two letters picked without replacement from rrrrrrrrrjrrr.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 + 99. Suppose 0 = l - j - 14. List the prime factors of l.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 12) to base 13\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 1152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 50 = 5*l, 0*u + 2*l = u + 16. Let n be 75\/u + 1\/4. Let x be 1 - -3*n\/27. Which is bigger: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -13 (b) -0.1 (c) -6.94\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 16*t - 19*t. Differentiate 6*x**2 + t - 3 + 5 - 1 with respect to x.\nAnswer: 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 7 + 3 = 0. Let r be 6\/(-4)*(-30)\/t. Solve -4*w + 7 = -r for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 532655636?\nAnswer: 5859211996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 116*t = 113*t - 16, 23 = 5*l + t for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 73 - 3. Suppose -d - d + h = 0. Suppose 2*v + 1 - d = 0. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14569, -29148, -43729, -58312, -72897?\nAnswer: -87484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 578*j + 610*j + 468 = 1152*j for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1655943674, 1655943675, 1655943676, 1655943677, 1655943678?\n\"Answer: n + 1655943673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + 1)*-1 - sqrt(76)\/sqrt(36).\nAnswer: -4*sqrt(19)\/3 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 12*v + 14. What are the prime factors of h(-6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2869 by 20.\nAnswer: 2869\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-6)*s*s*s*s**(2\/47) assuming s is positive.\nAnswer: s**(-139\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 159835314 a multiple of 1831?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 125083 and -0.13.\nAnswer: 125082.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -122*v**4 + 52*v**4 + 77*v**2 + 3*v + 20*v - 79*v**2 + 1 in the form y*v**2 + x*v**3 + z*v + s + a*v**4 and give a.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9875 + -15560. Let z = -5685.75103 - s. Let x = z + 0.75. Round x to 4 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 17*a**2 - 11*a - 16. Let t be z(-18). Let y = t - 331. Let w = -122 + y. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8510 + 9264. Calculate the smallest common multiple of p and 54.\nAnswer: 20358","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -114, -237, -358, -477?\n\"Answer: o**2 - 126*o + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 188 - 188.3. Suppose 0 = -h + 3*d + 18, 5*d + 13 + 87 = 4*h. Sort h, 3\/2, x.\nAnswer: x, 3\/2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 341035 divided by -12\nAnswer: -341035\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166 - 433 - 5*f - 9*f**2 - 9*f.\nAnswer: -9*f**2 - 14*f - 599","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120293579.\nAnswer: 7, 19, 129209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28527184574 + -28527184575.9199999847. Let s = l - -1.92. Round s to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oloohahhhokaoihh. Give prob of picking 3 o.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**2\/3 - 2737*c\/3 + 87730 = 0. What is c?\nAnswer: -2830, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 1390*m + 6948. What is w(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25389*x + 21*x**4 + 1 + 25389*x + 5*x**2 wrt x.\nAnswer: 504*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z. Let q be x(-4). Let r(a) = 19*a + 4 - q. Calculate the remainder when r(1) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/1 - (-280 - -303)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1764, 3549, 5322, 7077, 8808?\nAnswer: 10509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**2 - 3*w - 12. Let m be i(-2). Let z(o) be the first derivative of -o**4\/2 + o**3 - o**2 + 2*o - 1. Calculate z(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209589052 < 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - p - 4*u - 20 = 0, 0 = 2*p - 3*u - 13. Let v(f) = f**p - 16*f**2 - 4*f**2. Let j(c) = -12*c + 9*c + 10*c - 8*c. Give v(j(i)).\nAnswer: -19*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 8*f - 54. Let p be q(7). Let l(b) = 69 - 2*b**p - 135 + 0*b**2 + 66. Let h(s) = 3*s - 9. Calculate h(l(g)).\nAnswer: -6*g**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 140119.45 to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - m - 1 - 11 = 33, -4*w - 167*m = -176*m - 85 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1265 (base 16) in base 10?\nAnswer: -4709","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 7 = 3*l, -4*k - 2*l + 5*l - 23 = 0. Let m(u) be the second derivative of -u**5\/20 - u**4\/3 - 5*u**3\/6 - 7*u**2\/2 - 9*u. Is m(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m*v**2*y**2 + 8*m*v**2*y - m*v**2 - m*y - 14*v*y**2 - y**2 wrt v?\nAnswer: -2*m*y**2 + 16*m*y - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 249940775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 18234165 to the power of 1\/2, to the nearest integer?\nAnswer: 4270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 divided by 1?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of 1\/15*m**6 + 0*m**4 + 1\/5*m**5 + 0 - m**2 - 2\/3*m**3 - 3*m. Let a(q) = 0. What is q?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -4*s**5\/5 + 632*s**4 + 51564*s**3\/5 + 16688*s**2\/5 - 458288*s\/5 + 77376 = 0.\nAnswer: -15, -4, 1, 2, 806","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 57, -1, -1877, 8 in decreasing order.\nAnswer: 57, 8, 5, -1, -1877","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4073210425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3*t**2 - 2*t + 2. Let i(h) = 4*h**2 - h + 2. Calculate -3*i(d) + 2*m(d).\nAnswer: -6*d**2 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1))**(5\/12)\/(r**(-2\/13)*(r*r**3)\/r) assuming r is positive.\nAnswer: r**(-509\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 35? (a) -19\/116 (b) -1 (c) -1193\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 14*r**2 + 60*r + 2. Calculate u(12).\nAnswer: 434","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of 2*x**3\/3 + 37. Let p(y) = -12*y**2. Calculate m(p(a)).\nAnswer: 288*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1663, 6246, 13313, 22396, 33027, 44738?\n\"Answer: -78*p**3 + 1710*p**2 - p + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5162 and 1335.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of f**4\/4 + 4*f**2 - 225. Let k(g) = -4*g. Let r(o) = 4*o. Let v(i) = -6*k(i) - 5*r(i). What is v(t(c))?\nAnswer: 24*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -1d09775?\nAnswer: -1d0977a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*a - 3*a**4 - 5*a + (-4*a + 5*a + a)*(5 + 12*a**3 - 5) to the form q*a + b*a**2 + j + d*a**3 + y*a**4 and give y.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -157 - -353. Is 14 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3*(-1 + 3*(sqrt(832) - (sqrt(832) - sqrt(832)*2)*-5)*5*2))**2.\nAnswer: -5760*sqrt(13) + 107827201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/35*7\/(-14)*-4.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1810295 to the nearest integer?\nAnswer: 1345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 2\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/84 and 97\/294?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3701385 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -3, -5*g + 10*p - 5*p = -30. Let j(o) = -o**3 + 9*o**2 - 2*o + 8. Does 23 divide j(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2049 - -3379. Is g a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 121\/3 - 4\/12. Suppose 0 = -i - 4*i + 50. Calculate the greatest common divisor of m and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 469 is divided by 95.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10725 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7060, 7061, 7062, 7063?\n\"Answer: o + 7059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of k**5\/120 - k**3\/3 + k. Let y(u) be the second derivative of z(u). Let q(f) = 3*f + f - 2*f. Calculate q(y(c)).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d - 1374 = -5*d. Let v = -181 - d. Is v a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10 - (-1720)\/170) + (-2044)\/34. Let g be 1\/4 + 51\/m. Which is the nearest to 2\/5? (a) 2\/5 (b) 0.26 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 82 and 592491.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1*r)**(-2\/25)\/(((r\/(r*(r\/(r*r\/((r\/(r*r**(4\/5)))\/r)))\/r))\/r)\/r**(-1\/2)) assuming r is positive.\nAnswer: r**(-173\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v - 56. What is w(32)?\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 9*p**3 + 18*p**2 + 10*p - 31. Let a(k) = -20*k**3 - 37*k**2 - 20*k + 63. Let r(u) = 4*a(u) + 9*h(u). List the prime factors of r(-8).\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/6118 and -109\/2128.\nAnswer: 48944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3403, 13599, 30601, 54415, 85047, 122503, 166789, 217911?\nAnswer: 275875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**6 - 1375*g**3 - 4*g**2 + 9*g - 22?\nAnswer: 120*g**3 - 8250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 20*o**3 - 13*o**2 + 30*o. Let g(w) = -21*w**3 + 15*w**2 - 32*w. Determine 4*g(y) + 5*h(y).\nAnswer: 16*y**3 - 5*y**2 + 22*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**2 + r + 1. Let n(k) be the first derivative of 4*k**3\/3 + k**2\/2 + k + 7. Let a(p) = 5*g(p) - 4*n(p). What is a(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 40, -1\/5, -2, -2\/115?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -90 - -84. Let x(b) = -14*b**2 - 4*b + 20. Let l(d) = 5*d**2 + d - 7. Let a(g) = 11*l(g) + 4*x(g). Determine a(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*v**5 - 19424*v**4 - 23541856*v**3\/5 + 18880128*v**2\/5 - 3779136*v\/5 = 0. Calculate v.\nAnswer: -486, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 13 + 65 = 3*t, -6 = 3*u. Let s = t + -11. Does 2 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 9*v - 4 = 0. Suppose 2*m = -3 - 3, 3*h - 255 = -v*m. Suppose 4 = -2*q - 2*q, 3*u = -4*q + h. Does 13 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/697 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24\/9*-6*7. Let l = 94 - u. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kdhyhhdakhkkhhkyah. What is prob of sequence ddak?\nAnswer: 1\/3672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 188, -147, -0.05, 1\/6 in ascending order.\nAnswer: -147, -2, -0.05, 1\/6, 188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00028513174 rounded to six dps?\nAnswer: 0.000285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 16.67242 litres?\nAnswer: 16672.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2. Let g(m) = -m**3 - 6*m**2 + 2. Let u be (-2)\/20*-12*-5. Let r be g(u). Let b(d) = -r*d**2 + 10*d**2 - 4*d**2. Determine b(f(y)).\nAnswer: 16*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67098, 57478, 41450, 19020, -9806?\nAnswer: -45022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2470 is divided by 805.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(-3 - 44)*-1. Suppose 98 = z - i. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20882588.7 rounded to the nearest ten thousand?\nAnswer: 20880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*d**4 + 42*d**2 - 42*d**2)*(-4 - 2 + 5)*(-6*d + 4*d - 3*d).\nAnswer: -40*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 45 + h**2 + h**2 - 260 + 0*h**2 + 27*h + 57*h wrt h.\nAnswer: 4*h + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -15*s + 17. Let p(y) = -5*y + 6. Give 4*h(t) - 11*p(t).\nAnswer: -5*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -1 + 2*i**3 - i**3 + 2. Let y = -8 - -15. Suppose -3*g = -y*g + 4. Determine z(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-3))\/((-29)\/((-609)\/(-56))).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1 + (sqrt(500)*3)**2)*3.\nAnswer: 13504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 25*c + 1. Let v(l) = -227*l. Determine g(v(o)).\nAnswer: -5675*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j. Let t(p) = 2*p - 398. Determine t(m(f)).\nAnswer: 2*f - 398","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**3 + 283449*y**2 - 850374*y = 0. Calculate y.\nAnswer: -94486, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0837 to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3277782.\nAnswer: 2, 3, 182099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0)**0\/(h**(2\/5))**(1\/12)*((h*h*h**(2\/3))\/((h*h**(-3\/8))\/h*h))**(-2\/9) assuming h is positive.\nAnswer: h**(-263\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*q = 132, 2*q = 2*l - 2*q - 264. Let o = l + -64. Let r be o\/((-4)\/24*-3). What is the highest common factor of r and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23964745?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 378451415 and 2885?\nAnswer: 2885","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 88459 - 7970. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -203, -26, -2 in increasing order.\nAnswer: -203, -26, -9, -2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 + 6*l - 17. Determine a(0).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 109*p**3 + 0*p - 2123*p**2 - 110*p**3 - 6*p - 4 + 2128*p**2. Calculate f(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/3 at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13152 + 105219\/8. Which is the biggest value? (a) -0.3 (b) m (c) -0.08 (d) -3 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 132*k - 708. Give a(5).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -6.5. Let n = 3363 + -3363.3. Let j = -8.07 - -8. Which is the fourth biggest value? (a) i (b) n (c) j (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 231, 556, 893, 1248, 1627, 2036, 2481?\n\"Answer: u**3 + 318*u - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(88)*2)\/sqrt(8))**2 - sqrt(11)) + -1)*3 - (sqrt(99) - (sqrt(99)*-2 + sqrt(99))*-3)\/(sqrt(72)\/(sqrt(8)*-2)).\nAnswer: -7*sqrt(11) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11.1 * -21554.\nAnswer: 239249.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 442 - 661 = -i. List the prime factors of i.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20654015 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*g - 27. What is the tens digit of (-8)\/g + 328 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oac when three letters picked without replacement from cacffhohhhfhfo?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 869926800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y - 37*y**3 - 2*y - 9*y + 7*y**3 - 19*y**3.\nAnswer: -49*y**3 - 15*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9506687 is divided by 4753338?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1176 divided by -294\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - l + 2016 = 83, f = 3*l + 493. Does 12 divide 3 - (2 + 2 - f) - -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 546087862?\nAnswer: 2, 6997, 39023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (110\/8 - 1)*(-3168)\/(-72). Suppose -2*g = o - 11255. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of 50 + 0*q - 15\/4*q**4 + 5\/6*q**6 - 5*q**2 + 25\/3*q**3 - q**5. Factor u(s).\nAnswer: 5*s*(s - 1)**3*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -6*i + 387. Calculate the remainder when i is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 w when four letters picked without replacement from {f: 5, n: 1, k: 4, w: 4, s: 2}?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1757210.377 to the nearest one hundred.\nAnswer: -1757200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 19 = 4*o, -4*p + 3*o + 11 = 4*o for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16542.9 and 5.1?\nAnswer: -84368.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1\/(j\/(j\/(j*j**(-5)*j))*j))**(3\/7) assuming j is positive.\nAnswer: j**(9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/160 and 67\/224.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t**3 + 11*t**2 - 6*t - 15. Let d(p) = 8*p**3 + 33*p**2 - 18*p - 49. Let v(l) = 4*d(l) - 11*g(l). Give v(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/22 - 225765\/(-55) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 553, 2224, 5011, 8914, 13933, 20068, 27319?\n\"Answer: 558*p**2 - 3*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.399613 and -0.15721.\nAnswer: -0.556823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4 - 33356948*u**3 - 139085847555146*u**2 - 834514184693496*u - 1251770826721608.\nAnswer: -2*(u + 3)**2*(u + 8339234)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 plus -259763.81491?\nAnswer: -259799.81491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 15. Solve 0 = 2*t + 2*t - 3*l + 8, o*l + 2 = -t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.05 at most 536?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 44\/88*(-4)\/(-1)*5. Solve -3*z + q = -p, -5*p + 78*z = 83*z - 30 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/9*(-2)\/((-2)\/(-15)). What is the highest common factor of c and 190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -128 - -125. Which is the closest to -1? (a) -0.1 (b) 0.3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -20052, -160373, -541272, -1283037, -2505956?\n\"Answer: -20048*l**3 - l**2 + 18*l - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -9*w - 14. Let d be -2 + (-47)\/6 - 15*12\/1080. Determine j(d).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13252 (base 7) in base 5?\nAnswer: -103230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 238\/63 - (-4)\/18. Suppose 0 = -s + x*s - 6. Solve s*o = r + 1, -4*r + 5*r = o - 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -272 - -279. Let r = -9 - -14. Let b(f) = -7 + f**2 - 8*f + r + 7. Calculate b(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 114.\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 54244688 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: -0.1 - 8696\nAnswer: -8696.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 5*a. Let f(v) = 132*v + 327. Let t be f(-6). Let y = t - -468. Put 1, y, a in decreasing order.\nAnswer: y, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1473888221?\nAnswer: 13, 3889, 29153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/8*8\/260)\/(457\/(-914))?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14640113 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -68, -112, -162, -218?\nAnswer: -280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a millennium in centuries?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*l**4 + l**2 + 2 + 63*l**4 - 6*l**3 - 28*l**4 in the form x*l**3 + j*l**2 + u*l + c*l**4 + v and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -661*t. Let l(c) = 409*c + 1. Determine l(g(h)).\nAnswer: -270349*h + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 82 - -4414037484\nAnswer: 4414037566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 4 = -2*q + 3*z, 0 = 2*q + z - 6. Suppose -3*l - 4*w = -22, -q*l + w = -1 - 3. Factor l - 2 + 2 + 4*g - 3*g**2 + 5*g**2.\nAnswer: 2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4*g - 17 - 7 = 0, -5*g + 45 = 5*c. Let l = c - -16. What is the smallest common multiple of 10 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 13*u + 2. Let x be l(5). Suppose 3*s - 90 = i, s + i - x = -16. Is 8 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 + 28. Let f(h) = -j + 5 - 1 - 1. Let z(t) = t. Calculate -f(c) - z(c).\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-7) - 0)\/(31 - 25641\/882)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 23657 (c) 0.0704\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18878\/5 + -3762. Let a = b - 456\/35. Determine p, given that -256\/7 + 192\/7*p + a*p**3 - 48\/7*p**2 = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 128 - 94. Suppose -a - l + 8 = 0, 2*a - 6*a = 5*l - o. Let v(w) = w**3 + 8*w**2 + 7. Let j(t) = 2*t**3 + 15*t**2 + 13. What is a*j(c) - 11*v(c)?\nAnswer: c**3 + 2*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 18 + 6 + -12.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, t: 6, v: 1, j: 4}. What is prob of picking 1 t and 1 j?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(2\/17)*y)\/(y**(-3\/5)*y))\/((y*((y*y\/(y*(y\/(y*y\/(y*y**22)))\/y)*y)\/y*y)\/y)\/y*(y\/y**20)\/y))**(-2\/25) assuming y is positive.\nAnswer: y**(-6922\/2125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 11. What is the smallest value in i, 5, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1892)\/520 - -3 - 24\/(-40)?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -1\/36*h**4 - 1\/6*h**2 + 0 - 2*h - 1\/9*h**3. Solve w(f) = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 1\/2*w**2 - 1\/4*w**4 - w + 2 + 1\/3*w**3. Determine z, given that h(z) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26118 + 40596. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**3 + 15*a**2 - 2*a - 3. Let m(i) = i**3 + 7*i**2 - i - 2. Let u(b) = 5*m(b) - 2*x(b). Let j be u(-5). Which is smaller: 3\/7 or j?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248 is divided by 64.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifteen quarters of a milligram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 1062*w. Let j(x) = x. Give r(j(o)).\nAnswer: -o**2 - 1062*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2019*m + 5. Let k(l) = 404*l - 1. Let i(u) = -2*a(u) - 11*k(u). Is i(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14003)\/(-33)*(-3)\/1. Let l = t - -1801. Is 33 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/13, -0.3, -0.06, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -42 + 44. Let g(s) be the third derivative of s**6\/720 + s**5\/60 - 5*s**4\/6 - 9*s**2. Let x(o) be the second derivative of g(o). Determine x(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*l + 54 = -84 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 - 26.34. Let t = m - 0.66. Which is the nearest to -0.1? (a) -4\/9 (b) t (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -191*g**5 + 209*g**2.\nAnswer: -11460*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -277 + 279. Suppose q + 2 - 4 = -s, -y*q = -s + 2. Solve 4*a + 1 = -2*z + 3*a, q = 3*a + 15 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -124, -254, -402, -550?\nAnswer: -680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 19 - (16 + (9 - 12) + -1 + -7).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/5685918 and 163\/11371836.\nAnswer: 11371836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4\/3))**9 assuming v is positive.\nAnswer: v**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*n**2 + 15 + 12 + 9 - 36.\nAnswer: -89*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 161, 697, 1581, 2813, 4393, 6321?\n\"Answer: 174*g**2 + 14*g - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*h - 23 - 13 = 0. Is (90*(-265)\/40 + h)*-4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 0*j**2 - j**2 + 7*j**2. Let f(u) = 11*u - 19*u + 44*u + 3289 - 3289. What is w(f(q))?\nAnswer: 7776*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 663 and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2069315 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/15 + 2 + 8\/6. Let j(l) = y*l**2 - 6*l + 2 - l + 13*l. Let r(q) = 8*q**2 + 17*q + 6. What is 11*j(n) - 4*r(n)?\nAnswer: n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -18, 3, 48, 123, 234?\nAnswer: 387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7646 in 0, -29\/4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-52)\/(-3))\/((-28)\/(-210)). What is the highest common divisor of 26 and d?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 8430700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 0*w + w)*(w - w - w**3) - 10197*w**4 - 12522*w**4 + 20190*w**4.\nAnswer: -2531*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**3 + 3*o**2 + o + 1. Let c be b(-2). Let p(d) = -d - 7. Let q(l) = -l - 6. Give c*p(x) + 6*q(x).\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 27831683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293 is divided by 99?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, f: 7}. What is prob of sequence kkf?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}