diff --git "a/data/dm_maths/full_data_1/1404_11255.jsonl" "b/data/dm_maths/full_data_1/1404_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1404_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate the remainder when 4414 is divided by 69.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 11:02 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.55 times 2330?\nAnswer: 22251.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*2)\/(4\/(-2)*(-66)\/(-12)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -361265 - 315638 = -52*r + 6949. List the prime factors of r.\nAnswer: 13151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*m + 89728 = 126*m. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -v**8\/84 - 4*v**7\/105 - v**6\/30 + 4*v**2. What is w in a(w) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1)*a)\/a*a)**(-4)*(a\/(a\/(a*a**(-3)))*a)\/a**(2\/7)*(a\/a**(-1\/5))\/a**(4\/7)*(a**(-1)*a)**(-40) assuming a is positive.\nAnswer: a**(-23\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/12*(-2 - 13\/(-2)). List the prime factors of ((-2504)\/6)\/((-28)\/(-12) + s).\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 45\/51 + 1 + 15\/(-17). Suppose 5 = g + l, 2*g - 26 = -y. Calculate the remainder when y is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -28 - (-10 - -21)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 253 and -10228.\nAnswer: -2587684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(3\/5)\/(a\/a**(-6))*a*a**1*a\/a**4*a)**(-3\/4) assuming a is positive.\nAnswer: a**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30.969 + -0.031. Let f = q - -31.36. Let w = f - 3.36. Which is the biggest value? (a) 2.2 (b) -2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*t = -t + 110, -3*d + 80 = t. Suppose 63 = -6*r + d*r. Solve -3*p = -r - 9 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-58)\/(-48))\/(9\/38133). Let g = s + -5114. Find the common denominator of g and (-6)\/72*-4*19\/(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31739.9 + 0.21.\nAnswer: -31739.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 67, 132, 193, 250, 303, 352?\n\"Answer: -2*y**2 + 71*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -b**2 + 9. Let r(v) = -23*v**2. Give k(r(i)).\nAnswer: 46*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-7\/4)\/(q*q**0))**(-2\/71)*q**(-7)*q**(-1\/4)*(q\/q**(-2\/7))**6 assuming q is positive.\nAnswer: q**(1077\/1988)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (-177)\/(-21) - (-76)\/133. Suppose 4*o - 172 = -2*z - z, 2*o - 54 = -z. What is the greatest common factor of z and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-3) - (44\/12 - 4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -187.88 + 200. Let w = 21.03 - y. Let g = -0.09 - w. Is g < -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5477 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0458 * -0.2.\nAnswer: 0.00916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 + 0.1. Let g be 4\/(106\/9 + (-32)\/(-144)). Which is the closest to g? (a) 5 (b) 0 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of 0*q**3 - 1 + 1\/6*q**6 + 0*q + 3\/2*q**2 + 0*q**5 + 0*q**4. What is the second derivative of h(w) wrt w?\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5340 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1336771 to the power of 1\/2, to the nearest integer?\nAnswer: 1156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8616, -9892, -12018, -14994, -18820, -23496, -29022?\n\"Answer: -425*x**2 - x - 8190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c + 98. Let a be 36\/(-60)*(-40)\/(-1). What is x(a)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 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: Expand (2*k - 3*k + 2*k)*(3 + 3*k - 3)*(15 - 17 + 55).\nAnswer: 159*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44 and 27\/8 - 6\/(-24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -80.5491709565 - 0.4508273235. Let r = b - -81. What is r rounded to 7 decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, -5, -22517, 10 in decreasing order.\nAnswer: 10, -3\/5, -5, -22517","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-9)*a\/((a**(3\/2)\/a)\/a)*a)\/(a**(-15)*a**(1\/13)) assuming a is positive.\nAnswer: a**(245\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 9993 - y + 7*y**3 - 10038 + 2*y**4 - 3*y**3 as k*y**2 + p*y**4 + s + j*y + f*y**3 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -372 - 396 = 96*p. Let x(g) = -7*g**2 - g**2 - 2 - g + 3 - g**3. Calculate x(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -5*u**2 + 12*u + 5. Determine g(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 4*o**5\/5 - 718*o**4\/5 + 1776*o**3\/5 - 212*o**2 - 356*o\/5 + 354\/5 = 0.\nAnswer: -1\/2, 1, 177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -133 + -3323014?\nAnswer: -3323151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*t - 93*t = 0, t = 2*c - 14 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 13*v**2 + v - 46. Let g be w(12). Calculate the greatest common factor of 10 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 + h**3 - 6*h**2 + h + 11*h**2 - 5*h**2 as c + l*h + g*h**3 + q*h**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -0.3 (c) -0.02 (d) 0.06 (e) -14 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6988 + 198*h**2 + 6988)*(-3*h**2 + 4*h**2 + h**2).\nAnswer: 396*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h - 38. Let r(p) = -3*p + 41. Let b(q) = 4*c(q) + 3*r(q). What is b(-18)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*l**3 - 22*l**3 + 72*l**3 - 25*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -148 - -119. Let f = p + 171. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -74947 (base 10) to base 4\nAnswer: -102103003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -11 + 12*q + 1 + 18*q. What are the prime factors of y(3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -13. Let g = 0 - y. What is the remainder when g is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 27 + 45. Let x = -91 + 94. Is (-2140)\/y - x\/18 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4\/5 + 2772*k**3\/5 + 91152*k**2 + 5296320*k + 104198400.\nAnswer: 2*(k + 60)**3*(k + 1206)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*p - 5*p - 4*p**3 + 10*p - 1 + 3*p**4 to w + x*p + h*p**3 + z*p**4 + m*p**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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: Which is the third biggest value? (a) 2\/15 (b) -1.05 (c) 2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of u**8\/588 + 2*u**7\/147 - 23*u**6\/70 + 57*u**5\/35 - 18*u**4\/7 + 5019*u**2. Let g(k) = 0. What is k?\nAnswer: -12, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 12) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 1:17 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -7. Let r = 1.29919 + 0.16081. Sort 4\/3, r, -2, j in increasing order.\nAnswer: j, -2, 4\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11149*t = -11148*t - w - 6, 24 = 4*t + w for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6014804 * 2.\nAnswer: -12029608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1995\/1197*(-2337)\/95?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 17.9631 and 1.6.\nAnswer: 28.74096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 3*f - 1)*(3 + 0 - 2) + 2*f + f - f + 4 - 4 + f)*(-2 - 3 + 2)*(-7 + 1 + 2*f**2 + 5) to s*f**3 + h*f + m*f**2 + x and give s.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 4:07 AM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 5 - 32. Calculate the lowest common multiple of f and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7414\/2259 + 15\/251. Let k be 3\/18 + (-843)\/(-18). Let w = -25 + k. Find the common denominator of w and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -4, -0.06, 0.02.\nAnswer: -4, -0.06, 0, 0.02, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -210 + 221. Let o(n) = -n**3 + 10*n**2 + 14*n - 21. Let m be o(h). Solve 0 = -f + 4*z + m, -z - 32 = 3*f + 4*z for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20423853?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -230\/3*m**2 - 1\/3*m**3 - 904\/3 - 908\/3*m.\nAnswer: -(m + 2)**2*(m + 226)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 + 32. Solve -3 = -3*r + q*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -62818.\nAnswer: -1\/31409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -0.4 (c) -0.07 (d) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 517 (b) 6\/5 (c) 1\/2 (d) 0 (e) 3\/7 (f) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94164 is divided by 703?\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5350 = 64*r + 37*r - 2528. Let q = 2 + -2. Suppose q = y - 5*y + 104. Calculate the highest common factor of y and r.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12, 28, 94, 186?\n\"Answer: 13*o**2 + o - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven eighths of a millennium?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10333 (base 6) to base 7\nAnswer: 4104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 7:42 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*d**2 + 34*d**3 - 155*d**3 - 3*d + 75*d**3 in the form o*d**3 + x*d + f*d**2 + a and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11564949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -6. Suppose c = -0*n - 3*n + 150. Calculate the highest common divisor of 5 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y - 30. Give s(-51).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 2*q**2 - 2*q + 3. Let o be b(-3). Suppose o*a = 2*a - 6. Calculate the remainder when 4 is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 472, 949, 1426?\nAnswer: 1903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 328?\nAnswer: -327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, q: 9}. What is prob of picking 1 q and 2 c?\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 9:50 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d = 2*d - 30. Suppose -3*o + 41 + 13 = 0. Calculate the remainder when o is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 12:46 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/6)*p**(-23)*(p**(-3)\/p)**(-23\/2) assuming p is positive.\nAnswer: p**(137\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138142 >= 1138143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 930.\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -q - 2*d, 2*q - 2*d - 6 = -4*d. Suppose -3*h + 8 = -q*h - 2*z, -5*h + 5*z + 15 = 0. Is 0 less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(2\/7)\/j)\/j**(-8\/5))**(2\/163))**(-24\/5) assuming j is positive.\nAnswer: j**(-1488\/28525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.4 - -2.6. Let d = y + -19. Sort -2\/7, d, -0.5.\nAnswer: d, -0.5, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -11*z - 1. Let v(i) = 5*i + 10 - 190 + 180. What is 2*m(t) + 5*v(t)?\nAnswer: 3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = z + 4*n, 0*n + 10 = z - 2*n. Let a be (-1)\/(z\/(-6)) + 3. Let j(i) = i**3 - 5*i**2 - 5*i + 7. What is the units digit of j(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, 0.3, 1\/3, -532, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4215*o - 87 + 4215*o - 4*o**2 in the form s + f*o**2 + d*o and give s.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*a = -10375 + 1095. Let p(o) = 21*o + 2. Let v be p(-6). Let b = a + v. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/2*2\/(-18). Let j = -1.7 + 1.3. Which is the smallest value? (a) g (b) j (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 20 = -2*o - 18, 0 = 3*f + 4*o - 50. Let g = f - 4. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/8 + (-10)\/72. Let f(n) be the second derivative of 0 - 2*n + 0*n**2 - 1\/9*n**3 + s*n**4 - 1\/30*n**5. Factor f(m).\nAnswer: -2*m*(m - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76.93083 centimeters to micrometers.\nAnswer: 769308.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -79*j - 2 + 337*j**4 - 71*j + 152*j + 2*j**3 to k*j**3 + n*j**2 + s*j**4 + r + m*j and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-966)\/(-28))\/23*4\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 2\/3 (c) 1 (d) -287\/3 (e) -3\/2 (f) -1 (g) 0.38\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**8\/(a\/(a**(2\/21)*a))*a\/(a*(a*a*a*a**(-1))\/a)*a*a*a\/(a\/a**11)*a assuming a is positive.\nAnswer: a**(443\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 30456?\nAnswer: -30459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 491, 1801, 4031, 7187, 11275, 16301?\n\"Answer: s**3 + 454*s**2 - 59*s + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(68) + 5*((sqrt(68) + sqrt(68) + 2*sqrt(68) + sqrt(68) - sqrt(68)) + sqrt(68)))*3*4)\/(4*sqrt(20)\/(sqrt(240)\/sqrt(12))))**2 + -2.\nAnswer: 413710","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8b5 - 61?\nAnswer: 854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -310*f**3 + 535*f**3 - 242*f**3.\nAnswer: -17*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 128389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (210\/40)\/7*40\/(20\/4)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + 3 + 1 + 25\/(-5). Solve -4*y + d - 25 = u, 0 = 2*y - 5*d + 49 - 14 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 196 divide 161504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -4, 32, 0, 248, 4 in increasing order.\nAnswer: -4, 0, 4, 6, 32, 248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -334, -791, -1420, -2215, -3170, -4279, -5536?\nAnswer: -6935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 0.2, -1\/6, 69131, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/6 of a hour?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*g - 33*g - 123*g as p*g + v and give p.\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 26*x**3 - x**2 + 6*x + 1. Let s(r) = -53*r**3 + 2*r**2 - 11*r - 2. Let h(f) = 11*i(f) + 6*s(f). Let q(g) = g - 8. Let t be q(7). Does 13 divide h(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -8\/7 (b) -1 (c) 1\/2 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppqpqqpppqqp. Give prob of sequence pq.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.09 in -10, 0.5, 2, 43?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 4:25 PM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-3) + 76\/(-12). Let c be (36\/14)\/(1\/w). Let r = c + 25. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 20\/(-40)*-56?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 26785579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(5\/6)\/r)\/r)\/r*r*r**(3\/11))\/(r*r\/r**(-12)*r*r**(2\/21)*r) assuming r is positive.\nAnswer: r**(-7849\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-251)\/(137799\/(-732))*((-260)\/(-248) - 1).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125632965.\nAnswer: 3, 5, 661, 12671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 4*b = 78, 0 = -6*t + 7*t + 3*b - 26. What is the remainder when 54 is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 11:14 PM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28994502?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 80.38 - 98.6. Let n = y - -0.22. Let t = n + 18.000046. Round t to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -66 less than -82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 233 in 22, -1, 3?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s - 17491 + 75507 = 0. List the prime factors of s.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*c**4*o + 4*c**4 + 2*c**3 - 11*c**2*o - c*o + 6*c wrt c.\nAnswer: 456*c*o + 96*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 13*a - 185. Calculate n(25).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c + 0*c + 6*c.\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 0 + sqrt(275) + sqrt(275) + 4)**2.\nAnswer: 120*sqrt(11) + 1136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 332120243?\nAnswer: -332120241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1188 and 396.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5 = -1. Suppose -9 = -3*h, -j*t + 5*h = -14 + 45. Let n(x) be the third derivative of -x**5\/60 - x**4\/6 - x**3 - x**2. Give n(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.058 * 47\nAnswer: -2.726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 555.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -38 - 34. What is the greatest common factor of 8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2234 + -8937\/4. What is the second smallest value in -0.3, a, -1.6, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -403574, -807146, -1210720, -1614296, -2017874, -2421454, -2825036?\nAnswer: -3228620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from arrrirrrr. Give prob of sequence ia.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 6*z**2 - 128*z - 1519375. What is n(514)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or 32305?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1126213465.\nAnswer: 5, 13, 1332797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u**(3\/4)\/u)*u*u*u**6)\/(u**7\/u*u**(9\/2)\/u) assuming u is positive.\nAnswer: u**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66367 and 2922144?\nAnswer: 388645152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 13*i + 42. Let z be -1*((-10)\/(-2) + 0). Let x be o(z). Solve -2*j + 6*j + 2*l - 16 = 0, l = x*j - 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 889 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -223, -449, -675, -901?\nAnswer: -1127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/q**(-2)*q)*q)\/q)**(-22)\/((q**(2\/5)\/q)\/q*q\/(q*q\/(q*q**(-1))))*(q**1)**(-4\/5)\/((q*q\/((q*q\/q**(-7))\/q))\/(q*q**(-8))) assuming q is positive.\nAnswer: q**(334\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 10*g**2 - 571*g - 2736. Determine h(-5).\nAnswer: 369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-35*34\/(-119))\/(18\/3)*12\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -49*u**4\/18 - 938*u**3\/27 - 256*u**2\/9 - 8*u + 42. Factor d(n).\nAnswer: -2*(n + 9)*(7*n + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 62 - 14?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence isv when three letters picked without replacement from {s: 2, v: 2, c: 1, i: 1, n: 1, j: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2 - t + t**3 - 15*t**2 + 4*t + 5*t. Is p(16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 154*q**2 - 4*q - 1. Suppose -k = z + 34, z + 4*k + 62 - 13 = 0. Let a = z + 26. Is g(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137.13 times 100.5?\nAnswer: 13781.565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3\/2 - 75*p**2\/2 + 282*p - 624.\nAnswer: 3*(p - 13)*(p - 8)*(p - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71 + -24 + 11 + 38 + 1.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32231422 (base 5) to base 4.\nAnswer: 1002321003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millimeter in nanometers?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -92.5 - -92.53. Suppose 2*c + 26 = 4*b, -3*b - 4 + 1 = 3*c. Let r be (-61)\/(-184)*-2 + 3\/b. What is the smallest value in r, -4, y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4696413, -4696400, -4696387?\n\"Answer: 13*t - 4696426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of 0*s**3 - s**2 + 1\/330*s**5 + 0*s - 1\/66*s**4 + 2 + 1\/660*s**6. Let r(o) be the second derivative of a(o). Factor r(h).\nAnswer: 2*h*(h - 1)*(h + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.07 + 0.23. Let h be 10\/80*(-1 + -1). Which is the second biggest value? (a) -1 (b) h (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*i**2 - 8*i**2 + 7*i**3)*(-2496*i - 45 - 5055*i + 10 + 37) as d*i**4 + f*i**3 + z + a*i**2 + q*i and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 3?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = q - 4*i, -11*q = 4*i - 1232 + 943 for q.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 - 111111100101?\nAnswer: -111111011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3800 and 1600.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.04, -66, -256?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of 5\/12*l**4 - 4*l + 5*l**2 + 0 - 5\/2*l**3. Suppose q(z) = 0. Calculate z.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 10:49 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/4550 and 49\/110.\nAnswer: 50050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51586.\nAnswer: 2, 25793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - 5*j + 14. Let l be r(-7). Suppose -2*o + 584 - 150 = l. Suppose 3*y - o = 218. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229003639 is divided by 27?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 100.02438 and -26.\nAnswer: 74.02438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 + 1.2. Let f = 1 - b. Let g(p) = p. Let d be g(4). Put -2\/5, d, f in decreasing order.\nAnswer: d, f, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o - 2*o + 13*o + (-5 + 5 + 2)*(3*o - 5*o + o).\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -10*a**3 - 10*a**2 + 8*a - 1. Let z be 36\/(-3)*(-6)\/(-9). Is b(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-18)\/(-10))\/((-3)\/(-15)). Suppose -j - l = -2*v, 5*v - 2*v - j - 11 = 0. What is the second derivative of -6*b**4 + b + v*b**4 + 12*b - 5*b wrt b?\nAnswer: -48*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -63*t - 1630. Is o(-50) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 23 + 8 - 2 + 2*g**2 - 2*g to the form d + t*g + p*g**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/26*4\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1556*z + 326*z - 4 = -259*z - 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -1, -7, -5\/6, 1\/8, -3, -2\/5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 413 divided by -7?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/5 of a centimeter?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 2*l = 3*w - 4, 18*l - 16*l - 14 = -2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 4*r + 2, -2*r - 4*b - 1 = -7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 690816 is divided by 518.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -7*p - 4. Let o(h) = 2*h**2 + 8*h - 7. Let l be o(-7). Let n be l\/(-10) - 2\/4. Let d(a) = -6*a - 3. What is n*d(k) + 3*q(k)?\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 1\/3)\/((-6)\/7967871). Let m = -2760638 + v. Round m to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + -12705035.9407168.\nAnswer: -12705036.2407168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4 + -2*sqrt(972) + sqrt(972) + sqrt(972) + 4*((sqrt(12)\/sqrt(4))**2 + -5)) + 0.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = d - 3*x - 22, 5*x + 86 = 4*d. Find the second derivative of -d + 23*t**5 - 26*t**5 + t + 41*t**5 wrt t.\nAnswer: 760*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5673388 divided by 202621?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*a - 158*a = 702 for a.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/4 + 31905\/(-6). Let d = 74415\/14 + j. What is the common denominator of d and 77\/6 + -5 + 3?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -146, -123, -78, -5, 102, 249?\n\"Answer: p**3 + 5*p**2 + p - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -da (base 15) to base 10\nAnswer: -205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49187\/11 or -4471?\nAnswer: -49187\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.91 + -1.851. Let w = -31\/6 + 9\/2. What is the biggest value in r, w, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mbivvmwmvmmb. Give prob of sequence wi.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -735 + -50430?\nAnswer: -51365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8 from -1607.\nAnswer: -1599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of q**4\/12 - q**3 - 9*q**2\/2 - 16*q. Let k = 9 + -2. Let g be o(k). Are g and -3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46 - -39. Let n(x) = 4*x**3 + 4*x**2 - 7*x - 7. Let a(h) = -h**3 - h**2 + 2*h + 2. Give o*a(r) - 2*n(r).\nAnswer: -r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-12)\/14 - -1)*2)\/((-94 + -122)\/(-36288))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 + 37 = -2*r + 9*b + 22, -2*r + 16 = 157*b - 155*b for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mbmmxbdsms. Give prob of picking 2 m and 1 s.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 0 + sqrt(117).\nAnswer: 5 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -7105003 - (-21 - -9 - -9). What is g rounded to the nearest 100000?\nAnswer: -7100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -6. Let w be 66\/14 - 8\/(-28). Solve 3*k - v*t + 18 = -7*t, -w*t = 25 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -5*m - 3. Determine i(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-26)\/8 - 3\/(-12). Let k(c) = -2*c - 1. Let g be k(v). Suppose 3*l - g = -m, -3*l - 17 = -6*m + 5*m. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2741 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 4*n + 6. Let k be w(6). Calculate the greatest common factor of 20 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-4\/29)*g**(9\/2)*g)\/(g*g*g*g**(-8)*g)**31)**27 assuming g is positive.\nAnswer: g**(202581\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4440.\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -18*d + 7\/12*d**4 + 1\/20*d**5 + 0 + 5\/6*d**3 - 4*d**2. What is m(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 4*w**2 - 4 - 3*w**2 - 7*w**4 - 5*w**3 - w**2 to t*w**2 + m + s*w**3 + a*w**4 + n*w and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 35*y**2 + 195*y - 1. Let t be v(-7). What is the greatest common divisor of 2802 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000063 rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3188\/5 + -637. Let y = 60 + -55. What is the closest to -0.12 in q, y, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8127175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.3 + -17. Let q = t + 9. Which is smaller: -0.11 or q?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**4 - 3252*z**3 + 641091*z**2 + 1945992*z + 1301652 = 0 for z.\nAnswer: -1254, -2, -1, 173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -9. Let w(f) = f**2 - 4*f + 3. Let q be w(2). Which is the biggest value? (a) q (b) v (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1498332 = 11*b - 11820468. What is b rounded to the nearest ten thousand?\nAnswer: 1210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 b when four letters picked without replacement from {b: 2, g: 1, q: 6, l: 3, u: 2, a: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of x**6\/120 + 7*x**5\/60 + 11*x**4\/24 + x**3\/2 - 3*x**2 + 7*x. Let h be a(-3). Solve -h*c = 10 + 8 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 4*i - 13. Let v be z(-9). Suppose 0 = -2*t + 4 + v. Is 9 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18319 divided by -7?\nAnswer: -2617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 6*j**2 + 6. Suppose 0*o - 18 = -3*o. Let b(m) = 8 + 2*m**3 + 9 - 5*m**3 - 17*m**2. Determine o*b(f) - 17*g(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-1 - 0) + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 514 - 1877*l**2 - 137*l**2 - 218 + l - 144*l - 278 wrt l?\nAnswer: -4028","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m**3 - 29*m**2 - 10*m + 9. Is p(21) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-18) - (-24301)\/114. Solve -33*c + 18 = -x for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 303*w + 14. Let h be y(8). Let s = -21538 + h. Round s to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13273753 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 323966, 323967, 323968, 323969?\n\"Answer: y + 323965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + -7. Suppose 0 = 2*b + 19 - 5. Let k = -18 - b. Is s smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 = -13*i - 13 - 38 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - 49 - -23 - 14?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 186235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 145399 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2e (base 16) to base 5\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 472199 is divided by 94187.\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53 - -44. Let x = 6 + g. Which is the nearest to -2\/5? (a) -2\/9 (b) x (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b + 11. Let i be m(-5). Let t(z) = 14*z - 1. Determine t(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000145099 rounded to 5 dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 6*m**3 + 19*m**2 - 525*m - 84. What is s(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5*s = -a + 29, 3*a - 21 = -3*s. Suppose -a*m = -0*m - 16. Let i = 81 - m. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -17*n - 1. Let u be 1 - ((-1 - -3) + -2). Let r be (6 - u)*20\/(-25). Is a(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 0*n**2 + 7 - 5*n + n**2 - 2. Let k be 12\/(6 + -3 + -2). Let g(d) = -2*d**2 + 12*d - 12. Let i(x) = k*z(x) + 5*g(x). Let c(h) = h. Calculate c(i(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 1188 = 7*o. Let a be ((-4)\/(-6))\/((-44)\/o). Solve -5*u - 15 = -a*y, -3*u + 2*y - 5 = 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/118 and -115\/3102.\nAnswer: 183018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s + 2*s + 0*s + (-3 - 1 + 2)*(0 + 0 - s) - s + 2*s + 0*s + 5 - 26*s + 9*s + 18*s to the form r + l*s and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.091 or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21054 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36 - -49. Let a(t) = t**2 - 10*t - 39. Let n be a(b). Put -4, 1, -10, n in decreasing order.\nAnswer: 1, n, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3341205 (base 7) to base 6.\nAnswer: -12505550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 770949.4 rounded to the nearest 10000?\nAnswer: 770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 15 + 3*x + x - 12*x + 19*x + 60*x + (x + 4*x - 3*x)*(0 + 0 + 1) in the form n*x + l and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 0.0919 (c) 2\/5 (d) -68 (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 927*i*n**2*o**3 + 43*i*n**2*o + 2*i*n*o**2 + 3*i*o**3 + i + 40*n**2*o + 190*n*o**3 - 4*o**2 - 166 wrt o?\nAnswer: 5562*i*n**2 + 18*i + 1140*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 176, 150, 126, 104, 84?\n\"Answer: c**2 - 29*c + 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-6)*5*9\/10.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 95*y**2 + 1161*y - 3. Let j be d(-11). Calculate the highest common factor of j and 819.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sxj when three letters picked without replacement from kjsxkjxjsxxjj.\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 9 = 8*a. Solve -v = a*k + 11, -5*v - k + 5 = 24 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 12:45 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (86\/44 - 3) + 210\/385. Let l = -7 - -11. Which is the biggest value? (a) -0.1 (b) -4\/7 (c) l (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 13*a**2 - 9*a - 34. Let n(p) = 36*p**2 - 28*p - 95. Let s(m) = 4*n(m) - 11*w(m). Calculate s(14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3 + 6 = 0. Let o = 961\/2 + -471. Let c = o - y. What is the closest to c in -0.3, 0.5, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 125, 23, 2 in descending order.\nAnswer: 125, 23, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -87*f**3 - 3*f**2 - 23*f - 84. Is t(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 514 - 32895\/64. Which is the third smallest value? (a) -4 (b) 5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6519311 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 9*d**2 - d + 1. Let c(l) be the third derivative of -l**4\/8 - 2*l**3\/3 + 3*l**2. Calculate the least common multiple of c(-3) and j(-1).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-25)\/5 - -6)\/((-1)\/(-2)). Suppose -5*p = -4*y - 44, a*p + 2*y = -2*p + 30. Calculate the lowest common multiple of p and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -79, -79, -65, -31, 29, 121, 251, 425?\n\"Answer: b**3 + b**2 - 10*b - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 + -10. What are the prime factors of l?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3468228163 a multiple of 1129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 52180785 a multiple of 506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 4*b + 4*u - 17, 0 = -3*b - 2*u - 1. Suppose b*i = 2*i. Suppose x - 1 - 7 = i. Solve 3*m - 5 = -2*d, -4*m - 3*d = -x*d + 24 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15981043 to the nearest integer?\nAnswer: 3998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 3\/(-9) - (-7205)\/(-393)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -493382 or -493379?\nAnswer: -493382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 + (6 - 3 - 1). Suppose z*s - 9391 - 2369 = 0. Is s a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**0\/(r**(-2)*r)*(r**(-1\/2)\/r)**7 assuming r is positive.\nAnswer: r**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 greater than or equal to -0.06478?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -220 - -224. Let a(s) be the second derivative of s**4\/12 - s**3\/6 - 4*s. Let h be a(2). What is the greatest common factor of h and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-3 + -1 + sqrt(2057))*6)**2 + 3*(-5*(sqrt(17) - (1*sqrt(17) + -4)) + 3).\nAnswer: -3828*sqrt(17) + 74842","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 428.5 to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 974 + -14617\/15. Find the common denominator of l and -68\/27.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 763948 to the power of 1\/4, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13227 - -13407. Is 173 greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.163481 minutes in microseconds?\nAnswer: 429808860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000126794 to six dps.\nAnswer: 0.000127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7120, -7144, -7170, -7198, -7228, -7260, -7294?\nAnswer: -7330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 5*g**2 - 10. What is j(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*l - 153*l = -18 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 45600 to the nearest one thousand.\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -1\/20*j**5 + 1\/2*j**4 + 0 - 59*j - 15\/2*j**2 + 2*j**3. Calculate t(7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 2. Let h = 1.27539 - 3.27539. What is the closest to -0.05 in h, t, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8470, -33976, -76524, -136114, -212746, -306420, -417136?\n\"Answer: -8521*n**2 + 57*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 2*o - 52. Let m(g) = 6*g**3 + 11*g - 260. Give 11*h(p) - 2*m(p).\nAnswer: -p**3 - 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 3, -309, 0.03 in decreasing order.\nAnswer: 3, 0.5, 0.03, -309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(270)\/(1*(sqrt(144) - sqrt(9))))\/((sqrt(96)*1 - sqrt(96))*-2 + sqrt(96) - -2*sqrt(96)*2).\nAnswer: sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -62 - -38. Let h = -33 - n. Let z(l) = l**3 - 2*l**2 - 4. Let j(t) = 2*t**3 - 5*t**2 - 9. Suppose 3*k - 10 = 2. Determine h*z(c) + k*j(c).\nAnswer: -c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*f**3 + 28*f**3 - 8*f**3 + (-2*f**2 - 3*f + 3*f)*(2*f + 2*f - 6*f + 3*f - 2*f + f + (1 + 4 - 4)*(-2*f + 2 - 2) - f + 2*f - 2*f + 0 - f + 0).\nAnswer: 48*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3028, -1\/33, 7, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-60))\/(28\/56).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 1371\nAnswer: 274.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1300*f**2\/3 + 1216799*f\/6 - 78 = 0. Calculate f.\nAnswer: -468, 1\/2600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -1 - 5. Let l(f) = -f**3 + f**3 - 2 + 5*f**2 - 4*f - f**3. Let g(u) = 5*u**3 - 24*u**2 + 20*u + 9. Let z(d) = -2*g(d) - 11*l(d). Calculate z(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11158351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -372 = -11*t - 75. Calculate the highest common factor of t and 657.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 126020.7 months to centuries.\nAnswer: 105.01725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(7) - (sqrt(168) + sqrt(42))\/sqrt(6)) + 4 + (sqrt(1008) - sqrt(1008)*6))**2.\nAnswer: -464*sqrt(7) + 23564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 76*l + 513. Determine u(-6).\nAnswer: 273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 356700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-4))\/((-18)\/(-24)). Suppose -2*z - f = 7, -z + 2 = 2*z - f. Let d = y + z. Let b(h) = h**3 + 3*h**2 - 3*h - 3. What is b(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 917.\nAnswer: 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238*f = 135*f - 180*f + 566 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 93679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 4:15 PM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**3 - 18*h**2 + 24*h - 53. Let x be y(8). Solve x*w - 53 = -9 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*l - 2 = 0. Suppose -l*a = -5*y + 25, 18 = 4*y + 4*a - 2. Suppose u + 2*u = -4*n + 3, -y*n - 4 = -4*u. Solve u + 1 = q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 4:45 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 2 + y**2 + 35831*y + 3.\nAnswer: y**2 + 35831*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3292 = o - 1547, -4*r = 3*o - 14550. List the prime factors of o.\nAnswer: 2, 3, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 40*p**2 - 64*p + 134. List the prime factors of y(-41).\nAnswer: 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 + -29. Suppose 2 = 4*l - f*t, l + l - 4 = 4*t. Let x be ((-3 - -3)\/(l - 1))\/2. Solve 0 = -x*q - 4*q - 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -41\/369063 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - g + 2*g)*(2 + 1 - 4) + (-3 + 6 - 1)*(0*g + 4*g - 5*g) + 1 - 2*g - 1.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of 31*g**5\/15 + 31*g**4\/24 - 2*g**2 + 3. What is the second derivative of o(q) wrt q?\nAnswer: 248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-5)\/w**(2\/3))\/(w\/(w*w**4)*w\/w**3)*(w\/w**(1\/7)*(w\/(w**(-2\/19)*w))\/w)**(-3\/25) assuming w is positive.\nAnswer: w**(674\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 10 - 1. Let g = 1 - y. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51 - 44. Let l(i) = 2*i**2 + 17*i + 5. Let u be l(-8). Which is the closest to 0? (a) u (b) 3\/5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -4266093.\nAnswer: -1\/1422031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-3) + (-220)\/(-12). Let o be (-1)\/3 + 980\/60. Is f bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7033.3 - 7935. Round d to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 35 + 25. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from ehbwhhhebhhbhhhb.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 7*y - 2*y**2 + 13)*(-y - 4*y + 0*y)*(-5 - 1 + 4).\nAnswer: -20*y**3 - 70*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -263 - 2705*j**2 - 258 + 1056 + 210*j**2 - 266 - 268.\nAnswer: -2495*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3205520.\nAnswer: 2, 5, 17, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1278*d - 679*d - 4185 = 692*d for d.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -28635355.2 to the nearest 1000.\nAnswer: -28635000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*k = 34919 + 292. Calculate the remainder when k is divided by 176.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -m**3\/6 - 2*m. Let n(z) = 68*z + 48*z - 114*z. What is n(d(x))?\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, p: 1, y: 10, b: 2, n: 1}. What is prob of picking 1 n, 1 o, and 1 b?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9741153 millilitres in litres?\nAnswer: 0.0009741153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -9*x**3 + x**2 + 5*x - 5. Let p(t) = 4*t**3 - 2*t - 4 - 6 + 19 - 7. What is -5*p(k) - 2*u(k)?\nAnswer: -2*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-6) - (-6)\/(-9). Let j = 5 + m. What is the smallest common multiple of 16 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1408 is divided by 42.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1473 - -1488. What is the greatest common factor of 50 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**3 + p**2. Let u be h(-1). Suppose -11 = -u*o + 34. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 759 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = t - 1, -4*l - l + 5 = 5*t. Which is smaller: 2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -a**3*u + 4*a**3*w**2 - 4*a**3 - 3*a**2*u*w**2 - 3*a*u*w wrt w?\nAnswer: 8*a**3*w - 6*a**2*u*w - 3*a*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (28\/(-8))\/(0 - -8). Let h = l + 241\/624. Let u(t) = t**2 + 101*t + 1144. Let r be u(-13). Is r greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13\/2127 in 5.9, 0.1, 0.2, -3\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -8 - k**2 - 3*k + 1 + 8 + 2*k**3. Suppose -4*l = -5*v - 0 - 3, 0 = 2*l - 2*v - 2. List the prime factors of y(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*a**4 + 16 - 16 - 6*a**4 + 6*a**4 + 11*a**4 - 4*a**4 + 3 - 3 + 3*a**4 - 2*a**4 + 0*a**4 + a**2 - a**4 - a**2 + (-a**3 + 0*a**3 + 2*a**3)*(0 + 0 - 2*a).\nAnswer: -3*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -z**6\/120 + z**5\/5 + z**4 + 10*z**3 - 4*z**2 + 24. Let g be j(14). Let x(i) = -i**2 + i - 2. Determine x(g).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 1 - -3 - -6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -5, -10\/13, -4, -2, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 179, 182, 187, 194, 203?\n\"Answer: f**2 + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w. Let x(k) = 3 - 4*k + 0 - 3. Let r(s) = 15*j(s) + 3*x(s). Let g(z) = 2*z. Give g(r(i)).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -22, -6, -126829 in descending order.\nAnswer: -1, -6, -22, -126829","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yauyyaay. Give prob of picking 2 a.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 94725 and 8544195.\nAnswer: 42720975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 441 - 261. Suppose 9*p - y - 27 = 0. Suppose 4*a - p = 73. Calculate the highest common divisor of a and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1635.89980266 - -1635.9. Round k to six dps.\nAnswer: 0.000197","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/20 and -5 + 4 - (-158)\/16?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iik when three letters picked without replacement from iiikiikk?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 11*o**2 + 11*o - 7. Let z be r(10). Suppose 3*k = 6, -z*f + k + 59 = -4*k. What is the remainder when f is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 0.2 (b) 2 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 478.2362s?\nAnswer: 478236200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-3)*(t**6\/t)\/t)**(-2\/91)*(t**1)**37*(t*t*t*t*t*t\/(t**(2\/5)\/t))**(2\/3) assuming t is positive.\nAnswer: t**(18757\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 56*b - 48*b. Let q be b\/4 - (-10900)\/16. Round q to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 824604408.\nAnswer: 2, 3, 19, 200927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of n**3 - 13. Factor g(f).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 88, 1108, 3888, 9310, 18256, 31608, 50248, 75058?\n\"Answer: 147*u**3 - 2*u**2 - 3*u - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-22) + (-69932)\/396. Let l = m - -177. Which is the smallest value? (a) 2 (b) -4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1538.9663916 - 1533.3364. Let c = 5.63 - s. Round c to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 2195984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -962*n**4*o**3 - n**4*o + 4*o**3 + 2650*o**2 with respect to n.\nAnswer: -3848*n**3*o**3 - 4*n**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-3 + 4) - -3. Let s be (2 - h - 2) + 8. Solve s + 2 = -2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -2152*w**4 + 5906*w - 9250. Differentiate g(i) with respect to i.\nAnswer: -25824*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21.2674 - -0.0274. Let r = a - -20. Round r to 1 dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6655) - 5*-2*sqrt(6655))\/((sqrt(539) - (sqrt(539)*-2 - sqrt(539)) - sqrt(11))*-2))**2.\nAnswer: 73205\/2916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*(2 - (3 + -2)). Suppose 3*m + q*m = 9. Suppose 7*i + 1036 = 1043. Solve -8 = m*x + i for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - b)*(3 - 1 + 0) + 70*b + 73*b + 456*b - 25*b as r + j*b and give j.\nAnswer: 572","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 30, -13, -54, -93, -130?\n\"Answer: t**2 - 46*t + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/(36\/(-8)) - -1. Solve -2*z - 1 = m for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l. Let q(u) = u - 1. Let v be q(-2). Let z be d(v). Suppose z*n - 4 = -1. Solve n = -2*i - 9 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 16*o**2 + 13*o - 3. Determine c(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lmlmfllmfff. Give prob of picking 1 f and 3 l.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 338 - 252. Let h = 86.2 - o. Which is the second smallest value? (a) -1 (b) h (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2109 - 0.0109. Which is the third smallest value? (a) w (b) 17\/5 (c) 2\/7 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 6*l + 248. What is u(-36)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 16) to base 10\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -37. Let j = n + -16. Suppose -j*c = s - 7, c = -0*c + 4. Let a(u) = -5*u - 2. Let l(y) = -y**2 + y + 1. Determine s*a(p) - 2*l(p).\nAnswer: 2*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -142084*k**2. Let o(w) = -16*w. Determine x(o(h)).\nAnswer: -36373504*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 + 26 + -87 + -89?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -120 + 141 + (5 - 5 - -24)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4\/15 (b) 0.8 (c) 366 (d) -24 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.78383 rounded to 2 dps?\nAnswer: -2.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -12*s - 13. Let p(c) = -2*c. Determine f(p(m)).\nAnswer: 24*m - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**3 - 5*t**2 - 7. Suppose 322*n = 311*n + 55. Let y(d) = -2*d**3 + 4*d**2 + 6. Calculate n*v(q) + 6*y(q).\nAnswer: -2*q**3 - q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 9, -5 in increasing order.\nAnswer: -5, -4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 42, 71, 116, 183, 278, 407?\nAnswer: 576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8777 = 4*v - 7007. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 8*y**2 - 13*y + 7. Let z be s(-5). What is the nearest to -2 in z, -2, 2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 10:46 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*h = -38*h + 36. Solve 2*o - 2 = -3*w + 4*o, h = 3*w + 3*o for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*21\/((-630)\/40)*1989\/(-136).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 n when two letters picked without replacement from ggggggnggggggggggg?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**5 - 44020*f**4 - 220138*f**3 - 264188*f**2 + 176104*f + 352240 = 0. Calculate f.\nAnswer: -2, 1, 22015","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 182.2 from -3.\nAnswer: -185.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 78145\/8477 or 8?\nAnswer: 78145\/8477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12934?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -416 divided by -1700\nAnswer: 104\/425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85, -2139, -1, -5 in increasing order.\nAnswer: -2139, -85, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h + 4. Let r(d) be the third derivative of d**4\/24 - d**3\/3 - d**2. Let k be r(5). What are the prime factors of j(k)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84 + (129 - 92) + -154?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1238?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence heg when three letters picked without replacement from ehgtg.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 85219009.8036902 + -85218818. Let k = 210.803692 - p. Let w = k - 19. What is w rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1900) - 3*(-2 + sqrt(1900))) + (0 + sqrt(1900))*3*4.\nAnswer: -12 + 160*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k = -7*k - 210. Let f be 3 + -1 + -15 + 5. Let x = f + k. Calculate the remainder when x is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -146 - -44. Let u = -98 - i. What is the nearest to 6 in u, 5, -2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 10:56 AM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*k - 7 - 12*k - 3 + 1 - 4*k as u + l*k and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -73 less than -71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 58 + -18. Suppose m + 3*m = l. Calculate the remainder when 19 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.6 - 2.3. Let j = 2 + l. What is the smallest value in -2, j, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13.1? (a) -2 (b) 12 (c) 0.1 (d) -0.77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kttkkkkt. Give prob of sequence ttk.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + y = 3*y + 34029, -4*y = 4*d - 27212. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/56 - 30\/24. Which is the third smallest value? (a) 2 (b) 0.08 (c) -5 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -52. What is the remainder when s is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10475, 20465, 30457, 40451?\n\"Answer: n**2 + 9987*n + 487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1103434412 (base 5) to base 7.\nAnswer: -26306301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 221 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of x**6\/360 + x**5\/30 + x**4\/6 + 4*x**3\/9 + 2*x**2 + 607*x. Factor n(r).\nAnswer: (r + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m + 1. Let q(a) = 16*a + 30. Calculate -q(t) - 2*v(t).\nAnswer: -20*t - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -34*g**2. Let p(f) be the first derivative of -2\/3*f**3 + 0*f - 55 + 0*f**2. Give m(p(l)).\nAnswer: -136*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 4. Put -0.1, 2\/7, z in ascending order.\nAnswer: z, -0.1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, -5, -0.5, 0 in descending order.\nAnswer: 0.04, 0, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 8:14 AM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/4)\/1*(-56)\/(-14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/7 + 12*v\/7 - 13\/7.\nAnswer: (v - 1)*(v + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.53462623 - 0.5346. Round v to six decimal places.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 5*d**2 - 9*d. Calculate the remainder when 1714 is divided by a(7).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 - 2*l + 1. Let h be u(2). What is the third derivative of 38*c**3 - c**6 - h*c**2 + 47*c**2 - 80*c**2 wrt c?\nAnswer: -120*c**3 + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/8981729 or 0?\nAnswer: -8\/8981729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kukk when four letters picked without replacement from {a: 4, u: 6, k: 5}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/10*4\/(-24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14881604?\nAnswer: 2, 3720401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/4 and -97\/374?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -560b + -3?\nAnswer: -5611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, 0.7, -1\/127, -3, -14?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 2. Let g(r) = 2*r + 14. Let w be g(-11). Put h, 5, w in increasing order.\nAnswer: w, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 16*h + 18. Let n be y(15). What is the units digit of n*(0 + 3\/(12\/244))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 - 5a575?\nAnswer: -5a564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/1174 and 77\/42316.\nAnswer: 24839492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 13, v: 3}. Give prob of picking 1 f and 3 v.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1449?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1340819 to the power of 1\/3, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1925*t**3 + 890*t**3 - 3576*t**3 + 759*t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2477306*o**4 - 188*o**2 - 2*o + 123.\nAnswer: 59455344*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 3*u**2 + 4*u + 2. Let t be 2\/(-5) + (-22)\/(-5). Let l be o(t). Find the first derivative of 3 + l + 2*a**3 - 4 wrt a.\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-1600)\/(-15))\/(-8))\/((-6)\/7317) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 128*y**2 - 293*y + 365. What is the hundreds digit of o(-128)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**3 + 0*v**3 - 2*v**2 + 2*v + 14*v**3 - 8*v**3 to t*v + x*v**3 + m + f*v**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 11, 20, 41, 80, 143, 236, 365?\n\"Answer: m**3 + 2*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 3*i - 1. Let c be 0\/(-2 + (-2 - -2)). Let o be 1 + 1 - (-2 - c). What is r(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 4:09 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8404.8829 + 8385.8829671. Let h = f + 19. What is h rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 10*u - 6. Let a be i(-9). Put -2, a, 0 in ascending order.\nAnswer: -2, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = c + c - 14, -5*y + 3 = -3*c. Suppose -3*g = c*j - 82, -2*j - 74 = -3*g + 2*j. Calculate the highest common divisor of 91 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/903616 and -23\/1569344.\nAnswer: 3165366848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 62636988559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.91, -0.4, 0.1, 5, 1.\nAnswer: -0.91, -0.4, 0.1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 33*i - 173. Give k(26).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*l + 11. Let v be 8\/10 + 8\/(-8). Let k = -9.3 - -5. Which is the biggest value? (a) v (b) k (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5*14\/(1050\/(-135)). What is the closest to 9 in m, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -152 in 2\/3, -87\/11, -0.2?\nAnswer: -87\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.036 + 2.036. What is the biggest value in n, -1\/2, -6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 5*v - 3*v)*(-28*v + 28*v + v**2) + v**3 + 2*v**3 - v**3.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a, -3*a + 12 = 2*m + 2*a. Let l(b) = b**2 - 5*b - 3. Let w be l(m). Put 1, -3, w in descending order.\nAnswer: w, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 10*y - 3. Let f be p(-2). Solve -f*l + 35*l = -28 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -4, 25*z + 5*n = 26*z - 11. Which is greater: z or 1\/1066?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30488788 and 24?\nAnswer: 182932728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -84*o**3 + 4*o**2 - 2*o - 8. What is z(-1)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**4\/5 - 36738*b**3 + 6*b**2\/5 + 551066*b\/5 - 73476 = 0?\nAnswer: -91845, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 7) to base 12\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(((q*q**(1\/2))\/q)\/q)*(q**(-1\/3)\/q)\/q)\/(q**0)**20 assuming q is positive.\nAnswer: q**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) + 1*(((sqrt(85) - sqrt(85)*2) + sqrt(85) - sqrt(85)) + sqrt(85) + sqrt(85)) + sqrt(85))\/(6*sqrt(15)\/sqrt(3)).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -161324.8 to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 50182 times -1.3\nAnswer: -65236.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -g + 21 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 525 = -17*k + 10*k. Let y be k\/(-12) + -1 + -5. What is the closest to y in 2, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 1328*b - 15376. What is the units digit of f(12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -13 - 16*c**2 - 12*c - 9*c + 2*c**3 + 25*c**2. Let n be j(-6). Let q be 0*((-1)\/(-1))\/(-1). Solve n*o + 11 - 1 = q for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 95752940?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p + 4*p - p)*(-108*p + 216*p - 106*p) to the form y + b*p + u*p**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3\/8 (b) -2\/947 (c) 4\/5 (d) 1\/141 (e) -3 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + h + 1. Let f(s) = -14*s**2 + 2*s + 2. Determine 4*f(a) - 8*x(a).\nAnswer: -48*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10721232 (base 8) to base 5\nAnswer: 1044213021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3618 + 0.0618. Let r = -0.1 - 0.4. Let n = 1.09 + -0.09. Which is the closest to n? (a) r (b) 4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26 in 1, 62, -28, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1578 - -1578.1862. Let i = 0.249 - h. What is i rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**3 - 154*j**2 - 190*j + 52. Let k be u(78). What is k rounded to the nearest 100?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5*(-5)\/(25\/(-185)) is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 181 + -221 + -2 + 6.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -78 - 12547935.\nAnswer: -12548013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u - 30 - 80 = 13*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3334341 (base 5) in base 2?\nAnswer: 1110010101100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2323 + 12648. Suppose 44*u - d = 33*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -204 - -51529755.\nAnswer: 51529551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l**2 + 7*l**2 + 5*l**2 + 8*l**2.\nAnswer: 13*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3895 + -46775\/12. Let t = -61\/6 + 202\/15. Calculate the common denominator of s and t.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 104 = -2*v. Let d = -86 + 86. Is v - (d + 3 + 15\/(-5)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 - 59?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 47531461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (23*w - 126 + 126)*(-3*w - 2*w - w)*(-11 + 11 - 5*w) in the form h*w + k + q*w**2 + b*w**3 and give b.\nAnswer: 690","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3548363789.\nAnswer: 163, 21769103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 6*c - 3*c. Calculate the remainder when c is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i - 6*i - 763*i**2 + 755*i**2 + 1 as z*i + v + o*i**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkaxxakeuuakukaauu. Give prob of picking 1 k and 1 e.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -15*k**2 - 6*k - 6. Let b(u) = -18*u**2 - 7*u - 6. Give -4*b(q) + 5*j(q).\nAnswer: -3*q**2 - 2*q - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 1 = -5*y. Let f = 7\/22 + -1\/2. Which is the closest to 1? (a) y (b) 0.3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 280?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4*d. Let f(i) = 1763*i**2 + 5*i + 2. Determine w(f(g)).\nAnswer: -7052*g**2 - 20*g - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/1*(-147)\/(-245).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ra when two letters picked without replacement from {a: 3, r: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.074495 to three decimal places.\nAnswer: -0.074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-10))\/(((-120)\/12)\/(-50)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**4 + 0*v**4 + v**4 - 2*v**4 + 0*v**4 - v**4 + (-2*v + 0*v + 3*v)*(-v**3 + 3*v**3 + 0*v**3).\nAnswer: v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - -6. Calculate the greatest common divisor of i and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19732 + 19732. Solve t - 25*q + 20*q + 12 = u, -3*t + 3*q = 24 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10531, 43323, 98375, 175687, 275259, 397091?\nAnswer: 541183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 105251 (base 6) in base 14?\nAnswer: 339d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 u when four letters picked without replacement from {o: 1, l: 2, u: 5, j: 1, v: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 76582?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42.9 - 42.6. What is the nearest to -1 in 8\/3, -2\/15, f, 5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1951.48 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**3 - 2*m**2 + 2*m + 2. Let n(r) = -r**3 + r + 1. Determine 2*n(z) - u(z).\nAnswer: -4*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 121070000 rounded to the nearest 1000000?\nAnswer: 121000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -163 and 216580201565.\nAnswer: 216580201402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*((k*k\/(k**(1\/4)*k))\/k)\/k*k*k)\/k**(-4)*((k*k*(k**2\/k)\/k)\/k)**44)\/((k*k**2)**(7\/10)*(k**(-1)\/k)**3) assuming k is positive.\nAnswer: k**(1073\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -125083*j*o - 16650*o wrt j.\nAnswer: -125083*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/1694 and -3\/3668.\nAnswer: 443828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 5*s**2 - 5*s - 4. Let b be h(-4). Let j be (-200)\/16*(-2 + (-12)\/(-10)). Suppose -10*q + 5*q = -j. Solve b = -g - q*g + 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 - 1)*(1 + -2). Suppose -4*r - 20 = -m, -5*m - 4*r + 11 = -41. Let d = -7 + m. Put q, d, 1 in increasing order.\nAnswer: q, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 5*g**2 + 6. Let v be n(5). Suppose z = -v + 20. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 202535 - 3?\nAnswer: 202532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 16) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*a = -20*a + 39*a + 810 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 - -92. Calculate the greatest common divisor of 12 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5379*6.\nAnswer: 32274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 6) to base 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5241\/7 + 749. What is the nearest to 1\/5 in 5, -0.3, -9, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.204 + -2.304. Let r be 40\/48 - (-2)\/(-2). What is the biggest value in -2, r, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (129\/(-105) + (-27)\/(-63))*((-2828)\/224 + 12). Let q = -1\/184 + 3\/23. Solve -3\/8*a**3 - q*a**5 - z*a**4 + 0 + 0*a**2 + 0*a = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 269 = m + 78. Let n = -96 + m. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 3*y + d + 42 = 0, 3*y - 4*d = 42. Let b be -2 + 0 + -3 + 7. Suppose b*t + 84 = 6*t. Calculate the highest common factor of y and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 28*y**2 - 135 + 135. Let j(p) = -2*p**2. Determine j(m(o)).\nAnswer: -1568*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y - 45*y = 0. Let d(k) be the second derivative of -1\/54*k**4 + 1\/90*k**5 - 1\/27*k**3 + y*k**2 + 12*k + 0 + 1\/135*k**6. Find q, given that d(q) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 4345*a. Let z(o) = 4*o**2 + o. Determine i(z(h)).\nAnswer: 17380*h**2 + 4345*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1240087.\nAnswer: 1240087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 + 19 + 21)*(2 + 5 - 1)*(4*y - y - y).\nAnswer: 204*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11174?\nAnswer: 2, 37, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 100 - 40. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*k = k + 88*k + 7689 for k.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.754626 nanometers in centimeters?\nAnswer: 0.0000007754626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*l - 11 + 3 - 3*l - 11)*(0 + 0 + 1).\nAnswer: -13*l - 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54706484.\nAnswer: 2, 7, 1953803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 6*z**3 + z**2 + 11253. Let t(x) = 45*x**2. Give b(t(l)).\nAnswer: 36450*l**4 + 90*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3989 take away 6224?\nAnswer: -10213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 18*k**2 + 45*k + 2. Let m(q) = 1868*q**2. What is t(m(y))?\nAnswer: 62809632*y**4 + 84060*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 4.03754 millennia?\nAnswer: 403.754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -220 * -3581\nAnswer: 787820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 8, -2\/15, -14, 5\/3, 0.14?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - t**2 - t + 80. Let j be k(0). Suppose 0 = y - 2*h - 7, h + j = 4*y + y. Calculate the remainder when 50 is divided by y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 38, 3, 22, 0 in decreasing order.\nAnswer: 38, 22, 3, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7938149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 0.1, 28\/5, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 20 = -0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one tenth of a kilometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -l**6\/240 + 73*l**5\/360 - 31*l**4\/48 + 23*l**3\/36 + 29*l**2 - 1. What is r in h(r) = 0?\nAnswer: 1\/3, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -81, -493, -1615, -3801, -7405, -12781, -20283, -30265?\n\"Answer: -59*s**3 - s**2 + 4*s - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1665 - 1082. Suppose -231 = 11*a - k. What is the highest common factor of 2 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.36, -1308990, -0.5?\nAnswer: -1308990","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 160\/8*1\/4. Suppose -2*f + 68 = r*m + 4, 0 = m - 4. What is the remainder when 41 is divided by f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/36*7*2*(-4)\/1*-1.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 549 - 1077\/2. Let b(v) be the first derivative of s*v**2 + 5*v**3 - 1 + 0*v. What is the second derivative of b(a) wrt a?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2663\/110, -0.1, -4, 184 in decreasing order.\nAnswer: 184, 2663\/110, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 3.86 and -1438.\nAnswer: -1434.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4911 is divided by 1634?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 41286 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 be -3 - (-1)\/((-3)\/(-24)). Suppose 2*u = v*d + 133, 0*d = -4*u - 4*d + 252. Calculate the highest common divisor of 16 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + t - 2. Suppose 3*d - 2*d - 3 = 0. Let z be i(d). Suppose 4 - 16 = -2*f. Solve f*j = j + z for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 16*n**2 - 17*n - 21. Let z be o(-15). Put z, -34, 3 in descending order.\nAnswer: z, 3, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1296 + 1837. List the prime factors of q.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (36 + -45 - 36) + (2 - (1 - -1))\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/7 + 1222290*q\/7 - 3666996.\nAnswer: 2*(q - 21)*(q + 611166)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -7*k**2\/2 - 130*k - 86. Let m be v(-19). Let i = 1 - 1. Solve -3*p + m = -i*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(42)*3)\/sqrt(7) + (sqrt(600)*1 - sqrt(600)))\/(2*(-2*(-1*sqrt(243) - sqrt(243)) + sqrt(243))))**2.\nAnswer: 1\/450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = u + 38. Let j(k) = k**2 - 1. Let z(d) = 30*d**2 + 9. Let a(c) = u*j(c) + z(c). What is the first derivative of a(l) wrt l?\nAnswer: 50*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*w - 15 - 45 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/12 and 173\/84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -5*i - 5, -2*i = -p - 3 - 4 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 504*c**3 - 299*c**3 - 190*c**3.\nAnswer: 15*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 63746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*t = 74*t + 52 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 197*p**2 - 8 - 233*p - 10 + 30.\nAnswer: 197*p**2 - 233*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 12*q**2 - 51*q + 9. Let f be r(16). Find the second derivative of 6*n + f*n**2 - 23*n**5 - 217*n**2 wrt n.\nAnswer: -460*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1798949395 divided by -5?\nAnswer: 359789879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114 + 122 + 23*i - 6*i - 7*i - 365 + 121.\nAnswer: 10*i - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*u = -2*u - 9*u + 124. Let r(t) be the first derivative of 24 + 0*t - 1\/2*t**u. Let z(o) = -13*o**2. Give r(z(f)).\nAnswer: 13*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m**4 + 3*m**4 + 2*m**4 + (89 - 22 + 39)*(5*m**4 + 54 - 94 + 42 + m) to d*m + x*m**4 + c + f*m**2 + h*m**3 and give x.\nAnswer: 532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oi when two letters picked without replacement from {v: 2, i: 1, o: 5, w: 3, a: 3, j: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (616\/33 - 21)*(-5)\/((-105)\/6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -444, 8, -24, 47.\nAnswer: -444, -24, 8, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -0.4, 5\/4, -1\/1095, -1\/2, -0.0493?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 832126?\nAnswer: 2, 29, 14347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y - 2. Let n be t(2). Let m be (-2)\/4 - 5\/(-2). Let q(a) = -m*a + n*a + 0*a. What is q(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -11*k**5\/60 - k**4\/4 - 37*k**3\/6 - 5*k**2 + k + 117. Let z(j) be the second derivative of n(j). Differentiate z(o) wrt o.\nAnswer: -22*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((180\/(-8))\/(-15))\/((-1)\/(-8)*4). Let l(w) be the first derivative of -1\/4*w**4 + 8 - 4*w**2 - 7*w - 8\/3*w**f. What is l(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttltltttttgltt. Give prob of sequence lg.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3086211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - c - 14. Let o = 3 - 3. Let w be b(o). What is the units digit of (2\/1)\/((-4)\/w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0887 - 0.4887. What is the nearest to z in -4, 0, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.8 at least -2.04946?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 8*b. Let w(z) = 13*z - 13. Determine k(w(n)).\nAnswer: 104*n - 104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 15, 21, 27?\n\"Answer: 6*f + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2. Let w(d) = 23*d**2. Calculate -46*r(b) + w(b).\nAnswer: -23*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32 + -21 + -30 - -2 - 0) + -97.\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z - 2 + 0 + 4 + 2*z + 4*z - 4*z + (-23 - 30 - 54)*(0*z - 2*z + 0*z) + 3*z + 5*z - z to the form n + w*z and give w.\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5*y - 20. Suppose 2*w - 2*b = 0, 5*w - w + b = -y. Let g(p) = -8*p**3 + 2*p + 2. What is the remainder when 16 is divided by g(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/15 + 2674*h\/15 + 7589296\/15.\nAnswer: -2*(h - 2728)*(h + 1391)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/1*5\/(-10). Let z(m) = 6*m + 0 - 2*m + v. Let u(q) = -2*q**2. Give u(z(f)).\nAnswer: -32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 257065401 * 3\nAnswer: 771196203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6842?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 51, 49, 45?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 204140?\nAnswer: 204136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8869118?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - -5. Let w = 1 + j. Is -1 + -57*(-6)\/w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 792*c**2. Let j(g) be the first derivative of -4*g**3 + 9194. Determine d(j(w)).\nAnswer: 114048*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**3 + 3*s**2 - 4*s - 2. Let y(v) = 3*v**3 - 6*v**2 + 7*v + 4. Let t(a) = -5*h(a) - 3*y(a). What is the least common multiple of t(-3) and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130 (base 10) to base 14.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 0*t - 7 + 6*t**2 + 5*t - 5*t wrt t.\nAnswer: 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 2078?\nAnswer: 4156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 7*z**2 - 9*z - 5. Let h be n(-8). Differentiate x**4 + 5 + 2*x**4 + 0*x**4 - h with respect to x.\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 5:05 AM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 973?\nAnswer: 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 740*q - 178. Let s(j) = -741*j + 134. Determine -4*s(c) - 3*x(c).\nAnswer: 744*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w + 0*w + 5*w - w. Let j be f(0). Suppose -3*z + 6 = 0, 4*z - 40 = -4*l - j*z. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000020820225 to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70 and 280046?\nAnswer: 9801610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 200132?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a litre in millilitres?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*k*q**3 + 63*k*q*s**2 - 2*q**3*s**2 + 1515*q**2 wrt k.\nAnswer: 3*q**3 + 63*q*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 5695350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1593547 > 1593554?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11361?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13891 - 9755. Let t be 6\/(-4) + 6220\/z. Which is bigger: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1558 and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 4\/5, 0, 4 in descending order.\nAnswer: 4, 4\/5, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8ae727 (base 16) to base 3\nAnswer: 122010111011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {u: 9, g: 7}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - m + 75 + 45, 0 = 5*f + 2*m - 612. Let d = -82 + f. What is the greatest common divisor of d and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a microsecond in nanoseconds?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jlejjeel. Give prob of picking 2 j and 2 e.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 195 = -3*u. Suppose 3*o + 9 - u = 0. Let m = 5 + o. Calculate the smallest common multiple of 21 and m.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50885673 divided by 1.\nAnswer: -50885673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (36 - 4) - 4. Let p = 40 + v. Solve -p*z = 19 - 3 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f - 2. Give q(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 360693 and 438?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1898 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j - 5*j + 804. Is (-4)\/(-6)*j\/(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 0*t = -g, 5*g - 4*t = 0. Solve 4*u + 2*r + 3*r + 22 = g, 10 = -5*r for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + -1. Let m(j) = 49*j**2 + 56*j - 20. Let o be m(-5). Let r = -927 + o. Put r, t, 1 in decreasing order.\nAnswer: 1, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f - 7. Let a be x(11). Let g = -32 - -38. Solve -5*n - a*i = -9 - 4, 2*n = 4*i - g for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*i - 130 = -58*i. Solve 2*p - i = -23 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-2)\/4)\/((-15)\/3030)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12673*m**2 + 10*m = 0.\nAnswer: 0, 10\/12673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -2 + 0*v**5 + 0*v**3 + 2*v + 0*v**2 - 31\/15*v**6 - 53\/4*v**4. What is the third derivative of c(o) wrt o?\nAnswer: -1488*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d**2 - 43*d - 13. Let o(t) = 2*t**2 + 21*t + 7. Let u(j) = 9*o(j) + 4*p(j). Let g be u(-8). Is g + 0 + 2 - 0 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 8\/80*55)*34.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = -968 + 2543. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3580 divided by 716.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + sqrt(432) + (sqrt(432) - (sqrt(432) + (sqrt(432) + (sqrt(432) - (sqrt(432) - sqrt(432)*-1) - sqrt(432)))*-4)))**2.\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.837 + 0.7484. Round g to three decimal places.\nAnswer: -0.089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**(1\/4)*c))**42\/((c*c\/(c\/(c\/(c*(c\/(c\/((c\/c**(-2\/31))\/c)))\/c))))\/c**(-9)))**16 assuming c is positive.\nAnswer: c**(-10632\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 853776?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -111219747\/344 - -323313. Calculate the common denominator of y and -53\/12.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -3, 2\/11, 51, -1, 0?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 - 34 - (-15 + 0).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 630619 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 10:28 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 12, 2 in descending order.\nAnswer: 12, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 1 = 2*u, -2*u - f - 3 = -0*f for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -2\/7, 1, 2 in descending order.\nAnswer: 22, 2, 1, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 20*(-4 + 1 + 6)?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -372*k = -5*f - 376*k + 41 + 16, 4*k = -16*f + 156 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -231668316 by 252362.\nAnswer: -918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -58 - -55ba53?\nAnswer: 55b9d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 11*q**2 - 4*q - 4. Determine v(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**3 - 116345*k**2 + 5129820*k + 22380480 = 0. What is k?\nAnswer: -23313, -4, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 245*l**2. Let o(j) = -j**2. Give o(n(v)).\nAnswer: -60025*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 3*j = -6, -143 + 307 = -10*j + 5*j + 154 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-21))\/((-12)\/28).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 12, p: 1, m: 7}. What is prob of picking 1 r and 2 m?\nAnswer: 21\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6883886.\nAnswer: 2, 3441943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 8*i - 3*i. Suppose -4*a + 25 = -i*j - 19, 0 = 5*j + 10. Let x(k) = k**2 + 3*k + 11. Is x(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -0*c + 2*c + 3*r, 3*r = 5*c - 57. Let u be ((-168)\/32 - -6)\/((-2)\/(-8)). Solve 3 = -u*z - c for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8571141 and 756?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(36)\/((sqrt(24)*1)\/sqrt(8)))**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1014464?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 3*v + 28, -2*m + 0*v - 4*v + 6 = 0. Suppose 0 = -m*l + 4 + 6. Let y = -1 - -1. Which is bigger: y or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277 is divided by 59?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 141?\nAnswer: 5\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, 0.031, -14, 2\/11, -0.314?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -536395 smaller than 17\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dfzdslsl. Give prob of sequence dfz.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - g + 5 = 0, -4*b + 14*g - 9*g = 23. Does 24 divide ((-200)\/b)\/(1 - (-6)\/(-8))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17.9 - 17.5. Let z(q) = -q**2 - 9*q - 5. Let c be z(-9). Let p be 23 - 22 - -2*(-1)\/5. What is the biggest value in p, h, c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zllrzzozzznzaoaaa. Give prob of picking 1 a, 2 z, and 1 l.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279117.\nAnswer: 3, 31013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.4, 7\/2.\nAnswer: -2, 0.4, 7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 250300890 by -6.\nAnswer: -41716815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119\/34 + ((-3410)\/20)\/11.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18217\/848 - 804\/53. Let i = 118473 + -4739023\/40. Calculate the common denominator of y and i.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -14*z. Let t be (-45)\/(-25) + (-2)\/(-10). Let m(h) = 21 - 21 + t*h. Give m(d(o)).\nAnswer: -28*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z + 3 - 3)*(18 + 49 + 9*z - 7*z) to the form y + m*z**2 + p*z and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t**3\/5 + 404372*t**2\/5 - 485268*t + 3639564\/5 = 0. What is t?\nAnswer: -101099, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 221*q**2 + 8*q + 12. Let d be w(-6). Suppose 0 = 28*f - 52*f + d. Does 14 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*l - 5. Let s(q) be the third derivative of q**4\/24 - 5*q**3\/6 - q**2. Calculate s(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, 2, -34635?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 89.022966 to 1 decimal place.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 0.1 (b) -5 (c) 0.50867\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 4, 1\/11, 29, -1, 3 in increasing order.\nAnswer: -1, -1\/4, 1\/11, 3, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**5)\/(p\/p**(-1)))**(2\/85) assuming p is positive.\nAnswer: p**(8\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -134 * 69.5\nAnswer: -9313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 4*k, -19 = 5*k + 5*h - 4. Let t = 126.8 - 124.77. Is k < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 502.989 + -498. Let y = -0.011 - s. What is the smallest value in -4, -2\/7, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-714)\/187 + (-4)\/22.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/((-3 + 1)*1). Suppose -5*c - 4*b = -59, -2*c + 2*b + 38 = -y*c. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*p - 45*p + j = -40, -5*p = -j - 212. Solve 0 = p*z + 7*z - 350 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 + 0.2. Let f be 2\/(-6) + 7\/(-21). What is the smallest value in f, 0.3, q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 18*r**2 + 20*r - 14. Let l be g(19). Let v(y) = 75*y + 4. Let d be v(6). Suppose l*k - d = 1081. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 5*k**3 + 10*k**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24.04037 - 0.05037. Let z = d + -24. Is -2 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -30111 - 21?\nAnswer: -30132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43113 = c + 2*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2) + (-99)\/(-126)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3653555 divided by 13787\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + p - 24. Let l be (-39)\/15 + 3 + 106\/10. Does 18 divide n(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -5*n**4 - 290*n**3 - 850*n**2 - 842*n - 279. Let x(u) = -6*u**4 - 291*u**3 - 852*u**2 - 843*u - 279. Let b(m) = -3*f(m) + 2*x(m). Factor b(o).\nAnswer: 3*(o + 1)**3*(o + 93)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -139 or 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1523865455 to the power of 1\/4, to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14014 (base 7) in base 10?\nAnswer: 3784","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*c**2 + 77*c**2 + 88*c**2 - 219*c**2.\nAnswer: 20*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccxccccccccccccxccc. What is prob of sequence cx?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3093 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80)*2 + sqrt(80) + sqrt(80))*-6 - 6*(sqrt(80) + sqrt(80)*1))\/((sqrt(484)*5 - sqrt(484)) + -4*sqrt(144)).\nAnswer: -18*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -d**6\/540 + d**4\/36 + 2*d**3\/27 + 11*d**2\/2 + 1. Let t(b) be the second derivative of x(b). Factor t(g).\nAnswer: -2*(g - 2)*(g + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 7*t**2 + 6*t + 3. Calculate the least common multiple of i(-6) and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l. Let i be o(-2). Let b be (-5)\/(-10) - i\/(-12). Factor -2\/3*s + 0 + s**2 - b*s**3.\nAnswer: -s*(s - 2)*(s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8768 + -7473. Calculate the greatest common factor of 70 and h.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**2*l*q + 5*b**2*q**3 - 3*b**2*q + 49244*b*l*q**3 + 2*b*l*q**2 + 492*l - q**2 + q wrt q.\nAnswer: 30*b**2 + 295464*b*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -a37ae (base 15) to base 11\nAnswer: -3242a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*a - 3*a + 264 + 14*a)*(5 - 4*a**2 - 5).\nAnswer: -8*a**3 - 1056*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + s - 10 - 5 = 0, 2*x + 2*s - 6 = 0. Let z = -4 + x. Suppose 0 = 2*o - 43 + 7. Calculate the lowest common multiple of z and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/60107 or 1?\nAnswer: -5\/60107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2 - 7945*g + 528960.\nAnswer: -5*(g - 64)*(g + 1653)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 21232432135?\nAnswer: 21232432143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + c = w + 14, 5*c = -25. Calculate the remainder when 3 + -1 + w + 50 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4566 is divided by 1515?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3312 - 134234?\nAnswer: -143101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 183, 412, 733?\nAnswer: 1146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5882.611 hours to milliseconds.\nAnswer: 21177399600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.029 take away 0.0022?\nAnswer: -0.0312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 146139 divided by 107\nAnswer: 146139\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000303179905 to 7 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/6 + (-2808)\/(-2754). What is k in d*k + 2\/17*k**2 + 0 = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -146, 0, 3 in ascending order.\nAnswer: -146, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**8\/j*((j\/((j**33\/j)\/j)*j*j)\/j)\/j*j)**(-4\/5) assuming j is positive.\nAnswer: j**(88\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -44, -99, -154, -209, -264, -319?\n\"Answer: -55*r + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(1300) + -2)*-5)**2 + 3 + (((sqrt(1300) - (-1 + -3*sqrt(1300) + sqrt(1300))) + sqrt(1300) - sqrt(1300))*1)**2).\nAnswer: -44304 + 940*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = -0*m + 13*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -r**4\/4 - 3*r**3 + 2*r + 7. Find w such that l(w) = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -100197*t + 6613023. What is r(66)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d*g**6 - 84*d*g**3 + 16*d*g + 2*d - g**6 - 4*g**2 wrt g?\nAnswer: 120*d*g**3 - 504*d - 120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 14*p**2 + 3*p + 3. Is n(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 8 = -y, 0 = -8*o + 4*o - 4*y for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence see when three letters picked without replacement from {s: 3, p: 11, c: 1, e: 4}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express k**2 - 460 + 459 + 22*k - 67*k**3 - 23*k as i + c*k + r*k**2 + s*k**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 5:10 PM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 403, 455, 507, 559, 611, 663?\n\"Answer: 52*z + 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15*b + 73*b - 34*b)*(-159*b + 210 - 210) as p*b + l*b**2 + u and give l.\nAnswer: -3816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 144418178 to the nearest integer?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.0982 (b) 0.4 (c) 6 (d) 6588\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x + 5. Let p(l) = -l**3 - l**2 - 2*l - 2. Let i be p(0). Let c be m(i). Suppose 0*u = 2*y + 4*u - 1242, -c*y + u = -1856. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 21 - 19 = -v, -10 = -i - 3*v. What is the second derivative of 6*k**5 + 29*k**5 + 4*k - i*k**5 wrt k?\nAnswer: 500*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*h = -143 + 1410 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 195335 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 1:49 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1980 + -425698\/215. What is the third biggest value in d, 7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13)*1 + -5 + (1*sqrt(117))**2.\nAnswer: sqrt(13) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*n = 30*n - 61317. Let g = 777 + n. Suppose 2*l + 81 = 5*l - 3*i, -143 = -5*l - 3*i. What is the least common multiple of g and l?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 10. Let p = -12 + 18. Suppose -5*o - 20 = -p*o. What is the lowest common multiple of o and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -6*h**2 - 2. Suppose -3*y + 3*w + 2*w + 277 = 0, 4*y - 380 = 4*w. Let j = y - 97. Give d(j).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1937*h - 1938*h + 3869*h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 730 = -2*c, -3*s - 252 = c - 622. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 1059 = 21. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 158a (base 12) to base 2\nAnswer: 100111111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**5\/2 + 77*l**4\/4 - 190*l**3 + 361*l**2\/4 = 0.\nAnswer: 0, 1\/2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in -112, 1.17, -1\/6, -0.1?\nAnswer: 1.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 53, 129, 237, 383, 573, 813?\n\"Answer: f**3 + 10*f**2 + 39*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 472.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -381533.2 rounded to the nearest ten thousand?\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1161 + -213.9839. What is s rounded to the nearest integer?\nAnswer: -214","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -2*j + 5*r - 14, 6 = 5*j + 4*r. Let f = 0.03 + -0.33. Which is the second biggest value? (a) -0.04 (b) f (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w**2. Give n(-6).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/81 (b) 1 (c) -1\/7 (d) -3 (e) -1\/2 (f) -21\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36 + 65. Suppose -39 - k = 5*g. Let v = g - -195\/7. Do v and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -5) + (-8 - -21) + -53 + 31.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -4*u + 4. Suppose 3*l + o = 20, -14 - 6 = -4*o. Let y(f) = -1 + 5*f - 1 - 3. Determine l*y(m) + 6*v(m).\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 106438 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 571 + -596 - (-40 - -2).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 31514 divided by -3?\nAnswer: -31514\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 2*o - 2*o**3)*(-41 + 68*o - 40 + 80).\nAnswer: -136*o**4 + 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 92*f**2. Let j(i) = -22277*i. Calculate j(c(w)).\nAnswer: -2049484*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/5)\/(2\/(-35)) + -2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o\/(o\/(o*o**2\/o))*o*o\/(o**(2\/13)\/o)*((o*(o*o**(2\/23)\/o*o)\/o)\/o)\/o**2 assuming o is positive.\nAnswer: o**(1176\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/6)\/(-2 - 4\/(-3)). Is t smaller than 1.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54 + 23. Let m = -31.000026 - p. What is m rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4806 or -4804?\nAnswer: -4806","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3, 0.2, 48.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-22)\/6*24\/(-44). Solve 4*y - 23 = 3*m, -3*y - m + 12 = a*m for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.6 + 0.7. Let k = 28 + -24. Suppose 1 = k*i + j, -3*j - 18 = -3*i + 2*j. What is the biggest value in y, i, 0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/315455 and -29\/385?\nAnswer: 3470005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - (8 - (2 - -8) - (0 - 5)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 4*f**2 - 262*f - 416. Give a(67).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2a5dc0 + 4?\nAnswer: 2a5dc4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - 8 - (0 - -2 - 7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, m: 1, g: 3}. What is prob of sequence wwwm?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 3. Let c = -1572 + 1572. What is the closest to i in 3, -0.03, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19175099 is divided by 104?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wn when two letters picked without replacement from {w: 2, n: 17}.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -365*n**3 + 68*n**3 + 1971*n**3.\nAnswer: 1674*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 41d + -1644d?\nAnswer: -16030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a centimeter in micrometers?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0*k = 116. Let o = 276 - k. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/6)\/((-44)\/(-66)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 24 = 4*c, 3*c - 3*p = -452 + 434 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sstt when four letters picked without replacement from {s: 4, t: 3, r: 2, l: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 3*t - 2*t - 280, 2*d + 3*t - 140 = 0. List the prime factors of d.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) 3 (c) 0.5 (d) 0.03 (e) -2\/19 (f) -40\/33\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 1. Let g(v) = -v**3 - 12*v**2 + 119*v - 69. Let r be g(6). Let p(j) = 2*j**3 + 2*j**2 + 3. Give r*p(w) - 6*k(w).\nAnswer: -6*w**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -14. Let r be (-29 + 3 + 31)*(-3)\/15. Which is the biggest value? (a) 1 (b) j (c) r (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15326 to the power of 1\/2, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 91 and 274654?\nAnswer: 274563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -743 divided by -229.\nAnswer: 743\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 8*w**2 - 9*w + 12. Let n be p(9). Let k = 54 + n. Suppose -2*g + 191 = -139. Calculate the greatest common factor of k and g.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 11. Suppose 3*c = 2*t + 48, 4*c - 5*c + 16 = -a*t. Does 13 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2187 and 162.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 369 and 164?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -3012003011?\nAnswer: -3012003012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/55*(-9)\/(-18))\/(-1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18817 - 13062. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(405) - (sqrt(405) + 2)) + sqrt(405) + -2)*5 - (sqrt(405) + sqrt(405)*1 + 1 + sqrt(405) + 1))**2.\nAnswer: -3168*sqrt(5) + 8416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 50695194?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -128068163 or -128068165?\nAnswer: -128068165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -48195, -48199, -48203, -48207?\n\"Answer: -4*v - 48191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2826 divide 278561647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does -95 = -473\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3546\/(-9639) - 2\/(-3). Let n = i + -2\/153. Let m = -1919\/6 - -319. Is m equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 159 and 126246?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 - -777883185708?\nAnswer: 777883185879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 x when four letters picked without replacement from {r: 1, x: 4, k: 4, v: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -322737700 rounded to the nearest one hundred thousand?\nAnswer: -322700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 10110000?\nAnswer: 10110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3821 - -1?\nAnswer: 3822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - m = 267, 0 = -4*q - m + 67 + 194. Calculate the remainder when q is divided by 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of m**4\/24 - 8*m**2 + m. Let r(i) = -127*i**2 - 2*i. Calculate r(f(v)).\nAnswer: -127*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 + 5)*(2 - 2 - 2*y) - 4 - y + 4)*(2*y - 2*y - y)*(-2*y**3 - 4*y**3 + 4*y**3).\nAnswer: -14*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 18705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.03 or 51441?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -75*l**6\/4 + 43*l**5\/15 + l**3\/2 + 2450*l**2. What is the third derivative of z(x) wrt x?\nAnswer: -13500","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5464 - -38249\/7. Which is the closest to -3? (a) 6 (b) 7 (c) -4 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 989*n**2. Let m(a) = 2*a**2. Give m(x(p)).\nAnswer: 1956242*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**3 - 3739*a**2 - 7501*a - 44. What is i(-2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 20494*b - 61402. Calculate l(3).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 0 - 1, 5 = -i + 2*u. Let q(y) = -y**3 + 2*y**2 + 12*y + 16. Is q(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.39 + 0.01. Suppose 1468*r - 1467*r = 2, -4*p + 14 = -3*r. Put p, i, 4 in increasing order.\nAnswer: i, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 86507.\nAnswer: 5\/86507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 367 + 121 = 8*n. What is the remainder when n is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w + 1. Let f(u) be the second derivative of -5*u**3\/3 - 13*u**2\/2 - 4981*u + 2. What is -6*f(c) - 78*t(c)?\nAnswer: -18*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**(-10\/9)*t)\/t*(t**7\/t)\/t*(t*t\/(t*t**30))\/t**(-1\/3) assuming t is positive.\nAnswer: t**(-205\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48.047 + -0.047. Let y = 49 - v. Let a be (-34)\/85*(-5)\/3. What is the smallest value in 0.1, a, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 6 + 2 = 0. Let r be 9\/(-12 + 3) + b + 5. Calculate the greatest common divisor of r and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 - -3cd3b?\nAnswer: 3cd43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1380696 and 27744?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.184151 to three dps.\nAnswer: 0.184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -70462 or -70485?\nAnswer: -70462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 18*u**3 + u**2 - 2*u + 1. Determine l(-2).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 7*f**2 - 83*f - 15. Let z be g(14). Let x = z + -192. Solve -5*t - 22 = x for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 4*p**2 + 1)*(1 - 1 + p) + p**3 - 2*p**3 - 2*p**3 to the form a*p**3 + r + j*p**2 + t*p and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 973 is divided by 525.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -172 - -112. Let v = w + 130. What are the prime factors of v?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36784 divided by -658?\nAnswer: -18392\/329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8442812.\nAnswer: 2, 7, 17, 17737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 10, g: 4}. Give prob of sequence hgh.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25.3 + -23.27. Let t = -0.08 - -0.11. Let o = r - t. Sort -0.5, o, 4\/7 in increasing order.\nAnswer: -0.5, 4\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 780705 and 1485?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 232, 226, 222, 220, 220, 222?\n\"Answer: a**2 - 9*a + 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -388 - -388. Suppose -4 = 2*x - 10, v = -2*o + x + 3359. What is the hundreds digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11919 rounded to the nearest one hundred?\nAnswer: -11900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359 is divided by 90?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 30 = 2*w. Suppose -q**2 - 1\/3*q**w - 1\/3 - q = 0. Calculate q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 2:57 PM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 6*g**2 + 5*g + 32. Let v be j(-6). Solve -v = -4*h + 10 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*r**5 - 7*r + 18*r**5 + 2*r**3 - 4*r**3 - 13*r wrt r.\nAnswer: 240*r**3 - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, -25, 4, 2\/7, 178?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/(-6) + (53 + -57)*38\/8?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*n - 2*n**3 - 5*n + (-4*n + 3*n - n)*(0*n**2 + n**2 + n**2))*(-4 + 3 - 2) to z*n**3 + y + b*n**2 + h*n and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*1\/(-4)*2. Suppose 0 = 5*i - 15, -7*k - i + 139 = -5*k. Suppose 9*u + 5 - k = 0. Calculate the greatest common factor of f and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 16) to base 9\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uue. Give prob of picking 2 u.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 112 = -4*s, -2*s - s + 2*k = -101. Solve 6*y - s + 7 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4196 = -0*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20*l**4 + 2623 + 2276 + 48*l**3 - 48*l**3 + 3283 with respect to l.\nAnswer: 80*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m + 3*z + 6 = 171, -4*z = 11*m - 159 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) + (sqrt(130) - (sqrt(130) + sqrt(130)*1)))*1 + sqrt(130))\/sqrt(10).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -a + 5, 0 = -2*a + 2*z - 7*z + 1. Calculate the remainder when a is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 16) in base 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.80757 years in decades?\nAnswer: 8.980757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16503 divided by 151.\nAnswer: 16503\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -1866*w**3 - 41*w**2 - 36*w + 4. What is q(-1)?\nAnswer: 1865","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 31, 61, 101, 151, 211?\nAnswer: 281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.47 - -0.13. Let q = 0.86 - g. Let f = q - 1.3. Sort -0.4, f, 0.4 in descending order.\nAnswer: 0.4, f, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.3614183t?\nAnswer: 361418300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -15, -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -81 - 9. Let o(r) be the second derivative of -3*r**3\/2 - 3*r**2\/2 - 2*r. Let d be o(-7). What is the greatest common factor of d and c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 2:04 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 5*l**2 + l**2 + 4*l**2 + 5 - 5*l**2. Let t be m(5). Let h(g) = 13*g - t + 8 - 16*g. Let d(x) = x**2 + 5*x - 5. Calculate -3*d(c) - 5*h(c).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2\/4 - 23455*v + 110027405.\nAnswer: 5*(v - 9382)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of 0 - 5\/3*v**3 + 7\/2*v**2 - 2*v + 1\/10*v**5 - 7\/12*v**4. Is a(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven quarters of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51.32 - -0.68. Let f = m + -52.4. Let v be (-2)\/(-12) + ((-9)\/2 - -4). Which is the second biggest value? (a) v (b) 0 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11 + 29 - 9) + -11\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-5 + -6 + 7 + 9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*r**2*x**4 - 34*r**2*x**3 + 237*r**2*x**2 - 3*r*x**4 - r*x**2 wrt x.\nAnswer: 48*r**2*x - 204*r**2 - 72*r*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 85 = 5*q, 7264*a - 7264*a - 1 = q for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -13349 > -13349?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)*-2 + -5 + sqrt(11)*4 - -1*(5 + 1*sqrt(1331)).\nAnswer: 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1055 + 1629 + r - 3513)*(-3*r**2 + 3*r**2 - r**2).\nAnswer: -r**3 + 829*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2331316 divided by 5447.\nAnswer: -428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i - 3. Let q(s) = 3*s - 6. What is 3*q(n) - 7*u(n)?\nAnswer: 2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75 and 204675?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 176065?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -410, -1650, -3698, -6548, -10194, -14630, -19850, -25848?\nAnswer: -32618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 12:00 PM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/5 - 2)\/(24\/15)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**2 - 203*a - 7. Let n(r) = r**2 + 87*r + 3. Let u(q) = -3*l(q) - 7*n(q). Let j(t) = 253*t**2 + 3. What is j(u(w))?\nAnswer: 253*w**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13840*q + 272474 = 51034 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 228 and 33?\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - -6)\/(1\/2). Let y(i) = -2*i**2 - i**2 - o + 21*i**3 - 8*i - 4*i**2 - 22*i**3. What is y(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, -1, 335, -6, -42 in decreasing order.\nAnswer: 335, 40, -1, -6, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33695 + -8988. Suppose 3*y + 2*k - 6 = 0, k - 3 = -3*y - 2*k. Suppose y*b + 4951 = l, 6*b - 2*b + j = 5*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 63538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -1\/3*o**3 + 1\/60*o**5 + 0*o + 0 - 1\/8*o**4 + 6*o**2. Give y(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 200320?\nAnswer: 200330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1341 = -i + 1346 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 18 - 57a?\nAnswer: -562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*d = -10. Let v be 0\/(1*(3 + d)). Put 1, v, -1 in increasing order.\nAnswer: -1, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/66*2 - 56\/4312*763\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7844 - 7778. What is the smallest common multiple of 756 and g?\nAnswer: 8316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzxczxcxczixiz. What is prob of sequence xicc?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-156)\/130)\/(3\/(15\/(-2)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of 85*k**6\/2 - 3*k**5\/5 - 2*k**3\/3 + k**2 - 843. What is the third derivative of a(b) wrt b?\nAnswer: 15300*b**2 - 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5, 18, 65, 148, 279, 470?\n\"Answer: 2*w**3 + 9*w - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/(-8))\/((-2226)\/17808).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkpyiptytttttttpttt. What is prob of sequence iy?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2013?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64189330 divided by 20249.\nAnswer: 3170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39939 and 92901?\nAnswer: 1236791013","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t - 10. Let d be p(-8). Is 5 + 13\/(-2) + (-2537)\/d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 31 + -7a?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**3 + 6*x**2 - 5*x + 6. Let d(k) = -3*k**3 + 11*k**2 - 9*k + 11. Suppose 12*i - 1062 = 294. Let h = i - 102. Calculate h*q(b) - 6*d(b).\nAnswer: -4*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 1058400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -80 - 40041272?\nAnswer: -40041362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -556 - -544 - 796\/(-66)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10.6 + -10.1. Sort -10, -1, y in increasing order.\nAnswer: -10, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 39354*b**2 + 16488?\nAnswer: 78708*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 920 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-4)\/(-12))\/(-1)*606*-1.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**2 - 5*w + 17. Let k = 2229 - 2236. Calculate p(k).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.09941 in 3, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (320\/110)\/(1218\/957).\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -141*h - 62*h + 59*h + (2*h - 3 + 3)*(38 - 16 - 78) to the form z*h + g and give z.\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-58)\/(-7) - (-4)\/(-14). Suppose 12*w = 7*w - 15. Let s be (-1)\/((-3)\/(-9)) - w. Solve 1 + s = m, 5*m - x = h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**2 - u - 3. Let w be r(-3). Suppose 0 = -5*z + w - 3. Suppose 341 = 4*b + z*t, -163 = -b - b - 3*t. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 599 a factor of 211968729?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -231332 - 1102111?\nAnswer: -2000103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - (1800\/(-665))\/(-4). Let m = 2\/19 + d. Determine x, given that -m*x**2 + 0 - 2*x**3 + 4\/7*x = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -121\/9, -2586, -10?\nAnswer: -121\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-84*z - 77*z + 103*z)*(5 - 3 - 1) as i*z + q and give i.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (-3)\/((-6)\/298). Suppose 3*a = 2*h + 46 - p, 4 = 2*a. What is the remainder when h is divided by (-12 - 7)*(-1)\/1?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r + 3*r - 3*r + (4 - 2 + 0)*(-8008 - 207*r + 8008).\nAnswer: -416*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d**2 - 12*d**2 - 13*d**2.\nAnswer: -17*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -30200 divided by 611\nAnswer: -30200\/611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (((sqrt(720) + 1)*2 - (sqrt(720) + -1*sqrt(720) + sqrt(720))*3) + -4)**2.\nAnswer: 48*sqrt(5) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2922823 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 0*u - 3*u + 15 = 0, -3*u - 45 = -4*m. Suppose 3*v + v - 142 = -3*k, 0 = 5*v - 5. What is the remainder when k is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*r + 5*i - 2, -4*r = 5*i - 23. Suppose 7 = v - 77. Calculate the greatest common factor of r and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/10 + 35\/(-25). Suppose -6 + 0 = -2*x. Suppose 3*a + x*c - 24 = 0, -8 = 2*a + 3*c - 29. Put a, -5, q in descending order.\nAnswer: a, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -90 - -521. Calculate the remainder when 1301 is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xc when two letters picked without replacement from xhxcccxvvgcggggg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -557754 divided by 6?\nAnswer: -92959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(1\/2))**1*((g**3*g)\/g)**27 assuming g is positive.\nAnswer: g**(163\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/28 + (-18)\/945. Let m(q) be the first derivative of -24\/5*q - k*q**3 + 2*q**2 - 14. Factor m(u).\nAnswer: -4*(u - 3)*(u - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 p, and 1 e when four letters picked without replacement from {p: 2, e: 1, a: 1, y: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 8*u**3 - 10*u**2 - 32*u + 103. What is the thousands digit of f(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (5 - -1) + -28 + 20?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express v**2 - 282*v - 69 + v**3 - 7*v + 69 as r*v**2 + h + y*v**3 + b*v and give b.\nAnswer: -289","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**3 - 21*x**2 - 13*x - 21. Suppose -54 = 7*t - 4*t. Calculate the remainder when 7\/((-3 + 0)\/t) is divided by a(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q. Let c(j) = -11*j - 1. Give 2*c(r) + 9*t(r).\nAnswer: 5*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t**2 - 5*t + 4. Let y(x) = 7*x**2 + 11*x - 9. Determine 9*v(g) + 4*y(g).\nAnswer: g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5781013917 to the nearest integer?\nAnswer: 1795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 336 and 126?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -6, 3, -17, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -215435\/91 + 2368. Calculate the common denominator of w and -4\/1339.\nAnswer: 9373","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 16642635?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 312 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a - 6*a = 3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 4*x - x)*(-2*x**3 - 2 + 2) + 0*x**4 - x**4 + 2*x**4 + 15*x**4 - 12*x**2 + 6*x**2 + 5*x**2.\nAnswer: 14*x**4 - x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -482 + 481. Let t(f) be the first derivative of 35*f**4\/4 - f**3\/3 - 1. Let l be t(s). Is -36 at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i + 3*g = 3*i - 14, 2*g - 8 = i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 - -25. Let v = 17 + o. Let a be 31\/11 + (-30)\/(-165). Solve l - v = 5*i, 4*l = 3*i + l - a for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -w**3 + 797*w**2 + 73081*w + 813163 = 0.\nAnswer: -71, -13, 881","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170390 + 79601 + 90789 - 37*o + 38*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001700992 rounded to seven decimal places?\nAnswer: -0.0001701","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaaf when four letters picked without replacement from aflllaaalaflglaalgfa?\nAnswer: 14\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 117 and 22128223?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 20269863?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*q**2 - 172*q**2 + 207*q**2 + 33*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + a - 1. Let d = -16 + 20. Suppose -d = -5*v - 9. Let g(w) = -5*w**3 - 2*w**2 + 3*w - 2. Let b(r) = v*g(r) + 2*m(r). Let b(q) = 0. What is q?\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.9? (a) 2\/11 (b) 0.2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -353*g - 2821. Determine t(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 10) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 174, 381, 588?\nAnswer: 795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6492366 a multiple of 502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 29*o**2 - o + 1. What is a(-1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k. Let w(a) = 713*a**2 + 10*a - 5. Let l(r) = 25311*r**2 + 354*r - 177. Let g(z) = 5*l(z) - 177*w(z). Give g(b(j)).\nAnswer: 1416*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 381 + 105 = 6*j. What is the highest common factor of 27 and j?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1251 + 3.8749. Which is the fourth smallest value? (a) z (b) -0.13 (c) 13 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -6*p - 10. Let b(u) = -2*u - 3. Let s be 44\/10 - 18\/(-30). Determine s*f(d) - 16*b(d).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) -3 (c) -1 (d) -14 (e) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37\/((-4107)\/185))\/((-50)\/(-1230))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15145*q - 15220*q + 31722*q)*(0*q**4 + q**4 + q**4).\nAnswer: 2714*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 + -29. Let d = 90 + -96.1. Let m = y - d. Which is smaller: -4 or m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7750248, 7750250, 7750252?\n\"Answer: 2*n + 7750246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 c when two letters picked without replacement from {t: 1, r: 1, c: 1, b: 3, p: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -4*c - 14. Let h be y(-8). Let v(k) = k**3 + 10*k**2 + 0 + 5 + 11*k + 0. Let p be v(-8). What is the greatest common factor of p and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -56, -58, -60, -62, -64?\n\"Answer: -2*g - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -c9c69?\nAnswer: c9c69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, b: 1, j: 3, h: 1, u: 1, p: 2}. Give prob of sequence ptht.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of 119*a**6\/60 - 131*a**5\/60 + 4*a**2 - 9*a. What is the third derivative of z(i) wrt i?\nAnswer: 1428","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5280*m = -5281*m + y - 7, 0 = 32*m - 5*y + 62 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -8*s - 11. Calculate the remainder when 171 is divided by b(-5).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26558932251 + 26558932251 + 2*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14763113 to the power of 1\/3, to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52709.\nAnswer: 52709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**3 - 3*u - 1. Let t(z) = 2*z**2 - 9*z - 13. Let h(l) = 3*n(l) - t(l). Let b(w) = 5*w**3 - 2*w**2 + 10. Calculate -5*b(p) + 4*h(p).\nAnswer: -p**3 + 2*p**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-28))\/(12\/(-24)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5*v + 3*v = -1867, 3*i - 4*v = 1891. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a microsecond in nanoseconds?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77883120 and 4488.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 324689000 and 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28212 - -32234. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/28 and 113\/3401776.\nAnswer: 3401776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -27 and -3023641802.632.\nAnswer: -3023641829.632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 37 in descending order.\nAnswer: 37, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -13743 + 13722 - ((3 - 0) + 1)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17397577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -197, -425, -683, -971, -1289, -1637?\n\"Answer: -15*w**2 - 183*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 123302020113 - -11?\nAnswer: 123302020130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7802\/6)\/((-2)\/(-3)). Let t = 1988 - r. Let c = 3293\/260 - 112\/13. Find the common denominator of t and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - -11) + 5 + -6 - 10?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 792.7365 nanometers?\nAnswer: 0.0000007927365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12077 - 2424?\nAnswer: -14523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pjjmppjpimpiipppjjpp. Give prob of sequence mmip.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 635 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 x when three letters picked without replacement from {m: 4, f: 1, x: 2, p: 2, a: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - ((-18 - -14 - 16) + 8)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 76.07 - -0.93. Let f = -5 + c. Let m = f + -72.053. Round m to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8258540.\nAnswer: 2, 5, 19, 103, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**4 + 2*v**5 - 2*v**4)*(3 + 0 - 1)*(-429 + 1096 - 628 - 601).\nAnswer: -2248*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8572740 divided by -6?\nAnswer: -1428790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x**5 - x**4 - x**3 + 3*x**2 + 2*x + 2. Let a(t) = t**5 + t**3 - t**2 - t - 1. Let n(c) = -6*a(c) - 3*v(c). Factor n(u).\nAnswer: 3*u**2*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1 - 126*j**2 - j**5 + 742*j**3 - 679*j**3 - 870*j**2 + 1304*j**3 wrt j.\nAnswer: -60*j**2 + 8202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11882\/1605 + -1\/321. What is the common denominator of y and 2*(-565)\/60 - 0?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 347.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - 4*q + 5. Let w be k(5). Let c be w\/15 + (-160)\/6. List the prime factors of (c\/(-6))\/(12\/144).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-3*sqrt(57))\/(sqrt(588)\/sqrt(4)).\nAnswer: 12*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5624891, 5624892, 5624893?\nAnswer: 5624894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11874955?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 3*d + 584. Suppose 0 = -4*b - 4*y + d, -3*y = -5*b + 166 + 191. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48 - 27. Suppose -2*j - j = -f. Calculate the lowest common multiple of j and 176\/11*2\/4.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 31110 + 2?\nAnswer: 31112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 16*b - 9 - 18 + 27. Let p(j) = j. Let g(z) = z. Let t(k) = 5*g(k) - 7*p(k). Calculate s(t(q)).\nAnswer: -32*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fsafssssaofaaaofajf. What is prob of sequence aj?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 71573700463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -108 - -71. Let l = w + -87. Let o be (-4)\/6 + l\/(-6). Solve 0 = 5*f - f - o for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -3\/5 (c) 2\/9 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - o - 4. Let i be z(3). Let s be i\/(-8) + (-9)\/(-4). Suppose -2*k = -6*k - 4*q + 16, -s*k = 3*q - 8. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/3 (b) -0.3 (c) 11.2 (d) -3 (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/5*h**2 + 8\/5*h + 4\/5 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xhxx when four letters picked without replacement from {s: 1, h: 3, x: 6, g: 3, j: 5, o: 1}?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7255 - 7261. Let q(f) = f - 6*f**2 + f - f**3 - 2 - f. Calculate q(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 11899 (c) 0.3 (d) -2 (e) -5 (f) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95934258.\nAnswer: 2, 3, 7, 108769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5414 + 5846. What is the remainder when i is divided by 62?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21\/5 + 4. Sort -2\/7, 0.4, s.\nAnswer: -2\/7, s, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - v**2 + v. Let k be b(1). Let u(r) = 0*r**2 - 7*r + 89 - r**2 - 91. Let o be u(-6). Solve -o*g = -4*a + 4, a + k + 1 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, w: 4, m: 2, f: 1, n: 1}. Give prob of sequence wwvw.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 212 = -y + 2*t, 2*t = 5*y - 1081. What is the greatest common factor of y and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -175571, -351199, -526827, -702455, -878083, -1053711?\nAnswer: -1229339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 682*n. Let b(j) = 35543*j**2. Determine w(b(k)).\nAnswer: 24240326*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -47.920318 * 0.02\nAnswer: -0.95840636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 11:28 AM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/3? (a) -4\/31 (b) -1\/8 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3404 + 27177\/8. Calculate the common denominator of 79\/4 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*s - 2*s. Suppose 0*h + s*h - 62 = 0. What is the remainder when h is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = g - 3 - 4, 3*g + 3*v + 3 = 0. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2946.4266 months to decades.\nAnswer: 24.553555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -s**4\/11 - 7*s**3\/11 - 9*s**2\/11 + 88*s - 102. Let n(d) be the first derivative of u(d). Suppose n(z) = 0. What is z?\nAnswer: -3, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/19 (b) -89 (c) -50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32935 by 5.\nAnswer: 6587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 5, 4*u + u = 3*s + 2. Let t be (-34)\/(0 - (3 - s)). Calculate the highest common factor of 51 and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.3 - 0.7. Let o = -22 + u. Let k = o + 23.6. Are -2\/3 and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96422687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*f + f. Let s(y) = -3*y + 0 - 3 + y**f - 5. What is the units digit of s(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-7))\/(((-144)\/21)\/(-4)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1402662050?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 3*b**2 - 2*b - 1. Let x be s(-2). Let d be 14\/(-8) + x\/4. Suppose 3*l + 5 = 4*l. Sort l, d, 0.\nAnswer: d, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1*-4*sqrt(833))**2 + 3 + -1 + (-4*((2 + sqrt(833))**2 + sqrt(833)) - sqrt(833)*2*-6).\nAnswer: -56*sqrt(17) + 9984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9091 is divided by 1113.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26974911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - r**2 + r - 1. Let y(f) = f**3 + f**2 + 3*f - 3. Give 6*u(s) - 2*y(s).\nAnswer: 4*s**3 - 8*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1855328982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 146812403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 99*(-12)\/36*(-70)\/55.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24477865 to the power of 1\/3, to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 332 - 321. What is the hundreds digit of (0 + (1711 - -2))\/(n + -10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + -2. What are the prime factors of (-1)\/7 - 72\/u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, n: 2}. Give prob of sequence ddnn.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + s + 33. Let u be i(0). Let a = -16 + u. What is the remainder when -1*49\/2*-2 is divided by a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 526240 and 9867.\nAnswer: 1578720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 591 = 5*f, -4*f - w = 4*w + 495. Let i = f - -56. Let s = i - -64. Solve s = x + z + 1, -x + 3*z - 5 = 4*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a + 6. Let w be b(-4). Let f = w + 2. Let s = 6 + -4. Solve -s*q - 3*q = f for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q + 7. Let i be c(7). Suppose i = -5*t + 8*t - 303. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/8 - (-26)\/(-8). Let s = -8 - w. Let g = -649 + 650. Sort s, g, 0 in ascending order.\nAnswer: s, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 4*o - 2*o + 9, -5*u = -5*o + 30. What is the third derivative of -o*x**2 + 17*x**2 + 24*x**3 - 5*x**2 wrt x?\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 19*z - 4. Let x(j) = -20*j + 5. Suppose f = 4*f + 3, 0 = -4*b + 3*f - 17. Let v(d) = b*x(d) - 6*y(d). Is v(-2) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**3 - 3 + 3)*(10*x**2 + 8*x**2 + 4*x**2)*(-1 + 6 - 2)*(-1 - 3 + 2).\nAnswer: -396*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001111010101 - -11111101011100001?\nAnswer: 100001111010110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 145 and -1.61 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1826615?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 129 - 8a32ab?\nAnswer: -8a3182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - -2)\/(-1) + 22. What is the common denominator of m + ((-22)\/(-12) - 2) and (-1)\/(-1) + 45\/(-8)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 818, 3316, 7490, 13346, 20890, 30128?\nAnswer: 41066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y = 21*y + 53*y - 5016. Calculate the remainder when y is divided by (10\/(-3))\/((-1)\/9).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 0. Let t(x) = x**3 + 7*x**2 + 5*x - 7. Let r be t(-6). Let n = p + r. Solve 4*c + 12 = 2*g, 4*g - n = -18 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -197, -204, -211, -218?\nAnswer: -225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40289 divided by 40289.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30922 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**3 + 2*q**3 - 7*q**3)*(-1 - 3*q + 1) - q + 9 + 2*q**4 - 7 - 2.\nAnswer: 17*q**4 - q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86931 = -61*k + 17074. Is 70 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-9)\/21)\/1)\/((-5)\/500*(-3408)\/(-994))\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2*g**3\/21 - 75896*g**2\/21 - 12504512*g\/7 = 0.\nAnswer: -488, 0, 38436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c758d (base 16) in base 7?\nAnswer: -33523454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 2*b**2 + 2*b + 1. Let j be l(2). Suppose 0 = q - j*q + 84. List the prime factors of q.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 4 = -2*o - 10*w, 5*w + 20 = 0. Find the common denominator of (-350)\/24 + 4 + -2 and -4 + 4 - o\/(-44).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwew when four letters picked without replacement from {n: 11, w: 7, e: 2}.\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 5*o**2 + 57*o + 621. Is 3 a factor of g(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -254*r + 1099 - 83 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**4 - 480736*i**3*j**2 - i*j**2 - i + 903*j**2 - 3*j + 105 wrt i?\nAnswer: 12*i**2 - 2884416*i*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5*x + 21 = 0, -14 = -2*k - k + 2*x. Suppose -k*n - 3*h = -18, 2*h + 3*h - 2 = -2*n. Calculate the smallest common multiple of 22 and n.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10421 (base 7) in base 15?\nAnswer: b92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -157*h + 44896. Calculate u(284).\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 341834*a**3 - 509*a + 26998840 wrt a.\nAnswer: 1025502*a**2 - 509","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millisecond in microseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 2*j. Let t(b) = 3*b**2 - b. Let u(x) = 2*x. Let p(h) = -t(h) + 2*u(h). What is -5*l(r) + 2*p(r)?\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 475 - 1423\/3. Let r = 22 - 20. Let k = -251\/36 + 27\/4. Which is the smallest value? (a) k (b) r (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2534 + 2506 - ((1 - 6) + -2)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.19007 millennia in years?\nAnswer: 29190.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6402 times 776?\nAnswer: -4967952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 8*j + 191. Let o be b(-11). Calculate the greatest common divisor of 1751 and o.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p**3 - 12*p. Let o(u) = u**3 + u. What is -k(b) - 12*o(b)?\nAnswer: -9*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 1)\/(-1)*(18 - 19). Suppose 425 + 1357 = z*c. Is 27 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 216*u - 31. Is k(4) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -28*j + 7*j + 946. Suppose 4*d + 0*d - 512 = 0. What is the remainder when d is divided by j?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(4114)*-5 + sqrt(4114) - sqrt(4114) - sqrt(4114) - (sqrt(4114) - sqrt(4114)*2)*-5)\/(sqrt(18) + 4*sqrt(54)\/sqrt(3) + -1*1*sqrt(18)).\nAnswer: -121*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -341574.135 + 341553.0350099. Let l = 21.1 + f. Round l to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.26 - 0.16. Which is the nearest to 1\/2? (a) -5 (b) 2\/9 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k - 4814 + 4786 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2633 - 5263\/2. Let o(s) be the second derivative of -3\/4*s**4 - 3\/2*s**2 + 8*s + 0 + 3\/20*s**5 + m*s**3. Let o(y) = 0. What is y?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 7*l**2 - 3*l - 9. Is n(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 184246\/31 at most 5942?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-24)*(-12)\/30?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1811833.\nAnswer: 29, 62477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, d: 1, n: 1}. Give prob of sequence rrdr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 187.8 - 188. Which is the nearest to t? (a) 0.3 (b) 2 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-15)*5)\/(454\/5302914). Let i = z - 7787. Let s = i - -13913\/1362. What is the common denominator of s and 13\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of n**2*p*x**2 - 16*n**2*x**2 + n**2*x - n*x + 35*p*x wrt x?\nAnswer: 2*n**2*p - 32*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j**6*o + 2005*j**3 + 11*j**2 - 711*j - 2*o wrt j?\nAnswer: 120*j**3*o + 12030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4*g = 68, n + g - 14 = 16. Solve -5*o - s - n = -0*s, -4*s - 9 = o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72662 is divided by 18124?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -2, -5, -20, -217 in ascending order.\nAnswer: -217, -20, -5, -2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 314*i + 553*i = -236*i + 148*i + 19100 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.339992 + -7.34. What is c rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/6)\/(1\/(-3)). Let c(q) be the third derivative of 0*q**3 - 72*q**2 + 0*q + 0 - 1\/6*q**4. Calculate c(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 + 119 = 12*s. Solve -4*l + 5*w - 16 + 18 = 0, 0 = 5*l + s*w - 25 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffqqffffqfffff. Give prob of picking 2 q.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -12*(10\/(-2) + 4). Let i = x - 10. Suppose 120 = i*z + 2*z. Solve 10 = -4*s + z for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 151\/3 - 6\/(-9). Suppose -u - 3*a = -t, 0 = -4*u - u - 2*a + 216. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + l + 3. Let k be r(4). Let h(w) = -w**3 - 9*w**2 - w + 1. What is the units digit of h(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**3 + 5*c**2 - 11*c + 46. Let j be y(4). Let t = -208 + j. Solve -t*o - 8 = 2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 27912637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3*x = 5*h - 65, -h = 4*x - 20. What is the remainder when 79 is divided by h?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8 - -2) + (-1)\/(-1). Let q = 76 - 65. Let l = q - y. Round l to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -11\/6*l**3 + 0*l**4 + 1\/5*l**5 + 0*l**2 - 4*l + 0. Let t(b) = b**3 - 3*b. Determine 6*c(v) - 22*t(v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -1. Let a be (-1)\/(5\/(-15))*-1. Let c(m) = -m - 1. Give a*c(t) + 3*h(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 54385323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**2 + 7*r - 1. Let q(n) = -n**2 + 3*n - 1. Let j(f) = f + 1. Let w(m) = 6*m + 14. Let x be w(-3). Let i be j(x). Determine i*d(s) + 7*q(s).\nAnswer: -s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2*sqrt(32) - (sqrt(98) + -1 + -2))**2.\nAnswer: -60*sqrt(2) + 454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14210 or -14217?\nAnswer: -14217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -366 - -356. Let p = 5 + k. Which is the second biggest value? (a) p (b) -1\/4 (c) 1 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/5 + 80298*f\/5 + 32120.\nAnswer: -(f - 80300)*(f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2525*(-546)\/5850)\/(14\/12*2).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 152, 306, 460, 614, 768, 922?\nAnswer: 1076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 48 + -1 - (330 + -281)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/(-693)*-22)\/(2\/(-30))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 999?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-91))\/(10812\/(-338) + 32).\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -110, -130, -162, -206?\n\"Answer: -6*g**2 - 2*g - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2543113g in milligrams?\nAnswer: 254.3113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2020*u + 7410 = -1926*u + 3699*u for u.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 278.653 days?\nAnswer: 24075619200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 6*v - 1. Suppose 28*o = 24*o + 44. Let u be j(o). What is the greatest common factor of 26 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 - 8*x + 3. Let k(m) = -2*m. What is k(j(q))?\nAnswer: -2*q**2 + 16*q - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*n*w**4 + 8*n*w**2 + 2*n*w + 3*n - 389*w**4 + 22959*w wrt w?\nAnswer: 72*n*w**2 + 16*n - 4668*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 41*n**2 - 220*n + 23. What is the lowest common multiple of d(7) and 48?\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**4 - 495*d**3 + 837*d**2?\nAnswer: -24*d - 2970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -10*k**2 + 1. What is i(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 91214611 to the nearest integer?\nAnswer: 9551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25828196?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.854098 meters to millimeters.\nAnswer: 1854.098","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7144251?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6\/1 - (-5 - 455).\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65294.04g in micrograms?\nAnswer: 65294040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2250 is divided by 46?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 36451242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/2 - 267427*x + 1604553\/2.\nAnswer: (x - 534851)*(x - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ksdjdsjjuj. Give prob of sequence sk.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60273*l - 31360 = -59293*l for l.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25 and 86225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -m**8\/1008 + 2*m**7\/315 - m**6\/360 - m**5\/18 + m**4\/18 + 4*m**3\/9 - 5*m**2. What is b in o(b) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2505708 (base 9) to base 16\nAnswer: -14c9ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -179 times -12\nAnswer: 2148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -7, -0.06, 1\/4, -1\/71, 1\/15?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5713662 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -14, -4, -0.1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -5*l - 20, 0*q = 3*q - 2*l - 10. Solve 4*g - 2 = -3*x + 2, 12 = q*x + 5*g for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 4:35 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sjjjssyjjjysj. What is prob of picking 1 j, 2 s, and 1 y?\nAnswer: 84\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(204) + sqrt(204)*2 - sqrt(204) - sqrt(204)) + sqrt(204) - sqrt(204) - sqrt(204))*5)\/(sqrt(72)\/((sqrt(48)\/sqrt(2))\/sqrt(4) + sqrt(6))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 32*s - 87 = 29*s, 3*a = 4*s + 300. Put 5, a, 1 in increasing order.\nAnswer: 1, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c + 7. Calculate the least common multiple of u(-6) and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -69.94 + 0.94. Let x = z - -72. What is the closest to 1 in x, 1, 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 172?\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44534 + 79214. Is 120 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -92607319.\nAnswer: 8\/92607319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, h: 1, m: 1}. Give prob of sequence hm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00345580086 to 7 dps.\nAnswer: -0.0034558","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 9:56 AM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.6 + 1.4. Let n = 3711 + -3714. Which is the nearest to n? (a) q (b) 5 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3032756 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44 - 36. Suppose w + 3*p - u = 0, 3*p - 4 - 2 = -3*w. Let a(d) = -4*d**3 - 2*d**2 + 2. Let k be a(w). Solve -s = k*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qi when two letters picked without replacement from {f: 2, w: 1, o: 1, q: 1, i: 4}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 430 - 427. Solve f + 5 = x - 4*h, -3*h - 3 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 573*y**6 - 3*y**3 - y**2 + y - 18048 wrt y.\nAnswer: 68760*y**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vtt when three letters picked without replacement from avvatvavvtvvavat.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -v**6 - 9*v**2 + 7*v**2 - 9*v**4 + 24*v + 5*v**4 wrt v?\nAnswer: -120*v**3 - 96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -123*d**5 + 263*d**2?\nAnswer: -7380*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -86834, -176340, -265846, -355352, -444858, -534364?\n\"Answer: -89506*z + 2672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 4. Let y = 4 - 2. Let l be ((-3)\/2)\/((-8)\/(-16)). Let f(u) = 2*u**2 + 5. Let i(r) = l*z(r) + y*f(r). Calculate i(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/12 + 6\/4. Which is the closest to 0.6? (a) 0 (b) l (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 - -20. Suppose -76 = k*f - 8. What is the units digit of (-117)\/f + 12\/102?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - q + 188 = 0, 0 = -3*z - 0*q - 2*q + 284. Suppose 2*v = 2*c + z, -6*c + 2*c = 2*v - 68. Is 5\/(v\/(-22) - -2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.07880326 rounded to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35306.\nAnswer: 2, 127, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r*r*r*r**7*r)*((r**(-1\/2)*r)\/r)\/r)\/((r**(1\/7)*r)\/r*r**(1\/8)*r) assuming r is positive.\nAnswer: r**(-771\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q**3 - 4*q**3 + 10*q**2 + 5*q**2 + 47 - 22*q - 7*q**2 + 2*q. Let s be d(4). Solve 2*u - 33 = -s for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70656115.\nAnswer: 5, 23, 463, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 330*w + 2*w + 41*w + 131*w in the form n*w + b and give n.\nAnswer: 504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -75*o - 25. Is y(-7) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69243.\nAnswer: 3, 23081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -10*n**2 + 70*n - 465. What is l(8)?\nAnswer: -545","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4*p - 4. Let w(v) = -v. Let k(g) = -2*i(g) - 6*w(g). Let s be k(6). Which is the third smallest value? (a) 1\/2 (b) 0.4 (c) 5 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4 - 10 = 0. Let y = -10 - u. Suppose 4*s**5 + 31*s**y - s**5 + 27*s**3 + 21*s**2 + 6*s - 16*s**4 = 0. What is s?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1935, -8169, -22949, -50547, -95235, -161285, -252969, -374559?\n\"Answer: -712*z**3 - z**2 - 1247*z + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 + -25.99754. Round s to four decimal places.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19221*o**5 - 21*o**2 + 285?\nAnswer: 1153260*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 13*n**2 + 72*n - 829. Determine z(15).\nAnswer: 701","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155394 is divided by 40.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117080 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 68, 705, 2416, 5729, 11172, 19273?\n\"Answer: 88*a**3 + 9*a**2 - 6*a - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, -21, -19, -4?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 950*v + 4. What are the prime factors of w(1)?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.7604117 years?\nAnswer: 0.07604117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**2 + 64*y + 18. Let l be k(32). Let g(z) = z**2 - 20*z + 32. Let v be g(l). Is -20\/7 at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3256, 13045, 29360, 52201?\n\"Answer: 3263*u**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -3 - (2 + 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of 0 + 0*q**2 + 77\/20*q**5 + 121*q + 0*q**3 + 27\/2*q**4. Find the third derivative of o(f) wrt f.\nAnswer: 462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(700))*-5.\nAnswer: -50*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of f**4\/10 - 326*f**3\/15 + 32*f**2 + 648*f\/5 - 1920. Determine g, given that k(g) = 0.\nAnswer: -1, 2, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3002150721 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 16 = 4. Solve t*i - 8 = 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0144 to four dps.\nAnswer: 0.0144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -3*l**5\/20 + 5*l**4\/12 - l**3\/3 - 3*l**2\/2 + 2*l. Let x(n) = n**3 - n**2. Calculate v(p) + 5*x(p).\nAnswer: 2*p**3 - 2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gqqq when four letters picked without replacement from qqqqqqqqqqqqgqqqqqq?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -19193*q - 998034. Give w(-52).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24634.\nAnswer: 2, 109, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -7\/78?\nAnswer: -7\/78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3339*h + 3826 - 210844 for h.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -495 - -492. Let c(g) = -2*g + 6. Let o(t) = 5*t - 16. Let l(f) = z*o(f) - 8*c(f). Let v(u) = 2*u**2 - 35*u. Calculate l(v(y)).\nAnswer: 2*y**2 - 35*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - -7)\/(-1) + -32. Let l = 42 + r. Solve 3*j + 3 = l*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8470, -8486, -8514, -8554, -8606, -8670?\n\"Answer: -6*q**2 + 2*q - 8466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48.000027 + 48. What is p rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -581 + 577. Which is the closest to 1.2? (a) 2\/3 (b) g (c) -1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jnxnnxbrxnlx. Give prob of picking 3 x and 1 r.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from xexegeexgx.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 118*y - 1. Let c(d) = -d**2. Give p(c(i)).\nAnswer: -118*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 5:31 AM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -13 (b) 5 (c) 4 (d) 32\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, u: 4, v: 4, p: 1, m: 1}. What is prob of sequence pm?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = g + 1, -4*g = -3*g - 5*d - 9. Suppose -3542 = -g*b + 2054. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1954183.43975 and 0.5.\nAnswer: -1954182.93975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + 0\/1 + ((-291)\/3 - -100).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 570 - 569. Let r = -11 - -11. What is the closest to 2 in 7, r, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 567660040?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -547 + 14*j**2 + 547 - 22*j**2 + 12*j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i - 4*i + 3*i.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -66*g + 7396. Calculate b(112).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 + 20. Let h be (2 + j\/2)*(0 - 2). Let r be h + 10 - 4 - (-1 + 156003). Round r to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/4)\/(621\/(-92))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/(-4) + 9\/12. Suppose -i = a*i - 224. Is i a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -4*j + 79, 0*f - 19 = -j - f. Let q(r) = r**3 - 14*r**2 - 12*r - 15. Let x be q(15). Let w = -21 + x. Solve -4*s = -w*s - j for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28501 - -28502. Suppose -2*t + 2*h - h + 6 = 0, 2*t - 12 = 4*h. Let s be -2 - (2\/7 - t). Which is the nearest to f? (a) -0.5 (b) 2\/17 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z**3 + 67*z**2 + 4*z. Let l(b) = b**3 - 2*b. What is -2*i(s) - 4*l(s)?\nAnswer: 2*s**3 - 134*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4675.28 - -4583. Let q = 92 + f. Round q to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 33, 61, 91, 123?\n\"Answer: c**2 + 25*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a day in minutes?\nAnswer: 4680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -498143472682 and -0.5?\nAnswer: 498143472681.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 11201004663?\nAnswer: -11201005001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/(0 - 1\/(-3)). Let q = 25 + r. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43845597 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: Evaluate 4 - (0 - -1) - 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9\/2 - 17. Calculate the common denominator of l and 49\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002506 rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 83165985613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.052 times -26.91?\nAnswer: 1.39932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmm when four letters picked without replacement from {n: 14, m: 4}.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-6) + (-1818)\/(-54). Suppose 0 = -3*o + 2 + j. What is the remainder when 47 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2932343 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1672\/(-66) + 25 - (-5)\/(60\/304)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 a factor of 35227828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 1, -251 in ascending order.\nAnswer: -251, -5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 1:36 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0062341769 rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1164114 - 0.14041?\nAnswer: 1164113.85959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + 1 - 1)*(0*c - c + 3*c) + 83510 - 83510 + 2377*c**3 + (-5*c**2 + 4*c**2 - c**2)*(4*c + c - 4*c).\nAnswer: 2373*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 5, -0.3, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -60*x**4 + 30232*x**3 - 5076288*x**2 + 283820544*x + 37933056.\nAnswer: -4*(x - 168)**3*(15*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - -26 - (4 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2211 (base 3) to base 14\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 200 divide 1843800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -2. Let l(r) = -11*r + 2. Let b be l(-3). Solve -3*d - b = 2*i + 2*d, -2*d - 10 = n for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 410702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102000 + 12021201210?\nAnswer: 12022010210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, s: 2}. Give prob of sequence ss.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*r - 69*r - 74*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -853 + 2?\nAnswer: -851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -12*i**2 + 6*i. Let g(f) = 11*f**2 - 5*f. Let j(t) = 7*g(t) + 6*v(t). What are the prime factors of j(1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -840, -839, -838?\n\"Answer: x - 841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1115.1361805 and 0.8.\nAnswer: 1115.9361805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 1086*u**2 - 1 - 3094*u**2.\nAnswer: -2008*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 2 = 2*d, -136*m + d - 2 = -137*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 393239538 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 165 and 694023.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5 = -3*x. Put x, -30, 4 in increasing order.\nAnswer: -30, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/16 + -1 - 78\/(-8). Solve -3*r + 8 = -5*r + 2*h, 5*h = d for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -217 = -5*a + 2*y, a + 2*y - 61 = -2*y. Is 20 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75\/15 - (-156)\/(-33).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 15*d**2. Let x(y) be the second derivative of y**6\/240 - 11*y**4\/12 + 42*y. Let j(p) be the third derivative of x(p). What is j(k(l))?\nAnswer: 45*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 405524328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(19))*5)**2 + 5 + 0 + (-1 + sqrt(2299) + sqrt(2299))**2.\nAnswer: -44*sqrt(19) + 9677","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ottototttot. What is prob of picking 2 o and 1 t?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/5239 and 9\/13.\nAnswer: 5239","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2304087*l + 3. Let u(w) = -w**2. Calculate s(u(m)).\nAnswer: -2304087*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15299321?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -57 + 60. Calculate the remainder when 6 is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/12)\/((-3)\/45*1). Which is the biggest value? (a) -9 (b) g (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82 + -72 - (-1 + 10 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 109852\/13 - 8446. Let h = 2309\/559 - m. Which is smaller: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 9 + -11 + -1 + 15 + (-9 - -110)?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)*1)\/(-3*sqrt(72)).\nAnswer: -2*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.414 and 364?\nAnswer: 364.414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 61470.95 millennia?\nAnswer: 6147095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29661.4kg in micrograms?\nAnswer: 29661400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 3*j - 4. Let h be i(-3). Let m = -3 - -2. Let s = m - h. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37329 + 37671. Let b(c) = -340*c**3 + 2*c**2 + c. Let h be b(-1). Which is smaller: x or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1488191003?\nAnswer: 13, 114476231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 7, -1, -4, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j**3 + 1 + 47*j - 1 - 50*j + j**2 to s + k*j**3 + x*j**2 + h*j and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -13*z - 1. Let m(o) = -3*o. Let h(g) = -2*j(g) + 9*m(g). Let k(b) = b**2 + 2. Let w be k(2). What is h(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46 (base 12) to base 14\nAnswer: -3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 72 - 21. Let z = -55 + f. Suppose 26*t = 24*t - 12. What is the biggest value in z, t, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.02052514 - 6.50673\nAnswer: -8.52725514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 32 = 4*f. Let i be (-1)\/3*-3 + -7. Let n = i + 7. Solve -n + 25 = -2*a + 5*c, 0 = -4*c + f for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p - 8*p + 16*p.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 145980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48 - -41. Let f = 1 + 1. Let i = f - y. What is the greatest common factor of 72 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -0.083 (c) 360 (d) 2\/3 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/4 and 71\/214?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-38)\/((-2)\/(-1) + 0). Let q = u - -22. Let v = 0 - 0. Solve v = m + 4*m + 5*x, q*m - x = 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = 3*f + 4*g - 0*g, -3*f = g - 84. Suppose 0*s - 3*s - p + 358 = 0, -p - 362 = -3*s. Let w = s - f. List the prime factors of w.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*t = -55*t - 399. Suppose -52*f - 160 = -t*f. Calculate the greatest common divisor of 4 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*u - 257 = -345. Sort -113, -4, u in ascending order.\nAnswer: -113, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 864048.3mm?\nAnswer: 864.0483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (200*v + 11*v + 40*v)*(-2*v + v - v) + 2*v**2 + 2*v + 3*v**2 - 3*v**2 to the form m + g*v + j*v**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 652.1039 hours in minutes?\nAnswer: 39126.234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(315) + sqrt(315) + (sqrt(315) - (sqrt(315) - (sqrt(315) + -1*sqrt(315) + sqrt(315)))))\/sqrt(9) - sqrt(35))\/sqrt(7))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 536810685 to the nearest integer?\nAnswer: 23169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 7*u = 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 65 - 21. Find the third derivative of 17*h**5 + 9063*h**4 - 9063*h**4 - u*h**2 wrt h.\nAnswer: 1020*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38888583.3us in weeks?\nAnswer: 0.00006429990625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -1938031.\nAnswer: 3\/1938031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 3:05 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 826*u - 11. Let c be k(5). Suppose 3413 = 4*h - c. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 264 - 401. Let a = 161 + v. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, c: 2, s: 4}. Give prob of picking 1 s, 2 o, and 1 c.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-70 - 0)) + 75 + (-62 - 14)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 224.650147 - -0.130853. Let j = -225 + q. What is j rounded to 2 decimal places?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1860774869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*c = 196*c + 111*c - 2948. Let q = 130 + -91. What is the remainder when q is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.77349 rounded to three dps?\nAnswer: -0.773","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/2 + (-12)\/(-8). Suppose -b + 7 = 2*n, -v*b - b - 4 = -3*n. Solve 3*o - n*i = 6, 2 - 8 = -2*i for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.283 - -3.458. Let b = -57.185 - f. Let y = b - -62. What is y rounded to one decimal place?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 464.08?\nAnswer: 928.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.5 - -33.5. Let l = 657 - 620.5. Let f = l - w. Which is the smallest value? (a) -3\/2 (b) f (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 1768*k - 29634. Give v(17).\nAnswer: 422","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y**2 + 2*y - 5. Let i be g(2). Let l(j) be the second derivative of j**4\/12 + 5*j**3\/3 + 17*j**2\/2 - 526*j. Determine l(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-115)\/(-9) - 28\/(-126). Let l be (-3)\/(-4) + (-1395)\/(-12). What is the highest common factor of l and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58 + -37. Let a be 3*-1 + 7\/(r\/18). Solve a = -3*y - 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 6) + (-4)\/(-8) + (-230)\/20?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-1 - 5)*60. Suppose 0*n + w = 5*n. Let r(d) = 5*d**3 + 6*d**2 + 6. Let k(i) = -i**3 - i**2 - 1. Calculate n*k(j) + r(j).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3424*u = -3414*u - 60. Calculate the remainder when (12\/(-10))\/(-3)*130 is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 84 = 66. Solve 0 = -11*q + i*q - 15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41300 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17880 + 8426. Let k = z + 368738\/39. What is the common denominator of 73\/15 and k?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - c - 1697, a - 3*a + 4*c = -1706. Let m = a - 836. Solve 5*x - 18 = m*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 62, 2, 12 in decreasing order.\nAnswer: 62, 12, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6003.5901858 + 1?\nAnswer: 6004.5901858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -654, -655, -656, -657?\nAnswer: -658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.9 + -0.1. Let f = x + 2. Which is the closest to 0.3? (a) 0.3 (b) -4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 20*b - 1. Suppose -3*r + 3 = -0*r. Calculate the remainder when n(r) is divided by (-58)\/(-6) + 0 + 2\/(-6)*-4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + v - 3, -5*w - v = -2*v - 33. Suppose 12 = 3*l - w. Let j(h) = -7*h + l*h - 2*h**2 + 11*h**2. Give j(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tfttk. Give prob of picking 2 k.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -1. Let t(c) = c**3 - 3*c**2 + 3*c. Let k be t(n). Find the second derivative of -2*a**4 + 0 + 0 + k*a wrt a.\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -7 - 2\/9*a**3 - 7\/12*a**4 + 0*a**2 + 0*a. Let r(v) = 0. Calculate v.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c - 394*c**2 - 2*c - 8287*c**2.\nAnswer: -8681*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/53691277 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57421 and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 + (-2 - 1) - 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + (-3)\/5 + (-4 - -3). Let a(d) = -2*d - 2. Let l(g) = -5*g - 5. Let u(w) = 7*a(w) - 3*l(w). Let p be u(-1). What is the closest to 1 in i, -0.1, p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((68\/(-18))\/(-17))\/(7\/(-21)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68, 143, 204, 245, 260, 243, 188?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(2) + 0)**2 + -1*sqrt(50).\nAnswer: -5*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 581\/2*(-2260)\/(-93790)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*b + 16. Let w = 51 + -28. Suppose b*h - w = -2. Solve 0 = 3*t - h*t + 20 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*p = 627*p + 8998 + 3224 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 15*l**2 - 16*l + 26. Let x be h(14). Let d be (3\/2)\/((-6)\/16). Suppose -6*c + c = -25. Put c, x, d in descending order.\nAnswer: c, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of 13*y**5\/60 + y**4\/8 + y**3\/3 + 4*y**2. Let u = 52 - 18. Calculate the remainder when u is divided by p(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -70\/3 and 14\/11505?\nAnswer: 11505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i**3*u - 111688*i**2*u - 3188667*u with respect to i.\nAnswer: -6*i**2*u - 223376*i*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 4*x**2 - 3*x + 7. Let u be a(3). Suppose -u = 3*t + 2. Let p(i) = 3*i + 9. Let o be p(t). Solve 3*q - 6 = -3*s - o, 0 = -s + 4*q - 8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-0.425976\nAnswer: -1.277928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-36337*t + 64455*t - 62446*t + 216440*t - 39260*t + 264976*t)*(0 + t + 0) in the form f*t**2 + v + s*t and give f.\nAnswer: 407828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 378*u - 382*u. Let g be (0*(-4 - u))\/2. Solve g = -3*t - t - 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1183\/1341 - -1\/149. Let a(o) be the first derivative of 7 + 2\/9*o**3 + 2\/9*o**4 + 2\/45*o**5 - w*o - 4\/9*o**2. What is q in a(q) = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40006 and 1928.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + -10330421?\nAnswer: -10330432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3989*p - 3994*p - o - 6 = 0, -o - 6 = -3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -0.5, -2\/3, 1, 4, -2\/275 in ascending order.\nAnswer: -2\/3, -0.5, -0.2, -2\/275, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4\/2 - 104*u**3 + 8112*u**2 - 281216*u + 3655808.\nAnswer: (u - 52)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 4:34 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -81, -113, -147, -183, -221?\n\"Answer: -i**2 - 29*i - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 9*d + 9. Let l be a(9). Suppose -4*x = x - l. 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: Calculate the common denominator of -19\/18 and -27\/628.\nAnswer: 5652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -14*w**5 + 2*w**4 - 8*w**2 - 8. Let s(q) = 9*q**5 - q**4 + 5*q**2 + 5. Let r(j) = -5*c(j) - 8*s(j). Factor r(b).\nAnswer: -2*b**4*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -423 - (4\/(-18) - 144\/81). Let x = a + 483. Calculate the highest common factor of x and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -2*c**3\/3 - 21. Let w(j) = -20*j. Calculate q(w(d)).\nAnswer: -800*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 825 by -825.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*t + 4*r, 0*t + 3*r = 3*t + 9. Sort t, -3, 5, 1 in ascending order.\nAnswer: -3, t, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 79*r**2 + 13*r + 14. Let f be m(-3). Calculate the highest common divisor of 2 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/14*(-3)\/(225\/(-25)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27883 times 4?\nAnswer: 111532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 20 = -5*f + 6*m, -2*f - 4*m = -8. Solve 2*s + 4 = -f for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, -0.06, 7040, -3 in ascending order.\nAnswer: -3, -4\/5, -0.06, 7040","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20284164487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 5 - 17*d**2 + 23*d**2 - 5. Let r(v) = 4*v. Calculate m(r(a)).\nAnswer: 96*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wmm when three letters picked without replacement from {m: 8, w: 3}?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 10 = a, 4*a + 0*a - 4*t = 28. Suppose -3*u + 2*v + 2 = -a*u, -3 = u + 3*v. Determine l, given that 0 - 1\/4*l**2 + u*l = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 132 - 187. Let x = -81 - y. Let p = x + 26.4. Sort 1, 2\/25, 1\/3, p in increasing order.\nAnswer: 2\/25, 1\/3, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t + 8. Let i be v(8). Let o be (-7)\/(-5) + 1 - 2. Which is smaller: i or o?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.6321 + 0.63761. Is c less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41 and 14760?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4376*b + 4770 = 2199*b + 2192*b. Suppose -6*p + p - 109 = -3*s, -p = 4*s - 130. What is the lowest common multiple of b and s?\nAnswer: 3498","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 5*f - 3*f)*(2897 - 1118*f**2 - 2897).\nAnswer: 2236*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 30 + 7 = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 times -1058739\nAnswer: -31762.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9057*w**3 + 9057*w**3 - 228*w**5 + (-3*w**2 - 2*w**2 + 4*w**2)*(3 - 2*w**3 - 3) + 0*w**5 + 0*w**5 - 2*w**5 + (4 - 4 + 2*w)*(-3 + 3 + 3*w**4).\nAnswer: -222*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31911098*d**2*t**4 + 34*d**2*t**2 - d**2*t - 347*d**2 + d*t + 99*d + 2*t**4 wrt t?\nAnswer: 765866352*d**2*t + 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 4*n**5 + 284*n**4 + 6876*n**3 + 60244*n**2 + 77792*n - 145200 = 0.\nAnswer: -25, -22, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 11 = -5*q + 11, f = -3*q + 2. Calculate the least common multiple of q and 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r = -11*r - 4*o + 32, 63*r + 2*o = 53*r + 46 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + -7 + 4 + 13 + -8 + 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -7*p + 6. Give h(-3).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8453537 and 361?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of i**4\/4 + 2*i**3 - 6*i + 8. What is c(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 280092?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -249820?\nAnswer: -249818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10977 is divided by 180.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -187 - -191. Solve -5*f - k - 1 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 3:11 AM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 - 13. Suppose 0 = -8*n + j*n + 180. Let h(i) = i + 18. Let s be h(n). Solve 2*d + 4*v - 8 - 2 = s, 3*d = 2*v + 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 11 + -13 + 8 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-38)\/(-8) + 2\/8. Suppose -w - 5 = -0, -4*w - 27 = -q. Are q and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**2 - 4*z + 5. Let w be j(2). Suppose 4*o - 82 - 28 = w*p, -3*p - 131 = -5*o. Is 7 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 18. Give i(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of 0*l**2 + 3\/100*l**5 - 4*l - 1\/10*l**4 + 0 + 0*l**3. Determine r so that t(r) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 14*v**5\/5 - 51*v**4\/4 + 1006*v**3\/3 - v**2 - 3549. What is the third derivative of d(i) wrt i?\nAnswer: 336*i - 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + -1 - -2 - -20. Suppose -5*f = -2*y - d, 0*f + 2*y + 3 = -f. Let c(s) = 3*s**2 + 4*s - 2. Is c(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/2 - 1401*a**2\/2 + 28692*a - 184448.\nAnswer: -(a - 32)*(a - 8)*(a + 1441)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 58\/3, 2\/15, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 223b3b (base 13) to base 16\nAnswer: c5510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 7*a - 23 = -3*a, -2*i - 5*a = 16 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v. Let y(x) be the second derivative of 0*x**3 - 1\/24*x**4 + 0 + 3\/2*x**2 + 2*x. Let h(n) be the first derivative of y(n). Calculate h(p(t)).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/6 and 43\/665000.\nAnswer: 1995000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -513 - -1010. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40*t**2 - 10655*t - 10695.\nAnswer: 5*(t + 1)*(8*t - 2139)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 135.4074 - 119.70657. Let c = j + -15.7. Round c to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -379*u - 213 wrt u.\nAnswer: -379","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -141336485*p**3*y**3 + 203*p**2*y + 1084*p**2 + 33*p*y**3 - 9*p wrt p?\nAnswer: -848018910*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 32615, 65363, 98111, 130859, 163607, 196355?\n\"Answer: 32748*v - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1534 = -80*m - 574 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*n, 3*h + 13 = -n - 0. Is ((-3)\/h)\/((-3)\/(-942)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -42906.62311 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*w + 19*w + 54*w)*(2*w**2 + w**3 - 2*w**2)*(-2 + 5 + 7).\nAnswer: 600*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-1) - (-4 + 5 + -2). Let n = -2 - 2. What is the units digit of x - (2 - -18)\/n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1003 by 6.\nAnswer: 1003\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50677969 or -50677952?\nAnswer: -50677969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 13. Suppose -q*h + 21 = 5*t - 44, t + 11 = 2*h. Let o be 5\/(-2)*(-2 - -4) - -5. Solve -2*p - 2*w - h = 2*p, o = p + w + 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11607 is divided by 724.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 188988 and 32052.\nAnswer: 504786948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -140154006 or -140154004?\nAnswer: -140154004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - -100?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68320226 is divided by 1595.\nAnswer: 1591","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3344321.\nAnswer: 3344321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 1. Let c(z) = 4*z**2 - 4*z - 8. Determine c(o) + 4*j(o).\nAnswer: 4*o**2 - 4*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 6*k - 6. Give p(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 10:44 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 264078284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 + -112849\nAnswer: -112849.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 - -3.8. Let u = -4.3 + b. What is the third smallest value in -2\/11, u, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273200651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**25)\/a*a)\/a)**39 assuming a is positive.\nAnswer: a**(-975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1153536*r - 1153533*r = -3*q + 42, 3*q + 2*q = -r + 74 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-4))\/(3\/4). Let f(c) = c**3 + 2*c**2 - c + 1. Let t be f(o). What is the highest common divisor of 2 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -g**5\/140 - 9*g**4\/14 - 131*g**2\/2 + 134*g. Let y(d) be the first derivative of q(d). Solve y(j) = 0.\nAnswer: -36, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h + 10*h = 12. What is the closest to 17 in -0.3, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 281845 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13*(-4 + (7 - -2)) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 27\/4 (b) -2\/7 (c) 4 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -124\/7 + 18. Let z = -731\/1673 + 2\/239. What is the third smallest value in z, -3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4884 in 0.5, -0.4, 16.62?\nAnswer: 16.62","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 66*j + 4. Let s be n(-66). Let x(d) be the first derivative of -8 + 1\/12*d**3 - 1\/32*d**s - d + 1\/4*d**2. Let x(i) = 0. What is i?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a - 4. Let o be v(-6). Let f be 153\/3 - (5 - o). Suppose b = -0*b + f. Calculate the greatest common factor of 16 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -5. Let z = -7.1 + 7. Let j = z - h. Which is the nearest to j? (a) 2\/7 (b) 1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2678969260 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-6 + -1 + -2*45\/18.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1754.2 - 1754. What is the second smallest value in 0.09, 6, -4, y?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/8)\/((-6)\/(-5804)). Let z = b + 707. Let q = -5381\/10 - -537. Calculate the common denominator of q and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1655 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvnv when four letters picked without replacement from vvvnvvvvvvvv?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -6 + 13. Let w be (2 - -5)*g + 3 + 23. Suppose -w*z + 20 = -14*z. Which is the second smallest value? (a) 0.3 (b) z (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4\/3 + 10*j**3\/3 - 37*j**2\/3 + 20*j - 12.\nAnswer: -(j - 3)**2*(j - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27 - (20 - 49)) + (-35 - (2 - 4))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5372322 to the nearest integer?\nAnswer: 2318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 e when four letters picked without replacement from {t: 1, v: 4, o: 3, e: 10}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 28697 (base 12) in base 10?\nAnswer: 56275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 84 + 55. Let k be 3 - 0 - 0\/4. Suppose -k*x = -14 - 91. What is the remainder when u is divided by x?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*g + 322 = 0, 0 = -2*a + g - 34 + 344. Let m = -102 + a. List the prime factors of m.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/5*(-24)\/(-108). Find h, given that -8\/5 + 8\/5*h - v*h**2 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 164, -63, 18 in ascending order.\nAnswer: -63, -1, 3, 18, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 620\/35 + (-4)\/(-14). Suppose -3*p = -6*p + 18. Suppose b - p = 6. Calculate the highest common factor of f and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209 = -29*v - 93. Solve 3*i - 8*i - 13 = 3*b, -v*i = -3*b + 32 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i + 0*i + 5*i)*(7 + 7*i - 7).\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -29*v**8\/336 - v**6\/60 + 4*v**5\/15 - v**3\/6 - v**2 + 8*v. Find the third derivative of x(s) wrt s.\nAnswer: -1740*s**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32213, -64410, -96571, -128696?\nAnswer: -160785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 3*f**2 - 13*f - 1. Determine a(5).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -13. Suppose -2*u - z = -0*u, 4*f + 3*u - 36 = 0. Suppose -5*c - 15 = -95. Calculate the lowest common multiple of f and c.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1748 - -1758) + (2 - -18) + -1 + 8\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3 - h - 3. Let p(w) = w. Let z(c) = -2*c + 4. Let x(v) = -v + 3. Let u(r) = 4*x(r) - 3*z(r). Let g(n) = p(n) - u(n). Determine y(g(l)).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56 + 103. Suppose 12 = 5*j + t. Let g(i) = -2*i - 10. Calculate g(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence it when two letters picked without replacement from {i: 4, f: 1, t: 3}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 3 + (1 + 2 - 2)*(5 - 4 + 0) - 4 + 3 + 0)*(-539*k + 1014*k - 636*k).\nAnswer: 322*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/6 and -13\/44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(120\/44)*(-2180)\/436\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m + 57 = -5*x, 4*m - 6*x - 30 = -8*x for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of j**5\/28 + 3*j**4\/28 - 1602*j. Solve n(x) = 0.\nAnswer: -9\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52542013.\nAnswer: 52542013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73591?\nAnswer: 7, 10513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 2 + 6 + -2. Suppose 0 = -3*n - s + y, 3*n + 2*s - 6 = 3*s. Suppose -3*o = -c + 86, 5*c = 4*c + n*o + 85. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**2 + 15*x + 8. Let q be m(7). Suppose -q*j - 118236 = -333186. Round j to the nearest 100.\nAnswer: 14300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(2\/5))**(-2)\/(z*(z*z**(-8))\/z*z**(2\/11)))**(-15))**(-11\/6) assuming z is positive.\nAnswer: z**(331\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 53 - w**2 + w**3 + 88 + w**3 to i*w + k*w**3 + o*w**2 + g and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -201?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 13916 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 251\/4, -4, 3, -1?\nAnswer: 251\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 2*v**2 - 23*v - 39. Determine l(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 655 + -4583\/7. Which is the closest to g? (a) 1\/22 (b) 0.1 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(4 + 1*(-2 + 1 + sqrt(272) + 3*(sqrt(272) - (sqrt(272) + 0 + sqrt(272) - sqrt(272)))) + -5)*5)**2.\nAnswer: -6400*sqrt(17) + 110400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, k: 1, i: 2, x: 3, q: 9}. Give prob of sequence xgx.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2378?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-65 - (10 - (-22 + 7))) + 14.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 - 8 + 5)*(4 - z - 4)*((0 + 0 - 1)*(-1 - 1 + 4) + 1 - 2 - 1)*(19 - 28 - 14 + 1 - 5 + 1 + 0 + 1 - 2 + (4 - 4 - 1)*(-1 + 2 + 0) - 1 - 3 + 2).\nAnswer: 3120*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 67*w**3 - 146*w**2 - 462*w**3 - 6*w**2 - 27*w**2 - 5*w**2 wrt w?\nAnswer: -2370","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/8 (b) 0.02 (c) 4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.1 - 306.9. Let w = m - -313.4. What is the nearest to 3\/5 in -0.01, w, -0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7562702*w**2 + 2137658 with respect to w.\nAnswer: 15125404*w","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 6 = 4*l, -m - 2 + 1 = -l. Let q = 0.019 - -0.17. Let w = 4.811 + q. What is the smallest value in -0.1, w, -1\/3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 63, -4\/7, 1\/2, 1\/6, -1\/5 in ascending order.\nAnswer: -4\/7, -1\/5, 1\/6, 1\/2, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1131 + 987. Is s <= -1\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 220, 221, 222, 223, 224, 225?\nAnswer: 226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of 4*r**3 + 180*r**2 + 2718*r + 6. Let c = 854 - 845. Let f(v) = 3*v**2 + 90*v + 679. Let x(p) = c*f(p) - 2*q(p). Factor x(h).\nAnswer: 3*(h + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40075 = 20*u - 47945. What are the prime factors of u?\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -24. Let z be c\/(-55) + (-128)\/(-22). Suppose -u - z = -10. Sort u, 0.5, -2.\nAnswer: -2, 0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (12 + (-34 - (2 - -9 - 1)))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 (base 5) in base 11?\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000 - -10010111100?\nAnswer: 10010101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1971 and 8199?\nAnswer: 1795581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9499, 9501, 9505, 9511, 9519, 9529?\n\"Answer: x**2 - x + 9499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-20)\/4)\/5*-2082 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.96 and -4.\nAnswer: 15.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -168 + 168.5. Let f = 0.5 - 0.1. What is the smallest value in -1\/6, f, 3, j?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 18 - 31 = 5*p, -5*a - 9 = -p. Suppose 2*i + 0*i + 460 = 0. List the prime factors of (2 + i)*(p - 0\/3).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 210 = 45*c - 40*c, -4*c + 16 = 0. What is the remainder when x is divided by 83?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 67353368.\nAnswer: 202060104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23 and 759.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a tonne in kilograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20983, -20987, -20981, -20959, -20915?\nAnswer: -20843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001000101010000 (base 2) to base 7.\nAnswer: 410663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 4 - 7 + 102*n to h*n + c and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -10147.2\nAnswer: -3044.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43680 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 16, -210, 0, -2\/15, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 21 + -39 + (10 - 15 - -5)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -16*x**2. Suppose -14*h = -73 + 17. Let z be h*(-185)\/80*-4. Let t(q) = 68*q - z*q - 34*q. Give t(l(c)).\nAnswer: 48*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 - ((-12)\/48)\/((-27)\/516). Let p = 6 - 6. Let k = 0.5 + p. Which is the biggest value? (a) k (b) 4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*d - 15*d - 10*d)*(2*d + d - 4*d)*(3 - 3 + 2) to the form v + i*d**2 + q*d and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 0*t = -20 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -434 (base 5) to base 6.\nAnswer: -315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25654 + -25650. Solve -1492 = -n*g - 1460 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/3849 + 157819\/19245. Calculate the common denominator of i and -13\/506.\nAnswer: 2530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/10 of a micrometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3326 + -3307. Sort -0.3, y, -1, -5\/4 in increasing order.\nAnswer: -5\/4, -1, -0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -37*w**6\/30 - 7*w**5\/5 + 1131*w**3\/2 - 871*w. What is the second derivative of q(r) wrt r?\nAnswer: -444*r**2 - 168*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1602 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: b\"What is the dth term of -622, -713, -826, -961, -1118, -1297?\n\"Answer: -11*d**2 - 58*d - 553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s = 6*s + 24. Let d = 7 - 2. Suppose -d*i + 6*i = 7. Which is smaller: i or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121 + -1210?\nAnswer: -1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-18795)\/(-90) - (-2)\/3. Let w = v + -214. Which is bigger: -1\/3 or w?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (63\/(-21))\/(6*(21\/3)\/574).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 73 + 31 - 7 + 29*n - 9*n + 11. Calculate z(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 972.4162ml to litres.\nAnswer: 0.9724162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*g**2 + 0*g**2 + 0*g**2.\nAnswer: -11*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*t + 82 - 71 - 55 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 + 0.3. Let q(s) = 2*s - 8. Let h be q(6). Let v be 21\/h + 5\/(-20). Which is the smallest value? (a) t (b) -5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170*r + 122*r - 492*r + 133*r.\nAnswer: -67*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -j + 252. Round j to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-112)\/140*(220\/184)\/11.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -253 minus 244.40184?\nAnswer: -497.40184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-6)*27\/6. Let c be 2\/(-12) - 1001\/(-66). Let k = c + -12. Sort y, k, 1\/2 in descending order.\nAnswer: k, 1\/2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*n**4 + 0 + 7*n - 9*n + n**4 + 5*n**4 - 2*n**4 + (n + 2*n - 5*n)*(1 + n**3 - 1).\nAnswer: 4*n**4 - 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 1\/9 (c) -0.03 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - c = 3*s - 20, -s + 3*c = -11. Let v be (-1)\/(-2)*(9 - (-1 + s)). Solve 0 = -4*n, v = -t - 2*n + 6 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 3*k**2 - 5*k - 4. Let y be u(-4). Let q be y\/2 + (-530)\/5. Let w = q + 160. What is the greatest common factor of w and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 7*v**2 - 12*v - 12. Let j be a(-6). Suppose j*z = 9238 + 7730. What are the prime factors of z?\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21653 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -36798471 divided by 2817\nAnswer: -13063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n - 10. Let u be d(-7). Suppose -5*c + 6 = -u. Solve c*m + 0 + 4 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of 1 + 0*j - 5\/2*j**2. Let n(y) = -7*y. What is k(n(d))?\nAnswer: 35*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a29 (base 12) to base 9.\nAnswer: 4346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.6 - 2. Let j = 20 + -22. Sort -1\/11, j, s in ascending order.\nAnswer: j, s, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57723 is divided by 28856?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**5 - 8*x**4 + 6*x**3 + 40*x**2 + 25*x.\nAnswer: x*(x - 5)**2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 228 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 495\/2 and -18 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -5*d**2 + 2*d - 4. Let f(t) = 9*t**2 - 5*t + 9. What is -2*f(u) - 5*n(u)?\nAnswer: 7*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 - f. Let x(j) = -805*j**2 - 792*j**2 + 2 + 2415*j**2 - 6*j - 836*j**2. What is -4*c(k) + x(k)?\nAnswer: -14*k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 3) to base 11.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + l = 13, -4*l = -3*o + 4*o + 26 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(2*(-2 - -1)). Let b be (8\/(5 + -7))\/(0 - 2). Let p(f) = -25 + 48 - 26 - f**b - f. Determine p(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -61 + 72. Let w be 6\/(-42)*14\/(-2). Suppose 8 = -2*v - 0, 3*b - 22 = 4*v. Solve b*i - m = -w for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 120557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -78, -12, -4 in ascending order.\nAnswer: -78, -12, -5, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n + 5*f - 38, 145 = 2*n + 5*f + 84 for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7249\/2 - 39843\/11. What is the common denominator of d and 5\/((-90)\/4) - 142\/(-612)?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-30)*(-8)\/(-28)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 212 divide 15476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t - 2*t + t + (t - 2 + 2)*(-4 + 4 + 1) + 0*t + 2*t - 11*t + 0*t - t + 2*t + (4 + 0 - 5)*(4*t - t - 4*t).\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + p = t - 254, 5*t - 442 = -3*p. Let f = t - 188. Which is smaller: f or -101?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -q**4\/2 - 2*q**3\/3 + 2*q**2 + q - 1. Let o be v(-3). Find the third derivative of o*z**6 + 8 - 8*z**2 + 1 - 9 wrt z.\nAnswer: 3000*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -10 - -1 - 24\/(-6). Sort y, 5, -3, 4 in descending order.\nAnswer: 5, 4, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -80*i**2. Let w(a) = 2*a**2. Give w(u(t)).\nAnswer: 12800*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - 204\/(-8)*(-8)\/3. Let g = d - -46. Let p = g - -155. What is the greatest common factor of 15 and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -6 + (-92 - -100)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 74, 158, 244, 332, 422, 514?\n\"Answer: l**2 + 81*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -1.607614.\nAnswer: -4.822842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/8 (b) -5 (c) 3 (d) -75 (e) -1\/4439\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Is 311843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 133 by 5.\nAnswer: 133\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**2 + 4*r + 3. Let d be t(-5). Let v = d + 207. Suppose -2*w + 7*w - v = 0. Does 14 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 10 = 4*b, 4*x + b - 48 = -0*x. Let d(g) = 2*g**2 - 20*g + 19. Is d(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 z when two letters picked without replacement from uzeoozdzz.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 - 2)*(-t**2 - t**2 + 0*t**2) + 6*t**2 - 14*t**2 + t**2 in the form l*t**2 + o + i*t and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 17*o + 68. Let m be w(-4). Let z = -7 + 6. Let u be 1\/((0 + z)\/(-2)). Solve -u*k + 4*a + 14 = m, a = -4*a - 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 149\/2910 - -3\/194. Let j(n) be the first derivative of 1 + 0*n + 0*n**4 - 4\/15*n**3 + v*n**6 + 4\/25*n**5 - 1\/5*n**2. Suppose j(m) = 0. Calculate m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 28\/(-21)*3\/(-2). Let g be 260440 + (-2)\/d + 1. Let j = -177440 + g. Round j to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 8*l - 2*m - 118 = 0, -4*l + 155 = -5*m. Calculate the remainder when l is divided by 24.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -223.8 (b) 2 (c) 7 (d) 1 (e) 1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f + f**2 + 28*f**3 + f**4 - 987 + 987 to the form j + t*f**2 + i*f + z*f**3 + y*f**4 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -117*j - 3614. Calculate v(-31).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) 0 (b) 2\/97 (c) -1.1 (d) -1\/7 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-4 - -14) + -16?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 8 - 13 - 8*h**2 + 9 + 2*h to the form m*h**2 + w*h + j and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 8*l**2 - 21*l - 7. Let c be k(-10). Solve 0 = 5*i + c*n, 0 = -2*i - n - 1 - 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 2*d - 6 = 0. Suppose -n + 5*r - 2*r = -17, 5*n - 4*r = 30. Suppose -3*i + c = 8, 4 = -n*i + 3*c + 1. Sort i, -5, 1, d in decreasing order.\nAnswer: d, 1, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 + 250 = 2*r - 4*l, 380 = 5*r + 3*l. Calculate the remainder when r is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((2\/(-5))\/((-24)\/45))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 605 + -604.6. Let n = -1\/204 - -415\/1428. What is the third smallest value in 2\/21, n, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213063?\nAnswer: 3, 29, 31, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - (2 + -3))\/2. Suppose -3*x - 37 = -49. Suppose 4*s - x - 44 = i. What is the smallest common multiple of 84 and s?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 142, 137, 126, 109, 86, 57?\n\"Answer: -3*g**2 + 4*g + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2964667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -q**5\/4 + 249*q**4\/2 - 16399*q**3\/4 + 44367*q**2\/2 + 126248*q - 144456 = 0.\nAnswer: -4, 1, 12, 26, 463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/(-15)*(-30)\/(-4). Suppose -i*v + 157 = -5*v. Let x = v + -76. What is the greatest common factor of x and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23367 - 23367 - 314*z + z**2 + 138*z**3 wrt z?\nAnswer: 828*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/((-126)\/70) - (46 - 6)\/(-5). Let l = 4 - 3.6. Let t = l - 0.5. What is the nearest to t in 2\/3, i, -11?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001000100 + 100?\nAnswer: 10001001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -8 - 19. Let u = 11 - n. Solve -b + 11 = u*h + 1, 20 = 4*h + 5*b for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5018377 - 0.0018377. Suppose 2*p - 3*x + 69 = -2*p, -3*p + x - 48 = 0. Which is the second smallest value? (a) p (b) -0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 4*i**2 - 2*i - 2. Suppose -4*g - 13 = -61. Let f be 2\/(8\/g) - 1. What is o(f)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k - 100. Let m(x) = -15. Determine c(l) + 6*m(l).\nAnswer: 2*l - 190","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 2195701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -55\/4156791 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - t - 9 = 0, -5 = t - 0. Suppose c*n = -2*n. What is the third derivative of 0 + 6*q**5 + n - 7*q**5 + 3*q**2 wrt q?\nAnswer: -60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -0.594?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-3)*(-15)\/10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 26 = 2. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32003725.999927 + -32003690. Let k = g - 36. What is k rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -28. What is the units digit of (x - -24)\/(3\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/4 + (-798)\/(-56). What is the highest common factor of 1065 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by 326.\nAnswer: 15\/326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 (base 9) in base 2?\nAnswer: 11000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x + x + 5*x + 30*x**3 - 2*x.\nAnswer: 30*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 832401244.\nAnswer: 2, 208100311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -1705 (c) -3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 13, 8, -2, -3.\nAnswer: -3, -2, 0, 8, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of -f**8\/23520 + f**7\/2940 - f**6\/1260 + 17*f**4\/12 - 10*f. Let o(k) be the third derivative of g(k). Factor o(y).\nAnswer: -2*y*(y - 2)*(y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9 + 7*j - 9 + 8*j - 5*j + 2*j + (2 - 7 + 3)*(j - 5*j + 3*j).\nAnswer: 14*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + 2*n + 4. Let y = 19 + -16. Calculate f(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 42? (a) -6\/11 (b) -0.3 (c) -46.3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -12246*m + 673. Is n(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y + 50 = 13*y. Let k be (-2 + 5\/y)*-2. Solve -k*r - r = -4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + 0. Let i be 172\/(-20) + 3\/5. Let y be ((-9)\/(-24))\/((-6)\/i). Which is the third smallest value? (a) x (b) -5\/3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 5:02 AM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 36.\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = x + 4. Calculate the remainder when 15 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 42 + 4 + (-1 - 1). Suppose x = 8*f - 6*f. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 1568573\nAnswer: -627429.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hbk when three letters picked without replacement from hubkhhhguub?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 98*u**5\/13 - 16618*u**4\/13 + 679190*u**3\/13 + 2138258*u**2\/13 + 2171984*u\/13 + 729632\/13.\nAnswer: 2*(u + 1)**3*(7*u - 604)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195 = -4*r + 815. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 25 = 4*h + 19, 0 = 5*j - 4*h - 59. Let u be (-45)\/j - (-6 - -2). Let s = 2\/201 + 364\/3819. Is s less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -6*g**3 - 28*g**2 - 2*g + 12. Let m(s) = -5*s**3 - 28*s**2 - 7*s + 12. Let a(c) = -6*m(c) + 7*w(c). Factor a(v).\nAnswer: -4*(v - 1)*(v + 3)*(3*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**5\/9 + 88*u**4\/9 + 568*u**3\/9 - 4852*u**2\/9 - 3818*u + 4284 = 0. What is u?\nAnswer: -34, -9, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17.964 - -18. Let z = s + -4.136. What is z rounded to zero dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**2\/5 + 3057555*b - 30575538\/5 = 0. Calculate b.\nAnswer: 2, 5095923","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*n - 19 = 0. Let b = 30 - n. Suppose 5*k = -4 - b. Put k, -1\/5, 5 in ascending order.\nAnswer: k, -1\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-2)\/(-6)*(-11)\/((-110)\/(-15))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4980, 230, 2\/15 in descending order.\nAnswer: 4980, 230, 2\/15, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 135, 288, 451, 630, 831, 1060, 1323?\nAnswer: 1626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 - -32.9. Let b = 4.1 + l. Let w = -4.2 - -4. Which is bigger: w or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 17*a + 27*a + 14*a - 57*a. Let u(p) = p + 8*p**2 - p + 12*p**2. Determine u(v(h)).\nAnswer: 20*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is (-78 - -107) + -9 + -25?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3252524?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2024965 rounded to 3 dps?\nAnswer: 0.202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 0*a = -a. Suppose -989 = -p + 4*y, a*y - 4*y = 0. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/2)\/((-1)\/(-2)). Suppose 3*i + 0*i - s - 11 = 0, w*i - 5*s = 19. Let k = -2 - -4. Which is the nearest to 0.02? (a) -3\/4 (b) i (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 greater than or equal to -7186961?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/5745 and 23\/12?\nAnswer: 22980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 8:56 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in -8, 4, 1, 15, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -5*m + 2, -4*m + w + 4 = 2*w. Suppose 0 = -5*g + 5*z - 710, m*g + z + 426 = 127. Let p = g - -181. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3233 - 23?\nAnswer: -3322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 695.169um to meters.\nAnswer: 0.000695169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 278 = 5*t + 775, 5*o - 2598 = t. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a week in minutes?\nAnswer: 26208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2757000 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i - 14 + 0*i**3 - i**3 + 0*i**2 + 0*i**2 - 2*i**2 - 50 to y + r*i**2 + t*i**3 + u*i and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 7:22 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13789753?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55.9386 or 14\/17?\nAnswer: 14\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-1\/5)*y**(-4\/5)*y*(y\/y**(-2\/3)*y)**(2\/49)*(y*y*y**(1\/3))**47*(y\/(y**0*y))**(-33) assuming y is positive.\nAnswer: y**(5428\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + d. Solve d*s - 8 = -2*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 1 - c**3 + 3 - 16 + 4*c - 2*c + 8*c**2. Let o be g(8). Solve o*x = 2*x - 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**2\/7 + 538*j\/7 + 72361\/7 = 0.\nAnswer: -269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, -5, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f*m**3*r + 4*f*m**3 - 3*f*m**2*r + 4*f*m*r - 5*f*m + 38*f*r + 3*f + 2*m**3*r + 119*m**3 wrt m?\nAnswer: 6*f*r + 24*f + 12*r + 714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gc when two letters picked without replacement from zgrcb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 554 times -0.05?\nAnswer: -27.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(1*(-48)\/((-12)\/4)))\/((-260)\/(-1040)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327236 is divided by 45.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 21267645 to the power of 1\/2, to the nearest integer?\nAnswer: 4612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, q: 5, o: 3, i: 1, k: 4, t: 4}. What is prob of picking 1 k and 1 o?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7368570.\nAnswer: 2, 3, 5, 11, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + 19 + -2 + -1 - (-52 + 9)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from stdsddissdssis.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 42153203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16.1 + -13. Let q = 746 - 749.118. Let o = q + i. Round o to three dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 61872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-51)\/(-712470)*-44)\/((-34)\/(-70) - 4\/14)?\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 9, 2, -8 in increasing order.\nAnswer: -8, -3, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 divided by 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30742250.\nAnswer: 2, 5, 7, 11, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -21131, -21130, -21127, -21122, -21115, -21106, -21095?\n\"Answer: n**2 - 2*n - 21130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2700248 to the power of 1\/3, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(-4)\/21*(-36)\/(-24). Solve 2\/7*x**2 - 2\/7*x + 2\/7*x**3 - y = 0 for x.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2583.28 + -2607.279064. Let t = 23.976 + 0.024. Let x = t + f. What is x rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3758 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 15) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.839558 - 624.627742. Let s = p - -635.047129. Let m = s - 2.58. Round m to 5 dps.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -26 - (-115 + 73) - (-2 - -115)?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mgmo when four letters picked without replacement from {m: 3, p: 2, o: 4, g: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 209.98 and 20.965.\nAnswer: 4402.2307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.528924ml to litres.\nAnswer: 0.004528924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -5*(sqrt(448) + 2))**2 + ((sqrt(672) + 1*sqrt(672))\/sqrt(12))\/(6*sqrt(16)\/sqrt(2) - sqrt(8)).\nAnswer: 4002*sqrt(7)\/5 + 11300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 - 31. What is the nearest to -0.3 in -0.5, -1, x?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - u + 8 = 4*u, -2 = -u. Solve 8 = -4*o + 4*p - 8, n*o - 4*p + 16 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/65 + 59\/390. Let v(t) be the second derivative of 1\/2*t**5 + 0*t**2 + u*t**3 + t + 0*t**4 + 0. What is the second derivative of v(l) wrt l?\nAnswer: 60*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11131\/1827 + -835\/174. Find the common denominator of f and 43\/252.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1022*b + 2*a - 160 - 256 = 1060*b, -18*b = -3*a + 195 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -514 + 518. Suppose w*j = -2*z + 728 - 242, -4*z = 4. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9414 - -1?\nAnswer: -9413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 8:23 AM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-30))\/(((-11)\/(-99))\/((-4)\/(-24)))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of f**3 - f**2\/2 + 10*f. What is the first derivative of k(a) wrt a?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011111000000 + 10000110001000010?\nAnswer: 10011010000000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + n = -27. Let t = -5 + n. Suppose 0 = t*z + 4, -2*p - 65 = -4*p + 5*z. Calculate the remainder when 58 is divided by p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/((-2)\/470) + 3. Let j be 1\/(-2 + z\/118). Suppose -4*w + 77 = -j. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 18d + -41?\nAnswer: 14c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*s**2 + 19*s**2 - 5*s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144813 is divided by 18101.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 4 + 40. Let s(a) be the first derivative of -8*a**3\/3 - a**2\/2 - 5*a - 1. Let n(y) = 15*y**2 + 2*y + 9. Give i*s(o) + 6*n(o).\nAnswer: 2*o**2 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qnnqlslqnqlnlnn. Give prob of picking 2 n.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c + 1. Let u(l) = -6*l - 7. Let q(y) = 3*h(y) - u(y). Let k be q(-2). Suppose x - 733 = -x + 3*s, 5*s - 1499 = -k*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-41*(-715)\/(-82082))\/((-1)\/(16\/(-340)))?\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 4*z**2 + 187*z + 138. Let p be m(-46). Solve p*i = -7*i + 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 2, -1643, -6.\nAnswer: -1643, -24, -6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 30 - 9. List the prime factors of h.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(34)\/sqrt(2))**2 + sqrt(68)\/(sqrt(4) + sqrt(64)).\nAnswer: 42 + 51*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/4 + 1\/(-4). Suppose 0 = -m - 5*k, 0 = -0*m + 3*m - 2*k - 17. Solve x = 2*a - 3*j - 7, 3*j - 2 - 5 = -m*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/6681 (b) -0.01 (c) 3 (d) 0.2 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, u: 13, g: 3}. What is prob of sequence ggu?\nAnswer: 13\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -94, -186, -280, -376, -474, -574, -676?\n\"Answer: -g**2 - 89*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 4*f**3\/9 - 31270*f**2\/9 + 15634*f\/9 = 0?\nAnswer: 0, 1\/2, 7817","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2366 - -3828. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 134, 247, 360, 473, 586, 699?\nAnswer: 812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 107\/3 + -36. Suppose -3*l - 6 = 3. Sort -1, y, l in decreasing order.\nAnswer: y, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r. Let x = 101 + -100. Let h(s) = -s. Calculate x*d(j) - 4*h(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 66368413 to the power of 1\/2, to the nearest integer?\nAnswer: 8147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(315)\/sqrt(112) + (sqrt(450)*2)\/sqrt(10))**2.\nAnswer: 3629\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -3\/8, -5, 219, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 190, 676, 1402, 2374, 3598, 5080, 6826?\nAnswer: 8842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 80*g**2 - 19*g + 32. Let z be q(2). Suppose 5*b + 4*o - 2605 = 0, 0*b - 3*o = b - 532. Let m = b - z. Does 34 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -8*j + 5*j - 5*v, 5*j = -5*v + 10. Let z be 5 + 28\/j - 4\/(-3). Is 498 + (-3)\/z + 0 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 81\/13, -0.2, 1, -1 in descending order.\nAnswer: 81\/13, 1, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.0132 hours to seconds.\nAnswer: 223247.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4550869177 to the power of 1\/3, to the nearest integer?\nAnswer: 1657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136789.\nAnswer: 37, 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -38881 times 85\nAnswer: -3304885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -26*j - 1169. Let g be y(-45). Solve -153*t + 154*t + g = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 136 + -131. Suppose 0 = -y - h, 5*x - y + 25 = 4*y. Let p(q) = -q**3 - 9*q**2 + 10*q + 6. Calculate p(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195394 is divided by 45.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(448)*-1 + -2 - sqrt(448)) - (sqrt(35)\/sqrt(245) + ((sqrt(7) + -3)*-3)**2 + sqrt(7)).\nAnswer: -142 + 482*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.062, 4, 5?\nAnswer: 0.062","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 2*x - 16, 2*x + 2*x - 18 = 3*z. Suppose -61 = 15*c - 241. Differentiate -c*y**3 + y**3 - 17*y**3 + 5*y**x + 20 wrt y.\nAnswer: -69*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 543018719 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*l**2\/3 + 110560*l\/3 - 42112.\nAnswer: -2*(l - 7896)*(7*l - 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21925783 and 154715?\nAnswer: 1067","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * -50\nAnswer: -1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, g: 2}. Give prob of picking 1 g and 1 r.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-7\/3))\/s*s*s**16 assuming s is positive.\nAnswer: s**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 12:58 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o + 40*o - 38*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bffoobffzbp. Give prob of picking 1 f and 1 b.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 4*g - 4. Let d(m) = -3*m + 3. Give -5*b(p) - 7*d(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*h - 2*h + h)*(4 - 4 + 2) - 8 + 7759*h - 7763*h - 9)*(2*h**3 + 0 + 0).\nAnswer: -4*h**4 - 34*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*n + 3*o, -2*n - 2*o = -6*o. Let l(v) be the first derivative of v**3\/3 + 5*v**2\/2 - 3*v - 1. Let t be l(n). Solve -s - t*s = 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -68\/5 + 74\/5. Which is the smallest value? (a) v (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/7 + (-48)\/(-14). Suppose -3*x = 2*g + 30, g = -3*x + v*g - 15. Let y(b) = -8*b - 38. What is the units digit of y(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 714 or 985.6?\nAnswer: 714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7020 is divided by 119.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -a**8\/84 + 2*a**7\/21 - 3*a**6\/10 + 7*a**5\/15 - a**4\/3 - 10*a**2. Find w, given that n(w) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 2 + (19 - 30)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -78\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"arithmetic__div_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: Is (-13)\/((-65)\/(-10))*-285 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 9*c**2 - 12*c + 11. Let t be j(8). Let g be ((-111)\/t - 2) + -3. Factor 8\/7*s**2 - g + 6\/7*s.\nAnswer: 2*(s + 1)*(4*s - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2095\/(-15)*(-3)\/1. Suppose -419 = -d - 4*w, s = -0*d + d + 3*w. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 297 and 33?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2386417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 101100 and -1.\nAnswer: 101099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 3*v + 32 = -2*v, 2*s + 13 = -5*v. Is s not equal to -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35 and 6895.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76548, -153097, -229646?\nAnswer: -306195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (14 + 6)\/(-80) - (-193)\/((-2 - 42)\/(-11))\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**5\/4 - 15*n**4\/4 - 43*n**3\/2 - 58*n**2 - 72*n - 32 = 0.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2613617636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.001 - 29.999. Let d = -29.9 - w. What is the nearest to 0 in d, 5, -6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in six fifths of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/2 - (-968 + 36). Suppose 3*l + m = 5*j - 0, -2*j + 5*l + 377 = 0. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (0 + sqrt(28))**2 + 3 + 2 + ((sqrt(21)\/sqrt(3)*4 - -5*(sqrt(7) + 0))*1)**2)*5.\nAnswer: 3005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -20\/101 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d**2 + 0*d - 2*d + 0*d**2 + 3*d. Let y be t(1). Find c, given that -c - 2*c**3 - c + y*c - 2*c**2 + 2*c**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -28, -61, -108, -169?\nAnswer: -244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h**2 - 4*h**2 + 0*h**2 + (0*h + h - 2*h)*(5*h - 4*h - 2*h) - 2 + 2*h**2 + 2 in the form x + k*h**2 + u*h and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/7 - (-556)\/14. Suppose 0 = -5*s + l. Suppose 13*j = s*j + 265. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.87 - 0.8. Let q = 412.06888 - 412. Let z = h - q. Round z to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 48 = -4*l - 7*u, -5*l - 80 = -5*u. Calculate the least common multiple of (-14)\/91 + (-1)\/((-78)\/324) and 2\/7 - 990\/l.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 i, and 1 f when four letters picked without replacement from oijissfo?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 280863 and 18568.\nAnswer: 474096744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of -y**3\/3 + 29*y**2 - 36*y. What are the prime factors of x(-15)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1*(sqrt(637) + sqrt(637) + sqrt(637)*-2 + 3 + (sqrt(637) - (sqrt(637) + (sqrt(637) + 3)*-2)) + sqrt(637))*-3)**2*6.\nAnswer: 20412*sqrt(13) + 313960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931) - -5*sqrt(931))*-2)**2 + 3*(sqrt(931) - (sqrt(931) + -1 + sqrt(931))).\nAnswer: -21*sqrt(19) + 134067","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/6 + 25*(-88)\/(-165). Solve -3*i - 5 = 4*c, 5*i - 2*c = -4 - f for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-4)*(-6)\/4.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 915 is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -2\/17, 4\/13.\nAnswer: -18, -2\/17, 4\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28.02 + -0.98. Let o = 127.6 - 157. Let u = k - o. Which is the third smallest value? (a) -2\/3 (b) u (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/39? (a) 2\/9 (b) 0.6 (c) -8 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a - 14 - a + 0*a. Let g be u(-11). What is the highest common factor of g and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4*l - 22. Let j be u(7). Let k be j\/4*(-20)\/30*-140. What is the greatest common factor of k and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 733*o - 732*o = 310. List the prime factors of o.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 + 3*j + 3. Let w = 5 - 1. Let q be v(w). What is the units digit of (-345)\/(-35) + q\/(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 553, 2178, 3795, 5404, 7005?\nAnswer: 8598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*4\/26)\/((-8142)\/(-3122457))?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 3. Let x be n(0). Let j be 49\/(-266)*(1 - x). Let h = -220\/247 - j. Is 2\/3 less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1819\/248531 less than or equal to 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b - 7. Let v(m) = m**3 - 4*m**2. Let l be v(4). Suppose l = -3*n - 4*x + 41, -4*n + 3*x = -1 - 37. What is the units digit of g(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a meter in centimeters?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d**2 - 5*d + 14. Let l = -42 + 30. Let u be r(l). Suppose 4*p = -4*j + 400, -6*j = -j + 3*p - u. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8013 is divided by 8000.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7\/65 - -1\/39. Let k be (-72)\/(-54)*18\/(-4). Let h be (k\/(-15))\/((-18)\/(-10) - 2). What is the third biggest value in h, y, -4\/3, -0.4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -154.119 less than 953473778?\nAnswer: 953473932.119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.8 (b) 36\/55 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 52 = -b + 2*k, -2*k + 144 = 3*b. Suppose 18 = -40*j + b*j. Sort -1, 2, 1, j.\nAnswer: -1, 1, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**5 + 177*f**4 + 1755*f**3 + 2991*f**2 + 1410*f = 0. Calculate f.\nAnswer: -47, -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 990506866?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, n: 1, z: 2, f: 6}. Give prob of picking 1 y and 1 z.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 5*v - 57. Let a(b) = -14*b + 175. Let q(d) = -4*a(d) - 11*g(d). Let i(p) = 2*p**2. What is i(q(u))?\nAnswer: 2*u**2 - 292*u + 10658","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w - 6. Let z be h(8). Let o be ((-1)\/z)\/(3\/60). Let d be (-10)\/1*4\/o. Which is the smallest value? (a) -1\/2 (b) 0.4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10759982098 and -2.\nAnswer: 10759982096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -3*z + 51, 30*z + 2*s - 1515 = -1005 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(468) - (-2 + sqrt(468))**2 - ((sqrt(156)*2)\/sqrt(12) - sqrt(13))*-4.\nAnswer: -472 + 34*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 8*m - 3. Let y(x) = x**3 - 5*x**2 + 11*x - 8. Let w be y(3). Determine r(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -217*m**5 + 2790*m wrt m.\nAnswer: -4340*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 102865*p*y + p + 85158 with respect to y.\nAnswer: 102865*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (((-20)\/25 + 2)*-80)\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1670142?\nAnswer: 2, 3, 173, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j + 2. Let z = 29 + -20. Let l(k) = -5*k - 2 - 1 + z. Let b be -1 + 3\/(6\/(-4)). What is b*l(r) + 8*a(r)?\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -72246 to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1769 to two dps.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 5*i - 11 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*p - 5*n, 2*p - 3*n + 4 = n. Suppose -2*z + 3 = -3*c, -p*z - 17*c = -19*c - 2. Factor -3\/2*o + z - 21\/4*o**2.\nAnswer: -3*o*(7*o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90424187.\nAnswer: 7, 12917741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 155252964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4183376?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/4, 0.2, -2\/7, 2\/41?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197*q = -203*q + 810. What is the smallest common multiple of 60 and q?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (109\/((-43164)\/(-176)))\/4.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 629?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jzryn. Give prob of sequence jyr.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7181469707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.41 - -9.11. Let y = k + -7.2. Which is the third smallest value? (a) y (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 860 and 410.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 3 - 10*s - 3*s**3 + 8*s to x*s**2 + j + u*s**3 + y*s and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 5*o = -2*c - 10, 3*c = 2*o - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 7 = 4*r, 4*g + 18*r - 14*r = -4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 399*h**2 - 10891*h + 10891*h.\nAnswer: 399*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2832459 (base 10) to base 8\nAnswer: 12634113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fjfy when four letters picked without replacement from {f: 2, y: 1, v: 1, j: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 16 = 3*k, -3*k - q = -6*q - 31. Let b be (-3)\/k*(-60)\/(-9). Let i = b + 16. Calculate the greatest common divisor of i and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a + 3. Let l be i(1). Suppose 2*n - 8 = l. Suppose -29045873 = -n*b - 77045873. What is b rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288) + sqrt(288) + ((sqrt(288) + 4 + sqrt(288) + sqrt(288))*1)**2 + (5*(sqrt(10)*1 + sqrt(10)))\/sqrt(5).\nAnswer: 322*sqrt(2) + 2608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**5\/(n**9\/n))\/(n**3\/n**(-2\/5)) assuming n is positive.\nAnswer: n**(-32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 162 = 3*l, -4*l - 4*h = 202 + 14. Let k = l + 92. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -30*q - 1. Let r be i(1). Let z(l) = -4*l - 240. Let c(o) = o + 48. Let w(s) = -16*c(s) - 3*z(s). Let p be w(-4). Are p and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 5*j**2 - 22*j + 6. Let x be n(-8). Let r = x - 374. Which is greater: r or 16\/23?\nAnswer: 16\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o + q - 18, 37496244*q - 37496234*q - 300 = -4*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 237891851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(-2)*y*y\/((y**(-5)*y)\/y))**(3\/35))**33 assuming y is positive.\nAnswer: y**(99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -980, -2114 in decreasing order.\nAnswer: 0, -980, -2114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22 - 7*r**4 + 28*r**4 + 31 - 14 with respect to r.\nAnswer: 84*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 3 = -2*a, 207*z - 213*z - 18 = -2*a for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 762795863.\nAnswer: 12641, 60343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17222 is divided by 2369?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 449759707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -410*n*p**3*x**2 + 2*n*p**3 + 2*n*p**2*x - 2*n*p**2 - 48*n - 1335*p**3*x**3 - 1408*p**3*x wrt x.\nAnswer: -820*n*p**3 - 8010*p**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -4*o**4 + 8925064*o**3 - 6638093700288*o**2 + 1645742741955200512*o - 16456763619107000320 = 0.\nAnswer: 10, 743752","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/9 and 10\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2155 - -11500?\nAnswer: 7323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of a**3\/6 - 11*a**2\/2 + 23648*a. Let p(o) = 2*o**2 - 3*o + 1. Let n be p(3). Calculate s(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82498 = 5*m - 5*n - 21452, 2*n + 83146 = 4*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of j**6\/60 + 223*j**5\/30 - 169*j**4\/3 + 452*j**3\/3 - 1801*j**2. Factor h(n).\nAnswer: 2*(n - 2)*(n - 1)*(n + 226)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57520224 is divided by 1223834.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 + 34 = -18*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 138\/6*16\/56*14\/4?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 70498793, 140997588, 211496383, 281995178?\n\"Answer: 70498795*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)\/sqrt(2) + sqrt(3))*-6.\nAnswer: -42*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -5*k. Let o be -2 + (-6 - -3 - -11). Let a = 5 - o. Let d be r(a). Solve 3*h - 3 - 19 = -d*p, -4*p - 8 = -4*h for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of r**7\/63 - r**6\/9 + 3*r**5\/10 - 7*r**4\/18 + 2*r**3\/9 - 7*r. Determine o, given that v(o) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 19, 35, 61, 97, 143, 199, 265?\n\"Answer: 5*o**2 + o + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of i**7\/42 + 5*i**4\/12 + i**2\/2 - 17. Let z(r) be the second derivative of n(r). What is the second derivative of z(v) wrt v?\nAnswer: 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229*n = 2*t + 228*n - 10, 0 = 3*n for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 1 = 2*g. Solve -4*l + 13 + g = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ogo when three letters picked without replacement from oooogogoogoggooo.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 62 = 98. Suppose 4*p - r = -6*p. Find the second derivative of -12*a**2 + 19*a**p - 9*a - 12*a + 12*a**2 wrt a.\nAnswer: 228*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133 (base 5) to base 2.\nAnswer: 101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + -29. Let b(m) = -2*m**3 - m**2 + 3*m + 2. Calculate the remainder when b(v) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6246 + 10374. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/4)\/(4\/(-168)). Suppose 2*o - 122 - w = j, -o = 3*j - 96. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/566989?\nAnswer: -2\/566989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 621\/4 + 12\/16. Suppose 5*r - 9 = j. What is the first derivative of 5*z**3 - r*z + 2 + 76*z - 43*z wrt z?\nAnswer: 15*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29835?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.38 - 0.08. Let n = -12 - -7. Which is the biggest value? (a) 0.4 (b) j (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/35)\/(-3*(21\/(-9) - -2)). Solve q = 8*g + 20 - 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 9) to base 3.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -12*y + y - 13 + 290*y**3 - 288*y**3 + 11*y**2. Suppose 0 = -n - 1 - 5. Let c be p(n). What is the greatest common factor of 119 and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 4, -2.\nAnswer: -2, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 90, -4, -5, 3, -2 in ascending order.\nAnswer: -5, -4, -2, 3, 14, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*s = -2, -3*s + s = -4. Let b(i) = -4*i + 2*i + j*i. Let q(r) = 3*r. Let m(z) = 4*z. Let u(p) = 4*m(p) - 5*q(p). What is b(u(l))?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 205.8 + -206. Sort -4\/9, 58, j in descending order.\nAnswer: 58, j, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 4*r**2 - 5*r + 2. Let d = 10 + 0. Suppose -3*z + 5 = -d. What is x(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 26 + 24. Suppose 0*o = o - j. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/32 - (-51707)\/(-6032). Which is smaller: n or -8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.004 + -0.296. Let g = -1 + 1.1. What is the biggest value in c, g, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 58.4884 millennia?\nAnswer: 584.884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2281 is divided by 79.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*h - 6 = 0, -13*d + 15*d - 3*h - 6 = 0. Is -1637*(d - 10 - -5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -22*i**2 + 136*i - 8. Let z be f(6). Let b(m) = m**3 - 14*m**2 - 33*m + 9. Give b(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 4, 2335, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 153860 and 9114?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 19 = -7. Suppose p - s = -2. Let n(x) = -6*x**p - 4*x + 0*x + 5*x**2 + x. Determine n(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express u**4 + u**4 + 4*u**2 + 41*u - 215*u in the form k*u + l*u**2 + q + z*u**3 + w*u**4 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, z: 7}. What is prob of sequence zzp?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*t + 20*t + 14*t - 68912. Calculate the smallest common multiple of 44 and t.\nAnswer: 12848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*j**2 + 34*j**2 - 88*j**2.\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -15414778 equal to -15414780?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -12*p**3 + 2*p**2 - p + 2. Let m(k) = 4*k**3 - 3*k**2 - 4. Let o(a) = -7*a**3 + 5*a**2 + 7. Let x(u) = 5*m(u) + 3*o(u). Calculate -2*x(v) + y(v).\nAnswer: -10*v**3 + 2*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-3) - 417\/(-9). Let p be -1*(-18 + -2)\/2. Let b = i - p. Is b a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 59367613 to the nearest 1000000.\nAnswer: 59000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -23 - -469?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-75)\/125*(-6)\/9. Which is the fourth biggest value? (a) l (b) 39 (c) -5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -4*a**2 - 5*a + 2. Suppose -21*w + 3 = -2*x - 20*w, 0 = 5*x - 5*w. Let l(u) = 4*u**2 - 4*u**2 + u + u**2. Give x*l(j) - z(j).\nAnswer: j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2806, -5618, -8436, -11260, -14090, -16926, -19768?\n\"Answer: -3*k**2 - 2803*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in 22, 8169, 4, 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, -5933.3, 26\/7, -1\/8, -4?\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 + 58. Let h = m - 50.5. Round h to zero dps.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64+1545793\nAnswer: 1545729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 137 = u, 294 = 4*j - 2*u - 272. Calculate the remainder when j is divided by 27.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -147.61925 rounded to one dp?\nAnswer: -147.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of 4\/15*r**5 - 2\/3*r - 5\/6*r**2 + 1\/18*r**6 + 24 - 2\/9*r**3 + 1\/3*r**4. Determine p, given that z(p) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -820 * 53.1.\nAnswer: -43542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23.4 + -23. Let v be (3\/4)\/((-3)\/(-1)). Let m = -4 - -1. What is the nearest to 0 in o, m, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(832)*-2 - sqrt(832)) + 2)*-6*-2)**2.\nAnswer: -6912*sqrt(13) + 1078416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ece when three letters picked without replacement from wwwzwzemeeewecewzem?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 76612210 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20474 + 19589. Is o not equal to -886?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v. Let a(i) = -6*i + 2. What is a(d) - 12*o(d)?\nAnswer: 6*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 26*z - 7 = 27*z, 4*w = -2*z + 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -107 + 103. Let u = -1158 - -1146. What is the second smallest value in u, f, 0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1717290190.\nAnswer: 2, 5, 7, 11, 17, 127, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 86 and 2064?\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h + 12 + 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.33 times 101841?\nAnswer: 33607.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 195*u**2 - u + 1. List the prime factors of j(1).\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3851*q + 15354. Give y(-4).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -112744*a**3*r + 61093907*a**3 + 11*a**2*r + 2*r wrt r?\nAnswer: -112744*a**3 + 11*a**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 312 and 919272?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/72 - 4*(-1)\/(-480). Let m be 16\/(-128) - ((-9)\/(-8) + -1). What is the second smallest value in m, w, -97?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7194672?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - ((0 - 1 - 0) + -10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**3 + 5*u + 3. Let g be m(4). Let o = g + -144. Calculate the greatest common factor of o and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -246926*i**2*o**2 + 3*i**2*o + i**2 + i*o**2 + 4*i*o + 3*i + 105375*o**2 - o - 1 wrt i.\nAnswer: -493852*o**2 + 6*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 28.1 (b) 2\/1605 (c) -2\/1589\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 26. Let d be (-20)\/(-11) - (-4)\/l. Suppose 3*a - 6*s + s = 25, 4*s = -8. Solve 1 = -d*q - a for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -3*a**9\/56 - 2*a**5\/5 - 16*a**2 - 32*a. Let s(o) be the first derivative of c(o). Find the third derivative of s(p) wrt p.\nAnswer: -3240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -0.05, -6\/7, -2\/1227 in descending order.\nAnswer: 6, -2\/1227, -0.05, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 41777498.\nAnswer: 167109992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + z - 33. Give m(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -5. Let z = j + 2. What is the tens digit of 4*(z - 9\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -p**6\/3 - 2*p**2 + 3. Find the second derivative of a(l) wrt l.\nAnswer: -40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39874 is divided by 281?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 17*c - 19*c + 5 - 13 - 1. Let r(g) = -g - 4. Suppose 7 = -5*o - 3. Give o*b(k) + 5*r(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 4, -18, -3 in ascending order.\nAnswer: -18, -5, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -6032 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/24001 and 101\/4.\nAnswer: 96004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -73 - -76. Suppose 4*l = 2*l + c*l. Suppose -9*i + 7*i + 54 = l. Solve -2 = -5*y - i for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -9. Suppose 3 = t*x - a, 3*x + 9 = 5*x + 5*a. Solve 0*z = -x*z + 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 286 and 1781.\nAnswer: 39182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -38\/7*v - 18\/7*v**2 + 8 = 0.\nAnswer: -28\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2221 - -3863. Is 5 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 2*q + 100 - 54, 3*k + 36 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 10 = -5*m. Suppose 19 = 2*x + 3*j, 3*j - 3 = 3*x - 9. Suppose -3*g + x + 16 = 0. Solve 0 = 2*c - g*c - m for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-216)\/(-378))\/(50\/14 + -1). What is the nearest to -0.2 in 21\/4, 2\/15, j?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3580 and 93061\/26 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -22372585131 and 13748?\nAnswer: 22372598879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + -2)*6 - (sqrt(48) - sqrt(3) - sqrt(3))*3)**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**3\/7 + 1602*q**2\/7 + 31240*q\/7 = 0.\nAnswer: -781, -20, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**10*k\/(k\/(k**(-11)*k)))\/(k**(2\/11)*(k\/(k\/k**(-12)))\/k) assuming k is positive.\nAnswer: k**(141\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -196bc + 4?\nAnswer: -196b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**2 - 3*j - 3. Let y(d) = d**2. Suppose 0*r = r + a - 3, 0 = -r - 3*a + 11. Let b(s) = r*p(s) - y(s). Give b(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 2*p + 12 = 2*b, -4*b + 12 = 0. Suppose -p*u = -17 + 11. Differentiate -13 + 7 - 14*i**u + 0 + 3 wrt i.\nAnswer: -28*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 times 1791?\nAnswer: 107.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.03 (b) 6 (c) -6 (d) -2 (e) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h + 2*i - 16, -3*h + 3*i - 14 - 1 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1832 + -1821. What is the remainder when h is divided by (-27)\/12*16\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -28*s**5 + 212*s**4 + 1344*s**3 + 1744*s**2 - 128*s - 768 = 0.\nAnswer: -2, -1, 4\/7, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 446.163052 rounded to 1 decimal place?\nAnswer: 446.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/1)\/(4\/(-2)). Suppose 0 = 3*v - r*v - 93. Calculate the remainder when v is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.278 and 1000737?\nAnswer: 278204.886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12739 is divided by 925?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10302542*y**2 - y**3 + 0 + 0 - 10302553*y**2.\nAnswer: -y**3 - 11*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -196, -631, -1478, -2875?\nAnswer: -4960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -489 by -1.\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -13*m - 4. Let p be c(-2). Let f = p + -17. Suppose y - f*y = -200. Calculate the greatest common divisor of y and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -26052, -26067, -26082?\n\"Answer: -15*g - 26037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 544353860 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8 and 0.114.\nAnswer: 8.114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 79 = 4*z, -3*h = -z - 5*h + 23. Suppose 62250 = 18*k - z*k. Let v be k\/(9\/12 - 1). What is v rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26352236 (base 8) to base 6.\nAnswer: -330103130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -410104 - 981542 = -6*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 5*u + 1 = -31, 4*o + u + 12 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -3084.\nAnswer: 7\/3084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 834860 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jsssgjssfgjgvvgjjsjs.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -2. Suppose -2*f = i + 1, 0 = -j*f + i - 3 + 4. Suppose 4*k = 6*k. Which is the nearest to k? (a) -2\/9 (b) -5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o + 31 - 35 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2*l - 2*l + l)*(l - 3 + 3).\nAnswer: l**2 - 5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -988808342 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 215\/(-30) - (209\/(-66) + 3)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/15174 (b) -4\/7 (c) 0.5 (d) -0.5 (e) 0.2 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2293 or -2308?\nAnswer: -2293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -13, 6 in descending order.\nAnswer: 6, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 9:12 PM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -425 - -393. Calculate the lowest common multiple of 3 and (0 - f) + (-76)\/(-19).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 131098 or 131097?\nAnswer: 131097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 889872 + 248441.\nAnswer: 1138313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 721045 by 5.\nAnswer: 144209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -14*g + 5. Let p(u) = 15*u - 4. Determine -6*p(q) - 5*t(q).\nAnswer: -20*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20.9 - 197.9. Let k = -82 - o. Let i = k + -95.5. What is the nearest to 1 in i, -4, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -m**4 + 70*m**3 + 367*m**2 + 596*m + 300 = 0?\nAnswer: -2, -1, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((1034\/235)\/22)\/(20\/(-25))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4912 + 5048. Calculate the remainder when b is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -15. Let b = 14 + -7. Let o = b + r. Solve 21 = -o*k - 5*z, -7*k + 2*k - 5*z = 25 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 435 and 5170700.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -80, -146, -198, -230, -236?\n\"Answer: m**3 + m**2 - 76*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/45 + 19733\/(-63). Let l = w + 313. Solve 7*a - 5*a + 8 = l for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 116160 and 28545?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -332*c - 4254 - 8362 = 0 for c.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-882)\/(-15))*(-87)\/((-10875)\/100)?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3269583 and 1835487?\nAnswer: 3897","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3499 and 1474293153?\nAnswer: 3499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2246014?\nAnswer: 2, 71, 15817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 405520436.\nAnswer: 2, 61, 1661969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7715*m - 11*d = 7717*m + 271, 5*m - 35 = d for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3239460 divided by 647892.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 9*p**3 - 8*p**2 - 3*p - 1. Suppose 6 + 6 = 3*f. Is 15 a factor of s(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 44809948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -2, -21 in ascending order.\nAnswer: -21, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 6, z: 2, a: 2, w: 1, q: 6, s: 1}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (375\/2)\/((-12)\/(-16)). Suppose b - d = -b. Suppose -11*j + 6*j = -b. Does 14 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1073 and 26651?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1311.292 rounded to the nearest ten?\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-6*((sqrt(28)\/sqrt(4) - sqrt(7))*5 + (sqrt(84)*1 + sqrt(84))\/sqrt(12))**2.\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 1974118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.3875503 to 0 decimal places.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - u - 3261 = 6*k, -3*k = 3*u + 1959. Let c = k + 693. Is 40 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3073 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 7495*f - f**2 - 15 + 5 + 34 + 0*f**2.\nAnswer: -f**2 + 7495*f + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 230 - 2988\/13. Let t = -47\/117 + 563\/819. Which is the nearest to t? (a) 6 (b) k (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 5*l + 1. Let w be (-1 + -9)*(-2)\/5. Is 15 a factor of f(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21021423 or 21021425?\nAnswer: 21021425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 6*s - 30. Solve -5*o = -2*n + n - 17, -n + 15 = s*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7468128 hours to nanoseconds.\nAnswer: 2688526080000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 591802712 to the nearest integer?\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 281*n - 0*n - 30*n - 8032 for n.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 12 + 19 + 137 + -153\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*y - 98 = -115*y + 1222 for y.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*y - 15 = 10*y - 35*y for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-81)\/(-81))\/(((111\/(-18))\/37)\/((-18)\/(-4)))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 9*k**2 - 17*k + 52. Calculate c(7).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 12, 0*y - 3*y + 382 = -5*m. Let z = m + 41. Let o = -23 - z. Is o a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-62 + (-11797)\/(-188))\/((-4)\/(-10) + (-497)\/1280)\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 551687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 2 n, and 1 t when four letters picked without replacement from nltnccn?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t = 4*t + 35. Suppose 2*g + t*h = -1 + 19, -5*g + 2*h = 13. Let y(u) = 45*u**2 - 6*u - 5. Is y(g) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of 65*f**2\/2 - 1. Let p(c) be the first derivative of -c**3\/3 + 1126. Give o(p(q)).\nAnswer: -65*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.6441 + -14.3559. Put m, 5, -56, 0 in increasing order.\nAnswer: -56, m, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/3)\/(3\/9). Suppose 3*q - h = 4. Solve -c + 12 = -q*k, -3 = 2*k - 4*c + 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1360?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gwogxqggqgxoqgx. What is prob of sequence qow?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -33\/130, 2\/15, -1\/3, -1\/21, 3 in descending order.\nAnswer: 3, 2\/15, -1\/21, -33\/130, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*m + 247 - 43 = 0. Find the second derivative of -118*h**2 + 230*h**2 - 112*h**2 - m*h**4 + 43*h wrt h.\nAnswer: -144*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (492\/(-41))\/(42\/(-16)*-2)?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.01 + 0.27. Let r = -7.038 + 0.138. Let u = r - -5.9. Which is the third smallest value? (a) 0 (b) m (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18289 divided by -53?\nAnswer: -18289\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.41 - 0.51. Let f = 2.98 - -0.02. Sort f, n, -2.\nAnswer: -2, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 6:34 AM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3503 + 3503.5. Put 3\/2, 2.8, 1\/6, n in ascending order.\nAnswer: 1\/6, n, 3\/2, 2.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126514 and 36?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**3\/4 + 163*l**2 - 3768*l = 0. Calculate l.\nAnswer: 0, 24, 628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + (-693)\/(-49))\/((-30)\/105)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30342 to the power of 1\/2, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/2 + 195*r**2\/2 + 376*r - 1146.\nAnswer: (r - 2)*(r + 6)*(r + 191)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 + 49. Solve 10 = -t*j + 2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, x: 5, z: 2, r: 4}. What is prob of picking 3 a?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 21*j - 99. Let p be h(16). Is -12 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -1 + 1202*b**2 + 179*b**3 - 1195*b**2 - 180*b**3. Let w be 4\/(-18) - 390\/(-54). Determine g(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 16*i + 823. What is d(-39)?\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/14)\/(((-9)\/(-3))\/6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 11*m - 1. Let s(w) = -5*w. Let c(j) = 6*n(j) + 13*s(j). Let r(o) = 4*o - 19. Let v(b) = -7*c(b) + 2*r(b). What is v(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 b when two letters picked without replacement from cnzbrrz?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 90 = -18. What is the units digit of (-4)\/18 + 87\/q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6917851 is divided by 33911.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 7) to base 13\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 2 - 2)*(3 + 1 - 5) + 0 + 2 - 3)*(8*b**5 + 25*b**2 - 25*b**2).\nAnswer: -24*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4*x = -36. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-2)*-2*(-2)\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18565 + -19796. Which is greater: -1232 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = -7*f + 30200000. Round f to the nearest one million.\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 0. Let c(g) be the third derivative of 0*g + 0*g**3 + 1\/8*g**4 + 0 - 2*g**2. Give c(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73917480583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + 657352341.\nAnswer: 657352343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15464553 is divided by 7732257.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.16 * 57\nAnswer: -9.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 6*d**2 - 8*d + 5. What is i(6)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 3*s - 3*h + 1, -6*h + 50 = 5*s - 0*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -34744 < -382194\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - h - 5161, -2*b - 5*h = -4*b + 10298. What is the thousands digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + i**2. Suppose 5*n - 3*j - 15 = 2*n, 10*n = 3*j + 50. Let c(q) = 6*q**3 + 5*q**2 - 7*q. Determine n*z(w) - c(w).\nAnswer: -w**3 + 7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139*m - 411*m + 3*m**3 + 137*m + 135*m.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 24a7 (base 13) to base 10\nAnswer: 5207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1264093877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 26182717.\nAnswer: 1\/26182717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 27154 less than 27106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4575 and 78432885?\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2338 and 406.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**3 + 2*v**2 - 579*v - 40. Determine r(0).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -30.5 + 31. Which is the closest to 5? (a) 5 (b) 0.2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1293.1096739 - -1178.109683. Let k = 45.1 - 160.1. Let y = q - k. What is y rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + 5*b + 4. Let h be g(3). Let n = -110 + 114. Solve 3*v + n = h for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 4*g. Let k(l) = 15*l. Let t(u) = -6*k(u) + 22*w(u). Let q be t(-2). Solve q*p + 20 = -4*f, 0*p = p - 3*f - 15 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/65)\/(150\/1950)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2*u**2\/7 - 3535888*u\/7 - 17679390\/7 = 0?\nAnswer: -1767939, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3062960075.\nAnswer: 5, 7, 19, 921191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 67, -9622 in decreasing order.\nAnswer: 67, 2, -9622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 501 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/17? (a) 34 (b) -524 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8562595 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 169608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2)*(-2*g**5 + 3*g**5 + 0*g**5) + (-6*g**2 + 6*g**2 + 2*g**5)*(-2 + 1 + 0) + (-g**4 + 0*g + 0*g)*(1 - 1 + 2*g).\nAnswer: -3*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*x + 13, 4*h - h - 11 = 2*x. Suppose 4*d - h = -d - 5*b, -2*d + 8 = -4*b. Suppose 4*w - 3*w + d = 0, -5 = 3*l + 4*w. Is 1 at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.5, 0, 106, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-11))**45*d**(1\/4)*d**(-21\/8) assuming d is positive.\nAnswer: d**(-3979\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of -1\/24*t**5 + 0 + 0*t + 1\/24*t**4 + 1\/84*t**7 + 9*t**2 - 1\/120*t**6 + 0*t**3. Let u(d) = 0. What is d?\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4692, -6019, -8230, -11325?\n\"Answer: -442*y**2 - y - 4249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 665000965 to the power of 1\/3, to the nearest integer?\nAnswer: 873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -98*h - 411. What is n(-10)?\nAnswer: 569","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 8 + 4)*(5 - 2 + 2)*(135 - 69 - 75)*(5*d - d - 3*d).\nAnswer: 450*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m\/m**(-20))*m\/(m*m**6) assuming m is positive.\nAnswer: m**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*q + 1491609 - 1487909 = 0 for q.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 319191067, 319191072, 319191081, 319191094, 319191111?\n\"Answer: 2*h**2 - h + 319191066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/7, 12, 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1420203?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11711 + 4046 = -4*y - 3*z, 0 = -4*y - 2*z + 7670. What is the greatest common factor of 1080 and y?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (27\/3)\/(6\/(-4)). Let f = -135 - -81. Let h = g - f. Is 24 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 4, 2*f = -5*h + 28 - 2. Suppose 0 = f*u + l - 281, -u - 4*l + 44 + 46 = 0. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55532792?\nAnswer: 2, 7, 71, 13967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 r when two letters picked without replacement from {r: 8, v: 3, h: 3, n: 3}?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1045232231 (base 6) to base 11\nAnswer: 6511082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6646598 decades in centuries?\nAnswer: 0.06646598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15938 is divided by 3961.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**(1\/5)))**(-37)\/(u*u*u\/u**(-1\/5))**(2\/55) assuming u is positive.\nAnswer: u**(2003\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1391 is divided by 214?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(1\/6)*w*w**(-7)*(w**(1\/7)*w)\/w*w**5\/w assuming w is positive.\nAnswer: w**(-29\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of 5*d**4\/12 - d**3 - d**2 - 4*d - 5. Let k(u) be the first derivative of j(u). Let m(y) = y**2 - y. What is k(o) - 6*m(o)?\nAnswer: -o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 7 = 4*u + 31, 5*j - 18 = 2*u. Sort 4, -3, 0, u in increasing order.\nAnswer: u, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of d**7\/1470 + d**6\/35 - 5*d**5\/84 - 21*d**2 + 64*d. Factor q(n).\nAnswer: n**2*(n - 1)*(n + 25)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 - 16. Let v = 21 - t. Suppose 117 = v*q - 603. Calculate the greatest common factor of q and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8802 - 4731 = 32*q + 4775 for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 65 + -53. What is the smallest common multiple of ((-34)\/(-14) + 1)\/(v\/42) and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h**3 + 62*h**2 + 487*h + 1423. What is n(-7)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2553575 is divided by 144?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 940487813 to the power of 1\/2, to the nearest integer?\nAnswer: 30667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 10710 = 2*q. Is 17 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 40*b + 2. Let w(p) = 59*p + 2. Let x(v) = 3*c(v) - 2*w(v). Let d(r) = 17*r**2. What is d(x(g))?\nAnswer: 68*g**2 + 136*g + 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/26 + 7\/((-7)\/(-2)))*-7?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -360 + 362. Solve s*h - 3 = -g, 4*g - 9 = 3*g - 4*h for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 1, -2, 2\/3, 5 in increasing order.\nAnswer: -17, -2, 2\/3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2407 * -6.06.\nAnswer: 1.458642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 6, -5*v = -5*o - 6353 - 1267. Let x = 832 + v. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**5\/5 + 35*x**4 + 10434*x**3\/5 + 224694*x**2\/5 + 770013*x\/5 + 555579\/5 = 0. What is x?\nAnswer: -57, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lii when three letters picked without replacement from {l: 5, i: 15}?\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 76799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.25437s in nanoseconds?\nAnswer: 19254370000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/6 - 1\/3. Suppose 5 = 2*w - 0*x - x, -w + 3*x = -10. Let c(r) = -r. Let q(u) = -1. What is f*q(i) + w*c(i)?\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 386 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-43 - (-8 - -7) - (0 - -3)) + -58 + 51?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/15395 - 1400929\/246320. Find the common denominator of t and (-9 - -13) + (-226)\/32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 2*l**2 - 4*l. Let h be d(-3). Let c be 7\/h + (-10)\/(-15). Let g = -102 + 107. Solve g*j - 2 = c for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2981147?\nAnswer: 13, 43, 5333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -191\/105090 and -59\/229270.\nAnswer: 2409398430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 5 = r - 7, 2*b - 4 = -5*r. Suppose -b*u + 8 = 2*u. Let y(x) = -3*x - u*x + 0*x. Let c(n) = -2*n**2. Give y(c(q)).\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/(-4) - (-3)\/(-6). Let k(q) = q**3 - 9*q**2 - q + 7. Let f be k(9). Let x = f - g. Do 2\/5 and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-30) - (-11891)\/(-705). Let v(b) = 5*b - 11. Let x(h) = -14*h + 32. Determine a*v(g) - 6*x(g).\nAnswer: -g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -26 - 7*x + 19 + 516*x**2 - 515*x**2. Determine c(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2285542 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 296475167.\nAnswer: 3253, 91139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 4.6 (b) 4977 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**3 + 0*r**3 - 6*r**3 - 2*r**3 + 10*r**3.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.09, -1\/50 in ascending order.\nAnswer: -1\/50, 0.09, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = u + g - 3*g, -g - 4 = 0. Does 9 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -7. Let g = n - -6. Suppose -25 = -6*q + 11*q. Put g, q, 0.2 in descending order.\nAnswer: 0.2, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {n: 13, u: 6}?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4283 - 332. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**4 - 870*b**3 + 5100*b**2 - 10120*b + 6720.\nAnswer: 5*(b - 168)*(b - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/20 and 67\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -299*w - 1573 - 3764 = 294*w for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 776249a?\nAnswer: -7762496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 105*l - 789. What is n(112)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.283405804 to one dp.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s**4 - 5*s**4 + s**3 + 3*s**4 + (-5 + 5 - 2*s**3)*(15*s + 22*s - 21*s) to p*s + v*s**4 + l*s**2 + n + u*s**3 and give v.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-518*a + 7997 - 7997)*(0*a - a + 0*a) - 1 + a**2 + 1.\nAnswer: 519*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -243, -3, 1, 5, -22 in descending order.\nAnswer: 5, 1, -3, -22, -243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34.0069 - -0.0069. Let n = v + 35. Which is the smallest value? (a) 0.4 (b) 9 (c) 4 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from ssurulsruu.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -25462.483 to the nearest ten.\nAnswer: -25460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 109067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence da when two letters picked without replacement from {d: 1, a: 1, x: 6, q: 1}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 169425.\nAnswer: 1\/33885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - p - 3*p - 44 = 0, 0 = -3*a + 2*p - 28. Let v be 2756\/9 + a\/45. Calculate the highest common divisor of 34 and v.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (100*7\/(-14))\/(5\/((-100)\/20)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y**2 - 7*y + 1. Let p be u(-5). Let s = p + 77. Calculate the greatest common divisor of 76 and s.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, 33, 6\/7, -5 in descending order.\nAnswer: 33, 5\/2, 6\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + 6*j - 12. Let q be k(3). Calculate the common denominator of -3 + 365\/(-60) - q and -103\/22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2358*z**3 + z**2 - z**2 - 2362*z**3.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8200 by 4.\nAnswer: 2050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**2 - 5*m + 4. Let j be d(-4). Let z(q) = -2*q**2 + q - 1. Let u(y) = -3*y**2 - 8*y - 3. Let b(r) = -u(r) + z(r). Determine b(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 165 + -166.9. Which is the third smallest value? (a) r (b) -1\/4 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1\/9, 2916030 in decreasing order.\nAnswer: 2916030, 3, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 1, -5 in ascending order.\nAnswer: -5, 1, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -19, 37, 4\/7?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -61*c + 21. Let b = 37 + -77. Let k = -45 - b. Is j(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 90 = 110. Solve -3*u - 5 = 4*j - r*u, 3*u - 5 = 2*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-2)*1704\/355.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 596 to the nearest 10.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 3*m + 5, 2*a - 4*m + 505 - 509 = 0. Sort 1, 4, 0, -5, a.\nAnswer: -5, 0, 1, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-112)\/(-28))\/(-1))\/(2\/(-6))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2 + 3*v + 2. Suppose -3*p - 9 = -3*m, -2*m = 2*p - 0*p + 2. Let h be a(p). Suppose 0 = -h*n + 119 + 5. List the prime factors of n.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l + 3*u - 110 + 710 = 2*l, -7*l + u - 180 = -4*l for l.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -842*j = -215*j + 57*j + 8892 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 9:27 PM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19.122 + 19.022. Which is the closest to 4? (a) l (b) 2\/11 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -10*o**2 - 3\/4*o**4 - 1\/120*o**6 + 0*o + 0 + 0*o**3 - 7\/60*o**5. What is the tens digit of y(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 40507, 81016, 121525, 162034?\n\"Answer: 40509*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 6*s - 9. Determine h(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1982 - -1984. Solve -20*k - w*t = -22*k, -k = 5*t for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.9*12\nAnswer: -118.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 3*g. Let z(h) = -h**2 - 3*h + 5. Let x(j) = 2*j - 2. Let f(v) = -5*x(v) - 2*z(v). Suppose -29*k + 101*k = 216. What is k*f(u) + 4*q(u)?\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2371.10187 rounded to the nearest one hundred?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - -2) + (0 - (-22 + 72)) + -3 + 1?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -11*r**3 + 78*r**2 - 11*r + 33. Let p be i(7). Solve -d + 7 = m + p, d + 7 = 2*m for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 4467013\nAnswer: 5\/4467013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74*0.12.\nAnswer: -8.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14 times 2?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 99 = -a, -47*a + 5*n + 51 = -44*a - 46 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37)\/(1887\/(-828)) + (6240\/15)\/(-26)?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -19*q - 4. Let h(a) = 780*a + 165. Let r(j) = -4*h(j) - 165*t(j). Let d be r(6). Let z = -40 + 49. What is the highest common divisor of z and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g + 144*g**2 + 17*g**3 - 289\/2 + 1\/2*g**4 = 0. What is g?\nAnswer: -17, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/1164 and -149\/312?\nAnswer: 30264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/48 and 59\/33245984?\nAnswer: 99737952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -174.42 rounded to the nearest integer?\nAnswer: -174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2100213114 (base 5) to base 8\nAnswer: 20326437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7168478669 to the power of 1\/2, to the nearest integer?\nAnswer: 84667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 12. Suppose -8*n + 56 = 4*t - s*n, -47 = -3*t - 5*n. Does 4 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/12)\/(((-105)\/(-10))\/21)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.136 - 0.236. Let p = 38.9 - 39. What is the closest to -9 in p, c, 1, 1\/6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i**3 + 240*i**2 - 245*i + 617. Determine s(79).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a millennium in decades?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -126*s. Let z(i) = -846718*i. Determine z(u(k)).\nAnswer: 106686468*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-27)\/(-5) + (8 - 11). Factor 3\/5 + o*w**3 + 18\/5*w**2 + 12\/5*w + 3\/5*w**4.\nAnswer: 3*(w + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 74860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2583777831?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m + 23. Let q be d(-21). Let k = -13 - -5. Let j be q\/(-12) - (-153)\/(-54) - k. Solve 10 = -3*i + j*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, g: 8, u: 4, h: 2}. Give prob of sequence hguj.\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 9)*(-3*h + 3*h - 4*h).\nAnswer: -16*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16635 is divided by 260.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 307281319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -13*d**3 + d**2 + 13. Let m(b) = -4*b**3 + 4. Suppose -k = -2*t + 16, 3*t + 13*k = 18*k + 31. Determine t*m(g) - 2*u(g).\nAnswer: -2*g**3 - 2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -5, 43, -3, -4\/5, 0.05.\nAnswer: -7, -5, -3, -4\/5, 0.05, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -2*q + f + 6, -2*q - 4*f = -6. Let r(x) = 172*x - 5. Let l(p) = -87*p + 3. Let s(k) = -6*l(k) - 3*r(k). Let m(w) = 2*w - 1. Give q*s(z) + 8*m(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l - 19184 - 7732 = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 8*d**2 - 351*d + 3728. Calculate i(18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*(sqrt(408) - sqrt(408)*1) - sqrt(408))\/(sqrt(12) + sqrt(144)\/(2*sqrt(12))))\/(sqrt(128)*3*-5*6))**2.\nAnswer: 17\/1166400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/42 + -9\/14. Let z = 1 + -1. Put z, 0.4, x in increasing order.\nAnswer: x, z, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 35 = 4*v, b - v - 4 = 4. Is b less than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/21, -23, 1\/4, 3\/2, -3?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(-1\/2)\/v))**25\/((v*(v*v\/v**(-2\/11))\/v*v)\/(v\/((v\/((v**(-3\/4)\/v)\/v))\/v))))**(-26) assuming v is positive.\nAnswer: v**(-32929\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, 1\/546, 0.3, -0.04, -5, -0.063, 3?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -40, -91, -154, -229?\n\"Answer: -6*j**2 - 33*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(3\/5)\/(q**5\/q)*((q*q*q**(-1)*q)\/q)**2*(q**(3\/4)\/q**5)**(-2) assuming q is positive.\nAnswer: q**(71\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 77472727 to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 510485356*z**5 - 6*z**2 + 2083410*z wrt z?\nAnswer: 30629121360*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 2*d - f, -5*d + 4*f + 7 = 0. Let h = 8 - d. Put 0, 4, h in increasing order.\nAnswer: 0, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 5*q - 4. Let p be u(-6). Let g(i) be the second derivative of 0*i**p - 1\/6*i**3 + 0 - i. Let z(h) = h**2. What is g(z(d))?\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 20 + 13 = 0. Let r(f) = -f**2 - 37*f - 32. Suppose 5*d + 3*h + 25 = 0, 2*h - 20 = 15*d - 11*d. What is the remainder when r(d) is divided by m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6584019 to the nearest integer?\nAnswer: 2566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 270 (base 8) to base 11\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 342 + -445?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p + 1 - 5*p + 199663*p**2 + 268143*p**2.\nAnswer: 467806*p**2 - 3*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*w - k + 10, -13 = 5*w - k. Suppose 1 = v - 2. Suppose -v*y = -i - y + 4, 4*y = -2*i - 8. Sort i, w, 5, 4 in increasing order.\nAnswer: w, i, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -204, -672, -1588, -3102?\nAnswer: -5364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fbb when three letters picked without replacement from {f: 6, b: 5, n: 2}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.58 - 0.88. Let x = a - -0.3. Let p = x - 4.3. What is the closest to 0 in 3, 0, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-8))\/(2 + 1). Suppose 337122 = -352*x + 338530. Which is the closest to t? (a) 0.6 (b) 1\/5 (c) x (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 161, 4, 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v + 5796*i - 14 = 4*v + 5805*i, -2*v + 6 = -6*v - 5*i for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -84 or 211747?\nAnswer: 211747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 323 and 7922.\nAnswer: 150518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102 and 2466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2220220002 (base 3) to base 8\nAnswer: 160250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3017059701?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 128 and 2404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15444 or 17263?\nAnswer: 15444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 9. Let r(u) = -3 + 0 - i*u + 6*u. What is the units digit of r(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3506\/21 + -167. Which is greater: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2984 divide 226202120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6000)*-2 + sqrt(6000))*-5)\/(5*(sqrt(12) + -2*sqrt(108))).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -10279.91284861 and 0.2?\nAnswer: 10280.11284861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1331.2177 * -0.1\nAnswer: 133.12177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 640.4617 micrometers to millimeters.\nAnswer: 0.6404617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 654745084 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10208946?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 46\/115 - 393\/(-5). Let g = 81 - f. Solve 0 = g*a - 3*a - 3*o - 15, 15 = 3*a - 3*o for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + c**2 + 2. Let i be p(0). Suppose 4*n = -2*r, -5*n - 2*r - i = -2*n. Suppose 0 = -3*m + n + 4. Solve 2*o = -3*y + m, -2*o = -o + y + 1 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 4*j**2 + 3*j + 6. Let y be s(-4). Let l(a) = 9*a**2 + a - 2. Let r be l(-2). Let c = r + y. What are the prime factors of c?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 8*f - 13. Let i be j(2). Suppose 3*g - 5*x = 20, 5*g + 6*x - 22 = i*x. Sort 0.5, g, 0 in descending order.\nAnswer: g, 0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9.5 and 413644.\nAnswer: 413634.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 963 and 35218301.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a + 14 = 190. Is ((-24)\/a)\/(1\/(-60)) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*g**2 + 464*g**2 - 260*g**2 + 358*g**2 + 143*g**2.\nAnswer: 793*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30104 by -10.\nAnswer: 15052\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 435 + -427. Does 5 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a + 1. Let v be u(-3). Let h = 10600.98 - 10601. What is the biggest value in -2\/19, v, h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4468 + 4453 - (-21 - 1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 0*s + 32 = 0. Let g = 22 - s. Let z be 13\/2*(8 - g). Calculate the greatest common divisor of 65 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 23 = -1234*t + 1236*t, 3*t = -3*a - 33 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -168?\nAnswer: -168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, 13, 3, 0, -0.05?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.024579ml to litres.\nAnswer: 0.006024579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -5*v**2 + 2*v - 2. Let g be q(2). Let r be (-10)\/45 + 86\/g. Let p(f) = -f**3 - 4*f**2 + 5*f + 4. What is the units digit of p(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13092 + 16543. Which is bigger: 3452 or c?\nAnswer: 3452","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 159582\/46399?\nAnswer: 159582\/46399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53672788 to the nearest integer?\nAnswer: 7326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -68557 < -652?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -92*f**3 - 10*f**2 - f - 9. Let m be o(8). Let z = m + 102532. Let g = 104771 - z. What is g rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1510.5 - 1511. Let w = -3.2 + 4. Which is the third biggest value? (a) 2\/13 (b) w (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of -58*t**3\/3 - 697*t**2\/2 - 162*t + 18. What is w(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + (-44)\/(-12) + (-38)\/(-6). Suppose -5 = g*m - 19. Let 0 + 0*q**m - 3\/4*q**3 + 0*q + 15\/4*q**4 - 3*q**5 = 0. What is q?\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-48)\/(-80))\/(-1 - 17\/(-5)). Is 5\/77 less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7979 - -1?\nAnswer: 797a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3454694, -3454707, -3454736, -3454787, -3454866, -3454979, -3455132, -3455331?\nAnswer: -3455582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.06, 2, 54\/7, -0.4, -3\/4, 0.3?\nAnswer: 54\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o + 4. Let n be u(2). Factor t**2 + 2*t**2 - n*t**2 - t**4 + t**5 - t**3.\nAnswer: t**2*(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -490*t = -900*t - 828*t + 23522 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (70*f + 13*f + 44*f)*(-5*f + 20 - 20 - 2*f + 1 - 1 + f - 2*f + 2*f + (-3 + 3 - 2*f)*(0 + 1 + 0) + 0*f - f - f) in the form a + o*f**2 + b*f and give o.\nAnswer: -1270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1342 + 23 = 455*c. Let n(f) be the second derivative of 13*f + 0*f**2 + 0 - 1\/6*f**c. Let x(v) = 41*v. What is x(n(y))?\nAnswer: -41*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 0 - 1 + 3*p + (-5 - 6 + 5)*(8504 - 89*p - 8504) as n + x*p and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-198)\/(-12) + -9)*4\/6. Solve 8 = -3*q + i*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -6*h**2. Let p be 9 - (0 + 4 - -3). Let j(x) = -3*x**2 - 9*x**2 + 2*x**p. Calculate l(j(v)).\nAnswer: -600*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 20565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -64.2 + 64. What is the nearest to o in 6, -0.3, 1\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 7*t**2 + 10*t - 7. Let z(j) = j**2 - 9*j. Let c be z(8). Calculate the remainder when b(6) is divided by -15*7\/(140\/c).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -167403 and -6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5276515.\nAnswer: 5, 1055303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -9, -2, -0.4, 46, 2\/3, -7, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Is 567348342 a multiple of 743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*u + 7*u - 4*u + (2 + 0 + 0)*(-2*u - 3*u + 3*u) + (-1 - 1 + 0)*(-2 - 2*u + 2) to c*u + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2889.813 + 2890. Sort i, -3, -2.\nAnswer: -3, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96271.13 rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/2173?\nAnswer: -1\/2173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + -17. Let w = 7 + r. Calculate the remainder when 49 is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 11, d: 5}. What is prob of picking 1 d and 3 n?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.08 and 0.048.\nAnswer: 0.00384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -307 - -475. Let h = p - -122. Suppose h + 125 = 4*w - 3*z, 3*z - 285 = -3*w. Does 20 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 647677.08 nanoseconds to hours.\nAnswer: 0.0000001799103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2*q - 2 + (-5*q + 2*q + 2*q)*(4 + 8 - 2).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 12:51 PM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1*15\/9)\/((-5)\/(-18)). Suppose 0 = -x*t + t + 60. What is the highest common factor of t and 114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 4 (b) 0.4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 8*m**4 - 35*m**3 + 58*m**2 - 43*m + 6. Let h(i) = -i**4 + 2*i**3 - i**2 + 2. Let y(u) = -b(u) - 3*h(u). Factor y(w).\nAnswer: -(w - 3)*(w - 1)**2*(5*w - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, -2\/9, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 3*a**2 + 2*a - 5. Let h be n(-4). Suppose 0 = 5*m - 23 + 8, 5*m - 6 = h*z. Solve z*p = -3*d, -2*d - 4*p + 2 = -6 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/((-11)\/20 - 1\/5). Let v be p - 0\/4 - 25. Let n = v - -24. Solve n*o - o = 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 7106915.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 480 + -914. Let t = 435 + m. Let b(s) = -25*s. Give b(t).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 194*z - 195*z + 19 + 7. Let p be d(4). Let i(j) = j**3 - 21*j**2 - 21*j - 11. What is the remainder when i(p) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -5*g + 1765, -10*g = -14*g + w + 1430. What is the remainder when g is divided by 29?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180166935 a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/45*(-3)\/(-2). Which is the nearest to -3? (a) p (b) -1 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*s + 2*s**3 - 3*s - 13 - 114*s**2 + 6 - 48*s**2 + 6 to i*s**3 + h*s**2 + t*s + j and give h.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2880)*1)\/(sqrt(20)\/(-1*sqrt(5))).\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2\/12)\/((-22)\/11781*30) and -11\/18?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.25 in 4, -0.1, 2\/63, -51, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 0*c - 303 = -3*c, -3*q = -5*c - 319. Suppose -99*h + q*h - 16 = 0. Solve -6 = -4*r + z - 4, r - 2*z - h = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*j**2 + 58*j**2 - 328*j + 332*j.\nAnswer: 43*j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -26 + 11. Suppose -g*y = 4*y - 14. Determine p, given that 10\/3*p**4 + 80\/3*p + 80\/3*p**y + 40\/3*p**3 + 32\/3 + 1\/3*p**5 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81606 = 365*l + 3515*l + 70715 - 233549 for l.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/503 in 0.09, 0.6, 1\/3?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, 1\/2, 0.02, 9, 7, 2\/11?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.19 + 0.06. Let t = m - -0.53. What is the second biggest value in t, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 18 = 4*v, 6*v + 31 = 4*r - 15 + 14 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -5 (c) -0.41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127*f**2 - 59*f**2 - 38*f**2 + 1403 - 34*f**2.\nAnswer: -4*f**2 + 1403","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13\/14 + -3\/7. Let k(y) be the second derivative of -1\/2*y**2 - 1\/3*y**3 - l*y**4 + 0 - 3*y. Determine k(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7 - 0 - 0\/1. Suppose -5*u = 20*m - 16*m - 22, -3*u - 22 = -2*m. Differentiate 51*d + m*d**3 - 51*d - b wrt d.\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1065279.432 to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*k - 4*k. Sort -1, 3, k in ascending order.\nAnswer: k, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 28, 0, 2\/323, 2?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-l + 0*l - 2*l)*(2*l + 0 + 0) - 2*l**2 + 3*l**2 - 2*l**2 + (3*l - 3*l - l)*(3*l - 2*l + l) + 0*l + 0*l + 2*l**2)*(-4*l**2 + 2*l**2 + 0*l**2).\nAnswer: 14*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -20*r - 16. What are the prime factors of q(-5)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q - 1. Suppose -93*c - 8 = -89*c. Let y(h) = 2*h + 1. Let s(a) = c*i(a) - 3*y(a). Give s(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(((-45)\/(-66))\/5). Let f(m) = -m - 19. Let d be f(u). Suppose 5*w - d*w = 32. What is the remainder when 61 is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*w + 117*w - 127008 = -61*w. What is the remainder when w is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 169025123?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 4*w = -4, -4 = 47*w - 46*w for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of 5*w**3\/6 - 3*w**2\/2 - 24*w. Let p be j(3). Let o = 4 + 0. Solve r + 4*h = -p, -o*r + 9*r = 3*h + 32 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3 - 2 + 2*a + 5. Let f(v) = v**2 + v - 4. Let t be f(-3). Suppose -x - 2 = -t*x. Determine j(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 618 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3 + (-5 + sqrt(1584) + 0 + -3)**2 + 4).\nAnswer: -576*sqrt(11) + 4965","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-6 + 6 + (-3 - 0)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 4*s - 3*d, -4*s - s + 5*d = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*y**4 + 5 - 1 + 166*y**2 - 83*y**2 - 79*y**2 as o + h*y + l*y**4 + g*y**2 + a*y**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -9*s**2 - 17*s - 5. Let x(r) = -16 + 13 - 2*r**2 - 9*r - 3*r**2. Let d(f) = 3*n(f) - 5*x(f). Factor d(a).\nAnswer: -2*a*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 4*v + 12, z = -6*v + 4*v + 4. Suppose -5*d = -d - 12. What is the derivative of 5 - d + 0 - z*y**4 wrt y?\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 942398 - -3c?\nAnswer: 9423d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -761624000 by -16.\nAnswer: 47601500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvuppuvuvvvpvvpvlpvv. What is prob of sequence puu?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15009*v**4 + 6099*v?\nAnswer: 180108*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 31\/5 of a millennium?\nAnswer: 74400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52*z**3 + 154*z**2 - 462*z**2 + 78*z**3 + 4397*z + 156*z**2 + 162*z**2 wrt z?\nAnswer: 780*z + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01 - -339.59775.\nAnswer: 339.60775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011233013 (base 4) to base 6.\nAnswer: 10042223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - n + 1 = 4*n, 4*n - 6 = 2*b. Suppose x + 5*x = -12. Is x not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/((-1716)\/24)*12*(-15)\/120.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*h - 79*h + 22*h + 1386 = -3*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 4*m + 721, -5*j + 3*m = 7*m - 689. Calculate the highest common factor of 2256 and j.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6184318079?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 3\/4, -1\/443, -2\/77 in increasing order.\nAnswer: -0.5, -2\/77, -1\/443, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7814 + 7829. Let m be (1 + 0 - 2)*-3. Suppose -m*y - 5*n + 154 = 0, 34 - 14 = -5*n. Calculate the remainder when y is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(-4))\/((-12)\/(-64)). What is the nearest to -1 in -2\/13, d, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 8 + -7 + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 101 by 6.\nAnswer: 101\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56 and 566704?\nAnswer: 3966928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.995378 months in years?\nAnswer: 1.9162815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 0, -48, -86, -114, -132, -140?\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17782913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 546 - 280. Let w = b + -148. Let c = w + -113. Solve 12 = -c*k - 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + 680459846.4132.\nAnswer: 680459860.4132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18863 is divided by 54?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 1411 - 849 = -4*l, -6*a = -l + 590. Solve -320 = 30*y - l for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 5:01 AM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 615*f**4 - 3*f**3 + 59*f**2 - 5. Let x(n) = n**4 - 3*n**3 + 2*n**2 - 1. Let b(g) = -v(g) + x(g). Find the third derivative of b(m) wrt m.\nAnswer: -14736*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 19 + 2*o**2)*(-48*o - 7*o - 9*o).\nAnswer: -128*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 6:26 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4\/5*(-93125)\/(-250) is divided by 52?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqioibnoqqoijnnii. What is prob of picking 1 q and 1 b?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5174.48ns in seconds?\nAnswer: 0.00000517448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/90 and 41\/15.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -345 - 62*i**2 + 191*i**2 - 62*i**2 - i - 65*i**2 to w*i + s + g*i**2 and give s.\nAnswer: -345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -104 + 110. Suppose b = 2*y - 4*q, -5*y = -3*q - 0*q - 22. Let c(i) = i**3 - 5*i**2 + 7*i + 2. Calculate c(y).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*f + 131*f = 1070 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 66*d**2 - 14*d + 3323. Calculate t(-65).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 - 3)*(0 - 6 - 7*b + 4) to v + y*b and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14\/465 - 10103\/930. Let h = 48 - 9. Calculate the common denominator of 3\/(-2)*h\/(-5) and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) -266 (b) -11 (c) -0.08 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 4*w**2 - 4*w - 4. Let n(h) = -h + 2*h - 8*h**2 + 7*h**2 + 1. Calculate 4*n(b) + z(b).\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19032813, 19032808, 19032803, 19032798?\nAnswer: 19032793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 170*s + 2379. Calculate x(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 251847 or 503693\/2?\nAnswer: 251847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48161 - 27245. List the prime factors of q.\nAnswer: 2, 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53796, -215144, -484052, -860526, -1344572, -1936196?\nAnswer: -2635404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000227 rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2*t = -4*x + 110, 5*x + 4*t = 144. Let y = x + -24. Let c(h) = y*h**2 - 14*h**2 + 9*h**2. Let b(s) = 41*s**2. Give c(b(g)).\nAnswer: -1681*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 11*k + 44 = 0. Let n be 9\/2 + 1 + 2\/k. Suppose -s + 0*s - 5*z + 5 = 0, s - 5*z = -n. Solve -3*f + 0*f + 3 = s for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from {k: 2, y: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 95 + -135. What is the common denominator of 97\/24 and ((-79)\/o + 0)*-2?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 288857 or 288858?\nAnswer: 288857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, t: 6}. Give prob of sequence nt.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -3*k - 72, -3*t - 33 = -t - 3*k. What is the common denominator of (-11)\/t*63\/(-14) and -1\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1f - -5?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2649 + -36a3?\nAnswer: -6241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*2\/6*9\/(-2). Let j be 4 - (4 - (s + -18)). Let m = j + 25. Solve -5*f - m - 6 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -307\/4, -0.019 in descending order.\nAnswer: 4, -0.019, -307\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1143820 = -23*z + 3*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11713972.\nAnswer: 2, 127, 23059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -91*d**3*i**2 - 6*d**2*i**2 + 3*i**2 - 3 wrt d.\nAnswer: -273*d**2*i**2 - 12*d*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125168*v**3 + 62549*v**3 + 62612*v**3.\nAnswer: -7*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 5 = 3*y. Suppose y*i - 4*h = 884, h - 1108 = -5*i + 3*h. Let u = -148 + i. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 8 = -10. Let p(s) = 78*s**3 + 8*s**2 - 39*s**3 - 40*s**3 - 3*s - 4 - 1. Let y be p(h). What is the highest common factor of y and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 3:52 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 82297 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 67854 and 25248.\nAnswer: 1578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9908*n**2*t**3 + n + 3458*t**3 + 4*t wrt n?\nAnswer: 19816*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = r - 6. Suppose -3*y = -r*y. Let w(g) = g**3 + g**2 + 2. What is w(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228577834.\nAnswer: 2, 163, 701159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 715, 1399, 2113, 2869, 3679, 4555, 5509?\n\"Answer: 2*i**3 + 3*i**2 + 661*i + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-8) + (-2889)\/4. Does 19 divide a\/(3*(40\/12 + -4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - 88. Let v be (8 + 0)*(-177)\/(-12). Let a = i + v. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 6*c**2 + 31. Let z be w(5). Let s be (-30)\/(-18)*-1*3. Sort z, 1, 4, s in descending order.\nAnswer: z, 4, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/131 (b) 0.1 (c) 3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -651710 and 0.4?\nAnswer: 651710.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 12:39 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 350\/121 - 1845\/847. Are 25\/3 and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 451316 + -224015. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*u**3 - 4\/5 + 0*u**2 - 6\/5*u.\nAnswer: 2*(u - 2)*(u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171491?\nAnswer: 171491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 172, 175, 178, 181?\n\"Answer: 3*u + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1343209 smaller than -239?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*g - 71*g + 3029 = 5097 + 5000 for g.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -1 + (-9 - -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(sqrt(80)*4) - -2*sqrt(50)\/(sqrt(60)\/sqrt(6)).\nAnswer: 33*sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-63)\/(-30))\/(-3)*(-4)\/7.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*m - 6 = 0, -12*m = k - 15*m - 6. Suppose -4*y - 4 = -0*y. Let o be 4 + 14\/6 + y. Which is smaller: o or k?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*d**2 - d**2 + 4*d**2 + 0*d**2 + 3*d**2 - 4*d**2 + (3*d + 3*d - 4*d)*(3*d - d - d) + 3*d**2 - 2*d**2 + d**2 - 4*d**2 + 3*d**2 + 2*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -12*o + 113. Let c be a(9). Suppose -1 - 2 = -3*d + 3*p, 3*p + 3 = -d. Solve c*g + d*g = i - 28, 5*g = -i - 22 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 523, 42, 28 in decreasing order.\nAnswer: 523, 42, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4340925 a multiple of 295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.09 - 9.91. Let h = -10.1 - v. Which is the second smallest value? (a) -2 (b) h (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 10139, 20178, 30035, 39620, 48843?\n\"Answer: -15*m**3 - m**2 + 10147*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 41296*c. Let m(f) = 2*f**2. Determine m(q(r)).\nAnswer: 3410719232*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 5148 divide 1458416197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 9:05 PM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 57\/5 of a kilogram?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 300229 != 900686\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 + 4*l\/3 - 16\/3.\nAnswer: 2*(l + 2)*(3*l - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 6*a - 4305. Let v(m) = -2*m**2. Give t(v(y)).\nAnswer: -12*y**2 - 4305","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 210280 and 24032.\nAnswer: 841120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 4, 0.13, -0.4, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 240 and 262416?\nAnswer: 1312080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t**2 + 6*t**2 - 8*t**2 + 1 + (2*t - t - 2*t)*(-t + t - 2*t) as s + p*t**2 + d*t and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-1)\/1)\/((-11)\/858)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 23 + 64)*(r - 3 + 3).\nAnswer: 102*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 952 is divided by 235?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + 19. What is the highest common divisor of 18 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 3. Let u = -31.5 - -23.1. Let z = u - -8.3. What is the closest to -1 in d, 2\/9, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -151.31 to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 116044941?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - 18)*(-132)\/2046.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r + 2. Let t(n) = -269*n + 16. Let i(x) = -t(x) + 4*z(x). What is the hundreds digit of i(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -13122*p**2\/17 - 648*p\/17 - 8\/17 = 0.\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirty-four fifths of a tonne?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + 2 + -4 + -10 + 4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*g + 58*g = -11 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5928 + 2964 = -13*i. Let g = i - -13014\/19. Find v such that 0 + g*v**2 + 4\/19*v = 0.\nAnswer: -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100726?\nAnswer: 2, 50363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -60\/157 + -20013\/628. Let h = -32 - n. Let p = -4 - -4. Which is the nearest to 0? (a) p (b) h (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(1\/(0 - -1)). Suppose -z + 4 = -k*z. Let t be (-6)\/(-9)*(-117)\/(-6). Solve -z*f + 20 = -3*s, 3*f - 2*s = t + 1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2578136.\nAnswer: 2, 11, 29297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -9. Let q = -3 - -5. Suppose o = q*x + 6, -5*x = -3*o + 11 + 7. Solve f = -2*h - o - 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*j**3 + 381*j**3 + 728*j**3 + 51*j**3.\nAnswer: 1205*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2060*j - 150*j**2 - 1058*j - 150*j**2 + 301*j**2 - 1002*j.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 + 0 - (-4)\/(-2). Let i be (2\/q)\/((-2)\/(-12)). Let v(k) = -k**2 + 4*k. What is v(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 3:03 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 917.9 + -979. Let t = c + 56.63. Let a = 0.53 - t. Sort a, 1\/3, 3 in decreasing order.\nAnswer: a, 3, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1878, -1671, -1464, -1257?\n\"Answer: 207*d - 2085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 2:33 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 4*a**2 - 10*a - 1. Let n be k(-7). Suppose -7*w - n = -12*w. Calculate the greatest common factor of 53 and w.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8512*w + 8288*w - 1354*w.\nAnswer: 15446*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 593268505 plus 1.13?\nAnswer: 593268506.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 11 = -l + 3*s, -2*l = 3*s + 8. Let d = -159 + 109. Let v be 2\/7 - d\/(-224). Is l less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 14*s**2 + 15*s + 37. Give j(-14).\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2210 (base 11) to base 14.\nAnswer: 10c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 106789*p**2*y**5 + 45*p**2*y**2 + 1999*p**2*y + 340*p**2 wrt y?\nAnswer: 2135780*p**2*y**3 + 90*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -5*j**3 + 2*j**3 + 3*j**3 - j**3 + 2. Let w be (-48)\/(-27) - 4\/(-18). Give k(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**3 - v**2 + 102 - 97 + 4*v**4 + 3*v**2 + v to h*v**3 + l*v**4 + m*v + f + p*v**2 and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20365994*b*h + 1888*b - 11230 with respect to h.\nAnswer: -20365994*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44116, -52926, -61738, -70552?\nAnswer: -79368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -4*a. Let m(f) = -2*f + 2. Let n(h) be the second derivative of -h**2\/2 + 6*h. Let k(d) = -m(d) - 2*n(d). Calculate k(x(z)).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2655, -13736, -33247, -61194, -97583, -142420, -195711, -257462?\n\"Answer: -f**3 - 4209*f**2 + 1553*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/3305 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**(-13)\/s))\/s**9*(s*(s\/(s**(-12)\/s))\/s)\/s**(-5))**(-11\/4) assuming s is positive.\nAnswer: s**(-66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -0.106864?\nAnswer: -0.320592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/5124 and 71\/521367.\nAnswer: 2085468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 0. Find the common denominator of ((-185)\/(-6) - q\/(-12))\/5 and 1 - 4 - (-5)\/(40\/(-74)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 10 = 4*q. Suppose c - q*d - 16 = 27, 12 = 3*d. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59866 to the power of 1\/2, to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -667002*u - 44 + 17 + 667077*u + (-11 + 4 + 16)*(0*u + 0*u + 2*u) as d + g*u and give d.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -210.427, 1\/2, 8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4*i - i = -122, -5*c - 2*i = -127. Does 2 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8827805 = -88*b + 12059787. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000184248 to five decimal places.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 11:35 PM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -19 (b) -7024.8 (c) -2\/7 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + 4*f + 4. Let k be a(4). Suppose k*n - 350 = 2*m, -n + 2*m = 2*n - 260. Is 10 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from hrnillrltnr?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -625*a**2*q + 1040*a**2*x**2 - 9*a*q*x**2 - 38*a*x**2 - 30*q*x**2 + 4*q*x wrt a.\nAnswer: -1250*q + 2080*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 3*a**2 + 2*a - 4. Let t be r(3). Let c be ((-1)\/3)\/(t\/(-6)). Let j = 18 - 13. Sort c, -5, j in descending order.\nAnswer: j, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 320103?\nAnswer: -320120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 8 = -6*s + 4*m, 5*s + 4*m + 1 = 0. What is the units digit of ((-66)\/(-55))\/(s\/(-105))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -623? (a) 6\/13 (b) 152 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/488 and -85\/64.\nAnswer: 3904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (11 - (-2 + -1))\/2. Let x = 35 - o. What is the greatest common factor of 4 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g - 2*g + g + 8*g - 8 to x*g + c and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/21 and 56\/1923951.\nAnswer: 13467657","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -859 + 861. Solve 9 = w - 4*c, 23 = g*w + 3*w + 2*c for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 4260\/73, -821?\nAnswer: 4260\/73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -104962437 or -104962428?\nAnswer: -104962428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.56927454 to 2 dps.\nAnswer: -0.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of a**4\/4 + 6*a**3 + 17*a**2\/2 + 62*a - 43. Let j be z(-17). Let b = 79 + -48. What is the highest common divisor of b and j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1058410 is divided by 1058313.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**3 - 11*c**2 + 11*c - 33. Is s(6) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6539 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1381, 2354, 3329, 4306, 5285, 6266, 7249?\n\"Answer: m**2 + 970*m + 410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-3) - (-4)\/12. Let v(p) be the second derivative of -p**5\/20 + p**4\/12 - 3*p**2 - 2*p. What is v(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o. Let f(l) = -4639*l**2. Calculate u(f(m)).\nAnswer: -13917*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -454*g**2 - 2*g - 62?\nAnswer: -908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7138975 and 3426708?\nAnswer: 85667700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72, -82, -340, -702, -1168, -1738?\nAnswer: -2412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 38?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000013695636 to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(931) + 2 - (sqrt(190) - 1*sqrt(190))\/sqrt(10).\nAnswer: 2 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (0 - -13 - 9) + 5776?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, h: 2, n: 1, m: 5, i: 1}. Give prob of sequence ing.\nAnswer: 1\/720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -5\/6, -6, -117448 in decreasing order.\nAnswer: -0.3, -5\/6, -6, -117448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2729398?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 c, and 1 s when three letters picked without replacement from chuuhees.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*b - 21505, 12*b = 11*b + 3*a + 10745. What are the prime factors of b?\nAnswer: 2, 19, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**2. Let h(p) = 343*p**2 + 17*p - 48. Calculate h(q(x)).\nAnswer: 1372*x**4 - 34*x**2 - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3650.02 - 3696. What is j rounded to zero decimal places?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -3*b**4\/2 - 1815*b**3 - 95625*b**2\/2 + 117465*b + 411684 = 0.\nAnswer: -1183, -29, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/2)\/p*p*p**(1\/4)*p*p**(-1\/2)\/p*p**0*((p\/(p\/(p\/(p**3\/p)*p))*p*p)\/p*p*p*p*(p\/p**(-2\/11))\/p)\/(p\/(p\/(p\/(p**1\/p))))**14 assuming p is positive.\nAnswer: p**(-421\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 0.2. Let x = w + 0.9. What is the closest to x in -3, 4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 817 + 840 - 1658 - 6*s.\nAnswer: -6*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-3) + (-18 - 55\/(-3)). Let g(d) = -d**3 + d - 23. Determine g(s).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 154805719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 593209*d**3 + 101525*d**3 - 20774*d**3.\nAnswer: 673960*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37516 or -37517?\nAnswer: -37517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*i + 46 = 562. What is the second smallest value in i, 0.6, -2\/9, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -376, -1411, -3124, -5515, -8584, -12331, -16756?\n\"Answer: -339*i**2 - 18*i - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -278 - -335. Calculate the remainder when 1994 is divided by a.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -45*u**2 + 4*u. Let r(g) = -355*g - 1 + 206*g + 152*g + 1. Give w(r(p)).\nAnswer: -405*p**2 + 12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 - 2*x. Let s be d(2). Let u = s + 3. Suppose -5*m + u = -12. What is the remainder when 5 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/7 (b) 65 (c) -3 (d) -7 (e) 114 (f) 0.2 (g) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 613, 1066, 1527, 2002, 2497, 3018?\n\"Answer: o**3 - 2*o**2 + 452*o + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, m: 13}. Give prob of picking 1 x and 1 m.\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56814, -113153, -169020, -224421, -279362?\nAnswer: -333849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 210\/127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wlll when four letters picked without replacement from wwccccclcccccl?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55 + -45. Suppose 4*y = -0*y. Let k = y - -12. What is the smallest common multiple of p and k?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((-13 - 75 - -92) + (-1 - 22) + 1).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-65) - 50\/(-13). Solve 0 = 5*g - 4*c + 19 + 4, a*g = -3*c - 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 times -0.1541449\nAnswer: 0.9248694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bhgghgkbk. Give prob of picking 2 b and 2 h.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 3862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 2. Suppose g + 14 = -x*f, 5*f + 14 = -g + 2*g. List the prime factors of (-1 + -1)*15\/g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*r - 8 = 0, -a = 2*a - r + 11. Let m(k) be the third derivative of 19*k**5\/60 - k**4\/12 - k**3\/2 - 2*k**2 - 20. Is m(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*l - 103 = 257 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165 is divided by 68?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85644880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -9*y**2. Let j(u) = -8*u**2. Suppose 0*f - f + 3*k = 8, f + 4*k = 20. Let d(n) = f*j(n) - 3*l(n). Let t(g) = 3*g**2. Give t(d(i)).\nAnswer: 75*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -0*i - 3*i + 5*z, 3*i - 2*z = -4. Is -2\/9 > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3667*x + 2150*x + 991*x - 5590 + 2337*x wrt x.\nAnswer: 9145","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 3)*5\/(-2). Solve 4 = k*j - 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1659 and 69027.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s + 17. Let b be v(-4). Solve f = 2*f + b for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 12 + 3 = 0, 5*r - 2*v = 31 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1035?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/2)\/(-3*5\/(-30))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -25 + -10 + 22 + -63 + 168\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -78 - -193. Suppose -2*c - 3*c - i = -5*h, -2 = -c. Suppose x - 6*x + 89 = k, 0 = 5*x - h. What is the highest common factor of 160 and k?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139230 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1258567705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2237297 grams in micrograms?\nAnswer: 223729.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -226*t**6 - 38*t**2 - 4*t + 1. Let d(y) = -225*y**6 - 38*y**2 - 6*y + 2. Let n(i) = 4*d(i) - 6*g(i). What is the third derivative of n(q) wrt q?\nAnswer: 54720*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1895, -1893, -1891, -1889, -1887?\n\"Answer: 2*x - 1897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 14, 22, 44, 86, 154, 254?\n\"Answer: o**3 + o**2 - 2*o + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -18, -22, -28, -36, -46, -58, -72?\n\"Answer: -o**2 - o - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -40*b + 1438. Let i be x(34). What is the greatest common divisor of i and 6591?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 104 - 70. What is the highest common divisor of j and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 + -18. Suppose 0 = 2*l + q - 49, 2*l - y*l - 5*q + 29 = 0. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-40)\/12)\/(-4 + (-1047)\/(-270)). Let k = 119\/33 - h. Let y = k + 23. Which is the nearest to y? (a) 2 (b) 5 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 578\/25 + 457\/150. Which is bigger: h or 25?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -13*y + 16. Let m(c) = 4*c - 5. Let z(l) = -7*m(l) - 2*w(l). Suppose k = 2*v + 7, 3*k - 2*v = -7*v - 34. List the prime factors of z(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -238 - -241.38. Let z = p + 1.62. Which is the closest to z? (a) -2\/11 (b) -0.1 (c) -3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -289429, -289436, -289441, -289444, -289445, -289444, -289441?\n\"Answer: s**2 - 10*s - 289420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 21 = 4*a, 0*a = -2*a + t + 11 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007758 to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 11:34 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.609962 months in years?\nAnswer: 1.3841635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -b52b (base 16) to base 14\nAnswer: -12c8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.9 + 1. Let f = 204 + -207. Which is the second smallest value? (a) 2\/13 (b) f (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4698 + 177020077910?\nAnswer: 177020073212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -0.081.\nAnswer: -0.081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o*(o*o**(-1\/8))\/o*o)*o*o**(-8)*((o**3*o)\/o*o)\/o*o*o**(-1\/4)*o*o**(5\/6)*o**5*(o*o*o**(-1))**(-43\/5) assuming o is positive.\nAnswer: o**(-707\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 196\/14) + 20 + 2\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) - -1*3*sqrt(133))\/(sqrt(7) - (-1*sqrt(175) + sqrt(175))).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3075420?\nAnswer: 2, 3, 5, 51257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -7*o**3\/2 + 4*o**2 + 30*o - 1. Let b(r) = 20*r - 7. What is 7*b(j) + 6*t(j)?\nAnswer: 14*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -145*-0.06\nAnswer: 8.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.9 + -0.925. Let x = -6.225 - c. What is x rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-48)*(-16)\/12. Is d <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 33088, 66167, 99246, 132325, 165404, 198483?\n\"Answer: 33079*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -1 - 0) + 2 - (-331 - -328)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 3:31 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 7*s**2 - 5. Let p be x(7). Suppose g + 8 = -0. Let u(t) = -6*t**2 - 8*t - 8. Let v(i) = 4*i**2 + 5*i + 5. What is g*v(n) + p*u(n)?\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 447 a factor of 120152706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 99? (a) 3\/2 (b) -0.1 (c) -0.012 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i + 5*w - 10, -3*i - 1648133 + 1648132 = -2*w for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1894402 and 1698?\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*b + 2058 = -121*b - 202*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3327170 and 5075?\nAnswer: 1015","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 70*((-6)\/5)\/(-3). What is the common denominator of (0 - -2)\/(w\/74) and -37\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3081, -6881, -10681, -14481, -18281?\n\"Answer: -3800*j + 719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of -13*l + 7\/6*l**3 - 1\/6*l**4 + 0 - 2*l**2. Let j be s(3). Let w(q) = -8*q**2 + q. Calculate w(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 324 + -364. Let p = 40.1 + n. Let d = -1 + -2. Which is the closest to -0.1? (a) d (b) p (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 126 and 147.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 356 and 240940.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 156\/(-20)*(1 - 16). Suppose 15*t = -66 + 201. Calculate the highest common divisor of c and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 13 = -2*g - 0*q, 4*g - 34 = -2*q. Let y = 4 + -2. Find the second derivative of 3*i + i**5 + y - 8 + g wrt i.\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x - 26. Determine w(13).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0052 and 88962095?\nAnswer: 88962094.9948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of -l**9\/168 + l**5\/10 + 2*l**2. Find the third derivative of t(i) wrt i.\nAnswer: -360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -913*r**5\/5 + 861*r**2\/2 - 44. What is the second derivative of k(v) wrt v?\nAnswer: -10956*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*n = -108*n + 36*n - 1204 for n.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 q when three letters picked without replacement from znnnnzzfzzq.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5180245 and 8288392?\nAnswer: 41441960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -r + 10, 98 = j + 3*r. Let z be j*-1*2*24375. Round z to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-three halves of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50757177 and 75.\nAnswer: 1268929425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 2*f**2 + 0*f)*(-5 + 0 - 1) + (-3*f - 6*f + 4*f)*(-5*f + f + 2*f).\nAnswer: 22*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/((t*t*t**(-1\/3)*t)\/t)*t**(-6\/5) assuming t is positive.\nAnswer: t**(-28\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -53505 and -9522.86.\nAnswer: -63027.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 28*r + 140. Determine a(-24).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 3*s**2 + 1. Let o(q) = q**3 - q**2 - q - 1. Give k(b) + 2*o(b).\nAnswer: b**3 + b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x**3 - 5*x + 5. Let r(d) be the third derivative of -d**6\/120 - d**4\/8 + d**3\/2 + 34*d**2. Give 3*o(t) - 5*r(t).\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 73086573 to the power of 1\/3, to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of l*p*v**3 - 11*l*p*v**2 - l*v - p*v**3 + 71 wrt l?\nAnswer: p*v**3 - 11*p*v**2 - v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/6)\/(6\/9). Suppose -a*v + 3*s - 32009 = 3*v, -19194 = 3*v + 2*s. Round v to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (184\/(-1288))\/(11\/(-7)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3183*w + 1594*w + 1577*w.\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j**2 - 6970*j - 2429045 = 0. Calculate j.\nAnswer: -697","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15874209269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1838\/9 - -18821\/90. Let q be (-12)\/42 - (-758)\/7. Calculate the common denominator of -1 - 134*(-3)\/q and y.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -34517241 + -3?\nAnswer: -34517244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 1\/3*b**5 + b**2 - b**4 + 0 + 0*b - 1\/3*b**3 = 0?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -j**4\/4 - 4*j**3\/3 + j**2\/2 + 4*j - 132. What is m(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -5. Let b = 4 + x. What is the smallest value in -2\/9, -5, b?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1887378, -3774755, -5662132, -7549509, -9436886, -11324263?\n\"Answer: -1887377*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(294)\/sqrt(7))\/(sqrt(6) + (sqrt(216)\/sqrt(4) - sqrt(54))).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.9998ml to litres.\nAnswer: 0.0029998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 127*i - 252*i + 448*i - 93*i + 1.\nAnswer: -24*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96626.\nAnswer: 2, 48313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bl when two letters picked without replacement from {w: 2, c: 1, y: 1, b: 2, l: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 2*m - 4. Let s be g(4). Let n = -2 + 7. Let f = s + n. Calculate the highest common divisor of 3 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 34 + 6*f - 2*f + 8 - 6*f. Let k(p) = p**2. Give k(c(z)).\nAnswer: 4*z**2 - 168*z + 1764","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20020012120 + 210021?\nAnswer: -20012102022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 32.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*p + 4*p - 2*p)*(7*p**2 - 954 + 6*p - 942 + 1893) as b*p + l*p**3 + g + z*p**2 and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**3 + 6*q**3 + 829*q - q**3 + 3757*q.\nAnswer: q**3 + 4586*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t - 405*n = -408*n - 251, 43*t - 3*n - 1511 = 0 for t.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.557 - 0.027. Let t = p - -0.49. Let u = t - -3.794. What is u rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 + -5 - -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/2975 and -107\/70?\nAnswer: 5950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does -1513 = -3999?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -4, 20.7, 0.4, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -28*w**2 - w + 1. Let l be v(1). Let c = 47 + l. Find the second derivative of -7*m**2 + c*m**2 + 0*m + 5*m + 10*m wrt m.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1864e62 (base 15) to base 12\nAnswer: 5b58a85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 1638 (b) 2 (c) -7\/13 (d) -119\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*o + 0*o - 2*o + 4 + o - 4 + (2 - 3 + 0)*(-2*o + 2*o - 2*o) + 3*o - 3*o + 2*o)*(21 - 21 - 5*o).\nAnswer: -45*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*m - 327 = -96*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q + 10. Let y be t(-5). Suppose -4*f = 2*l + 48, y*l + f = -f - 104. Let s = l - -34. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/((a**2\/a)\/a*a))\/a)**(-3)*(a*a\/(a\/a**(-7)))\/a**9 assuming a is positive.\nAnswer: a**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 a, and 1 p when three letters picked without replacement from paalwlaiapxi?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = -m - 3*q - 20, 2*q - 98 = 4*m. Put 3, -1, m in ascending order.\nAnswer: m, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/26 + -20\/13. Let s = -3.66 + 0.16. Let l = -3 - s. What is the second biggest value in 5, l, h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 301 + -625\/2. Calculate the common denominator of -21\/8 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.5 - 3.5. Let x = -1485 - -1495. Let w = x + v. Is -0.01 less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 5*a**2. Let t(i) = -11*i - 16. Let c be (-10)\/(-6) - 95\/(-15). Let f(h) = -4*h - 6. Let m(v) = c*f(v) - 3*t(v). Calculate m(k(r)).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 6*f**2 - 5*f - 22. Let n be j(-6). What is the greatest common divisor of 72 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 64743, 129489, 194235?\n\"Answer: 64746*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/18 + 1220\/18. Calculate the highest common divisor of 51 and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 9. Suppose 4*g + 993 = -v. What is g rounded to the nearest ten?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(459) - -1*sqrt(459)) + sqrt(459)))\/((sqrt(96)\/sqrt(2))\/sqrt(4))*1.\nAnswer: 27*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 10*c - 3*c - 8*c - 170. Let u be k(0). Let z = u + 327. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -7*y**2 + y + 1. Let z(a) = 28*a**2 - 5*a - 4. Let p(f) = -18*t(f) - 4*z(f). Let c be p(3). Round c to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17529 times 148\nAnswer: -2594292","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - f = -76, 4*f - 42 - 94 = -5*o. Solve -12 = 4*s - o for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5*n = 19, -4*t + 10*n - 12*n + 142 = 0. What is the highest common divisor of 1819 and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/4)\/n*n)**(-9)*(n\/n**4)\/n*n\/(n\/(n*n\/(n*n**(-6))*n)) assuming n is positive.\nAnswer: n**(25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 14*s - 132 = 0. What is the greatest common factor of 33 and s?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 59*z**2 - 5930*z + 679. Determine y(-112).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 4 - 2. Let n = -2\/167 + -467\/2839. Is t less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 8*o + 84. Suppose 4*k + 59 = -3*b, -19*b = -k - 22*b - 26. Determine j(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 0 + g**2 + g + 2*g + 29630*g**3 - 4*g - 2. Let l be r(-3). What is l rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - -140)*(0 + 1). Let y = k - 82. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1914527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 12*s**2 - 12*s - 17. Let p(d) = -d**3 + 21*d**2 - 23*d + 49. Let h be p(20). Give c(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 7 = 1. What is the remainder when 62 is divided by (-1)\/(v + (-43)\/21)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -319 - -820. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = -3*l + 3735. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 1 = 3. Let h = 371 - 376. What is the smallest value in f, h, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 105084 and 44480.\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22\/817 or -1?\nAnswer: 22\/817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x + 33. Let a be z(-11). Suppose 2*h = 5*r - 29 - 145, 3*h + 27 = r. Suppose 16 = -4*j, -4*j + 7*j + r = 4*v. Solve -v*l + 3*l - 15 = a for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*h + 376 = -39*m - 37*h, -2*m + 3*h - 3 = 0 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 621 and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 12:07 PM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-5) + 18056\/185. Solve 30*z = 82 + a for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h**3 + 22243*h**2 + 1951407*h + 39147885 = 0. Calculate h.\nAnswer: -22155, -57, -31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.709899 micrograms to milligrams.\nAnswer: 0.000709899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -2\/5, -0.5, 5, -262\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42 and 1743.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -327 = -5*p + 153. Is (-22)\/(-6)*(-9 + p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -3*m + 18, 3*h - 282 = -273 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1485 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.052083 rounded to four dps?\nAnswer: 0.0521","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.3, -16830, 3\/5, 4, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/23 and 93\/56.\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 3*z + 82 = 0, -168 + 290 = 4*f - 5*z for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93*(-5 + 6)*4?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 108\/144*3\/(27\/264). Suppose 37 = -3*c + 4*v - t, 2*c = -4*v - 6. Suppose -1 - 3 = 4*w. Sort 5, c, w, 4\/3 in descending order.\nAnswer: 5, 4\/3, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 119 = -x, 14*y - 18*y + 5*x = -480. What is the highest common factor of y and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -h**3 - 318275*h**2 - 25324584768*h + 25324903044 = 0.\nAnswer: -159138, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f**(-3\/8)*f*f)\/f)*f)\/(f*f\/(f\/f**(-1))))\/(f**(1\/4))**17 assuming f is positive.\nAnswer: f**(-23\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/3*6\/1. Let d = -28 - -14. Let w be (d\/(-6))\/(12\/36). Solve -3*m = w + k for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 161, 131, 101?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*o - 822*o - 445*o - 16152 = 246*o for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006484557746 to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88, -142, -200, -262?\nAnswer: -328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-124)\/(-682)*11*1\/4*30.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m**3\/4 + 5203*m**2\/4 - 110752*m - 44509 = 0. Calculate m.\nAnswer: -2\/5, 94, 947","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*a - 2*c = -99249, 4*a = 2*c + 79392. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(sqrt(5) - (sqrt(45) - sqrt(5))) + sqrt(18)*-5)**2.\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 7330517 to the nearest ten thousand.\nAnswer: 7330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -881271 equal to -881265?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of 7*a**4\/12 + 564*a. Let x(l) = 41*l. Calculate x(y(s)).\nAnswer: 287*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-355)\/(-2) + 4\/8. Suppose -2*k + 4*k = c. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/8*2 - -1. Suppose -4*s - 48 = -s. Let y = -17 - s. Do t and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 43004 - 175?\nAnswer: 42607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1116 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ctpzcntntn. What is prob of picking 2 t and 2 c?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of 479*w**4\/8 - 1669*w**3\/6 + 2611*w**2. Differentiate l(z) with respect to z.\nAnswer: 1437","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-169)\/(-78) - 6\/3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 272*k + 3997. Give a(-24).\nAnswer: -2531","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = s - 15325, -2*s = s - 3*i - 45915. Round s to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388808 is divided by 90.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -271575?\nAnswer: -271572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 4291.\nAnswer: 12873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -13*((-3)\/(-13))\/(-1 + 0). Solve -4*y + 5*a - 7 = 0, -2*y - c*a + 2*a = -7 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3884 and 688868.\nAnswer: 668890828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 35*t**2 - 2*t - 2. Let f(n) = -34*n**2 + n + 1. What is 3*b(r) + 4*f(r)?\nAnswer: -31*r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -27 + -5a7e?\nAnswer: -5aa6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-25)*5*1\/10?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 245, 448, 651, 854, 1057, 1260?\n\"Answer: 203*o + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -5*m**2\/2 - 13*m - 5\/2 = 0.\nAnswer: -5, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, c: 1, e: 4, y: 2, n: 3}. Give prob of picking 2 e, 1 n, and 1 p.\nAnswer: 27\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.9999963 + 5. What is o rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172238.2515 milliseconds in weeks?\nAnswer: 0.00028478546875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 4 (b) 2\/9 (c) -2\/243\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 9, -4, -3, 0 in descending order.\nAnswer: 9, 0, -3, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 101*d**2 + 5. Let z(b) = -1060*b**2 - 53. Give -53*f(a) - 5*z(a).\nAnswer: -53*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -7) + (-5 - (-2 + -2 - -12))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + -1 - (8 - -6 - (14 + 5 + -8))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -16963947 divided by -429\nAnswer: 39543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47718?\nAnswer: 2, 3, 11, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 1 + 1. Suppose -3*h = -4*h + 5, -w*q + 4*h + 40 = 0. Does 15 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.13, -8, 0 in decreasing order.\nAnswer: 0, -0.13, -0.4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mz when two letters picked without replacement from {a: 1, g: 4, k: 2, m: 9, y: 2, z: 2}?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5502, 5508, 5524, 5556, 5610, 5692?\nAnswer: 5808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -96 - 160178.\nAnswer: -160274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 22\/(-55) - 0\/1. Which is the fourth biggest value? (a) i (b) -4\/9 (c) 10 (d) 0.6 (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/42 and 7\/48.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1138, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a**4 + 21*a**3 - 3*a**2 - 65*a - 42 = 0. Calculate a.\nAnswer: -21, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + 0. Suppose 5*w = x*m + 20 - 0, -5*w + m + 24 = 0. Let n be (-2)\/14*21*(4 + -1). Put n, w, 0 in decreasing order.\nAnswer: w, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 12*h = -138816. Suppose -7*z - h = -11*z. Suppose -q + z = -s + 2*q, -s + 4*q = 4334. What is s rounded to the nearest one hundred?\nAnswer: -4400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 89.9 - 90. Which is greater: h or -0.43?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1168 divided by -1?\nAnswer: 1168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 12:41 PM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(119)*-4 + (sqrt(119) - ((sqrt(119) + sqrt(119)*2 + sqrt(119))*-5 + sqrt(119))))\/(5*(sqrt(7) + sqrt(70)\/(sqrt(40)\/sqrt(4)))) + 0.\nAnswer: 14*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f**2 - 706*f - 6547. Give o(-9).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.02 + 0.68. Let z = d - 2.7. Which is the nearest to z? (a) 0 (b) 1 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.51962 rounded to 2 dps?\nAnswer: 2.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -54*n. Let b be a(-3). Suppose -5*k + 422 = b. Is k\/(2*(0 - -1)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17724754 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 - -82. What are the prime factors of z?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = j + 17, 0 = -5*n + 5*j + 28 + 7. Suppose 6*c - n = c. Suppose 0 = c*v - 28 - 90. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0622 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4768482 divided by 8\nAnswer: -2384241\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5399548 (base 11) in base 5?\nAnswer: 4412012423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 581976, 1165330, 1748684, 2332038?\nAnswer: 2915392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*73 + (18 - 18). Let h = l - 76. Let r be (1\/h + 0)*0*-1. Solve 4 = k - r for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 14969 (b) 0.1 (c) -8 (d) -1\/7 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 108498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 58 = 5*n - 296, c - 98 = 5*n. Calculate the remainder when c is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 9 - 6 + 4*c)*(-1 + 2 + 1) as w + t*c and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2825492 a multiple of 764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-1 - (-2 + (1 - -1)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -48565*g + 3205281. Calculate u(66).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 4*q**2 - 8*q + 15. Let a be j(5). Suppose 2*i + m = -2*m + 5083, -3*i + 3*m + 7632 = a. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15*1.06\nAnswer: 15.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1738997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13671 or -12131?\nAnswer: -12131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 13 + 4 - 11 - 7 - 4*s**3.\nAnswer: -4*s**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -5*x**2\/2 - 6*x - 5. Let z be d(-4). Solve -4*v = 2*l + z, v + 2*l + 8 = 3*l for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**3 - 4*v**2 - 13*v + 21. Let x be i(3). Solve x = -19*t + 53 + 42 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-5) + (2 - (-1 - 1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1675 and 25460?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (16 + 928\/(-64))*(-1)\/(-17). Let n = 1 - 0.7. Which is greater: n or m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -11001?\nAnswer: -10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -0.19, 15\/2, -3 in descending order.\nAnswer: 8, 15\/2, -0.19, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3397*v - 1722*v = -26800 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 5*z - 6. Let q be n(6). Let j be q - (-1)\/2*2. Is (127 - (0 + 0))*j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2653 + 2671 - (0 - 31)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5792 is divided by 1904?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**3 - 2*j**2 + 11*j - 4. Let p be s(-5). Let o = p + -53. Let c = 19 + -8. Calculate the greatest common factor of c and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -4019*d**5\/60 + 607*d**4\/2 - 117*d**2 + 5*d - 1. Find the second derivative of a(t) wrt t.\nAnswer: -8038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-7)\/(-4))\/(1\/(-4)). Let n be -3 - (4 + 46\/g). Let d be (68\/16 + -4)*2. Which is the closest to -0.1? (a) d (b) n (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22559034 a multiple of 730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81757289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**3 + 2*u**3 + 0*u**3 + 5*u**3.\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a day in minutes?\nAnswer: 3960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gugugguuguuuuuuu. What is prob of picking 1 g and 1 u?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y\/y**(3\/2))*y)\/y)\/y)**47\/(y**(-5)*y**(2\/19)*y) assuming y is positive.\nAnswer: y**(1041\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -523 = -10*t - 583. Sort -11, t, 5 in descending order.\nAnswer: 5, t, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 77, 4, 3 in ascending order.\nAnswer: -5, -1, 3, 4, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 2 - 4)*(114 + 3*d + 0*d - 108) + (1 + 8 - 4)*(-18*d + 0*d + 4*d) as n + l*d and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -409 - -413. What is the greatest common divisor of i and 3008?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j + 16. Let w be o(7). Suppose -2 = -5*q + w. Which is the nearest to -2? (a) 0.2 (b) q (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2. Let w(t) = 55*t - 237. Give w(d(j)).\nAnswer: 55*j**2 - 237","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8090736 less than 344845?\nAnswer: 8435581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 m when four letters picked without replacement from {e: 8, f: 2, m: 2, h: 3}.\nAnswer: 16\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -30736034 + 16.9\nAnswer: -30736017.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54713625 to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 1 (b) -4 (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*o + 72 = 47*o. Sort o, 4, -4, -3 in descending order.\nAnswer: o, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 2*a = 0. Let i(f) = a - 3*f + 2*f + 13. What is the units digit of i(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000036539398 to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 g, and 1 e when three letters picked without replacement from bzehehgvg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 100081725 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/15*(-40)\/(-6). Let y = 17 - 12. Solve 0 = -4*r - y*h + c, -3*h - h = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 149, 253, 357, 461, 565?\nAnswer: 669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 112 - 1464*i**4 + 149 + 2295*i**4 + 2285 + 4392*i**4 wrt i.\nAnswer: 20892*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1351 and 242670673.\nAnswer: 1351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*l - 0. Let m be l\/(-3)*(-50 - -5). Let y be (1 + -16)\/(m\/(-10)). Solve -3*i + 5*i = -y for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 4*x + x - 5130593, -25 = 5*x. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 70 + (3 - 14) - 14. Calculate the highest common divisor of f and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + a = 13*a - 140 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -207290475 by 1197.\nAnswer: -173175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 3*h - 1. Let k(y) = 5 - 2*y**2 - 3*y - 3 - y + 8*y. Suppose -9 = 3*a - 12, -2*t + 11 = -5*a. What is t*j(o) + 5*k(o)?\nAnswer: -2*o**2 - 4*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -3. Let q(p) = 4 + l - 9*p + 3*p - 4. Calculate q(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3896969 is divided by 70.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1202 a factor of 6939878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a. Suppose 0 = 4*m - 5*z - 99, -4*m = -0*m - z - 119. Suppose -27*f + m*f = 80. Let c(j) = 16*j - 15*j + f*j. Give c(d(k)).\nAnswer: 21*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 247 and 1182389.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 8*z**2 + 3*z + 15. Let g be a(-8). Let d(p) = 3*p**2 + 7*p - 27. What is the hundreds digit of d(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23248 divided by 7\nAnswer: -23248\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14638, 29367, 44096?\nAnswer: 58825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 7*y**2 - 36*y + 140. Give o(9).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 272099002 divided by -19435643\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -11 + (-38 + 70 - 34)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 2*j - 3*j + 7, -3 = -3*y + 3*j. Let c = 0.1 - -4.9. What is the second biggest value in c, 0, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26444463*o + 26444500*o = 1961 for o.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxvvvxv. What is prob of sequence vvxx?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.051554116 rounded to three decimal places?\nAnswer: -0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 6*r + 6. Suppose -3*l + 4 = -2*l. Let b = l + -10. Let k be p(b). Is k at most as big as -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122039768 rounded to the nearest one million?\nAnswer: 122000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*2*(-384)\/6912.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 4*b + 28, -2*r + 3*b = -7 + 16 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w + 10. Let i(r) = -3*r - 10. Let h(g) = 3*i(g) + 2*t(g). Calculate the remainder when h(-13) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - 24*p**2 - 103*p + 415. Calculate c(-16).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y**3 - 4*y**2 - 4*y + 5. Let u(o) = -2*o**3 - 3*o**2 - 3*o + 4. Let d = -26 - -29. Calculate d*m(b) - 4*u(b).\nAnswer: -b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 4*y**5\/9 - 6*y**4 + 158*y**3\/9 - 190*y**2\/9 + 34*y\/3 - 20\/9 = 0.\nAnswer: 1\/2, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 4:31 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -4 + 16*m**2 - 12 + 0. Let b(r) = -5*r**2 + 5. Let q(l) = -20*b(l) - 6*z(l). What is the derivative of q(d) wrt d?\nAnswer: 8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 205.00842 and 131.2.\nAnswer: 336.20842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26 in -6, -1915, -3, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((3 + sqrt(171) + sqrt(171) + -2 + sqrt(171))*1*4*-6)**2*-3.\nAnswer: -13305600 - 155520*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*s + 42*s = -740. Calculate the remainder when 219 is divided by s.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22721 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5835766087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73622.37km to millimeters.\nAnswer: 73622370000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 545498 is divided by 302.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 25, 22, -3, -62, -167?\n\"Answer: -2*y**3 + y**2 + 8*y + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8648041 rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + t + 0*t)*(3 + 1 - 2)*(2 + 1 - 2).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212.2 rounded to the nearest ten?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -356 - -356.71. Let q = l - 0.51. What is the nearest to -1 in 4, -0.3, -5, q?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*t**3 + 9*t**2 + 130952*t + 7553918?\nAnswer: 6*t**2 + 18*t + 130952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 6 = -1. Let p be (-12)\/c*4\/12. Sort -4, 1\/4, p.\nAnswer: -4, 1\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(90)\/sqrt(5) + ((2 + sqrt(18) + sqrt(18))**2 - sqrt(2)).\nAnswer: 26*sqrt(2) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1019*z - 1022*z - 4*d = d + 42, 3*z - 5*d + 12 = 0 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/220 and -52\/231?\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1070, 0.3, 0.4, 5, 2 in increasing order.\nAnswer: 0.3, 0.4, 2, 5, 1070","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0354 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1147*s - 1236*s + 1340*s + 2)*(-2*s + 0*s + s + (-2 + 0 + 0)*(-2*s + 0*s + 3*s)).\nAnswer: -3753*s**2 - 6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*m = -400 - 825. Suppose -11 = -v + 2. Calculate the remainder when m is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -3*k + q + 1182, 4*q - 1979 = -5*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -4*l**3 + 2*l**2 - l. Let n be m(1). Let o(v) = v**2. Let k(r) = -r**3 + 2*r**2 - 2. Calculate n*o(g) + k(g).\nAnswer: -g**3 - g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i - 27. Let v be n(-5). Let z = 57 + v. Suppose 0*l = l + 2*o - 25, 2*l = -3*o + z. Calculate the lowest common multiple of l and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.09 in -0.2, -1, -0.209, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3*s - 11274 = 0, -7*s + 11*s = 4*i - 11276. Suppose 9663 - i = 7*r. What are the prime factors of r?\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 5*b = 0. Let u = 5296 - 5270. Suppose b = -4*g + u + 66. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 20 - 6816?\nAnswer: -6796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 4:29 AM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79335616?\nAnswer: 2, 1239619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2200304330 - 10?\nAnswer: -2200304340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i + 60 = 10*i. Suppose 0 = 2*w - 2*s - 852, 0 = s - 335 + 341. What is the highest common factor of i and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -85, -84, -83, -82, -81, -80?\n\"Answer: k - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9838690 to the power of 1\/4, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -29759 to the nearest 1000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, l: 2, t: 1, u: 2, y: 1}. Give prob of sequence llxy.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and (1 + -4)\/((-6)\/32)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 4:06 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5.1 in 3, -5, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 2)*(0 - 3 - 2)*(2*b**4 + 3*b**2 - 3*b**2) + b**4 + 0 + 0 + (-2*b**4 + b**2 - b**2)*(6 - 4 - 3).\nAnswer: 33*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -168 - -167. Let o(u) = 10*u - 3 + 4 + 0. Calculate o(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 13*z + 6. Determine o(10).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2 - 7 + 3 - 17*l**2 wrt l.\nAnswer: -34*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4440 (base 5) in base 3?\nAnswer: 211222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 - 3.1. Let i = -3.02 - q. Let v = i - 0.28. What is the closest to 1\/2 in v, -0.2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*d - 6*d - 30*d)*(39 + 3*d - 47 + 51).\nAnswer: -69*d**2 - 989*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 8. Let v(p) = 29*p**3 - 2*p**2 + 1. Let d be v(1). What is the units digit of 46\/14 - t\/d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4)\/v)\/(v*v\/v**7)*v**0\/(v**(-1\/2)*v*v)*(v\/v**(-7\/5)*v\/(v\/(v**2*v)))\/(v**(-1))**(21\/8) assuming v is positive.\nAnswer: v**(261\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jba when three letters picked without replacement from {y: 4, i: 1, a: 1, j: 1, b: 8}.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 209 + -213 + 2 + 1 + -1 - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 - 9*a + 17. Let s be u(-11). Let h be (4 - -1)\/(s - -6). Suppose 0 = -h*v + 2*c + 67, -47 = -4*v - c + 17. Is v a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d + 21*d = 3*d + 165. Determine f so that 1\/2 + 4*f**4 + f**3 + 5\/4*f - 9\/4*f**d - 9\/2*f**2 = 0.\nAnswer: -1, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -4*d**4 - 2662*d**3 - 17184*d**2 - 32978*d - 18452 = 0.\nAnswer: -659, -7\/2, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 4:15 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 2*t**2 + t + 3. Is 28 a factor of l(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 3:06 AM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 + -6. Suppose -5*b = -b - t. Let v(i) = i**3 + 2*i + 10*i - 5*i + 0*i**2 - 6*i**2 - b. Determine v(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3940302101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 3 (b) -3811\/128 (c) -4 (d) -0.4 (e) 0.1 (f) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -z - 2*z + z + (z + z - 3*z)*(-2 - 3 + 3 - 3 + 5 - 4 - 2 - 1 + 1 + (3 - 5 + 0)*(0 + 1 - 2))*(4 + 1 + 4) as r*z + q and give r.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6*962\nAnswer: 5772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -295757*h**2 + 412811*h wrt h.\nAnswer: -591514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 6739?\nAnswer: 6739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*l + 1008 - 100*l - 1008 - 6*l.\nAnswer: -128*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 237 divide 856518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 428 + 335 + 3*p**3 + 59 + 257.\nAnswer: 3*p**3 + 1079","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 59553873092 - 49965693151985\/839. Let i = q + -7595. Is i equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -0.4 (c) 14 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7209978.\nAnswer: 2, 3, 131, 9173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, d: 1, r: 3, q: 4, y: 2, i: 4}. What is prob of picking 2 y and 1 i?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xsy when three letters picked without replacement from fhsyfhshysfhsyxf.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: b\"What is the oth term of 80675, 161636, 242597, 323558, 404519, 485480?\n\"Answer: 80961*o - 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 - 88*b + 171. Let p be x(42). Suppose 0 = -5*z - 25, p*z + 67 + 518 = 5*v. Calculate the greatest common factor of 418 and v.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -742\/56925 - -126487699\/16622100. Let z = d + -164\/73. Calculate the common denominator of z and ((-428)\/20)\/((-18)\/(-5)).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 12*i**2 + 2*i - 17. Let m be z(12). Suppose -10*q + m*q = 0. Suppose -2*d + 2*s = -27 - 41, 4*d + 3*s - 122 = q. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1504640517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(104) - -2*sqrt(104))*-4)\/(-5*sqrt(32)))**2*-5*1.\nAnswer: -1404\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 8:26 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9780*a**5 + a**4 + 3548382*a**2?\nAnswer: 586800*a**2 + 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = -8*p. Suppose 9*f - 20*f + 16588 = p. What are the prime factors of f?\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -6*i + 2. Let c(j) = 49*j**2 - 37*j**2 - 846 + 1688 - 841. Determine g(c(m)).\nAnswer: -72*m**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7.992652 centuries?\nAnswer: 799.2652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-312)\/(-13) + (2 - -4). Let f be 146\/i + (-13)\/(195\/(-2)). Let l(z) = -z + 10. Let t be l(8). Solve 3*o + 4*x = 13, -2*x + t = f*o - 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2809951 and 1.\nAnswer: 2809951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**2 + x + 2. Let t be g(2). Suppose 2*y + 0 = 8. Let b be (-2)\/y*2 - -5. Solve -2*d = b - t for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**4 - 4*x**4 + 3*x**4)*(x + 4 - 4) - 3*x**5 - 20 + 20 - 2*x**5 + 3*x**5 + 0*x**5 + (-x**5 + 0*x**2 + 0*x**2)*(1 + 0 - 3) - x**5 + x**5 + 2*x**5.\nAnswer: 4*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one halves of a day in hours?\nAnswer: 732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 5312050?\nAnswer: 5312052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.44769 to three decimal places.\nAnswer: 0.448","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-498)\/(-3486))\/((-1)\/6)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**3 + 7*s**3 - 2*s**3 - 3*s**3.\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 31*a - 1446 + 1716 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 3.02788?\nAnswer: -0.302788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -25*l**2 + 23*l - 15. Let i(b) = -3*b**2 + 3*b - 2. Let j(o) = 51*i(o) - 6*x(o). Factor j(t).\nAnswer: -3*(t - 4)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sjd when three letters picked without replacement from szjdeeesrjdee?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -3*z**4\/5 - 303*z**3 + 96282*z**2\/5 + 100812*z\/5 - 195576\/5 = 0.\nAnswer: -562, -2, 1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1881*c - 306*c - 90116 = 1240*c + 39*c for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - w**2. Let a(o) = 5*o**3 + 3*o**2 + 6. Let k(v) = a(v) + 3*i(v). Differentiate k(m) wrt m.\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r - 2*r + 0*r**3 + 2*r**3 + 613*r**3 + 23*r**3 + 321*r**3 + (-r + 0*r + 3*r)*(4*r - 4*r + r**2) to o*r**3 + q*r + y*r**2 + s and give o.\nAnswer: 961","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -581 = 2*b + 5*h - 617, -2*b + 2 + 15 = h + 5 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j + 10 - 43 = 0. Solve -j*k + 3 = -4*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85922074.\nAnswer: 2, 7, 1583, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10200 - -222010221?\nAnswer: 222021121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -7*o**2. Let x(p) be the first derivative of -p**2 + 4. What is m(x(h))?\nAnswer: -28*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2624*f + 2624*f + 152*f**2 in the form l*f + y + p*f**2 and give p.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -4*o + 215. Let h be k(53). Solve 4*g - 6 - 11 = w, w + g = h for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9796.\nAnswer: 2, 31, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -895 - -615. Let g be -3 - c\/5*1\/(-2). Which is greater: -30 or g?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and 0.35.\nAnswer: -4.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 315314 + -2?\nAnswer: 315312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 52 and 195?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 148 and 204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 171 and 304.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 6. Let o be 8\/64*4*4. What is the third derivative of a**2 - 34*a**5 + 12*a**2 + 5*a**5 + b*a**o wrt a?\nAnswer: -1740*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -7 + -1 - (-4 + -2 + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 274287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of i**3 - i**2\/2 - 15*i. Let a(r) = 2*r**2 + 22*r + 54. Let x be a(-7). Give c(x).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2*o**3 - 2*o**4 + 0*o**3 + 2*o - 2*o - 4*o as t*o + i*o**3 + c + h*o**4 + s*o**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, e: 1, c: 2, a: 1, q: 2}. Give prob of sequence aqc.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 + -77 - ((-3 - -12) + -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 219194, 438333, 657476, 876623, 1095774, 1314929?\n\"Answer: 2*g**2 + 219133*g + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*a - 288 = 0. Let x = a - -264. Calculate the greatest common divisor of 28 and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 - 5*n + 4.\nAnswer: (n - 4)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*((-7)\/(-2))\/((-5)\/10). Let t be (18\/(-3) + q)\/(1\/(-6)). Let k(y) be the first derivative of y**3\/3 + 5*y**2 + 5*y + 4. Determine k(t).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 10 = 3*v, 3*t + 15 = 5*v - 23. Let o = -3 - t. Solve h + 1 = -3*k - o, -5*h = 10 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -733 and -7.\nAnswer: -740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 4\/7, -2, -105\/2, -3\/4 in descending order.\nAnswer: 4\/7, -1\/3, -3\/4, -2, -105\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 2 - -8 - 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264464*x + 264472*x - 20*z + 160 = 0, -2*x + 16 = 2*z for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4061, -8089, -12117, -16145, -20173?\nAnswer: -24201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42 - 2) + (-7 - (-17 + 39 - 20))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 3*p + 9. What is o(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k**5 - k**4*q + 34*k**4 - 3*k**3 + k**2*q - 33*k + q + 6 wrt k.\nAnswer: -60*k**2 - 24*k*q + 816*k - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 363721520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 0. Let k(y) = -y + 5. Let z be k(5). Let l(a) = z - 1 + 2*a + b. Let o(m) = -2*m**2. What is l(o(i))?\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 3*d + 13, 1 = -3*g - 4*d + 3*d. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ntn when three letters picked without replacement from ztnsenu.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 272\/27. Which is smaller: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7741431?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21774 and 58064.\nAnswer: 174192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 692.094942 microseconds to weeks.\nAnswer: 0.000000001144336875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o = 2*q + 4*o + 30, -908*o + 903*o = -4*q - 60 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59264 is divided by 44?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5838346729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-1 + 2) - (-945 - -1007).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.37 - -0.03. Let n = -10.75 - -14.75. Which is the closest to 3? (a) p (b) n (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*t - 66*t = -70 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/18 - (5 - 235\/45)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + 0 + sqrt(704))*5 + (sqrt(704) - sqrt(704)*2)**2 + -4 + 2.\nAnswer: 80*sqrt(11) + 702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1266693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7644 and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/9 (b) -450 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 5:09 PM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**4 - 7*b**4 + 11*b**4 + 3*b - b**3 + (b + 2*b - b)*(-b**3 - 14 + 14).\nAnswer: b**4 - b**3 + 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (98*f**2 + 58*f**2 + 246*f**2)*(4*f - 10*f + 7*f - 2) in the form z + q*f**2 + y*f + r*f**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -752 times -48.7\nAnswer: 36622.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - -2. Let o = y + -3. Suppose -o*n + 4 = 2*n. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 16*x**2 + 10. What is the remainder when 36 is divided by c(-16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*u + 2*k + 9, -5*u + 3*k = -26. Let h = 33 - 13. Let i be (h\/(-5))\/(u\/6). Which is smaller: -7 or i?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.039523885 rounded to 1 dp?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k + 19*k + 7*k + 11*k in the form w*k + i and give w.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14719172 and 28?\nAnswer: 103034204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/11 and 2 + (-129)\/(-15) + 2?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10561 at least -441?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -552 + 807. Let o = k - 257. Let l = -18.07 - -18. Which is the second smallest value? (a) l (b) o (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(18\/(-1))*(58140\/19)\/(-30)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2227*r = 2276*r - 386071. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4995 and 3764750.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4979411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4991436 divided by -1636\nAnswer: 3051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1089250 to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2*sqrt(99) + sqrt(99) - (sqrt(99) + 0 + 4 - sqrt(99)))**2.\nAnswer: -126*sqrt(11) + 940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 121149774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + -9 + 3\/1. Let y = t - -3. Let p(a) = -a. Determine p(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/30 and 25\/324?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v*(v**(-2\/5)\/v)\/v*v)))**(-31)*(v**(1\/3))**(1\/3) assuming v is positive.\nAnswer: v**(563\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - m - 1. Let u(p) = 86*p**3 + 8*p**2 - 5*p - 3. Let q(b) = -5*n(b) + u(b). What is the third derivative of q(x) wrt x?\nAnswer: 516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34.4433 - -465453\nAnswer: 465487.4433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-150)\/(-100) - (-26)\/4. Suppose 19*n - w*n = 22. Factor -16\/7*y**n + 18\/7*y + 0 - 2\/7*y**3.\nAnswer: -2*y*(y - 1)*(y + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2970770?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-9)\/12)\/1)\/((638\/528)\/29).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-13) - 9\/3276*217?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 5*x**3 + 5*x**2 + 12*x + 21. What is o(-2)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 687.7617l in millilitres?\nAnswer: 687761.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 12. Suppose -5*v + 20 = k*o, v - 1 = 2*o - 3. Suppose -4\/3*i**3 + 1\/3 - 2*i + 3*i**o = 0. What is i?\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -183, -477, -963, -1641?\n\"Answer: -96*n**2 - 6*n - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in -0.2, 1\/25, 53, -5?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 0*g - 5*g - 23390 = 0, 0 = -g. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -3444, -0.1, 2.3, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39335\/3 + -26845\/2. Let n = -308 - o. Calculate the common denominator of n and -15\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -176 + 175.9999839. What is t rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jraa. What is prob of sequence araj?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 238606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -120 + 1202310?\nAnswer: 1202130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/5))**(-1\/2)\/((m**(-6)*m)\/m**(-3\/5)) assuming m is positive.\nAnswer: m**(21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.36 - -0.36. What is the second smallest value in 0.3, o, -0.4, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -210 divided by 6\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 139990769.1 milliseconds?\nAnswer: 0.23146621875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 640 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40292161?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -85, 1, -67, 0.1, -1, -2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -76 + 11\/(55\/40). Let b = q + 73. Let c(v) = 3*v + 1. Let y(d) = 4*d + 2. Give b*y(l) - 7*c(l).\nAnswer: -l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -146 + 276. Let w be (150\/40)\/((-51)\/(-68)). What is the highest common divisor of b and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 2)*(0*w**2 - 3*w**2 + 2*w**2) - 20*w**2 - 5*w - 9*w + 28*w**2.\nAnswer: 4*w**2 - 14*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c + -305?\nAnswer: -2d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 271052038.483 and 81.\nAnswer: 271052119.483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 33*s**2 + 2. Let t(p) = 2*p + 61477. Determine t(x(w)).\nAnswer: 66*w**2 + 61481","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 16) to base 6\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 4*q**2 + q - 4. Give r(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**5\/5 + 2*g**4\/5 + 98*g**3\/5 + 358*g**2\/5 + 96*g + 216\/5 = 0?\nAnswer: -3, -2, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -2, 7, 0.78, 5, 0.013?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 35*f - 14 + 18 + 59*f.\nAnswer: 24*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 80*o - 8637. Let l be n(108). Let i(c) = 2*c + 5. Let m be i(5). Solve 3*u - 5*u + m = l*s, -12 = -4*s for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3037, 6067, 9097, 12127, 15157?\nAnswer: 18187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of r**2 - 16. Let c(n) = 6*n - 296 + 296 + n**2. Let l(b) = -b**2 + 5*b. Let v(a) = 5*c(a) - 6*l(a). What is u(v(k))?\nAnswer: 22*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mfeswej. What is prob of sequence se?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 3*v**5 - 90*v**4 + 597*v**3 + 306*v**2 - 4704*v - 4320 = 0.\nAnswer: -2, -1, 4, 9, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1219492 and 20?\nAnswer: 6097460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/10 of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55566501.\nAnswer: 3, 139, 133253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 0, -11, -36, -81, -152, -255, -396?\n\"Answer: -d**3 - d**2 - d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2040 + 3205. Let y be 4*-1*1*1\/(-1). Suppose -y*l + 0*f - 4*f = -1548, -3*l + n = f. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {a: 3, j: 5}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**5 + 5 - 5 + (-1 + 1 + 2*n**5)*(1 - 7 + 3) - 5*n + 5*n + n**5.\nAnswer: -6*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 plus 0.02827?\nAnswer: 616.02827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135*w = 623*w - 1947608. What is the remainder when w is divided by 363?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002521 to 5 decimal places.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -628969 - -1257967\/2. Suppose -1\/4*p**2 + n*p - 841\/4 = 0. What is p?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -3*b + 2\/3*b**3 - 39\/2*b**2 + 0. List the prime factors of w(16).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1880980 divided by -188098?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (3 - 15) + 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vlvzivzziivvvvlvvvi. What is prob of sequence il?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -301*h + 1 + 157*h - 7 + 4*h**2 + 150*h. Is v(5) a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**2 - 39*p**2 + 3346*p**3 + 37*p**2 + 6599*p**3.\nAnswer: 9945*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 307*i - 603*i + 47*i**2 + 296*i.\nAnswer: 47*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -13) + 6 - 5 - 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003714169 rounded to six decimal places?\nAnswer: 0.000371","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74054628, 148109252, 222163876, 296218500?\nAnswer: 370273124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -5*x**3 - 2*x**2 - x. Let n be u(-1). Suppose a + 2 = 0, p - 5 = 3*a - a. Let r = p + n. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 3 - 1. Let b(h) = -h**2 - 6*h - 6. Let v be b(p). Solve -3*u = v*u + 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k - 20*x + 18*x + 39 = 3*k, 5*k + 16*x - 375 = -8*x for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u - 8. Let h be y(0). Let g(r) be the first derivative of 7*r**3\/3 + 14. Let s(m) = 11*m**2. Determine h*g(i) + 5*s(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 13*x**2 - 7*x - 11. Let d(o) = -7*o**2 + 3*o + 5. Let r(b) = 9*d(b) + 4*q(b). Let f be r(1). Let w = f - -17. Solve 0 = w*v - 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.6703709 - 0.630372. Let h = 0.04 - o. Round h to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101 - -12213021202?\nAnswer: 12213021303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11213 + -121?\nAnswer: -11334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1761200 to the nearest 100000.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 875 is divided by 429.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 - 0.1. Let u be (-1)\/(-35) - 12\/(-30). Let f = -5\/6 + 1\/2. What is the closest to -0.1 in u, g, f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1673981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 46\/13*x + 264\/13 + 2\/13*x**2.\nAnswer: 2*(x + 11)*(x + 12)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 - 27.78. Let h = 0.21 - w. Let j(i) = -i**3 - 4*i**2 - 2*i + 3. Let m be j(-3). Which is the nearest to m? (a) h (b) 0.2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -1054.\nAnswer: -105.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -28 + 0*f + 1\/3*f**3 + 0*f**2. Let x(p) = -45*p. Calculate o(x(m)).\nAnswer: 2025*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -114 (base 13) in base 14?\nAnswer: -d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (20*13\/130)\/((-3)\/(-2) + -1). Solve 4*a + 4*q = 20, -a + z*a - 15 = -q for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42391 divided by 83.\nAnswer: 42391\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -32*d**2. Let l(c) = -3*c. Let w(m) be the second derivative of m**3\/3 + 11*m - 1. Let x(v) = 3*l(v) + 5*w(v). Determine x(s(h)).\nAnswer: -32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -54 + 57. Suppose -7 = -i*f + 53. Let g be (-4 + 7)\/(15\/f). Solve -k - 3*k = g for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 578371 is divided by 207?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.09838 - -0.00162. Sort w, -21.5, 0.4, 0.3 in descending order.\nAnswer: 0.4, 0.3, w, -21.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -61, -1, 2\/11, -2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2588822639.\nAnswer: 13, 199140203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1024\/5 + 1\/5*o**2 + 64\/5*o = 0. Calculate o.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1300872 (base 10) to base 16.\nAnswer: 13d988","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 4.7. Let o = i - -1. Which is the biggest value? (a) 0.2 (b) o (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 9*g**2 + g - 10. Calculate c(-9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -144 * 98585\nAnswer: -14196240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49.8 - 50. Suppose -b = 2*b. Let a be 6\/15*(3 - b)\/30. What is the second biggest value in a, r, -2\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -345232850.00000022 - -345232871. Let g = a - 21. What is g rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28341*p + 28341*p + 4*p**2.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 12*m + 19. Let y(v) = -3*v - 2*v - 2*v - 9 + v. Let h be y(m). Solve 0 = -4*w - 2*f - 0 + 24, 24 = h*w + 3*f for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 246 (base 9) to base 7\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 7:04 PM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1940779852.6 - -4.8.\nAnswer: -1940779847.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c**2 + 41*c + 54. Let u be f(-13). What is the greatest common factor of 8 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 3) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7195, 28334, 63565, 112888?\nAnswer: 176303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -4815, 1, 2\/5, -1 in ascending order.\nAnswer: -4815, -1, -0.3, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + sqrt(200) + 0 + -3)**2.\nAnswer: -120*sqrt(2) + 809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*y**2 + 2*y**2 + y**3 + 0*y**2 + 0*y**2 - 7*y**3 + 5*y to the form x + b*y + c*y**3 + g*y**2 and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 58 and 3132.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2667480143656 less than 36?\nAnswer: -2667480143620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -703940*d**2 + 32*d.\nAnswer: -4*d*(175985*d - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -353*f**2 + 187*f**2 - 274*f**2 + (-f - f + 6*f)*(4*f + 4*f - 6*f).\nAnswer: -432*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 20911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(17)*1*6)**2 + ((3 + sqrt(34)\/sqrt(2))*-3)**2 - (3 + 3 + (-1 + (sqrt(272) + 5 + sqrt(17) - sqrt(17)))**2).\nAnswer: 82*sqrt(17) + 577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 240163056 divided by 120081528\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3028.94718 rounded to 1 dp?\nAnswer: 3028.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 4 = -0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -7*m + 299. Let k be p(42). What is the hundreds digit of -4 + 4 + k + 523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 + (4 - (-168)\/(-20)). Let r(j) be the first derivative of -q*j**5 - 3\/4*j**4 - 3 + 3\/2*j**2 + j**3 + 0*j. Solve r(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (0 + 2 + 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/((-44)\/(-360))*1230\/(-2050).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**16*((m**15\/m)\/m)\/m*m)\/(((m*m\/m**3*m*m*m)\/m)\/(m\/(m*(m\/(m**(-2\/15)\/m)*m)\/m))))**(2\/11) assuming m is positive.\nAnswer: m**(806\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 98*r**3 - 407*r**2 + 407*r**2 + (-39*r**2 + 3*r**2 + 17*r**2)*(0*r + 3*r - 5*r).\nAnswer: 136*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/10 and -15\/258536.\nAnswer: 1292680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -95 + -104. Let b = k - -199.9. Sort -2, b, -1.\nAnswer: -2, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -3*x + y + 13, 0 = -x - 3*y - 3. Let a = -141 + 142. Put a, -0.5, x in ascending order.\nAnswer: -0.5, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 962*l**3 + 3*l**2 - 3*l + 9. Let b(n) = 8659*n**3 + 28*n**2 - 28*n + 84. What is -3*b(m) + 28*g(m)?\nAnswer: 959*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -3*a - 324. Let w = -86 + a. Let z(h) = -h**2 - 3*h - 3. Calculate z(w).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 1 - 3 + 0)*(-13*m**3 + 8*m**3 + 17*m**3 + (4 - 3*m**2 - 4)*(-7*m + 2*m + 3*m)).\nAnswer: 36*m**4 - 36*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 8)\/(115010\/1715 + -67)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 3\/4*y**2 + 9\/8*y**3 + 0 + 0*y**4 - 3\/8*y**5 + 0*y = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 0, -2*c - 36 = -7*b + 3*b. What is the second derivative of -b*q + 6*q - 5*q**4 - 9*q wrt q?\nAnswer: -60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12021300 - -1213?\nAnswer: 12023113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 2*r - 24. Let v(t) = 2*t + 6. What is v(r)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1502817181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.00749 and -3.776728.\nAnswer: -3.769238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -26\/15, 0, -6.\nAnswer: -6, -26\/15, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -160 or -154?\nAnswer: -160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5*b = 45. Suppose o = b + 16. Is o a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.1203 - -0.0913. Let g = m - -4.47. What is g rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 i, and 1 x when four letters picked without replacement from xgixgiwigxxgwgiw.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-32)\/(-12)*(-4)\/(-16). What is the third biggest value in x, 1\/6, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 15) to base 8\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 t when three letters picked without replacement from tgqmqqqqccccctwc?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(7\/5)\/z*z\/z**(-1\/4)*z*z)\/(z**(-3\/4)*z*z**(3\/4)) assuming z is positive.\nAnswer: z**(53\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 0. Let z = -15 + 32. Suppose 0 = -5*p + n + z, 0 = -3*p + 6*p + 2*n - d. Solve 1 = p*a - 2*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -2) + 0 + -4 + 5 + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -293*j**5 - j**4 + 2*j**2 + 6?\nAnswer: -17580*j**2 - 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -1 + 9*l**2 - 9*l**4 + 7*l**5 + 11*l**3 + 1 - 34*l**3 - 2*l + 18*l**3 = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 53, 50, 25, -28, -115, -242?\nAnswer: -415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 2*f**2 + 3*f + 3. Let t be g(3). Let p be (-3 - -5) + (8 - 1). Suppose -h - t = 0, h + 17 = j - p. What are the prime factors of j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-2 - -11)) + (3625 - 3595) + 39.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/((-1)\/(-2))*(-796)\/8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8712000 rounded to the nearest one hundred thousand?\nAnswer: -8700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1.4*45.7\nAnswer: -63.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59941*f + r + 35 = -59936*f, -5*r = -2*f + 175 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 14*a + 11. Let k be d(-13). List the prime factors of 5\/k*-38 + -3.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 62 + -77. Is 23 a factor of 1960\/l*3\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of p**4\/42 - 10*p**3\/21 + 25*p**2\/7 - 13*p. Factor i(l).\nAnswer: 2*(l - 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + 2*sqrt(432)).\nAnswer: -144*sqrt(3) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 257 - 257.3. Which is the biggest value? (a) z (b) -4 (c) 0.2 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23b (base 12) in base 15?\nAnswer: -175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.6 - 1.5. Let s = -5.1 + 8.3. Let o = s - f. Which is smaller: 1\/3 or o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2308117201 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 16, 2, -0.1?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 347 = 3*c + 44. Suppose c = 8*o + 37. Solve 1 = w + 3*v, -2*v + 4 = -5*w - o for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/5)\/(o**(-2)\/o))\/((o**(-1)\/o)\/o)**26*((o\/o**(-6))\/(o**(-1\/4)\/o))\/(o**(1\/3))**(12\/11) assuming o is positive.\nAnswer: o**(19511\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -307460, 4, -3 in descending order.\nAnswer: 4, -3, -307460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7280?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -55*c - 2878 + 31*c + 26*c in the form o*c + m and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -y**4 - 36*y**3 - 211*y**2 - 216*y + 464 = 0.\nAnswer: -29, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - 7*m - 5. Let c be g(-5). Suppose 0 = 3*u - 0*u - n - 5, -11 = -3*u - c*n. Suppose u*h = 6 - 2. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 a factor of 36818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - 16. Suppose o*g - 5*u = -145, g + 0*g - 2*u = -31. Let s = -22 - g. Solve 2*r - q + 0*q = -12, -8 = s*r + 3*q for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 1 - (-8232162)\/(-3). Let s = 10123457 + x. Suppose 0 = 2*l - 7620598 - s. What is l rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((1*(5 + sqrt(55)\/(sqrt(22)\/sqrt(2))))**2 + 2*(3 + -3 + (1 + sqrt(5))**2)).\nAnswer: -210 - 70*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.13 to 0 dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 12 + 40. Suppose 70 = 47*o - 42*o. Let z = a - o. Solve v = -3*l + 8*l - z, -v - 4*l = -15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in 3\/4, 1\/4, -2\/7, 245?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(-2)*-1*2. Let f(v) = -v**3 - 125*v**2 - 203*v - 9790. Let x be f(-124). Solve 2*w - 7 = 3*o, -k*o - 5 = -4*w + x for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*g + 0*g - 6*g + (g + 2*g - 4*g)*(2 - 4 + 1) + 4*g - 4*g + 2*g + 2 - 2 + g)*(1 - 1 - 1).\nAnswer: 16*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - -0.832542.\nAnswer: -4.167458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22 - (6 - 13)) + (-10 + 19 + -2 - 2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25930 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 89*i**3 + 3*i**2 - i. Let s be m(1). Let o = -96 + s. Is ((-6)\/(-1) + o)*863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -1\/3 (c) -190\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(1 + 3 - 2)*(407743 - 407743 - 309*n).\nAnswer: 1236*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4945 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-3))\/(((-24)\/(-2))\/(-2)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3860 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*l + 63 = -47*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/2080 and 1\/1260.\nAnswer: 131040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4, 172, 438, 790, 1216, 1704?\n\"Answer: -2*r**3 + 61*r**2 - r - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20328 and 66.\nAnswer: 20328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2a17e (base 15) to base 4\nAnswer: -201002300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-44)\/10 - -1 - 2\/(-5). Let q be 6\/(45\/43 - 1). List the prime factors of q + 3 + -2 - f.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-2))\/(-2 + 5)*8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c**2 + 3*c**2 + 3*c**2)*(3*c**2 - 3*c**2 + 2*c**2).\nAnswer: 2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*f*q**2*t**3 + 20*f*q**2*t**2 - 2401*q**2*t**3 wrt f?\nAnswer: -9*q**2*t**3 + 20*q**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 2*q - 52, s = -9*q + 8*q + 8. Solve s*x - 15*x = 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 + 4*r**2 + 0*r**2)*(-1 - 3*r + 1) - 3*r**3 - r**3 - 2*r**3.\nAnswer: -9*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/21*(-53)\/(-1))\/(56*28\/196)?\nAnswer: 53\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 18 + 7)*(-3*w**2 - 2*w**2 + 3*w**2).\nAnswer: -32*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26.78505 - -0.21495. Which is greater: z or -261?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 25\/4 of a centimeter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-10)*(-7 - (-6)\/3). Let f(u) = 12*u**2 + 6*u + 8. Calculate the remainder when f(s) is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 846*k + 11*k**2 - 844*k + 14*k**2 - 24*k**2 + 1145 as y*k + h + s*k**2 and give h.\nAnswer: 1145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191*m - 56 - 513 = 195 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -4*q**2 - q + 3. Let j be m(-3). Round j to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - 67. Let g = -75 - z. What is the remainder when (2 - (-137)\/g) + 19\/38 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-4)*-3*1. Let l be z*(488\/(-12) + 4). 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: Let s = 2.99 + -4.99. What is the closest to -0.2 in s, -1\/7, -5\/4, -10?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*f**3 - 23*f**4 - 10*f**2 - f**5 + 75*f**4 - 32*f**4 - 28*f**4 - 8*f**2 = 0. Calculate f.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4.4, -5, 11, 1, -1\/1035?\nAnswer: -1\/1035","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2037424 is divided by 160.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 26180.\nAnswer: 52360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.74056485 plus 0.1?\nAnswer: 1.84056485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**3 - 33*y**2 - 130*y - 20. What is v(-10)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5b (base 15) to base 12.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82.72137 decades to millennia.\nAnswer: 0.8272137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 0. Let u(t) be the second derivative of -2*t**3 + 7*t. Is u(g) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14427917 - 28855834 + 14427917 + 2*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7130 and 0.1.\nAnswer: -713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 6330 = -2*d - 6*k, 2*d - 2*k - 6334 = 0. List the prime factors of d.\nAnswer: 2, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4246\/154 + -27)*77\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -7*v**4\/24 + 4*v**2. Let l(p) be the first derivative of 3*p**2\/2 + 13. Determine 6*c(x) + 15*l(x).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5 - 40\/12)*(-5 + 2). Put -1, 1, t, -4 in decreasing order.\nAnswer: 1, -1, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -9.0198 and 8 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 20*z - 48 = 0, 87 = -2*g + z + 78 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -z + 3*a + 35, 2*z + 7 = -3*a. Find the first derivative of 0*q + 0*q + z*q - 3 wrt q.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(180\/(-24))*(60\/8)\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(2\/15)*l**0)\/((l*(l*l**(-1\/4))\/l)\/(l\/((l*l**(2\/5))\/l))) assuming l is positive.\nAnswer: l**(59\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -6*c**2 + 107*c - 12. Let y(n) = -n**3 + 17*n**2 - 322*n + 34. What is -17*x(m) - 6*y(m)?\nAnswer: 6*m**3 + 113*m","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 151*i**4 + 3065*i**3 + 42*i + 926091529.\nAnswer: 604*i**3 + 9195*i**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25360 and 400.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in nine tenths of a kilometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-4) - 220\/(-40). Solve 6*z + 2 = -t*n + 2*z, 1 = -n - z for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 6:25 AM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -24*r**2 - 9*r + 4. Let h(l) = -12*l**2 - 4*l + 2. Suppose -256 + 334 = 26*f. Give f*u(k) - 7*h(k).\nAnswer: 12*k**2 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/((-10)\/(-4) + -1). Let r = -1 - w. Let o be r\/(-5)*5\/(-2). Which is the second smallest value? (a) 2 (b) o (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j + 5*j + 20 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -7. Calculate the smallest common multiple of (-8 + 2)\/(t + -2) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-21)*-4*(-4)\/(-32)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 4257*m**3 - 4258*m**3 + m**2 + 71 as a*m**3 + k*m**2 + s*m + h and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 359 + 50 = 0. Suppose 1 = 2*l + z. Let r = l + 71. What is the remainder when 79 is divided by r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 3*h - 332766, 4*i - 224*h = -229*h + 443693. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z\/z**(-1\/2)*z*z*z)\/z*z)**(-14)\/(z*z*z*z**(-1\/4)*z*z)**26 assuming z is positive.\nAnswer: z**(-429\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dm when two letters picked without replacement from tmedvvemktmdtvt.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6645 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 5*h + 2*k, -1 = -2*k + 1. Suppose -h + 1 = -2*j. Factor -18*m + 5 + j*m**2 - 1 + 11.\nAnswer: 3*(m - 5)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122 - -1022011222011?\nAnswer: 1022011222210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rqxq when four letters picked without replacement from {r: 7, x: 3, q: 2}.\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -13 and 21568242.\nAnswer: 21568229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/404238 and 63\/3785?\nAnswer: 2021190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -l*w**2 - 145*l*w - 5*l - w**2 - w - 13616 wrt w.\nAnswer: -2*l*w - 145*l - 2*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6*(-1)\/(-2) + 1. Solve 0*r - q*p = -r + 17, -p - 9 = -5*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5160 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5210, -42339, -143198, -339653, -663570, -1146815, -1821254, -2718753?\n\"Answer: -5311*r**3 + r**2 + 45*r + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 8:19 PM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-18216)\/468 + 11\/(-143)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -138*s + 101 + 231 + 82 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*p = 0, -16 = 2*j + 3*p - 0. Let r = -2 - j. Suppose -i = -r*i + 22. Calculate the remainder when 21 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 561 + 480 = -30*u. Let t be (-1 - -2)*3*-3. Let c(z) = -z**2 - 9*z + 3. What is the remainder when u is divided by c(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0843? (a) 1\/5 (b) -39 (c) 1 (d) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 49585*v*x**3 - 14*x**3 - 5*x + 1 wrt v.\nAnswer: 49585*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/6 (b) 0.3 (c) 3 (d) -2\/5 (e) -2 (f) -4\/1167\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 30*t**3 - 5*t**2 - 31*t + 10. Let v(h) = -30*h**3 + 5*h**2 + 30*h - 10. Let c(o) = -5*b(o) - 6*v(o). Find n such that c(n) = 0.\nAnswer: -1, 1\/2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5 = -2. Suppose 0 = 5*q - c - 7 - 12, -q - 4*c = -8. Sort r, q, 5 in ascending order.\nAnswer: r, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2035\/5193 - 162\/577. Let j = 1.8 - -0.2. Which is the nearest to 0? (a) -3 (b) d (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 843700 and 30975.\nAnswer: 1475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 96 = 24*u. Solve 3*n = 3*w + 9, -n - 4*w = -u*w - 7 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -477185, -954380, -1431575, -1908770, -2385965, -2863160?\n\"Answer: -477195*p + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -46*n - 49. Let y(c) = -93*c - 99. Let t(i) = -2*y(i) + 5*z(i). What is the first derivative of t(j) wrt j?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - a**2 - 2*a + 2. Calculate g(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -k**7\/42 + k**4\/6 - k**2. What is the second derivative of o(v) wrt v?\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f + 0 + 0 + 0*f + 4*f - 2*f + (-2 - 2 + 3)*(-f - f + f) + 21*f - 2 + 106*f - 30*f in the form m + r*f and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q + 2 - 6*q + 8*q + 3*q**2. Let n be c(0). Calculate the greatest common divisor of n and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.2 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 246 - 120 - 126 + 2*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q - 18*q = -5*r - 111, -5*r + 5 = 0. Let o = -66 + q. Sort o, 4, -3 in decreasing order.\nAnswer: 4, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1067187824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1360 divided by 112858.\nAnswer: -680\/56429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x + 35 = 5*w + 5*x, 5*x + 20 = 2*w. What are the prime factors of (1 - 2) + 374 + (0 - w)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 62 - 44. Let r be -3 + c\/4*2. Let f be -12*(r\/(-4) - (-3 + 2)). Solve 0 = -8*h + f*h + 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 0.03 (c) 0.17259\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1131.82 millennia?\nAnswer: 113182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*i**5 + 122*i**4 - 7*i**2 - 24618189*i.\nAnswer: 260*i**3 + 1464*i**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 4*c**2 - 3*c - 8. Calculate the least common multiple of b(-4) and 11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 1854 (c) -2365 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -73817\nAnswer: 22145.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (-9 + 2) - -10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6312*q + 539254 = -288721 + 177839 for q.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) + (-1 + sqrt(1872) - sqrt(1872) - sqrt(1872)))**2.\nAnswer: 12*sqrt(13) + 469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 r when three letters picked without replacement from {d: 3, q: 2, r: 1, x: 4}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(-14*o + 3*o - 4*o)*(-5*o**3 + 4*o**3 + 3*o**3 + 3*o**3 - 3*o**3 + 4*o**3 + (-o + 2*o - 3*o)*(2*o**2 + 2*o**2 - 5*o**2)).\nAnswer: -120*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - r. Suppose 0 = -2*f - 0*f - 2. Let i(v) = -v + 2. Let p(y) = -2. Let j(b) = 3*i(b) + 2*p(b). Calculate f*j(a) + s(a).\nAnswer: a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -3, 7 in descending order.\nAnswer: 7, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/9*(70 + -64).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/640 and 9\/320?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - a**2 + a + 14. Suppose 0 = d + 6*d. Give p(d).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 0.9. Let i = -4.32546 - -5.32546. What is the nearest to 1\/4 in i, 4, a, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13312 and 27040.\nAnswer: 865280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 16874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 500 is divided by 158?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -n**7\/105 - 10531*n**5\/60 - 617*n**4\/12 - 2*n**3\/3 + 95*n**2 - 35. Find the second derivative of r(j) wrt j.\nAnswer: -24*j**2 - 21062","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 - 7. Let s be (45\/10 - 4)\/(18\/8). Which is the third biggest value? (a) s (b) l (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8749623?\nAnswer: 3, 1459, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4876 is divided by 415?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1299 + 1972. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 q when four letters picked without replacement from {q: 3, i: 5, s: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 184\/805 + 4\/20.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 1, 9, 5 in increasing order.\nAnswer: -5, 1, 4, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j*j\/(j*j**(-14)*j)))\/j*(j*j**(-3\/11))\/j)\/(j**(2\/5))**9 assuming j is positive.\nAnswer: j**(-1038\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2047239987 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8380 is divided by 286.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/10 + 15\/(-25). Which is the nearest to 2\/7? (a) s (b) -3 (c) -1 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*c - 2*c + 4*c)*(-1 + 3 - 1) + 3 + 1355*c - 1763*c - 5 in the form q + b*c and give b.\nAnswer: -410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*b**3 + 17*b**3 + 4*b - 3*b**2 + 3*b**2.\nAnswer: -7*b**3 + 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3630 + -3628. What is the smallest common multiple of k and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1426.6728 rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56406 and 168?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 233 and 2271517.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pvpppvp. What is prob of sequence vv?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.812 minus 68992?\nAnswer: -68992.812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3*n - 2*n = -13, 0 = 5*x - 2*n - 10. Suppose -4*t + 6 = -t. Which is greater: x or t?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002202222 (base 3) in base 2?\nAnswer: 101010011001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34 (base 10) to base 12.\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5\/702 + -3403\/1404. Calculate the common denominator of -155\/714 and s.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 721673855?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 321 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -0.00414?\nAnswer: -0.00414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 65 - 8 = -5*d, 81 = -3*f - 3*d. Put 2, -3, f, -4 in ascending order.\nAnswer: f, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of m**8\/2688 + m**7\/1008 - 61*m**4\/24 - 14*m**2 - m. Let p(t) be the second derivative of a(t). Let p(o) = 0. What is o?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23417721*g**2*i**3 + 42*g*i**3 - g - 2*i**3 + 13345*i wrt g.\nAnswer: -46835442*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -111433984 divided by -262816.\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 18455468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -q**4\/4 - 5*q**3\/3 - q**2\/2 - 2*q - 1. Let w be g(-5). Let p(o) = o - 1. Let z be p(w). Is z greater than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wws when three letters picked without replacement from {w: 6, s: 2}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 2 + 0*m + m)*(2*m + m - 4*m)*(40*m - 12*m - 10*m + (1 + 1 - 1)*(-m + 0*m + 2*m)).\nAnswer: -38*m**3 - 38*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g**2 - 2*g**2 - 6*g + 2*g + g**2 - 6*g**2 - 5*g**2 + 2*g - 2*g + g**2 + (-3*g + g + 4*g)*(4*g - g - g).\nAnswer: -3*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/72 and -113\/144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13375 + 38854. What are the prime factors of j?\nAnswer: 3, 19, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -3\/10*b**2 + 1\/100*b**5 - 1\/60*b**4 + 20 - 1\/6*b**3 + 14*b. Let o(l) be the first derivative of k(l). Solve o(s) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 - 35?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27064 divided by -796.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82595306 is divided by 104287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 3:03 PM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 6 = 0, 3*l - 25 = m - 10. Suppose -v = 3*y - 57, 2*y - l*y = 3*v - 192. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 21, 37, 67, 117, 193?\nAnswer: 301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*j + 5*d, d - 12 = -4*j + 6. Suppose 36 = 3*f - w, 3*w - j*w = 0. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9850.107s in microseconds?\nAnswer: 9850107000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100130 (base 6) in base 15?\nAnswer: 11226","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmr when three letters picked without replacement from {m: 9, r: 10}?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 60380 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -3 (b) 0.2 (c) 4\/121 (d) 5 (e) 51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27.2 + 27. What is the closest to -2 in 1\/4, b, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 106470678*s**3 + 53*s**2 + 16330*s - 12?\nAnswer: 638824068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2380*n - 281. Is o(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31.34*-0.7\nAnswer: 21.938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 31, 5, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 51832\/(-1023)*(-2)\/48*-27?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1256096917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 6217815?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - -2 - 2) + -1. Let c be -3 + 9 - (-6 - -4). Suppose -4*i + l = -73, 5*l = -i - u*i - c. Solve 4*k - i = 3*a, 3*a = -k - 8 + 1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7382150 and 1006446.\nAnswer: 1546","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4 (b) 0 (c) -17.62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 48 in decreasing order.\nAnswer: 48, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of l**6\/6 - 3*l**3 + 3. Find the third derivative of k(n) wrt n.\nAnswer: 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*h*t**3 + 3*h*t**2 - 120106*h + 1546*t**3 with respect to t.\nAnswer: -21*h*t**2 + 6*h*t + 4638*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51 + 634 + 317 - 57)*(-2*w + 2*w + w).\nAnswer: 945*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**3\/17 - 4758*y**2\/17 + 332878*y\/17 - 1545690\/17 = 0?\nAnswer: 5, 67, 2307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 7, -2, 22, -4 in increasing order.\nAnswer: -4, -2, 1, 7, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 326 + 44. What is the common denominator of ((-50)\/(-9) + -3)\/1 and f\/(-50) - 2\/(-4)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 2:26 PM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 181740.9 > 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**2 - y - 2. Let a(g) = 6*g**2 - 2*g - 5. Give -4*a(h) + 11*n(h).\nAnswer: -2*h**2 - 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from assudpspusss. Give prob of picking 1 a, 1 u, and 1 d.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x**2 + 36*x + 328. What is c(-11)?\nAnswer: -431","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-80*j**2 - 11*j**2 - 46*j**2 + (j + 2*j - 2*j)*(-1 + 1 - j))*(0 + 1 - 2)*(-2*j - j + 0*j)*(4 + 4 - 4).\nAnswer: -1656*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-6))\/(5*(-15)\/(-100)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) + sqrt(133)*-2)*1)\/(sqrt(56)\/(sqrt(8)*-2)).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.4 + 2.6. Let r = -190 + 189.8. Which is the nearest to i? (a) r (b) 15 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4465\/6270 + (-2)\/3. Let g(n) = -3*n - n + 3*n + 6 + 0*n. Let l be g(6). Is l at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*u + 3*u - 8*u)*(2 + 0 + 1)*(6*u - 6*u - 8*u**2)*(-1 + 0 + 0) to f*u + p*u**3 + s + a*u**2 and give p.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1701635572 to the nearest integer?\nAnswer: 41251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b. Let w(i) = -12 + 12 - 4*i + 0*i. What is m(w(s))?\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25 - -123522?\nAnswer: 123550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 349\/3 + -6625\/57. Let f be 8 - ((-1 - 3) + 8). Suppose -1 + 5 = j, -f*i - j + 4 = 0. Is i greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -213042, -213024, -213006, -212988?\nAnswer: -212970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 6:37 AM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.88266nm in micrometers?\nAnswer: 0.06388266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 348 and 6533004.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3850 divided by -5.\nAnswer: -770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 12792\/(-208)*(-220)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 369 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -232 divided by -5?\nAnswer: 232\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.5, 34.8, 1\/5, 4\/3 in descending order.\nAnswer: 34.8, 4\/3, 0.5, 0.4, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 24835345193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 48*f + 1. Let q(i) = -44*i - 2. Give 3*a(n) + 2*q(n).\nAnswer: 56*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 11:08 PM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 7890.\nAnswer: 1\/2630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 106 * -2433\nAnswer: -257898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57436, 229751, 516930, 918967, 1435856, 2067591, 2814166?\nAnswer: 3675575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 1 = -7. Let s = -134559\/4 + 33640. Put -4, o, 4, s in ascending order.\nAnswer: -4, o, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.04 + -0.04. Let p = 0 - w. Let r = p - -1.48. What is r rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 4050.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 102 + (-3 - -3) + 3. Let g = 405 - i. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11138*z + 602248 = 2172706 for z.\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1000 = 5*a - 4*c, -5*c = 21*a - 19*a - 433. Is 9 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 + (-1017)\/36 - 3)*(-16)\/10. Let b(h) = 9*h**2 + h + 2. Let f be b(5). Calculate the greatest common factor of f and s.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, 3, -2324.\nAnswer: -2324, 0.7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ym when two letters picked without replacement from oyoyyyyyyomm?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 2*z + 62. Determine t(0).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2258*g - 187*g**3 - 2258*g - 3066*g**3 - 306*g**3.\nAnswer: -3559*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -34, -31, -5, 4959, 0 in descending order.\nAnswer: 4959, 2, 0, -5, -31, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -555625 divided by 5?\nAnswer: -111125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-58 - -39) + (6 + (-30 - -11) - -83)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**2\/7 - 672088*z\/7 - 56462784968\/7 = 0.\nAnswer: -168022","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**2\/3 + 14362*x\/3 - 57416\/3 = 0?\nAnswer: 4, 7177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 - -25. Suppose 7*d - 396 + 368 = 0. Suppose -4*p + 11 = b, -5*p + 0*b - 3*b = -12. Solve -d*m = -p - n for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -7*o**2 + 674*o - 867. Let f be a(99). Which is smaller: f or -2751?\nAnswer: -2751","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*v**2 - 63*v**2 - 70*v**2.\nAnswer: -154*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*b**3 - 15*b**2 + 295*b - 1874637.\nAnswer: -33*b**2 - 30*b + 295","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -8 (c) -0.162 (d) -17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 11 + -6 + 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + x**4 + 62*x**3 - 2*x**2 - 59*x**3 - 2*x**2 to f*x**3 + z + t*x + j*x**2 + g*x**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of l**6\/15 + 1463*l**5\/20 - 105*l**2\/2 - 795*l. Differentiate f(x) with respect to x.\nAnswer: 8*x**3 + 4389*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 1. Let m(w) = 22*w**3 + 6. Calculate -5*h(b) - m(b).\nAnswer: -17*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12.5 + -14.66. Let l = k - -1.04. What is l rounded to one decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 56*u**3 + 56*u**2 + 135*u**3 - 164*u**3 as s*u + o*u**2 + b*u**3 + c and give o.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -256b5a (base 16) in base 12?\nAnswer: -9a31b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*f = 1301 + 106 - 8607 for f.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c27 + -2c8?\nAnswer: -1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/12 - 2)\/(3\/(-10)). Suppose 0 = -4*v - 5*q + 68119975, -z*v + 4*q + 55846370 = -29303650. Round v to the nearest one million.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -5*j - 160, u + 175 = -5*j - 4*u. Let w be 3\/((j\/(-8))\/(-5)). Is (26\/5)\/(w\/(-20)) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1541383 or -1541448?\nAnswer: -1541448","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -159 + 315. Let d be (-6)\/(-21) + r\/42. Suppose 5*c - s = c - 2, -d*s + 8 = 2*c. Let u(n) = -n**2 - n - 3. Calculate u(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3223 (base 11) to base 12\nAnswer: 2570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 - (8 + -15) - 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*n + 95*n + 5803 = 243*n - 6625 for n.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**3 - 22 - 10*z**3 + 47 + 25*z**3.\nAnswer: 11*z**3 + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-702)\/(-252))\/39 + 453\/126 - (-135625)\/(-36735).\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 334*x + 121114 = 375*x. List the prime factors of x.\nAnswer: 2, 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 20*n + 2504. What is h(-126)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5525908971 - 67360830319313\/12190. Let a = -1\/4876 - p. Calculate the common denominator of a and 19\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 10:37 PM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -13*z**2 + 101*z + 15. Calculate k(5).\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3617, 3577, 3537, 3497, 3457, 3417?\nAnswer: 3377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30.904 - 31. Let d = -0.904 + l. What is the closest to d in -0.14, 1\/4, 1?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 12*d**2 + 15*d - 13. Let h be j(13). Suppose 6 + 16*g**4 - h*g**3 - 9*g**5 - 20*g**4 + 15*g - 17*g**3 - 26*g**4 = 0. Calculate g.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 72, 40, 9\/7, 23.6?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 9:24 PM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0048775 to five decimal places.\nAnswer: -0.00488","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 3389*w**2 + 8*w + 226*w + 1.\nAnswer: -3389*w**2 + 234*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 548496 and 170352.\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3153974187 to the nearest integer?\nAnswer: 56160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 3199756000 to the nearest one million.\nAnswer: 3200000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-48)*-3*(-8)\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-48 + 21 - -21 - 34)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -13020 divided by -14\nAnswer: 930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l - 22. Let u be b(0). Let t(a) = 1156*a**3 + 19*a**2 + 7*a + 46. Let n be t(u). Round n to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 364.69 + -363. What is q rounded to one dp?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -2*m - 14, 2*m = 3*m + 3*h + 10 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -3 + 4 + -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46 (base 15) to base 11.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 1 + 2 - -16 - -3.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2071 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 j, and 1 q when three letters picked without replacement from tqkdjkdudqqktqj?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 = 5*r + 5*t, 57*r + 330 = 75429*t - 75423*t for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + 9*l - 3. Let y(s) = -13*s**2 - 2*s + 5. Let z(c) = 71*c**2 + 7*c - 26. Let h(g) = -11*y(g) - 2*z(g). Calculate 5*h(p) - 4*r(p).\nAnswer: p**2 + 4*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -84 divided by -28\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -387 - ((-12)\/(-10))\/((-2)\/(-5)). Round h to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 60215 + -b?\nAnswer: 60209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242 = -27*r + 296. Let s(d) be the third derivative of 1\/60*d**6 + 0*d**4 + 0*d**3 + 14*d**r + 1\/63*d**7 - 1\/45*d**5 + 0 + 0*d. Factor s(u).\nAnswer: 2*u**2*(u + 1)*(5*u - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -1737\/4, 3, -8.45, 0.\nAnswer: -1737\/4, -9, -8.45, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 39*h**2 - 8000*h + 1042. Determine l(205).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/(2196\/61)*36\/2?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(605) + -2 - sqrt(605))*2)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -55.6 - -41. Round a to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -100*x + 15. Let b be y(0). Let t(o) = -o**2 + 16*o - 22. Determine t(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 1)*355\/4615?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.890951894 rounded to 3 dps?\nAnswer: -1.891","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6 - (0 + 1)*-1. Let y = 2.3 - 0.3. Let o = 9 + -8. Which is the nearest to -0.1? (a) y (b) o (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-60 - 73 + 107)*(8*q - 10 + 10) in the form v*q + u and give v.\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1338 (base 9) to base 7.\nAnswer: -2636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1505 or -1638?\nAnswer: -1505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3057 + -9139\/3. Let y(f) be the first derivative of 4*f**2 + 10 - 2*f**5 + 0*f + 17\/2*f**4 - z*f**3. What is r in y(r) = 0?\nAnswer: 0, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 5*c - 4. Let x(m) = m**2 - 5*m + 4. Let l(u) = 4*p(u) + 3*x(u). Let w be l(5). Let o be (4\/4)\/((-6)\/w + -2). Is -1 less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*(4\/(-6))\/((-4)\/(-6)). Solve -2*v - l*o = -3*v + 13, -4*v = -o + 3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of d**8\/112 + d**5\/60 + 8*d**2. Find the third derivative of k(w) wrt w.\nAnswer: 180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 425 - 423. Suppose -a + 4 = 3*t, 0 = -0*a + 2*a + 10. Suppose 1 = t*i + b, -4 = 3*i + 4*b - 17. Sort s, 0.2, -1\/5, i.\nAnswer: i, -1\/5, 0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*z**2 - 10*z + 9*z + 13*z - 10*z + 278*z**3 wrt z.\nAnswer: 1668","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -820 + 971 - 152 + 4*o.\nAnswer: 4*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 8*w = -160. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/(sqrt(11)*1)*-4)\/(sqrt(242) + (3*sqrt(242)*1 - sqrt(242)) + sqrt(242)).\nAnswer: -sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 11*x**2 + 9*x - 13. Does 8 divide i(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1463 + 4153. What is the hundreds digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 109638648 and 8127?\nAnswer: 2709","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2845620602?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1038392 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -448, -834, -1220, -1606, -1992?\n\"Answer: -386*j - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 8*a + 2. Let f be i(9). Suppose -43 + 133 = 5*w. Let x be w + (-16)\/4 + -3. Is f > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10619?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) -1\/7 (c) 178 (d) -2 (e) 2\/23 (f) -34 (g) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**3 - 12*c**2 + 12*c - 2. Give m(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 6 = -30. Let x(t) = 36*t - 14. List the prime factors of x(i).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-202 + 202 + 13*q)*(2*q + 1 - 1) - 22 + 22 - 4*q**2.\nAnswer: 22*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 18*h**3 + 59*h**2 - 119*h + 2. Determine j(2).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 124 and 12803?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/5))**11*(y*y\/y**(-4\/3))**18 assuming y is positive.\nAnswer: y**(278\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*y + 0*y - 15*y)*(8*y + 1257 - 1258 + 35*y)*(y**2 - 3*y**2 + y**2).\nAnswer: 387*y**4 - 9*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 + 39314*p - 27*p**2 - 39314*p as j + l*p + y*p**2 and give j.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + k = -17, 16 + 23 = 5*a + k. Suppose 2*g + 8 = 6. Let b = g + a. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 501*a - 500*a + 2*n, a - 8*n + 51 = 0 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 4*k + 24. Let b be g(-6). Let x = 38 - b. Let m(h) = -2*h**x - 15 - 16 + 31. Let w(q) = 5*q**2 + 4*q. Calculate m(w(y)).\nAnswer: -50*y**4 - 80*y**3 - 32*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (464\/96 + -5)\/(2\/(-13164))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**2 + 276*a - 5648. Let i be b(25). Let 4\/7*f**5 + 104*f**i + 288\/7 + 324\/7*f**3 + 64\/7*f**4 + 752\/7*f = 0. What is f?\nAnswer: -9, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4047157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, m: 1, u: 2}. Give prob of sequence uui.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4.9 (b) 4\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -110, -39, -2, 1, -1, -106 in descending order.\nAnswer: 1, -1, -2, -39, -106, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -265 and -0.3?\nAnswer: 79.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/1 - (2 - 1). What is the remainder when 83 is divided by y\/(-12) + 32\/3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 15*k**3 + 3*k**2 - 3. Let p(t) = 195*t**3 + 40*t**2 - 40. Give 40*l(d) - 3*p(d).\nAnswer: 15*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/701041 and -111\/1610312.\nAnswer: 162641512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 377448.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -534, 3, 188, -9 in decreasing order.\nAnswer: 188, 3, -2, -5, -9, -534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 250065.1 kilometers?\nAnswer: 250065100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11 + 24ce1?\nAnswer: 24cf2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 8:00 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9790090, -9790091, -9790092, -9790093, -9790094, -9790095?\n\"Answer: -z - 9790089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -s**4\/4 - 5*s**3\/3 + 7*s**2\/2 - 7*s - 7. What is the units digit of i(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w + 17. Let c = -7 - -15. Let z be m(c). Solve -z = -2*i + a, -3*i + 3*a + 1 = -8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 5 (c) -2 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 312491 and 6556387?\nAnswer: 1481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1448 divided by 2?\nAnswer: -724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 7. Let s(j) = 299884*j**3 + 1 - 5*j + l + 250115*j**3 + 3*j**2 + 2*j. Let a be s(2). What is a rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, e: 1, n: 1, x: 2, i: 1, b: 1}. What is prob of sequence enlx?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k + 2*k + 3*k)*(2 + 1 - 6)*(k - 4*k + 2*k) in the form r + m*k + q*k**2 and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 9 = k - 3, 5*y - 4*k = 28. Suppose 0 = 2*v - 4*n + 2*n - 2, -3*v = 5*n - 27. What is the lowest common multiple of v and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 733140890 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 383849.\nAnswer: 47, 8167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 367959066 to the power of 1\/3, to the nearest integer?\nAnswer: 717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -20*f**3 - f**2 - 2*f - 1. Let y be k(-1). Suppose q + y = 3*q. Let a = 2862 + -2837. Calculate the highest common factor of a and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -481*x + 3372. Let o be w(7). Solve 20 = o*b - 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - 3*k + k)*(-16 - 12 + 7).\nAnswer: -42*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -13810, -18091, -25226, -35215, -48058, -63755?\n\"Answer: -1427*f**2 - 12383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (4 - (-2 + 1))) + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -17. Suppose -1 = -3*v + w. What is the remainder when 15 is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/9537 and -80\/6069.\nAnswer: 66759","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 112 + -192. Let l = -76 - x. Let h(m) be the second derivative of m**4\/12 - m**3\/2 - m**2 - m + 2. Calculate h(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6160423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u + 501 = 10*u. Let b = -21 - u. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4281682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 4. Let u = 31.083 - 0.083. Let o = -29 + u. Is o smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 5*i = 59, 5*a = -i - 4*i + 110. Solve -3*p + 3*x + 12 = 0, -3*p = 2*p - 2*x - a for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 230874.2112 to the nearest 1000.\nAnswer: 231000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.31 - -478.\nAnswer: 475.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -2*o - 3*f + 19, -2*f = -2*o + 12. Suppose 2*m + 0*m = 0. Solve -o*u + 1 + 7 = m for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19557 (base 12) to base 16\nAnswer: -90d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/12, -0.3, 2\/55, 0.1, 0.3?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 4:06 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 0 (c) -0.5 (d) 0.64 (e) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eonn when four letters picked without replacement from pqpqpqppqconecopn?\nAnswer: 1\/14280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2279036705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -517 bigger than -516?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -32 in -1\/6, 3, 0.3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {a: 3, m: 3, l: 1, x: 2, s: 1, i: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is nine sixteenths of a kilometer in centimeters?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 345 a factor of 47279145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 divided by 99?\nAnswer: 29\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3948925789 rounded to three dps?\nAnswer: -0.395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.3 + -8. Let y = 18 - 164\/9. Which is the closest to -1? (a) 3 (b) h (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 6, -9 + 1 = -2*v - 4*o. Is v greater than or equal to -13\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 30 = 3*y, -5*j = 3*y + 9 + 21. Let z(u) = u**3 + 18*u**2 + 12*u. Is 10 a factor of z(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -25*m**6\/2 - 250*m**3\/3 + 10*m + 5. Find the second derivative of j(f) wrt f.\nAnswer: -4500*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 181*h*q**3*r + 756*h - q**3 wrt r?\nAnswer: 181*h*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 - 19. Let s(g) = 4*g + 4. Let z be s(5). Let l be (0 + -1)\/((-6)\/z). Put l, -3, c in decreasing order.\nAnswer: l, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - (-1218)\/4)\/((-16)\/(-32)). Suppose -2*r + d - h = -5*r, 2*r = 4*d + 414. List the prime factors of r.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o. Let i(n) = -2926*n - 77. Let t(b) = -77*b - 2. Let k(s) = -4*i(s) + 154*t(s). Determine k(r(h)).\nAnswer: 308*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1145968 is divided by 1070?\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4335941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*s + 1144 - 4444 = 24*s for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 801 is divided by 115?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35.9553 - -36. Let w = k + -0.042. What is w rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 - -33. Let o(d) be the second derivative of 1\/10*d**5 + 1\/2*d**4 - 3*d - 1\/15*d**l - 1\/3*d**3 + 0 - 2*d**2. Suppose o(g) = 0. Calculate g.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8246 = -h - 2*a + 4*a, -5*a - 8249 = -h. Let w = 3473 + h. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -2, 18, -49, -3, -5, -1.\nAnswer: -49, -5, -3, -2, -1, 9, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((y - 4*y + 0*y)*(-3*y + y + y) + y - y + y**2)*((2*y - 2*y - y)*(-y + 2 - 2) + 1 - 3*y**2 - 3 - 27*y**2).\nAnswer: -116*y**4 - 8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 4. Let t be ((-4)\/6)\/(1\/6). Let w = -0.004 - 0.096. Sort d, t, w in increasing order.\nAnswer: d, t, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112665060?\nAnswer: 2, 3, 5, 19, 79, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - m**2 + m + 1. Let b be u(-1). Let v be (2 - 6\/3)\/(-2 + 4). Let t = b + v. Solve 0*w - 3*w - 15 = t for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1280 divided by -320.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1595155.\nAnswer: 5, 319031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/(107 + -2) - (-274)\/7. Solve 0 = -w*c - 0*c - 156 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.02481 + 0.0217838. What is i rounded to five dps?\nAnswer: -0.00303","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*w = -43*w - 12. Suppose -w*y + 21*y = 418. Calculate the remainder when 43 is divided by y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 25*a**2 + 767*a - 17303. What is z(15)?\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 363 = 2*y - 5*j, -3*j - 339 = -2*y - 6*j. Let s = 118 - y. Let f = -42 - s. Is f even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -0*i - 5*i. Let d = i + -10. Calculate the greatest common divisor of 4 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -5, 0.035, 75, 2.1, 244?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.01*7134\nAnswer: 71.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -a**3\/3 + 287*a**2\/2 + 2728*a + 2630. Find the first derivative of o(k) wrt k.\nAnswer: -2*k + 287","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = -41 + 132. Suppose -b = b - 4*a - 200, -3*b - 5*a = -322. Calculate the greatest common divisor of b and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -30*v - 3. Let z(n) = 17*n - 2. Let a(o) = -o + 2. Let l(i) = 2*a(i) + z(i). Let p(u) = -9*l(u) - 4*q(u). Find the first derivative of p(b) wrt b.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -0.3 (c) -6 (d) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in five quarters of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(2\/(-89))*1. Suppose -83 = -2*r + 127. Let s = r - v. Solve -8*y + s = -4*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 33, -1\/14, 1\/21, -5, -2\/3, 0.2?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 138358219*q**3 + 852334*q - 27 wrt q.\nAnswer: 830149314*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -801 + 800.85. Sort -10, 2\/5, h in descending order.\nAnswer: 2\/5, h, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**1)\/z*(z*z**(-10))\/z)\/(z\/z**(3\/10)*z*z*z**(-7)*z) assuming z is positive.\nAnswer: z**(-77\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20413920 and 142.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**3\/9 + 57182*m**2\/3 - 32531562*m + 123710519710\/9 = 0 for m.\nAnswer: -87455, 841","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -130 divided by -26\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 k when two letters picked without replacement from {c: 3, k: 5, x: 1, t: 5, b: 2}.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -164*-858.\nAnswer: 140712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2620*2\nAnswer: 5240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(1\/20*4). Suppose 5*c + 2*m = 2570, 2*c - 3*c - z*m = -491. Suppose r - c = -5*b, 5*b - 2*r - 549 = -21. Is 21 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 732 and 4008.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 2161 = -751. Let v be d\/(-2)*(-4)\/5. Find the second derivative of 94 - v - 8*o - 14*o**2 wrt o.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5*h + h**2 + 1 - 5*h + 5*h**2. Let w = 1 + -2. Is p(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11821993234 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -6*h + 6. Suppose x = -h*z - 2, -3*x - 11 = z - 0. Which is greater: z or -1\/90?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -5*a**3 + 575*a**2 - 5860*a + 14560 = 0.\nAnswer: 4, 7, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 1768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9 + 9 + 5*x + 3*x - 3*x + 3*x - x + 0*x + 2*x + (0*x - 2*x + x)*(2 + 1 - 4) + 5*x + 0*x + 3*x.\nAnswer: 18*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (46 - 1)\/135*108.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 35, 9.\nAnswer: 4, 9, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -408*y + 409*y = 23. Sort 3, 5, y.\nAnswer: 3, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -b**5\/20 + b**4 + 10*b**3\/3 - 7*b**2 + b - 50. What is the tens digit of q(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38*0.06.\nAnswer: 2.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9758394.\nAnswer: 2, 3, 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*d**2 + 308*d**2 + 0 + 0.\nAnswer: 242*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -48 - 419?\nAnswer: -465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11.426 or 0.95?\nAnswer: 0.95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z - 1. Let q(n) = -n - 2. Let a be q(0). Let x(k) = -2*k - 1. Let v = 9737 - 9735. Determine a*x(d) + v*l(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 62 = 5*o, -2*o = -3*o + m + 6. Let n(z) = -2*z - 4. Let b be n(-3). Calculate the greatest common factor of b and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 6 - 1 = -4*l, 5*t = l + 5. Solve -2*c - 3 = -3*m + 1, 0 = -c + m - t for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4873500 and 68970?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-188)\/(-22)*(-7110)\/(-167085)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 3)*(-3*t**4 + 0*t + 0*t)*(5 - 1 - 2)*(-20*t - 4*t + 8*t).\nAnswer: 288*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 6. Let m = 1 - d. Suppose 18 + 64 + 204 = 13*g. Calculate the remainder when g is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1014)\/1872*20\/1)\/(20*8\/(-48))?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3*c - 15, -2*v = 2*v - 5*c - 19. Let u = v - 2. What is the second derivative of 2*o + u*o - 4*o + 2*o**2 wrt o?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25 * -0.0294.\nAnswer: 0.735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -10*v - 266. Determine k(-27).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**2. Let w(h) = -220203*h. Determine w(d(z)).\nAnswer: -440406*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 12:30 PM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (6\/24)\/(5 - 81\/12)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 1, 17, -1\/11, 1\/4, -5?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rppggrpggregrrert. What is prob of picking 1 g, 1 r, and 2 p?\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0, 1\/7, 10558013?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11902)\/7 + 2\/(-28)*-4. What is i rounded to the nearest one hundred?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 11 - 1 = 0. Suppose -i + 5 = z. Is i bigger than 3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2893, -2488, -2083, -1678?\n\"Answer: 405*u - 3298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {w: 6, g: 7}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of y**7\/2520 + y**5\/20 + 3*y**2. Let z(k) be the third derivative of v(k). Let n(t) = -2*t. Determine z(n(f)).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(117) + -2 - (sqrt(637) - (sqrt(637) + 2))*-2)*-3.\nAnswer: 18 + 45*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -4*f + 13, -2*a + a = -1. Let k(b) be the second derivative of -1\/15*b**5 + 1\/45*b**6 - 14*b - 1\/18*b**f + 0*b**2 + 0 + 2\/9*b**3. Factor k(w).\nAnswer: 2*w*(w - 2)*(w - 1)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 147 - 102 - (-4 + 0) - (1 + -14)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00019792 to 5 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*o + 72 + 26. Suppose -w + 22 = o. Solve 2*h - w = 2 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -14*a**5\/5 + 25*a - 8. Find the first derivative of h(x) wrt x.\nAnswer: -56*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m - m + 13*m - 56*m**2 - 1936*m**3 - 8*m.\nAnswer: -1936*m**3 - 56*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of f**4\/12 - 7*f**3\/3 - 11*f**2\/2 - 10*f. Let k be p(15). Solve -r + 10 = m, -2*r - k*m - 15 = -45 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 184 and 392?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10232 + 29*w - 10232.\nAnswer: 29*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -n**6\/60 + 7*n**5\/60 - n**4\/8 - n**2 + 24*n. Factor w(j).\nAnswer: -j*(j - 3)*(2*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50591647 and 174801.\nAnswer: 5297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - g + 3*g)*(38*g - 38*g - g**3 + (2*g**3 + g**3 - 5*g**3)*(-3 + 0 + 4)).\nAnswer: -9*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 751757?\nAnswer: 17, 44221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2707, 2, -2462, -0.3 in descending order.\nAnswer: 2, -0.3, -2462, -2707","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-2*sqrt(76)*-3 - sqrt(76)*3*2)\/((sqrt(96)\/(1*sqrt(4)))\/(sqrt(6) - -2*sqrt(24)\/sqrt(4))))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 11, -0.4, -0.2, -9, 1535?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 8.7. Let f be 6\/(-33) + 12\/33. Which is the fourth biggest value? (a) -1 (b) 4 (c) l (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, n: 1, u: 2, f: 4, i: 7}. Give prob of picking 1 u, 1 i, 1 f, and 1 z.\nAnswer: 56\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - (2 - 24\/(-4)). List the prime factors of 22\/(z\/(6*-5)).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q**2 + 3*q**2 - 4*q**2)*(-q**2 + 2*q**2 + 0*q**2) - 436*q**4 + 216*q**4 + 221*q**4 - 10*q**3 as u + j*q**4 + t*q + y*q**2 + r*q**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -220044344 + -2?\nAnswer: -220044401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzjejjxxzzeeexe. What is prob of picking 3 e?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -186 - -244. Calculate the remainder when 228 is divided by x.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 15*l**4 + 430*l**3 + 4040*l**2 + 11970*l - 4455 = 0.\nAnswer: -11, -9, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 - -4*(-3)\/3. Let i be 6\/c + (35 - 37). Let s be (-1)\/(-2) + (-12)\/(-8). Solve 3*z + 2*p = i, 18 = 2*z - p - s*p for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -957637, -957640, -957643?\nAnswer: -957646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f + f - 2*f + (1 - 1 - 2*f)*(-2 + 6 - 3) + (-2*f - f + 4*f)*(0 + 0 + 2) to the form a + o*f and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42625 or 2\/11?\nAnswer: -42625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 110506667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 328 = 4*y, 5*y = 8*c - 6*c - 170. Suppose -23*l = -31*l + c. Solve -l = -4*n + 2*h, -5*h + 1 = -3*n - 2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1552\/7*f**2 + 1560\/7 - 4\/7*f**3 + 3116\/7*f.\nAnswer: -4*(f - 390)*(f + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.16 - -0.12. Let h = t + -0.38. Does 7 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18 + 18 + 12*a)*(-1 + 4*a + 3*a - 8*a + (5*a - 5*a - 2*a)*(0 + 1 - 3)) to q + p*a**2 + j*a and give p.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**2\/9 + 1081*o\/9 + 37910\/9 = 0 for o.\nAnswer: -34, 1115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 140011175*y**4 - y - 760119.\nAnswer: 1680134100*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 8, t: 2}. What is prob of picking 2 t and 1 k?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 213*r = 215*r - 21, -3*a - 2*r + 71 = 0 for a.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/2 or -33861\/7?\nAnswer: -33861\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/19, -9\/10, 2\/5, 1.8, -1\/6, -2?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y - 39. Give k(0).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60 + 2*v**3 + 61 - 121.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (0 - (-3 - -7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 117*j + 270. Let a(u) = -23*u - 54. Let c(v) = -24*a(v) - 5*f(v). Differentiate c(z) with respect to z.\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 13. Let p be 19 - (4\/o + 5). Let n = 16 - p. Solve n = -5*v - 15, -2*i + 5*v = -25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 5*g - 9, -6 = -5*g + 4. Suppose -k - 3*u = 3*k + 26, 3*k + 4*u = -23. What is the remainder when k + 4 + p*26 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3132 (base 4) to base 12\nAnswer: -166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21623565 - -2?\nAnswer: 21623600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/((-1)\/1))\/((-57)\/19).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 0*r + 0*r)*(2 + 3 - 10).\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**3 + 0*y**2 - 8*y**3 + 4*y**3 - y**2 to the form h*y**3 + o*y + n*y**2 + u and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (41 - 32) + -51 + 7?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 450*y**5 - 483*y**2 + 185646*y - 4.\nAnswer: 9000*y**3 - 966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 26*t - 4. Let d(h) = -25*h + 5. Determine -3*d(b) - 4*y(b).\nAnswer: -29*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -7*f - 10. Let c(o) = -1352*o. Give c(j(a)).\nAnswer: 9464*a + 13520","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 2*u**2 - 123*u. Let v(g) = -4*g**3 - 7*g**2 + 367*g + 1. What is -7*d(k) - 2*v(k)?\nAnswer: k**3 + 127*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101102001020 (base 3) to base 13.\nAnswer: -72342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 28 + 2. Let f = z - -7. Let r(s) = -36111*s**3 + s**2 + s - 6. Let j be r(f). What is j rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 32.85104 millilitres?\nAnswer: 0.03285104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -6) + (-198 - -182).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 - -15775?\nAnswer: 15769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -317196100*f**3\/3 - 105684540*f**2 + 47488*f - 16\/3.\nAnswer: -4*(f + 1)*(8905*f - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 56956865761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of 2*j**3\/3 + j**2\/2 - j + 1. Let a be r(1). Solve -a*b + 6*b - 21 = 5*l, -3*b + 3*l + 12 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-6)*(-10)\/(-5). Calculate the lowest common multiple of 9 and (-4)\/(-6)*54\/12*t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(2\/51)\/(s\/(s\/s**(-1\/5)))*(s\/s**(2\/31))**(-28) assuming s is positive.\nAnswer: s**(-205169\/7905)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3467221?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -201316, -201565, -201980, -202561, -203308?\nAnswer: -204221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-187)\/(-2) + 6\/36*-9. Calculate the highest common divisor of 46 and y.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2938 = -3*w, -20*w + 4*n = -17*w - 2974. What is the highest common divisor of 4 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 38*d + 7. Let i be u(3). Let l = 226 - i. Is l a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.25 + -0.09. Let k = x - -0.14. Which is the second biggest value? (a) 4 (b) -0.5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 96*r - 16*r**2 - 204*r + 9 - 2*r**3 + 31 + 86*r.\nAnswer: -2*(r - 1)*(r + 4)*(r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -526 + 512. Let h(g) = -g**2 - 17*g - 38. Let o be h(s). Solve 3*v - 4 = -o*z, -v + 5 = z + 3 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 458 divide 1746812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*sqrt(17) + sqrt(1377) + 2)**2.\nAnswer: 12*sqrt(17) + 157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -303158, -303156, -303152, -303146?\nAnswer: -303138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + (0\/(-2))\/(-1). Let l(a) be the third derivative of a**5\/30 - a**4\/24 - a**3\/6 - 422*a**2. Determine l(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**3 + 4*u**3 + 2*u**3 - 5*u**3.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -79 + 113. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/5, 87.1, 1\/2, -2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -9 - -3 - (0 + 4 - 4)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3c47e - 1?\nAnswer: -3c480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 470, 3489, 11600, 27347, 53274, 91925, 145844, 217575?\n\"Answer: 424*s**3 + 2*s**2 + 45*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 13*r**2 - 9*r. Is i(12) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/6)\/(1\/10). Let r = c + 10. Suppose -71*m - 18 = -72*m + 3*p, 5*p = -45. Sort 4, -4, m, r in ascending order.\nAnswer: m, -4, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*g - 7789 = 941, -2*u + 8730 = 2*g. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 65 + 79 = 0. Let t = -27 + p. What is the remainder when 18\/5*((-69)\/(-9) - 1) is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9834*x + 2400 = -9954*x for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001655 rounded to 5 decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1*(-2 + sqrt(288) + sqrt(288)) - -2*sqrt(288)*2*3)**2*4.\nAnswer: -6720*sqrt(2) + 225892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 b, and 2 a when four letters picked without replacement from btptatabchahbptc.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -201120?\nAnswer: 201200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-166)\/6)\/((-12)\/36). Let p = f + -173. Let h be p*5\/((-100)\/8). Calculate the greatest common factor of h and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(700)*-1 - (sqrt(7)*-1*5)**2.\nAnswer: -175 - 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 128 and 248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of m**4\/4 + 4*m**3\/3 + 3*m - 1. Suppose 3*i - 5*n - 65 = 0, -4*i + 0*i + 4*n = -100. Let f be 2 - (1 - 0) - i\/6. Give r(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 869403823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*h + 36 = -16*h. Solve -p - h = 4*f, -4*p - 3*f - 4 = 7 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 351000245 (base 6) to base 13\nAnswer: 1460b61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 351318 > 4\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0)*(-59 + 59 + 11*h).\nAnswer: -22*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 324*u**3 - 323*u**3 + 2*u**2 + 4*u - 5 - 3*u. Calculate q(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 2*v**2 + v + 3. Calculate u(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m - 2. Let j(s) = 5*s - 4. Let o(l) = j(l) - 6*n(l). Let t be o(6). Solve t*p = 4*u + 18, 3*u + 7 = 2*u + 3*p for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -173184 divided by -66?\nAnswer: 2624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*f + 35931 = -15*f - 441*f for f.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1.5, 0.4, 11, -0.3, 2\/27?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 166 = -5*s, 0 = -s - 2*l - 0*l + 38. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/4*172\/258.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-319)\/116 + 18\/8.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 956, 1590, 2234, 2888?\n\"Answer: 5*j**2 + 619*j + 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(24\/(-120)*(-1)\/2)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 5. Solve 3*o = 8 + i for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 17*n**2 + 167*n - 18. Let i be h(-10). Solve 6*q = 4*q + i for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 906049 to the power of 1\/3, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 2*q**2 - 7*q + 4. Let b be z(6). Suppose 3*w = b - 34. Suppose -t = -4*t + w. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71775 a multiple of 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 4*l - 6, 4*l = 4*f + 16 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-598)\/(-39)*12\/(-16) and -67\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 2. Is 1982\/(p\/(0 - 4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00802299789 rounded to four decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1372243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1900) + -5 - (sqrt(1900) - (3*sqrt(1900)*-5 + sqrt(1900)))) + (-4*-4*sqrt(209))\/((sqrt(121) + (sqrt(121) - sqrt(121)*4))\/sqrt(11) - sqrt(11)).\nAnswer: -376*sqrt(19)\/3 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 65*l**3*x**3 + 6804*l**3*x**2 - 26*l**2*x**3 wrt x.\nAnswer: 390*l**3 - 156*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 396792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*n - 55*n = 6. Let s(b) = n + 4*b**3 - 5*b**3 - b**2 - 3*b**3 - 2*b - 2*b**2. What is s(-2)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 66*t**2 + 621*t + 143. Is a(-58) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -1\/3. Let k = m + -5\/3. Is -3 at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1487 = -53*t + 48*t + 4*w, 3*t + 2*w - 879 = 0. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*q - 3 = 5, 0 = 3*t - 4*q - 14. Suppose t*r - r - 331 = -3*x, 113 = x - r. What is the greatest common factor of x and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -9*m**3 + 2*m**2 + m. Let d be y(-1). Suppose 4 = -2*v + d. Suppose 5 = -4*f - v. Let q(j) = 3*j. Calculate q(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8203*i**5 - 439*i**4 + 6*i**3 + 117973028*i wrt i.\nAnswer: 164060*i**3 - 5268*i**2 + 36*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 33 = 33. Let d(t) be the second derivative of -5*t + 2*t**2 + h*t**5 + 0*t**4 + 0*t**3 + 0 + 2\/15*t**6. What is the derivative of d(f) wrt f?\nAnswer: 16*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 207 (b) 3 (c) -1\/7 (d) 0.5 (e) -1.3 (f) 9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -2*f + 7*f + 462, -25*m + 34*m - 352 = 11*m + 4*f for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(68)*-4 + sqrt(68) - (sqrt(68) + sqrt(68)*3*5 - sqrt(68)))\/(-6*(-3*(sqrt(196)*-1 + sqrt(196)) - sqrt(196))))**2.\nAnswer: 425\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17196944 divided by 8828.\nAnswer: -1948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 12 + 20 = 3*q, -3*q + 4*s - 32 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3157988407 to the power of 1\/2, to the nearest integer?\nAnswer: 56196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -12.080522 and 9?\nAnswer: 21.080522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**4 + 2*z**4 + 0*z**4)*(4 + 3 - 4)*(2 + 0 + 1) + 2*z**4 - 2*z**4 + z**4 - z**4 + 0*z**4 + 6*z**4 - 67*z - 14*z**4 + 67*z.\nAnswer: -17*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/25)\/((-179)\/(-1790))*120\/18.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -126, -1, -5, 3 in descending order.\nAnswer: 3, -1, -5, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 25, 4*t - 4*x = -0*t + 12. Suppose 0 = 3*m - t*m + 50. Solve 3*a - a - m = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9443215 - -121852.\nAnswer: 9565067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -198971\/36 - -5526. Calculate the common denominator of h and ((-8)\/(-210))\/((-1)\/(-10)).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*w + 980 - 1400 = 0. Solve 0 = -2*j - 5*c + 35 - 12, 3*j = -3*c + w for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*o - o - 5*o - 3 + 3 + o + (1 - 2*o - 1)*(5 - 2 - 5) + o - 2*o + 0*o)*(474*o + 62 + 53 - 116) as n*o + p + h*o**2 and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -469 by 72246.\nAnswer: -469\/72246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*b + 2*q, -4*q + 9*q = -3*b + 2. Let c(s) = s**2 + 4*s + 7. Suppose 0 = -5*z - 7 - 8. Let t be c(z). Put 1, b, t in descending order.\nAnswer: t, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 3*p - 0*d - 2, d + 11 = 4*p. Suppose p*l = -0*q + 3*q - 21, -l = 0. Let c(t) = t**2 - 7*t + 4. What is the units digit of c(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c + 12. Let a be f(5). Let o = -11 + a. Let x(u) = u**3 + 4*u**2 - 3*u - 4. Calculate x(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 84 or 331\/4?\nAnswer: 331\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*u + 50 = 69*u. Suppose u = d + 4. Suppose -d*l + 242 = 14. What is the greatest common divisor of l and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (280\/(-210))\/((-4)\/(-6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 - 29. Let m = 49 - v. Let y = m - 11. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2*d = 1705, -3*p = -7*p + 2*d - 1366. Which is bigger: -1 or p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -128 + 133. Calculate the highest common factor of 135 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5861)\/(-205135)*35\/113?\nAnswer: 1\/113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/18 - (-50)\/18. Suppose -3*l = 3*h + 24, 5*l + 8 = 2*h + 3. Let f be (0 + -27)*h\/15. Solve -3*i = -4*n - f, i + 4*n + b = 2*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y - y + 15*y)*(-4*y**2 + y**2 - 4*y**2) + 2*y**3 + 0*y**3 + 2*y**2 - y**2.\nAnswer: -54*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -51*j + 9. Let l(a) = -25*a + 4. Let w(i) = -13*l(i) + 6*o(i). Let p be w(-2). Let h = p - -51. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -64\/9 - -814\/117. Let p = -183 - -182.6. Which is the nearest to -1? (a) p (b) i (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**2 - 44503*k + 267054 = 0. What is k?\nAnswer: -44509, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 1:04 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.2397966 millilitres?\nAnswer: 0.0002397966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1464 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c + 4. Let f be j(0). Let v be (-2)\/f*(-12)\/(-2). What are the prime factors of 32 - (-1 - (3 + v))?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4948451 - 7429251. Round z to the nearest 100000.\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -10. Let d = 46 - 43. Suppose -2*r + 37 = 5*m, -2*m + 4*m = d*r - 65. What is the greatest common divisor of r and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44.5142 + -0.2542. Let d = a + 0.74. Let f = -44.999901 + d. What is f rounded to 5 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23777 and 234.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6bc (base 14) in base 11?\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -117.22 - -117.337061. Let m = z - 0.117. Round m to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -70276730 to the nearest one million.\nAnswer: -70000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 23064\/180 - (-2)\/(-15). Suppose -2*s + 98 = -d. Let w = 113 - s. Solve 0 = m - 5 - w for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -d - 3*d + 25, -5*d = 4*q - 20. Suppose k - y + 136 = 5*k, 2*k - 4*y - 50 = d. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dq when two letters picked without replacement from {q: 5, d: 7}?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*s = -4280 - 2440. What is the greatest common factor of s and 5124?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*x = -x - 1, 2*u - 4*x - 4 = 0. Let c = -37 + 70. Suppose 5*q + c = 48. Solve 3*k = q*d + 6, -k - u*d + 20 = d for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 29, 155, 281?\n\"Answer: 126*b - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zqmz when four letters picked without replacement from zzmmzmzmqmmzmmzzzmzm.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -879 + 13*q**2 - 8*q**2 + 879.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*sqrt(209))\/(sqrt(11) - -3*(sqrt(396) + sqrt(11))).\nAnswer: -3*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2 = 3*i, 11 = -2*p + 1. Let y be (-18)\/22*i - -1. Suppose 5*z = 9*z - 16. Which is the third smallest value? (a) y (b) 5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/(-15))\/(-8)*(-4 + 133\/152)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -235, -449, -673, -913, -1175, -1465, -1789, -2153?\nAnswer: -2563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jllljjjljjlll. What is prob of picking 2 j?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 50?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3743897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*r, -r + 46 = 5*p - 0*r. Let u be -9 - -12 - (-2 - 0). Suppose -p*t + u*t = 216000. What is t rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17*c*o + 2602*c - 143*o wrt o?\nAnswer: -17*c - 143","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.7 - -6. Let u = -2.7 - p. Let q = -3.2 - u. Which is the second smallest value? (a) -5 (b) -0.4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10339, 10265, 10133, 9937, 9671?\nAnswer: 9329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*a + 62*a - 13303 = -3*x, -4*a + 4*x = -53196. Is a a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 22*g - 16. Let s be q(3). What is the highest common factor of s and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 x when two letters picked without replacement from {x: 1, f: 14, i: 2}?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 654866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/3480 and 53\/696.\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 17b?\nAnswer: -17b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 212\/13287?\nAnswer: 212\/13287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 611840 a multiple of 512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -78 - -82. Suppose 0*c + 2\/5*c**q - 2\/5*c**2 + 0*c**3 + 0 = 0. Calculate c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 2*z - 3. Let n(g) be the third derivative of g**5\/10 - 11*g**4\/24 + 8*g**3\/3 + 8*g**2. What is -11*h(j) - 2*n(j)?\nAnswer: -j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 556.4617ml to litres.\nAnswer: 0.5564617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5514 - 3611. Is 2 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110101011 + 111?\nAnswer: 1110110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.61 - 0.764. What is i rounded to two decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -366, 4, -2, -58?\nAnswer: -366","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.35 - -0.3. Let r = -268.14 - -268.54. What is the nearest to k in 2\/7, r, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -72*i**2 + 36*i**2 + 24*i**2. Let v(c) = 5*c**2. Determine y(v(d)).\nAnswer: -300*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110111 (base 3) to base 6.\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**3 - 56*q**2 - 52*q - 28. What is j(-27)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1086 - 45.54?\nAnswer: 1040.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y + 0*y - 5 - 5*y + y. Is 9 a factor of m(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 621881*w - 327516 wrt w.\nAnswer: 621881","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 11*d - 10. Let k(b) = 0*b**2 + 2*b**2 - 3*b - 3*b**2 + 2*b + 1. Let q(v) = -2*i(v) - 4*k(v). Factor q(p).\nAnswer: 2*(p - 8)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 307 = -4*x, 0*i - i + 5 = 0. What is the remainder when x is divided by 30?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -1\/17, -0.2 in descending order.\nAnswer: -1\/17, -0.2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0*r + r - 13 = 0, 5*o - 44 = 2*r. Suppose -9*f + o*f = 2. Let l(c) = 7*c - 4. What is l(f)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33060 and 2263740?\nAnswer: 43011060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -464 - -515. Calculate the greatest common divisor of 663 and q.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/(-91))\/((-1)\/(-7)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3376*w - 1342. Does 8 divide y(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (51\/(-6))\/(1\/(-2)). Suppose -4*f = g - 4*g - 42, 3*f = 5*g + 59. Let y = g + a. Is y even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + 2. Suppose 0*p - p + 5*f - 15 = 0, -5*p - 4*f + 12 = 0. Suppose p*z + d = 5*z. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4374 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 6*t + 11*t - 11 = 0, -22 = 4*o - 2*t for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-12))\/(-20 - (-1803)\/90).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 - 12)*(-w**4 - w**4 + 3*w**4).\nAnswer: -15*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -60 - -59.8. Which is smaller: d or 3\/11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/5 (b) -10 (c) -2\/3 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of s**4\/2 + s**3 - s**2\/2 - 2*s + 2. Let k(j) = j**3 + 28*j**2 - 36*j - 93. Let a be k(-29). Let g = a - 112. Give t(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 34. Let c be b(0). What is the units digit of -1 - (c\/(-2) + 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*x + 18 = 0, -4*h + 3*x + 22 = 1. Find q, given that -3*q + 23*q**2 + 3*q + 36*q**h - 35*q**2 + 21*q**4 = 0.\nAnswer: -2, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/23 in 4\/7, 0.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 24*q**2 - 73*q - 28. Let b(x) = 7*x**2 - 25*x - 8. Let w(d) = 7*b(d) - 2*u(d). Let n(l) be the second derivative of l**3\/2 - l. Give w(n(c)).\nAnswer: 9*c**2 - 87*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*c**3 + 10*c - 10*c)*(-5 + 5 + 2*c).\nAnswer: 30*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, 34, -1, 0.3, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 6 = -2*q, q - 6 = 3*q. Let h = -4 + 6. Solve f - h = -v*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -16 + 9 - -3*4. Let u(s) be the second derivative of 0*s**4 - 1\/5*s**l + 0 + 1\/6*s**3 + 3*s + 0*s**2. What is the second derivative of u(v) wrt v?\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 41 (b) 0.3 (c) 217 (d) -4 (e) 1\/6 (f) 0.1 (g) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.31936293 to 4 decimal places.\nAnswer: -0.3194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in ten sevenths of a week?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 18*p - 4. Let s be d(-1). Is (-3)\/(3\/s)*17\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a century in decades?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 0*j - 3*j + j. Let s(o) = 10*o. Let l(t) = -t**3 - 4*t**2 + 2*t - 2. Let a be l(-5). Let n be (-4)\/(-4)*2 - a. Calculate n*w(d) - 2*s(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 334777 divided by 4?\nAnswer: 334777\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of k**6\/540 + 17*k**5\/135 + 289*k**4\/108 + 285*k**2. Factor b(c).\nAnswer: 2*c*(c + 17)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1952, -1946, -1930, -1898, -1844, -1762, -1646?\nAnswer: -1490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203105?\nAnswer: 5, 7, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 15*t**2 - 17*t + 15. Let r be o(16). Calculate the common denominator of r - (-543)\/36 - 4 and 41\/21.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 11*q + 18. Determine z(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167180*p + 5*p**2 + 334348*p + 2014 - 2014 - 167168*p.\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 1, -57, 3, -10 in decreasing order.\nAnswer: 3, 1, -2, -3, -10, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**5\/7 - 123*k**4\/7 - 3333*k**3\/7 - 34001*k**2\/7 - 119790*k\/7.\nAnswer: -k*(k + 11)**3*(k + 90)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 181*a**2 + 33*a + 110. Does 21 divide n(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8400 = -5*h - 5*w, -3*h + 4922 = -5*w - 142. List the prime factors of h.\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dyuynmkkm. What is prob of picking 1 m, 1 u, and 1 d?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40007393*h**2*w**3 - 19*h**2*w + 152*h**2 + 45*h*w - 40*w wrt w?\nAnswer: 240044358*h**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -8. Let h(m) = m**2 - 3*m - 7. Let d be h(x). Solve 4*j - d = n, -2*j = 3*n + 3*j + 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10*-6*6\/30)\/((-273)\/2912)\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/40 of a millennium?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 2:21 PM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - o**2 - o + 2. Let f be x(0). Put f, 5, -2 in descending order.\nAnswer: 5, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 k when two letters picked without replacement from {m: 4, e: 2, f: 3, c: 3, h: 2, k: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/1092 and -83\/28938.\nAnswer: 57876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -7*y + 18. Let v(k) = 36*k - 90. Let r(z) = 16*n(z) + 3*v(z). Let h be r(5). Sort 4, -12, h in decreasing order.\nAnswer: 4, h, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 0 + -76 + 30.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -3*t**4 - 153*t**3 + 1773*t**2 + 161997*t + 1779426 = 0.\nAnswer: -43, -22, -19, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 451129 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 4*o - 369 = -451, -8*y = 4*o - 96 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2534*g + 115994 = -112066 for g.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 18*d**2 + 16*d + 45. Let a be w(-4). Suppose -2*h + 131 + a = -2*g, -584 = -3*h - 5*g. List the prime factors of h.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3669 - 4137. What is the nearest to g in 2, -1\/3, -1\/10?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 42*c - 81. What is m(-40)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -214015*z**2 - 356936 wrt z.\nAnswer: -428030*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 161186420 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1219889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -29*g**5\/60 - g**4\/3 - 17*g**3\/6 + 56*g**2. Let c(j) = -4 + 11*j + 6*j - 3*j - 16*j - 7*j**2. Give -9*c(z) + 2*m(z).\nAnswer: 5*z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(6\/7)*h\/(h*h\/(((h*(h\/(h*h**17*h)*h*h*h)\/h*h*h)\/h*h)\/h*h*h))*h)\/(h**15*h*h*h*h**(-17)) assuming h is positive.\nAnswer: h**(-85\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/3)\/(1319766\/(-146643) - -9). Is 4654 at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 501*w**2 + 14*w + 4. Let v(k) = -k**3 + 2*k**2 + 7*k. What is -l(y) + 2*v(y)?\nAnswer: -y**3 - 497*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k = -14*k - 119378 - 109878. What is k rounded to the nearest one thousand?\nAnswer: 115000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 54\/(-21)*(-14)\/2. Let p(m) = 9*m - 2 - m - m. Let o be p(2). What is the greatest common factor of k and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54 + 190 - 41)*(-3*v - 2*v + v).\nAnswer: -380*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (16 - (78 - -30)) + 60\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 - 3)*(-2*l + 2*l + 3*l) - 11*l + 2*l - 10*l in the form s + q*l and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7920 and 3280.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 296 divide 27474424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 24, -87, 5, 7, -7, -3 in increasing order.\nAnswer: -87, -7, -4, -3, 5, 7, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d. Let x(f) be the second derivative of 34*f**3\/3 + f**2\/2 + 128*f. What is x(k(r))?\nAnswer: -136*r + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of -d**5\/20 - 18*d**2. Let l(u) be the second derivative of 2*u + 0*u**3 + 0 - 1\/12*u**4 + 0*u**2. What is l(y(r))?\nAnswer: -9*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -3 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -2*k**2\/3 + 920792*k\/3 - 105982238408\/3 = 0.\nAnswer: 230198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u = -23*u + 2*c + 34, 0 = -4*u + 2*c + 70. Solve -11*v = 26 + u for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 4*p**2 - p + 3. Let m be s(-3). Let q = m + 8. Let y be 11 + ((-760)\/140 - 8\/14). Solve y*z + 20 = q for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2\/4 - 347945*d\/4 - 115981\/2.\nAnswer: -(d + 115981)*(3*d + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 55\/26*72\/15. Let b be 219\/12 - 3552\/384. Is b at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 2*r = 0, 0*p + 5*p = -5*r for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 220 + 23)*(0*j - 2*j**2 + 0*j) + 2*j + j**2 - 2*j.\nAnswer: 397*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-25)\/(-2)*(-228)\/(-95). Find the first derivative of 30*y**4 + 243*y - 243*y - j wrt y.\nAnswer: 120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/53 and 2\/203 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -45349824*1.1\nAnswer: -49884806.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 0 + sqrt(500) + sqrt(500))**2 + (sqrt(500) - (2 + sqrt(500)*1 - sqrt(500))))*-4 + (3*2*sqrt(500) - (-2*sqrt(405)*-1)**2).\nAnswer: -9616 - 140*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p + 7. Let q be h(10). Let b be -2*(-8 + q + 3). Suppose -b = 4*n - 40. Solve 4*m = -0*m + j - 12, n = 3*m + 3*j for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31165280 and 81808860.\nAnswer: 654470880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18792 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zmm when three letters picked without replacement from {z: 1, c: 10, l: 4, m: 2}?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/189 and -1\/81?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 4643824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 79894 and 2105114?\nAnswer: 1858","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 443 or 6205\/14?\nAnswer: 6205\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -42*v - 13. Calculate the remainder when p(-5) is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33.4+0.23\nAnswer: 33.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 12, 4267, 17 in descending order.\nAnswer: 4267, 17, 12, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 5*p = -1073 + 1030, -p = 5*o + 17 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8536 + -4799. List the prime factors of u.\nAnswer: 37, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 304642, 1218416, 2741322, 4873360, 7614530?\nAnswer: 10964832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(5 + -1)*-1. Suppose m*s - 15 = -5*d, 3*s - 6*d - 9 = -9*d. Which is the closest to s? (a) 5 (b) 4\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4 + 1 + 7*t**3 + 5 + 7 with respect to t.\nAnswer: 21*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 - 314608077*h - 629216142.\nAnswer: -3*(h + 2)*(h + 104869357)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**5\/2 - 16569*p**4 + 137265880*p**3 + 16569*p**2 - 274531761*p\/2 = 0. What is p?\nAnswer: -1, 0, 1, 16569","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -7187*a - 8. Let d be q(16). Round d to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**2 - 4*m**2 + 6*m**2 + 0*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1428*a**2 + 1 + a + 1413*a**2 - 2*a**3 + 0*a**3 to s*a**2 + n + j*a + i*a**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4190*n**3 + 363*n?\nAnswer: 25140*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**2\/5 - 508*v\/5 - 213213\/5 = 0.\nAnswer: -273, 781","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 0. Let t(r) = r - 12. Let d be t(8). Put d, 4, k in ascending order.\nAnswer: d, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -57 - -21. Let p be (-120)\/k - (-4)\/6. Let n(q) = q**2 - 6*q + 20. Let z be n(0). Solve 4*o = 3*y + p, -o = -2*y + 6*y - z for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -298, -622, -948, -1276?\n\"Answer: -w**2 - 321*w + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -159, -3, 113, 64 in decreasing order.\nAnswer: 113, 64, 0, -3, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 507\/7 + -506\/7. What is the second smallest value in -0.1, -81, g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 3:09 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 639.985km in meters?\nAnswer: 639985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1 + 168\/(-15) - -3 and 61\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5004 = 3*q - 3*d, 223*q + 2*d = 220*q + 5024. What is the lowest common multiple of q and 2736?\nAnswer: 30096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -604.251225 to two decimal places.\nAnswer: -604.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -13*q**3 - 7*q + 13. Let v be ((-1)\/3)\/(2\/24). Let y be 2 + 4 + v + 2 + -1. Let g(f) = 6 - 2*f**3 - 4*f**y - 6*f - 3*f + 6*f. Give -9*g(b) + 4*j(b).\nAnswer: 2*b**3 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from ppypxbpxpbyb?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -8. Is -1\/28 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/2 + 2\/4. Suppose -2*b + b + 24 = g. Calculate the remainder when 49 + 525\/(-147) + 8\/14 is divided by b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*a**6*r**2 + 37665*a**3*r**2 + 2*a**2*r**2 + 72283*a*r**2 wrt a.\nAnswer: -360*a**3*r**2 + 225990*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001188 rounded to 7 dps?\nAnswer: -0.0000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-1*((-450)\/(-12))\/(-25).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -94762, -187897, -281034, -374173, -467314, -560457, -653602?\n\"Answer: -n**2 - 93132*n - 1629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 2\/91 (c) 3 (d) 0.16 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 206 and 5974?\nAnswer: 5974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 318479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 639 = -2*k + g, -5*k + 1565 = -g. Suppose -5*i - 99 + 413 = f, 5*i + 3*f - k = 0. What is the greatest common factor of i and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 1:35 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -43*q + 1636. Let d be a(38). Solve d*z + 32 - 26 = 3*m, -3*m + 9 = -3*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five eighths of a day?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 + (-4 - -13) - -5 - 13) + 23.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -19*m - 179. Calculate the remainder when 155 is divided by h(-14).\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 29*z - 69. Let h be c(3). Solve j + 5*j + h = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6366*l - 629*l**2 - 6364*l + 2424*l**2 + 12730*l.\nAnswer: 1795*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259873513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x + 18*c - 14*c + 48, 36 = -4*x - 4*c for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3398 + -3407.996. Let z = -0.4 + 10.4. Let f = z + w. Round f to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 370\/99 + -32\/9. Which is smaller: 0.2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 9*l**2 - 11*l + 5. Let t(y) = 4*y**2 - 5*y + 3. Suppose -3 = -4*q - 4*v + 45, 31 = 3*q + 2*v. Determine q*t(g) - 3*x(g).\nAnswer: g**2 - 2*g + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 11*f**2 + f - 14. Let y = 248 + -259. Let i be d(y). What is the nearest to 0.11 in -1, 0.1, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -54 - -59. Solve -4*v - 4*x = -32, 2*x - c*x = -3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185 = -x - 0*x. Let i = x + -595\/3. What is the common denominator of -121\/6 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 0 + 0)*(330*c**3 - 706*c**3 + 347*c**3).\nAnswer: 58*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of w**2 + w - 4. Let r be n(2). Suppose 5*q - 2*x = -r*x + 141, -2*q - 5*x + 45 = 0. Does 15 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 s when two letters picked without replacement from {s: 2, u: 12, x: 3}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1001, 2053, 3105, 4157?\n\"Answer: 1052*w - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3793790?\nAnswer: 2, 5, 7, 11, 13, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/53 - -577\/318. Factor -x*l**2 - 1\/3 + 13\/6*l.\nAnswer: -(l - 1)*(11*l - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, i: 3, y: 4}. Give prob of sequence yicy.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-492)\/(-36))\/(((-2)\/(-15))\/(-2)). Let m = o - -294. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(24\/7)*o\/o**5*(o\/o**(-2\/9))\/(o*o**(5\/3)) assuming o is positive.\nAnswer: o**(-496\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -8\/3 (b) 3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*p - 24 = -142*p. Put 24, -2, p, -62 in ascending order.\nAnswer: -62, -2, p, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4444 + 12340344?\nAnswer: 12400343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9433 is divided by 80?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*i + 2*z + 2644 = 0, 3*z = -5*i + 3294. What is the greatest common divisor of 60 and i?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 7:56 AM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p = 177 - 157. Suppose -2*b = 2*b - 20. Solve r + p*c = 4*r - b, c = -5*r - 9 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/((2\/10646)\/((-2)\/(-4))). Suppose -38956 + x = -10*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -t - 7 + 10, 0 = -3*t. Is 2 a factor of (-1)\/((-110)\/35 + p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/14 + 4\/14. Let f = -211 + 237. Suppose f = 10*d + 6. Does d = q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 1, -34, -85, -152, -235, -334?\nAnswer: -449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5341 (base 9) to base 5.\nAnswer: 111200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 249335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, t: 4}. Give prob of picking 1 v and 1 t.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wrmwzwrrzwz. Give prob of sequence rr.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 437240*v**3 + 6*v**2 - 2*v - 51095?\nAnswer: 2623440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 divided by 9226061.\nAnswer: 4\/709697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 4*t - 12 = 0, 4*j + 6 = 4*t - 3*t. Which is the second biggest value? (a) 3\/7 (b) 2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -4 + 1 + -2 + 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6da72 (base 15) in base 6?\nAnswer: 11300142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3886 a multiple of 186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 774 = 762 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*9\/(45\/5). Let o(x) be the second derivative of -x**5\/30 + x**4\/12 - x**3\/3 - 2*x. Let k(v) be the second derivative of o(v). Determine k(u).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (3\/(-18))\/(4\/164)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of 3*b**4\/28 - 23*b**3\/7 + 237*b**2\/14 - 171*b\/7 - 3598. Suppose y(l) = 0. Calculate l.\nAnswer: 1, 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {t: 8, s: 2, l: 8}?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 62767*q + 7845868. What is l(-125)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-3) + 28\/6. Suppose i*y = n + 209995, -n = -y + 13495 + 28500. Round y to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 + (-116)\/24)*-6. Suppose -4*z + 35 = -3*r - 20, 4*z - 49 = h*r. What is the greatest common factor of z and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*d - 64*d = -8734. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 319041662?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 80014177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -1580*n + 573549. What is o(363)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -11, -3, 0 in descending order.\nAnswer: 2, 0, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*a = 184*a - 694 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 35\/(-49)*(-4)\/10. What is the closest to 7 in -4, 0, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 divided by -1162?\nAnswer: 41\/1162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - u = -747, -375 = -2*s - 20*u + 19*u. What is the remainder when 474 is divided by s?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f. Let z(m) be the second derivative of -m**3\/6 - 45*m**2 + m - 45. Give z(o(r)).\nAnswer: r - 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(((-24)\/(-20))\/((-44)\/110))*(-708)\/20.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10860 rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00021426 to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -112.265 + 0.265. Let p = d - -104. Sort -0.4, 0.04, p in decreasing order.\nAnswer: 0.04, -0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = v + 18. Let k = 82\/5 + v. Let f = 0 + 0.1. What is the biggest value in -2, f, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -599, -503, -341, -119, 157, 481, 847?\nAnswer: 1249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9181 - -48044174\/5233. Let a = v + 88941\/104660. Find the common denominator of 73\/6 and a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 320 is divided by 173?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.48412112 - -3.485. What is p rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(0 - 3\/2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of 1\/12*l**4 - 9\/2*l**2 - 5\/3*l**3 + 5*l + 0. Let r(g) = -g. Let p(b) = 4*r(b) - y(b). Calculate p(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4*w - 19 = 0, i + 4*w - 12 = 5*i. Let y(r) = r - i + 2 - 1. Let c(b) = -2*b**2. Determine y(c(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 2 - 3)*(4*i + 0*i - 2*i) - i + 2*i + 0*i)*(21*i**2 - 10*i**2 - 9*i**2 + (1 - 1 - 2*i)*(-5*i + 4*i - i)) as g*i**3 + d*i**2 + a + y*i and give g.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + -882737265.\nAnswer: -882737265.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 + 31. Suppose 11 - 2 = 2*n - o, -t*o - 21 = -4*n. Suppose -3*l - 4 = -10. Solve -2*f = -3*y - 0*f - n, 12 = -5*y + l*f for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 0*m + 4*m + 0 - m - 3. Let x(i) = 2*i - 3. Let t be 52\/18 + (-72)\/(-648). Let f(k) = k + 4. Let y be f(-8). Give t*q(j) + y*x(j).\nAnswer: j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 684.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*s + 3*b + 325404 - 325425, 4*s + 2*b - 8 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 5*l**3 - 6*l. Let r(p) = -154*p**3 + 187*p. Calculate -187*g(i) - 6*r(i).\nAnswer: -11*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2412.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185*a - 72*a - 61*a - 2*a**3 + 3*a**3 - 52*a.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10 (b) 1 (c) 0.08 (d) -35 (e) -5 (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l + 3. Let s be q(0). Suppose 4*b = -4*p - 16, -20 = -s*b + 5*b + 5*p. Do b and -12 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -9, 1, -6, -1 in decreasing order.\nAnswer: 4, 1, -1, -4, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -234539*c**4 + 234539*c**4 - 192*c**5 - 2*c + c**5 + 2*c + (-2*c - 2*c**2 + 2*c)*(-c**3 - 2*c**3 + c**3).\nAnswer: -187*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**4\/9 - 70*i**3\/9 + 22*i**2\/3 + 70*i\/9 - 68\/9 = 0. What is i?\nAnswer: -1, 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -100101111 (base 3) in base 15?\nAnswer: -2064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v + 8*v + 0*v + (-2*v - 2 + 2)*(0 + 2 - 1) to p*v + o and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, o: 3, y: 2, h: 5, t: 8}. What is prob of sequence ythh?\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of 1\/9*r**3 + 0*r**4 + 0*r + 0 + 3*r**2 - 1\/90*r**5. Factor i(s).\nAnswer: -2*(s - 1)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*l + 25*l - 51*l + 7)*(-3*l + 3*l + 2*l**3).\nAnswer: -4*l**4 + 14*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684)*-2*-5)**2*-2*-4*6.\nAnswer: 3283200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 864.7984kg to micrograms.\nAnswer: 864798400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 4:48 PM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28171, -28179, -28193, -28213, -28239, -28271, -28309?\nAnswer: -28353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nudz when four letters picked without replacement from {d: 1, s: 3, u: 5, z: 4, n: 1}?\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(-3 + 5 + -3). Let t be (-24)\/(-16) + (0 - m\/2). Solve 3 = w - c - 0, 0 = -t*c + 2 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 4*h**2 + 3*h**2 - 9*h**2. Let a(r) = 11*r. Calculate a(s(p)).\nAnswer: -22*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -64*a + 3. Let n(x) = -12*x. Give n(m(l)).\nAnswer: 768*l - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 254095798 to the nearest integer?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 45.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + -12. Let y = -801 - -807. Solve y*r = j*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 0*q**2 + 7*q**2 - 3*q**2. Let l(o) = -2. Let b(j) = 3*j**2 - 9. Let z(s) = 2*b(s) - 9*l(s). Calculate z(f(g)).\nAnswer: 96*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 314 - 312. Let v = -2865\/4 + 712. What is the nearest to g in -5, v, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4*u + 24 = 0, t = -4*t - 5*u + 20. What is the units digit of (t\/((-1)\/2))\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 >= 1024184?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by (-47 - -49 - (-1 + 2)*-29)*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c - 4*c + 7*c + 4*c + 4*c - 4*c + (-5 + 0 + 1)*(2*c - c - 3*c).\nAnswer: 14*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.14 - 0.04. What is the biggest value in -4, 0, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aee when three letters picked without replacement from {a: 4, e: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6649454969074 less than -0.02?\nAnswer: 1.6449454969074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 675 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(1300) + 2 + -2 + ((sqrt(1300) + sqrt(1300)*-5 + sqrt(1300))*5 - sqrt(1300) - sqrt(1300)))**2 + 2.\nAnswer: -1280*sqrt(13) + 332818","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -57 + 7. Let v = n - -137. Let h = v + -48. Is 39 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 145 = -5*p, 5*z - 3*p + 136 = -5*p. Let o be 1 + -1*(-2 - -1). Let t = o - z. What is the remainder when 109 is divided by t?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*a + 96 = 6*t, 0 = t - 3*a - 24. Solve -13*q + 11*q - t = -5*d, -4*q = -3*d + 20 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17.77 * 0.4\nAnswer: -7.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -2\/15, 2, 0.08?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) -1 (c) 5 (d) -140\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 450 divide 365181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-45))\/(7\/(-5))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17014\/3 + -17015\/3. What is the third biggest value in 0.15, f, 2\/3, -3\/7, 12\/5?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -3\/11, 30, -0.308?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/8*7)\/(7\/(-28))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/2)\/((-6)\/24). Let m be 1\/(-3) + (-72)\/(-105). Let n = m + -1\/15. Which is the biggest value? (a) -5\/6 (b) n (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10405c4 (base 13) to base 9\nAnswer: -10262205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3565013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(8) + 2).\nAnswer: 10 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4705 and 2955?\nAnswer: 2780655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -2. Suppose 42 = -q*t + 2*t. What are the prime factors of t?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2102*v**3 + 617*v**2 - 26*v - 130. Let h(b) = 2*b + 10. Let n(s) = -26*h(s) - 2*x(s). What is the third derivative of n(f) wrt f?\nAnswer: 25224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137.38 times 5.5?\nAnswer: 755.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -4*p - 15. Give m(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 52\/1)\/2. Let c = 28 - u. Solve -3*x - 2 = -c*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ohs when three letters picked without replacement from {r: 2, h: 3, o: 3, s: 8}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 14 - (11 - 125 - -41).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 761171 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 795 - 223. Suppose b = 3*g + 8*g. What is the greatest common divisor of g and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*4*((sqrt(272) - 3*(sqrt(272) + 0) - (-4 + sqrt(272) + 2)) + 4))**2 + 5.\nAnswer: -9216*sqrt(17) + 158981","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jn when two letters picked without replacement from nkppjkktjnjk?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 61 - 34. Suppose 2*h + 19 = 2*l - 31, -3*h = -l + d. What is the remainder when 71 is divided by l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -n*o**6 + 2710121*n*o**5 + 34*n*o**2 + 4*n*o + 2*n + 2*o**2 - 14507*o + 23 wrt o?\nAnswer: -120*n*o**3 + 162607260*n*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 times 22?\nAnswer: 1.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 734, 1496, 2282, 3092, 3926, 4784, 5666?\nAnswer: 6572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 361993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -16*l**2 - 5*l - 5. Let d(p) = 17*p**2 + 6*p + 6. Let o(g) = -5*d(g) - 6*k(g). Let a(u) = 6*u. Calculate a(o(n)).\nAnswer: 66*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, 1, 6\/12665?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g + 10. Let n be b(-6). Calculate the common denominator of n\/(-16) + 1 + (2 - 2) and 97\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxix when four letters picked without replacement from ixixixx?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 5, -5, -80, 65, 4.\nAnswer: -80, -5, -4, -1, 4, 5, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -652 - -2565\/4. What is the common denominator of a and (1\/(-44))\/(1\/(-106))?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -459, 1\/3, 2\/201 in increasing order.\nAnswer: -459, 2\/201, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 82 + 26. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 7 + 7 - 14 - 173000*q. Let s be c(-1). Round s to the nearest ten thousand.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - g + k - 5, -10 = -5*g - 2*k. Solve -i + g*i = -4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**4 + 3*d**4 + 0*d**4 - 3*d**4 + 2*d**4 + 2*d**4 + (-d**2 + d**2 + 5*d**3)*(-2*d + 3*d + d).\nAnswer: 14*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -7*k + 8*k. Solve 4*z = -5*x - k, 4*z - 8 = 3*x + 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -132 divided by -3262530?\nAnswer: 22\/543755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 632 is divided by 141?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-2) - (3553\/238 + -13).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 4:58 AM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1140\/(-5320)*(-35)\/60. Let l = -10 + 6. What is the closest to -2 in -9, l, f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -50*q - 677. Give y(-14).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 9 + k - k - 2*k. Suppose 30 = 11*o - 47. What is h(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1550249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 175737847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of 134*l**7\/105 + 371*l**4\/12 + 3*l**2 + 173. Find the second derivative of n(h) wrt h.\nAnswer: 3216*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*r + 13*r + r)*(-19*r**2 + 2102 - 2102) to c*r**3 + b*r + x*r**2 + v and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, u: 4, n: 5, m: 3, f: 3, z: 1}. What is prob of sequence un?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 7:11 AM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v - 13 - 2 - 3*v**2 + 16. Let f be (6\/9)\/(54\/(-243)). Let l(t) = t**3 - 2*t**2 + 2*t. What is f*l(w) + 2*k(w)?\nAnswer: -3*w**3 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -189*x**4 + 29*x**3 - 13752*x**2 wrt x?\nAnswer: -4536*x + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 444\/7 - 15117\/238. Let z = -0.64 - -0.24. What is the nearest to -0.2 in -1, z, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/((-24)\/4)*(-6)\/(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (147\/(-51) - -3) + (-870)\/(-1275).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*f - 0*f - 4*d, -2*d + 11 = -3*f. Let g be (3 - 1) + (f - -7). Let c(w) = w**3 - 5*w**2 + 4*w - 6. Determine c(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 122906948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2106))\/((sqrt(12)\/sqrt(2))\/sqrt(3)) - ((2*sqrt(65)*-3)\/(sqrt(5)*-1*6))**2.\nAnswer: -13 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.01, -64327, 3\/5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -8633583 - -0.1\nAnswer: -8633582.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -172 - -165. Calculate the remainder when (-2 - 74)*q\/(112\/68) is divided by 54.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 542555508 to the nearest 1000000.\nAnswer: 543000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 96800 rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/104 and -27\/32?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*3\/6 - (3 + -1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5906580 to the power of 1\/3, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c**3 + 0*c**3 + 2*c**3)*(-3*c - 3*c + 5*c) + (-29*c + 104 + 53*c - 25*c)*(-47*c**3 + 26 - 26).\nAnswer: 50*c**4 - 4888*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2\/5 + 246399*d\/5 + 147834.\nAnswer: 3*(d + 3)*(d + 82130)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/14 + 4\/(-6). Put -0.2, -5, t in increasing order.\nAnswer: -5, -0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -850 - -456. Find the common denominator of -59\/2 and t\/(-96) + (-2)\/3.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 3, -4, -1.3, -1, -372?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/2088 and 59\/46?\nAnswer: 48024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from leofilo. What is prob of picking 1 o and 1 i?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 978.9073 centuries?\nAnswer: 9789.073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**5\/7 - 1679719*n**4\/7 + 3359442*n**3\/7.\nAnswer: -n**3*(n - 2)*(n + 1679721)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1, -1\/6, -4\/3, -0.4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5147712 by -35748.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**(1\/3)*v*v)**(-14)\/(v*v\/(v\/(v**0\/v)))**(9\/5) assuming v is positive.\nAnswer: v**(-154\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/(-250)*(-10)\/17.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2536)\/(-8242) - (3 + 204\/(-182)).\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d**2 - 49 - d - 102 + 1.\nAnswer: -5*d**2 - d - 150","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -830*s + 10557*s - 1108878 = 0 for s.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 3737953106.\nAnswer: -3737953106.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001746 rounded to 4 decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 66 + -69. Let f be (-4 + 4)\/(1 + -2 - j). Let x(y) = -24 + f*y + y + 26 + 0*y. Give x(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*z - 19*z - 12*z.\nAnswer: -55*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 29 + 111. Is 2321\/7 + o\/49 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 0*t**2 + 6*t**2 - 4*t**2. Let f(p) be the third derivative of -p**5\/60 - p**2. Calculate g(f(k)).\nAnswer: 2*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1215 - 1?\nAnswer: -1216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -16754842 divided by -8377421\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 1 = -10 - 4, 3*d - 7*d - 21 = 12*n - d + 264 for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4961?\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + 23*g + 10. Let d be j(-10). Let i = -115 - d. Solve 10 = -0*m + i*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 3*n**4 - 2*n**4 + 2*n**3 + 0*n**4 + 3*n**2 + 0*n**3 to t*n**2 + c*n + f*n**3 + p + j*n**4 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 1:33 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 6*t**2 - 9*t + 12. What is the units digit of b(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1)*c**(-4\/15))\/(c*c**(-6)*c)**(5\/8) assuming c is positive.\nAnswer: c**(37\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -8*n**3 + n**2 + 1. Let c(f) = 4*f**3 - 1. Determine 5*c(x) + 2*z(x).\nAnswer: 4*x**3 + 2*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 54*v**2 + 30*v. Calculate g(1).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, i: 4, w: 9}. Give prob of sequence iw.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2701 and 438.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -208*f - 16. Let y be c(-9). Suppose -5*o = 11*o - y. Calculate the greatest common factor of o and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/24*(-9)\/(-105)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 1.7 (c) -3 (d) -106232 (e) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 17 = 8*k. Solve -7 = k*u + 8 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 227 and 28920481?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(468) + sqrt(13)*-2*1 + 5.\nAnswer: 5 + 22*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 371*k + 11008 = -331*k - 926 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of 0*v**5 - 2 + 1\/7*v**7 + 0*v**4 - 2\/3*v**3 + 0*v**6 + 0*v + 0*v**2. What is the third derivative of m(y) wrt y?\nAnswer: 120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 7*t - 6. Let m be k(-8). Suppose 0 = -m*z - 2, -1 = r + 4*z + 1. Factor -r + p**2 - 4 + 5.\nAnswer: (p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = l - 6324, -4*y + 2053 = -4*l - 4251. Let w = y + -1044. Let d be (-1)\/(-4) - 118\/w. Which is smaller: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o + 2*z = 42, -2*o + 2*z - 1 - 3 = 2*o + 24 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*h = 237. Let u(s) = -29*s + 5. Let a be u(0). Suppose 3*t + h - 616 = -3*x, -a*x = 2*t - 910. Calculate the greatest common divisor of 23 and x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13\/4? (a) -168\/43 (b) 5 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18901*s**2 - 22662*s wrt s?\nAnswer: -37802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -225 - -250. Let m(w) = -275*w + 25. Let o(c) = 23*c - 2. What is s*o(h) + 2*m(h)?\nAnswer: 25*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -x**4\/8 - 2*x**3\/3 + 499*x**2. Suppose -p = -4*n + 17, n = -4*p - 15 - 2. Give k(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 12*q**2 - 5*q - 59. What is l(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4*v - 7. Let w be t(3). What is the second derivative of -7*u + 0*u + 0*u + 3*u**w wrt u?\nAnswer: 60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -29, 0.3, 51?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-1)\/r))**(8\/3)\/(r**(1\/3))**(-2\/145) assuming r is positive.\nAnswer: r**(3482\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -79 + 84. Solve t - q*a = -10 - 0, -5*a = -5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1956\/7 - -280. Which is the nearest to -2? (a) -2 (b) 2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54 + -30. Let q be 6\/(-5)*(-80)\/t. Suppose -4*b - 2 = -q*u - 10, 6 = 3*u + b. What is the greatest common divisor of u and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 94\/(-4) + 2\/(-4). Let l be ((-1)\/4)\/(3\/k). Suppose -2\/9*u**l - 2\/9 + 4\/9*u = 0. What is u?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 7. Suppose -3*h + 4*q + 14 = 0, 0 = 5*h + 8*q - 11*q - 38. Solve 5*v = 4*s - h, -3*v + s - 9 = -b*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-3))\/(12\/6066). Suppose 666*p - 667*p = 241. Let u = p + g. What is the greatest common divisor of u and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 195039609*p**2 - 119201524 wrt p.\nAnswer: 390079218*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1229\/10 - 123. Which is the smallest value? (a) 1 (b) o (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 726*r**2 - 2 - 135*r**2 + 382*r**2.\nAnswer: 973*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -183 - -1.72.\nAnswer: -181.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -115714*w**2. Let v(x) = 6*x**2. Give n(v(m)).\nAnswer: -4165704*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hpppppphhnpyphp. What is prob of sequence pny?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-168)\/18)\/(-14)*(-54)\/96.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*j + 101 - 53 - 286 - 229)*(4 - 3 - 3).\nAnswer: 18*j + 934","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.078 + 33.946. Let d = 0.076 + n. Round d to zero dps.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - l + 0)*((3 + 0 - 5)*(-9*l + 84 - 84) + (-l + l - 2*l)*(2 - 2 - 4)).\nAnswer: -26*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 76*t - 241*t + 3879 - 1175 = 350*t, 5*t = d + 11 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -0*r - 20. Let j = 40 - 42. Let q = j + 21. Calculate the remainder when q is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 431531 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2 - g**3 + 266*g - 1 - 11*g**2 - 269*g. Calculate c(-11).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1696314 and 768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9e7 + 14?\nAnswer: -9d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 7:51 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**3*t)**(-29) assuming t is positive.\nAnswer: t**(-145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6314866 and 232.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0692452287 - -0.069248. What is t rounded to seven decimal places?\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -22575.\nAnswer: 90300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -0.07 (b) 65 (c) 2\/9 (d) 1\/2 (e) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 550, 1091, 1608, 2089, 2522?\n\"Answer: -2*l**3 + 555*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y = -20*y + 12. What is the second biggest value in y, 0.1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14668 and 118693?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62587.\nAnswer: 7, 8941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/4*p**2 - 23\/2*p + 1\/4*p**3 - 10.\nAnswer: (p - 10)*(p + 1)*(p + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-7 + 4 + 12 + -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -154192725*c**3*j*y**3 - 16*c**2*j*y - 9*c**2*j + 1060*c**2*y**3 - c**2*y + 10*y**2 wrt c.\nAnswer: -925156350*j*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b**3 + 0*b**3 + 6*b**3 - 7 + b - 8*b**3 + b**2 + 5 - b**4 to t*b + c*b**3 + i*b**4 + l*b**2 + u and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0)**(-18)*(d*d**1\/d*d)**(2\/7)*(d*d*(d**(-1)*d)\/d)**(-23)*d\/(d\/(d\/(d*d*d\/(d\/d**(-2\/7))*d)*d*d))*d\/(d\/(d**(-4)*d))*d assuming d is positive.\nAnswer: d**(-169\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -10 (b) -0.3 (c) 3 (d) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -61 - -111. Suppose 5*t = -5*b + d, t + 2 - 57 = -4*b. What is the remainder when 28 is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 22*c**2 + 31*c - 29. Let m be t(-21). Let a = m - -241. Let g(u) = -3*u**2 - 2*u + 4. Let b(w) = -3*w**2 - 2*w + 5. Give a*b(v) - 3*g(v).\nAnswer: 3*v**2 + 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3 - 2\/3*p**2 + 2*p.\nAnswer: -2*(p - 2)*(p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28\/99 - -2\/33. What is the second biggest value in w, -17, 0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and 4727272576692.\nAnswer: 4727272576693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152 - 152 + 65*b**2 - 65*b**2 + b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 2 + 1)*(1 + 1 - 4) + 5 + 2 - 4 + 3 - 4 + 0)*(-2 + 2 - 2*b) in the form k*b + t and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -d - 2*c - c, -d = -c + 8. Let p be 3 + -3 - 3 - d. Suppose 3 = -0*l - l - 2*z, -p*z = 2*l. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -14*o**3 + 6*o**2 + 4*o. Let d = -8048 - -8031. Let l(r) = 43*r**3 - 17*r**2 - 11*r. Give d*j(b) - 6*l(b).\nAnswer: -20*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of d**4\/6 - 646*d**3\/9 + 8640*d**2 + 17496*d + 1059. Let l(i) = 0. Calculate i.\nAnswer: -1, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s - 3*f - 4, 3*s + 12*f + 21 = 15*f for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -10*((-1)\/6 - (-7)\/(-21)). Factor -3\/4*s**4 + 1\/4 - 1\/2*s**3 - 1\/4*s**a + 3\/4*s + 1\/2*s**2.\nAnswer: -(s - 1)*(s + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -557032*z**2 - 41*z + 5. Let t be l(5). Round t to the nearest one hundred thousand.\nAnswer: -13900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4724*q**2 - 5 - 9464*q**2 + 3*q**3 + q + 4734*q**2 - 2*q**3. Let d = -153 + 159. What is l(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xvws when four letters picked without replacement from {w: 1, p: 1, v: 1, s: 1, x: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of p**3\/3 - p**2\/2 + 2*p + 11. Let n be 7\/3 - (-24)\/36. Calculate r(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j + 26. Let f be p(17). Let s(v) = -170*v - 18. Let y be s(-16). What is the common denominator of y\/(-924) + f\/(-6) and 81\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.706 - 1.694. What is the smallest value in -1, 0.1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97, 369, 815, 1429, 2205, 3137, 4219, 5445?\nAnswer: 6809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 6192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 19 = 6, 0 = y - 3*p - 20. Let u = y - 11. Let q(h) = 608*h - 5 - 1200*h + 588*h. Give q(u).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - ((-14)\/(-10))\/((-7)\/(-35)). Let n(v) = -37036*v**3 + 4*v**2 - 13*v + 2. Let a be n(g). What is a rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, o: 1, c: 1, r: 3, z: 2, l: 2}. What is prob of sequence lc?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 14) to base 16.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0302 + 190.4698. Let q = s + -150. Let b = 35 - q. What is b rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.8, -21, -5 in decreasing order.\nAnswer: 1.8, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(-30)*36\/(-378)*(-36)\/3.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 5*r**3 + 2*r**2 + 2. Let l(n) = 25*n**3 + 11*n**2 + 11. Give 2*l(j) - 11*o(j).\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 398*t**3 - 2*t**2 - t. Let g be y(-1). Is 2*(g\/(-2) + -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of 7*j**5\/20 + 5*j**2. Let g be h(1). Calculate the greatest common factor of 7 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -3 (c) 0.5 (d) 0.3 (e) 2.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 36\/91633535 and -43\/109960242.\nAnswer: 549801210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 67560*q - 2972654. Determine f(44).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39\/133 + 11\/19. Factor -1\/7 - i*m - 1\/7*m**2.\nAnswer: -(m + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21820766?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 10 = -8*i. Suppose -i*g - 256 = -12*g. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a centimeter in micrometers?\nAnswer: 11000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 9\/8, 0.00839, -140?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 196, 11, 5, -5, -1, 10\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -219*p + 11005. Calculate k(50).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -64 - 25661036?\nAnswer: -25661122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1617162294?\nAnswer: 2, 3, 11, 1931, 12689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 7 = d, 4*m - 3 - 3 = -2*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (6 - (25 + -3)) + 7.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 5*t - 30 - 119, 0 = -5*w - 5*t + 825. What is the remainder when 2026 is divided by w?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1558*o + 2*o**2 + o**4 - 177*o + 750*o - 458*o - o**3 in the form j*o**2 + u*o + c*o**4 + w + h*o**3 and give u.\nAnswer: -1443","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (475\/57*450)\/((-2)\/(-5664)). Round q to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 112 and 2\/(-6) + (-7315)\/(-57).\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296 a factor of 81388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -115, -413, -879, -1513, -2315, -3285, -4423?\nAnswer: -5729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -17743, 1, 3, -110 in decreasing order.\nAnswer: 3, 1, -110, -17743","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -5*w**2 + 6*w. Let i(a) = 6*a. Let s(k) = -2*i(k) + 2*o(k). Let x = 6 - 4. Let f(c) = 3*c**2 - 5*c**x - 5*c + 5*c. Calculate s(f(l)).\nAnswer: -40*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 7. Let t = 4 + -6. Let q = -2.1 - t. Sort q, 0, y.\nAnswer: q, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -144474 > -144587?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1085a53 (base 11) to base 8.\nAnswer: -7170244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -301.68 - -310. Let j = w - 2.6. What is j rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1548 and 88418922.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/7, -3\/37, -4, 3\/3875 in increasing order.\nAnswer: -4, -1, -3\/37, 3\/3875, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1803, -1806, -1809, -1812?\n\"Answer: -3*q - 1800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-134)\/(-8) + (-1)\/(-4). Let h = b - 33. Calculate the least common multiple of 14 and (h + 6)*(-12)\/10.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 9, v: 10}. Give prob of picking 1 v and 1 z.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 5*q - 585, l + 4*q - 356 = 4*l. Let f = 335\/3 + l. Which is the second biggest value? (a) 2\/11 (b) -17 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -263a71?\nAnswer: -263a74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 29354 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 6:14 AM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*i + 11 + 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 843*u - 48440. What is r(54)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 12) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (85 + -29 + (0 - -21)).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -340?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/2301 and -59\/39.\nAnswer: 2301","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-3)*12\/8. Let j = c - -3. Let s(z) = -9*z**3 + 4*z**2 + 7*z + 2. Let g(a) = -5*a**3 + 2*a**2 + 4*a + 1. Let l(y) = -5*g(y) + 3*s(y). What is l(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3437 + 234. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31983 is divided by 15715?\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ud when two letters picked without replacement from {u: 10, d: 2}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 + -31. Is -57 > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7868907?\nAnswer: 3, 19, 5113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 68*g - 15. Is c(14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2051 divide 7232527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 403\/1338 + -30\/223. Let j(n) be the second derivative of -10*n + b*n**3 + 1\/2*n**2 + 5\/6*n**4 + 0. What is j(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 71960, 0, -184 in decreasing order.\nAnswer: 71960, 0, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 7*m**2 + 5*m - 5. Let g(v) = 13 + 10 - v**2 - 19 - 12*v. Let y be g(-12). Suppose 26 = y*q + 6. Let s(x) = x**2 + x - 1. What is q*s(w) - b(w)?\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 330\/(-88)*(-6)\/(-27).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*w = -708462, -19*w = -v - 24*w + 708420. What is v rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - f + 2)*(3 + 0 - 5)*(-4 + 4 - 2)*(11 - 4 - 3)*(1 - 2 - 1) as l*f + v and give l.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(6\/5)*o**10)\/(o**(-20)*o**4))**8 assuming o is positive.\nAnswer: o**(1088\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100000111001 (base 2) to base 10.\nAnswer: 6201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.6 - -4. Let m be 28\/13 - 6*5\/15. Let g be (-40)\/(-42) - 12\/42. What is the second smallest value in m, g, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22685 + 24611. What is the lowest common multiple of 27 and f?\nAnswer: 5778","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*l - 0*l. Let p be (1\/(-1))\/(11\/(-2)). Which is the nearest to -2? (a) p (b) 0.4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of x**6\/24 - 35*x**3\/3 + x**2 + 2*x - 104. Let j(r) be the second derivative of c(r). Differentiate j(v) wrt v.\nAnswer: 15*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 43246*f. Let z(c) = -68*c + 2. Calculate a(z(j)).\nAnswer: -2940728*j + 86492","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/38 and -7\/2426153.\nAnswer: 92193814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -548*x**2 + 4164*x - 6136.\nAnswer: -4*(x - 2)*(137*x - 767)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - (0 + 6) - 5) + -10.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10242 (base 11) to base 16\nAnswer: 3a51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108767.\nAnswer: 23, 4729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -3. Suppose 3*y = z*y + 3. Factor 0*n**2 + 6*n**y - 4*n**2 - 4*n**3 + 2*n.\nAnswer: 2*n*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 566 + -360. Let u = j + -147. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -339 - -342. Suppose 0 = 9*g - 7*g - 10. Suppose 3*t - 4*i + 17 = 0, g*t + 4*i - 5*i + 17 = 0. Put t, -0.2, b, 0 in decreasing order.\nAnswer: b, 0, -0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 3*t - 882. Suppose 5*v - 459 = t. List the prime factors of v.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1454029262 a multiple of 763?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11854462 = 126*k + 35*k - 2401605. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -81.18 - 359.93. Let o = j + 448. What is o rounded to 1 decimal place?\nAnswer: 6.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33 + 57*u + 33 to s + x*u and give x.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 382.399992674 + -382.4. What is v rounded to 7 dps?\nAnswer: -0.0000073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29464.08475 + -0.5.\nAnswer: 29463.58475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + 10)*(-8)\/(-16) + 5. Let n be -1 - -121 - (4 - 4). Suppose -o + 2*v + 20 = -2*v, 3*o + 3*v = n. What is the greatest common factor of q and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 - 4\/(-6)*3. Let y(k) be the second derivative of k**5\/20 + k**4\/4 + k**3\/2 + k**2\/2 - 35*k + 1. Let q be y(z). Is q at most as big as 2\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -296*v**3 - v**2 + 1. Let g be i(3). What is g rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -16, -37, -76, -139?\nAnswer: -232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 63392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -27*n**2 + 2*n - 22. Let g be y(-8). Let t = g + 3715. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1*(sqrt(76) - (sqrt(76) + 1)*-4)**2.\nAnswer: 80*sqrt(19) + 1918","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 101*k*o**3*y**3 + 4292*k*o**3 - 10*o**3*y**2 - 224*o*y**3 - 683*y**2 wrt k.\nAnswer: 101*o**3*y**3 + 4292*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/21 + (-17)\/(-3). Let x be (-231)\/(-22)*16\/h. Let k = x + -14. Calculate the highest common factor of 70 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -49 (b) 5 (c) -2\/3 (d) 22 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -5*y - 223. Let c be n(-47). What is the highest common divisor of 564 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in 0.2, -6785, 0.36?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3971 and 170031.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 41 * -28.\nAnswer: -1148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 5*z + 95 = 0, c = -0*c + 2*z + 14. Solve 0 = n + 3*n + c for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1636 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: Let q be (-2 - -6) + (-1827)\/36 + 49. Let y be ((-39)\/(-26))\/(1\/2). What is b in 4 - 8*b**y + 14*b**2 + q*b**4 - 1\/4*b**5 - 12*b = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14471256, 14471255, 14471254, 14471253, 14471252?\nAnswer: 14471251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 58.12439474 to 0 dps.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 1:57 PM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, e: 8, c: 4}. Give prob of picking 1 c and 1 t.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 32937178 a multiple of 822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7033 is divided by 106.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 18 = -4*q, -t + 0*q = -2*q. Let u(z) = -5*z - z + z**2 + 5 + 0*z**2. Let b be u(t). Solve 2*p - 5*r = p - 25, -3*r = b*p + 13 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 831 to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -90 - -92 - (-8 - -5 - -18)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 260, 268, 280, 296, 316?\nAnswer: 340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -56*k + 3. Let s be o(-6). Let z(m) = 3*m + 267. Let h be z(-17). Let l = s - h. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29950?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 16.8. Suppose 9 + 8 = -17*u - 68. What is the second biggest value in -0.3, u, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 4. Let m(z) = 1. Let g(f) = -20*m(f) + 5*u(f). Let b(w) = 7*w + 1. Let r(x) = -216*x - 32. Let q(a) = -32*b(a) - r(a). Give g(q(h)).\nAnswer: -320*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7504884.\nAnswer: 2, 3, 208469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, f: 6, n: 4, d: 3, m: 2}. Give prob of sequence mf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*c - 5*i, 3*i - 7 + 33 = 5*c. Factor 1\/2*j + 1\/2*j**5 + 0*j**2 + 0*j**c + 0 - j**3.\nAnswer: j*(j - 1)**2*(j + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 1864*h - 119152. Determine a(64).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 2 + -8 + (16 - (12 - -4)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 3, -6179, 297.\nAnswer: -6179, 3, 34, 297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - i - i)*(8*i - 5*i + 7*i)*(11*i + 58*i - 11*i).\nAnswer: 580*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 1. Let p(z) = z**3 - 12*z - 21. Let w be p(5). Let c(m) = m**2 + 34*m + 300. Let l(i) = w*t(i) - 4*c(i). Factor l(r).\nAnswer: -4*(r + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6561912.\nAnswer: 2, 3, 7, 139, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*h**3*k**4 + 202*h**3 - 11*h**2*k**2 + 6*h**2 - 185137*k**5 wrt k.\nAnswer: 672*h**3*k - 11108220*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -155\/6039714 and -85\/264882.\nAnswer: 791202534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3)*k*k**(-12\/11))\/(((k**(2\/3)\/k)\/k)\/k*k)**(-3\/14) assuming k is positive.\nAnswer: k**(-260\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1547 less than 3590423?\nAnswer: 3590420.8453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -3*h - 4*l - 5, 2*h - 5*l - 19 = 0. Put 2, h, 5 in increasing order.\nAnswer: h, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 13) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - (49 + -17)) + (-1 - -2).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2059 - 1. Suppose -42*x + l = -35*x. List the prime factors of x.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24dff (base 16) in base 9?\nAnswer: -250161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (3 + -1) - (-63 - -69)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 217105241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - (27 - 54) - (2 - -7 - 3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -70109*w**3 - 2917*w**2 - w + 23630292?\nAnswer: -420654*w - 5834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -705 = -2*u + 555. Let p = 2 + 2. Suppose a + p*a = u. Calculate the greatest common factor of a and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + 4663*g - 6. Let h(y) = 9*y**2 + 42742*y - 54. Let f(u) = 6*h(u) - 55*m(u). Let q = -17 - -5. Determine f(q).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67 - t + 67 - 134.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/649 and -3\/1475.\nAnswer: 16225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13055 = -5*l - 5*f, -15*f = -4*l - 14*f + 10434. List the prime factors of l.\nAnswer: 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2012*b**2 - 4*b - 2. Calculate the remainder when l(-1) is divided by 84.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57 + -2. List the prime factors of i.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.057 - -24.057. Let y = 24.061 - s. Round y to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/217 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 15. Let v = 43 - u. Let j = -39.9993 + v. What is j rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32373 and 585?\nAnswer: 2104245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/8 - (-4 - (-20)\/16). Let g(s) be the second derivative of 1\/16*s**4 - 3*s + 0 + 1\/80*s**5 - 1\/24*s**v - 1\/40*s**6 + 0*s**2. Factor g(m).\nAnswer: -m*(m - 1)*(m + 1)*(3*m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-129)\/(-595980)*-35*-4?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5346?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 10*n - 12 = 0. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3534554 (base 6) to base 5\nAnswer: 21340224","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 5. Let o(b) = -2 - 5 + b**3 + 7*b**2 + 3 + 11. Calculate o(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 108*j + 169*j - 21*j + 1242 - 218 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15*h**2*n*t + 17*h*n**3*t**3 + h*n**3 + 1677*n**3*t + n**2*t**3 wrt h.\nAnswer: 30*h*n*t + 17*n**3*t**3 + n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -4*u - 18, -4*u - 3*a + 2 = 4. Let s = -11 - u. Let k = 78 - s. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 854*d*j**5 - d*j**4 + 769*d + 2*j wrt j.\nAnswer: 17080*d*j**3 - 12*d*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/17 - 12*j**2 + 5400*j\/17 - 10000\/17.\nAnswer: 2*(j - 50)**2*(j - 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pmmpuupszppmzpmmwuz. What is prob of sequence uwu?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*w - 4*o - 988, -w + 4*o + 508 = 0. Let g(k) = -w + 2*k - k**2 - 9*k + 486. Determine g(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5*x = -6, 3 - 4 = l - 2*x. Suppose 3*d - l = 2*d. Suppose 2*t - d*t + 95 = 0. Calculate the greatest common divisor of 133 and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (134 - 112) + (6 - -7)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 74587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n**(-1)\/n)\/n)\/n**(-5\/6)*(n\/(n*(n**(-2\/29)\/n)\/n))\/(n\/n**(-2\/9)))\/((n**(3\/2)\/n**1)\/((n**(-2\/7)*n)\/((n**(-5)*n)\/n))) assuming n is positive.\nAnswer: n**(8942\/1827)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, q: 2, z: 1, v: 1, i: 4}. What is prob of sequence zvq?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(91) - 2*sqrt(91))*1)\/((-1*sqrt(77))\/sqrt(11)))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101 (base 4) to base 10.\nAnswer: -273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bm when two letters picked without replacement from ebeewetmw?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 860402 to the power of 1\/2, to the nearest integer?\nAnswer: 928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**3 + 54544*s - 27319*s - 27265*s.\nAnswer: 3*s**3 - 40*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 4670 = 20502. Suppose -11*j + 5205 = -c. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3659*i - 1522373. Determine m(416).\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**3 - 3*s**2 - s + 3. Let a be (57\/95)\/(1\/5). Let v be q(a). Let v + 24*p**3 + 66*p**2 - 5*p**4 + p**4 + 86*p + 7*p**4 - 14*p = 0. What is p?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 6*a + 10. Let p = 1 - 0. What is the third smallest value in p, a, 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 5*c = 58 + 82 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1540, -2848, -4156, -5464?\nAnswer: -6772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*u = -200. Suppose 19*a - u = 14*a. What is the highest common divisor of a and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2\/5 (b) 494542 (c) 5.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1897 + 3?\nAnswer: -1894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + (-10 - -12)*2. Let b(y) be the third derivative of 0 - 1\/70*y**7 + 0*y**3 + x*y + 1\/20*y**5 + 1\/8*y**4 - 1\/40*y**6 + 8*y**2. Factor b(a).\nAnswer: -3*a*(a - 1)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1717*u**5 - 12*u**3 - 3*u**2 - 13436*u wrt u.\nAnswer: 103020*u**2 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 173791 or 173792?\nAnswer: 173791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 3*i + 3. Let p be k(2). Suppose 1 = o - 0. Suppose p*j - 6 = -o. Sort j, 3, -5.\nAnswer: -5, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - 9\/3 - -10. Suppose -8*h - 18 = -5*h. Let b be d + h*(-4)\/(-6). Solve -15 = -i + 2*j - b*j, 0 = j - 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4564987 divided by -93163\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 12:06 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of 4439*p**6\/30 + p**4\/12 - 346*p**3\/3 - 226*p. What is the third derivative of c(u) wrt u?\nAnswer: 106536*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16883859 and 1839?\nAnswer: 1839","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 5*p**3 + 5*p**2 + 1. Let x(r) = -5*r**3 - 6*r**2 - 1. Let q(y) = -6*d(y) - 5*x(y). Find the first derivative of q(n) wrt n.\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8355865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**2 + 281*k\/4 - 7\/2 = 0. What is k?\nAnswer: 1\/20, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3407961 microseconds in seconds?\nAnswer: 0.0000003407961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -1. Suppose -11*t + 118 = 19. Suppose -24 = -4*h + y, 5*h - 6*y = -t*y + 13. Sort 2, i, h in decreasing order.\nAnswer: h, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 7:45 PM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -289 + 243. Let w = p + 48. Solve 2*a = w + 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -139421868 and -4.\nAnswer: 557687472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41348, -5, -2\/5.\nAnswer: -41348, -5, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -646*i + 153. Let a(f) = -17*f + 4. Let s(w) = -153*a(w) + 4*h(w). Let n(y) = 3*y**2. Give n(s(j)).\nAnswer: 867*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 243?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-66)*((-3092)\/2319)\/(28\/33)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 884.1214367 to the nearest ten.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + -5*(-1)\/5. Suppose -l = 1 - 0. Let p be 94\/6 - l\/3. Calculate the highest common factor of p and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 1 = 3. Let c(i) = i**2 - i - 1. Give c(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1358766 a multiple of 551?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 9, 0, 0.1, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2223 - 1685. Let x = 23357\/6 + b. Find the common denominator of -19\/5 and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/(4*sqrt(72)\/sqrt(6)) + (-2 + (2*sqrt(5))**2 - (sqrt(20)\/sqrt(4))**2*4).\nAnswer: -2 + sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**2 - 30*y - 19. Let j be (-4)\/10 - (-87)\/5. Let o = 3 - j. Let w be u(o). Is w greater than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129431579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-12))\/((-6)\/(-60)). Suppose -2*p - n = -35, 2*p + 3*p - r*n = 65. Calculate the remainder when p is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.26232097612813 + 4?\nAnswer: 4.26232097612813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*y - 138 + 508. Suppose -y = -19*w + 1. Factor -1\/5*i**w - 1\/5 - 2\/5*i.\nAnswer: -(i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2. Suppose 4*n = c + 3, 5*c + 0 = 5*n + 15. Let u(v) = -v**2 + 4. Let p(x) = n*h(x) - u(x). Determine p(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 6*g**2 + 8*g - 3. Let u be k(7). What are the prime factors of (77 - u)*1 + 0?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 916*r - 59205. Calculate q(70).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -305*p + 106*p - 106*p as j + q*p and give q.\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -4947*m - 138338. Give f(-28).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11377 to the power of 1\/2, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 185444 to the power of 1\/2, to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(12\/(-5)) - (-1600)\/96. Let u = 13 - 32. Let r be (u + -1)*(-4)\/8. Solve -r = 5*f + g for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i**3 - 20*i**2 - 11*i + 6. Let k be z(-6). Suppose 3*h + 2*c - 1846 = 0, k*c - 3076 = -5*h - 4*c. What is the hundreds digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*v + 57*v = -76*v - 500 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 3*k + 177, k = -3*f + 73 + 50. Let q be -1*1\/4 - f\/(-8). Solve 5*s = -o + q, -5*s - 8 = 3*o - 3 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21261570076470+-4\nAnswer: -21261570076474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2145 and 135135?\nAnswer: 135135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -10, 4, -3, -5, -2 in descending order.\nAnswer: 5, 4, -2, -3, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 28*i**2 - 62*i - 47. Determine o(-30).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -6 + 1\/2*p**2 + 0*p + 1\/3*p**3. Find the second derivative of v(c) wrt c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 58\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1758671107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45759?\nAnswer: 3, 7, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-3) - -1*4\/12. Let h = 16457\/3818 - 99\/23. Which is smaller: v or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d + 56 - 52 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 118 + -123. Let g = -0.8 + 0.5. Let n = g + -1.7. What is the closest to n in -2, x, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 5 + 6)*(-11 + 24 + 1)*(r + 3*r - 2*r) + 2 - 2 - r + 4*r - 4*r - r + (5*r - 2*r - r)*(0 - 2 + 4) + 2*r + 1 - 1)*(-r + 1 - 1).\nAnswer: -32*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 301267259 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 157253154, 314506307, 471759460, 629012613, 786265766, 943518919?\n\"Answer: 157253153*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1947249 to the power of 1\/3, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44249 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t - 4*r, -8*t - 6 = -4*t - 2*r for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 89034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, -17\/2, -10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 8*t**2 - t. Let b be j(8). Let s = b + 11. Is s a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63 - 59. Suppose -2*o = -3*r + 10, -o + 2 = h*r + 2*o. Suppose 4*x + 5*l - 26 = 224, 4*x = r*l + 236. What is the greatest common divisor of 24 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/320, -1, 2\/9, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -673, -1342, -2011, -2680, -3349?\nAnswer: -4018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 + -0.7. Let q = 5.01 - 0.01. Let y = q + h. Which is the closest to -0.1? (a) y (b) 0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 7 = -5*f, -16 = -5*x - 6*f + 4*f. Let k be (-4220)\/174 + x\/3. Let a = 15623\/580 + k. Find the common denominator of 57\/16 and a.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w + 3. Let h(z) = -z**3 - 4*z**2 + 12*z + 6. Let l be h(-6). What is the remainder when n(12) is divided by 29 - (l - 2) - 4?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.277 - -0.277. Put -0.7, -2\/3, 3, w in ascending order.\nAnswer: w, -0.7, -2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49.8 - -50. What is the fourth smallest value in 5\/4, -5, 1, b?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 8*v + 10. Let n be o(-2). Let z(x) = -2*x**2 - 15*x - 16. Let l be z(n). Solve 0*s + 8 = -l*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1166392 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 227136531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (6 + 4 - -22).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h - 20. Give m(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 423196619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9504 and 13728.\nAnswer: 123552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002617512202 rounded to 5 decimal places?\nAnswer: 0.00262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 103321 + 40?\nAnswer: 103411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 272081 + -271993. Let z(o) = -o**3 - 5*o**2 - o - 3. Let c be z(-5). Let p be c*(1 - 18\/(-4)). Calculate the greatest common factor of p and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -199*g**3 + g**2 - 4*g - 4. Let y be 14\/(-6) - 1\/(-3). Let q be d(y). Let l be 0 + q\/(-2 - 2). What is l rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-3 - -2) - (0 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12 and 64.\nAnswer: -768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(1700) + -1*sqrt(1700))**2)*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4266*g**5 - 6454*g**3 + 215732017*g wrt g.\nAnswer: 85320*g**3 - 38724*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 6*g - 6. Suppose 6*z - 99 = g*z. Suppose z = -c + 174. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -17*c**2 - 4*c - 8. What is j(-2)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 15*i**2. Let q(d) = 482*d. What is k(q(l))?\nAnswer: 3484860*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 10*q**2 - 26*q + 55. What is the lowest common multiple of f(13) and 20?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24992 (base 13) to base 16\nAnswer: -107de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -2\/7, 23\/2, 117\/2 in descending order.\nAnswer: 117\/2, 23\/2, -2\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 2*y + 3. Let v(g) = 14*g**2 - 15*g - 24. Let j(p) = -8*p**2 + 8*p + 13. Let w(n) = 5*j(n) + 3*v(n). What is -2*w(b) - 5*z(b)?\nAnswer: b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**3 + 59688*l**2 + 119385*l + 59694 = 0. What is l?\nAnswer: -1, 19898","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 4*x - 36 = 0, -10720 = -4*x - 10728 for o.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -0.1 (c) -6 (d) -5\/2 (e) 0 (f) 119\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 - 10 - (-64 + 17 - -47).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1701) + -2*(sqrt(1701) + sqrt(1701)*1) - (sqrt(1701)*3 + sqrt(1701))*-6)\/((sqrt(75) + 4*sqrt(75) + sqrt(75))*6*-5).\nAnswer: -21*sqrt(7)\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 461?\nAnswer: -46.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 143053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 3*c, 3*f + 5*c - 26 + 75 - 20 = 15 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7797.3127 - 7797. Let q = g + -0.32. What is q rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + d + 3*d)*(-2*d + 7*d - 3*d) + 77*d - d**2 - 77*d.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -d + 2, 3*d - 221 = 4*u - 190. Solve -56*w = -d*w - 78 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.076 in 1\/53, 4, -2?\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cbb. What is prob of sequence bcb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*q + 1024 - 892 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t + 0*t + 0*t + (2*t + 4*t - 4*t)*(8 - 6 - 6))*(-3*t + 42 - 22 - 14).\nAnswer: 15*t**2 - 30*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55 - 205. What is the remainder when 431 is divided by s\/(-104)*352\/10?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -0.373.\nAnswer: 0.0373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -1392458*u - 15317037. Calculate z(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 + -23. Suppose -k = 5*j - 5*f, 6*j - j - 4*f + 10 = 0. What is the units digit of 2 + (1 - j*2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 3*h = 0. Round h to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4542.47ms?\nAnswer: 4.54247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*r**4 + 33*r**3 + 24*r**2 - 12*r.\nAnswer: 3*r*(r + 2)**2*(3*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6484207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(800)*2)*6.\nAnswer: 240*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m**2 - 2*m + 1. Let f(a) be the second derivative of -3*a**4\/4 + a**3\/2 - a**2 - 117*a. Calculate -2*f(i) - 5*h(i).\nAnswer: -2*i**2 + 4*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 6*f**2 - 8*f - 6. Suppose -5*h - 5*l - 35 + 5 = 0, -38 = 5*h - 3*l. Calculate y(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 234675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - ((-6 - 2 - 0) + (-37 - -36))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 12*m - 21 = -6*m + 4*d, -4 = d for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.6 + 35.8. Let q = a - 33. What is the third biggest value in 0.4, q, 0.1, 2\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -6*z + 5. Suppose 1 = -2*s + z*o, 3*s = -0*o + 4*o + 2. Factor -3*p**2 + 5*p**s - 3 - 2*p**2 - 9*p - 3*p**2 + 6*p**4 + 9*p**3.\nAnswer: 3*(p - 1)*(p + 1)**2*(2*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r + 6 + 3*r - 6*r - r**3 + 7*r**2. What is the tens digit of t(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.22 and -37.\nAnswer: -36.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62.8 + -131. Let u = 67.38 - -0.62. Let m = u + r. What is the second biggest value in 0.3, m, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.37 + -0.37. Sort 5\/2, w, 5 in decreasing order.\nAnswer: 5, w, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - 1.1. Let z = 1105 + -1117. Let u be -2 + (14 + z)*(-1)\/(-2). What is the nearest to u in v, 2\/7, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + 3*c + 3. Let y be t(3). Suppose w - y = 2. Calculate the lowest common multiple of 8 and w + 0*(-1)\/(-2).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4577 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7776 + 11914. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a litre in millilitres?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 139984 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggg when four letters picked without replacement from kcchuggghddg?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 7:17 AM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*a - 2*k = 21*a + 6, -5*k + 17 = -3*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4147 - 1.498\nAnswer: 4145.502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.4 (b) 1\/2 (c) 6945 (d) 3 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**3 - 10*h**2 - 11*h - 30. Let f be b(-10). Round f to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k + 0*k - 16*k.\nAnswer: -17*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 2\/33 (c) -13 (d) 21\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of k**2 - 8*k - 12. What is x(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -16?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2\/9 + 5512352*f\/9 + 11024720\/9.\nAnswer: -4*(f - 1378090)*(f + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -4*l + 0 + 0*l**5 + 1\/3*l**3 + 0*l**2 - 1\/30*l**6 + 0*l**4. What is the second derivative of r(q) wrt q?\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 9, -3*v + 987 = -0*r - 4*r. Suppose k - 252 = -4*x - 3*k, -v = -5*x + 4*k. Suppose t - x = 146. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.14 in 0.4, 3, 0.03, 0?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**3 + 6*i**2 - 16*i + 11. Let d be g(6). Let k = d - 382. Is 5 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*p - 645 + 2*p**2 - p**3 + 645 + 6*p**2 + 0*p**3.\nAnswer: -p*(p - 6)*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i - q, 10*q - 6*q = -5*i - 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1298 and 139476.\nAnswer: 1534236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 3:54 PM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 58*s - 48*s - 40. Solve s*z + 8 = 0, 3*j + 3*z + 10 + 5 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -60*h**4*w + 33362*h**3*w - 2*h**2*w - 5*h**2 + 5*h*w - 501*h + 47*w - 1 wrt h.\nAnswer: -1440*h*w + 200172*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3304213110 + -2?\nAnswer: 3304213103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 12461*l - 124637. What is d(10)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 73.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 4*u - 30, -5*u + 9 = 3*x - 21. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**9)**(-23\/4))**(1\/11) assuming d is positive.\nAnswer: d**(46\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -1 + -2 + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 383, 385, 399, 431, 487, 573, 695, 859?\nAnswer: 1071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1275782*h + 13 - 2552954*h - 13.\nAnswer: -3828736*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -165500.9 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/((-96)\/(-18)))\/(12\/16).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*d = 24*d + 348. Suppose 0 = 2*a + 5*q - 39, -5*q - 56 = -2*a + 33. What is the remainder when d is divided by a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20345 != -31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2\/23*m**2 + 2\/23 - 4\/23*m = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4756 + -4658. Calculate the greatest common divisor of 322 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13918852?\nAnswer: 2, 17, 79, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 777336 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (6\/(-7) + 29118\/(-966))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-2))\/(1\/46). Suppose -3*q - 49 + 1 = 0. Let w = q - k. List the prime factors of w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.25 (b) 0.3 (c) 8\/5 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12343 - 152?\nAnswer: 12151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**3 + 6*p**2 - 3*p**3 - 7 + 2*p**3. Let x be 285\/(-55) + (-8)\/(-44). Determine k(x).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 222 + 379. Does 9 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37 - 6*b + 74 - 35)*(0 + 4 + 6).\nAnswer: -60*b + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1022 + 22233230130?\nAnswer: 22233223102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11527 rounded to 3 dps?\nAnswer: -0.115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 2*g + 5*d - 21, 0 = g - 4*d + 9. Suppose 3*x + x + 4 = 3*o, o + g*x - 10 = 0. Suppose -n = -0 - o. Solve -5*f = n*u - 33, -3*u + 3 - 2 = -f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 221344 - 221341. Factor 147\/8*k**w + 63\/4*k**2 - 36*k + 12.\nAnswer: 3*(k + 2)*(7*k - 4)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 438 + -260. Suppose -x + 173 = 5*g, 0 = x + 7*g - 3*g - z. What is the lowest common multiple of 4 and x?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lhlrn. What is prob of picking 1 h and 1 l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 3*h**2 + 6*h + 3. Let k be z(4). Let d(w) = w**2 + 22*w + 60. Let l be d(-19). Solve -2*y = l - k for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 10}. Give prob of picking 3 j.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 - (10 - (-497)\/(-42))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/4)\/((-2)\/32). Suppose -q*u = -6*u. Let f be (-1)\/4 + 26\/8. Sort -21, f, -2, u.\nAnswer: -21, -2, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54206241.\nAnswer: 3, 18068747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -177*y + 48*y + 44*y + 30*y + 47*y - 7*y**2 to the form d*y**2 + l*y + t and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*p**3 - 50*p - 110*p**3 - 171*p**3 + 52*p.\nAnswer: -236*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2867428 minus 13919?\nAnswer: -2881347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 11 = 5*u - 3*r, 2*u - 16 = 4*r for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 2*v + 402, 8*v + 686 = 5*a + 6*v. Is a a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -22604042\nAnswer: 22604044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 4*f**2 - 10*f - 6. Let l be 10 - (-5)\/((-25)\/20). What are the prime factors of a(l)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + 7*n - 4. Let u be ((-16)\/10)\/((-18)\/(-90)). Let m be o(u). What is the second derivative of -19*a**2 + 6*a - 5*a**2 + 7*a + m*a**2 wrt a?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1403132 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/4*520\/(-325)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51100, 50534, 48996, 46000, 41060, 33690, 23404, 9716?\nAnswer: -7860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 3*n = -10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 4*y - 12, -3*s + 2*s = 5*y - 15. Suppose 0 = -s*q + 4*q - 32. What is the remainder when 34 + 6\/12*-10 is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11088 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3.8 (b) 1\/6 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 569072096?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (-4 - 10) - 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 160*b**3 + 3134404*b**2 - 12461800*b - 313504 = 0.\nAnswer: -19594, -1\/40, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2 = -2*v + 9, 2*v - 5 = o. Let m(l) = -l + 2. Let y be m(0). Find the second derivative of v + y*s - s - 1 - s**4 wrt s.\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 141*t**2 - 141*t**2 - t**3)*(-71*t**2 + 1624*t - 1624*t).\nAnswer: 71*t**5 - 426*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4829900 rounded to the nearest 100000?\nAnswer: -4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 107 and 33981381?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 0, 21, 36, 39, 24, -15, -84?\n\"Answer: -j**3 + 3*j**2 + 19*j - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(320) - (sqrt(320) - (-1*sqrt(320)*4 - sqrt(320))) - sqrt(320) - sqrt(320)) - 1*(-1 + sqrt(320)*2))**2.\nAnswer: 304*sqrt(5) + 115521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a42917 - a?\nAnswer: a42908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/11 and 1\/119.\nAnswer: 1309","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49699, 49698, 49697, 49696, 49695?\nAnswer: 49694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 - -57. Suppose q = w - 0*w. Let l = 40 - w. Calculate the greatest common divisor of l and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**2 + 0*z**2 + 0*z**2 + (0 + 0 - 2*z)*(0*z - z + 2*z) + (0*z - 3*z**2 + 0*z)*(4 + 2 + 0) in the form q + n*z**2 + p*z and give n.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -41440305400 rounded to the nearest 1000000?\nAnswer: -41440000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -c**3\/3 - 282. Let n(z) = -4*z - 1. Let j(d) = -1. Let m(o) = -2*j(o) + 2*n(o). Calculate k(m(x)).\nAnswer: -64*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 2*b**2 + 3*b + 1. Let o be 6\/(-9) + 5\/(45\/(-21)). Give i(o).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2*v**4 - 172*v**3 - 306*v**2 + 2520*v = 0.\nAnswer: -84, -5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 49290523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13\/(-2)*((-26)\/3 + 28\/42). Solve y*k - 24*k = -56 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3985694027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -61*u - 1. Let o be p(-1). Let s be o\/14 - (-2)\/(-7). Suppose -3*d + d = 4*l - 60, -3*d + s*l = -60. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.79 - -1.21. What is the nearest to 1 in 0.4, k, 0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z - 15. Let s(j) = -j - 31. Determine -5*g(i) + 2*s(i).\nAnswer: 3*i + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + -4)*2\/(-6). Is i\/(-8) + (-122)\/(-8) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 13*k**2 + 4. Let d be i(-13). Suppose -15 + 35 = d*f. Solve 0 = f*u + 4*z + 5, u - 4*z = -3*u - 40 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 212 by 53.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 10*b**2 + 7*b + 10. Let n be k(-9). Let f be 1672\/n + 4\/14. Let y be (-2)\/1*(-5)\/f. Which is smaller: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g**2 - 4 + 4)*(2*g**3 - 3*g**3 - 2*g**3).\nAnswer: 15*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 323808362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 4*v - 9 = 0, -38*p + 16 = -42*p - 4*v for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 180 (b) 4841 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 381*y**2 + 377*y**2 - 749*y**2.\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2607 is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2953946609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9193883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 92*i**2 + 95*i - 8746. What is s(92)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22425 or 67274\/3?\nAnswer: 22425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.016734 rounded to three dps?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101100110000110001010 + 1?\nAnswer: -1101100110000110001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -873*y = 538*y - 29631 for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (30\/(-9))\/(2\/(-3)). Suppose 0*d + 50 = c*s - 5*d, 4 = -d. Calculate the least common multiple of 3 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141108 is divided by 73.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence avs when three letters picked without replacement from avaaasaaaaaavvs?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kprpnrrrrkppkhkhrpk. Give prob of picking 3 p.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 3\/850?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2. Let z(r) be the second derivative of -1\/3*r**3 + 0*r**2 - 3*r + 0. Determine z(g(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 20*d**2 - 39*d - 55. What is u(-18)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 19. Suppose 3*b = -2*z + 22, 2*b - 2*z - 13 = -p. Let u(l) = 6*l. What is the least common multiple of u(3) and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -4*b - 4, 4*f - 4*b = b + 23 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((24\/(-52))\/2)\/((-249)\/(-166)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m - 2*m**2 - 2 + 8*m - 5*m. Let q(f) = f**2 + 2. What is 2*j(z) + 3*q(z)?\nAnswer: -z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 344 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a microgram in nanograms?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 354345719 divided by -3.\nAnswer: -354345719\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 4*c**2 + 1053*c + 4309. What is p(-4)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 5*p + 25, 0 = -5*p + 7 - 32. Suppose o = 3*y - 50 - 4. What is the lowest common multiple of y and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -149 at least -154?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1856*i - 767 = 1439*i + 6235 + 1755 for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 11*v - 16*v - 347, -3*j - v - 553 = 0. Let g = j - -3160\/17. Put -0.2, g, -1\/3, 1\/8 in descending order.\nAnswer: 1\/8, g, -0.2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q + 15. Let v be n(11). Suppose -u + 10 = v*u. Solve 3*g**3 - u*g**3 - 1 + 0*g**2 - g + g**2 = 0 for g.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 12) to base 10\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -61, -0.07, -42?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**4 + 270*y**3 + 507*y**2 - 1836*y + 1056.\nAnswer: 3*(y - 1)**2*(y + 4)*(y + 88)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 305248161 to the nearest integer?\nAnswer: 673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 788 = -4*x. Suppose 2*l + 387 = 5*o, 3*l + 4*o + x = -l. Calculate the remainder when l\/(-8) + 1\/2 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 708\/13 (b) -5 (c) 0.034\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 - v**3 + (-4*v + 2*v + 4*v)*(39 - 39 - 37*v**2) to the form s*v**2 + z*v + d + j*v**3 and give j.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 374552.\nAnswer: 2, 46819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**3 - 5*q**3 + 7*q**3.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -1, 598.\nAnswer: -1, 0, 5, 598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -66*x + 66*x - 48*x**2 to b*x + h + v*x**2 and give v.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 13*m**2 + 13*m - 8. Let g be p(12). Solve 6 = -g*i - x, -x + 8 = -i - 2*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 521 = -59. Is 32 a factor of (1 - (-4)\/(-7)) + 28380\/t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 2*t + 3. Let l be 5 + 0 + 0 - 1. Let d be (-3 - -1 - 3) + (-44)\/(-11). Let i(q) = 1. Give d*u(f) + l*i(f).\nAnswer: f**2 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 - -0.1. Let g be (9\/(-16))\/((-51)\/(-68)). What is the closest to 2\/3 in g, l, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1189302407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 + 3443040*i + 17215250.\nAnswer: -2*(i - 1721525)*(i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 2178?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/9)\/((-310)\/(-14880)))\/(((-40)\/(-78))\/(-10))\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 17\/1*(-42)\/(924\/(-22))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4+-10990\nAnswer: -10986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2170 divided by -113\nAnswer: 2170\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33413.73ug to nanograms.\nAnswer: 33413730","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*b = -10, -2*b + 4*b = -3*w + 8. Suppose 0 = 5*j + w*z - 0*z - 33, -4*j + 27 = z. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -248\/7*f - 1922\/7*f**2 - 8\/7 = 0.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 + 0 + 0 + -45. Which is smaller: n or -42?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -3*c - 10, 2*c = 6*c - a + 2. Suppose c = 215*b - 207*b - 37200000. Round b to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51403 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-10)\/(-120))\/((-4)\/(-6855972)))\/(11\/44) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*v**2 - 3*v**3 - 3*v**3 + 2*v**2 + v + 5*v**3 in the form f + b*v + r*v**3 + g*v**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-44) - 90\/(-495).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.726 rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5006518?\nAnswer: 2, 11, 227569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -56651269973 and -20.7.\nAnswer: -56651269993.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 3*f = 0. Suppose a + a + p + 102 = 0, f = 3*p + 6. Let k = -29 - a. What are the prime factors of k?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -94.4 in 14, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/73629 and -97\/22612284?\nAnswer: 203510556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5153 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 796929 is divided by 392.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + n + 2. Let w = -1 - -1. Let l be b(w). Solve -l*y = -0*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of -11*w**6\/10 + w**4\/4 - 477*w**3 + 65*w - 27. Find the second derivative of p(u) wrt u.\nAnswer: -396*u**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - m + 395 = 0, -5*q + 2*m + 341 + 321 = 0. Let f be q\/(-390) + 4\/(-10). Let o = f - -7\/13. What is the nearest to 0.1 in 5, o, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -131 + -4343?\nAnswer: -10024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1718467.\nAnswer: 1718467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7169 and -12.\nAnswer: 86028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0 - -2 - 2324\/(-7))*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**3 + 11*d - 2*d - 7*d - 2*d.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 13. What is the remainder when (j\/(-3))\/((-4)\/(-42)) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, 4, -3, -28, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + i**2 + 39. Suppose 2*p + 8 = n + n, 0 = 2*p - 4*n + 16. Calculate the remainder when 77 is divided by o(p).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -5*q - 14. Give w(13).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38336606?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 7*w**2 - 12*w + 56. Let u be y(-9). Solve 23 = -u*o + 29 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 7*i - 10. Suppose 7*t - 184 = i*t - 2*h, -102 = -3*t + 3*h. Is t a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6242, 105 in decreasing order.\nAnswer: 6242, 105, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36099 - -758225\/21. Let a = t + 33\/7. What is the common denominator of a and -37\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1958227577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1229 - -0.2126. Round p to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.14099 and -0.2?\nAnswer: -0.028198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -4 (c) -132\/5 (d) -5\/2 (e) -18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2474 and -11.15.\nAnswer: -2485.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*i + 4080 = -11*i. Calculate the remainder when i is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 53*a - 105. Let g be m(2). Which is greater: -52 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of 0 + 1960001\/12*q**4 - 5\/3*q**3 + 5*q**2 + 0*q. Let y be b(5). What is y rounded to the nearest 1000000?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 741\/(-26)*3*12\/27\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a320 (base 12) in base 13?\nAnswer: 14685","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10.5755 - 10.88. What is a rounded to two decimal places?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.081821 nanometers?\nAnswer: 0.000000000081821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n. Let k(o) be the second derivative of o**4\/6 - 67*o**2\/2 + 309*o. Give x(k(u)).\nAnswer: 4*u**2 - 134","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 3*x = -2*f - 17, 0 = 4*x - 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23979074126 less than 11.9?\nAnswer: -23979074114.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 2*y**2 - y + 3. Suppose 4202 = 4*w + 18*w. Let s = w - 188. What is k(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12538 divided by 61271?\nAnswer: 12538\/61271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 343*b**2 - 926*b + 7464. Is 56 a factor of a(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 0*d + 20 = 0. Suppose d = 2*p - 5. Let z = -1 + 1. Solve z*f - 5 = p*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211*r + 6841422 = -49*r. What are the prime factors of r?\nAnswer: 3, 7, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-7 - 0 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 82897545 to the nearest integer?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 72706\/167 and 435 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0629464846 rounded to four dps?\nAnswer: -0.0629","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -0.066 (c) -2\/35 (d) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-420)\/18)\/14*76\/(-2280)*18\/(-8).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x**5\/6 - 385*x**4\/6 + 4160*x**3\/3 - 39130*x**2\/3 + 56800*x - 94080 = 0 for x.\nAnswer: 6, 8, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*a - 30*a + 10*a)*(-124*a - 117*a + 242*a + 5) as t*a + u*a**2 + n and give t.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 15392997 to the power of 1\/3, to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -4*l**2 - 4\/3*l**3 + 5 - 2\/3*l**6 + 3*l**4 + 4\/5*l**5 + 0*l. What is u in m(u) = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5022702151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 12*v - 18. Let l be (-5 - (-90)\/(-40)*(-32)\/6)\/1. Calculate w(l).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 2*o = -6*l + 550, -10 = -5*o. Calculate the remainder when l is divided by 41.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43174?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1101000110 + 121?\nAnswer: 1101001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**2 - 44*c - 836. Let m(q) = -q. What is j(m(t))?\nAnswer: -2*t**2 + 44*t - 836","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/3 - 524*x\/3 + 34322\/3.\nAnswer: 2*(x - 131)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 0 + 1\/7*x**2 - 376\/7*x = 0.\nAnswer: 0, 376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 223 + -214 - (0 - (-5 - -2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cctjhcctcccjcnjj. Give prob of sequence hcnj.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0, 2, 942?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7744235 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -20653.\nAnswer: 2065.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 9*d**2 - 15*d + 6. Let r be p(-7). Suppose 2*t - y = 12, 49 = 4*t + y + r. Calculate the remainder when 11 is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 7*i**2 + 2. Suppose -l - 3*l + 4*q + 20 = 0, 0 = 3*l + 2*q. Let p be 2 + -5 + l - -8. Let j be r(p). Solve 0 = -x + 2*x + j for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2659*g = -2669*g - 180. Which is smaller: -5 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 + 2)*(0*v + 2*v + 0*v) - 5*v + 1 - 1)*(-3*v + 3*v + 6*v**3).\nAnswer: -18*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -25 * 0.0767\nAnswer: -1.9175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of 0*l**2 + 0*l**3 - l**6 + 5\/42*l**7 - 7*l - 5\/3*l**4 + 9\/4*l**5 + 0. Find x, given that z(x) = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1634 (base 15) to base 4.\nAnswer: -1022212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/27))**32 assuming d is positive.\nAnswer: d**(64\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -64*w**3 + 64. Let c(r) = r**3 - 1. Let i be (-3 - -7) + 0 + -7. Let p(g) = i*z(g) - 168*c(g). Find the first derivative of p(t) wrt t.\nAnswer: 72*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 196, 414, 646, 898, 1176, 1486?\nAnswer: 1834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.18 + -0.38. Suppose -4*o - 26 = -2*o. Let g = 13 + o. Which is the nearest to g? (a) 4 (b) w (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 235909 - 1769*b**2 - 235909 to the form l + y*b**2 + f*b and give y.\nAnswer: -1769","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4685.\nAnswer: 5, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6747\/17 - -397. What is the closest to 1 in t, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -4, 2, 750.\nAnswer: -4, 2, 11, 750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, x: 5, y: 2}. Give prob of sequence yxkk.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + b - 45 = 4*t, -t - 5*b + 45 = 0. Solve -5*y = -0*y - t for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4121.\nAnswer: 13, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddkddddwdddduddk. Give prob of sequence kk.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of u**4\/18 + u**3\/9 - 2*u**2\/3 - 15*u. Factor t(l).\nAnswer: 2*(l - 1)*(l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1530)\/(-12) + (-6)\/4. Let h = 1889\/15 - l. Which is bigger: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 270*a - 24292. Calculate w(73).\nAnswer: -4582","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4 = -4*r, -3*r + 2*x = -1 - 2. Let q = -329 - -312. Let w = -22 - q. Which is the nearest to r? (a) w (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 + 1. Let t = -26 + f. Solve -j + t + 3 = 0, -4*j + 6 = 2*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -234 - -5?\nAnswer: -22c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.052 and -0.01?\nAnswer: -0.00052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6861.18 milligrams?\nAnswer: 6861180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((0 + 1)*0)\/(-1*2). Suppose -3*u + 6 = a, 0*u - 19 = -5*q - 2*u. Let k be (-5)\/1*2\/(-5). Is q less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 382766 is divided by 786.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346158 is divided by 31467?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 4*v**2 - 6*v + 3. Let s(c) = 4*c - 3. Let h be s(2). Suppose j + o - 2 = 0, -h*j - o = 14 - 36. Calculate k(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 3*z + 214033, -4*w + 6*z = 3*z - 856114. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 46*y - 48*y + 34. Let j(a) = 47*a + 140. Is j(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of 13*v**6\/180 + v**4\/2 - 9*v**3\/2 - 25*v**2. Let l(u) be the first derivative of j(u). Differentiate l(h) wrt h.\nAnswer: 52*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 10 = 7, -j + 1 = -s for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, f: 4, g: 4, r: 5, m: 1, x: 1}. What is prob of picking 1 m and 2 g?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 4*b - 325. Is b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -98597040 or -98597035?\nAnswer: -98597040","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 462232 is divided by 235.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-321 - -311) + (-31 - -1) + (9 - (-2 + 4))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -45*s - 6. Let c(g) = 16*g**2. Give c(l(u)).\nAnswer: 32400*u**2 + 8640*u + 576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9\/133 - -1567\/2394. What is the common denominator of z and -99\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l. Let h(b) = -b**2 + 1679147*b + 9. Calculate h(c(i)).\nAnswer: -9*i**2 + 5037441*i + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3 - 1190*s**2 - 1185*s.\nAnswer: -5*s*(s + 1)*(s + 237)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a98 (base 13) to base 16.\nAnswer: -717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22572 - 22570. Factor 3\/4*q**j + 3\/2*q - 9\/4.\nAnswer: 3*(q - 1)*(q + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*c + 4605 = -3235. Let n = -390 + c. Let a(b) = 4*b - b - 1 - 2*b + 3*b. Determine a(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, 2, -16\/13 in decreasing order.\nAnswer: 2, -2\/15, -16\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001772578186 to four decimal places.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 5:33 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21579*q + 169*q**2 + 13*q**2 + 21579*q + 149*q**2.\nAnswer: 331*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87265, -94938, -102613, -110290, -117969?\nAnswer: -125650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 37\/(4*39\/456). Let l = n - 108. Factor l*u**2 + 0 + 2\/13*u.\nAnswer: 2*u*(u + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/13581 and 7\/45.\nAnswer: 67905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 455909412?\nAnswer: 2, 3, 7, 37, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (-14 + 2 - (16 - 20))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 13*h - 5. Let m be c(2). Let v be m\/5 - 6\/30. Find the second derivative of -10*a**4 + 20*a**v - 2*a + 9*a + 13*a**4 wrt a.\nAnswer: 276*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + -1 + 7\/3. Let y = -21 + 30. Suppose -3*u - 3*v = -y, 0 = v + 2. Sort u, d, 2 in increasing order.\nAnswer: d, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6241223067?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6286093741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(0 - -4 - -133). Let t = x - 57. Suppose -4*r = -60 - t. Solve -4*y = -5*d - r, -y - 8 + 28 = -5*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 54 - 153. Let u = 151 + p. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5090*h - 200100 = -3640*h for h.\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 54957984?\nAnswer: 164873952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 92568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9418 - -339115\/36. Calculate the common denominator of 111\/20 and t.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-6) + 9\/(-10). What is the nearest to 0.3 in -1, 0, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of g**6\/30 + g**5\/30 - g**3\/6 - 5*g**2. Determine v(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - -57 - (23 + -16 + 6)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w. Let a(v) be the second derivative of v**6\/180 + v**3\/6 + 3*v. Let p(d) be the second derivative of a(d). Determine i(p(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -9*n - 3*n - 4*n - 1 + 6*n + n**3. What is the remainder when 106 is divided by o(4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -7*t**3 + 15235*t**2 - 233383*t - 10800. Determine n(2161).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - i + 1130 = 2*i, y = 5*i + 591. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 75 = 2*n. Let o be -8*(n\/20 + -4). Suppose 64 = -o*g + 196. Is g a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 300 and 330?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 14147*t - 113181. Calculate n(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 172, -2\/11, -16, 0, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 5 = 2*j, 10*j - 5*j + 5 = -5*s. Suppose j = -r - 1 + 5. Is 16 a factor of 3 + (2 - r\/((-8)\/86))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 268*a**2 - 9 - 901*a**2 + 423*a**2 - 1454 wrt a?\nAnswer: -420*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -249*o. Let f = -41650 + 41651. Let g(s) = -s. What is f*p(r) - 332*g(r)?\nAnswer: 83*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 23 + (-3 - 9) + -18\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 8:17 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -27247.3063\nAnswer: 27243.3063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p + 10. Let v be d(-8). Differentiate -2 + 3*x - v + 6 wrt x.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -43*i**3 + 9. Let f(r) = -21*r**3 + 4. What is -9*f(v) + 4*z(v)?\nAnswer: 17*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 187334130 by 1.\nAnswer: 187334130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1438*s - 1422*s - 320 = 0. Solve -4*t - 2*w = 2*w + s, 3*t - 4*w + 8 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l - 4*l - 5*l + 11*l**2.\nAnswer: 11*l**2 - 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -104*s + 237*s - 1035 - 2479 - 742 for s.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7680.3911589 plus 387?\nAnswer: -7293.3911589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2517565548.80000121 - -2517565560. Let f = t - 11.2. Round f to seven dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35689 divided by 4?\nAnswer: -35689\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -128586 divided by 1478?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/17 (b) -4\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 + -16. Suppose v*h - 9 = -7. Let x be h + ((-12)\/14 - 0). Is 0 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 500975 - 3?\nAnswer: 500972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1775991842 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1458)*2*5 + sqrt(1458) + sqrt(1458)))\/((sqrt(900) + 4*-1*sqrt(900) - sqrt(900)) + (1*(-2*sqrt(900) - sqrt(900)) - sqrt(900))).\nAnswer: 81*sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 61026 less than 1.2?\nAnswer: -61024.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2211200 + -201120?\nAnswer: -10120020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3821 - -3813. Sort w, -2, -63 in descending order.\nAnswer: -2, w, -63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g + 13. Let r be n(5). Let z be (26\/r + -1)*4. Suppose z*d - 14 = 130. What is the remainder when d is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 62, 85, 124, 179, 250, 337?\n\"Answer: 8*x**2 - x + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 7 + 2)*(-3*t + 4*t + 0*t) - 2 + 0*t - 24*t + 1 in the form w + m*t and give m.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 160 - 473. Let s = p - -311. What is the nearest to 0 in -3\/4, -6.1, s?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -11*x**2. Let u(v) = 218*v. What is z(u(n))?\nAnswer: -522764*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 4*r - 11. Put 4, -2, 2, r in ascending order.\nAnswer: -2, r, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-2\/7))**(-25\/4)*(g\/g**1)**8*(g*(g**(-1\/4)*g)\/g*g)\/g**3*g**7\/g**(3\/7) assuming g is positive.\nAnswer: g**(6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8 or 2498\/317?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -53, -84, -35, 166, 591, 1312, 2401, 3930?\n\"Answer: 12*g**3 - 32*g**2 - 19*g - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-830)\/(-14) - -1) + (-14)\/49. Suppose -63*s + h*s = 9. Let n be -1 + 0 - (-1 - 3 - s). Solve y - 4*j = 3, -4*j + n*j - 5 = y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2559741 - 0.256. What is v rounded to 6 decimal places?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 9 = -3*k, 0 = -4*k - 0*k - 16. Let p be -2*u*5\/10. Which is smaller: p or 2\/45?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l + 9 + l - 9. Calculate the remainder when 6 is divided by x(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 297 divided by -10.\nAnswer: -297\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 357 - 132 = -25*t. What is the second smallest value in 1, t, -0.19?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 - -3 - (81 + -92)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - 228\/30 - (-2)\/(-5). Sort -1, 2, t, 1 in increasing order.\nAnswer: t, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-0.051.\nAnswer: 0.153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 24554371 divided by -5?\nAnswer: -24554371\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -12*v + 29. Let m(h) = -2*h + 5. Let p(y) = -34*m(y) + 6*s(y). Let z be p(-3). Is z bigger than 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146386?\nAnswer: 2, 53, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3059881.201 rounded to the nearest one hundred thousand?\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-2)*70*38\/(-532).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 1:00 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-9*7\/84). Calculate the greatest common divisor of k and 256.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**2 + 2*o**2 - 2*o**2 + (9*o - 9*o - 1 + o)*(0 + o + 0).\nAnswer: -o**2 - o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (270\/5)\/2*(-17)\/((-561)\/55)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 130 and 117?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.15 + 0.3. Let v = q + -0.156. Let k = 0.0105 - v. What is k rounded to three dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -137*m**5*x**3 - m**5 + m**2*x**3 - m**2 - 419*m*x**3 wrt m?\nAnswer: -8220*m**2*x**3 - 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 115369\/13 - 2842182\/299. Let v = p + 631. Let h = -22 - -23. Is v < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**4\/5 - 12*z**3\/5 + 8*z**2\/5 + 48*z\/5 - 64\/5 = 0.\nAnswer: -2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -10*h + 18. Suppose 5*y - z + 301 = z, 245 = -4*y + h*z. Round y to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3914895, -3914899, -3914905, -3914913?\nAnswer: -3914923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 27488?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/63 and -139\/42.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 550953 to the power of 1\/3, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of 29*z**3\/6 - 74*z + 9. Let b(n) = -9*n**2. Determine u(b(q)).\nAnswer: -261*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 8:11 AM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1216 + 3136 = 2*d. Suppose -b - 3*b = d. Round b to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 - 1)*(-5329*j**3 + 3149*j**3 - 5886*j**3) to the form c*j + z*j**2 + f + o*j**3 and give o.\nAnswer: 24198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -5*w**2 - w - 1. Let g be z(2). Let o = g + 29. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25*1204.93.\nAnswer: 30123.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -3*p + 62, -p + 2*a = -1 - 3. Let x be (-2)\/(-7) + 1998\/p. Suppose -3*n + 49 = 10. What is the greatest common divisor of n and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 192385 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -137 + -4?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21757 - 21755. Let f = 0.01 + -0.01. Let d = f + 0.3. Which is the smallest value? (a) m (b) d (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 784 and (-8241)\/(-21) - (-6)\/(-14).\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -871416 by 1862.\nAnswer: -468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4, -6, -14, -14, 0, 34, 94, 186?\n\"Answer: k**3 - 5*k**2 - 2*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.22, -2\/69, 1\/2, 1.69, -2\/13, 0.2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 15*q + 7. Let u(k) = 8*k + 4. Let r(b) = -4*o(b) + 7*u(b). Let t(y) = y. Let l(s) = r(s) + 2*t(s). Let p(n) = -4*n. Calculate p(l(z)).\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 111131289?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*q**2 + 4275*q - 4275*q)*(9 - 4 + 2) as n + y*q**2 + x*q and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -50 divided by 50\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 3*g + 5*g - g - g + 0*g + (0*g - 2*g + 4*g)*(-1 + 1 + 2))*(-4*g**2 + 7*g**2 - 2*g**2) - g**3 - 5*g**2 + 5*g**2.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -1898.\nAnswer: 7592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t - m - 5, 8*m - 10*m = 18*t - 60 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -2) + (-5 - 0 - -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -t**4 - 239*t**3 - 71480*t**2 - 2*t - 65755789?\nAnswer: -12*t**2 - 1434*t - 142960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*-3*2*29128\/12. Is (-1)\/(58260\/i - -4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 115066 to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (2101 + -1)\/(-42)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*i**2 + 122*i + 201*i**2 - 100*i**2.\nAnswer: i**2 + 122*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + (6 - 6 - (9 - 3)) + 0?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2.1 * -0.105229\nAnswer: -0.2209809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 at least as big as 142\/2491?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(81)\/(-2*sqrt(729) + sqrt(9)))\/(-5*1*sqrt(300))*6 + -1.\nAnswer: -1 + 3*sqrt(3)\/425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 13. Solve -b*r + 0 = 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 93384*o + 747076. Calculate s(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*-1)\/(((-3154)\/1026)\/(-83))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-11 - -12)\/((-1)\/(-4)). Suppose -h*l + 20 = 4. Suppose -3*q = -3*v - 69, l*q = -q - 4*v + 115. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 111 - 63. Let s = g - 46. Find the second derivative of 3*p**4 - s*p**4 - 4*p - 9*p wrt p.\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.35 in -5, 0.2, 574?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36*d**5 + 15949*d**4 - 2*d**2 - 5099659*d wrt d.\nAnswer: 720*d**3 + 191388*d**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 1:38 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -15013 and -15016 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1619 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4038 is divided by 43?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*6\/(-4)*2. Let f(u) = u**3 - u**2 - 5*u + 2. Let i be f(3). Let d = a + i. Solve -2*t = 2*t + x + 9, -d*x = -t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 303 - 408 = -5*c for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3953 and -0.52.\nAnswer: -0.205556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 1896.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 3)*(0*p + 0*p + 2*p) - 8166*p + 1 - 5 - 7 + 8474*p.\nAnswer: 312*p - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 504691 is divided by 1684?\nAnswer: 1175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 8*o**2 - o - 6. Let y be l(-6). Let i = -988 - y. Is -1 - i*(12 + -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 126b99 (base 12) to base 3.\nAnswer: 120100210000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (92\/(-368))\/(2\/6)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/116 and 1\/7654484.\nAnswer: 221980036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -567, 2, 0, -0.1.\nAnswer: -567, -0.1, 0, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 30 - 17*f**2 - 40*f**2 - 20 as d*f**2 + p*f + n and give d.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n**3 + 57*n**2 + 67*n + 47. What is b(-13)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 less than 221133\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77333422.\nAnswer: 2, 173, 223507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 5.8. Let m = -424\/2955 + 2\/197. What is the third smallest value in -4, t, m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 80*j**2 + 6*j - 8. What is the tens digit of t(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 102*t + 1173. Calculate p(-10).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -184, -385, -588, -793?\nAnswer: -1000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*w + 2*w - 12, 3*w - 4*q - 9 = 0. Let i = -3262 - -3301. Put -5, 0, i, w in ascending order.\nAnswer: -5, 0, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-3*(sqrt(20) + sqrt(20)*2)\/sqrt(10))**2.\nAnswer: 1458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 bigger than -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0643955 * -6.\nAnswer: -0.386373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 1090*b**3 + 2*b**2 - 6*b - 1. Let s be n(2). Suppose -s = -11*c + 2285. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/(864\/(-1704)) - -22\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, x: 2}. Give prob of picking 2 x.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 r when three letters picked without replacement from rrrrrrrrrrtrtrrrrrrr?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 162225943, 324451889, 486677835, 648903781?\nAnswer: 811129727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-97)\/(28615\/(-236))*(32\/(-624))\/(8\/(-270)).\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 1:13 AM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5065383*q**4 - 3292821*q wrt q?\nAnswer: -60784596*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 8 + (7 - (-3 - (4 - 15)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 128893 and 122?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - -18 - (-1 + 1 - (-107 + 109)))*20.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 4*n - 113 = -4*m - 22, 19*n + 4374 = -3*m + 4808 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 11 + 8 + 7*n**3 + 20 + 325*n**2.\nAnswer: 7*n**3 + 325*n**2 + 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18 + (-14 - -13)\/((-1)\/6). Solve -h = 11*v + 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 19*v - 12. Let m(w) = 32*w. Determine m(z(a)).\nAnswer: 608*a - 384","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 261 + -77. Let m = 185 - u. Let w be 1 + -7 - (-1 + 0). Which is the biggest value? (a) 2 (b) -2\/15 (c) w (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence py when two letters picked without replacement from {y: 5, p: 4, b: 2}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aafffxq. Give prob of sequence afa.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/(180\/7))\/(1071\/(-255)))\/(12\/18).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -0.2, -1, -2\/129.\nAnswer: -1, -0.2, -2\/129, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -j - 5*f - 21, 2*j - 4*f = 12. Let y be -2 - 6\/(j + -3). Suppose y*o - 3 = -x + o, 4*x = -o + 12. Solve x*r - 3*b - 3 = 0, r - 13 = 3*r + b for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11200 and 50000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(4\/840*6*5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-19)\/(0 - (0 + -1)). Let k = 2 - x. Is (k\/(-14))\/(1\/(-6)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 7:21 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 941735518?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**5\/t)*t\/t**(1\/3))\/((t\/(t\/(t\/(t\/(t\/(t*t**5\/t))))))\/t**(-1\/4)))**(-50) assuming t is positive.\nAnswer: t**(-425\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - 2*i**2 + 2*i)*(-2*i**2 - 50*i**2 + 21*i**2)*((-5*i + i + 5*i)*(2 + 5 - 5) - 1 + 1 - 3*i - 5 + 2*i + 5).\nAnswer: 62*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*z + 254 = 0, -8*z = 2*x - 5*z - 254. List the prime factors of x.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 19*y**2 + 41*y + 5. Calculate f(-4).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**2. Let k(x) = -668645 + 668645 - 8239*x. Determine f(k(a)).\nAnswer: -135762242*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/24*1\/((-3)\/(-6)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 377?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -7*x**4\/4 + 5*x**3 + x**2 - 20*x + 11. Find the second derivative of y(q) wrt q.\nAnswer: -42*q + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**4\/3 - 154544*k**3\/15 + 133958*k**2\/5 - 123664*k\/15 - 123656\/15 = 0. What is k?\nAnswer: -15457, -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a + 159. What is l(-33)?\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of j**6\/120 - j**4\/12 + j**3\/2 + 36*j**2. What is b(-3)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1114 - 1089 + 2035 + 0*a**2 + 2*a**2 as x + r*a**2 + o*a and give x.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/7, 4, -25\/6, 364?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*b - 7938 = -57*b + 109*b. Is b a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-28)\/(-40) - (-7)\/14. Let z = 1.87 - 1.87. What is the nearest to z in k, -1\/3, -3\/25?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 80 + -60. Suppose 5*w + 2*n = -10, w - 4*n = 4*w + h. Solve 0 = -z - w*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*k + 51725 - 111085 - 122934 = 0. Is k a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 15.5 + -15.514. Let w = s - 13.386. Round w to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40884059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v + 1. Let j be n(3). Let q(u) be the first derivative of -7*u**4 - 4 - 2*u + 6*u**j + 7*u. What is the first derivative of q(m) wrt m?\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 3\/394, -2\/15, 272\/13 in descending order.\nAnswer: 272\/13, 3\/394, -2\/15, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-27 - 0) + 344 + -319. What is the third biggest value in y, -3, 68, 0.03, 4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5798284185 from -1.\nAnswer: -5798284186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 20*o - 26*o. Suppose -4*z + o*z + 74 = 0. Is 6 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + 46\/2)\/(9\/390). Suppose -p + 2*n + 323 = 0, -o = -4*p + 5*n + 376. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18700?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4101272?\nAnswer: 2, 7, 73237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-73170)\/162 - (-2)\/(-6))*(-3)\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l + 10. Let s be n(-5). Let h(m) be the third derivative of 0*m**5 + 1\/105*m**7 + 0 + 0*m + s*m**4 + 0*m**3 + m**2 + 1\/60*m**6. Factor h(f).\nAnswer: 2*f**3*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-18)*(18 - 9). Solve -26 = 5*u + 2*b, a*b + 40 = -u + 27 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 134, 4, 0.5, 1\/4, 7 in ascending order.\nAnswer: 1\/4, 0.5, 4, 7, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 48*n - 5. Let h be 6 + (0 - (-9 - -8)). Let r be m(h). Factor -7\/6*y**3 + 17\/6*y**r + 1\/6*y**4 - 17\/6*y + 1.\nAnswer: (y - 3)*(y - 2)*(y - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70849?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + 10 + 14 + -43 + 18?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 118959571 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3\/5, -3, -16.\nAnswer: -16, -3, -1, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r - 2. Let b(p) = p + 3. Let u(x) = 2*x + 1. Let l be u(-4). Calculate l*a(s) - 5*b(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-13)\/(26\/(-60)) + 2. Suppose -10*y = -8*y - i. Let o = 20 - y. Solve -2*c + o*c = -6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14915 (base 13) to base 11\nAnswer: 27243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l + 1 - 1)*(-4*l - 1 + 1)*(5 - 5 + 4) to the form v*l + b*l**2 + a and give b.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c**(-8)\/c)\/c*c*c*c**13*c)\/(c**(1\/14)\/c)**(1\/26) assuming c is positive.\nAnswer: c**(197\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/(-2)*2\/3. Suppose z*k - 3*s - 9 = 0, 5*s = -3*k + 4*k + 17. Factor 22*d**2 + 8*d**2 + 2 - 28*d**3 + 3*d + k*d**4 - 16*d.\nAnswer: (d - 2)*(2*d - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(200) + -1 + 2 + -2*sqrt(200)*6 + -2 + 5)*6)**2.\nAnswer: -31680*sqrt(2) + 871776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 76 and 22044332?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 174559985 or 7?\nAnswer: 174559985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 139583 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 558 divided by 9\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8459, -16351, -23671, -30413, -36571?\nAnswer: -42139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4324 (base 7) to base 5.\nAnswer: -22122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 6 + -9 - -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2488 = -7*s. Let g = s + -225. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/54639768 and -29\/942.\nAnswer: 54639768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000035529897 rounded to 7 dps?\nAnswer: -0.0000355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + w + 6. Let q(f) = f**3 + 2*f**2 - 1. Let s be q(-1). Suppose h + 2*h = s. What is j(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -63855 by 33.\nAnswer: -1935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**2\/3 + 24320*c\/3 + 73932800\/3 = 0. What is c?\nAnswer: -6080","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -481 = -20*p - 17*p. Find the second derivative of -45 + 148*c**5 - p*c**5 + 24 - 44 - 405*c + 406*c wrt c.\nAnswer: 2700*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4625 - 0.0625. Which is the closest to -0.13? (a) -0.5 (b) j (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -33*(-4)\/30 - (-255)\/425. Let w(x) = -4*x - 4 - 8*x**2 + 21*x**2 + 16*x**2. Is w(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 512 by -8.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -i**5\/25 + i**4\/5 - 4*i**3\/15 + 6. Find w such that q(w) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 3:42 AM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 9 + 6 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-77)\/((511\/876)\/(2\/(-12))) + 0\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 52*i - 44. Let y be s(6). Let m = 2363 + y. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 2072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57.4 + 1924636806.\nAnswer: 1924636863.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 104 - 80. What is the smallest common multiple of a and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/6 or -729.2743?\nAnswer: -729.2743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -11897, -95140, -321065, -761012, -1486321, -2568332?\n\"Answer: -11890*n**3 - n**2 - 10*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 3*z + z - 19 = 0, -119*z + 248 = -5*v - 158*z for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11146 + 12070. Calculate the remainder when q is divided by 103.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0786 times -0.11\nAnswer: 0.008646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26338 + 11882 = 140*v. What is the highest common divisor of 663 and v?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -118*q**3 - 8*q**2 - 10*q. What is the units digit of z(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-3))**(-2\/57))**(-24\/5) assuming v is positive.\nAnswer: v**(-48\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0931 + 0.9069. Which is the third smallest value? (a) j (b) 2\/5 (c) -2\/7 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230*k + 421610 = 421380 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -105?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**2 + 10*q**2 - 28*q**2.\nAnswer: -17*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g - 4. Let d be r(8). Suppose -6*t + 3*t + 9 = 0. Suppose 5*b + 2*u - 34 = 0, -d*b + 8 = -t*b + u. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 17*q**2 - 50*q**2 - 19*q**2 + 104*q**2. Let s(w) = w**2. Give x(s(j)).\nAnswer: 52*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8199.44 millilitres to litres.\nAnswer: 8.19944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 0. Let n be (-54)\/(-9) - 16\/4. Suppose -2 + q*a**3 - a + a**3 + n = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40115569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 - -25. Let c(j) = j**3 + 11*j**2 - 2*j - 25. Let k be c(-11). Which is smaller: k or f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -476 + 25334?\nAnswer: 24747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*a**2*r**2*t*v**3 + 255*a**2*r**2*t*v + 87*a**2*r*t*v**3 - r*t*v**3 - 3*r*v - 6*t*v wrt r.\nAnswer: 22*a**2*t*v**3 + 510*a**2*t*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -205 + 208 - (56\/18 - 0).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of x**8\/112 + 2*x**7\/35 + 3*x**6\/40 - x**5\/5 - x**4\/2 + 281*x**2. Suppose c(y) = 0. What is y?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/25 of a microgram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 9. Suppose 3*m = 25 + l. Suppose 0 = -u - h + 3, 7 = 3*u - 3*h - 20. Calculate the smallest common multiple of u and m.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 664231433 is divided by 242.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 34899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 245427775 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = 3324 - 852. Calculate the common denominator of y\/72 - (-4 - 0) and -31\/57.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20088 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6800 and 13900.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5621.957 tonnes to milligrams.\nAnswer: 5621957000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75506680 to the nearest integer?\nAnswer: 8689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -7, 0, -3 in increasing order.\nAnswer: -8, -7, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of k**4\/12 + 13*k. Let z(l) = -l**2 + 1. Let x(m) = 24*m**2 - 30. Let u(w) = x(w) + 30*z(w). Calculate u(d(i)).\nAnswer: -6*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 5. Let y(l) = l**2 - 3*l - 4. Let q be y(4). Calculate x(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.3 - 0.9. Let d be -2 - -4*451\/308. What is the third smallest value in 5, d, y?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 2 - 8. Solve v*o + 32 = 3*w, 4*w - o = 2 + 18 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (1 + (5 + 0 + 0 - 5))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27380 at least as big as 27384?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 142892, 140107, 137322?\nAnswer: 134537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of k**5\/60 + k**4\/12 - 2*k**3\/3 + 2*k**2. Let o be r(-4). Suppose -l = -5*l - 20, o*h + l = 223. Is h a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161255 is divided by 129?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -2*y + 8. Let w be 1\/(y*(-4)\/32). Let p be 1*(-3 + w)*19. What is the greatest common divisor of p and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/21)\/(484\/(-5082))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -1\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2672*a + 46196 = -52668 for a.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 9:51 AM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*r*y*z**2 - 45*r*y*z - r*z**2 - r*z - 2*y*z wrt z?\nAnswer: 12*r*y - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1566 + -50?\nAnswer: 1516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50 and 1635375.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 2. Let m(c) = 6*c - 1. Let o(h) = -5*h + 1. Let u = -36 - -33. What is p*o(d) + u*m(d)?\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/16170 and -109\/1680?\nAnswer: 129360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -11*((-2)\/(-3))\/((-2)\/3). Is ((-4)\/(-11))\/2 - (-1725)\/f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 - 11\/2)\/(3\/(-18)). Solve -2*r = -5*r + b for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -161*l - 662 - 4*l**2 - 423*l + 82.\nAnswer: -4*(l + 1)*(l + 145)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 272.474 rounded to zero decimal places?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 559018\/58938 + (-70)\/6?\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -14\/3 (b) 2 (c) -3.286592\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2854 divide 222852665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 16*n**2 - 2. Let f(l) = 16*l**2 - 3. Calculate 2*f(m) - 3*v(m).\nAnswer: -3*m**3 - 16*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17.052 - -17. Let u = 22.052 + m. Let d = 22.00044 - u. What is d rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*q - 2*q**4 + 4*q**2 + 8*q)*(-q - 3 + 3).\nAnswer: 2*q**5 - 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of o**4\/24 - 2*o**2. Let a(l) be the first derivative of -20*l**3\/3 - 106. Calculate a(w(u)).\nAnswer: -20*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h = -13*h - 2. What is the hundreds digit of (-19019)\/(-52) + h\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of 5*j**3\/3 + j + 29. Let k(l) = -3*l**2. What is r(k(w))?\nAnswer: -30*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000934 to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 3*b - 0*b - 3, 2*n + 3*b = -3. Suppose z + 0*z = n. Suppose z = -j - 0*j + 9. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.44890039 to 2 decimal places.\nAnswer: -6.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -64*p**2 + p + 85*p**2 - 1 + 386*p**2 + 437*p**2 + 58*p**2. Does 11 divide r(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 1:46 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101111110111 - 100110111?\nAnswer: 101011000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 3.92.\nAnswer: 3.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13366 is divided by 4090?\nAnswer: 1096","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 10*k - 1. Let c(w) = w**2 - 12*w + 19. Let s be c(10). Calculate m(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1349.684ml in litres?\nAnswer: 1.349684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by 48.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**5 - 4*h**5 + 3*h**5 - 1 - h**5 + 1 + (-5*h**2 - 4*h**2 + 4*h**2)*(34153*h**2 + 63*h**3 - 34153*h**2).\nAnswer: -319*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -2*((-105)\/6)\/(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - a + 1810002, 0 = s - 5*s - 5*a - 7239990. Round s to the nearest 100000.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p. Let d(f) = 2*f - 2. Let y = -26 - -27. Let a be d(y). What is r(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**5 + 16*h**4 + 6*h**3 - 44*h**2 - 32*h = 0. Calculate h.\nAnswer: -1, 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -60568206 to the nearest 1000000.\nAnswer: -61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - 4 - (-9 - -3) - 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127153, 127239, 127311, 127369, 127413, 127443, 127459?\nAnswer: 127461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 2*x - 48039. Let k be (374\/612)\/(-2 - (-209582)\/104793). Let a = x - k. Find the common denominator of a and -77\/15.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 30\/7 + (-14)\/49. Suppose -h*b - b = -60. Let t be (12\/10)\/(2\/10). What is the greatest common factor of t and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 18, -2\/35, -3\/8, 2 in increasing order.\nAnswer: -4, -3\/8, -2\/35, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 26 = -2*j. Let c(v) = 2*v**3 + 6*v**2 + 6. Let u(r) = -4*r**3 - 13*r**2 - 13. What is j*c(q) - 6*u(q)?\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2580)\/96*2*((-16)\/(-5))\/(-4).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97200 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 38 and 10712.\nAnswer: 203528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 177055 and 290?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 159676\/(-12606)*(-36)\/(-38).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(20\/16) + 29. Let r be 6\/33 - (-93)\/q. Suppose 5*l = -4*o + 276 + 89, -54 = -l + r*o. Calculate the remainder when l is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 421*j = -424*j - 5, j = 2*y + 15. Let s(l) be the first derivative of -l**4\/4 - 2*l**3 - 4*l**2 - 7*l + 1. Give s(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n - 3677 = -3334 for n.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23020*o**4 - 10*o**3 + 2453*o**2 + 17 wrt o.\nAnswer: -552480*o - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 - 2. Let m(b) = 5585*b**2 + 2525*b - 120. Let z(i) = 60*d(i) - m(i). What is the second derivative of z(t) wrt t?\nAnswer: -10930","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 480 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 122244015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -27*k**2 - 23*k**2 - 8*k**2 + 6*k**2. Let v(l) = 23*l + 25*l - 92*l + 22*l + 20*l. Calculate g(v(f)).\nAnswer: -208*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.114 in -0.06, 128\/3, -1.3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -124.2387572 to the nearest integer.\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 823281336 to the nearest integer?\nAnswer: 937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 495 * -5.\nAnswer: -2475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**2 - 288*k + 15177. Determine p(-187).\nAnswer: -905","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1516 + -34?\nAnswer: 1462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1874 - 8?\nAnswer: 1867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = -0*j + 6*j. Let b be j\/12*12\/1. Solve 2*r = -r + b for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (5 - 5 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 15, 7*c = -221*h + 222*h + 33150. What is the thousands digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*b - 134*b = 29*b - 3798 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 5*s**2 + 10*s + 16. What is b(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/5, 121, -106?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, 2\/9, 159, -0.4 in decreasing order.\nAnswer: 159, 41, 2\/9, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -2*i, -15*v - 26 + 54 = -5*i - 77 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 24*p**2 - 6*p - 2. Let b(h) = 21*h. Determine w(b(z)).\nAnswer: 10584*z**2 - 126*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -1. Suppose 2*i + 18 = 2*v, -5*v + i = -q*v - 37. Let d = v - 10. Solve x = a - d, 4 = 2*a - 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 21\/36*(7 - -5) - 10\/4. Find l, given that -13*l**3 + 105\/2*l + 17*l**4 - 9 - 52*l**2 + q*l**5 = 0.\nAnswer: -3, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4296207mg to grams.\nAnswer: 0.0004296207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 46\/(-2) + 4\/4. Let k be s\/(-5) - (-2)\/(-5). Let b be (-21)\/(-7) + -9 + 1. Sort b, -1, k in decreasing order.\nAnswer: k, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8537, -16361, -24185?\n\"Answer: -7824*a - 713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of h**4\/12 + h**2. Let f(a) = 30*a**2. Let y be f(1). Let k(g) = 10*g + 12*g + 12*g - y*g. Give k(u(w)).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1439234121 to the nearest integer?\nAnswer: 1129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/7))**(8\/9)*t**1*t**11)**(3\/47) assuming t is positive.\nAnswer: t**(772\/987)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5419032 and 6536?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 13. Let y(g) = g. Let c be y(4). Suppose 14*r - 40 = c*r. Calculate the remainder when u is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 10) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 190 and 835150?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (3\/5)\/(28\/60) and (-241)\/(-30) + (-2)\/6.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.6405492 to two dps.\nAnswer: -4.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -47676.6 to the nearest one hundred.\nAnswer: -47700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -981*n + 994*n = 546. Calculate the remainder when 2244 is divided by n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 3*p**2 + 2*p + 6. Let s be z(-4). Let v = s - -20. Is 2 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 41, 4971050, -3?\nAnswer: 4971050","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 60318\/1117*(1*-3)\/(48\/32)?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*j*s**2*v**2 + 2*j*s**2*v + 11*j*v**2 + j + 5*s**2*v - 13*v**2 wrt s?\nAnswer: -6*j*s*v**2 + 4*j*s*v + 10*s*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 10 - 5. Let p be 22\/f + 1*4. Let k = 22 - 24. What is the nearest to -1\/4 in -0.23, p, k?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -11, 8.7, -14.9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 + (3 - (-12 + 14) - 22).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 113111790 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 5004 = -5*s + 4988, -20*d = 2*s + 64 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a meter in centimeters?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i**2 - 7*i - 4. Let s be 10 + 4\/(3 + -7). Let b(q) = 2*q**2 - 3*q - 2. Determine s*b(h) - 4*p(h).\nAnswer: 2*h**2 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/19 (b) -29 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -491.598 and -0.493.\nAnswer: -492.091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*y = 7, 9 = d - 0*y + 2*y. Let h = -17506\/5141 - -312\/97. Is d greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -227 - 17 - 5*v - 2*v + 6*v in the form l + k*v and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8810, -8503, -8198, -7895, -7594, -7295, -6998?\n\"Answer: -z**2 + 310*z - 9119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -999.6 - -999. What is the closest to p in 4, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-3)*12\/(-2))\/1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/4107 and 1\/10952?\nAnswer: 32856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*f**2*k*v**2 - 3*f**2*k + 11*f**2 - f*k*v - 2*f*k + 437*f*v**2 wrt f?\nAnswer: 6*k*v**2 - 6*k + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -133372 (base 8) to base 6\nAnswer: -1000510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 117 - 0.1.\nAnswer: 116.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -10*o - 30*o + 5*o. Solve -3*c = 9*g - 11*g - 16, o = c for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/3 - 2\/(-3). What is the units digit of 2\/(1 + p\/8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*i**3 + 168*i**3 + 84*i**3 + 331*i**3.\nAnswer: 519*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of b**4\/6 - 83*b - 22. Let q(l) be the first derivative of f(l). Let s(v) = 29*v**2. What is s(q(c))?\nAnswer: 116*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3091 and 21918.\nAnswer: 241098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -104042, -104038, -104034, -104030?\nAnswer: -104026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -15, 26, 105, 234, 425?\nAnswer: 690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96723 is divided by 530.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4413805?\nAnswer: 5, 11, 80251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.2427 rounded to 2 dps?\nAnswer: -5.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10534\/777 - 4\/2331. Let h = 539774 - 539770. Factor -2\/9*f**4 - h*f**3 + 40*f - 200\/9 - j*f**2.\nAnswer: -2*(f - 1)**2*(f + 10)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 154 divided by -22.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -411*z - 8 = -419*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -229b + -5?\nAnswer: -22a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9628 is divided by 68.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 7 = u. Suppose -3*y - w + 338 = 0, 7*y - 2*y - 554 = u*w. Is y a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/20*(2 + -87920). Let p = m + 4615483\/210. What is the common denominator of p and 111\/50?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.118 - -8.218. Let c = z - 3.58. Round c to one dp.\nAnswer: 4.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -991 + 991 + 33*s**2 as h*s + g*s**2 + l and give g.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 18954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 + 4 + -4)*2. Let k(r) = -9*r - 4. Let l be k(4). Let b = l - -128. Calculate the highest common factor of y and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.14 - 0.1. Let v = t + 5.96. Let o = v + -3. Which is greater: 1\/3 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*q + 54 + 21 - 7 - 3*q + 55 to the form i + t*q and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*j + 3)*(-859*j - 1091 + 1098 - 167*j).\nAnswer: 2052*j**2 - 14*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 118755772?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 152?\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 392452\/81765 - -4\/16353. Factor 3*i**3 - z*i - 3\/5*i**5 - 12\/5 - 3\/5*i**2 + 3\/5*i**4.\nAnswer: -3*(i - 2)**2*(i + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -166*y + 9124. Give t(55).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 7 = 33. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003391244 rounded to seven decimal places?\nAnswer: -0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) 1\/13 (b) 3 (c) 11.7 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((1*18)\/(-3))\/2. Let d = 11 - w. Is d a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5*(4 - (-222)\/(-57)). Let d be ((-40)\/100)\/(18\/10). What is the smallest value in t, 1, d, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 107\/4 - 741\/28. Let c = -6 - -12.9. Let x = c + -7. Sort w, -1\/5, x in ascending order.\nAnswer: -1\/5, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a**2 + 11668 - 11668 - 4*a**2.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 113, 283, 595, 1097, 1837, 2863, 4223?\nAnswer: 5965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4878, -19568, -53912, -117738, -220874, -373148, -584388?\nAnswer: -864422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 728 + 158. Let w = 888 - t. Calculate the greatest common divisor of 62 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j\/j**(-1))\/j*j)\/((j\/j**(-1))\/j))\/(j**(-1)*j**6\/j)*(((j\/(j\/(j\/j**1*j)))\/j)**4)**31 assuming j is positive.\nAnswer: j**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28.8 + 23. Round x to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 7*w - 8*w. Let b be -1 + -1 + (w - -6). Suppose 0 = 2*o - b*o. Are -4\/9 and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m - 10*m = 10. Let p be (4\/m - 0)\/(1\/(-2)). Sort 4, -2, p in decreasing order.\nAnswer: 4, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g\/(g**(2\/31)*g)*g)*(g\/g**(-9))\/g assuming g is positive.\nAnswer: g**(281\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2325 - -4052. Does 46 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43570000 rounded to the nearest one million?\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 6069481524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 107289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 13*s - 1. Calculate f(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11.4006 + 1.4006. What is the nearest to -1\/4 in -1, 3\/5, 9.8, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 6*z = 3*l + 26, 3*z + 20*l - 22*l + 28 = 0 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2131575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 29*i**2 + 97*i - 150. Let o be j(28). What is the greatest common divisor of o and 268?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 110055 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/((-575)\/10))\/(((-72)\/(-9))\/(-24)).\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 314*p + 24*p**3 + 880*p**2 + 18*p**4 + 22*p**4 - 43*p**4 - 1 - 314*p wrt p.\nAnswer: -72*p + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 37 + 34 + 33 - 143 + 242*h + 41 in the form v + t*h and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 12, y: 3}. What is prob of picking 1 u and 3 y?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 254\/24035 - 8\/253. Let y = k - -299\/665. Which is the smallest value? (a) 0.3 (b) 3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 16*h - 19*h = -2841, 5*h - 14165 = -5*f. What is the greatest common factor of f and 345?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3398600480.794 + 0.68\nAnswer: 3398600481.474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/15 + 2\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 15*x**2 - 4*x + 2. Let w(b) = -30*b**2 + 9*b - 5. Let m(v) = 9*s(v) + 4*w(v). What is the first derivative of m(k) wrt k?\nAnswer: 30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7645 - 4427. What is the thousands digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - 7. Let n be 9\/c + 1\/(-4). Let d(z) = z**2 + 1. What are the prime factors of d(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4*n + 538 + 429 = 0, 0 = 3*a + 2*n - 567. Suppose 0 + 3 = o. Let y be 4\/(-6) + a\/o. Calculate the greatest common divisor of 9 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 0*u - 3*u)*(-2396 + 1100 - 2380).\nAnswer: 7352*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 at most 2441\/54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 77*m + 623. Let d be b(-8). Let c be (-41)\/(-13) + -3 + (-148)\/(-52). Put c, d, -3, 4 in decreasing order.\nAnswer: d, 4, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*m + 2165 + 2357 = 0. Does 34 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1637 is divided by 63?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v - 1. Give r(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/218300 and 77\/12036?\nAnswer: 11133300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of 0*k + 7\/60*k**5 - 7\/6*k**3 + 0*k**4 + 0 + 8*k**2. Does 18 divide u(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 289, 1170, 2577, 4510, 6969, 9954?\nAnswer: 13465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = s + 19 - 8, -4*d + 1 = -3*s. Solve -3*k - m = 11, 30 = -5*k - d*m + 7 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3674\/334*(40\/8)\/(-165).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1439, 1440, 1441, 1442, 1443, 1444?\nAnswer: 1445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/6)\/(3*3\/(-3)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -11*a + 5*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -64 - -91. Let s(h) = -51*h**3 - h**2 - 2*h - 1. Suppose 0*d - 5*d - 3*c + 7 = 0, -5*c = -2*d - 22. What is the remainder when s(d) is divided by j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1162134.\nAnswer: 2, 3, 21521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 507 is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in -1, -2\/11, 1\/5, -492?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 5*h - 1. Determine o(6).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-33)\/(2079\/126))\/(-1 - (2 - 60))\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.239428ml in litres?\nAnswer: 0.004239428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -4*j - 31. Let v(q) = -9*q - 62. Determine -5*u(w) + 2*v(w).\nAnswer: 2*w + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -16, -22, -18, 2, 44, 114, 218?\n\"Answer: d**3 - d**2 - 10*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + j - 124 = 0, -2*t + 55 + 31 = -j. Let n = -81 + t. Find the common denominator of -67\/18 and (n\/(3 + 0))\/(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (-234)\/81 + 12?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1 + 423\/6 + 7\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 100, 84, 58, 22, -24, -80, -146?\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 18 - 9 = 0, 5*m = -3*z + 32759. What are the prime factors of m?\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2074*a + 1646. What is the thousands digit of s(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4766625 is divided by 65?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 i when three letters picked without replacement from ididwuududuudui?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, r: 3, i: 1, z: 2}. What is prob of picking 1 i and 1 t?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1129*s - 207*s + 589*s - 491*s - 964*s)*(-5 - 1 - 2)*(-s**3 + s**3 + 2*s**3).\nAnswer: 35232*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/5)\/((-150)\/409875). What is the thousands digit of -23 + 18 + (2 + x - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 2) + (-3 - 21\/(-15)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 482026942.456 + -0.2.\nAnswer: 482026942.256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -70.09 times 0.02\nAnswer: -1.4018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millennium in months?\nAnswer: 31200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.07 - 0.07. Let f(i) = 3*i - 9. Let j be f(3). Let y = -13 - -9. What is the second biggest value in m, j, y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44\/10 - 2*5\/25.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.92 - 10.81. Let j = -10 - g. Let c = j - 0.89. Put c, -2, -1\/2 in ascending order.\nAnswer: -2, c, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n - 7. Let h be i(3). Suppose 0 = h*j + 4*f - 20, -4*f = 2 - 18. Calculate the least common multiple of j and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4889083*r*s**2 + 14547821*r - 2*s wrt s?\nAnswer: 9778166*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35777 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1208.86 to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 4:18 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 1:36 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 135*g + 9498. Determine f(-70).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 145.\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16742863 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**3 + 62*z**2 - z + 31. What is d(31)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203 is divided by 53?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 8*y - 4. Let a(l) = -l - 2. Let i be (-3)\/(-6)*-2 + 8. Let v be a(i). Is 5 a factor of s(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -322, -238, -180, -160, -190, -282, -448?\nAnswer: -700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one eighths of a litre in millilitres?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3720526 and 39046?\nAnswer: 26043682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 6 = 2*s, 0*f = -2*f + 5*s - 23 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 4:22 AM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + j - 6, -2*r - 4*j = j - 24. Solve 3*c - r = 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*g**3 + 30*g**3 - 6*g**3)*(-6 + 23 + 18) to n*g**3 + b*g**2 + x*g + y and give n.\nAnswer: 1120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*m - 5*y - 89 = 0, 5*m + 6*y - 9*y = -30 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/6 + 7*q**2\/3 - 31*q\/6 + 8\/3.\nAnswer: (q - 1)**2*(q + 16)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqgqgq. What is prob of picking 2 q?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 92867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -w**4\/8 + 541*w**2. Let a(i) = -484*i. Calculate k(a(x)).\nAnswer: 1452*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, s: 8, o: 3, u: 2, k: 2}. Give prob of sequence uoo.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 46, 76, 112, 154, 202, 256?\nAnswer: 316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*p**2 + p**2 - p**2)*(-2*p**3 - 2*p**3 + 2*p**3) - 113*p + 81*p**5 + 174*p**5 + 113*p.\nAnswer: 225*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -8.0000033. What is i rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 436 + 326 = 6*v. Let g = 161 - v. Does 21 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(-2 + sqrt(5)) + sqrt(720) + 1 + 3*(1 + 1*sqrt(5))*6)*1)**2.\nAnswer: 1350*sqrt(5) + 4270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -5. Let x(o) be the first derivative of 15 - 12*o**3 + 15*o**3 - o - 7. Calculate x(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8832 and -0.0458.\nAnswer: 404.5056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1520?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zquuuqinnuqiizquuu. What is prob of sequence uu?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -82, -35, -4\/7, 5.\nAnswer: -82, -35, -4\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -18, -15, -8, 3, 18, 37?\n\"Answer: 2*b**2 - 3*b - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 2*k - 1472 = 0. List the prime factors of k.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6447441 divided by 23617?\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.23 - -56.\nAnswer: 57.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10721509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -240*v + 5. Is q(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 1:59 AM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 57*k**3 + k**2 + 2*k + 2. Let c be r(-1). Let u = 39 - c. Suppose 0 = 2*f + 2*q - 50, 2*f - u + 36 = -5*q. Does 22 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7620 - -5411. Let z = s + 2332.9. Let j = 119 - z. What is j rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21032 to the nearest 1000.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1035925.399868 + -1035850.4. Let z = 471.2 + -546.2. Let m = z + l. Round m to 5 dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12282.\nAnswer: 2, 3, 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 16184.99879 rounded to the nearest integer?\nAnswer: 16185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-110)\/24)\/11)\/(-57*(-95)\/456)?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -15040, -30100, -45160?\n\"Answer: -15060*c + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -3*k - 7*t - t + 9*t, -35*k - 173 = -t for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*g = 66*g - 21. Let w(j) = -j**3 + 21*j**2 + j - 15. Let l be w(g). What is the greatest common factor of 21 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -70*c**4 + 2*c**3 + 4*c**2 - 4*c. Let v(w) = w**4 - 2*w**2 + w. Let p(x) = -i(x) - 8*v(x). Find the third derivative of p(n) wrt n.\nAnswer: 1488*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 252 = -3*o + 4*o, 0 = j + 2*o - 45. Let q = j + 21. Let m = -25 - -43. Calculate the highest common divisor of m and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 - -195531637\nAnswer: 195531637.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, w: 17}. What is prob of picking 2 n?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2212*w**2 - 12*w + 12*w - 5827*w**2 - 928*w**2 + (3 - 3 + w**2)*(-1 - 1 + 3) as p*w + m + i*w**2 and give i.\nAnswer: -4542","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -330104.\nAnswer: -5\/330104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24548 (base 12) to base 6.\nAnswer: -1015332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -610722 (base 9) in base 13?\nAnswer: -c8693","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 902 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: Is 100634663 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 560*g**3 - 5*g**2 - 8*g + 6. Let c be t(1). Calculate the greatest common divisor of c and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) -3 (c) 9 (d) 3.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -478650557*j + 7*j**2 + 478650557*j.\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15 + 138a?\nAnswer: 13a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/sqrt(9)*-1)\/(sqrt(14)\/sqrt(7)*-6).\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -926694 divided by -3.\nAnswer: 308898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and 35500850919013.\nAnswer: 35500850919014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-84)\/49)\/((-2)\/7). Let t(i) = i**3 - 7*i**2 + 9*i - 8. Let u be t(a). What is the greatest common factor of 50 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -797\/5 + 159. Sort -0.06, k, 1\/3 in decreasing order.\nAnswer: 1\/3, -0.06, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 9, s: 1, m: 1, n: 2}. What is prob of sequence njsm?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**3 - 233 - 135*m**4 - 489*m**4 - 232 - m**2 + 466 to n*m + i*m**2 + a*m**4 + u*m**3 + y and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52\/(-205) - (-566)\/1415?\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 8*x - 29. Let h be q(4). Suppose h*v = 9*v + 192. Let z = v + 35. Solve -w = -z*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/527268 and -113\/527268?\nAnswer: 527268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -6*v + 5. Let u(s) = s - 1. Let n(h) = c(h) + 5*u(h). Let b(i) = 3*i. What is n(b(a))?\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 3*i = -9, 0*i = 4*y - 2*i - 6 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 402.\nAnswer: -2\/201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17588, 17524, 17336, 16964, 16348, 15428, 14144?\nAnswer: 12436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*l + 10*l - 2*l - 72*l in the form b*l + w and give b.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 11*b**2 + 88*b + 69. Calculate k(-6).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -465039*m**4 + 31*m**3 + 135231530*m wrt m.\nAnswer: -5580468*m**2 + 186*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 27 - (74 - 19) - -53\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1432506 by -1.\nAnswer: -1432506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 4*t - 6, d - 3*t + 7 = 0. Suppose -d*y - 3 = 7. Let n = 7 + y. Solve -w + 3*w + n*k = 2, -11 = 3*w - 4*k for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -2*r - 3*h + 78, 31 = -2*r + h. Let t be 6\/3*r\/6. Let c(u) be the first derivative of u**4\/4 + 4*u**3\/3 - 3*u**2\/2 + 2*u + 2238. Give c(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68\/2395, -50, 6.\nAnswer: -50, -68\/2395, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -a**5\/4 + a**4\/6 - a**2\/2 + 2*a. Calculate the smallest common multiple of (9\/(-9))\/(1\/(-2)) and b(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w*w\/w**(-1)))\/(w*(w*w**(1\/2))\/w)*(w**0)**(-3) assuming w is positive.\nAnswer: w**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -5*s + 45, 3420 + 3440 = -2*s + 4*j + 6710 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 k when four letters picked without replacement from {q: 1, w: 4, k: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 3. Suppose 0 = -2*a + k - 2*k + 75, -4*k + 12 = 0. Let j be 1 - 30\/a - 3\/(-198). What is the nearest to g in 7, -5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 255 and 633?\nAnswer: 53805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/1*22\/4785*-29?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**3 + 11*o**2 + 4*o + 3. Calculate q(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 189\/107?\nAnswer: 189\/107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, x: 3, h: 1, q: 1, v: 12}. What is prob of sequence qvxh?\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 1497244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003036731 to five decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 79, 67, 53, 37, 19, -1, -23?\n\"Answer: -s**2 - 9*s + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i + i + 2*i)*(779*i - 779*i - 5*i**2 - 31 + 1) to f*i**2 + m*i + n*i**3 + b and give m.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9118942\/9 or -1013217?\nAnswer: -9118942\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r**3 - 6*r**2 + 17*r - 4. Let i be a(4). Let g = i + -155. Solve -1 - g = -2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l - 10 = -11*l. What is the biggest value in -2\/9, l, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -156, -291, -418, -501, -504, -391, -126?\nAnswer: 327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 261874373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46133.\nAnswer: 46133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4551 (base 6) in base 7?\nAnswer: -3064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + o**2 - o. Let p(k) = -2*k**3 + 14*k**2 + 6*k - 10. Let v(a) = 3*i(a) - p(a). Give v(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 3c10?\nAnswer: 3c15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(576)*1)\/(-2*(sqrt(2) + sqrt(32) + sqrt(2))).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6206002721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of w**4\/4 + 11*w**3\/3 - 13*w**2\/2 - 8*w - 19. Let z = -1 - -6. What is the remainder when z is divided by i(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 20, 52, 98, 158?\nAnswer: 232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of 20*x**3\/3 - 2*x**2 - 2*x + 31. Let t(l) = l**3 + 9*l**2 + 8*l. Calculate the remainder when t(-7) is divided by i(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/2 + 1 + -4. Solve d**2 + 3*d**j - 308*d**3 + 306*d**3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52173 is divided by 542?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 2*x + 4*x)*(-3*x + 0 - 14*x**4 + 3 + 12*x**4).\nAnswer: -6*x**5 - 9*x**2 + 9*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -1 - 4486*f + 1 + 4488*f. Let v(u) = 29*u**2 - 1. Calculate v(w(n)).\nAnswer: 116*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/11 (b) -0.2 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13545 = p + 2*z, -4*p - 15008 = 5*z - 69200. List the prime factors of p.\nAnswer: 13553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 14*d + 12 = 0. Suppose -3*f + 1326 = 3*y, d*f + 7*y = 5*y + 1758. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p + 1. Suppose 12 = -5*h + 9*h. Calculate the remainder when v(3) is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8027495?\nAnswer: 5, 7, 211, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1852999 is divided by 1000.\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) -3 (b) -1\/5 (c) 1 (d) 2.89 (e) -0.14 (f) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.5 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3 - 2764*y**2 + 481600*y - 1420032.\nAnswer: 4*(y - 344)**2*(y - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 27*f - 22.\nAnswer: 27*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 193608704?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 557 is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -141884*s**4 + 141765*s**4 + 2*s**2 - 3*s + 0*s**2 - s**2 - 2 + s**2 as f + r*s**2 + y*s + p*s**4 + v*s**3 and give p.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/21 and 55\/204384.\nAnswer: 1430688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hr when two letters picked without replacement from rohpp?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*a**2 + 60*a**3 - 28*a**3 - 37*a**3 as y*a**3 + f + b*a + v*a**2 and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12665659*y**3 - 53547076*y**2 wrt y?\nAnswer: 75993954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 4:14 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 253*20\/(-11 + 231).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 5*z + 33, 5*z = -t + 6*t - 35. Let q = -9.807 + 9.847. Which is the biggest value? (a) z (b) -2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 12:19 AM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3124234 divided by 11.\nAnswer: -3124234\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + 6*b - 4 + 4*b - 6*b + 0*b - 5*b. Let k be w(5). Let a(q) = -q**2 + 17*q + 7. What is a(k)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*o + 204 + 15 = -81. Let d(f) be the second derivative of 1\/75*f**6 + 0 - 9*f + 0*f**2 - 1\/30*f**3 + 1\/15*f**o - 1\/20*f**5. Factor d(p).\nAnswer: p*(p - 1)**2*(2*p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 622785*t - 857425.\nAnswer: 622785","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 450542 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 171 - 168. Let n(v) = v**3 - 3*v**2 + 2*v - 5. Let z be n(x). Calculate the highest common factor of 52 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54 + -54. Suppose 0 = -r*w - 2*w. Solve w = -4*h + 2 - 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24763 * -1.\nAnswer: -24763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 3\/5, 3\/4, 505\/18, 0.5 in increasing order.\nAnswer: 0.5, 3\/5, 3\/4, 3, 505\/18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*r - 25*r - 84 = 0. Suppose -5*k = -154 + r. Suppose -3*a + 16 = -k. What is the least common multiple of a and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 223*-1.\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000062437 to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 - -c479?\nAnswer: c472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-4\/7)*y**(20\/9) assuming y is positive.\nAnswer: y**(239\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 426880 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4\/3 + 7628*m**3\/3 + 14454772*m**2\/3 - 116738912*m + 702637248.\nAnswer: (m - 12)**2*(m + 3826)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -9. Suppose 3*z = 1 + 8. Let o be (-180002)\/z - (-4)\/i. What is o rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1579\/285 - 27\/5. Calculate the common denominator of w and -47\/9.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2052.3 + -2052. What is the nearest to 1 in 112, m, -2\/17, -2\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36b8 (base 12) to base 10.\nAnswer: 6188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2699862 to the nearest integer?\nAnswer: 1643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 16*i**2 - 5*i - 136. Let t(h) = -15*h**2 + 6*h + 137. Let s(k) = -6*t(k) - 7*w(k). What is the derivative of s(d) wrt d?\nAnswer: -44*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7006992.\nAnswer: 2, 3, 17, 31, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 4*m**2 + 18*m - 33. Determine t(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from twwtwwutwttwtwtu. What is prob of picking 1 w and 2 u?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o - 23. Let n be b(-13). Suppose -3 = 5*s - n. Suppose -4*d + 3*t + 9 = s, 2*d + 4*t + 0*t = -12. Solve d = p - k + 6*k + 7, 5*k = -5 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16082569?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -15*k**4\/2 + k**3\/3 - 25*k - 42. What is the third derivative of d(p) wrt p?\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -4, 2\/17, -0.2 in increasing order.\nAnswer: -4, -0.2, 2\/17, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5*o**2 + o**2 - 7*o**2 - o**2. Let j(v) = 21*v - 103 + 103. Let z(t) = -5*t. Let i(p) = -4*j(p) - 15*z(p). Give b(i(k)).\nAnswer: -162*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21.3 - -23.3. Let l = -635\/4 - -160. Which is the third smallest value? (a) f (b) l (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 1587 = -5*q, -3*f = -7*f - 4. Let x = 317 + q. Solve -b = -3*u + 11, u - 2*b + b - 1 = x for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*d + 68*d = -96. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0111 plus 3.93?\nAnswer: 3.9411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-67)\/(-67)*8\/(-16)*(-2)\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 627 a factor of 12077838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u*u**(-5\/9)*u)\/u)\/(u*u*u**16))\/((u*u\/(u\/u**(-3\/8)))\/(((u**(3\/8)*u)\/u)\/u)) assuming u is positive.\nAnswer: u**(-641\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/14180 and 41\/45.\nAnswer: 127620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -181 - -302. Suppose -5*c + 6*c - k = 0. Suppose 4*p = 5*q + c, 0 = 5*p - 5*q + 18 - 163. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3285\/19 + (-26)\/(-247)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40101707 is divided by 318.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -123 - -135. What is the second biggest value in -1\/4, -2, j, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30889.35100094 - 30888.381. Let o = -0.97 + j. Round o to 7 dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l - 8*l = 0. Is l - 4 - (-1083 + -2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -612566\/113 - -5421. Do q and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73051853723 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 433 = -469. Let d(t) be the second derivative of t**4\/4 - 2*t**3 - 5*t**2\/2 + 2*t. What is the units digit of d(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1)*m*m)**(-3\/29)*m**(2\/9)*m**(-7) assuming m is positive.\nAnswer: m**(-1796\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15043153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 717196.52 + -700144. Let y = 17431 - s. Let z = y + -386. What is z rounded to 0 decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/12258 and -34\/32109.\nAnswer: 131197374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (-41 + 17 - (-17 + (-10 - -8))).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1020020101202010 (base 3) to base 9\nAnswer: -36211663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -l**5 + 5351*l**4 + 21438*l**3 - 96282*l**2 - 578205*l - 722925 = 0?\nAnswer: -3, 5, 5355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -96253697.2 to the nearest one million.\nAnswer: -96000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -18 - (145 + -133)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -362*i**2 + 3*i. Let n(o) = -118384*o**2 + 980*o. Let c(f) = -6*n(f) + 1960*x(f). Let y(u) = -7*u**2. Calculate c(y(q)).\nAnswer: 38416*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 9 + 3. Which is the nearest to 0.1? (a) 2 (b) y (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1317 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 9:29 AM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1047929, -1047923, -1047913, -1047899?\nAnswer: -1047881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**8*p**(-2\/41))\/((p*p\/p**(-1\/8)*p)\/((p*(p\/p**29)\/p)\/p)) assuming p is positive.\nAnswer: p**(-7929\/328)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 12 - 2*p**2 - 2*p + 6*p**2 - 3*p**2. Let y be d(-10). Suppose -4*a - y = -8*a. Is a a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25126894?\nAnswer: 2, 13, 966419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 - 1026 + 1026 - 10*p**3)*(-3*p**2 - 3*p + 3*p).\nAnswer: 30*p**5 + 6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - sqrt(2057)*1)**2 + sqrt(17) + 3*(sqrt(17)*3)**2 - (2 + (sqrt(1700) - -1*sqrt(1700)) + sqrt(1700) + sqrt(1700) + 2)**2.\nAnswer: -25057 - 319*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.17? (a) 0.1 (b) -0.11 (c) 1 (d) -0.3 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -51*r + 199 + 56. Sort -7, -3, -62, r.\nAnswer: -62, -7, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23366046 is divided by 1579?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + (sqrt(57)\/sqrt(3) - sqrt(19)) + -4 + (-2*sqrt(171))\/sqrt(9).\nAnswer: -sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -7*q - 2*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from liihlhlil. What is prob of sequence ilil?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (2*4)\/((-79)\/((-2133)\/36))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 5*o**2 + 6*o + 5. Let w(k) = -k**3 - k**2 + k + 1. Give -b(i) + 5*w(i).\nAnswer: -4*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g*g\/(g\/(g**3\/g))*g)*g))**25)**42\/((g**1\/g**(2\/5))\/(g**(-2\/13)*g**(-3\/2)*g)) assuming g is positive.\nAnswer: g**(409337\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.047 + -0.047. Which is the closest to -0.1? (a) -3 (b) v (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28\/6863 at least 58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 4*o - 236, 4*o = 5*o - 3*r - 47. Suppose 4*h = -0*h - o. Let i(s) = -s**2 - 2*s + 2. Let j(m) = -3*m**2 - 7*m + 7. Calculate h*i(c) + 4*j(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8154 divided by 322.\nAnswer: 4077\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -118 - 190 - 116 + 451 - 177*z to the form d + o*z and give d.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 681 - (8 - 4)\/((4 - -7)\/11). Let o = -1 + 1. Suppose -2*n - 159 + y = o. Is 37 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*i = 41*i - 4. Let o(c) = c**2 - 1. Let y(v) = 2*v**2 - 1. Let d(g) = i*o(g) - y(g). Let a(u) = 20*u**2 - 274*u + 274*u. Give a(d(t)).\nAnswer: 20*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -2)*-3 + (-379 - -382).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/4129993 and -53\/1769997.\nAnswer: 12389979","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 649513 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1075 (base 8) in base 10?\nAnswer: -573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 5:58 AM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164904908?\nAnswer: 2, 7, 5889461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-30)\/((12\/(-4))\/1). Let i = -40 - -45. Sort u, i, -5 in decreasing order.\nAnswer: u, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2108326 and 47047?\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -6*i**3 - 10*i**2 + 4*i + 7. Is s(-16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -142099070 rounded to the nearest 1000000?\nAnswer: -142000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 137 - (1 + -3 + -15 + 47).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3015, 3013, 3011, 3009, 3007, 3005?\n\"Answer: -2*d + 3017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + 3 + 23 + 48 + -103?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 2*r + 135, -4*r + 3 + 75 = 2*t. Calculate the remainder when 86 is divided by t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a7 - 7?\nAnswer: 1a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 8*w. Let i(z) = -3686*z - 85. Determine i(l(d)).\nAnswer: -29488*d - 85","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + m**2 - m. Let d(z) be the second derivative of -7*z**5\/20 - z**4\/12 + z**3 - z - 2138. What is d(o) + 6*i(o)?\nAnswer: -o**3 + 5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -5*t - 7. Suppose 24 = 3*r + 3*s, 2*r - 3*s - s = -14. Give k(r).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8803717*w**2 - 3737420*w?\nAnswer: 17607434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-48)\/(-30) - (-3)\/(-2). Let h = -1.4 + -4.6. What is the third smallest value in k, h, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1696434 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 54675967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 d when three letters picked without replacement from dddmmmm.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*q = -859*q + 139*q + 36124 + 4862 for q.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 3:42 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 4, 0.161, -43\/25?\nAnswer: 0.161","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 7:43 PM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from naafllalhnahninanlaa. What is prob of picking 1 n, 1 a, and 1 h?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 269*s - 429 + 4195 = 0 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-4) + 98\/8. Suppose 2*m + l = 5*m. Suppose -3*j + 13 = 5*s - 63, 2*j = s + 42. What is the least common multiple of j and m?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13564401634 - -4?\nAnswer: 13564401641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o\/(o**(1\/3)*o*o)))\/o*o)**(-1\/8))**22 assuming o is positive.\nAnswer: o**(-77\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus 0.247337?\nAnswer: -3.247337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 - 16. Let u be (1 + 0\/3)*d. Suppose 5*o + 6*a + u = 2*a, -2*a = -2*o + 8. Solve -5*m + 0*m + 20 = o for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - l - 1923, 2*z + 2*l + 1926 = 6*z. Suppose 8*n - 12*n + 685 = -5*o, -z = -3*n - 3*o. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -279*d - 588*d + 802 - 6004 = 0 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 + 20. Suppose r = -0*k + 2*k. Suppose 2*a - 7*a + 85 = k. Calculate the smallest common multiple of a and 5.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 8 + 12 = 3*b + 2, 30*b - 2*k = -3*k + 27 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1504, 1956, 2408, 2860?\n\"Answer: 452*w + 1052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 42169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.000928 and -0.4.\nAnswer: -0.0003712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15922 is divided by 7604?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.27944 + -0.28. What is v rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9886 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*w - 1112 = -22*w + 149 + 533 for w.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8, -10, -12, -14?\n\"Answer: -2*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -10100001111100 (base 2) to base 8\nAnswer: -24174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) - (sqrt(76) - 3*-1*sqrt(76)) - sqrt(76) - -4*(sqrt(76) + sqrt(76)*-2))\/(((sqrt(224)\/sqrt(4))\/sqrt(7))\/sqrt(2)).\nAnswer: -8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + -2 + 4)\/1. Suppose 3*w + t*w - 42 = 0. Suppose -m = -0*m - w. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + 3*y + 3. Let a = -7 + 12. Let f(u) = -u**2 + 7*u - 7. Let h be f(a). Let c be g(h). Solve 5*k - k - 22 = -q, -c*k + 11 = -2*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 25*a - 38. Let j be h(25). Let c(w) = w**3 + 39*w**2 + 26*w - 84. List the prime factors of c(j).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**7*z**(9\/4)*(z**(1\/2))**(-1\/11) assuming z is positive.\nAnswer: z**(405\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 1760d5?\nAnswer: 1760d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 761185366.\nAnswer: 2, 6029, 63127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in six fifths of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y + 7. Let r be b(13). Suppose 0 = 29*q - r*q + 400. What is the remainder when q is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -16227 (b) 1\/2 (c) 13 (d) -542\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 8:29 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 616\nAnswer: 5\/616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 12.6 (b) -0.5 (c) 57 (d) 0 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 892*v + 277. What is the thousands digit of f(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2452920 and 13980.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -3388.52275 to 0 dps.\nAnswer: -3389","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a factor of 1445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 6 = t, 2*k + 10 = -3*k - 3*t. Let a = 17\/229 + -26047\/2290. Find the common denominator of (-287)\/(-14)*k\/4 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a centimeter in micrometers?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-968)\/(-55) + 6\/(-10). Suppose -o + 5*o - 32 = -2*g, -o + t = 2*g. Let k be (-28)\/3*g\/(-4). Solve 3*c + 0*c + r = -k, -4*r - 6 = 2*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f + 2*f - 6*f**2 - f**3 - 3*f. Let w be o(-4). Let l be (-2)\/2*w\/1. Solve 0 = 4*c + l - 4, 3*g + 3*c = -3 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1154 - -7273. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 7*y**2 + 6*y + 5. Let w be g(6). Let v = 255 + -258. Which is the smallest value? (a) w (b) 2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4*(((1 + sqrt(720))*1)**2 - 3*(sqrt(720) + -2)) + 1) + 0.\nAnswer: -11636 + 192*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 831*c + 11. Is p(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-9)\/18)\/((-4)\/60504) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b268 - -6?\nAnswer: -b262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 60*a**2 + 105*a - 120. Let l be x(-58). Calculate the highest common divisor of l and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -5*k + 3832. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/(-3*2*sqrt(8)).\nAnswer: -sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1679 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*x**2 - 10*x**4 + 7*x**2 + 8 + 8 with respect to x.\nAnswer: -40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**3 - 5*n**2 - 5*n - 6. What is j(-3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 72 = -4*m, 3*m + 2*t - t = 58. Calculate the highest common factor of 100 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 93.7 + -93. Let n = g + -0.73. Let p = n - -1.03. Are p and -1\/19 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s*s**0*s*s*s*s)*s*s)**26)**(-28) assuming s is positive.\nAnswer: s**2184","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 13\/(364\/8) + (-342)\/(-28). Let p = h - 77\/6. Which is the closest to -1? (a) p (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 65 - -135. Let m = c + -199.999255. Round m to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 5*t**2 - 135*t + 130 = 0?\nAnswer: 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 51*c + 7. What is r(2)?\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*n + 3277708 + 3252785 = 757952. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70202990 by 5400230.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -616*x**3 - x**2 - 107*x wrt x.\nAnswer: -3696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(3*m - m**2 - 3*m) + 2 + 8*m - 18*m + 2*m**2 + 11*m + (0*m - 2*m + m)*(m + 1 - 1).\nAnswer: 3*m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -641 - 4\nAnswer: -645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 12*q + 14. Let i be p(11). Let d(y) = -y**3 + 5*y**2 - 4*y - 1. Let n be d(i). Let o(g) = g**2 - 3 - g**3 - n*g**2 + 0. Calculate o(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 441214 (base 7) in base 10?\nAnswer: 77284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**2 - 6822*j - 61236 = 0. What is j?\nAnswer: -3402, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -1983*f - 17843. Determine a(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -7556*u. Let z(f) = -f + 64. Let h(j) = 4*j - 224. Let k(w) = -2*h(w) - 7*z(w). Calculate k(v(x)).\nAnswer: 7556*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 x when four letters picked without replacement from {x: 3, l: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of y**7\/210 - 11*y**6\/12 - 37*y**5\/60 - 92*y**2 + y. Find the third derivative of u(s) wrt s.\nAnswer: 24*s - 660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1054 divide 40058122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 316603 - 15?\nAnswer: 316577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 0. Let g = u - -2. Suppose -33 = -5*w - g. Solve 5*x + 21 = -w*z, -2*z + 0*z - x - 9 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-4))\/(14\/(-8)). Which is the smallest value? (a) -0.05 (b) 3\/2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32483017*n**5 - 2038*n**2 + 4654*n wrt n?\nAnswer: 1948981020*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 30.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) -2\/13 (b) -4 (c) -81\/4 (d) -179\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.491407 kilometers in micrometers?\nAnswer: 6491407000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + 8. Solve 4*q = 3 - v for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*4\/12*2\/(-20).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -200672.4.\nAnswer: -401344.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 214.6 and -140.\nAnswer: 74.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - 1776.\nAnswer: -1776.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 63*o**2 - 4*o + 1. Let s(n) = 64*n**2 - 3*n + 1. Calculate -4*s(f) + 3*u(f).\nAnswer: -67*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 57415939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*m**3 + 42*m**3 - 13*m**3 - 2*m**4 + 3*m + 8*m**2 - 12*m**3 - 2 in the form g*m**3 + j*m**2 + h*m + n + d*m**4 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 108.67 millilitres?\nAnswer: 0.10867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-150 - 616*b + 1235*b - 617*b)*(0 + 2 - 1).\nAnswer: 2*b - 150","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*m - 551 - 2527. What is the remainder when m is divided by 50?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 231.319 + -232. Let j = d - -0.061. Round j to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24341?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -330100 (base 5) to base 15.\nAnswer: -351a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(6 - (-2 - 38)). What is the derivative of -o - 6 - 139*g**2 + 12 + 122*g**2 wrt g?\nAnswer: -34*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224 = -2*m - 4*q, 2*m - 138 - 81 = q. List the prime factors of m.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -289*y = -262*y. Solve -4 = 9*w - 8*w, 3*p - 2*w + 1 = y for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwzazaaoznaanoaoo. What is prob of sequence ow?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 13\/(-117)*0*1. Let u = 1 - 1.2. Let c = u - -0.1. What is the second biggest value in 0.05, r, c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4\/5, 0.01, 5, -2\/5, 4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25422696601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333151281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1112001311 (base 4) to base 12.\nAnswer: 14bb05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -682.847 - -20.96462.\nAnswer: -661.88238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2 = 7. Let m(v) = 2*v**2 + v - 1. Let y be m(l). Suppose y*n + 3*q = -0*n, n - 11 = 4*q. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 91 - 84. Let v(y) = 4*y + j*y**2 - 13*y + 2*y**2 - y**3 - 6 + 0*y**3. What is the tens digit of v(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 10 = -2*f. Suppose 3*b - 123 = -4*h, -f*h + 154 = 4*b - 3*h. What is the remainder when b is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4 = 3. Let k(m) = 8*m**2 - 240*m + 228. Let q be k(29). Put 0, r, q, 46 in decreasing order.\nAnswer: 46, 0, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -5 + 22 - n**2 + 22*n - 11*n. Let h be d(12). Differentiate -3*a**3 - 14 + h + 2*a**3 with respect to a.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10113.367 rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, 82, -1\/5, 5\/4, 0.4?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.17943015 times 0.02?\nAnswer: -0.023588603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q**2. Let n(w) be the second derivative of 353*w**3\/6 + 1317*w. Calculate n(r(v)).\nAnswer: -1059*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 6*x**2 - 6*x - 5. Determine p(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(30\/(-4)) - (-80)\/(-15). Let c(n) = n**3 + 3*n**2 - 4*n - 3. What is the remainder when c(-3) is divided by 9\/p*-2 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -77.8 + 0.8. Let c = -75 - i. What is the third smallest value in -4\/7, -3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/5)*h\/h**(2\/23)*h)\/((h**(-5\/4)*h)\/(h\/h**5*h)))\/(((h**(-2\/9)\/h)\/(h**(2\/3)*h*h))\/(h**(2\/7))**9) assuming h is positive.\nAnswer: h**(157169\/28980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -4*y - 14083, 0 = 5*y - 6*y - 2. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 2. Let x be (0*u\/4)\/(-1). Is 4 a factor of (6 - -2) + (x - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 - ((-40 - -85) + -37).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -91*l**2*q**2 + 42*l**2*q*r**2 + l**2*r**2 + l**2*r + 28*l*q**2*r**3 + 2*l*q**2 + 19*l*q*r - l*r**3 wrt q.\nAnswer: -182*l**2 + 56*l*r**3 + 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -58, -118, -178, -238?\n\"Answer: -60*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 91671 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) -18 (c) 0.4 (d) 6 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u**2 - 30*u - 30. Let o be c(-1). Sort o, 13, 0, 0.4 in decreasing order.\nAnswer: 13, o, 0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-2\/11)*m\/m**(1\/8))**(-5\/17))**(-38))**(-17) assuming m is positive.\nAnswer: m**(-5795\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 17. Calculate the remainder when c is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k**2 - 36*k - 12. Let d be f(-11). Suppose -d*n + 780 = -228. Which is bigger: n or 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0595863 + -230.8500137. Let g = -231 - o. Let t = g + 0.09. What is t rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c + 3. Let r(b) = b - 2. Let v(x) = 3*r(x) + 2*y(x). Let f(t) = -4*t - 76 + 76. Determine v(f(q)).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*b - 14*b + 1232 + 592 = 0 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38455463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xf when two letters picked without replacement from xfffffxffxf.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2007558 divided by 2538.\nAnswer: 791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**3\/4 - 75087*f**2\/2 + 1883550339*f\/4 - 26252100042 = 0 for f.\nAnswer: 56, 25001","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 at most as big as -205\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -824*x**2 - 833*x**2 - 834*x**2 - 827*x**2 - 26*x + 4142*x**2 - 827*x**2.\nAnswer: -3*x**2 - 26*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 58241008 and 2377184?\nAnswer: 116482016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, c: 15}. What is prob of picking 4 c?\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1011210201 (base 3) to base 13\nAnswer: a726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d*d\/(d*(d**(-2\/5)\/d)\/d)*d)\/d**(3\/5))\/(((d\/(d\/d**4))\/d)\/d**(-4)) assuming d is positive.\nAnswer: d**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.0789 * -123\nAnswer: -9.7047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n + 9. Let s be o(7). Differentiate -21*b**s + 5 + 55*b - 55*b wrt b.\nAnswer: -42*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1234 and 6619?\nAnswer: 8167846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -954 = -21*o - 138*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3\/4 - 129*l**2\/2.\nAnswer: 3*l**2*(l - 86)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26406 and 6894?\nAnswer: 10113498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4639?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4154.685 take away 3?\nAnswer: -4157.685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 200364 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000051163173 to 6 dps.\nAnswer: -0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4*f + 37. Let x be k(-8). Solve n - x = -1 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2129539013?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -6*c - 454. Let y be (c - (0 - -1))\/(-1). Let d = y - 118. What is d rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 54 - 96, -4*f - 2*h + 70 = 0. Let a(o) be the second derivative of 1\/30*o**3 + 1\/5*o**2 + 0 - 1\/60*o**4 - f*o. Factor a(y).\nAnswer: -(y - 2)*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -22*p - 14. Let n be m(-2). Let t = 46 - n. Calculate the remainder when 31 is divided by t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sac when three letters picked without replacement from {s: 1, a: 2, c: 1, q: 2, j: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 207340 (base 8) to base 6\nAnswer: 1253012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*f*j**3 - 69*f*j**2 - 382*f - 5516*j**3 wrt j.\nAnswer: -18*f - 33096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 32838 (c) 0.07 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 165488, 165633, 165884, 166247, 166728, 167333?\nAnswer: 168068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 809477.9*-0.07\nAnswer: -56663.453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 28 + 0 - -16?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 2\/5, 4, -54?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and ((-6)\/(5 + 1))\/(1\/(-6)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*((0 - 3) + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11000110110110111 (base 2) to base 8\nAnswer: -306667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2439 + 3011. What are the prime factors of c?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((81200\/728)\/145)\/(2\/130).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 21*(44\/(-14) - -4). Solve -29*j = -a*j + 22 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21962.88l?\nAnswer: 21962880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 691 + 14322. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + ((-1001)\/28)\/13. Which is the smallest value? (a) -1\/2 (b) -5 (c) -12 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 18a - 1?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 3*m**3\/4 + 6111*m**2\/4 - 12258*m + 24540 = 0.\nAnswer: -2045, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (4\/6)\/(1\/3*-13)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from lulullluululu.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1617 and 154?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296*f + 11094 = 60*f - 22*f for f.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7679847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -226 - -49784?\nAnswer: 4955b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - j = -2*t + 16, 0 = -5*t + j + 28. Suppose 5*m + 7 = -8. Put t, m, 0 in increasing order.\nAnswer: m, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-24)\/(-9))\/(33\/(-27)) + 2. Which is the biggest value? (a) r (b) 0.2 (c) -10 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -2*n - 16, 0 = 6701*n - 6706*n - 5*q - 75 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 + 0)*(2*u + 3*u - u)*(4 + u - 4) as y*u + w + c*u**2 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*p + p**3 - 3*p - 3*p**3.\nAnswer: -2*p**3 + 8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of 0 + 0*a**3 + 1\/12*a**4 + 4*a + 0*a**2. Let u(k) = 12*k**2. Give u(m(n)).\nAnswer: 12*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25276564, 25276565, 25276566, 25276567, 25276568, 25276569?\nAnswer: 25276570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-147 - -148) + (-6 - -17)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 4:21 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, d: 1, g: 1, q: 2, h: 2}. What is prob of picking 1 i, 1 q, and 1 h?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -603*d + 5503 wrt d?\nAnswer: -603","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4429227414?\nAnswer: 2, 3, 738204569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1498 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a centimeter in micrometers?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 4*n + 61. Calculate z(-13).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-1)\/2)\/(786\/524) + 252\/(-20)?\nAnswer: -58\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 4 + (sqrt(2299) - 2*sqrt(2299))*-1 + sqrt(2299) + -4)**2*4 + 0 + 0.\nAnswer: 528*sqrt(19) + 36820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 126 = -52*n + 121*n - 52*n, -4*p = n - 0*n + 35 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -31, -25, -7, 23, 65?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/3 - 85004*r\/3 - 28334.\nAnswer: -2*(r + 1)*(r + 42501)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 13*m**2 - 3*m - 1354. Let z(c) = 29*c**2 - 7*c - 2709. What is 9*n(x) - 4*z(x)?\nAnswer: x**2 + x - 1350","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -472677 > -472650?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 s when three letters picked without replacement from zkzzsskkkkkkzkkkzkz.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f - 9. Let d be b(6). Let y(w) = 24*w - 22. Let m(a) = a - 1. Let l(x) = -44*m(x) + 2*y(x). Is 6 a factor of l(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**2 - 39*r - 125. What is f(-16)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u + 10*u = 5*t - 3769, 4*t - 5671 = -3*u. List the prime factors of u.\nAnswer: 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -469*l**2 - 4*l + 133.\nAnswer: -938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 7*x**2 + 6*x + 2. Let p be q(6). What is the second derivative of 42 - 42 + 2*i**p + i wrt i?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + -2)*2\/4. Let o = -1 - a. Suppose -n + 4 = -o. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -62*l**2 - 102*l wrt l?\nAnswer: -124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qzz when three letters picked without replacement from zzq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i + 3*v - 45 = 3*i, -4*i + 4*v + 36 = 0. Let o be (-19)\/((4 - 2) + i\/(-3)). Suppose -3*j + o = 7, 4*f = -3*j + 584. Is f a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -50, -70, -96, -128, -166?\nAnswer: -210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.1 (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -57 times -685\nAnswer: 39045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 6:03 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 422932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -14*y + 44. Suppose -y*u - g + 19050 = 0, u = -2*g - 2*g + 6361. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f - 3*f + 61*f**2 + 11 - 60*f**2 - 10 to the form z + l*f**2 + p*f and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 17 = 28*s - 179 - 2, 5*w - 145 = -5*s for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 v, and 1 h when three letters picked without replacement from {l: 2, b: 2, v: 1, q: 11, y: 1, h: 1}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.65 - -2.46. Let m = -0.19 - z. Let g = 1.1 - 0.8. Which is the smallest value? (a) 4 (b) m (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 5*v - 5. Let m = -1 + -2. Let o be (-1 - -5)\/(2 + m). Calculate w(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (345\/(-6))\/((-4725)\/210*(-2)\/(-18))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202534 is divided by 260.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*r**4 + 1840*r**5 - 13*r**4 - 3*r**4)*(3 + 3 + 5).\nAnswer: 20240*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 197 * 760.\nAnswer: 149720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a microsecond in nanoseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k + 30 = 0, 4*d + k - 63 = -68 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3196530 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = h - 5*r + 12, -5*h + 5*r + 10 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4361268787 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-132)\/(-30))\/(0 - 2\/10). Let q = 27 + r. Determine v so that -6*v**5 + 6*v**3 - 4*v**q + 4*v**2 + 12*v**5 + 6*v**4 - 2*v**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40179.5394 rounded to the nearest integer?\nAnswer: -40180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((3 + sqrt(684) + -1)**2 - sqrt(684)) + (3 + -2*sqrt(19) - (sqrt(19) + 1 + sqrt(1900)))).\nAnswer: 25*sqrt(19) + 3450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 8*t**2 - 22*t + 25. Let m be s(10). Suppose m*g + 2*w + 21739 = 8*g, 28947 = 4*g + 5*w. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 20*g**2 - 58*g - 117. Give l(16).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1976144, -3952317, -5928484, -7904645?\nAnswer: -9880800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -12, -48, -110, -198, -312?\n\"Answer: -13*z**2 + 3*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 241*x**2 - 89*x**2 - 71*x**2 - 112*x**2 - 14*x to the form g*x + y*x**2 + z and give g.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 7:56 AM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -6*b**2 + 4*b + 5. Let n(s) = s**2 - s - 1. Give -4*n(c) - p(c).\nAnswer: 2*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44550142 (base 7) to base 3.\nAnswer: -21021011010211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 90347 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -19, -0.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-192)\/(-480) - 2\/(-5)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 32*u + 210. Suppose -v + 2*m = -2, -2*v = 3*v + 5*m - 10. Let r(f) = -f**v - 5*f + 2 + 4 - f + 0. What is r(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 25 = -3*g, 2*g + d + 1 = 17. Find the first derivative of 3*q + g - 4*q - 10 wrt q.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + n - 5*n = 0. Put n, 4, 1 in descending order.\nAnswer: 4, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44318?\nAnswer: 2, 22159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-one halves of a century?\nAnswer: 24600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 5*a + 3 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2107 = -5*a. Suppose 4*x + 2*t = -t + a, -4 = 4*t. What is the remainder when x is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, 2, -1, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) 1\/5 (b) -0.07 (c) -0.4 (d) 0 (e) 263.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a milligram in micrograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 14*m**2 + 18*m - 24. What is the units digit of j(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 11111?\nAnswer: -11122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + d - 2 = -1, 3*p - 11 = d for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kg when two letters picked without replacement from gik.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, 4, -3, 42.7 in increasing order.\nAnswer: -3, -4\/5, 4, 42.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 249690 by 249690.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/q**3)\/q*q)\/q)\/(q\/(q\/(q\/q**(-5)))))**5\/((q\/(q\/(q\/(q\/(q*q\/q**6))))*q**(-1\/2))\/(q**5*((q\/(q\/(q\/q**2)))\/q*q)\/q)) assuming q is positive.\nAnswer: q**(-75\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 48*c + 282 = 90, -d - 6*c = -c - 20 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43255 + 39653 = -1498*c - 74194 + 37262 for c.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 44. Let y = d - 42. Let a = -16.00072 - y. Round a to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -2186.4498?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that k**3\/9 + 2*k**2\/3 - k - 14\/9 = 0.\nAnswer: -7, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of z**4\/4 - 3*z**3 + 5*z**2 + 27. Determine v(8).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 100*y**2 + 2*y - 103. Let r(i) = -700*i**2 - 15*i + 720. Let q(m) = -2*r(m) - 15*s(m). What is the first derivative of q(w) wrt w?\nAnswer: -200*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163736 = -415*j + 407*j. Let l = j + -12558. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 546080 is divided by 20?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 19.50799 millilitres?\nAnswer: 0.01950799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 1882*n**2 + 3*n - 32. Let o(j) = 1881*j**2 + 5*j - 32. Let c(s) = -5*o(s) + 4*p(s). Let v be c(8). Round v to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5295, -4310, -2665, -360, 2605, 6230, 10515?\n\"Answer: 330*l**2 - 5*l - 5620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -7*v - 8. Let w(c) = 41*c + 48. Let z(l) = 34*k(l) + 6*w(l). Let f be z(-2). Solve f = -5*y + 4*o + 4 + 21, -2*y + 10 = -2*o for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, b: 5, o: 4, g: 1, q: 1}. What is prob of sequence qw?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 335857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 56*f + 26 = -58*f, -2*p + 5*f = 5 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3784 minus -8?\nAnswer: -3776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10 * 21.2\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 135 and 60.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 648.00331 + -648. What is k rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 347538*o**3*w + 2*o**2 + 719*o*w - w - 22 wrt o.\nAnswer: 2085228*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-105)\/70*(-148)\/(-8658).\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 1197*x**3 - 4*x**2 - 4*x. Let m(l) = -19152*l**3 + 63*l**2 + 63*l. What is -63*d(y) - 4*m(y)?\nAnswer: 1197*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 5*l**2 + l. Let a(v) = 6*v**2 - v - 2. Let y(w) = 13*w**2 - 3*w - 5. Let x(c) = 5*a(c) - 2*y(c). Calculate 2*p(s) - 3*x(s).\nAnswer: -2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5490 and 732.\nAnswer: 10980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -5, -4.\nAnswer: -5, -4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 79160190 and -3.\nAnswer: -237480570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3633 to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -11. Let y = 2.8 + -0.8. Which is the second biggest value? (a) m (b) y (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1805506616.\nAnswer: 2, 19, 11878333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/3, -1.3, 1\/6, -12, -0.2?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23.4 + 5.4. Which is greater: z or -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qlblb. Give prob of sequence bqb.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s - 3. Let b be q(-3). Suppose -127 = 4*p + 313. Let y = -108 - p. Put y, b, 9 in descending order.\nAnswer: 9, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -v**6 + 382*v**2 + 2*v**4 - 109*v**2 + 97*v**3 - 2*v**4 + 117*v**2 wrt v.\nAnswer: -120*v**3 + 582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**2 - 2*x**2 - 8*x**2 + (2*x - 2*x - x)*(0*x - 3*x + x) + 22*x**2 - 86*x**2 - 2*x - 55*x**2.\nAnswer: -127*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-60)*2)\/((-4068)\/(-78648))?\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 - (-127 + (217 - 107)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 510*h**2 + 41*h - 191*h**2 - 25*h - 17*h in the form t*h**2 + x + c*h and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -108 + 105. What is the common denominator of -107\/66 and ((3\/1)\/z)\/((-15)\/(-160))?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -6*b**3 - 14*b**2 - 10*b - 2. Let n(y) = -7*y**3 - 15*y**2 - 9*y - 1. Let v(h) = 5*m(h) - 4*n(h). Solve v(j) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a**3 + a**2 - a. Determine b(2).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 37*y**2\/4 + 253*y + 1360.\nAnswer: (y + 20)*(37*y + 272)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 68\/(-51) - (-66)\/45\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 761\/60 + -63\/5. Let n(u) be the second derivative of -1\/20*u**5 + 1\/6*u**3 + 0 + 0*u**2 - 5*u - g*u**4. Calculate n(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10422 + 130440302?\nAnswer: 131001224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*l + 35 = 147. What is the units digit of (-112)\/l*41\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3129 is divided by 987?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/(-4))\/((-6)\/(-28)). Let b be w\/49 - 46\/(-14). Suppose b*o - o = 40. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1100 is divided by 53.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - -114. Let f(s) = s**3 + 8*s**2 + 4*s. Let u be f(-6). Suppose 0 = 3*x + x - u. What is the greatest common divisor of r and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 + 22. Which is the second biggest value? (a) -4 (b) 1 (c) p (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 4661885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 9*q + 5 = 0. Is -4\/7 greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 3*x - 6*x + 2*k, -2*x - 2*k = -28. Suppose -10 = -g - 8. Suppose g*b - b - x = 0. Solve 0 = -4*v - 3*w - w - 12, -b = 5*v + 3*w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**3 - 3365*w**2 - 1 - 2*w + 1130*w**2 + 1123*w**2 + 4*w**3 + 15*w**4 + 1118*w**2 in the form z*w + y + x*w**3 + f*w**2 + b*w**4 and give b.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 5*p, 3*c = p + 30. Suppose 2*i - c = 18. Is i a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103 + 54 + 42 + (2 - 7) + -1 + -40\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 40 = 2*t - t, -5*t - 3*u + 184 = 0. Suppose -r + 9 = -2*l + t, 2*r + l = -33. Which is smaller: r or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1774103094?\nAnswer: 2, 3, 32853761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 4 = y + 4, -4*j + 16 = 4*y. Suppose -78 = -4*p - 3*k, 0*p - 2*p + y*k = -32. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -2*r**3\/13 - 112490*r**2\/13 + 112492*r\/13 = 0.\nAnswer: -56246, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 6*d**2 - 8*d - 4. Let b be i(-6). Let v = b - 40. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 129 = 3*o + 9*k, 5*k + 25 = 0. Let c be (0 + 2)\/((-4)\/26). Let r = c - o. What is the remainder when r is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -147 + 147. Suppose 3*g = 2*o + 4, n = 5*g - 4*o + 3*o - 9. Solve 0 = 3*u + g*u - 25 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + k + 6976 + 2288, 0 = 5*z - 5*k - 9240. What is the highest common factor of z and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8395902, -8395906, -8395908, -8395908, -8395906, -8395902, -8395896?\n\"Answer: c**2 - 7*c - 8395896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*r - 16 = 5*r, -s + 30 = 4*r. Calculate the greatest common divisor of s and 3058.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36748 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -i**3 + 4*i**2 + 6*i. Let a be x(-5). Calculate the greatest common divisor of 95 and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 180857785, 180857786, 180857787, 180857788, 180857789, 180857790?\nAnswer: 180857791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (2 - (3 + 0)) - (-159 + 135).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/(sqrt(6)\/(2*sqrt(2))) + (5 + -2 + sqrt(19))*-1)**2.\nAnswer: -6*sqrt(19) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237456 is divided by 393.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.7 + -52.7. Let a = b - -49.047. Round a to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -863324682*f + 875874148 wrt f?\nAnswer: -863324682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/1944 and -3\/22.\nAnswer: 21384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m + 5. Let t(o) = -3*o + 1. Let b(h) = -15*h + 6. Let j(p) = 5*b(p) - 24*t(p). Give 4*g(z) - 3*j(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 2\/9 (c) -2.24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 741491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 110*b. Let z(g) = -5*g. What is -6*y(n) - 130*z(n)?\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 349 - 358. Suppose -4*f - 35 = 5. Which is smaller: a or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3*b - 6 = 3, -5*w + 3*b + 23 = 0. Suppose 2*x - w = -2*x. Do 0 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -721*g**2 - 3. Let u(n) = 482*n**2 + 2. Give 5*b(r) + 7*u(r).\nAnswer: -231*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z**(-1\/4)*z)*z**(2\/5)\/z*(z\/((z*z\/(z*z**(-1\/4)))\/z))**(-4\/19)*(z*z**0*z**(4\/9))\/(z\/((z**(-2)*z)\/z)*z**(-6)) assuming z is positive.\nAnswer: z**(13463\/3420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t\/t**7))\/(t*t**(-1)*t))**(5\/7)*(t*t**1*t)**(-9)*t**5\/(t**(-4)*t) assuming t is positive.\nAnswer: t**(-108\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(135\/6) + (-943)\/(-9). Find the second derivative of -7*y**2 - 180*y + v*y - 2*y**3 + 3*y**3 wrt y.\nAnswer: 6*y - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105 and 399?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5960 = 16*n + 1368. Let i = n - -478. Calculate the remainder when 26 is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-1))\/(9\/((-18)\/4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yemedximemmxmxxmemmm. Give prob of picking 4 e.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -391*z + 423*z - 742*z + 9940 = 0 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c - 3*c**2 + 100807 + 62*c**3 + 100814 - 201620 + 42*c**3 to v*c + j + d*c**3 + r*c**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/5 of a millisecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l**3 - 21*l**2 - 84*l + 36 = 0. What is l?\nAnswer: -2, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12809741341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - 9141*x - 337295. What is n(-37)?\nAnswer: -447","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/5, 1, 2\/7, -2, -79?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(31*o**2 - 27*o**2 + 45*o**2)*(-59 + 8*o + 61 + 7*o).\nAnswer: 1470*o**3 + 196*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-2 + 1)) + 79 + -25 + -31\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -24 (b) -2 (c) 9 (d) -35\/8 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -951, 6\/20975?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7702776 and 1512?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1029229.8 months to centuries.\nAnswer: 857.6915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.21 less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4188 + -2912. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 836 and 152.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/2 (b) 21 (c) 24\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 - 373912*c - 17476272968.\nAnswer: -2*(c + 93478)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 440 and 16632?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jw when two letters picked without replacement from dnwdjon.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6722 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 0*i = -k - 2437, 0 = 3*i + 5*k - 2431. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3 + -1.5. Let h = -1.20000024 - b. What is h rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 1:46 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21962, -21960, -21958, -21956, -21954?\nAnswer: -21952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1.4940495 milliseconds?\nAnswer: 0.00000041501375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 77 and 1149351?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3800*f + 25547 + 124361 = 2723*f + 291*f for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*m**2 - 10*m**2 + 12*m**4 - 8*m**2 wrt m.\nAnswer: 288*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p - p + 0*p + (-2 + 2 + 2)*(0 - 2*p + 0) - 29*p - 35*p + 23*p + (1 - 1 - 2)*(-p + 0*p - p).\nAnswer: -39*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1734972?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64 and 35744?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1908 and 108?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 462\/(-12)*20\/56 + 15?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 603.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11559671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 9. Let c(f) be the third derivative of 0 - 7*f**2 - 1\/2*f**3 + 1\/6*f**4 - 1\/120*f**6 + 0*f + 0*f**5. What is c(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 8:40 PM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 7. Let h be ((-2)\/30)\/(t\/(-50)). Which is bigger: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + 56. Let z(u) = u**3 - u**2 - u. Let i(v) = -4*v**3 - 2*v**2 + 16*v + 9. Let t(p) = i(p) + 3*z(p). What is the remainder when o is divided by t(-7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-one halves of a microgram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/3, -105, -29?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.059 * 254\nAnswer: 14.986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*x + 123*x = -1150 for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 5*r + 161. Determine f(-39).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25126 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4714 a multiple of 165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.688 - 0.013. Let i = -0.61 + a. Let l = i - 0.101. Round l to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84731290*-1\nAnswer: -84731290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.08 - -0.08. Let d = -3.95 - k. Let v = -279.1 + 276.1. Which is the smallest value? (a) v (b) d (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/2 + 6*y**2 - 9*y\/2 - 11.\nAnswer: -(y - 11)*(y - 2)*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3*p + 12 = 0, 3*v = -3*p + 7 - 1. Suppose 4*u = -8*q + 3*q + 276, u = 3*q + 86. Let t = u + -70. Solve t*j - 2*i + 23 = i, 3*j = -v*i + 9 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 403491 is divided by 438?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 0*s**2 - 1\/3*s**3 + 10 + 5*s. What is the derivative of f(j) wrt j?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567)*-1)\/sqrt(9)*1)\/(4*1*sqrt(225)).\nAnswer: -sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -1535*o + 1461. Give m(1).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - (-329)\/(-6)) + 3. Let s = x - -51. Let t = -0.39 - 0.11. Which is the third biggest value? (a) -4 (b) t (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/129 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4 = -3*l. What is the least common multiple of -3 + l + -1 - -22 and 14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 1 (b) -0.1 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 a, and 2 j when four letters picked without replacement from aazajjzzzozza.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 4*w - 5*w)*(w + 3*w - 2*w) - 9*w + 9*w - 5*w**2 - 8*w - 152*w**2 - 15*w + 23*w.\nAnswer: -155*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -458, -579, -530, -299, 126, 757?\nAnswer: 1606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106959.\nAnswer: 3, 101, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a - 6*a**2 + 3*a + 18*a**2 - 1 in the form g*a + m + i*a**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17392?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1645325 + 430?\nAnswer: -1644565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q**2 - 391380*q + 38294576100 = 0. What is q?\nAnswer: 195690","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2155 - 983. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*g + 43. Suppose -478 = -136*j + 7410. What is the remainder when j is divided by g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1396 is divided by 70.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2762733 to the nearest integer?\nAnswer: 1662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5494*p**3*s**5 - 226*p**3 - 80*p**2*s + 2*p*s - 16*s**5 wrt s?\nAnswer: 109880*p**3*s**3 - 320*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (5*1\/25)\/((-37)\/(-36630)*-18)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3797, -7589, -11379, -15167, -18953?\n\"Answer: r**2 - 3795*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 32042 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4\/5)\/i**(-4))\/((i**(-2\/7)*i)\/i)**18 assuming i is positive.\nAnswer: i**(292\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/8005 > 7828?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/9721822 and -145\/12.\nAnswer: 58330932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1444*i**2*m**3 - 4*i**2*m**2 + 27*i**2 + i + 3*m**4 + 2*m**2 wrt m.\nAnswer: -8664*i**2 + 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (79*s + 47888426 - 47888511 + 22*s)*(-2 + 2*s**2 + 2).\nAnswer: 202*s**3 - 170*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -28*n**2 + 17. Let x(m) = -10*m**2 + 5. Give 2*c(k) - 7*x(k).\nAnswer: 14*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -93*w**2 + 214?\nAnswer: -186*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2595815801 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 8*f. Let i(k) = -k**2 - 3*k + 3. Let g(q) = -4*q**2 - 5*q - 1 - q**2 + 6 + 3*q**2. Let m(j) = 3*g(j) - 5*i(j). Give m(a(d)).\nAnswer: -64*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**3 + 63014 + 18*f**3 + 63013 - 126027 - 3*f**3.\nAnswer: 11*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2, 472, 942, 1412?\n\"Answer: 470*f - 468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a meter in centimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2231 - -12?\nAnswer: -2213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**2\/15 + 56*r\/3 + 278\/15 = 0.\nAnswer: -139, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/39)\/(26\/12).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**2 + 63*g + 104*g + 2 - 12 + 11*g**4 - 169*g - g**3 as i + n*g**4 + k*g**3 + q*g + t*g**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 456*a + 9095. Determine y(-20).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5140 - 50146?\nAnswer: -42006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -31 - 16 - 15 - 3*r - 2*r**4 + 4*r wrt r.\nAnswer: -8*r**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001126531 rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2695*w**2 - 9*w**3 - 901*w**2 - 897*w**2 - 897*w**2 + 5*w**3.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 544 + -261. Suppose 5*c + a = 68. Is c at least -42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, 2\/9, -4, 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 + -22. Suppose 0 = 4*u - b - 0. Suppose u - 1\/6*i**4 - 1\/2*i**3 - 1\/6*i - 1\/2*i**2 = 0. What is i?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + m - 3*m = -30, q - 4*m - 6 = 0. Suppose -5*n = 2*o - 23, 7 = 2*n - 3*o - q. Suppose -4*f + n*y + 281 = 0, f - 5*y = 29 + 30. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 4*p**2 - 41*p + 21. What is y(0)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = t + 44, -4*t + 2*l = -2*l + 160. What is the least common multiple of 6\/(-27) + (-800)\/t and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(126)\/sqrt(24) - (sqrt(21) - sqrt(84)\/(sqrt(12)\/sqrt(3))))*-5)\/(4*(6*-2*sqrt(243) - sqrt(243) - sqrt(243))))**2.\nAnswer: 25\/4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.963 - -0.037. Let j = -56 + s. Let y = j + 46.957. Round y to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -319, -1391, -3127, -5497, -8471, -12019?\nAnswer: -16111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6229958?\nAnswer: 2, 7, 151, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -75303 (base 11) to base 13\nAnswer: -3aac9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -y - 5*n, 5*n + 8 = -2. Let l(o) = -5*o**2 - 4*o - 17. Let v(z) = 3*z**2 + 2*z + 9. Let h(g) = -4*l(g) - 7*v(g). Determine h(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -299? (a) 5 (b) -0.1 (c) 4 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 1. Let h(f) = 3*f**2 - 4*f - 4. Calculate h(x) + 4*y(x).\nAnswer: 3*x**2 - 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 18608, 18734, 18860?\n\"Answer: 126*q + 18482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 1\/4, -0.5, -62, 3, 36?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/335 and 83\/536.\nAnswer: 2680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -b**3\/3 + 7*b**2\/2 + 19*b. Let a(y) = 2*y - y - 4 + 0*y. Give 11*a(s) + 6*d(s).\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1046 - 461 = 13*o. Let k(r) = r**3 + 2*r**2 + r. Let g be k(2). What is the highest common divisor of g and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**2 + 2*r**2 - 3*r**2 + (-3 + 3 - 2*r)*(3*r + 0*r - 5*r) + 0*r**2 + r + 2*r**2 - 2*r + (r + r + r)*(1 - 1 - 2*r)*(1 - 13 + 3).\nAnswer: 59*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*x + 2. Let q be 3\/x*(10 + -11). Suppose -4*b = -20, 2*s - 53 = -q*b + 10. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - 13*a - 12. Let f be z(-12). Suppose f = 4*p + 79 + 33. Which is bigger: p or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -342d (base 16) to base 13.\nAnswer: -6106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-468)\/20)\/(-9) + -3.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -357228*p**3 + 714494*p**3 - 357191*p**3.\nAnswer: 75*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = m + 8. Let c(z) = -3*z**3 - z**2 + z + 1. Let q be c(-1). Solve -5*f - x = m, -q*f + x = 3*x - 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20884025 and 1262755.\nAnswer: 271492325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + (-1)\/(1\/1). Let s(a) = a**2 + 4*a - 3. Let i be s(q). What is the derivative of 0 - b**3 + 1 - i*b**3 + 0*b**3 wrt b?\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 4. Suppose -p + z = p. What is the third derivative of 0*d**3 + 0*d**p - d**2 - 2*d**3 wrt d?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 174 = -4*o, 0*o = -5*o + 5*z + 255. What is the smallest common multiple of 22 and o?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -2. Solve -o*z = -10 + 6 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 10*p**2 + 22*p + 26. Give b(-9).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 2*t + 14*t. Suppose 7\/4*n**2 + 1\/2*n**3 + 1\/2*n - 3\/4*n**4 + t = 0. Calculate n.\nAnswer: -1, -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = a - 1, -5*w + 34 = 4*a. Let b(o) = w*o - 3*o + 1 - 4*o**2 + o**2 + 4*o**2. Give b(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7445, 7446, 7447, 7448?\nAnswer: 7449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - -4) + (-1 - 1). What is the tens digit of 0 + 101\/1 + i\/(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3.5, -601, -15, -35?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 13. Let b be w(0). Solve 69*a - b = 56*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.9 in -2.1, -3\/5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.6 and 4.3?\nAnswer: 11.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 407359375 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 19861*y - 14590*y + 2)*(5 - 1 - 3) in the form p*y + a and give p.\nAnswer: 5271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/3)\/((-4)\/6). Let o(c) be the second derivative of -c**3\/3 - c**2\/2 - 3*c - 124. Determine o(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/1367 + 4103\/2734. Let a(l) be the first derivative of 0*l + 5*l**3 + 3*l**2 - 3*l**5 + 1 - h*l**4. Let a(j) = 0. What is j?\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 494*s**4*u**3 - 3*s**2*u**3 + 21*u**3 - 3*u - 9 wrt s.\nAnswer: 1976*s**3*u**3 - 6*s*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4)\/26 - (-253048)\/611 is divided by 31.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14104 + 2?\nAnswer: 14111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from btbttbtbtti?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-42)\/(-98) + 6\/(-28)*2. Suppose d = 11*v - 17*v + 12. What is the least common multiple of 86 and v?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -4 (b) -19291\/4 (c) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4884693 a multiple of 2664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-169)\/507*(-3 - (0 + (-138)\/44))\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*d - 34*d + 60*d)*(-1 + 0 + 4) + (11 - 3 + 8)*(-2 - 2*d + 2) - 3*d - 3*d + 8*d.\nAnswer: -54*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49, 61, 99, 175, 301?\nAnswer: 489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yn when two letters picked without replacement from uaoacyynayac?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and 5495934740?\nAnswer: 5495934739.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 3*k + 4872, 0 = 14*f - 15*f - 3*k + 1622. What is the highest common factor of 39 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 10\/6 - 45*(-21)\/(-567). Put -9, p, -72 in ascending order.\nAnswer: -72, -9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1588?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59954 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**3 + 28*o**2 + 20*o + 20. Let k be q(-11). Suppose 5*r + k = 731. Let m(w) = 11*w - 8. Calculate the remainder when m(8) is divided by r.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1063 + -1067. Suppose -q + 8 = -10. What is the nearest to -0.1 in 1\/5, q, r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6255332 from 0.\nAnswer: 6255332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 519719489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 - r**2 - 2*r**4 - 4*r**2 + 0*r**5 + 7*r**4 + 5*r**5.\nAnswer: 5*r**2*(r - 1)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -895 + 1859. Suppose -4*i + 2*i + o = 2*h, 2*i = 3*h - 1446. List the prime factors of h.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 7*x - 1. Let w be r(-6). Suppose 3*h - w*d = -29, -2 = h - 3*d + 13. What is the common denominator of h + (-124)\/8 + 3 and 53\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 + 29437560*w - 43328496937680.\nAnswer: -5*(w - 2943756)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6 + -2 - -1)\/1. Suppose 6*m - 43 = 3*m - 5*h, 4*m = b*h - 1. Solve 0*w + 16 = -4*w + n, 2*w = 4*n + m for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-172)\/16)\/1*(-104 + 112)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -29 (b) 5 (c) -38 (d) -0.02 (e) 139\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + -11 + -4 - (-4 - 1) - -3.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s + 4. Let l be b(0). Suppose -t - t = l. Let q(i) = -3*i**3 + 2*i**2 + 2*i - 1. Is 9 a factor of q(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*b + 152 = 12. Solve 2*x - b*w + w - 22 = 0, 5*w = -4*x + 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-12 + -29)) + -28\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -99 + 77. Let o = m - -21.8. Which is the nearest to 6? (a) o (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 6 = 2. Sort 4, p, -4 in decreasing order.\nAnswer: p, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millennium in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1530, -1741, -1938, -2115, -2266?\nAnswer: -2385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) -10 (c) 36.2 (d) 3 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -38805, -77621, -116447, -155283, -194129, -232985, -271851?\n\"Answer: -5*y**2 - 38801*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -206, 1, 0.63 in descending order.\nAnswer: 1, 0.63, -206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 24 - 17 - (-1 - 40)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*y**2 + 30*y**3 + 21\/2*y**5 + 0 - 39*y**4 + 0*y.\nAnswer: 3*y**2*(y - 2)**2*(7*y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m**3 + 973*m**2 + 1276*m - 4951. What is n(-323)?\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 450 = -2*x, -6*x - 240 = -n - 2*x. Calculate the lowest common multiple of n and 114.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-39)*(-27 - -29)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**2 + 133*p + 50655. What are the prime factors of m(0)?\nAnswer: 3, 5, 11, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-43)*y)\/y*y)\/(y\/y**(-27))*((y\/(y\/y**(1\/14)))\/y)**(3\/4) assuming y is positive.\nAnswer: y**(-3959\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*b - b + 7*b + (66 - 25*b - 66)*(4 + 1 - 4).\nAnswer: -26*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15*20\/((-1000)\/(-30)). Solve 0 = -5*x + g - 14 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -316*i + 653*i - 328*i.\nAnswer: 9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-568)\/(-1420))\/((-16)\/60).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, z: 9}. Give prob of sequence zhzh.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3356*t**2*z**5 + t**2*z**2 - 42*t**2 + 18*t*z**2 + 35*t*z + 325*z**6 wrt z.\nAnswer: 201360*t**2*z**2 + 39000*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-45694)\/(-4) + 14 + 270\/(-20). Calculate the common denominator of -31\/12 and (-9809)\/o - 10\/14.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*j - 3*j + 54. Suppose 0 = -2*o + 4*k + 656, o = 2*k - j*k + 316. Does 41 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -199\nAnswer: -7\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 k, and 1 m when three letters picked without replacement from mtkllpwwlktkpwpl?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-25))\/((-24)\/15).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1257\/5 - 253. Let o = 117 + -346\/3. What is the common denominator of x and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1331\/15 - 447\/5. Which is the third smallest value? (a) l (b) 4 (c) -21\/8 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7139.9492 - -7142. Let y = -0.0408 + u. Let a = y - 0.01. Which is greater: a or 0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)*2*1*3)\/(-6*sqrt(40)\/sqrt(4)*3)*-6.\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31427 to the power of 1\/2, to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(99)*5 - sqrt(99)) + sqrt(99))\/(sqrt(36)\/(sqrt(8)\/sqrt(2))) + (sqrt(44) - (sqrt(396)\/(sqrt(36)\/sqrt(4)) - sqrt(44)))\/(-2*sqrt(64)).\nAnswer: 79*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1282236 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 435.9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 209\/(-23) + -101 + 94 + 16?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + (-5 - 0))*(-93)\/12 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 10*o**2. Suppose -11*g + 3*f = -16*g + 6, 0 = g - 5*f + 10. Let n(k) be the first derivative of g*k**2 + 5 + 0*k - 1\/3*k**3. Give n(t(v)).\nAnswer: -100*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 4:21 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1925233 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2685057, 5370194, 8055501, 10741062, 13426961, 16113282?\n\"Answer: 14*d**3 + d**2 + 2685036*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 4*g + g)*(-104 + 104 + 47*g**2) + (-4 + 2 - g + 0)*(3*g**2 - 3*g**2 + g**2).\nAnswer: -95*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1486?\nAnswer: 2, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-1\/10)\/t*t)\/t)\/(t*t**(3\/2)*t)*t\/(t\/(t\/(t*t*t*t**(-2\/5))))*t**(-1\/4) assuming t is positive.\nAnswer: t**(-109\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(2\/3))\/(3\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15953 and 23026115.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28096 and 1774438?\nAnswer: 878","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of v**5\/20 - 2*v**4\/3 + v**3 - 3*v. Let r be d(7). Let p(y) = -y**2 - 6*y + 10. Calculate p(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 99*w - 30. Suppose 0 = -84*r + 98*r + 658. Let k(a) = 940*a - 282. Let h(j) = r*x(j) + 5*k(j). Let o(v) = 2*v**2. Give h(o(d)).\nAnswer: 94*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**4 + 3327*q**3 - 77778*q**2 + 373152*q - 461856 = 0 for q.\nAnswer: -1132, 2, 4, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 105988601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.09 plus 0.3?\nAnswer: -2.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rxrxwrrrirrxrxxrrrrr. Give prob of picking 1 i and 1 w.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38283*-28.\nAnswer: -1071924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2672620 * -29.\nAnswer: 77505980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -6*a + 31. What is the third derivative of c**a - 525*c**4 - 165 + 525*c**4 - 170*c**5 wrt c?\nAnswer: -10200*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, 5, 13\/11, 1\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -1\/6, -2\/7 in ascending order.\nAnswer: -2, -1, -2\/7, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 + (-627)\/156)\/(5\/24). Let g = 53\/715 + o. Let u = -57\/110 - g. Is u <= 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 + 11000111?\nAnswer: 11010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 6*q**2 + 5*q - 8. Let f be t(7). Suppose 24 = -x + f. Is 3 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 127*k**2 - 1453*k - 3190. Calculate l(114).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*o - 4*j + 50, 0 = 28*o - 32*o - 4*j - 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2*y + 0)*(-4 + 2 + 0) + y + 0*y - 3*y - 2*y - 3*y + 3*y - 97*y - 167*y + 144*y)*(2*y + 0*y - y + (0 + 4 - 6)*(2*y + y - y)).\nAnswer: 384*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 0 (c) -2\/721 (d) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14269235 to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 353489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5625246 (base 7) to base 4.\nAnswer: 2221312320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 101?\nAnswer: -9\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 d when three letters picked without replacement from ddddddfdffd.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 954544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1093666, -1093579, -1093430, -1093213, -1092922?\n\"Answer: s**3 + 25*s**2 + 5*s - 1093697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 3.4. Let q = -54\/17 - -452\/153. What is the biggest value in 5, t, q, 2\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, -2\/7, 0, -0.3, -2 in increasing order.\nAnswer: -43, -2, -0.3, -2\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 22*f - 541175. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 416 and 6352788.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y + 7. Let g be f(-6). Let j(s) = -2*s + s - g + 1. Let q(x) = -3*x + 3*x - 3*x**2. Give q(j(p)).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3 + 16*y - 30*y + 13*y. Let j(f) be the second derivative of -f - 3*f + f**2 + f. Calculate 3*j(v) - 2*k(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 192 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/2048 and -101\/512.\nAnswer: 2048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 6.92. Let t = j + 4.08. Which is the smallest value? (a) -3 (b) 1\/5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 48027838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/((-20)\/12))\/(11\/(-55)). Solve 2*n - 5*c + 12 = 0, -3*n + c + z*c = 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.75 (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of -2*l + 0 + 0*l**5 + 0*l**2 + 0*l**3 - 2\/21*l**7 + 7\/6*l**4 + 0*l**6. Find the third derivative of s(j) wrt j.\nAnswer: -240*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 2:44 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -q**3\/6 + q**2 - 5*q. Let i be t(-8). Let n(v) = v**3 - 11*v**2 + 14*v - 14. List the prime factors of n(i).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2221.65 - 1547.4. What is u rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) -1\/4 (c) 6 (d) 2 (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 45 + 48. Suppose -5*v = 3*b - 2*v - y, -3*b = 4*v - 88. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 3*n, -6*v + 3*v = 2*n - 5. What is the smallest common multiple of 27 and n?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (38\/(-12) + 10\/6)\/(-9). Let i = -1 + 1. What is the closest to i in 2, c, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11\/23 in -1\/8, -0.02, 2?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1573) - 2*sqrt(1573) - sqrt(1573))*-6 - (6*-2*(-1 + sqrt(1573)))**2.\nAnswer: -226656 + 3300*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/40 and -27\/4042.\nAnswer: 80840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, j: 8, v: 8}. Give prob of picking 2 b.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 73229 + -19389. Round z to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n + 13. Let y(l) = -531*l**2 - 10*l + 998. Let i(r) = 5*w(r) + y(r). What is the first derivative of i(d) wrt d?\nAnswer: -1062*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*s - 48 = 128 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7598, 7965, 8568, 9401, 10458, 11733, 13220, 14913?\n\"Answer: -g**3 + 124*g**2 + 2*g + 7473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*f = 273, 0*f - 1057 = -4*t + f. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wlig when four letters picked without replacement from {c: 2, l: 1, a: 6, g: 1, i: 5, w: 2}.\nAnswer: 1\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t**2\/5 - 93964*t\/5 + 188008 = 0. What is t?\nAnswer: -23501, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(2058) + sqrt(2058)*-2 - sqrt(2058))*-4)\/(((sqrt(48)\/sqrt(2))\/sqrt(4) - sqrt(6)*-1*3)*-3))**2.\nAnswer: 1372\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9536*s**4 - 244*s**3 - 8715*s - 457?\nAnswer: 114432*s**2 - 1464*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/12 and 18\/11.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -228*s**2 + 33*s - 33*s - 309*s**2 to l + r*s**2 + t*s and give r.\nAnswer: -537","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g - 3515 - 7*g - 3*g + 6*g + 215*g**2 - 220*g**2.\nAnswer: -5*g**2 - 2*g - 3515","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(5\/7))**(-47)\/(((b\/(b**41*b))\/b)\/b**30))**(-8) assuming b is positive.\nAnswer: b**(-2152\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23975867, 47951716, 71927575, 95903450, 119879347, 143855272, 167831231?\nAnswer: 191807230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1335 + 1333. What is the nearest to 0.1 in l, 57\/5, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 + (-7448)\/190 + (-143)\/65\nAnswer: -57\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*x - 2*t, 4 = t + 5. Suppose x*q - 8 = f + 50, 5*f = -20. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 5:05 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 423\/5 <= -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2 + x + 6. Let d be j(3). Let p be 34*(-4 - d\/(-6)). Let i = 37 - p. Solve -5*u + 0*u = i for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 99237 and 65909037.\nAnswer: 5223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h + 18*h + 48 = 0. Is -23 at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 times -23890?\nAnswer: 1433.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1534, 1514, 1494?\n\"Answer: -20*c + 1554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-83352)\/966 - -3*4\/42. Suppose 0 = -4*r - 272 - 84. Let p = g - r. Solve -p*x - 24 + 9 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 13*w + 3*w**2 - 8*w - 7*w - 2. Suppose -5*m = 15, 2*m = -2*t + m - 7. Is i(t) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -167240 - -236821. List the prime factors of a.\nAnswer: 17, 4093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -9*d**2 + 5*d - 5. Let z(l) = -3*l + 2 + l - l**2 + 5*l**2. Give 2*a(r) + 5*z(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-31 - (0 - 6)) + -3 - (-4 + -7)) + 6\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -716 + 1203. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j + 2415 = 17*j. What are the prime factors of j?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 3*p**2 - 12*p - 2. Let x be d(9). Suppose 2*v - x = 646. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15277890?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 8, i: 2, n: 1, o: 4}. Give prob of sequence ona.\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 6 = 0, u + 3*z - 1167 = -1149 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 1:42 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -11*k + 40. Let u be c(0). Solve g - u = -7*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 7 - 12 = 0. Suppose 4*s - 12 = -4*h, -13 = -l*s - 4*h + h. Suppose -1162 = s*z - 9*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78104 less than 3\/70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of 3*y**2\/2 + 12*y + 19. Let k be s(-3). Let h be (-3)\/((-48)\/(-44)) + k. What is the second smallest value in 1.1, 5, h?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6154 is divided by 2023?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/(29820\/71)*1095\/3?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184 = 8*m + 16. Calculate the remainder when m is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -162 + 161.9. Which is the nearest to 3\/2? (a) g (b) 24 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23572\/12353 + 1\/1123. Which is the nearest to -1\/2? (a) j (b) -3 (c) -5 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 120 = l. Is 10 a factor of (-3)\/(l\/68)*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**2*i + 4*b*i - 5*b + i + 112 wrt b.\nAnswer: -2*b*i + 4*i - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of a**6\/360 + a**5\/120 - a**4\/4 - a**3\/3 - 2*a. Let m(f) be the second derivative of h(f). Is 10 a factor of m(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 7 = 3. Let w be (4\/(-1) - f)*-2. Solve -3 = w*i - 3*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -110000110000111?\nAnswer: 110000110000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 4. Let p be 0 - -4 - h - -2. Is (9 + -6)*230\/p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 - 3*f**2 + 4*f**2)*(2 + 0 - 3)*(-2 - 2 - 5).\nAnswer: 27*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 - 23. Let z(h) = -3*h + h - p + 6*h - 5. Calculate the remainder when z(20) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*h = -396. Let s be (4\/4)\/(1\/3). Suppose 19 = 4*i - 5*w, -s*i = -w - 29 + 1. What is the highest common divisor of i and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 14*o + 5. Suppose -58 = 6*f + 2*p - 20, 0 = -5*f + 3*p - 13. Let j(t) = t**2 - 13*t - 4. What is f*b(l) - 6*j(l)?\nAnswer: -l**2 + 8*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.47 times -24337259\nAnswer: 11438511.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4129 - 4132. What is the smallest value in 12, 3, d, -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55.8277 * -0.03\nAnswer: 1.674831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gz when two letters picked without replacement from eevzejjzggezeeu.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/5 (b) -72 (c) -4 (d) -13 (e) 4 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -4)\/(-88)*8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 7*y - 26. Give k(11).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -53 - -50 - (-1 + -10). Suppose -13*l + r*l - 2*n = -17, 0 = 5*l + n - 16. Solve 3*c = 4*o, 2*o - l*o - c = -7 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 5.99.\nAnswer: -17.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 38*b + 10 + 6*b**3 - 44*b - 15 to the form h*b**3 + m*b + z*b**2 + o and give m.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -73 - -75. Suppose 0 = 2*r + 4*i + 4, 2*i + 9 = 3. Suppose -6*g = -3*g - 6, 0 = -r*t + 5*g + 18. Solve o*f = t*f - 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1187825?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/2 - 1180\/104 - 1888\/12272.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 747 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 91 + 44. Calculate the highest common divisor of 3 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -14*p**2 + 473*p - 313. Give l(33).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 288 = 482. Let n = 1635 + j. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 124614\/13846 - (-267)\/10*1\/(-3).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -404144231 (base 5) in base 4?\nAnswer: -12032033113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 9}. Give prob of picking 3 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1199904.9 times 0.2?\nAnswer: -239980.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by 462.\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -w**7\/525 - 19*w**6\/100 + 2*w**5\/75 + 19*w**4\/5 + 614*w**2. Solve t(o) = 0.\nAnswer: -57, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40 - 43 + 29)*(0 + 0 - 5*w).\nAnswer: 270*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 60 + -56. Suppose -4*j + j = 4*b + 189, -s*b - 5*j - 187 = 0. Let q = 101 - b. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2446908, 4893869, 7340830?\n\"Answer: 2446961*k - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c - 4*c - 4*c**3 + c**2 - c + 2*c**3 to the form q*c**3 + v*c + b + s*c**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -5*c**2 - c - 4. Suppose 3*m - 2*m = 7. Let p(u) = 11*u**2 + 2*u + 9. Suppose 3*o - 1 = 8. Give m*h(g) + o*p(g).\nAnswer: -2*g**2 - g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 5. Let u = 2\/19 - 56\/171. Which is smaller: u or f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 1. Let m(k) be the second derivative of 29*k**4\/6 + 2*k**2 - 71*k. Let a(b) = m(b) + 5*o(b). Let t(j) = 2*j**2. Give a(t(s)).\nAnswer: 252*s**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1209266413 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33 in -0.4, -2\/9, -5, -2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, w: 4}. Give prob of sequence wwk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4*g - 4*g**2 + 3*g**2 + 0*g**3 - g**3. Let y be (-2)\/14 + (1124\/28 - 37). Calculate t(y).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1859 is divided by 168?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -113 (base 7) to base 8\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3268405 divided by 5?\nAnswer: -653681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + (-3 + sqrt(11) + 2 - (sqrt(11) - (sqrt(176) + -5 + sqrt(176)))) + 0 + -1)**2 + 3.\nAnswer: -192*sqrt(11) + 2855","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 823*l - 49210. Determine s(60).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*o**2 + 5*o**2 - 6*o**2)*(-o**3 + 5*o**3 - 5*o**3 - o**3 + 3*o**2 - 3*o**2 + (0*o**3 - o**3 + 0*o**3)*(-2 + 4 - 1)).\nAnswer: -27*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -12469*k - 374045. Give f(-30).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 101653?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*c - 2*c. Factor 7*v + 427*v**2 - 63*v - 423*v**c.\nAnswer: 4*v*(v - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3342\/11 - -304. Let u = 2 - 2. Is u greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by 1.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-240)\/15)\/816*36\/4.\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 1 - 20*u**3 + 26*u**3.\nAnswer: 6*u**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*q + 119*q + 252 = 0 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 2*z - 3. Let i be s(-4). Let a(n) = -n**2 - 4*n - 1. Suppose -4*v + v = 6. Let q be a(v). Solve -p + b = -3*b - i, p - q*b = 16 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -6*u**2 - 7*u - 4. Let x(s) = 3*s**2 + 4*s + 2. What is -4*v(z) - 7*x(z)?\nAnswer: 3*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -767*i**2 + 98942*i + 138. Give m(129).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*w**2 + 295 - 2*w - 63*w**2 - 288 + 13*w**2 - 50*w**2 to the form s*w + o + r*w**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -438*h + 13*h**3 + 438*h.\nAnswer: 13*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b - 30. Let f(s) = -12. Let d(n) = 2*a(n) - 5*f(n). Let u(o) = 3*o - 5*o + o. Calculate d(u(y)).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-45)\/(22 - -23))\/((-23)\/11 + 2). Let r(p) = 2*p - 48. What is r(w)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2149.\nAnswer: 7, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11844 = -40*k + 34*k. Suppose -k = -4*x + 3878. List the prime factors of x.\nAnswer: 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*a - 17*a - 9*a + 3.\nAnswer: -9*a + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -16.2, -0.3, 0.05, -4, 0.5 in descending order.\nAnswer: 0.5, 0.05, -0.3, -4, -16.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 6*a + 296 - 7*a**2 + a**2 - 551 + a**3 + 256. Suppose 3*p + p - 20 = 0. Let v be h(p). Let f(j) = -2*j + 8. Give f(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2964911186315 and -8.\nAnswer: 2964911186307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d - 7. Calculate r(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-62)\/4)\/((-1)\/2). Let j = p + -10. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 0 - 0. Let d = -3 + 6. Which is smaller: d or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 2. Let g = 1 + -1. Let h = -7.4 + 4.4. What is the nearest to g in h, o, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -f - 29673 + 96396. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**2 + 1901*x - 230935. Determine t(143).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxigxzxiwwzgzzigoxiw. What is prob of sequence oix?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2133858779 to two decimal places.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 20 = -4*h. Suppose h*m + 5*r - 20 = 0, -2*m + 3*r - 7 = -20. Let z(x) = 2*x**2 - 30*x + 33. Let o be z(14). Are m and o equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of -b**6\/144 + 13*b**5\/120 + 131*b**4\/12 + 63*b. Let w(i) be the third derivative of n(i). Calculate w(9).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16501 and 95023.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 - 40. Solve -3*m = 3*n, -2*m + l*n - 3 = n for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 4\/5 (c) -1 (d) -1\/4 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.42 + 0.48. Let z = s + -7. Let c = -65 + 456\/7. Sort z, c, -2.\nAnswer: -2, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/4)\/(1*(-96)\/(-736))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*j + 54*j + 18*j - 104*j + 15*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(10)\/(sqrt(5)*2) + sqrt(242) + (sqrt(242) - -2*sqrt(242))) + -3 + sqrt(6)\/(sqrt(243) + (sqrt(243) - sqrt(243)*3)))**2.\nAnswer: 1604*sqrt(2)\/3 + 1287137\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 240 = 7*k. Is 12 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/17? (a) -1\/10 (b) 1\/25 (c) 1\/21 (d) 0 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**2 - 30*k**2 - 12 + 12.\nAnswer: -28*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (95 - 45 + 85 + 130)*(0*b - 2*b + 0*b) as p + s*b and give s.\nAnswer: -530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 2, x: 1, b: 4}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 33. Let m be f(0). Let x = m - -24. Let u = x + 14. Let d(i) = 4*i - 3. Let p(w) = 7*w - 5. Calculate u*d(a) - 3*p(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from duuuddduuduudduu. What is prob of sequence uud?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*q, -3*i + 0*q = 4*q - 10. What is the tens digit of 1817\/69 + (-8)\/i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6c8 (base 14) in base 6?\nAnswer: -10132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39336*o**2 - 39321*o**2 + 78651*o**2.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*y + 6172 = -1126 for y.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117398248.\nAnswer: 2, 11, 1334071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -465 - -467. Determine n so that 0*n**5 + 11*n**3 - 10*n**2 + u*n**5 + 2*n**4 + 8*n - 4 - 21*n**3 + 12 = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, -16, 0.3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 860390 or 4301944\/5?\nAnswer: 860390","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(19) - sqrt(19)*2)**2 - ((sqrt(19) - (sqrt(19) + sqrt(76)\/sqrt(4))**2) + 2).\nAnswer: -21 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19.92*-2.3.\nAnswer: -45.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - 21.3. Let q = r - -2.252. What is q rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 6 = -2*c. Let j(l) = -l. Let d be j(c). Is d\/(-12)*-2*-26 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t - 3*t - 2 + 2*t)*(-35*t - 5*t - 2*t**2 + 41 + 37*t + 3*t**3) as d + y*t + n*t**3 + u*t**2 + j*t**4 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 971?\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3*x = 48, 37*l + 2*x - 64 = 33*l. Suppose b + 3*b = 320. What is the highest common divisor of l and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + v + 2 + v)*(-5*v - 5*v + 12*v - 2).\nAnswer: 4*v**2 - 6*v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-154)\/(-70) - (0 - 2\/(-10)). Let b be (-3)\/(6\/(-232)) - p. Calculate the greatest common factor of b and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 15 = 7*m, -8 = 2*q - 4*m. Let c be (9\/45)\/((-2)\/20). Let z = 0.1 - 0.6. What is the smallest value in z, q, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -210 + 648 + c - 217 - 210. What is k(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -116 equal to -117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -n**8\/63 + 58*n**7\/315 - 61*n**6\/180 + n**5\/18 + n**4\/6 - 70*n**2. Solve v(b) = 0.\nAnswer: -1\/4, 0, 1\/2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1275, -2, -2396 in descending order.\nAnswer: -2, -1275, -2396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*(-2)\/8)\/((-2)\/(-4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5719 and 2408.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -14. Suppose -4*q = -2*q - 5*v - 30, -40 = -4*q + 5*v. Suppose -29 = q*m - c*m. What is the remainder when m is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -k**5\/60 - k**4\/2 - 2*k**3\/3 + 4*k**2. Let o be s(-12). Let z be (-4)\/o - 134\/130. Which is greater: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 5*w + 1500 = 0, -2*u + 44*w - 600 = 39*w. Let i = u - -337. Calculate the remainder when (87\/(-6))\/((-2)\/20) is divided by i.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**4 + 680*u**3 - 4588*u**2 + 3912*u.\nAnswer: -4*u*(u - 163)*(u - 6)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 12*z**2 + z - 3. What is p(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*o = -365*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * 2186.\nAnswer: -19674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1326)\/117*24\/(-17)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*f - 5*h, 0 = f - 5*f + 5*h + 48. Suppose -l = -5*l + f. Solve -8*a + 9 = -3*a + i, -3*a = l*i - 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 494?\nAnswer: 49.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 - 35?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.048 + -0.04800204. What is y rounded to 7 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.0529 + -5.\nAnswer: 0.0529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (142 + 19*c - 142)*(63*c + 66*c - 29 - 131*c).\nAnswer: -38*c**2 - 551*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-6\/13)*p)*p\/p**(34\/5)*p*p*p**(-2\/3)*p*p**(-10))**43 assuming p is positive.\nAnswer: p**(-109048\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 10*d + 10. What is i(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -104*d**4 + 1555*d**2.\nAnswer: -2496*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33609149?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80512 and 35360?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1647186407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6744401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/53? (a) -5\/3 (b) 1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/8 in -4, 15\/28, 0.34569?\nAnswer: 0.34569","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, o: 1, s: 1, r: 1}. Give prob of sequence ors.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -54 + 58. Suppose 2*d - r*t = -6, -3*d - 4 = -4*t - 3. Solve -4*k - 11 = -d*y + 20, 4*k + 5*y = -1 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*r - 123 - 117 = 10*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4404820.\nAnswer: 2, 5, 7, 73, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.8868 - -0.1132. Suppose 0 = -3*z - h + 11, -4*z - 7 = h - 21. Which is the third biggest value? (a) z (b) g (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 31 - 43bf?\nAnswer: -438e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/2*(23 - 16). Let q be ((2 - -608)\/2)\/(n\/280). Suppose 4*b + 2440 = q. What is b rounded to the nearest 100?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 - 11. Let r(t) = t**3 - 10*t**2 - 7*t - 8. Let y be r(11). Suppose -g + y + 85 = 0. What is the greatest common divisor of m and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 1.6, 2\/7, 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 6*n - 3*z + 15 = 0, 0 = 2*n + 5*z - 25. Which is the second biggest value? (a) -2\/7 (b) 0.4 (c) n (d) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (437*r + 188*r - 30*r)*(14*r + 7 - 7) to the form h*r**2 + c + g*r and give h.\nAnswer: 8330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -122624, -245237, -367840, -490427, -612992?\n\"Answer: o**3 - o**2 - 122617*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 57899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 3*m + 0*m)*(-18 + 34 - 13 + 7*m**4).\nAnswer: -14*m**5 - 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-114)\/(-21) - 9\/21. Suppose 4*q - 20 = -d*s, q = -4*s - 3*q + 20. Is s <= -3\/26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23 + -6 + (-1 - 1)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 4411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.8 (b) 1 (c) -20 (d) 5 (e) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/25 of a kilometer in centimeters?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -23 + 101 + (-20 - -41) + -26\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (6*(-5 + sqrt(1200) - sqrt(48)))**2.\nAnswer: -5760*sqrt(3) + 28548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xg when two letters picked without replacement from {f: 2, l: 1, x: 1, g: 1, v: 1, e: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -615395.33 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 7 = -5*k + 13, -3*o - 10 = -5*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -2*o + 1 + 6, -4*a + 6 = o. Solve -6*s = -s + 4*t + 22, -4*s + o*t = 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 3*s + 84 = 0. Let a = s + -32. Does 9 divide (0 + ((-70)\/4 - -2))*a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2*g**4 + 42 - 34 + 0*g**3 - 10*g**2 + 0*g**3 = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/4*8\/3. What is the highest common factor of 5 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31699983?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 5*d + 14*d - 223. Solve d*f + 11*f = -84 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/29923 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 5*p**2 - 2*p - 4. Let b(r) = r**3 + 13*r**2 - 15*r - 19. Suppose 5*k + 104 = 34. Let x be b(k). Calculate n(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3150 divided by 63\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 11*p**3 - 7*p**2 - 431*p + 8. Let f(l) = 4*l**3 - 4*l**2 - 144*l + 3. What is 8*f(s) - 3*y(s)?\nAnswer: -s**3 - 11*s**2 + 141*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/6*(-13974)\/(-85). Which is bigger: x or -269?\nAnswer: -269","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2 + 11 = 0. Which is greater: -14 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -98148 by 916.\nAnswer: -24537\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 64, 77, 92, 103, 104, 89, 52, -13?\n\"Answer: -j**3 + 7*j**2 - j + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*r**3 + 98*r**3 - 54*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 4*t = -1496. Calculate the highest common divisor of t and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22\/969 + 16159\/70737. Calculate the common denominator of 19\/60 and m.\nAnswer: 4380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1745 - -106441\/61. Find the common denominator of -76\/3 and h.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of 7*f**4\/8 + 7*f**3\/6 - 11*f**2\/2 - 11*f. Let p(l) be the first derivative of z(l). List the prime factors of p(3).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 69.4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -322270, -644540, -966810?\nAnswer: -1289080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*o = -9*o + 91 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*k - 18*k = 162. What is the highest common factor of 18 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -147809, -146257, -144705, -143153, -141601, -140049?\n\"Answer: 1552*c - 149361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 3*q**2 + q - 3. Let z(c) = -14*c**3 - 6*c**2 - 4*c - 204. Let f(m) = 12*a(m) - z(m). Factor f(l).\nAnswer: 2*(l - 14)*(l - 3)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 + -6. Suppose j = c - 0*c. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g + 0*g - g + (-2*g + 2 - 2)*(2 - 1 + 0) + 462*g + 394*g + 175*g - g - 3*g + 3*g.\nAnswer: 1027*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007 times -5429?\nAnswer: -3.8003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of 42200*d**4 + d**3\/3 - 3*d**2 + 5*d - 5. Let y be g(5). Round y to the nearest 1000000.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**2 - 4*d. Suppose -m + 5 = 5*t, 3*m = -5*t + m. Let r(g) = 0*g**2 - 4*g**2 + 5*g**t + 1 + 2*g - g. What is -p(i) - 3*r(i)?\nAnswer: -i**2 + i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21440 (base 6) in base 7?\nAnswer: 11451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-14))\/(7\/((-98)\/(-2)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40 - -20. Let v = c - -20. Let w = -2 - -7. What is the closest to -1 in w, -0.2, v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1103 - 648. Suppose 5*u = o + 4510. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_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: Suppose -2*b = -0 - 4. Let d(m) = 5*m**2 - 2*m**2 + b*m**2. Let g(y) be the third derivative of y**4\/12 + 13*y**2 - 12*y. Determine d(g(h)).\nAnswer: 20*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2210465886?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 2 + (-4 - (-2 + -4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3431*b**3 + 5487*b wrt b?\nAnswer: 20586*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -23 and 61175.\nAnswer: 61152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + m + 1. Let s(u) = 11*u**3 - 4*u**2 + u + 1. Let v(r) = -n(r) + s(r). What is the third derivative of v(i) wrt i?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14782 + 15254. What is the greatest common factor of o and 4838?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.38, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*q**2\/3 - 338476*q\/3 + 84620\/3.\nAnswer: -4*(q + 21155)*(4*q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -36 + (119 + -32 - 79)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - t = 12. Let m be -7 + 4 - 11*-1. Let h be (m - 4) + -1*4. Solve 2*u + t*u - 5 = h for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -5*t + 15, 4*t + 0*o - 3*o = 1. Suppose 4*r = -4, -4 = 4*b - r - 1. What are the prime factors of (0 + b)\/(t\/(-92))?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 4*h**2 + 12*h - 10. Let o be i(5). Suppose -15*n + 108 = 3*n. Calculate the highest common divisor of o and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47*(-3)\/(-468) - (-164)\/656?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2529*c**2*s**2 - 20*c**2*s - 2*c*s**2 - 7*c*s - 16*s**2 - 12 wrt s.\nAnswer: 5058*c**2 - 4*c - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01842927 to four dps.\nAnswer: 0.0184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**3 - 7*g**2 + 4*g - 2. Let b be r(3). Suppose 0 = 10*d - 6*d - 12. Let p be b\/d - 26\/(-39). Solve y + 1 = -p for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6979927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 6*a**2 - 14*a - 9. Let p be o(8). Suppose -2*t + p*t + 18 = q, 54 = 3*q - t. Calculate the remainder when 11 is divided by -1*9*(-12)\/q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2227, 13484, 32253, 58534, 92327, 133632, 182449?\nAnswer: 238778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 1 + 3. Let a(i) be the second derivative of 0 + 0*i**4 + 0*i**3 + z*i + 1\/20*i**5 + 1\/2*i**2. Differentiate a(b) wrt b.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 12474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 4*u + 5, -2*j + 0*j - 5*u - 16 = 0. Let p(g) = -5*g**3 + 4*g**2 + 7*g - 4. Let c(n) = 5*n**3 - 3*n**2 - 6*n + 3. Give j*p(l) - 4*c(l).\nAnswer: -5*l**3 + 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of 3*w**5\/5 - w**3 - 13. Solve i(f) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 11*s + 12. Let f be d(-10). Let v be (-514)\/(-10) + -1 + (-42)\/105. Suppose 0 = -f*m - v + 54. Solve 3*z + 8 - m = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 683*-0.00405.\nAnswer: -2.76615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of -q**3\/6 - 9*q. Let n(g) = 6*g + 1. Determine -2*n(h) - 11*p(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/19, -52, 0.2?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 1 + 12*d**3 - d - 4*d**3 - d**2 + 2*d**2. Let u be g(1). What is the units digit of 3*3*1\/u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*k - 124*k - 12537 = 3*k for k.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6558, -14883, -23208?\nAnswer: -31533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 12 = 5. Suppose -17*v - 17*v - 336 = -13*v. Let y = d + v. Is 14\/13 at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 946 = -55*x + 901 - 1220 for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.056 - 12.236. Let n = 0.18 + y. Let v = -7 - n. Which is smaller: 2\/7 or v?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6840 and 18952215?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 5*m - 12613, 7*m = 2*m + 5*u + 12625. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + -3 + 8\/4. Let w be (-1 + 0)*(o + -1). Calculate the remainder when 21 is divided by (-3 - w - -2)*-6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14 - -1) + -21 + -4 + -2\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + p + 2*i - 64 = 0, -108 = 4*p + i. Let z = -20 - p. Solve -w + z*w = -7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/12)\/((-450)\/(-20)). Let d(r) be the third derivative of 0 - q*r**5 + 0*r**3 - 1\/180*r**6 + 4*r**2 + 0*r**4 + 0*r - 1\/945*r**7. Factor d(y).\nAnswer: -2*y**2*(y + 1)*(y + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 2*w - 24, -5 = -w - k + 1. Suppose -4*r + w = 22. Let j(g) = 5*g. Let o(z) = -10 - 9*z + 10. Determine r*j(q) - 3*o(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -7*z**2 - 2*z - 1. Let f be t(-1). Let v = -1052 - -1060. What is the remainder when (-5)\/2*f + -1 is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*r = 40. Suppose 3*l - r = -l. Suppose -9*c - c = -l. Put -3, c, -2 in increasing order.\nAnswer: -3, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39 (base 15) to base 4\nAnswer: -312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/2)\/3 - -11. Let m be 2\/2*1*3. Solve 0 = 5*j + n - m for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76 and 81567?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18)\/14*6006\/(-198). Calculate the highest common divisor of 689 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 10:12 PM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = u - 20. Suppose -6 = 2*x, n + 0*x + 14 = -5*x. Let l be -1 + 1 + n\/1. Sort l, u, -3.\nAnswer: u, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2 = -n + 3*n, n - 1 = -2*l. Let t = 15107 - 15104. Find x, given that 2\/3*x**t + 1\/3*x**4 + 1\/3*x**2 + 0*x + l = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2*g + 102. Let w = 271\/8 + g. What is the common denominator of -81\/8 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16\/12*45\/12\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*a = -46*a - 140. Suppose -2*j - a*j = -8*j. Solve -17 = -2*o - 3*o - 2*b, b + 4 = j for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of j**5\/20 + j**4\/3 - j**3\/6 + 7*j**2\/2 + 29*j. Let v(a) = -6*a**2 + 0 - 2 + 3. Let p be v(-1). What is g(p)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of m**5\/20 - m**4\/6 - m**3\/6 - m**2\/2 - 47*m + 83. Let h(d) be the first derivative of u(d). Determine h(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + (-1)\/2)*-6. Let z = 7 + -2. Let i = 12 + z. Solve -g*q - 48 = -5*a - i, 4*a = -4*q + 12 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4709 + -4728.9912. Let p = 20 + j. Round p to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20693960 divided by 2956280?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -86.2 * 0.2.\nAnswer: -17.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -33, 19, 203, 585, 1231, 2207, 3579, 5413?\n\"Answer: 11*w**3 - 25*w - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-3*2*sqrt(2160)*-6)\/(-1*sqrt(1452) + sqrt(1452) + sqrt(1452) - sqrt(300)*-3) + 0.\nAnswer: -4 + 108*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32092 and 7526?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 137.82447 + -0.19439?\nAnswer: 137.63008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18352 and 34114.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 143 + 49 = 0. Let m = 53 + w. Suppose m*g + 3*d + 2*d - 35 = 0, -2*d + 2 = -g. Calculate the smallest common multiple of g and 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238*v = 243*v + 20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*n + 26*n + 310 - 1150 - 106 = 0 for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 22 - ((19 - -11) + -7 + -16)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x - 3*x + 2 + 3*x. Let d = -28 - -16. Let r(v) = -4*v - 53. Let z be r(d). Give p(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.352 > 78\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 7:38 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2 = -4*z, 55 = -0*j + 4*j + 5*z. Suppose -80 = -4*w - 2*n, 5*w = 3*n - 0*n + 100. What is the lowest common multiple of j and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/12)\/((-264)\/(-594)). What is the closest to -3 in o, 0.3, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(38) - (sqrt(304)\/(sqrt(64)\/sqrt(8)) - sqrt(38))))\/(sqrt(4)\/(4*sqrt(2)*4))*5)**2.\nAnswer: 3040000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 5*x - 760. Suppose 0 = 5*u + 4*l - x, 7 = -2*l - 3. Let d be 1*-3 + u\/28. Which is the smallest value? (a) 2\/15 (b) d (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*o - 9*o - 8*o - 5*o as l + a*o and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7, -2\/7, -0.06, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -197 - -201. What is the derivative of 11*s**4 - 3 - 11*s**4 + 26*s**4 + 17 + 31*s**q wrt s?\nAnswer: 228*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 + 104 = 5*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 0. Let v = -33 - -35.9. Let q = v + p. What is q rounded to zero dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.097 plus 5660?\nAnswer: 5659.903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 6. Let w = 95 + -127. Let m = w + 37. What is the third biggest value in s, 0.3, m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-2))\/(4\/4). Suppose k*x = j + 17, 5*x + 6 = 3*x. Let b = j - -45. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 3*w = 12 - 8, 0 = 3*w + 9 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147678 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 294033 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-96)\/(-532) - (-10)\/(-35).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -31230?\nAnswer: -31301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 - -23. Suppose p*m - 8*s - 196 = -5*s, 0 = 5*m - s - 192. What is the remainder when 71 is divided by m?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3046533 months in centuries?\nAnswer: 0.00025387775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbikbvsskvbkb. What is prob of sequence bk?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 + -111 - (13 + (-104 - 11))?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -48, -69, -72, -57, -24, 27, 96?\n\"Answer: 9*s**2 - 48*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -50, -313, -1012, -2363, -4582, -7885?\n\"Answer: -36*c**3 - 2*c**2 - 5*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 329, 328, 327, 326, 325?\nAnswer: 324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*a - 26276 = 79*a - 4*d, 0 = 2*a + d - 26291. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -80. What are the prime factors of s?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(60\/(-25))*(-4)\/(-30).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -26. Let v be (-12)\/8 + (-10)\/4 - -2. Let r(k) = k**2 + k + 1. Let l(d) = v*o(d) - 4*r(d). Factor l(u).\nAnswer: -4*(u - 3)*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -8*h + h + 19*h - 3*h + 4*h. Let o(t) = -13*t**2. What is r(o(c))?\nAnswer: -169*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19198*t = -19283*t - 1020 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 19 + 64. Let m = 13 - n. Let v(a) = 2*a**3 + a**2 + 4*a. Let b(x) = 5*x**3 + 3*x**2 + 11*x. Determine m*b(g) - 11*v(g).\nAnswer: -2*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**2 + 7*y + 16. What is s(-5)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5322 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/30 and 69\/1010470.\nAnswer: 3031410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 5:44 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 5*s**2 + 4*s - 13. Calculate the remainder when p(4) is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2630.2 + 97722?\nAnswer: 95091.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(88) - 1*sqrt(88)) + sqrt(88))*4 + sqrt(88) + -1*(-1*sqrt(88) + sqrt(88)))\/(-6*sqrt(32)*2))**2.\nAnswer: 275\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m + 4. Let u(q) = 6*q - 11. Suppose -22 = -2*t + 7*z - 10*z, 0 = -3*z + 6. What is t*v(r) + 3*u(r)?\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/7 (b) 6 (c) -0.062 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 87881, 87886, 87895, 87908, 87925?\n\"Answer: 2*c**2 - c + 87880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 20*n**2 + 18*n - 27. Let r be l(-19). Is ((-2)\/1)\/(r\/1172) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 14. Let r be 3200\/(-18) - b\/(-45). Is (1*r)\/(4 + -6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3\/2 - 30005*g**2\/2 + 649730*g.\nAnswer: -5*g*(g - 43)*(g + 6044)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 8*l**2 + 4*l + 35. Let w be v(-8). Suppose n + 158 = 4*a, n = -4*a + w*n + 156. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/((-70)\/9))\/((-6)\/7)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17.91 - -18. Let r = 8.94777 + -9.0377733. Let q = o + r. What is q rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-23)\/3 + 18\/27. Let x(u) = 3*u**2. Let q(y) = -4*y**2 + y - 1. Let s(d) = 5*q(d) + 6*x(d). Let b(g) = g**2 - 2*g + 2. What is h*b(v) - 3*s(v)?\nAnswer: -v**2 - v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fggfufgugg. Give prob of picking 2 u.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {o: 3, h: 2, u: 3, b: 5}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 825 or 184717\/224?\nAnswer: 825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 261668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 177952441, 355904882, 533857323, 711809764, 889762205?\n\"Answer: 177952441*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4549406.\nAnswer: 2, 2274703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/6*(2 + -2). Let k(l) be the third derivative of l**2 + 0 - 1\/200*l**6 + 1\/100*l**5 - 1\/120*l**4 + c*l**3 + 0*l + 1\/1050*l**7. Factor k(g).\nAnswer: g*(g - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2464260 divided by -2?\nAnswer: -1232130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from www.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.808119 rounded to one dp?\nAnswer: -9.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64758?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 6*c + 6. Let g be (-15 - -16)*((0 - 0) + -6). Let j(h) = 7*h + 7. Let x(u) = g*n(u) + 5*j(u). Let f be x(-4). Solve f + 3 = 3*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) -0.4 (b) -9 (c) 4\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/(-3))\/((-1)\/(-3)). Suppose 0*r - 7 = -6*r - 7. Solve -8*s + 3*s - w = r for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 122 - ((9 - 18) + 7). Let t be (-16)\/(-6)*(-93)\/(-2). Is u greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 714 and 7496748?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -55263240 (base 7) to base 16\nAnswer: -488ebf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by 3\/(-6)*-2*4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -198*k - 98*k - 1038*k + 132*k in the form a*k + i and give a.\nAnswer: -1202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 907?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u - 6. Let k be i(-4). Let w(h) be the second derivative of 0*h**4 - 1\/10*h**5 + 0*h**3 - h**k + h + 0. What is the derivative of w(t) wrt t?\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-12)\/(-27))\/((-12)\/(-54))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - -6. Let q(h) = 2*h**2 + 11*h + 4. Let i be q(-5). Let j be 0\/i - (-77 + -22). Calculate the greatest common divisor of d and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6680 divided by 5?\nAnswer: -1336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16829*j**5 + 29009*j**2 wrt j?\nAnswer: -1009740*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2178)\/(-286) - (-104)\/(-169). Solve i = y*i + 54 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7198901\/246422820 + 56\/34513. Find the common denominator of 4\/63 and x.\nAnswer: 21420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-3 + 4 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5603*g + 5601*g - 14 - 426)*(0*g + 0*g + 3*g) in the form z + x*g + l*g**2 and give x.\nAnswer: -1320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.97116*-4.\nAnswer: -35.88464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -0 + 15. Let s(l) = 0 + 2 - u. Let w(d) = 7*d**2 - 2*d**2 + 2204*d - 2203*d - 3*d**2. Determine -s(t) - w(t).\nAnswer: -2*t**2 - t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 2 = -2*y, 0 = -2*b - 0*b - 3*y - 22 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/4, -0.4, 705?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3*h**3 + 13*h**2 - 5*h + 7. Let o be a(4). Solve 2*y + 2*q + o*q = 15, y + 30 = 5*q for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-64)\/72*(-3)\/(-12). Sort 4, a, 0.1 in increasing order.\nAnswer: a, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4*z = 43 + 3, -3*z = 0. Let c = g + 28. Is 0 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + (3 - 6656\/1108). Are q and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15516 - 15515. Let j = 0.88 + -42.88. Let w = j - -27. Sort -2, 0.2, v, w.\nAnswer: w, -2, 0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 + 0 - (-1 - 0). Sort 4, 5, z.\nAnswer: z, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*f*i**2*n**5 + 34*f*i**2 - 36*f*n**4 - f + 3*i**2 + 4*i*n wrt n.\nAnswer: 300*f*i**2*n**3 - 432*f*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v - 14. Let p(u) = -7*u - 29. Let q(t) = -9*j(t) + 4*p(t). What is q(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -38*l - 289. Give t(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144*o + 6*o**3 + 144*o.\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/2161 (b) -3\/2 (c) -452\/3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/6 and -13\/113946.\nAnswer: 113946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -2*k**5\/5 + 9*k**4\/2 - 2*k**3\/3 - 11*k + 53. What is the third derivative of b(g) wrt g?\nAnswer: -48*g + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -5*(4 + -2 + 0 + sqrt(1300)*-1)*-6)**2*-1.\nAnswer: -1174096 + 38400*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27737491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.126851 rounded to three decimal places?\nAnswer: 0.127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*l**2 - 3*l - 17 + 2*l + 18 - 4*l wrt l?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.20332 - -1.37356692?\nAnswer: 1.57688692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-78)\/18 + 3)*-3. Sort -3, u, -2, 5 in increasing order.\nAnswer: -3, -2, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 287.\nAnswer: 1722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2006931362?\nAnswer: 2, 17, 149, 396157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 10.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 2*t - 5*m - 18 = 0, -5*t = -2*m - 24. Suppose 3 = -3*j + t*j. Let d be (-8)\/j*(-9)\/6. Solve -8*h - 8 = -d*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (69*d + d**2 - 69*d)*(-10*d + 224 - 16*d**3 - 225 + 19*d**3).\nAnswer: 3*d**5 - 10*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*s + 48*s - 16 = 0. Let l = -41 - s. List the prime factors of (268\/(-10))\/(10\/l).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -8.75403761579\nAnswer: 9.75403761579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 e when two letters picked without replacement from {b: 1, m: 2, e: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 104774 (base 8) in base 10?\nAnswer: 35324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 303 = 96*i + 975 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15 + 260?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 4 + -2 + 2. Factor -k - 3*k**3 + 4*k + g*k**3 - 4*k + k**2 - k**4.\nAnswer: -k*(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (4 - (-1 + -2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gl when two letters picked without replacement from dbgablgglblgggklbgl.\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(3\/11)\/(z\/z**(-13)) assuming z is positive.\nAnswer: z**(-151\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.5, -0.092, 30, -3\/8, -4?\nAnswer: -0.092","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/12*(-6)\/(-1). Suppose 0*i - j*i = -6. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2583 is divided by 84.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-7)\/(441\/27))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fpffffffpffffffpffpf. Give prob of picking 3 f.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 8 - 2*q + (8 - 5 + 16)*(0 + 0 - q) in the form m + p*q and give p.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 9 + 8)*(-k**4 + k**4 - 2*k**4).\nAnswer: 8*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - -3. Suppose b = -5, 2*a + a + 3*b = -k. Suppose 4*p - 44 = a*h, -4*p + h + 23 = -29. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2684 and 366.\nAnswer: 8052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, 9, 1\/20, 0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -7*b**2 + b + 1. Let z(o) = 3*o**3 - 262*o**2 + 6346*o - 2. Let w(x) = -2*y(x) - z(x). Factor w(t).\nAnswer: -3*t*(t - 46)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/((-123200)\/44)*(-24)\/9?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/1968251 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 32\/48*129\/2 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 21*q - 16*q - 162, 3*a = 5*q - 164. What is the remainder when q is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*d - 305 + 2*d + 20*d - 7*d + 307.\nAnswer: 28*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 3*l**2 - l - 2. Let g be q(-3). Let w be (g + 6\/(-2))\/(-1). Suppose -n - 5*n = -2*n. Solve 3*r - w*r + 1 = n for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 714333.\nAnswer: 3, 31, 7681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20 or -1714?\nAnswer: -1714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12.29 - -0.29. Let w = 14 + j. Which is the third biggest value? (a) -3 (b) 4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 - 36)*(-1420*t - 2059*t - 11 - 14 + 25) to f*t + d and give f.\nAnswer: 128723","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50 - 53. Let r be f*(-1)\/12 - (-5)\/(-4). Let q be r - (88\/(-20) - (-8)\/2). What is the closest to 0.1 in 1\/6, 1, q?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1109407 is divided by 138673?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6028?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 3*p + 4. Suppose 6*a - 2 = 5*a. Let v be i(a). Suppose -v*q = -2, -585 = -3*x - 5*q + 113. What are the prime factors of x?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -63995\/462 + 971\/7. Find the common denominator of -5\/12 and q.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**2 + 2 - 2 + (22*r + 59 - 59)*(-2 + 2 - 3*r) - 36*r**2 - 3*r**2 + 6*r**2 as g + d*r + c*r**2 and give c.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + j - 1 = 0, -3*x = 2*x - 3*j - 11. Which is the closest to x? (a) 0.3 (b) 8 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 19*c + 3. Let w be l(15). Suppose 0 = -61*v + w*v - 12. Solve 2 = q + v for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 61 - 34?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 3*m - 7. Let r be x(5). Suppose 0 = r*s - 5*s + 36. What are the prime factors of (6\/s)\/(1\/27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 5 - 2)*(-10 + 0 - 2) + 1 + 1 + 5)*(18*t**2 + 417 - 417).\nAnswer: 990*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1255951903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 501797 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18396 - -55190\/3. Which is the third smallest value? (a) -4 (b) 0.1 (c) f (d) -7\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.558 + -11.224. Let z = g + -0.034. What is z rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -74 + 74. Suppose -5*z + 8893 = t + t, z - 5*t - 1757 = s. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -3*l**3\/5 - 23064*l**2\/5 - 115227*l\/5 + 138294\/5 = 0.\nAnswer: -7683, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6139924 equal to 5.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 5420597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -386 + 142 = 4*l. Let c = -59 - l. Solve c*q + w - 1 = 0, -q - 2*q = w + 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7442741, 7442742, 7442743, 7442744, 7442745, 7442746?\n\"Answer: k + 7442740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -129.1 times -0.0803?\nAnswer: 10.36673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i**3 - 2*i + 0*i**2 + 4*i**4 - 2*i**4 + 6*i**2 - 5*i**2 to n*i**4 + t*i**3 + a + q*i**2 + z*i and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 5, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 527*z + 1515662 = 1526729 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 5*h. Which is smaller: -2 or h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z + 3. Let b be f(-5). Let t = b - -5. Let s(u) = -2*u + 2. Let l(i) = -2*i + 2. Give t*s(a) - 4*l(a).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 1 + 7)*(-2 + 0 + 1)*(-h**2 - 2*h**3 + h**2).\nAnswer: 38*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-3))\/(21\/(-126)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (375\/(-1000))\/(27\/(-16))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12244 - 5?\nAnswer: 12236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4*(14\/(-76))\/(-7)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3*b - 82 = 0, -2*u - 3 = 5*b - 31. Find the second derivative of -2*f**4 - u*f + 5*f**4 + 16*f wrt f.\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3.8764 (b) 4 (c) 1\/2 (d) -4.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00154469825 rounded to 7 decimal places?\nAnswer: 0.0015447","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 349472?\nAnswer: 2, 67, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32338.\nAnswer: 2, 19, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1572291 and 564?\nAnswer: 6289164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 43, 2, 3, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 5\/6, 4, 4.3, 0.4, -8\/9 in ascending order.\nAnswer: -8\/9, -0.5, 0.4, 5\/6, 4, 4.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 4*p**4\/7 - 79600*p**3\/7 + 1749260*p**2\/7 + 79600*p\/7 - 1749264\/7 = 0.\nAnswer: -1, 1, 22, 19878","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6497.\nAnswer: 73, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -338*c + 158*c - 20*c**2 - 4*c**3 + 156*c.\nAnswer: -4*c*(c + 2)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19194 + -19194. Which is smaller: s or -3\/9244?\nAnswer: -3\/9244","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 635, 642, 649, 656?\nAnswer: 663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-12 + (-1 - (-16 + 14 + -7) - -14)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38 + 78. Let x(h) = 40 - w + 3*h**2 - h**2. Let n(z) = 5*z**2. Give n(x(j)).\nAnswer: 20*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.7981 + -1.2019. Which is the closest to w? (a) -2\/1511 (b) -3 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 8*y**2\/3 - 10346*y\/3 + 862 = 0.\nAnswer: 1\/4, 1293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of c*h*p + 84*c*p**2 + 16*h*p**2 - 2*h wrt h.\nAnswer: c*p + 16*p**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 6*m - 1. Let s(o) = -2*o**2 + 181*o + 3. Determine -s(t) - 5*w(t).\nAnswer: 7*t**2 - 151*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/33*(-270)\/(-150).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 + 1 + (126 - 127)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20*i**2*o**2 - 3*i**2*o + 2*i*o**2 - 409*o**2 + o wrt i?\nAnswer: 40*i*o**2 - 6*i*o + 2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*n**2 - 235*n**2 - 77 + 76 - 56*n**2.\nAnswer: -353*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*y**2 - 154*y**2 + 44*y**2 - y**3 - 11*y**3.\nAnswer: -12*y**3 - 62*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from hhhhhhhhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-175)\/(-14))\/(535\/642).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 1:32 AM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ev when two letters picked without replacement from eeeeeeev.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-175))\/(3*1\/15).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 + 21. Let w = -10496 + 10495.27. Which is bigger: w or h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/2 or 234922\/7?\nAnswer: 234922\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 32.389*0.104\nAnswer: 3.368456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/((0 + 5)\/(-5)) + -4 + 1. Let f(r) be the first derivative of -23\/2*r**2 + 0*r - 22\/3*r**u - 17. What is the second derivative of f(m) wrt m?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -28252*a**2*q + 40*a**2 + a - 2*q**2 + 340 wrt q?\nAnswer: -28252*a**2 - 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 20845, 42153, 63933, 86185, 108909, 132105?\n\"Answer: 236*r**2 + 20600*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 304 - 268. Calculate the smallest common multiple of k and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gdgggdd. Give prob of sequence ddd.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-3))\/(2\/6). Let s be (-2)\/(n\/(18\/(-4))). Solve -5*k - 16 = s for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, -0.1, 14, -0.02, -4?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 3*x = 28, -2*x + 0*x + 42 = 5*b. Let q(g) = b + 8*g + 3 + 8*g. Calculate the remainder when q(8) is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/507580 and -39\/355306?\nAnswer: 3553060","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**2 - n + 1. Let m be t(1). Let o(v) = -v + 3*v**m - v**3 + 3 - 2 - v**2. Is o(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s. Let w(k) = -2*k. Let c(v) = 5*r(v) - 2*w(v). Let n(z) be the second derivative of 0 - 1\/3*z**3 + z + 0*z**2. Calculate n(c(m)).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, r: 16}. What is prob of picking 1 r and 3 d?\nAnswer: 64\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 248025538 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -165 - -2996. What is the remainder when c is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2489701\/288 + -8645. Find the common denominator of m and -77\/288.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of h**4\/4 - 3*h**3 + 7*h**2\/2 + 6*h - 679. Calculate t(6).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -0.320466?\nAnswer: -0.0320466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 8*d**2 + 8*d + 2. Let c = -5 - -7. Suppose 0*q = -c*q + 14. Let h be k(q). What is the greatest common factor of h and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166511 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*n + 10*n - 29*n + 10*n**2 + 9*n.\nAnswer: 10*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/8, 0.680818, -3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**3 - 2*m**2 + m - 1. Let i be v(-2). Suppose -204 = -i*n - 9. What is the remainder when n is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2405*n**2 + 5403*n wrt n.\nAnswer: -4810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -3*y + 5*y. Suppose 2*s + 63 - 135 = y. Calculate the remainder when s is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/6*-12 + -2. List the prime factors of (-12)\/(-8) - (-93)\/z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51 and 984317?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246 - 240 = -f + 70*z, 6*f - 7*f = -4*z - 24 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.7 + 1.74. Let p be (-4 - -2)\/((-72)\/(-8)) - (-64)\/(-36). Which is the nearest to -1\/3? (a) p (b) u (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4*j = 17 - 57, j = -4. Let s(u) = -u**3 - 4*u**2 + 9*u - 23. Determine s(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*y**5 - 268*y**4 - 216*y**3 + 688*y**2 - 224*y = 0. Calculate y.\nAnswer: -2, 0, 2\/5, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8095 + 5863?\nAnswer: -2532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20376887611941 + 15.\nAnswer: -20376887611926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-242)\/(-605))\/(1\/105*3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/41855 and -71\/306964570?\nAnswer: 306964570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 9, a: 10}. What is prob of sequence at?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 111 = 103. Let i = 4 + -13. Let y = i + 4. Put y, m, -2 in increasing order.\nAnswer: y, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -10*p**2 - 6*p - 2. Let k = 6 + 0. Let l(q) = 7*q + 6. Let w(j) = -1. Let r(o) = l(o) + 4*w(o). Calculate k*d(y) + 17*r(y).\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 5*y + 74. Give o(15).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-760)\/(-19) + (-1 - 0) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u\/u**(-2\/5)*u)\/u)\/u)\/(u\/u**1)*(u\/u**(-1\/5))\/u**(-1\/3)*(u*u\/u**(1\/4)*u*u*u**(1\/2))**(3\/19) assuming u is positive.\nAnswer: u**(4109\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -101?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of a**4\/24 + 3*a**3\/2 - a**2\/2 - 2. Let m(w) be the second derivative of h(w). Let y be m(-4). Solve 2*b = -y - 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 342 + -349. Let f(p) be the second derivative of -p**5\/20 - 2*p**4\/3 - 3*p**3\/2 + 3*p**2\/2 - 2*p. Determine f(g).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/440 and -101\/200?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qzaqqzqzqqqzqzzzz. Give prob of sequence qz.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = u + 45. Let s = u + -6. Calculate the remainder when s is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22*i + 38*i + 80*i)*(-5 + 3 - 1) + (-4 + 2 + 3)*(2*i - 60 + 60) to the form t*i + q and give t.\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 n when two letters picked without replacement from nchcnhcnnncchncnn.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46.4 + -51. Let s = q + 5. Suppose -2*g + 5 = 3*g. Which is the third smallest value? (a) 1\/3 (b) s (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.211 - 0.852. Let b = h - -0.76. Let j = 0.29 + b. Round j to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-1))\/(7\/((-21)\/(-3))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a - 6, 12 = h - a + 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 10, 1, 4\/17?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1155000 = -17*r + 14*r. Round r to the nearest ten thousand.\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40 - -81. Let x = n - 38. What is the units digit of ((-10)\/4)\/(x\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 1 + 2*y - 6 - y - 1. Let b be p(7). Let t be (-7)\/(-1) + b*-2. Solve -2*x - 4 = -2*q, 2*q - 5 = -t*x + 6*x for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f + f - 5*f**2 - 3*f + 0*f**2 to the form w*f**2 + u + x*f and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -5, 28*p - m = 26*p + 3 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/4))**(-13\/5)*(o*o*o\/((o*o**(1\/4))\/o))**37)\/(o**(1\/6)*o*o**6)**(-47) assuming o is positive.\nAnswer: o**(6569\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(325)*4 + (sqrt(13) - (sqrt(208) + 0))) + (-4*(sqrt(65) - sqrt(65)*-4))\/(1*(sqrt(5) + 3*sqrt(5))).\nAnswer: -22*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -5*d - 10, 2*q + 20 = d - 2*q for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -z - z, 5*z = -4*q + 15. Suppose 45 = q*t - 5*t. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 k when two letters picked without replacement from ckjahhhchhhkaagkakhh?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 11301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/1 + (-748)\/66.\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2072 minus 74242825122?\nAnswer: -74242827194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and 2337995.7?\nAnswer: 2337995.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50\/8883 and 145\/5922.\nAnswer: 17766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 8:41 PM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6346517*r + 6346521*r = 5*t + 10, -41*t - 82 = -5*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*d**2*n**3 + 148*d**2*n**2 - 24*d**2*n + d**2 + 15642*d*n**3 - 2*n**3 - 3*n**2 + 2 wrt n?\nAnswer: 18*d**2 + 93852*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3 - 125656820*r**2.\nAnswer: -r**2*(r + 125656820)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*k*n**3 + 2*k*n**2 - 20*k*n + 23*n**3 wrt n.\nAnswer: 114*k + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 808178?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 6*r**2 - 5*r + 1. Let s be y(5). Let j be 1*-5 + s + 1. Does j = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2353.8 + -2354. Which is the third smallest value? (a) 4 (b) -0.089 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -94 and 32.\nAnswer: -3008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 937 - 11133. Let t = 224275\/22 + r. Calculate the common denominator of t and (18\/225)\/((-8)\/(-265)).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one fifth of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 2\/3, -947346, -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4389317\/14948262 + -2\/118637. Calculate the common denominator of h and -129\/140.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 7:49 PM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -7*o + 27. Let i be s(-5). Let q(y) = 58*y + i*y - 121*y. Let x(t) = 11*t - 1. Give q(x(u)).\nAnswer: -11*u + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*r = 33*r + 18. Suppose -2*i + 41 = -r*y, i - y + 53 = 3*i. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*(i\/(i**(-2\/3)*i*i))\/i)\/i)\/i)**(-24)*(i*i*i**(-1\/3))\/i*i**(2\/5) assuming i is positive.\nAnswer: i**(856\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/2)\/((-1)\/(-2)). Suppose 12 = 3*t, -w - t - 6 - 12 = 0. Let x be 14 + w + 54\/9. Sort -9, x, n in descending order.\nAnswer: n, x, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-8))\/g**(1\/14)*(g\/((g\/g**1*g)\/g))**(-3\/2) assuming g is positive.\nAnswer: g**(52\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, v: 4, c: 1, h: 1, n: 3}. What is prob of picking 2 n?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 14. What is the least common multiple of (-10 + 8)\/(1\/(-6)*2) and c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 594 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 78 = -f. Suppose f = 2*b + z, 0*b = b + 2*z - 16. Let h(l) = -6 - 6 - l**2 + b. Let n(i) = 10*i**2. Calculate h(n(q)).\nAnswer: -100*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -260 * -0.03.\nAnswer: 7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1039?\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*b + 63 + 165 = 0. Find h, given that 0 - 6\/11*h**b + 102\/11*h**2 + 0*h = 0.\nAnswer: 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.024774 rounded to 4 decimal places?\nAnswer: -0.0248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 396 and 19404?\nAnswer: 19404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 23 = -5*p - 3, 4*j + 4 = -3*p for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -15. Let t = 4 + o. Let i(u) = u - 1. What is i(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/8)\/((-16)\/96)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 294463 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/12 (b) -0.1 (c) 3\/4 (d) 31 (e) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3*f - 14 - 14 = 0, 5*z + 48 = -2*f. Find the common denominator of 49\/2 and (-30)\/z*(-306)\/(-45).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(180) - sqrt(180)*-1 - sqrt(180)) + -2*sqrt(180) + -4)**2.\nAnswer: 48*sqrt(5) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 229.\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -275 + 450 - 175 + 1073*n + 3308*n**3 wrt n.\nAnswer: 19848*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**13*r*(r*r\/((r*r\/r**9*r)\/r))\/r*r assuming r is positive.\nAnswer: r**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33.3 - 3.3. Let u = -870.12 + 900.11904. Let a = k - u. What is a rounded to 4 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q**2 + 6*q**3 - 3*q - 238 + 238 to the form f*q**2 + t*q**3 + h*q + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (88 - 55)*(12 - -1)*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32817 is divided by 127?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v. Let h(x) be the third derivative of 1\/30*x**5 + 0 + 0*x**4 + 0*x + 0*x**3 - 3*x**2. Determine h(q(a)).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4*i. Let k(a) = 35*a**2 + 3*a + 3. Let u(z) = 2378*z**2 + 203*z + 203. Let s(n) = 203*k(n) - 3*u(n). Determine s(t(h)).\nAnswer: -464*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -6. Let q be (65\/(-26))\/(1\/(-2)). Let m = u - q. Sort m, -2, -1 in decreasing order.\nAnswer: m, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 19*g - 14. Let c be i(-20). Let z(h) = -7*h**3 - 6*h**2 + 8*h + 3. Let a(n) = 15*n**3 + 13*n**2 - 17*n - 6. What is c*a(y) + 13*z(y)?\nAnswer: -y**3 + 2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**3*m + 210*l**3 - 4*l**2*m + l**2 + 55*l*m + 618*m wrt l?\nAnswer: 12*l*m + 1260*l - 8*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*t**2\/4 - 22695*t\/4 - 1868391\/2.\nAnswer: 3*(t + 141)*(9*t - 8834)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - (sqrt(68) + -1*sqrt(68))) + -2.\nAnswer: -2 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of n**8\/90720 + n**7\/11340 - n**6\/1080 - 7*n**5\/60 - 3*n**2. Let s(d) be the third derivative of w(d). Factor s(t).\nAnswer: 2*(t - 1)*(t + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -131.34763 to the nearest integer.\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14105.3976 minutes in weeks?\nAnswer: 1.399345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 5*b**2 - 38*b + 238. Suppose -380 = -15*y - 125. What are the prime factors of k(y)?\nAnswer: 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 156584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 19. Let l = -5 + 10. Calculate the greatest common divisor of v and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 594 - ((-17)\/136 - (-71)\/(-8))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4154*r**2 + 648*r + 1809. Let z(o) = -o**2 - 108*o. Let j(a) = n(a) + 6*z(a). Find the first derivative of j(s) wrt s.\nAnswer: 8296*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 787 = 2*w, -3*b + 793 = 2*w - 0*b. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -115 + 62. Which is the fourth smallest value? (a) 1\/4 (b) -3 (c) y (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 b when three letters picked without replacement from {y: 2, r: 1, p: 1, f: 5, a: 4, b: 2}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 + 41. Solve -x*y + 6*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69 and 42711?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*u = 10*u - 494. Is -128\/7 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 833619.4 millilitres to litres.\nAnswer: 833.6194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -265373 (base 14) to base 6\nAnswer: -44145401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 4*j - 1 + 2*j)*(-4*j + j + 2*j).\nAnswer: j**2 + j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7906 a multiple of 232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2006 + -1605. What is the hundreds digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2229376 is divided by 63687?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) -5 (c) -0.12 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 915 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 5*g + 130 = 0. Let l = g - 7. Solve l - 1 = -b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 161 + -161.138. Let c = 0.2287 + -0.084. Let q = c + p. Round q to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (11 + 3 + -13).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 65, 58, 37, -4, -71, -170?\n\"Answer: -g**3 - g**2 + 3*g + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 247594?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1331) - (sqrt(1331) + -1))*6 + 5)**2 + 2*(sqrt(1331) - -4*(-1*sqrt(1331))**2)*1.\nAnswer: 22*sqrt(11) + 10649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -187462, -374924, -562386, -749848, -937310, -1124772?\n\"Answer: -187462*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, -17, -115, 4, 0.3, 0.079 in ascending order.\nAnswer: -115, -17, 0.079, 0.08, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*o - 4*l, -o + 2*l = -5*o. Suppose 0 = -2*g - g - 15, 0 = 4*t - o*g - 62. Suppose 5*i - 2*i + 4*v - t = 0, 3*i + 5*v = 17. Are i and 2\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.732 + 839.732. Let q = r + -837.8. Sort 0.1, q, -16.8 in decreasing order.\nAnswer: q, 0.1, -16.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 3 + 2 - (-6 - -32 - -49)\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -t**10\/302400 - t**9\/20160 - t**8\/4480 - t**5\/30 + 8*t**2. Let q(c) be the third derivative of i(c). Factor q(u).\nAnswer: -u**2*(u + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1010110021110000 + 2011?\nAnswer: 1010110021112011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -127 at most as big as 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 60 = 5*k - i, k + 24 = -3*i. Let y = 2 + k. Let o be y\/(-3) - 4\/(-6). Solve -o - 5 = -4*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -263.48 rounded to the nearest 10?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + -8. What is the remainder when (1 + -3 + a)*2 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*o**3 - 328*o**2 - 3*o - 925294 wrt o.\nAnswer: 18*o**2 - 656*o - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1684070, 3368134, 5052206, 6736292, 8420398, 10104530, 11788694?\n\"Answer: x**3 - 2*x**2 + 1684063*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214 = 3*z - 4*t, 5*t - 10*t - 286 = -4*z. Calculate the greatest common divisor of 185 and z.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**4 + 4*x - 4*x + ((-3 - 1 - 6)*(1 + 0 + 2) - 4 + 4 - 3)*(0*x**2 + 0*x**2 - x**4).\nAnswer: 32*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**0*m*m**(-2\/9)*m**(11\/4)\/(m*m*m**(-5)*m) assuming m is positive.\nAnswer: m**(199\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -57, -165, -337, -573?\n\"Answer: -32*y**2 - 12*y - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, -2, -5, 1, 0, -3, -19 in increasing order.\nAnswer: -19, -5, -3, -2, 0, 1, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2618938l in millilitres?\nAnswer: 261.8938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*g - 111*g = -31*g - 106728. What is the thousands digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 17. Let o = -0.5 - -1. Let d = o - k. Is -1 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (306\/(-357))\/((-6)\/70) - (7 + 11).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 10*z**2 + 11*z + 10. What is the remainder when 17 is divided by l(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.0085 - 8.9815. Which is smaller: o or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38902 (base 11) to base 8.\nAnswer: 154556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 18 = -6. Put 24, g, 1 in decreasing order.\nAnswer: 24, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 9074, -1\/10, 4\/3, -4.3?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 105\/(-6) + (-1)\/2. Let q be (-1 + 4)*j\/(-6). Is 7 a factor of (-34)\/(-2) - (q + -10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/5, 1, 17\/4, 2?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4*j**2 + 3*j + 4*j - 5*j**2 - 4*j. Determine p(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j + 2*j - j**3 - 2*j**2 + 2*j**2 - 2*j**3 + (0 + j + 0)*(-45 + 6*j**2 + 45) - 2*j**3 + 7*j**3 + 3*j**3.\nAnswer: 11*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-378) - 2\/(-12)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2778 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4 = -2*h - 4*r, -h - 1 = -r. Suppose h = 4*i - 3*p - 15, 2*p + 4 + 6 = i. Let a = 223247\/804 - 833\/3. Which is greater: i or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 + (342\/(-1197))\/(2\/238)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**2 + 2*m - 15. Let a(d) = 5*d**2 - 6*d + 44. Let u(n) = -6*a(n) - 17*b(n). Let z be u(-6). What is the tens digit of (-6)\/(-15) + z\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13\/38 - -3\/19. Let o = -687.16 + 666.36. Which is smaller: z or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((-3)\/6) + 2. Let g(x) = -4*x + x**3 + x**2 + y*x - 3*x**2. Is g(4) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(176) + (sqrt(176) - (sqrt(176)*1 + -5) - sqrt(176))) + (4 + sqrt(176)*-2 - sqrt(176)) + -1 + sqrt(176) + 3)**2.\nAnswer: 304*sqrt(11) + 1065","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 10*v**2 - 12*v - 5. Let j be i(-9). What is the highest common divisor of 33 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/4799, 4, 0.37, 27, -2\/19 in decreasing order.\nAnswer: 27, 4, 0.37, 2\/4799, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -3*t - 10, -4*t - 5 = t - b for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -364 (b) 1\/5 (c) -0.1 (d) -2 (e) -2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43062580 is divided by 14354192?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-22)\/48 + 33\/264. Which is the biggest value? (a) -2 (b) 3\/5 (c) 2\/7 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-12)*(-5 - 1). Suppose -l*t + 15 = -h, 4*t + 3*h - 7*h - 20 = 0. Suppose t*d - u = 184, 0*u - 3*u - 145 = -4*d. Is 12 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2333225\/62 or 37634?\nAnswer: 2333225\/62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 5*b + 73, 3*g + 5*b - 149 = 150. Suppose -2*m = -487 - g. Suppose 10*q - m = 5*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2348\/3 + -37529\/48. Find the common denominator of -1\/112 and x.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (1 - -4) - (-29 + 5 + -20).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 41 (b) -259 (c) -20 (d) -0.018\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -115202 (base 6) to base 2\nAnswer: -10011111110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40080 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.09 - -0.71. Let w = -0.69 + t. Let g = w + -0.61. Which is the biggest value? (a) g (b) -2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.85 - -41.75. Let r = q - 46.60309. Round r to four dps.\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 15*g + 76 = 24 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 8244 (base 10) to base 2\nAnswer: 10000000110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 2*d + 16, 2*l + 3*d = d - 4. Let m = 17 + l. Let j = 57 - 33. Calculate the remainder when j is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.393, 2\/3, -2\/15, -0.2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of v**5 + 46*v**4 + 12*v**3 + 143*v**2 + 3*v.\nAnswer: 60*v**2 + 1104*v + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2573 + 13408?\nAnswer: 16082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 2*y**2 - 8*y + 4. Let r be s(4). Let q be (3 - 56)*r\/(-2). Let j = q - 526\/5. Is -1 at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 - 27. Suppose 0*h = 2*h - 38. Let c = h + z. Does 13 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6dc + 7d3?\nAnswer: f7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 157370500 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1391040 and 8211.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*c + 10*c + 100 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -338, -3236, -11238, -26894, -52754, -91368?\nAnswer: -145286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + i, -m = -3*i + i. Which is the biggest value? (a) -0.03 (b) -3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 13 = -t, 10*x + 2*t - 8 = 13*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fs when two letters picked without replacement from ffsfffssssffsffffff?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/17)*s*(s\/(s**(-2)*s*s*s))\/s)**(1\/12) assuming s is positive.\nAnswer: s**(1\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w + 17*w - 1156 = 212*s, -9*w - 3*s + 4*s + 11 = -4*w - 14 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.08 + 1.08. Let v be (11 - 8) + (-223)\/75. Which is smaller: b or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - 58*w - 450. Let s be t(-7). Put 10, 3, 1, s, -4 in descending order.\nAnswer: 10, s, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 471, 952, 1419, 1866, 2287, 2676, 3027?\nAnswer: 3334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(-18)\/14 + -1. Let r = -191\/150 - 3\/50. Which is the nearest to -1\/9? (a) s (b) 2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**4 - 21*w**3 - 147*w**2 - 343*w = 0?\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2 - 8*x - 5. Determine z(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 385240 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -156. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/280)\/(2405\/3367))\/2?\nAnswer: 1\/100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s + 4. Let g(n) = 2*n + 8. Determine 2*g(u) - 5*h(u).\nAnswer: -u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 u when two letters picked without replacement from {u: 3, n: 1, o: 1, h: 3, q: 6, l: 4}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 16, 2*u + 5*c + 0 = -8. Solve -8*v - 10 = -u*v + 2*j, 2*j + 2 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 55621871?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-22) - (-1055)\/(-55). Let c be 12\/(-4) - (y - 0). Solve -2*g = -5*r - 20, -4*g - 2*r = 2*r + c for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h + 21. Let p be u(5). Let t(b) = -12 - b**3 + p + 3*b + b. Calculate t(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*s**4\/5 + 15768*s**3\/5 + 1190571*s**2\/5 + 11611672*s\/5 + 4758996\/5 = 0. Calculate s.\nAnswer: -62, -11, -3\/7, 2326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 880108144.\nAnswer: -880108140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2\/7 - 344*t\/7 - 7396\/7.\nAnswer: -4*(t + 43)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -18 (c) 13 (d) 0.3 (e) 1\/5 (f) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 192 * -0.007.\nAnswer: -1.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 2\/15, 4\/5, 3 in decreasing order.\nAnswer: 3, 4\/5, 2\/15, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 73*t**2 + 888 - 2*t - 2*t**2 - 69*t**2 in the form b*t**2 + s*t + r and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 57\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 13 - 5. Suppose -u*c + 14 = -2. Suppose -c = -2*s - 2*k, 3*k + 26 = s + 6. Solve -m = -4*q - s, 3*q - m + 5 = -0*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -983, -1971, -2949, -3911, -4851?\n\"Answer: b**3 - b**2 - 992*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 5*s - 4*x - 29, -5*s = -x - 32. Suppose 4*v + s - 27 = 0. Suppose -v*r = -r. Which is the second smallest value? (a) -0.3 (b) -5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 u when two letters picked without replacement from {u: 2, d: 6, r: 3, a: 2, w: 3, n: 2}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10, -14, -40, -62, -74?\n\"Answer: g**3 - 7*g**2 - 10*g + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16915777129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-4 + (-5 - -4) + 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12204984 to the power of 1\/3, to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9174 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/14115 and -131\/832470?\nAnswer: 783354270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1315 and 1771?\nAnswer: 232.8865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.9573488 litres?\nAnswer: 957.3488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8191842687.\nAnswer: 3, 7, 2011, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -4, 6, -2, -25.\nAnswer: -25, -9, -4, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68078 + 5974 = 2939*w + 427*w for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 1058 = -7*u + 1102, -2*u - q = -18 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1720785770 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16299*h**4 + 27605.\nAnswer: -65196*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 521220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/13 (b) 0.12 (c) 5\/2 (d) 0.1 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 4*m - 4, 0 = -7*m + 3*m + 3*s + 5. Suppose k - 31 = 2*z + z, -8 = z + m*k. Does 12 divide (-644)\/z - (-4)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 533 divided by 1\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -161*o**2*z**3 + 2*o**2*z + 449*z**3 with respect to o.\nAnswer: -322*o*z**3 + 4*o*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4081900.25422 + -59.74578. Let g = x + 4081878.00386. Let m = g + 82. Round m to 4 decimal places.\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -288 + 16*j - 30*j + 146 + 141 - 30*j**2 + 14*j.\nAnswer: -30*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -39, -75, -131, -213, -327, -479, -675?\nAnswer: -921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 6, 77 in decreasing order.\nAnswer: 77, 10, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 g when three letters picked without replacement from {l: 2, z: 7, g: 4}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x - 51. Determine z(-27).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -244 - -410. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -193941 - 56059. Round f to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 25 + 1 = 0. What is the remainder when 1739 is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -5*h**5 - 24*h**4 - 16*h**3 + 80*h**2 + 144*h + 64 = 0?\nAnswer: -2, -4\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -86\/4095 and 167\/262626.\nAnswer: 3939390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -341*j**2 - 8*j - 23. Let z be i(-2). Which is greater: z or -1369?\nAnswer: -1369","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89993.78kg to grams.\nAnswer: 89993780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 522391662?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -95*z + 576. Give h(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 12. Suppose -34 - 5 = -2*n + m*t, -4*n + 5*t + 63 = 0. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7874 + -7864. Let m(d) = d**2 + d. Let a be m(-2). Suppose 2*t - z = 4, t + a*z - 5 = 7. Sort t, 1, j.\nAnswer: 1, t, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1059*c**3 + 2*c + 53*c**2 + 533*c**3 + 528*c**3 to k*c**3 + v + d*c**2 + a*c and give d.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/2299? (a) 0.1 (b) 3\/10 (c) 1\/15 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-590)\/160*-484 - 1\/(-4).\nAnswer: 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 9 - 551\/174*18?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from buyuuboydyvuuuouy. Give prob of sequence bd.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 4*h + 5. What is i(6)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -3, -9511 in ascending order.\nAnswer: -9511, -24, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1767.083 times 11.5\nAnswer: -20321.4545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 b when three letters picked without replacement from aaabbbb.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q - 3*q + q**3 + 4*q + 7*q**2. Let j(g) be the second derivative of -g**5\/20 - 5*g**4\/12 - g**3\/2 - g. What is 7*j(u) + 5*l(u)?\nAnswer: -2*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31747, 33107, 35377, 38557, 42647?\nAnswer: 47647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 2*h + 12. Let s be t(-5). Let z = 103\/2 - s. Factor -3\/2*f**3 + 0*f**2 + 3 + z*f.\nAnswer: -3*(f - 2)*(f + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1405 - -1405.195. What is the third smallest value in 3\/5, o, -1\/9?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/7, 0, 0.04, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -21. Let a = w - 5. Suppose 3*u + d + 59 = 7*u, -3*u - 2*d + 58 = a. Is u a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by -40.\nAnswer: 19\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (1 - (-4 - -3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12099 and 1656873357?\nAnswer: 12099","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-75)\/150*((-72)\/52)\/(-6).\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5133 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -452 - -457. Solve -4*x + 3 = -n for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 282448 by -139.\nAnswer: -2032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vdhv. What is prob of picking 2 v and 1 d?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*w - 53 = 0, -5*j + 105 = 213*w - 208*w. Solve 0 = j*p - 38*p + 57 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 115*y - 110*y. Suppose 15 = 4*g - 17. Sort -4, g, y.\nAnswer: -4, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 7:02 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 29951664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**4 - m**3 + 5*m - 1. Let f(b) = 11346*b**4 + 8*b**3 - 936*b**2 - 40*b + 8. Let i(g) = -f(g) - 8*l(g). What is the third derivative of i(k) wrt k?\nAnswer: -272496*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4069 is divided by 1907?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010110001 - -1101?\nAnswer: -10010100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1335854*v**3 + 962694 wrt v?\nAnswer: -4007562*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = c - 3. What is the units digit of c*(-3 + 6)\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - m = m + 144, 2*y - m = 58. Calculate the remainder when y is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -1, 0, 2601, 2, -3, 15.\nAnswer: -15, -3, -1, 0, 2, 15, 2601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h - 21*h - 4522 = -3*z, -2*z + 5*h = -3023. Suppose -7*b + 769 = -z. Is 26 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 435270041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 106, 99, 88, 73, 54?\n\"Answer: -2*v**2 - v + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3)\/(y\/(((y*y*y**(2\/5)*y)\/y)\/y))*y**(1\/5)\/(y\/y**(-2\/21)))**(-1\/19) assuming y is positive.\nAnswer: y**(367\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -5, -4.5, 0, 0.37?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 7*r + 77. Let j be 291\/(-27) + 4\/(-18). Let c be u(j). Solve -5*s + c*s = 25 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*c + 6*c. Suppose 2*t - 270 = -c*b - 112, 0 = -3*t - 15. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83*1*(-8 - -9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 78*b + 498. What is the remainder when 418 is divided by o(-6)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 d when two letters picked without replacement from lkoddllrfooddo.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 955978430 to the power of 1\/4, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 7*v**3 + 7*v - 3. Let o(u) = -3*u**3 - 3*u + 1. Calculate 2*j(i) + 5*o(i).\nAnswer: -i**3 - i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 3 - 9. Suppose -2*l = n + 2. List the prime factors of 12 + 0 + l + 2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 33418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11200 is divided by 286.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -10620 to the nearest one hundred.\nAnswer: -10600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3.1 (b) 180 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 210 and 93155160?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 2, z: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3978 is divided by 992.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (6 - (-2 + 5)) - 2) + -34 + 93?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 - -20. What are the prime factors of (1 - 2 - p) + 39?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*f + 2*q, -3*f - 2*f = -2*q - 13. Let p be 1\/(5 - (f - 0)). Let m = 96 + -96. Which is the third biggest value? (a) -3 (b) p (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 j when three letters picked without replacement from {m: 6, j: 7, a: 4}?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4298 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*n**2 + 2 - 4 - 27*n**2 - 128*n**3 + 192*n**2 wrt n?\nAnswer: -768","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 920741656 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -66 - -66 - (-5 + -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 54788603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 10 = -a, 25 = 256*f - 255*f - 4*a. Let v = -1 - -3. Let y(r) = 2*r + r**3 - 8*r**v + 3*r**2 - 6 + 0. Calculate y(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 7.9.\nAnswer: 15.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 11 - (2 - (-7 + -1 - (-143 - 19)))\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4*v + 564 = 0, 0*y - 5*y + 1401 = -v. Does 28 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 4:59 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/9)*u**(-1\/22)\/u)**(17\/5) assuming u is positive.\nAnswer: u**(-2771\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qsq when three letters picked without replacement from {s: 1, q: 2, b: 4}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z + 5. Let p be q(-2). What is the third smallest value in -2\/31, -5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 6 = 2 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1254*g = 1260*g - 18 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of x**5\/10 - x**4\/12 - x**3\/3 - x**2\/2 + 65*x. Suppose 7*w - 3*w = -4. Give b(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008478971 to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 7:28 AM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b + a18?\nAnswer: 9b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(0*b + b - 3*b) + 19*b - 8 + 8.\nAnswer: 21*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 23, -143, -413, -781, -1241, -1787?\n\"Answer: p**3 - 58*p**2 + p + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/13)\/(i**(1\/8)\/i))**(-2\/11) assuming i is positive.\nAnswer: i**(-75\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*k**4 - 8*k**4 + 3*k**2 - k**4 wrt k.\nAnswer: 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/16432608 and 127\/3081114.\nAnswer: 49297824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -42951 - -74908. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 140*b**2 - 3700\/3*b - 5\/3*b**3.\nAnswer: -5*b*(b + 10)*(b + 74)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20885.619 - -165308.\nAnswer: 144422.381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1404 or -616?\nAnswer: -616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 236 and 14?\nAnswer: 1652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -c**8\/56 - 2*c**6\/5 - 8*c**5\/5 + 4337*c**4\/12 - 1847*c. Find the third derivative of r(u) wrt u.\nAnswer: -120*u**3 - 288*u - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**3 + 0*d**3 - d**3)*(961*d**2 + 81*d - 81*d).\nAnswer: -2883*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 15 = 0, 0 = -4*t - 29*i + 27*i + 6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 3 + 160*n**2 + 7.\nAnswer: 160*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1061280 to the power of 1\/2, to the nearest integer?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -143 - -143.22306. What is p rounded to three decimal places?\nAnswer: 0.223","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n + 31. Suppose 0 = -j - 6, 72 = -35*x + 41*x - 3*j. Give z(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a century?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of n**8\/84 + 2*n**7\/15 - 11*n**6\/30 - 19*n**5\/15 + 19*n**4\/3 - 32*n**3\/3 + n**2 + 16*n + 98. Solve z(c) = 0.\nAnswer: -8, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -262799195 divided by 1612265?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pmmpmmppmxmxpxxepx. Give prob of picking 1 x and 1 m.\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.4 and 32?\nAnswer: 140.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 24\/31?\nAnswer: 24\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4834.71 milligrams in nanograms?\nAnswer: 4834710000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of 28*a**5\/5 - a**4\/12 - 5*a**3\/2 + 2*a + 271. What is the second derivative of j(u) wrt u?\nAnswer: 672*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, x: 13, e: 3}. Give prob of sequence ix.\nAnswer: 13\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1831*b + 3897*b + 367*b + 2 to w*b + r and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w - 1 + 1. Suppose -24*r = -19*r - 10. Let p(d) = -28 + 56 + 5*d**r - 28. Determine z(p(u)).\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76732, 76639, 76546, 76453, 76360, 76267?\nAnswer: 76174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26.885 + 0.115. Let p = 26 - z. Which is greater: -5.3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -13. Solve j + 3*j = d for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-16))\/(11 - 469\/42). What is the second biggest value in q, -16, -0.5, 2\/9, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from swmrcqs. What is prob of sequence qm?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -1.9. Let l = 18 - 13. What is the nearest to z in -1\/3, l, -1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2105 + 2230?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.77593 to 3 dps.\nAnswer: -0.776","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.06 + -1. Let s = -0.06 + r. Let a = s + -5.7. Put a, -0.3, -2 in decreasing order.\nAnswer: a, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15 - 24*x + 25*x + 1 + 32 - 151*x**5 wrt x.\nAnswer: -3020*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -15, 4, 5, 6.\nAnswer: -15, -3, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6674, 3, 1, 2, 4 in decreasing order.\nAnswer: 4, 3, 2, 1, 0, -6674","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i - 2. Let w be j(-4). Factor -17*u**2 + 4*u**2 + 21*u + w*u**2 + u**2 - 9.\nAnswer: -3*(u - 3)*(2*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -7*z - 33 + 6 - 39*z - 2*z. Let d(m) = 7*m + 4. Calculate -4*b(p) - 27*d(p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 10, o: 4}. Give prob of sequence mo.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8596130.\nAnswer: 2, 5, 43, 19991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 600 and 24.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 425 + -194. Calculate the highest common factor of y and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) 2\/9 (c) -56 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1189.\nAnswer: 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-104734)\/28)\/((-3)\/2 - -1). What is y rounded to the nearest one hundred?\nAnswer: 7500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -23*m**2. Suppose -2*d + 121 = 5*j, d = 4*d - 4*j - 193. Let l(c) = 62*c + d*c + 60*c - 181*c. Calculate f(l(p)).\nAnswer: -368*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4711, 9489, 14375, 19363, 24447, 29621, 34879?\n\"Answer: -l**3 + 60*l**2 + 4605*l + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 5*o - 166, 0 = 4*y - 2*o + 221 - 863. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(28)\/sqrt(4) + 2)**2 + 4 + (sqrt(7) - sqrt(28)\/sqrt(4)*6 - (sqrt(1008) - (sqrt(1008) + -2 - sqrt(1008))))**2.\nAnswer: 78*sqrt(7) + 2063","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 49607665.\nAnswer: 545684315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-8) - 135\/(-24)*-6. Let k = -32 - d. Suppose -6*v + k*v = -348. List the prime factors of v.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -14171, -28260, -42329, -56378, -70407, -84416?\n\"Answer: 10*z**2 - 14119*z - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32992881 to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4333511792 minus -0.19?\nAnswer: -1.2433511792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 78, -2, -5 in descending order.\nAnswer: 78, -2\/9, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 329*t - 108 wrt t?\nAnswer: 329","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i**(24\/11)\/i)\/i*i)\/i**(-9\/4) assuming i is positive.\nAnswer: i**(195\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jig when three letters picked without replacement from {g: 1, i: 2, v: 3, j: 6, q: 4}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 39*p + 24. Let z(g) = -24*g - 13. Let b(r) = -5*a(r) - 9*z(r). Let u(d) = -d. Determine -b(m) - 15*u(m).\nAnswer: -6*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 13*t - 61. Let x be f(5). Put -3, x, -2 in descending order.\nAnswer: x, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 79\/49 - 1283\/735. Let k be (0\/4)\/(2\/2). Suppose -5*g + 15 = 0, k = h + 3*g + g - 8. What is the nearest to -0.1 in v, h, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n**2 - 8*n - 20 + 20. Let u(d) = d**2 - 3*d. Give 8*u(h) - 3*v(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -762575*h**2 - 4224904?\nAnswer: -1525150*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q + 3*q - 3*q + (-1 - 4 + 1)*(0 + 2*q + 0))*(-2*q + q - 3*q) to s + n*q**2 + i*q and give n.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 9*a - 8. Let x be p(8). Solve 5*g + 7 + 19 = -4*o, x = o + 3*g + 10 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-255)\/96*28\/(-3). Let z = m - 175\/6. What is the common denominator of z and -17\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 6*a**2 - 4*a - 1. Let h be b(-5). Which is smaller: -7 or h?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1212204030 (base 5) to base 7.\nAnswer: -33141353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 - 12. Suppose a*b - 327 = 3*b. Does 29 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 7.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 190 + 987b3b?\nAnswer: 98810b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30 - 30 + 459*r**2 to m*r**2 + h + x*r and give m.\nAnswer: 459","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -17, 0, 1\/7, -3\/5, 1\/39?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 23 = 5. Let s be 502\/(b\/2 + -3). Suppose -3*n - n = -s. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 71*z**2 - 72*z + 2. What is u(-72)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.32? (a) 0.5 (b) 2 (c) 3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 126 - 135 = 5*j, 3*j + 15 - 6 = 0 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267986591?\nAnswer: 6983, 38377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 5. Let d = x - -1. Suppose 4*f - 3*w - 14 = 0, 3*w = 5*f + w - 21. Solve f*a + d + 4 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + h**3 + 0)*(-2*h - 4*h + 5*h) + 6*h**3 - 261*h**4 + 244*h**4 - h**3.\nAnswer: -18*h**4 + 5*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 16802 and 16808 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (((-48)\/(-20))\/3)\/(2\/5). Suppose 21 = 5*y - a*y. What is the least common multiple of y and ((-7)\/2 - 1)*-2?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 111295 + -35892.\nAnswer: 75403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (-1 + 4) - (1 + -2). Suppose -15*x + 17*x - 150 = v. Is x a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of 5*h**7\/7 - 5*h**4 - 37*h**3\/3 - 3*h**2\/2 + 137. Find the third derivative of m(i) wrt i.\nAnswer: 600*i**3 - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from ububbbuuubbuub.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121 is divided by 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - 0) + -8 - -7. Suppose -1 = -3*b + 2*b. Calculate the highest common factor of b and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -5*w - 160, -31*g - 397 - 630 = -27*g + 29*w for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, s: 11, m: 4}. What is prob of picking 3 s?\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 479, 0, -2, -234, 1 in decreasing order.\nAnswer: 479, 1, 0, -2, -234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -12304465 (base 8) in base 5?\nAnswer: -1144101401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(3969) - sqrt(3969))\/(sqrt(70)\/(sqrt(10)*1)) - (-1 + (sqrt(700) + -1)*-4))**2.\nAnswer: -294*sqrt(7) + 16816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 33*b + 336. Let z be v(12). What is the greatest common divisor of 189 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 46*c**2 - 538*c - 674. Calculate r(13).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(-2*sqrt(190) - sqrt(190)) - sqrt(190)) + -1*2*sqrt(190) + sqrt(190))\/(4*(sqrt(20)\/sqrt(2) - sqrt(10)) + (1*sqrt(110))\/sqrt(11)).\nAnswer: -20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 438*f - 863 = 33301 for f.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-2))**41)**24)**(-1\/53) assuming o is positive.\nAnswer: o**(1968\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101110110111011001 (base 2) to base 8.\nAnswer: -566731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41408707 to the nearest integer?\nAnswer: 6435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.8 + -9. Let m = -80.95 + -1.05. Let d = -81.6 - m. Which is the nearest to -1\/5? (a) d (b) n (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -1, 0 = 5*c - 3*c + 3*b - 59. Which is greater: c or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 510237.\nAnswer: 3, 7, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2138533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2398329?\nAnswer: 3, 29, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*c**3*r + 6*c**3 + 40*c**2 + 3*c*r wrt r.\nAnswer: 11*c**3 + 3*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -47 less than or equal to -765\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-10)*8\/((-144)\/90)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 2056.625 micrograms?\nAnswer: 0.000002056625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -101*f - 9232. Determine o(-91).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -546, -539, -512, -453, -350, -191?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + 457519823279.\nAnswer: 457519823278.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 - 23 - 32*q + 33*q + q**3 + 111*q**2 in the form y*q**2 + w*q + n + m*q**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g + 2. Suppose s = -0 + 2. List the prime factors of y(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -15. Let y = q - 6. Which is smaller: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-26 + 17 + 18 - o)*(3 + 1 - 3)*((2*o - 3*o + 0*o)*(3 - 3 + 2) + 2*o - 6*o + 0*o + 0 + 0 - 2*o) to the form j*o**2 + r + b*o and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (30\/25)\/((-3)\/10). Let g(s) = -2*s - 4. Calculate the remainder when g(r) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 11 = 2569*k - 2568*k, -4*f = 5*k - 58 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + (2 - 734\/146). Let x = 79\/219 + f. Find r, given that -1\/3*r**2 + 0 + 1\/3*r**4 + 1\/3*r - x*r**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 5. Suppose -5*r = -16 - m. Suppose 0 = 5*i - 26*q + 30*q - 21, -4*i + 3*q = 8. Put i, r, -2 in descending order.\nAnswer: r, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3735\/(-25))\/(-9) - (-2)\/5. Let l(r) = 5*r**2 + 5*r - r**3 - p*r + 11*r - 97 + 95. Suppose 4*f = 5*g - 40, 5*f + 10 = -4*g + 1. What is l(g)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/53070 and -77\/976?\nAnswer: 424560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 5, 1 in increasing order.\nAnswer: -22, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 112896810 + 5033*s + 4226*s**2 - 112896810 wrt s?\nAnswer: 8452","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -63635\/102 - 775\/34. Suppose 0*k - 3270 = 5*k. Let q = i - k. Find the common denominator of 45\/4 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*q - 5*z + 25 = 198*q, -2*q + 10 = -4*z for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 17*d + 75. Let n be g(10). Suppose 28*x = 23*x + 5*f + 15, -x + 33 = n*f. Solve 0 = -4*p - x for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 299, -2 in decreasing order.\nAnswer: 299, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 484 a factor of 35558038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 512717930?\nAnswer: 2, 5, 4283, 11971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + 4*q + 2*q)*(-930*q + 13 - 925*q + 1894*q)*(-4 + 3 + 2).\nAnswer: 78*q**2 + 26*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 424 and 742.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7611.785 millilitres to litres.\nAnswer: 7.611785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*d = 19*d + 482. Let m = d - 238. Solve -x + 2 = -k + 3*x, m*k + 3*x = 9 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200*q**2 + 388*q + 24 = 0. What is q?\nAnswer: -3\/50, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q + 10*q + 11*q + 23 + 32*q)*(2 + 1 - 5).\nAnswer: -96*q - 46","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23009018*n**2*r**2 + n**2*r + 923*n*r**2 + 24*n*r - 2*r**2 + 2*r + 8 wrt n.\nAnswer: 46018036*r**2 + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 58361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -w. Let k be 0\/2 - (-2 + w). Let n(v) = v**3 + 2*v**2. Let y be n(-1). Is k equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03165 times 1.275\nAnswer: -0.04035375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*g - 3783 = -3867 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 443.693 - 0.693. Let g = r - 199. Let m = g + -243.999682. What is m rounded to 5 dps?\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c - 14*c - v + 1 = 0, -8 = -2*v for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.12 + 0.12. Let h = 248 - 1231\/5. Let y = h - 13\/10. Which is the smallest value? (a) r (b) -1\/4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33084081?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 47*x**2 - 20*x**2 + 102 - 30*x**2 - 63*x. Let n(j) = j**2 + 25*j - 41. Let w(r) = -5*a(r) - 12*n(r). Factor w(s).\nAnswer: 3*(s - 1)*(s + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 - -16.918787786.\nAnswer: -29.081212214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 98821.07 millennia?\nAnswer: 98821070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/3 + (1\/(-6) - -1)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*61*(-2)\/164. Let s = f + -6680\/123. Let v = 52 + s. What is the nearest to 0.1 in 2\/17, 4, v?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 y when four letters picked without replacement from yyakakykkaaak.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -2*o**3\/3 + 19*o**2\/2 + 14*o + 11. Let v be j(10). Solve -2*i - 7 = -a, v*i - i = -5*a - 30 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -321 + 4491\/14. Let v be (-1)\/(-4) - (-15 - -5). Let y = v + -19\/2. Put c, 2\/7, y in decreasing order.\nAnswer: y, 2\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.5 - 0.5. Let w = h - 5. Put 5, w, 0.4 in ascending order.\nAnswer: w, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6124\/7 - 877. Let r(a) = -a**2 + 26*a. Let f be r(26). What is the second smallest value in f, 5, i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1375 - 81127\/59. Let d be 42\/(-70) + 902\/4720. Let h = l - d. What is the common denominator of -40\/11 and h?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 141*z - 1 + 44*z + 55*z to the form i*z + s and give i.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-203)\/232*-32.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of z**3 - z - 1. Let w be c(-1). Suppose w*n - d = 5, -7*d + 3*d - 12 = 0. Solve -3*r + x = -4, -x = 4*r - n - 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3 - -12) + 0)*3\/(-1)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + h = 5*j + 2, -4*h + 16 = -4*j. Let l be (-2)\/(-8) - (-275)\/20. Suppose -2 = 2*i, -h*k + 5*i + l = -0*k. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-12) + (-26)\/(-6). Let u = 7 - 3. Differentiate -3*y**n + y**u + 2 + 0 with respect to y.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1022, -3295, -7084, -12389, -19210?\nAnswer: -27547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1664\/(-19072)*(2\/(-5) - 14\/15) and -61\/3.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1630.5 + 1631. What is the smallest value in u, 1\/9, 2\/7?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.4 + 0.6. Let x = -7 + s. What is the smallest value in x, -5, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**2 - 2. Let l = 1 - -14. Let c be 1\/(0 - (-3)\/l). Let o(q) = 2*q**2 + 1. Let r(z) = c*h(z) + 6*o(z). What is the first derivative of r(m) wrt m?\nAnswer: 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7019746?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**2 - 3*z**2 - 3*z**2)*(z + 2 - 2).\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 6*c + 0*c + (c - c - 5*c)*(-1 + 0 - 1) + (-2*c + 0 + 0)*(-2 + 3 + 1) - 2*c + 5*c - 2*c)*((-c - 2 + 2)*(5*c - 5*c - c**3) - c**4 + 3*c**4 - c**4).\nAnswer: 24*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3303108631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/(-5)*(-2310)\/(-280)*5\/55*2\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 k when four letters picked without replacement from {v: 9, k: 7}?\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 2.099533.\nAnswer: 8.398132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2488719?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 42?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 168 - 164. Suppose j + 0 - 90 = v, -l*v = -j + 96. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*c**2 - 106*c**3 + 1 + 104*c**3 - 47*c**4 - 1 in the form u*c**3 + o*c**4 + s*c**2 + w*c + z and give o.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -3*h**3\/2 - h**2\/2 + h + 2. Let s(l) be the first derivative of c(l). Does 4 divide s(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -91.45 - -91.05. Put -2, i, -9, 0.5, 4 in ascending order.\nAnswer: -9, -2, i, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1368223\/31 - 44140. Are u and -4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5399589 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1658524904.\nAnswer: 2, 199, 1041787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -1, -2.6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**5\/2 + 3*m**4\/2 - 3*m**3\/2 + m**2\/2 = 0. Calculate m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qlzlllq. What is prob of picking 2 q?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 344775969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(((-232)\/(-6))\/29)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 848734 divided by 113.\nAnswer: 848734\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 11*x = 189. Suppose -x = -3*v - 3*g, 0 = 2*v - v + 2*g - 24. Find the third derivative of -32*j**5 + v*j**5 + 2*j**2 + 27*j**5 wrt j.\nAnswer: 780*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c*c**(-25)*(((c*c\/c**(3\/16))\/c)\/c*c)\/c*c*(c*c\/(c*c**(-10))*c)**(2\/13) assuming c is positive.\nAnswer: c**(-4231\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 72608.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*s = -143 - 1075, 0 = -5*d + 3*s - 6125. Let n = 1739 + d. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33*g**2 + 28*g + 0*g + 4*g**3 - 2*g**3 + 9*g**2 - 20 + 14*g.\nAnswer: 2*(g - 10)*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*p - 52 + 73 + 3*p - 26 - 47 to the form j + n*p and give n.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 79 + 1799. Let n = g - 959. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 + -2 - (-1 - 0). Let j(v) = 4 + 1 - 4*v - p. Determine j(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aspbsscsbcbcssbbsps. What is prob of sequence csp?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 890*m = 886*m, -19 = 5*w + m for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (12\/(-1170))\/(7 + (-57)\/9) and 19\/20?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/2026 and -36\/119.\nAnswer: 241094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-6)\/(c\/(c*c**(-3\/2))))\/(c\/((c**(-1\/6)*c)\/c))**(-5\/22) assuming c is positive.\nAnswer: c**(-955\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-115 - 1)*(-88884)\/216?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + sqrt(272) + ((sqrt(272) + -1 + sqrt(272) - sqrt(272)) + sqrt(272) - sqrt(272)))**2*-4 - (-2*sqrt(833) + -1*sqrt(102)\/sqrt(6))*4.\nAnswer: -452*sqrt(17) + 17472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a century in years?\nAnswer: 3050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -5. Let x(n) be the first derivative of -2\/5*n**5 + 0*n + 1 + 0*n**i + 0*n**4 + 2*n**2. Find the second derivative of x(l) wrt l.\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002028550983 rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163586842?\nAnswer: 2, 37, 2210633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 c when two letters picked without replacement from {c: 3, f: 4, o: 5}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 103373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2*g**3\/7 + 6532*g**2\/7 - 876170*g\/7 - 126100 = 0.\nAnswer: -3395, -1, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11850*n + 7189*n - 1789666 for n.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/2 and 125\/9044.\nAnswer: 9044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 413659, 413634, 413607, 413578, 413547, 413514?\nAnswer: 413479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18564 is divided by 530?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*2*-6)\/(-5*sqrt(36)\/sqrt(4)).\nAnswer: 12*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 10:54 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 13*h**2 - 3*h + 4. Let u(m) = m**2. What is w(u(t))?\nAnswer: 13*t**4 - 3*t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21201574528.959973 + 21200666892.57. Let f = x + 907636. Let t = f - -0.39. Round t to 6 dps.\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 1837.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((2*(sqrt(704) + -4) + 5)*3 + 0)**2.\nAnswer: -3456*sqrt(11) + 101700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 240 + -79. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/4 - 63\/36. Let m be (0 - b) + (54 - -2). Let f = m - 40. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -312*t**3*u**2 - t**3 + 2*t**2*u**2 - 300*u**2 wrt t.\nAnswer: -1872*u**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 13. Let s = g - -30. Suppose -2*w + s = w + y, -28 = -4*w - 2*y. Solve -h = h - w for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1745 and 366799?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22573857\/8 + -2827573. Let n = 5830 + h. Calculate the common denominator of -57\/14 and n.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*p + 962*p**2 + 31*p - 42*p to the form a*p + v*p**2 + w and give v.\nAnswer: 962","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54015028.\nAnswer: 2, 13503757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/4)\/(8\/(-16)). Let x be (7 - 8)\/(y*-1). Let c be ((2 - 1)*x)\/8. Which is greater: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30*x**4 - x + 129*x**4 - 74*x**4 + (-1 + 0 + 3)*(-2*x**4 - 2*x**4 + 5*x**4) - 1 - x**4 + 1 + x**4 - 6*x**4 + 0*x**4 + 0*x**2 + 0*x**2 + x**4.\nAnswer: 22*x**4 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20.8 - -19.85. Let b = 0.94 + u. Sort -5, b, 0.2.\nAnswer: -5, b, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2)*(x**2 - x**2 + x**2)*(0 + 1 + 1).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of v**5\/60 - v**4\/8 + 2*v**3\/3 - v**2. Is 16 a factor of k(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-5))\/((-2)\/100). Suppose -4*t + 5*n = 167, 4*t + 3*n + 69 + 74 = 0. Let g = t - l. Calculate the greatest common divisor of g and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 244 divide 72239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -155*o**3 - 2*o**2 + o - 3. Let q(l) = 310*l**3 + 5*l**2 - 2*l + 7. Determine 5*g(d) + 2*q(d).\nAnswer: -155*d**3 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -34737140 rounded to the nearest 1000000?\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -8*o**2 + 48*o - 13. Determine v(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5331223 - 2?\nAnswer: 5331221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14*a**2 - 160*a**2 - 58*a**2 + (-3*a + 0*a + a)*(-a - a + 0*a))*(4*a + a - 4*a) to o*a + h*a**2 + b + d*a**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-5)\/4)*((-45)\/(-12))\/3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 468, 0.15, -0.3, -2, -1\/2 in descending order.\nAnswer: 468, 26, 0.15, -0.3, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3*q - 7 = 0, 49 = -2*o - 5*q + 70. Let t(v) = -2*v + 0*v - 2*v**2 - 1 - 2*v**2. What is t(o)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -20. Suppose -4*m - 10 = -p, 0 = -2*p - p - 2*m - q. Sort 0.5, p, -5 in decreasing order.\nAnswer: 0.5, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)*-4 + sqrt(3564)*-2)\/((-1*sqrt(384)\/sqrt(8))\/sqrt(12)).\nAnswer: 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t - 19 + 22 = 4*s + 2 + 31, -41 = t + 3*s for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1274 - 1095 = 112*t - 344 - 2725 for t.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -72994596*o*p + 5067629*p + 4 wrt o.\nAnswer: -72994596*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 86?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6480 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3093 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 3*p - 6. Solve w - 4 = 0, -4 = -p*i - 4*w + w for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.163322 in -3, -1\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 3, -5, 1800, -2, 2 in descending order.\nAnswer: 1800, 4, 3, 2, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -20 - (16 - -12)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n - 3. Let p be y(2). Let m(s) = s - 8. Let t be m(7). Put t, p, 0 in descending order.\nAnswer: p, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 278 - 258. Let a(n) = -5*n - 3. Calculate the least common multiple of a(-3) and t.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49 + 78. Suppose -u*y + 24 = -31*y. Let t be -4*2\/(-1)*(-3)\/y. Solve -t*n + 12 = -5*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -3*a - 3350 + 3348, -3*p - 5*a = 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -37521 and 60?\nAnswer: 37581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-1680)\/(-21))*10\/4\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8940420.5 rounded to the nearest one hundred thousand?\nAnswer: -8900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(5\/3))\/l**(-2\/11)*l**(1\/5)*l\/l**10 assuming l is positive.\nAnswer: l**(-982\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 - -53. Let o(d) = 2*d + 7*d - t*d. Let y(r) = 14*r + 8. Let a(i) = i + 1. Let n(j) = -40*a(j) + 5*y(j). Calculate n(o(h)).\nAnswer: 30*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 11:54 PM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.69 - 2.722. Which is smaller: r or 0.04?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -20. Is 32 a factor of l\/(-9) + (-573)\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1109430384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4641 - -4661. Let a = 30 - -56. Calculate the remainder when a is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -50*a - 526. Calculate g(-12).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13)*-1 + 1)**2 - sqrt(13)) + (2*(sqrt(13) + sqrt(13) + 0))**2.\nAnswer: -3*sqrt(13) + 222","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 37 - 16 - 7 + 69*r - 65*r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.364 + -249.636. Let a = -250.000105 - k. What is a rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-19 + -64 - -33) + 36\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.2 - 3.8. Let r = 4 + n. Let o = 5.2 - 5. Which is the nearest to r? (a) 4 (b) o (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + d**2 + d + 27. Suppose 0 = 2*p - x + 5, -3*p + 25 = x + 4*x. Is u(p) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 17247651 and 17247650 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/s**(2\/17)*s)\/s*s**(-1))**(-13) assuming s is positive.\nAnswer: s**(-195\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -1, 3, 0, 6 in decreasing order.\nAnswer: 6, 3, 0, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/9? (a) -120 (b) 5 (c) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -16957435 - 0.08\nAnswer: -16957435.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b - 206 + 170 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -85, -3.\nAnswer: -85, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -340661, -681267, -1021873?\nAnswer: -1362479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -57 (b) -18.3 (c) 0.2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 81*p**2 + 3. Let z be d(81). Suppose -1\/10*x**z - 3\/10*x**2 + 1\/10*x + 3\/10 = 0. Calculate x.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, -2\/3, 49, -0.1 in ascending order.\nAnswer: -2\/3, -0.1, 1\/9, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 162, 453, 984, 1749, 2742?\nAnswer: 3957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 6) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/7 - 108*l\/7 + 2774\/7.\nAnswer: -2*(l - 19)*(l + 73)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-40)*-4)\/((-9)\/(-90))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 87 and 17893.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 1:58 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*-1*(-12 - -9). Suppose 4*h = q*h. Suppose h = -j - 2*j. Solve 4*w - 12 = -j*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + x + 1. Let f(a) = -a**3 + 4*a**2 - 4*a - 8. Let q(n) = -f(n) - 3*v(n). Calculate q(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 105352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28083284*c - 11173401 with respect to c.\nAnswer: 28083284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 1:31 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186*f - 69849 - 3177351 = 146*f. What is f rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 8:53 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -7*m**2 + 11*m + 6. Let g be r(-7). Is 1\/5 + g\/(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40 + 90. Suppose -3*j + 22 = 2*p - 6, -4*j - 2*p = -40. Suppose -j*i + i = -297. What is the remainder when s is divided by i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 + -1)*-2*4\/(-48). Let a(f) be the first derivative of 0*f**3 + 2\/5*f**5 + 0*f**4 + 0*f + 4 + z*f**2. What is the second derivative of a(y) wrt y?\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 445560 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*m = 30 + 10. Which is the closest to m? (a) 79 (b) -1\/4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68969*s - 2 + 2 - 228302*s.\nAnswer: -159333*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*i + n, 3*i = -27*n + 29*n + 23. Solve 0 = i*u - 5*y, 2*u - 6*y + 4 = -8*y for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*u**2 + 12*u**2 - 5*u**2 to the form z*u + h*u**2 + x and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9\/(-2))\/((-9)\/(-12)). Let t(p) = -p**2 + 4*p + 8. Let l(v) = -4*v**2 + 11*v + 24. Let a(z) = 2*l(z) - 7*t(z). Give a(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 7*b - 98*f + 297 = -b + 1684, 3*f + 6 + 27 = 3*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uxr when three letters picked without replacement from rrrrururuxrrur?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -68935 times -0.1?\nAnswer: 6893.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 307152 and 2316?\nAnswer: 59280336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5847 = 34*l - 30*l + 5*t, -2*l - t + 2925 = 0. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/12 and 149\/180?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - l - 11 = 3, 135764*l + 22 = 5*s + 135762*l for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 67*y**2 - 3. Let g(j) = 69*j**2 - 4. Determine 4*g(n) - 6*x(n).\nAnswer: -126*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 447, 1081, 1969, 3111, 4507, 6157?\nAnswer: 8061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -7325 and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -3220 less than or equal to -22536\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 15*d + 1. Let x(l) = 728*l + 136. Let w(p) = -x(p) + 48*z(p). Calculate w(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61921 is divided by 113.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.37, -19, 3\/7, 0.4 in increasing order.\nAnswer: -19, -1.37, 0.4, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 352239429.\nAnswer: 3, 117413143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j + 10. Let h be o(-5). Let m be (-166)\/(-2) + (-3 - h). Let l = m + -36. Is 11 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5169*d - 5240*d**4 + 5169*d - 6271*d**2 wrt d?\nAnswer: -125760*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 16 + 22 = -4*a - 3*m + 41, 3*a + 4*m = 19 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49028 is divided by 16335.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k - 7. Let f be x(-30). Suppose -f = -3*u - 4*a, -5*u + 20 = 4*a - a. What is the greatest common divisor of 4 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c = 18*c - 16. What are the prime factors of 275 + c\/(-6)*3?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1418310742?\nAnswer: 2, 709155371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + r + 3*r)*(2 + 0 - 1) - r - 6*r - 3*r - 8*r + 5 - 5 - 4*r + 2*r + r + (-2 + r + 2)*(5 - 5 - 2) - 2*r - 4 + 4.\nAnswer: -20*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -8892 divided by 39?\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21.52 - 0.52. Let t = v + -43. Let q = -12.9 - t. Round q to 0 decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6863472 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**3 + 16*n**2 + 26*n - 311. Calculate y(5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2a8228d + -c?\nAnswer: -2a8229b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 106, 3, 75 in decreasing order.\nAnswer: 106, 75, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z + 2. Let b be a(-3). Let c be 4\/(-6) - 17\/(-3). Suppose 2*o - 6*o = -4. Put c, b, o in increasing order.\nAnswer: b, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 116*i**4 + 20408*i**3 + 677076*i**2 - 745808*i + 48208 = 0.\nAnswer: -131, -46, 2\/29, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hfi when three letters picked without replacement from {p: 3, h: 4, i: 1, l: 2, f: 1}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 376*g**2*n**2*z - 2*g**2*n + 5*g**2*z - g**2 - g*z wrt n?\nAnswer: 752*g**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/11 + 994*l\/11 - 992\/11.\nAnswer: -2*(l - 496)*(l - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1978?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.48 + -2.48. Let h = 0.1 - 0.2. Which is the nearest to 1? (a) h (b) z (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 121775?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 + -43 + -58 + 30.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.5915 * -0.4.\nAnswer: -2.2366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -z + 6*z - 200, -102 = -3*j + 3*z. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 749093?\nAnswer: -749098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 528 - 528 - 22*o.\nAnswer: -22*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**(-3\/8)*(r*r\/(r*(r*r**(-5)*r)\/r))\/r*r*r**(-3\/2)*(r**(-3\/4)\/r)\/r assuming r is positive.\nAnswer: r**(17\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5\/3, -0.095, -15, 0.18, -5, -3?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 279510 to the power of 1\/2, to the nearest integer?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -361 minus 0.292?\nAnswer: -361.292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 2681?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.038 * 116821.\nAnswer: 4439.198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2955 + -2950. Solve 0*r + 3*r - 6 = 3*u, 0 = -h*r - 5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/5)\/(7\/35). Suppose c*r + 24 = 2*l + 7*r, -5*l = -5*r + 15. Suppose -j - k + l = 0, k - 1 = j - 7. Solve -4*g + 6 = -2*i + 2, -i = -j for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 1 = c - 5*c, 0 = -2*c + 2*v + 2 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.658 + -4.258. Let m be 0\/(3 - (4 - 4)). Let v = -1 + 0.5. Which is the smallest value? (a) u (b) -1 (c) v (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiqqizqiiaiqaqii. Give prob of picking 1 q and 1 z.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -2. Let j = 5 - 12. Let h = g - j. Solve 4*v = h*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2104 and 2630?\nAnswer: 10520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 39*w - 248. Let h = -344 + 318. What is the thousands digit of x(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m - 11. Let i(h) = h - 6. What is 11*i(o) - 6*p(o)?\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s + 1. Let p(f) = -2*f - 1. Calculate 6*j(d) + 7*p(d).\nAnswer: -8*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -55*o**3 - 455*o**2 - 820*o - 420.\nAnswer: -5*(o + 1)*(o + 6)*(11*o + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 + 40407192*n + 408185291331216.\nAnswer: (n + 20203596)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 753?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16536 + 11707*j + 8227 + 8309 + 7390*j**2 wrt j?\nAnswer: 14780","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21460, -42885, -64314, -85753, -107208, -128685, -150190?\nAnswer: -171729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a day in minutes?\nAnswer: 1584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 17*k**3 + 10*k**3 - 5*k**2 - 18*k**3 - 23 + 7*k + k**2. What is the units digit of a(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2191275.\nAnswer: 3, 5, 9739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38 and 1026.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 244 and 976.\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*y**2 + 3*y - 2 + 0 - 5*y**3 - 36*y**2 in the form i*y**3 + r*y + n*y**2 + t and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (40\/(-3))\/4*-3. Let s = -10 + n. What is the second derivative of s*c**2 - c + c**2 - 4*c wrt c?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h - 83 + 45 + 38.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 3*h + 9 = 0, -3*j - h + 3*h = 1. Let k(l) = l + 6. Let f be k(0). Let a = f - j. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b (base 16) to base 11.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4105450, -4105433, -4105416, -4105399?\n\"Answer: 17*x - 4105467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/4512 and -17\/1974.\nAnswer: 31584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22 in 2, 0.11673, 3\/7, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5 = 9. Let d = -1 + n. Solve 0 = m + m - d for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/608 and 7\/297312.\nAnswer: 297312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 + 8\/2 + 4. Solve 0 = -3*d + 7*d - o for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 - 108 = -2*j - 5*r, -5*r = 30. What is the greatest common factor of 5406 and j?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24212 - 1016951\/42. What is the common denominator of -3\/56 and g?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1582 or 791?\nAnswer: 791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -120111313 + 13?\nAnswer: -120111300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c420 (base 15) in base 7?\nAnswer: -1132656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - (-4*sqrt(102) + sqrt(102) + sqrt(102)))*4)\/((sqrt(540)\/sqrt(10))\/sqrt(9)).\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.2 + 1.2. Suppose v - 8 = 5*f - 9*f, -9 = -3*f. Sort 1\/9, 0.4, b, v.\nAnswer: b, v, 1\/9, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 399171, 399212, 399253, 399294, 399335, 399376?\nAnswer: 399417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 13 + 3 + 17 + (-18 - (3 - 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -8. Suppose 15 = g + l*j, 2*j + 7 = 6*g - g. Let x = 8 - g. Calculate the remainder when 9 is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59289889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1363765.5 months to centuries.\nAnswer: 1136.47125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 819 + -477. List the prime factors of w.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + -14. Suppose -4*u = 5*m - 26, -24 = -4*m - u - y*u. Let i(a) = -a**2 + 2. What is i(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 80?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.7 + 0.5. Let t = -7 + 9. Let u = 0.2 - 1.2. Which is the third biggest value? (a) v (b) u (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 73*j**2 + j - 2. Let k be f(1). Suppose k = 2*h - 10. Find p such that -48*p + 40*p**3 + 17*p**3 + 8 + h*p**3 - 5*p**2 + 47*p**2 = 0.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -11, 3564, -4, 0 in decreasing order.\nAnswer: 3564, 1, 0, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 26 + 4*k - 24 + 2*k**2 + 0*k + (-2*k - 1 + 1)*(14*k - 43*k - 33*k) - 4*k**2 - k**2 + 3*k**2 in the form l*k + m*k**2 + b and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -10 + 4 + 6?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**4\/15 - 44*s**3\/15 - 62*s**2\/5 - 56*s\/3 - 136\/15 = 0. What is s?\nAnswer: -17, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/120 and 7\/1434?\nAnswer: 28680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 51 or -129\/6851?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*d**2*o**3 + 2*d**2*o**2*q - d*o**5 + 22*d*o**3*q - 2*d*o**2 + 6*d + 5*o*q wrt o.\nAnswer: -60*d**2 - 60*d*o**2 + 132*d*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13\/3 or 5?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (58 - 82) - 77?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 3)*((0*x - 2*x + 3*x)*(2 + 2*x**2 - 2) + (-2*x**2 - 3*x**2 + 0*x**2)*(-5*x + 4*x + 2*x)).\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -7834, 3\/2, 0.4 in increasing order.\nAnswer: -7834, 2\/13, 0.4, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*14\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3*i. Let s(f) = -2*f**2. Suppose 2*y - 2 = -4*w + 22, -5*y + 10 = 0. Let m(b) = -b**2. Let n = -13 - -10. Let l(x) = n*s(x) + w*m(x). Give l(k(h)).\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1701825592.\nAnswer: 2, 19, 11196221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*u = -2766 + 716. Is u a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 9*i**2 + 13*i - 6. Let q be z(-6). Let k = 26 - q. Let b(p) = -252*p**2 + 129*p**k + 127*p**2. Let g(u) = 8*u**2. Calculate g(b(c)).\nAnswer: 128*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.09 and -0.15236.\nAnswer: -0.0137124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 20 = 5*x, 2*l - 3*x - 2*x - 5 = 0. Suppose -l*p - 2 = -32. Suppose 4*r = 6*r - 18. Calculate the remainder when r is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 5, 7.\nAnswer: 5, 7, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 27*u + 3*u - 200 = 0 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*y**2 - 22*y - 12.\nAnswer: 2*(y - 2)*(7*y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 10*n**2 - n - 1. Let v = 4 - 2. Suppose 0*a + 19 = a - 2*g, a - 16 = g. Calculate the remainder when w(v) is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-5)\/15)\/((-2)\/36). Let x be 4\/(-6)*9\/r. What is the remainder when 7 is divided by x*(-9)\/(3 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*i + 3. Let z be (6\/(-4))\/(2\/(-4)). Calculate the highest common factor of i and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -197c - -1?\nAnswer: -197b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 455 + -451. Suppose m + 20 = -3*a, -2*a + m + 15 = -w*a. Put a, -4, 18 in descending order.\nAnswer: 18, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 17*m - 200. Let p be x(-8). Let o(b) be the first derivative of -18 + p*b + 2\/3*b**3 + 7*b**2. Find the second derivative of o(a) wrt a.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1304\/1645 - -52\/235. Let t = -0.1 - -0.1. Which is the third biggest value? (a) t (b) -2\/11 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-78)\/27*(-846)\/188?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46697 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 75376 and 1432144.\nAnswer: 1432144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*v + 35 = 5*w - 117*v, 0 = -3*w - v + 17 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*v = -175 - 644 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 9 = -4*i. Let b be (3 - 24\/9)\/(i\/36). Solve -3*v - 19 = b*o, -3*v = o + 4*o + 20 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(209)\/(sqrt(11) + (sqrt(22) + 2*sqrt(22) - sqrt(22))\/sqrt(2) - sqrt(11)))**2 + -5 + 4*(-5*sqrt(2736)*1*-5)**2.\nAnswer: sqrt(19) + 27360003\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -528, 283, 0 in descending order.\nAnswer: 283, 0, -528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/7 - 25670566*t**2\/7 + 82372257680326*t\/7 - 82372232009762\/7.\nAnswer: 2*(t - 6417641)**2*(t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1087 + 3472\/3. Let n(z) = 12*z - 1. Let j be n(6). Let h = m - j. Which is the nearest to -2? (a) h (b) -1 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 9:48 AM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11995*p**2 + 1647*p**2 + 3547*p**2 + 4319*p**2.\nAnswer: 21508*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4863990 is divided by 642?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 5:40 PM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - (1 - (-18 + 17 + -23))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (32\/(-16))\/((-3)\/105). What is the highest common factor of 630 and j?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -35 in 261, 2, 0.5, 2\/9, 3\/2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1\/8, 1.01 in descending order.\nAnswer: 5, 1.01, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8042 + -1979. Does 43 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1861 - 1867. Is -2\/213 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*j - 79 = 29*j. What are the prime factors of j?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 12*k**2 - 4*k + 167. Let d be t(11). Put 50, 21, d in descending order.\nAnswer: 50, 21, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 474687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ufpd when four letters picked without replacement from dfpcu.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -136 (b) -2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 - 1 + 2)*(18 - 4*s - 18) - 2*s - 3*s + 7*s)*(-1 + 2 - 2)*((-2 + 5 - 1)*(1 - s - 1) - s + 5 - 5 - 2*s + 6*s - 3*s) to n*s**2 + v*s + u and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -59890, -59785, -59610, -59365, -59050?\n\"Answer: 35*g**2 - 59925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 7*j**2 - 11*j + 16. Calculate n(3).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -0*k + 87. Let r be (-3)\/12 + k\/(-12). Let a(g) = g**2 - g - 9. Let d be a(r). What is the highest common factor of 66 and d?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 6. Suppose 3*n = 5*w - n - 41, 2*n = 3*w - 23. Suppose -b*x - 252 = -w*u, u + 5*x - 11 = 34. What is u rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6\/69043 (b) -3\/7 (c) 1\/2 (d) 0.4 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -98, -161, -244, -353, -494?\nAnswer: -673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in six fifths of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/1428 and -123\/944020.\nAnswer: 48145020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-46 - -66 - (2 - 2)) + 17\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 5*n. Let u be 20*(1\/1 - n). Suppose 2*s = 2*i - u, -2*i - 2*s - 3*s - 1 = 0. Calculate the smallest common multiple of 1 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 p when two letters picked without replacement from {n: 1, p: 4, g: 6}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-1 + 6\/5). Suppose -2*b + 4*b = 5*a + 71, -4*a - 135 = -h*b. What is the greatest common divisor of 23 and b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 5*j + 12. Let c be t(-3). Suppose b - 2 = -5*o, 4*b - c = b - 2*o. Let v = 33 - b. Is 7 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -187331*h**2*x - 6*h*x + 76*h + 22*x wrt h?\nAnswer: -374662*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15842 + 15841.85. What is the closest to i in -3, -17, -0.3, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 + 31.5. Sort -0.2, -1, w in ascending order.\nAnswer: -1, -0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 1132997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -400*g - 6820 = -398*g. Let s = g - -6631. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**3 - 5 + 5)*(2 - 2 + 2*v) + 2*v**4 + 0*v**4 - v**4 - 1 + 1 - v**4 + v**3 - v**3 + 2*v**4 - 3*v**2 + 3*v**2 - 4*v**4.\nAnswer: -6*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**5\/5 - 661*y**4\/5 - 669*y**3\/5 + 4621*y**2\/5 + 1720*y + 3972\/5 = 0. Calculate y.\nAnswer: -2, -1, 3, 662","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxywwxmxllxx. What is prob of picking 2 w?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20\/6 - (-1)\/(-3). Suppose -k - 9 = i*s, -2*k - 3 = 3*s + 3. Put 0, s, -1 in decreasing order.\nAnswer: 0, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159484538 is divided by 64.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**6*p\/p**(2\/11))\/(p**3\/p**(-2))*(((p\/((p*p**(5\/2)*p)\/p)*p)\/p)\/p**(-7))\/(p**(-1\/4)*p)**(-1\/7) assuming p is positive.\nAnswer: p**(1979\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 3715*b + 4306*b - 8427*b - 19*b**2 in the form t*b**2 + j*b + g and give t.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 80700335 to the nearest integer?\nAnswer: 8983","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 52629 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.02, -5, -4, 2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.052? (a) -0.3 (b) -5 (c) 0.14 (d) -0.5 (e) 201.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 4:34 AM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2*-16*(-12)\/(168\/14)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 6*b**2 - 2*b + 7. Let z be t(-6). What is the greatest common factor of 19 and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 + 2*(-3)\/(3 + 0). Which is bigger: 2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/11345274 and 5\/5672637.\nAnswer: 11345274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 1 + 5. Solve -3*f + t + 6 = 0, 0 = -3*i - 4*f for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, 12, 68?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 464*z + 1356 = 49*z - 719 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 659710 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: Is 1393710757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u - 47 + 82 - 24 - 26.\nAnswer: 3*u - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 399 (base 13) to base 11\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 7*j + 1. Let r be y(0). Solve -2*f + 3 = r for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 5*v = 22, -98*d = -101*d - 2*v + 14 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56861, 122062, 187263, 252464?\nAnswer: 317665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-40)\/1)\/(6\/762)*-1?\nAnswer: 2, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 1:50 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of q**3\/6 - 2*q**2 + 4*q. Let b be t(4). Suppose -3*f = -b*f + 7200000. Round f to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 times -17.2?\nAnswer: -0.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 91621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9336495 or 9336497?\nAnswer: 9336497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -18*x - 65. What is the hundreds digit of w(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 253 and 66.\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -484 + 482. Which is the nearest to -3\/2? (a) 0.02 (b) o (c) 4 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 5*y**2 + y - 7. Let m be h(-4). Let d = 27 + m. Solve -2*s + 2*t = 6, 3*s + t + d = 7 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a century in years?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 344196569 divided by -3383\nAnswer: -101743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 259 and 1194837?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2697*x**5 + 38*x**2 + 2*x + 11.\nAnswer: 161820*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -309*w - 2597 + 2597 to the form z + i*w and give i.\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/25531 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 + -5 - -1*39. Let w = -66 - -92. Calculate the greatest common factor of b and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -453 * -29501.\nAnswer: 13363953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -5 - (-1 - -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from apiaio. What is prob of picking 1 o and 1 a?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ra when two letters picked without replacement from paarrapr?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -7.93. Let z = -0.05 - f. Let q = 0.58 + z. Is q less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**5 - 15720*u**4 - 441846*u**3 - 3507396*u**2 - 5752149*u - 2670876 = 0. Calculate u.\nAnswer: -13, -1, 5268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -556 + 571 + (11 - (4 + -1))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81473072.\nAnswer: 2, 67, 76001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6561, -13106, -19651, -26196?\n\"Answer: -6545*z - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167 = 7*b + 2008. Let h be 3*(-8)\/(-6) + 17 + b. Round h to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*j**4 - j**2 + 6*j**4 + 2*j**3 + j**4.\nAnswer: -j**2*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/6*162\/72. Solve -15 = -5*m, 2*y - y = m - a for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(-2)\/(-24)*-2. Let o be -1 + 2 + -3 - 10\/(-4). Which is the second biggest value? (a) d (b) -0.4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 1:37 PM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (0 - ((5 - 12) + 9))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3045.253 + 4817.174. Let n = 1692.05 - y. Let r = -80 - n. What is r rounded to 2 decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11115500 divided by -4042?\nAnswer: -2750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -15, -25?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 54590.09l in millilitres?\nAnswer: 54590090","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of z**11\/1496880 - z**10\/340200 + z**9\/272160 + z**5\/15 - 6*z**2. Let x(g) be the third derivative of s(g). Factor x(m).\nAnswer: 2*m**3*(m - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z**2. Let h(c) = -2041*c. What is v(h(j))?\nAnswer: 12497043*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 15 = u. Let s(m) = m**3 + 9*m**2 + 9*m - 3. Let g be s(u). Is 6 a factor of (5 + g\/(-8))\/((-2)\/28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/2 - 6\/(-8). Which is the closest to k? (a) 0 (b) 3\/5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*o - 4*o + 2*o)*(o**3 - 2*o**3 + 0*o**3) - 200*o**4 + 53575 - 53575 to the form w*o**4 + z*o + b + h*o**3 + k*o**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, 2, 0, -41 in ascending order.\nAnswer: -41, 0, 2, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q + 453 = 417. Which is the second smallest value? (a) q (b) -0.06 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*a = 0. Let i be 1 - a\/(3 - 0). Calculate the highest common divisor of i and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5704, 7, -215 in descending order.\nAnswer: 7, -215, -5704","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4942618.\nAnswer: 2, 2471309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {s: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+-6424\nAnswer: -6423.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1817 divided by 79\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 32382\/3105 - 480\/288*12\/50.\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32 - -32. Suppose 3*y + 6 = t + y, 2*y + 6 = j. Let q be 2\/8 - 1\/(-20). Is t smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -111 by 3.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 7*m - 16 = -4*t, 38213*t + 25 = m + 38217*t for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - q**2 + 1. Let k be l(-1). Let a be 2\/(k\/(-1 - -12)). Suppose 0 = -2*f + a - 6. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42.33 - -47.33. What is the third biggest value in p, 18, 0.03, -5\/3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179545504013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40578?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 248\/20 - (-27)\/45. Suppose 6*x - 8*x - 2 = 0. Let u be -1*(7 + -2)*x. Solve -4*k = -w + u for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 5*n**2 - 3*n - 5. Let t = -9 + 4. Let r be v(t). Calculate the greatest common divisor of r and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 261*h**3 + h + 2*h**4 - 262*h**3 + h**2 - 3*h**2 to the form q*h + u + y*h**2 + z*h**4 + s*h**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-24)*-6 - (-1131)\/156?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 35 = 5. Let t be 5 - j\/9*-3. Suppose t*r = -4*d - 2*r + 700, 3*r - 525 = -3*d. What is the remainder when d is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 11*g + 18. Let u be c(-8). Let r(y) = 15 - 3*y - 27 + 7. Determine r(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*r + 59*r - 4*r**2 - 115*r.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/237 or -3926\/89?\nAnswer: -2\/237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 38*a + 383. Calculate the lowest common multiple of 319 and s(13).\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.01 - 0.39. Let t = 358 + -358.5. Sort 1, t, r in increasing order.\nAnswer: t, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 2. Let b(q) = 24*q**2 - 1. Let d be b(r). Let m = d - 9. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3 + 124*z**2 - 690*z + 1008.\nAnswer: -2*(z - 56)*(z - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -990.50146 to the nearest integer.\nAnswer: -991","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 0 = 2*d. Which is the nearest to d? (a) 3 (b) -2 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q - 1. Let a be j(-11). Let u be -6 + a + 1\/1. Suppose u*g - 3 = 7. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 85.0830042 - 85.035. Let y = -20 + 19.952. Let m = s + y. What is m rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 113 + -97. Suppose -15*f = -11*f + i, -18 = -x + 4*f. What is the remainder when 634\/10 - 4 - x\/5 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-211)\/(-92840)*264)\/((6\/70)\/3).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 7:55 AM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/46 or 3\/23730622?\nAnswer: 3\/23730622","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.01297717 and 5271.\nAnswer: 5271.01297717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**3 + i - 2*i**2 + 15 + 16 - 7*i**4 + 0*i - 29 to the form g + j*i**3 + o*i + m*i**4 + t*i**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 189? (a) 2\/5 (b) 0 (c) -59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 + 35. Solve 5*p - 4 = 3*g, 3*p - 14 = -t*g - 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 34*b - 212. Determine x(4).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r**3 - r. Let w be f(-1). Suppose 4 = -2*q - k, -2*q + 6*q - 2*k + 24 = 0. Let m be q\/w*(-20)\/8. Solve x - 3 = m for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10393 is divided by 112.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of y**7 + 7*y**3\/3 + 5. What is the third derivative of i(k) wrt k?\nAnswer: 840*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4755 = -4*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 42 + 2 = 0. Differentiate 282*y**3 - 8 + 31*y**g - 282*y**3 with respect to y.\nAnswer: 124*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**3 - 4*c**2 - 6*c - 1. Let k(h) = h**3 + h**2 - 1. Let n(u) = b(u) - k(u). Give n(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(-1) - -48) + 0. What is the highest common factor of 9 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.3 (b) -2 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 6*n = 372. Let l = n + 65. Solve v + 3*q = -13, 2*v + q + 8 = -l for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/10*(18\/20)\/(81\/675)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.19 - -0.19. Let k = -6 - -6. Suppose k = 2*r + 5 + 3. Sort -5, y, r.\nAnswer: -5, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 68 = -4*c, -4*c + 42 + 11 = -3*q. Calculate the remainder when 29 is divided by 8\/(-3)*q\/4.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3340 is divided by 353?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 690.7972 years to months.\nAnswer: 8289.5664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**3 + 59135*k**2 + 947440*k = 0. Calculate k.\nAnswer: -16, 0, 11843","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g - 11133 = -16*g + 4*h, -3*g + 3*h + 11130 = 0. What are the prime factors of g?\nAnswer: 11, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2024405 (base 6) to base 7\nAnswer: 552362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1640 - -1640. Solve -4*l - 3*t - 11 + 4 = 0, 4*l - 4*t = q for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 13*q**2 - 41*q - 265. Calculate the remainder when 349 is divided by g(-12).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6701811?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*0.384457.\nAnswer: 0.0384457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + m - 4*l - 26, -3*m + 3*l = -6. Let y(i) = -i**2 - 19*i - 86. Let r be y(-10). Sort m, r, -1 in increasing order.\nAnswer: m, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 56*m**4*q + 33*m**4 + 8*m**3*q - 3*m**3 + 2*m**2*q - 2*m**2 + 2*m*q - 376*m - 46*q wrt m.\nAnswer: 1344*m*q + 792*m + 48*q - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -9*t**2 + 6*t + 2. Let h(k) = -5*k**2 + 4*k + 3*k + 5*k - 14*k**2 + 5. Let s(c) = 5*d(c) - 2*h(c). Find the second derivative of s(i) wrt i.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/10 (b) -1 (c) 0.1 (d) 5\/9 (e) -3907\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + y = -1 + 36, -5*y + 1 = 4*i. Suppose -3*g = p - 16, p + g = 8 - 0. Calculate the lowest common multiple of 4 and (-56)\/(-6) - p\/i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*p - 25*p + 6 = -3*k, -5*p - 18 = 3*k. What is the closest to 0.2 in 2, 30, k, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 h, and 1 b when four letters picked without replacement from {h: 3, a: 9, y: 1, b: 5}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i**2 - 1 + 1)*(-i - 3*i + 3*i) - 4 + 4 - i**3 + 169*i**2 + 8*i**3 + 18*i**3 - 176*i**2 to v + y*i**2 + w*i**3 + t*i and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2106 (base 7) in base 16?\nAnswer: -2e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u**2 - 5*u + 5. Let o be l(5). Let c = -28 + o. Is 12 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15401 - 4963. What are the prime factors of g?\nAnswer: 2, 17, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16466, 16549, 16642, 16745, 16858?\nAnswer: 16981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-57)\/3420)\/(18\/(-240))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -8793261?\nAnswer: 8793262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6523*d*q - 509921*d wrt q.\nAnswer: -6523*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 5*u**2 - 2*u - 4. Let s be o(6). Suppose 6*w - w = s. Suppose 0*y - 12 = y + 3*d, -32 = -4*y + w*d. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + l = 80. Let u(d) = -d**3 - 22*d**2 - d - 1. Let x be (-141)\/6 + (30\/4)\/5. Calculate the remainder when l is divided by u(x).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 4*b - 5*b)*(7309 - 1154*b**2 - 7309)*(3*b - 4*b - 3*b) + 0*b**4 + b**4 - 2*b**4.\nAnswer: -9233*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 34 = -3*l + 42, 2 = 2*f. What is the remainder when 68 is divided by l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*o = -8*o - 189 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -158 + 160. Let k be (f + 1)*(-28)\/(-21). Solve 5*s - 7 = -k*u, -2*u - 3*u = 2*s - 13 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 560 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 76006 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 10*b**2. Let s(j) = 162*j - 170*j + 324*j + 610*j - 16*j. Give s(c(k)).\nAnswer: 9100*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 44 (b) -4\/3 (c) 15 (d) -23 (e) -0.05101\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 65 and 481.\nAnswer: 2405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-399)\/665)\/(-2*(-2)\/(-4)*-1)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of -h**6\/45 + h**5\/6 - 2*h**4\/9 - 787*h. Find b such that d(b) = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*z - 5*z - 3*z)*(-3*z + 11 - 11)*(-5 + 5 - 1) in the form a + r*z**2 + d*z and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53 + 52.8. Let k = 0.06 + -0.76. Let a = -0.6 - k. What is the biggest value in y, -4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 463, 486, 547, 664, 855, 1138, 1531, 2052?\nAnswer: 2719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h + h**3 - 4 - 2*h + 5*h**2 - 4*h. Let g be s(-6). Solve n = 1 - g for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.8 and -213?\nAnswer: 596.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)\/(5*sqrt(63)\/sqrt(7)))\/(sqrt(4) + -3*-1*sqrt(4) - sqrt(20)\/(sqrt(5) - (sqrt(5) + sqrt(20)))).\nAnswer: 2*sqrt(7)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-59*q + 31*q + 27*q)*(3 - 10*q - 9 + 7) to u*q + l*q**2 + s and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(2600) + sqrt(2600)*-1)\/sqrt(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*w**2 + 7*w**2 - 2*w**2 - 1 + w**2 + 1 + (w + 0*w - 2*w)*(-2*w + 5*w - w))*(-4096*w + 2054*w + 2041*w + w**2 - 92).\nAnswer: -11*w**4 + 11*w**3 + 1012*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -d**2\/2 - d + 171. Let a = 7 + -7. Suppose 2*x + 4 - 12 = a. Give y(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(6\/7)*m*((m\/(m*m**(1\/6)))\/m)\/m*(m**(-2\/9)\/m)\/m**1)**(1\/3))**(1\/16) assuming m is positive.\nAnswer: m**(-319\/6048)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 65710 = -24994. What are the prime factors of v?\nAnswer: 2, 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x + 32*x = 10 + 86 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u*u*u**(-3)*u))\/u*u**7\/u)\/(u**(-1)*u*(u\/(u*(u\/((u\/(u*u*u**(-4\/7)*u))\/u))\/u))\/u)*((u**0*u)\/(u\/u**6))**21 assuming u is positive.\nAnswer: u**(941\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -104 - -311. Suppose i - 70 - k = 0. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 119? (a) -41 (b) -0.77 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1627497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from ttlltlt.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1628239.\nAnswer: 23, 70793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 1:18 AM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 804 is divided by 172.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1228257641 to the nearest integer?\nAnswer: 35047","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 112662 (base 14) to base 9\nAnswer: 1077636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9956 times 146.8\nAnswer: -1461540.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-3*sqrt(7) + -1.\nAnswer: -6*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11642990 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: Let h be ((-10)\/(-6))\/(195\/468). Solve -y = 5, h*w + y + 3*y = -24 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.4, 3963, 0.4, -6, 3, -1.1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.631547 millilitres to litres.\nAnswer: 0.000631547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 391.\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 52 + -22. Suppose -x = m - 4*m. Solve -5*l = -2*p - p - m, 5*p - l = -24 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -5*q**3 + 2*q + 2. Let t(n) = 110*n**3 - 45*n - 45. Let z = -46 - -1. Determine z*y(o) - 2*t(o).\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 - 617*a**2\/3 - 10450*a\/3 + 4347.\nAnswer: -(a + 23)*(a + 81)*(6*a - 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*g - 7 = 67 + 30. Suppose 0 = -0*x - 3*x + 4*l - 11, -5*x = 2*l - 25. Suppose -x*w + 53 = -g. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -492*c - 3 - 88*c**2 - 264*c**2 + 1188*c + 3 - 694*c.\nAnswer: -352*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5376726 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -2*b**5\/5 + 2*b**3\/3 - 948*b + 678. Differentiate a(s) with respect to s.\nAnswer: -8*s**3 + 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -3740464\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-210 - 2*r**2 + 75 - r + 83)*(-3 + 2 - 1).\nAnswer: 4*r**2 + 2*r + 104","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 4*u**2 + 6*u + 4. Suppose -5*s - 3*v + 21 = 0, 0 = 5*s - 3*v - 7 - 32. Determine m(s).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -n - 22, 3*n + 18 = -5*y - 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pmcmpmmpoopmmopc. What is prob of sequence po?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -13 + -13 + 29?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*a**4 + 24*a**2 - 24*a**2 + (a**4 + 2*a**4 - 2*a**4 - 2*a**4 - 3*a**4 + 7*a**4 + (4*a + 0*a - 2*a)*(-1 + 1 + a**3))*(5 - 2 - 5).\nAnswer: 3*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/3 + (-10)\/6. Let w = 0 + 2. What is the lowest common multiple of w and (-99)\/(-15) - a\/5?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cddddddddddddecbd. What is prob of sequence dcde?\nAnswer: 13\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42295545.99867 + 42295337. Let w = c - -209. Round w to 4 dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.30890483 rounded to 0 dps?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -k**3\/2 - 3*k**2\/2 - 4*k. Calculate the least common multiple of 6 and s(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 567 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18403 and 32747?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1124747876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -153563\/1120 - 65\/224. Let z = q + 137. Which is the nearest to -2\/3? (a) -0.3 (b) z (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24936.3 meters to centimeters.\nAnswer: 2493630","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 6*s**2 - 3*s - 3. Let r be (-8)\/152 - 1955\/(-323). Let p(b) = -b**2 - b - 1. Give r*p(h) - 2*j(h).\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -44410222 + -1?\nAnswer: -44410223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -m**3\/3 + m**2\/2 + m + 5. Let u(s) = s**2 + 8*s + 6. Let w be u(-7). Let a(o) = 4*o**2 - o. Determine w*l(v) - a(v).\nAnswer: -3*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -236772 times 68\nAnswer: -16100496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 3*t + 28, 4*q - 4*t + 9*t = -78. Let a be -6*(-3 + 2) + 66\/q. What is the second derivative of -11*j - 27*j**5 + 22*j + a*j wrt j?\nAnswer: -540*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162908.3l in millilitres?\nAnswer: 162908300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**3 + 3*v**3 - 9*v + 10*v + 5*v**3 + v**2 to the form g*v**3 + b*v**2 + k + u*v and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24.71 - 27.8. Let k = 3 + n. What is k rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 444, 442, 440, 438, 436?\nAnswer: 434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 3 (c) 0.1998 (d) 1\/6 (e) 0 (f) 0.2 (g) 1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2894360 + -5?\nAnswer: -2894365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 352 + -202. Suppose 0 = -18*v + 13*v - n. Does 20 divide (1 - 94\/(-6))\/((-4)\/v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8398649 rounded to the nearest 10000?\nAnswer: -8400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14368564 (base 10) to base 13.\nAnswer: 2c91112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-7\/6)*f**(28\/9))\/(f**(2\/3))**(-19) assuming f is positive.\nAnswer: f**(263\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -98692399\/16570 + -367\/3314. Let j = b + 178513\/30. Find the common denominator of 119\/6 and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -2. Let v(g) = 2 - 1 + 2 - 1 + 2*g. Let r be v(7). Solve 4*s + z = -r for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of i**6\/60 + i**5\/10 - 7*i**4\/12 + i**3\/6 + 35*i**2. What is the units digit of q(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 6088, -0.4, 1\/4, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzhz when four letters picked without replacement from {z: 3, h: 4, w: 9}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -22*c + 6. What are the prime factors of o(-8)?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of t**5\/3 - t**4\/12 + 12*t**2. Let j(o) = 20*o**2 - 3*o. Let r(g) = -3*f(g) + 2*j(g). Let q(v) = -v. Calculate r(q(l)).\nAnswer: -20*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212*j + 356742 = -194*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -11*t**2 - 11*t + 2. Let y = 15 + -7. Let u(a) = 7*a**2 + 7*a + 2. Let c(g) = -1. Let d(s) = 3*c(s) + u(s). Let k(h) = y*d(h) + 5*n(h). Give k(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**4 - 29872*b**3 - 89598*b**2.\nAnswer: -2*b**2*(b + 3)*(b + 14933)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 0)\/(-2) - (108 + (-629672)\/5828)?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 11*d**2 - 12*d + 3. Let l be f(-12). Suppose 4*y = 5*y. Put y, 1, l in decreasing order.\nAnswer: l, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 499 + 373. Let b = 229 - o. What is the remainder when 45 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.09 - 0.41. Let g = -0.499912 - t. Round g to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 573*i**3*m**2 + 65*i**3*w + i**2*m - 2*i**2*w - 2*i*m**2*w - 167*m**2 - 31*m wrt m?\nAnswer: 1146*i**3 - 4*i*w - 334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/4 + 6612183*w\/4 - 1653046.\nAnswer: (w - 1)*(w + 6612184)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 25 = 5*i. Let h(r) = 5*r**2 + 5*r - 5. Let d be h(1). Suppose d*t = 109 - 29. Solve -i*a + t = -a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 - -24. Put 12, 5, w in descending order.\nAnswer: 12, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d**3 - 250*d**2 - 3*d - 10268.\nAnswer: -3*d**2 - 500*d - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -3, 2.\nAnswer: -4, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 62 + -76. Let m(j) = -j**2 - 28*j + 2. Let v be m(a). Suppose 0 = -0*s - 3*s + v. What are the prime factors of s?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2448326964?\nAnswer: 2, 3, 263, 521, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -5*x - 231. Let k = 47 + x. What is the remainder when 24 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -6019*l - 30082. Calculate u(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (15\/(-10))\/(2\/(-76)). Let p = -29 + y. Does 14 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*2*sqrt(228)*1)\/((sqrt(108) + sqrt(108) + -4*(sqrt(108)*-2 - sqrt(108)))\/sqrt(9)))**2.\nAnswer: 19\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 2381773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccccc. Give prob of picking 4 c.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-5*(-15)\/(-525))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65623 divided by 3527.\nAnswer: 65623\/3527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1481830 to the nearest integer?\nAnswer: 1217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gmdbiigiqbbqq. What is prob of picking 1 d and 1 b?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 9*z + 6 + 7\/3*z**3 + 1\/4*z**4 + 9\/2*z**2. Calculate p(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -10*x**2 + 8*x + 15. Suppose 0 = 6*j - 44 + 14. Let r(t) = 4*t - t + 4*t - 3. Calculate j*v(y) + 14*r(y).\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6820 and 136?\nAnswer: 231880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (360\/54)\/(4\/6). Solve 7*l = 5*l + x for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*g**2*r**4 + g**2*r**2 - 408*g**2 - 2*g*r**6 - 2*r**4 wrt r?\nAnswer: 72*g**2*r - 240*g*r**3 - 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 1. Suppose -4*f + m*f = -188. What are the prime factors of f?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25.097 + -0.097. What is the closest to -3 in 1\/6, u, 2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 + 2*l**2 - 4*l**2)*(-l**2 + 12 + 2*l**3 - 12) + 2*l**5 - 3*l**5 + 3*l**5.\nAnswer: -2*l**5 + 2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -2\/89, -1\/8, -0.4, 95?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -2\/25*r**5 - 2\/15*r**2 - 12 + 0*r + 2\/15*r**3 + 1\/45*r**6 + 1\/30*r**4. Find l such that n(l) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200655553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62697176 divided by -2.\nAnswer: 31348588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.404538l to millilitres.\nAnswer: 5404.538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 11. Let k be z\/(2\/(-3)) - -7. What is the derivative of k*o**4 + 3 - 2 - 5 wrt o?\nAnswer: 16*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.6 + 2.9. Let k = 0.35 - -0.15. What is the closest to 1 in k, -0.2, f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50910897 - -0.22?\nAnswer: 50910897.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13610 to the power of 1\/2, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 96\/(-264) - 31\/(38874\/(-588)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/6594 + 1648\/3297. What is the closest to -10 in 0.3, 0.1, v, 1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from adddda. Give prob of picking 2 d.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1523299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 2*y = -19, 3058*y + 1 = -5*a + 3060*y for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -5 (b) -253\/6 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 156812 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1302360, 5209605, 11721680, 20838585, 32560320, 46886885?\nAnswer: 63818280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/12)*o\/o**(-2\/21)*o)**(-48)\/((o**(-5\/6)\/(o**(-1)*o*o))\/(o*o**(-2\/5))**13) assuming o is positive.\nAnswer: o**(-19937\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*g - g - 3*g**2 - 5*g + 0 - 3.\nAnswer: -3*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000044646705 rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*f**2 + 152 - 154 - 81*f**2.\nAnswer: -186*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u**3 - 4*u - 6. Let a(h) = -h. Let v(t) = -4*a(t) + l(t). What is the derivative of v(g) wrt g?\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/69 and (3\/(-22))\/((-279)\/9672).\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + ((-16)\/(-7))\/((-5)\/(-10)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4*g**2 + 2*g + 1. Let c(u) = u**2 + u + 1. Let s(m) = m - 14. Let z be s(15). Determine z*p(k) - 2*c(k).\nAnswer: 2*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -2. Let t = 183 + -182. Which is the third biggest value? (a) q (b) -1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 219, -2, -543, -1560, -3209, -5646?\n\"Answer: -26*t**3 - 4*t**2 - 27*t + 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 4*l**2 - 24*l - 230. Let o be s(-6). Solve -32 = 5*f + 3*m, 4*f + 2*m + o = 34 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2349 is divided by 828.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -4, 3, -18, -289, -20 in increasing order.\nAnswer: -289, -20, -18, -4, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(-5*l + 3*l + 0*l) - l + 3*l + 0*l + (-2 + 0 + 4)*(-7*l + 5 + 2*l + 9).\nAnswer: -12*l + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 20268 = -2*y + 18*y. Is y less than or equal to 2251?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*d = -50*d - 40*d - 232 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - 7*c - 22. Suppose -5 = 3*v - 35. Let n be z(v). Let p be n\/6*(-3)\/(-132). Which is greater: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 12:51 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - 0.1. Suppose -2*z - 7*t = -29, z - 4*t + 8 = -3*t. Which is the closest to -0.1? (a) q (b) 4\/5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/40 and 77\/55950?\nAnswer: 223800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 5*y - 6. Let k(w) = w**2 - 4*w + 5. Let a(p) = p - 1. Let n be a(-5). Let v be 20\/n*60\/50. What is v*x(l) - 5*k(l)?\nAnswer: -l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 8 = -5*p. Let h(z) = -z + 19. Let k be h(14). Let b = -132 + 920\/7. Put p, b, k in ascending order.\nAnswer: b, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**2. Let o(r) be the second derivative of -2*r**3\/3 + 3*r**2\/2 - 27*r. Determine q(o(f)).\nAnswer: 32*f**2 - 48*f + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 12, 652.\nAnswer: -4, 12, 652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h - 1. Let p(k) = 9*k + 3 - 2*k + 3*k. Calculate 2*p(z) + 7*v(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-184*h - 22*h - 22*h)*(0*h**3 + 3*h**3 - 5*h**3).\nAnswer: 456*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(72) + 0)*2.\nAnswer: -6 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -681.7994 - -682. Let q = -0.2 + m. What is q rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -220075\/348 or -633?\nAnswer: -633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -18886 at most as big as -18901?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 11 - (-96 - -91).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**2 - 3*o**3 + 4*o - o**3 + 2*o**3 + o**4 - 5*o to the form f*o**4 + v*o**2 + s*o**3 + g + l*o and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 14840 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 1.5, 8, 1\/2, 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 308*y - 194*y**3 + 22*y**3 - 206*y**3 + 79*y**3 wrt y?\nAnswer: -1794*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 356885 and 341815.\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 3*z = -42, -19*n - 170*z + 134 = -165*z for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51686961?\nAnswer: 3, 29, 594103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from frggfrrrrroftfrr. What is prob of picking 2 g and 1 t?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) - sqrt(240)\/sqrt(6))\/(sqrt(500) + sqrt(500)*-2) + (-2*(sqrt(2) + 1)*4 - (3*sqrt(16)\/sqrt(4))\/sqrt(2)).\nAnswer: -109*sqrt(2)\/10 - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/11*(-143)\/(-26).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q - 4. Let g(f) = -11 - 2 + 31*f - 35*f. Suppose 5*o + 3*d = 5, -6*o - 19 = -4*o - 3*d. Determine o*g(z) + 7*n(z).\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3*f + 71, f - 79 = -3*o + 44. Let b be (-9*2)\/(((-21)\/105)\/(16\/48)). What is the highest common divisor of b and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u\/u**(3\/5)*u))**(48\/7))**(-4)*(u**(2\/3))**(-2\/77)\/(u*u*u**9\/u*u**(-3\/8)) assuming u is positive.\nAnswer: u**(-241159\/9240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -666.\nAnswer: 1\/222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 160 - 78 - 236*i - 82 to q*i + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g - 18*q + 13*q - 10, -2*q = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 124372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, -2, 8, 2\/15, 2\/5.\nAnswer: -2, -3\/8, 2\/15, 2\/5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - m = 2*m + 18, 4*j + m - 4 = 0. Suppose j*l + 8 = -4. What is the common denominator of (2\/l)\/(22\/30) and -20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258 is divided by 79.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of 13*i**9\/504 + 2*i**5\/15 + i**2\/2 + 14. Let c(o) be the second derivative of b(o). Find the third derivative of c(h) wrt h.\nAnswer: 1560*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 5*k**2 - k + 4. Let x(q) = 3*q + 43. Let r be x(-13). Calculate the remainder when p(-4) is divided by 54\/8 + -1 + 5\/r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, 15\/2, -3, 1\/5, -3637?\nAnswer: -3637","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -1800623*x - 1. Let w be g(1). Let l = w - -4710624. Round l to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35025371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4\/5 (b) -1\/3 (c) -2\/3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2039, -4130, -6235, -8360, -10511, -12694, -14915, -17180?\nAnswer: -19495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1161, 4170, 9027, 15726, 24261, 34626, 46815?\nAnswer: 60822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/6)\/(7\/((-21)\/2)). Let b(p) = 169*p + 10. Is b(v) a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jmtm when four letters picked without replacement from mtjcct.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3843 and 2.\nAnswer: 7686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 19811187?\nAnswer: 19811187","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dnslndlip. Give prob of picking 1 p, 2 d, and 1 i.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 216*t**4 + 520*t**2*u + 2*t*u - 34*t + u - 188 wrt t.\nAnswer: 2592*t**2 + 1040*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/5)*x*x*x**6)**(-3\/31) assuming x is positive.\nAnswer: x**(-114\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -1155*n + 2318. Calculate y(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33 and 120923?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2, 0.09, -12, 62, 1\/2, -1.3?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -12*z - 7. Let c be t(-3). Let d = 37 - c. What is the remainder when d is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.43 less than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 4:02 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of -q**6\/720 + q**5\/60 - q**4\/12 - 4*q**2. Let i(w) be the second derivative of t(w). Determine i(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o. Let n be (-2)\/7 - (-176)\/28. What is the units digit of j(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(3\/7))\/w)\/w**(-2)*(w*w**(1\/11))\/(w*(w\/w**(1\/4))\/w) assuming w is positive.\nAnswer: w**(853\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 118485 to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 9:58 PM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -14\/15, 3314 in descending order.\nAnswer: 3314, 1\/2, -14\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kattgtatggo. What is prob of picking 1 t and 1 k?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 75*q + 18 = 72*q, 0 = -3*v + 2*q + 14 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 128369610727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -718.8 and -6.\nAnswer: -724.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 0, 23, 0.06, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04595973 rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3900 - 3897 + l + 0*l + 5*l**2 to s*l**2 + x*l + i and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/77 and -34\/1015?\nAnswer: 11165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168 - 98*p + 639 + 195*p - 98*p - 308 - 162.\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -57 + 57 + 9*i + 3*i - 5*i + 0*i + 0 - 2*i + 0 + (2 - 2 - i)*(4 - 3 + 1).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.5 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -0.1, 238, 3, 3\/2, 0.3 in decreasing order.\nAnswer: 238, 3, 3\/2, 0.3, -0.1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75062 (base 11) to base 16.\nAnswer: 1aa9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -13*p**3\/3 + 712*p. Let m(k) be the first derivative of -4*k**3 + 57. Calculate a(m(x)).\nAnswer: 312*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -44797289 or -44797286?\nAnswer: -44797286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yw when two letters picked without replacement from {w: 2, r: 1, y: 1, v: 1, q: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*p + 26*p - 120 = 31*p. Suppose 0 = 2*x - 5*c - 24, 8*c = 3*c - 20. Suppose 3 = x*s - 5. Solve p*l - 2*n - 23 = l, 5*l = -s*n - 1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 1 - 7 + 9*h - 3 - h. Let b be z(-12). Let x = -527\/5 - b. Which is greater: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 - 55. Let u be 3\/(-2)*m\/9. Solve 0 = u*o - 15, -n - 14 = -4*o - 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 0*d = d - 12, 18*n - 23*n + 45*d - 17*d = 106 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46026, 45970, 45914, 45858?\nAnswer: 45802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 3*o**2 + 2*o - 3. Let r be s(3). Let p be (r\/2)\/((-3)\/(-10)). Solve 5*h - 3*x - 3 = 0, x - p*x = 4*h + 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3 + -2*(-1*(-1*sqrt(2268) - (-3*sqrt(63) + 0)))**2.\nAnswer: -1139","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -5, 0 in descending order.\nAnswer: 0, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 2*q - 6, -3*c + 9 = -4*q - 15. Suppose 135 = c*k + k. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 - 2*w**2 - 3*w**3 - 11 + 6 - 11 to r + d*w + n*w**3 + s*w**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(550) + 3*(sqrt(550) - 1*sqrt(550)))\/(2*sqrt(44)) + 4)**2.\nAnswer: 10*sqrt(2) + 153\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*n = 3*m - 2, 4*n = m + 3. Let p = 8 + -40. Let a be ((-15)\/(-4))\/(1*(-12)\/p). Solve -m + a = -3*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2225 + -9?\nAnswer: 2218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -3*b - 5. Let j be (-2*4\/16)\/b. Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 292 = -9*j - 246, 4*j - 6 = -k for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2265, -25, 5, -3, 4, -2, -4 in descending order.\nAnswer: 2265, 5, 4, -2, -3, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100 (base 2) to base 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3439 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3*sqrt(1176))\/(sqrt(48)\/sqrt(96)).\nAnswer: -84*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1326236 is divided by 6759.\nAnswer: 1472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 94*m*n**4 + 2*m*n + m + 77 wrt n?\nAnswer: 376*m*n**3 + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1062559271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 + 21. Solve b*c - 5*t = -21, -2*t = -4*t + 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 4*o + 226 = 0, -21403*v = -21408*v - 2*o - 202 for v.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(9)\/sqrt(3) - sqrt(3)) + sqrt(3) + sqrt(6)\/(sqrt(4)\/sqrt(2)) - sqrt(9)\/(sqrt(108)*2).\nAnswer: 71*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -133\/381 + 2\/127. Which is the nearest to m? (a) 0.2 (b) -1\/12 (c) 3 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1655 = -279*b + 3088 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 times -70?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1917, -5619, -9305, -12969, -16605?\n\"Answer: m**3 + 2*m**2 - 3715*m + 1795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20008 (base 11) to base 3.\nAnswer: -1111011211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -v**6\/720 + v**5\/120 - 17*v**4\/6 + 21*v. Let m(i) be the third derivative of q(i). Determine m(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**3\/3 + 80*c**2 + 6034*c + 200900\/3 = 0 for c.\nAnswer: -41, -14, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 161 = 5*y, 3*y = -3*k + 29 + 73. Is y a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3620.7 + -3746. Let z = 4 - 127. Let r = l - z. Which is the smallest value? (a) -0.2 (b) r (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7807 at most as big as -429342\/55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.026735383 rounded to 5 decimal places?\nAnswer: -0.02674","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -dd + -47?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -56276.9974551 - -56277. Round b to four dps.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 45*c**2 - 3*c. Let z(x) = 23*x**2 - x. Let f(h) = -2*u(h) + 5*z(h). Let a be f(-1). Suppose 5*k + a - 74 = 0. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 152955694?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*z + 11. Let j(b) = 3*b**3 + 1 - 3*b**3 - z*b**3. What is the remainder when 22 is divided by j(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 465817700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 612\/18054 - 7640614\/(-118) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 10. Let f be ((-6)\/4)\/(1\/(-2)). Sort f, -2, b.\nAnswer: b, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 397.736 rounded to the nearest 10?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -36 in 0.5, -2, 4, -110?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1481\/5 + -296. Which is the nearest to 2? (a) -0.3 (b) -2 (c) 0.4 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 4, -5, 2, 1 in descending order.\nAnswer: 16, 4, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t + 0*t - 14*t + 2 + 2 - 8*t + 24*t.\nAnswer: -4*t + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 8 = -u. Let t(l) = l**3 - l**3 - 12 - u*l**3. Let i = 107 + -119. Let k(p) = p**3 + 5. Determine i*k(g) - 5*t(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 16*a**2 - 17*a - 13. What is o(-15)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -m**9\/60480 - 7*m**6\/720 + m**5\/20 - 4*m**2. Let n(h) be the third derivative of w(h). What is n(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-81*z - 1 + 54*z + 3)*(-27 - 9 - 1 - 6) as q + y*z and give y.\nAnswer: 1161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + -3 - -8) + -8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4 + 3*x + 3 - 7. Suppose 12*s - 21*s + 207 = 0. What is the remainder when s is divided by a(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -13. Suppose 5*h = 3 + c. Suppose -h = 2*u - 4. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssisissiissisiss. What is prob of picking 1 i and 1 s?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66382027 is divided by 5730.\nAnswer: 5707","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612)*-2*1)**2 - (sqrt(612) + (sqrt(612)*-1)**2*-6 - sqrt(612)))*-5.\nAnswer: -30600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 8035 divided by 1\nAnswer: 8035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*t, 5*d + 4*t - 14 - 14 = 0. Suppose -16 = -d*p - 5*y + 29, -2*y = 3*p - 25. Put p, 4, 0 in descending order.\nAnswer: p, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-9)*126\/14\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1066 is divided by 260.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.051 in -17\/2, -18, 2\/15, 1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + -8332\nAnswer: -8331.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbbfbbbbbfffbbf. What is prob of sequence bfb?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 6 = 0, -4*h + 82 = 4*m - 3*m. Suppose 26 = w + 2*g, -g + h = 2*w - 17. What is the lowest common multiple of 8 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1712.32358 + 0.46358. Let r = 1726 + p. What is r rounded to 0 decimal places?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -6502?\nAnswer: 6502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21)*-2)\/sqrt(3) + sqrt(7))**2 + sqrt(63) + sqrt(63) + 1 + sqrt(63) - (5*sqrt(448)*2)**2.\nAnswer: -44792 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -14. What is the closest to -0.1 in 2\/7, i, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -14. Suppose 2*y - 5 - b = q, 4*q + 4 = 0. Solve -y*j - j = -16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*c**4 - 7975503*c**3 + 183347877*c**2 wrt c.\nAnswer: -480*c - 47853018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 89 + -87. Let x(b) = -6*b**n + 4*b**2 - 3*b**2 + 4*b**2. Let q(d) = -5*d**2 + 15*d**2 + 5*d**2. Calculate q(x(g)).\nAnswer: 15*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53.2 - 62. Let b = 0.2 - q. Let z = b + -8. Put -1\/2, z, 0.2 in descending order.\nAnswer: z, 0.2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*w - 5*r = -30*w - 158, -2 - 7 = -2*w + r for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11186 and 1431489199.\nAnswer: 5593","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-6)*v**4*v*v**(2\/3)*(v\/((v*v**(-6))\/v))\/v assuming v is positive.\nAnswer: v**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 1320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 10 = -w. Let p be 4\/10 + (-13)\/w. Differentiate 4 + p*f**4 + 1 + 0 wrt f.\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/15657 and 41\/52190?\nAnswer: 156570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 6. Is 5 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of 699*j**4\/2 + j**3\/3 - j**2\/2 + 4*j. Is y(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.37, -0.1, 1\/4, 88, 0.05, 1.\nAnswer: -0.1, 0.05, 1\/4, 0.37, 1, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 5*l. Let a(m) = 10628*m + 13. What is d(a(w))?\nAnswer: 53140*w + 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/160 and 67\/2790352.\nAnswer: 27903520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + (-41)\/((-2)\/(-5*(-12)\/30)). What is the greatest common factor of 380 and w?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u**2 + 0*u**2 + u**2 + 11*u**2 - 8*u**2 - 8*u**2 + (4 - 4 - 2*u)*(-2 + 2 + 2*u))*(-14 - 14 + 147) in the form g*u + h + b*u**2 and give b.\nAnswer: -1190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 83*f**3 + 4*f**2 + 16 wrt f?\nAnswer: 249*f**2 + 8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (25\/4)\/((-50)\/(-240)). Solve 23*c - a*c = -14 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 + 1 - 432 + 55 + 191 + (5 - 1 - 6)*(1 + 3 - 6) - 5 + 3 + 1 - 4 + 5 - 2)*(-s + 0*s + 2*s) in the form m + y*s and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 2\/(-10))\/((-4)\/40). Solve 0 = -t*c + 3*c + 20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -152045.7 and -17.\nAnswer: -152062.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -485 + 491. Find the third derivative of -31*f - 29*f - 39 - 59 + f**2 + 172*f**k + 60*f wrt f.\nAnswer: 20640*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 3*b + 3*x - 329 = 0, 2*x = 4*b - 272. Suppose -4*v = -5*m + 259, b - 21 = m + 5*v. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 130 - 129.633. Let n = 0.437 - f. Which is the second biggest value? (a) -14 (b) -0.1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11661 = 8*b - 3795. Does 46 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/8*-2*1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2664229026 divided by 3\nAnswer: -888076342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 9) in base 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79134?\nAnswer: 2, 3, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6907871\/207 + -306238\/9. Let a = y - -655. What is the nearest to -1\/2 in -0.1, -2, a, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -113*k. Let q(z) = 792*z. Calculate 22*f(b) + 3*q(b).\nAnswer: -110*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 23*y - 25. Let h be b(17). Let w be (-22)\/h + (-30)\/(-7). Solve 4 + 0 = w*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + (-30 - -68) + -29.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5, 0, -1.219?\nAnswer: -1.219","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -8*d - 18 + 14*d - 3*d. Let q be f(7). Let u(a) = 8*a**2 + 2*a - 4. What is the units digit of u(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of 13843*n**5\/15 - n**4\/12 + 5*n**3\/3 - 2*n**2. Let c be j(11). What is c rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = 10*a - 14 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/24*(-2112)\/32?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4)*(92*u - 153*u + 27*u**3 - 29*u**3).\nAnswer: -2*u**3 - 61*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3748 = -276*w + 274*w - 3*h, 3*h + 12 = 0. What is the lowest common multiple of 423 and w?\nAnswer: 16920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3850 and 59400.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 62166735 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 3 (b) 2\/9 (c) -2\/11 (d) 4.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - ((-7 - (95 + 11)) + 7) - (36 - 39)?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 2*v + 5, 4*o - 1 = 4*v + 3. Suppose 7*u + 1 = 8*u. Let p(x) = -1. Let j(m) = m - 1. What is o*p(s) + u*j(s)?\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k**2 + 3*k**2 - 5*k**2)*(-37*k + 392*k + 3120*k) in the form l*k + n*k**2 + t*k**3 + o and give t.\nAnswer: -6950","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -541 or -50234\/93?\nAnswer: -50234\/93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000009631 to seven decimal places.\nAnswer: -0.0000096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 + 20. Let u(a) = -8*a + 17. Let k(l) = 17*l - 33. Let n(x) = t*k(x) - 13*u(x). Let f be n(11). Which is smaller: 32 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351188*m - 351269*m = -3240 for m.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2352)\/(-1848))\/(1\/(-22)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1781331000 to the nearest one million.\nAnswer: -1781000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -33274 or -33269?\nAnswer: -33269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(-7)\/((-21)\/(-12)). Let f(w) = w**2 - 4*w + 5. Let m be f(s). Solve 0 = l - m, -p = 2*p - l - 7 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 8 = -4*i, g - 10 = -4*g + 5*i for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 169\/234*-6*18\/(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14012 + -11324?\nAnswer: -30341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 83*c*h**3*l + 2*c*h**3 + 2*c*h**2*l + 1256*c*h + 13*h**3*l - 2*h**2 wrt h.\nAnswer: 498*c*l + 12*c + 78*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -85, -46, 21, 122, 263?\n\"Answer: f**3 + 8*f**2 + 8*f - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -13, -0.4, -0.1?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1771622918 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c - 3*c + 3*c)*(0 + 2*c + 0)*(-10*c**3 + 2*c**3 + 4*c**3).\nAnswer: 24*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -61 + 93. Suppose -3*d - u = -5*k, -3*k = k + 5*d + 4. Let s = 17 - k. Calculate the remainder when s is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20685939 - 0.64523?\nAnswer: -20685939.64523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4 = -2. Let r be (-3 - -2)*10\/o. Suppose -3*u - 5 = -2*b, r*b = -4*u + 2*u - 16. Is -3 smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7808204221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 12 = -4*q, -4*f + 7 = -3*f - q. Let w(t) = 280*t**3 + 4*t**2 + 1 + 283*t**3 + 6 - 564*t**3 + 5*t. Calculate w(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6 + 3 + 1)*(-3 + 6 - 1) + 0 + 1 - 4)*(m - 3*m + 3*m).\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o**3 - 5*o**2 + 5*o + 6. Suppose -a + b - 5 = 0, 2*a + 5 = 4*b - 7. Let u be z(a). What is the greatest common factor of u and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.4, -3, -38\/55, 590?\nAnswer: -38\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 14, 15, 16, 17, 18?\n\"Answer: m + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*l**4*u*x - 2*l**2*u*x - 174*l*u*x - 3*u*x + 126*u + x wrt l?\nAnswer: 8*l**3*u*x - 4*l*u*x - 174*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-15) - (-874)\/95. Let d(i) = 33*i - 107. Let y be d(x). What is the greatest common divisor of y and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)\/(sqrt(6)*2) - sqrt(30))\/sqrt(5))\/(sqrt(75) - -4*sqrt(75)*2).\nAnswer: -sqrt(2)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15547, 28138, 40731, 53326, 65923?\nAnswer: 78522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + -1 - 52\/(-24). Which is smaller: v or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 343*l - 6 = -169*l - 4 - 2 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 8:54 AM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*t = 17*t + 1638. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -48.958 + 49. Round h to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7879 + 1?\nAnswer: 7880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -10. Suppose -l*y + 6 = -3*g, 0 = 3*g + g + 4*y - 8. Suppose g = 4*b + 53 - 133. Is 13 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 + -1)*2*2. Factor -150 + y*x**3 + 9*x - 24*x**2 + 150.\nAnswer: x*(4*x - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 728940735?\nAnswer: 3, 5, 101, 193, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 822776656 a multiple of 1962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of 9*t**7\/70 + 3*t**6\/20 - 23*t**5\/20 + t**4\/2 + 2*t**3 + 16*t**2. Determine a so that i(a) = 0.\nAnswer: -2, -1\/3, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4*8\/(-240) + (-219)\/(-45). Suppose -q + 3*q - 28 = -4*o, c*o + 2*q = 33. Solve -1 = 2*a + o for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 0)*-17 - -1. Let c(p) be the second derivative of p**3\/6 + 15*p**2\/2 + 2*p. Let f be c(-11). Solve 4*h - 4*b = b - z, f = h + 3*b for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 29 - 11 = 0. Suppose 14 = -2*o - a. What is the remainder when (o + (-4)\/4)\/(-1) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**2\/g)**(1\/8)\/((g\/g**(7\/2))\/g**38) assuming g is positive.\nAnswer: g**(325\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/7936 and 75\/3872272?\nAnswer: 61956352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 11 - 1 = 0. Let c(p) = -p**2 - 3*p. Calculate c(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**3 - 5*h**2 + h - 2. Let i = -11 - -13. Let j(z) = -z**2 + z**3 + 12*z + 4*z**i - 1 + 2 - 13*z. Suppose 3*v - 6 = 9. Give v*j(b) + 3*n(b).\nAnswer: -b**3 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.9 - 1.1. Let x be 8\/(-6) - (-40)\/120. What is the third smallest value in t, x, -13?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5634609 is divided by 5634608?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 72 - 71.99868. What is m rounded to 4 decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 c when two letters picked without replacement from {c: 5, x: 3, g: 1, z: 9}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 312540214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -15*88\nAnswer: -1320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-217)\/(-49) - 8\/(-14)) + -13. What is the third biggest value in q, -0.3, 4\/3, 1\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.1, 13, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**5 + 3*b**5 + 2*b**5 + 4*b**5 + 0*b**5 + 3*b**5 + (-3*b + 3*b + b)*(-5*b**2 + 5*b**2 - 3*b**4).\nAnswer: 7*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m - 4*m**2 + 0*m**2 + 8*m**2. Let v(o) = -o - 2*o - 4*o + 2*o + 7*o**2. Let g(q) = -10*t(q) + 6*v(q). Let j(u) = -3*u. Calculate g(j(k)).\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 120 - 124 = 4*n - 256, 16*j - 20 = 21*j for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 3*t - 14, -t - 4*t = -3*f - 5. Let l = 4574 + -3941. Is l*1\/(t + 5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.101769383 to 4 dps.\nAnswer: -0.1018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -43114 + -41?\nAnswer: -43155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 321\/22, 0.042, 1 in ascending order.\nAnswer: -6, 0.042, 1, 321\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a millimeter in micrometers?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**3 + 10*z**2 - 11*z + 6. Let y be o(4). Let p be y\/4 - (-98)\/(-28). Let h(b) = 4*b + 1. Give h(p).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.894163 to one dp.\nAnswer: -7.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -5*i**8\/336 + 15*i**5 + 904*i**2. Find the third derivative of z(l) wrt l.\nAnswer: -300*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -122 + 127. Calculate the remainder when 94 is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1640.09 nanograms in grams?\nAnswer: 0.00000164009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbumbmddbbdudmmbmbb. What is prob of picking 2 m, 1 u, and 1 b?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0*y = -73. Let t = 61 + y. Does 24 divide 3 + 31*t\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3117*r**3 + 2*r**2 + 4*r + 8. Let a(w) = 4850054*w**3 + 3113*w**2 + 6226*w + 12452. What is -2*a(g) + 3113*j(g)?\nAnswer: 3113*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1259 is divided by 105?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(171) - 2*sqrt(171)))\/(-3*sqrt(225)) - 2*(5*sqrt(19)*-1*6 + -1).\nAnswer: 2 + 898*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 163795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/4))**(-4\/27)\/(z**(-2\/21)*z*z**(-2\/5)))**(-4\/25) assuming z is positive.\nAnswer: z**(2048\/23625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 376210*j - 376214*j - 36, 0 = 3*u + 2*j + 10 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w + 4929 - 4929.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34\/7, 6, 369.\nAnswer: -34\/7, 6, 369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 1188140 and 13069538\/11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 57 + -48 - (-7 - 2) - 53\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 207, 2\/5, -24, -0.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*r**2 + 211400*r - 3079442?\nAnswer: 4*r + 211400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 0*m - 8 = 0. Suppose -p - 5 = 0, -m*h + 3*h - 8 = p. Suppose 0 = n - 3*n + 6. Solve 0 = x - 0*x + 3*f + h, -3*f + n = 3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 322 - 558. Suppose -2*o - 254 = 688. Let u = q - o. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p**2 + 4 - 4)*(-28*p - 4*p - 8*p + 31*p + 71*p + 31*p**2) as d*p + k*p**4 + l + h*p**3 + i*p**2 and give h.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i + 66. Let d(p) = -p. Let s(n) = 2*d(n) - y(n). Let r be s(-22). Factor 2\/5 + r*j**2 + 3\/5*j - 1\/5*j**3.\nAnswer: -(j - 2)*(j + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 19004940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/2))**48*v**(-6)*v**6)**(-26) assuming v is positive.\nAnswer: v**624","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1640 (b) -1.419 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 <= 76953?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) -5 (c) 3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -254, 4, 695, -2, 2 in ascending order.\nAnswer: -254, -2, 2, 4, 695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3330*o - 3338. What is z(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 7*p - 5713 = -2*t, 2*t - 28605 = -5*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 634.8236cm to nanometers.\nAnswer: 6348236000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = f + 4*i, 0 = -f + 5*f - i + 178. Let p = 87 + f. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 10*q**2 - 111*q**3 - 812 + 810 + 110*q**3. Let w(a) = a**2 - 1. Determine -i(f) + 2*w(f).\nAnswer: f**3 - 8*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -5*v + 2. Let m = -36 + 34. Let a(k) = -4*k + 1. Let s(c) = m*g(c) + 3*a(c). Give s(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 657213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61 + -59. Suppose -q*i + 16 = -0*i. Is i a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - s = 5*x + 12, -5*x + 2*s = 8. Let n(r) = -2*r**2 - r - 1. Let p be n(-1). Let u = 2 + p. Solve x = -u*h - h + 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7284, -6231, -4478, -2025, 1128, 4981, 9534?\nAnswer: 14787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1145 = 17*u - 1315 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 28*i**3 - 62924*i**2 - 442344*i + 1136160 = 0.\nAnswer: -9, 2, 15780\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(3\/2 - 2). Suppose f + f = 10. Suppose f*y - 8 = -4*n, -4*n - 5*y = n - 10. Calculate the greatest common factor of n and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27742081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 95\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 0.5. Let u = 7492 + -7491.5. Which is the closest to 1\/5? (a) -3\/8 (b) v (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**3 - 76*w**2 + 65*w - 73. What is the units digit of l(38)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 279930 and 87360?\nAnswer: 116450880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**2. Let q(n) = -5273*n. Calculate x(q(w)).\nAnswer: 55609058*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2973, 143, -26, 4 in increasing order.\nAnswer: -2973, -26, 4, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 727*o**4*z - 766*o**3*z - 2*o**2 - 4*o*z + 7*z + 2073 wrt o.\nAnswer: 17448*o*z - 4596*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15303 + 8594. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 3*y**2 - 5*y - 10. Determine q(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, m: 1, j: 4, n: 3, o: 1, p: 6}. Give prob of sequence mp.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 - 1 - (1 - 4) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.311642 and -0.4?\nAnswer: 0.1246568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 4:51 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33419842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 176995.287 seconds?\nAnswer: 0.2926509375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 3*l - 32, 40 = -9*f + 4*f + 5*l. Let p(u) = 3*u - 5. Let x(n) = n - 3. What is f*p(d) + 7*x(d)?\nAnswer: -5*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4ac (base 16) to base 4.\nAnswer: -102230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49166 divided by 13.\nAnswer: 3782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 166, 3\/4, -5, -4, 2\/9, -2998?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2700 and 108.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101341 (base 5) to base 4.\nAnswer: 310102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -116*t + 379 + 549 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*x = 6, -6*u + 2*x - 1 + 19 = 0. Find w, given that 0 + 1\/7*w + 1\/7*w**4 + 3\/7*w**2 + 3\/7*w**u = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 6. Solve -2*v = -f*v + 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10791 + -10794. Put 2, 3, -371, s, -4 in decreasing order.\nAnswer: 3, 2, s, -4, -371","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/70*60\/(-45)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 0 = -v - 2*f, -2*v - 3*f = -10. Suppose -v*u = 6, 0 = -4*b + u + 36 + 67. Suppose 2*s = b + 197. What are the prime factors of s?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1323696.17322 - -3.\nAnswer: 1323699.17322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f - 8*f - 3 + 1 - 1. What is the units digit of s(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128180 divided by -32045?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -6.4. Let q = 0.7 + b. Which is bigger: -6\/7 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/2)\/(x\/(x*x**(-2)))*(x\/(x\/x**(-1\/8))*x)\/x**(1\/2))\/((x**(-1\/3))**(2\/49)\/(x**(-1\/5)*x*x**3\/x)) assuming x is positive.\nAnswer: x**(9929\/5880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 105 - 69. Let m be (-135)\/z - 2\/8. Is m equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/(-280)*77\/22?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 - 2*z + 3. Let o be h(3). Let k = 0 + o. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a*y**5 + a*y**4 + 41045*a*y + 18551*y**2 wrt y.\nAnswer: -20*a*y**3 + 12*a*y**2 + 37102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 1\/49 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201 (base 5) to base 13.\nAnswer: 3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 + 3*k**3 - 4465*k**2 + 4465*k**2 as r*k**3 + i*k**2 + u + c*k and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 227.99999809 - 228. Round y to 7 decimal places.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - l - 1. Let h(c) = 10*c**2 + 5*c + 1. Let f(p) = -h(p) - 3*u(p). Let r(j) = j**2 + j - 1. Determine -f(x) - 2*r(x).\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w - 5. Let b be f(-4). Let z be b\/(1\/3) + 5. Suppose -13 = -z*a + 3*s + 16, 0 = 4*s + 4. Solve -1 + a = -3*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7492647 and 876.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -24*n + 6*n + 72. Solve 3*c - a + 9 = 13, n*c = -2*a + 22 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 3*k + 1687967*j - 1687969*j, -4*k + 4 = -3*j for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 15 = 9. Let s be (-2)\/(-4 + x) + 1. Suppose -4*v - 3*n + 65 = -2*v, s*v = -4*n + 66. List the prime factors of v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18059 = 1518*w + 69985 for w.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 3:59 AM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 2:19 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 461 is divided by 404?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p + 2*p + p + (-2*p - p + 6*p)*(1922 - 4196 + 1871) to v*p + r and give v.\nAnswer: -1202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*x**3 + 5*x**3 - 8*x**3)*(2*x**2 + 0*x**2 - 3*x**2) + x**5 + 0*x**5 - 2*x**5.\nAnswer: -6*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/11, 0, 6, 1, 24\/37?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ts when two letters picked without replacement from stytstsstttsttttts.\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + x - 6 = 0. Let k be (-16)\/10*(-5)\/x. Suppose 0 = -z - 2*w + 13, 29 = -z + 4*z + k*w. Which is smaller: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -77, -149, -217, -281, -341?\n\"Answer: 2*i**2 - 78*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.8*-388.\nAnswer: -2250.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 50*g + 2947. Give b(-59).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3955.\nAnswer: 5, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k*k**(-4\/13))))\/k)**(-18)\/(k*(k*k**(-23)*k*k)\/k*k\/(k**(-1\/30)*k*k)) assuming k is positive.\nAnswer: k**(10337\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g + 12. Is k(6) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -215 + 413. Let x be 3*5*(-35)\/(2275\/(-78)). Calculate the highest common factor of u and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -159, -3, 403, 1179, 2445, 4321, 6927?\n\"Answer: 20*x**3 + 5*x**2 + x - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -244686901 - -244686410.999803. Let d = 0.5323 + 489.4677. Let z = i + d. Round z to 5 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in sixty-seven fifths of a microgram?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-5.83688.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of 97*z**8\/112 - 25*z**5\/12 - 358*z**2. Find the third derivative of s(d) wrt d.\nAnswer: 17460*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 3\/(8\/544*6)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 2*t - 0*j - 34, -2*t = -3*j - 38. What is the remainder when 38 is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -1 + -5 + (-97)\/((-4074)\/(-252))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -4, 3, -18, -2, -77 in decreasing order.\nAnswer: 3, -2, -4, -18, -21, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 6*k - 2*w, 56*w + 17 = -5*k + 53*w for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 80.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 4*q**2 - q + 5. Let w be b(4). What is the derivative of w + 5*a - 3*a - a wrt a?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a meter in centimeters?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11502\/5 - 12\/5*v**2 - 46011\/5*v = 0. Calculate v.\nAnswer: -3834, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -5, 105155, 2.\nAnswer: -5, -4, 2, 3, 105155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 532 and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.09943 years in centuries?\nAnswer: 0.0909943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by -1648454?\nAnswer: 19\/1648454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/30*(-12)\/(-4). Let u = 14631 - 14629. Factor 0 - 6\/5*g**u + 4\/5*g + v*g**3.\nAnswer: 2*g*(g - 2)*(g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -47.9 in -2, 1, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-36 + (-20)\/(-4))*(-3 - -2). Solve 28 = k + l for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/16680 and -69\/14.\nAnswer: 116760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oyooodyyooyoyyydyoo. What is prob of picking 1 y and 3 o?\nAnswer: 56\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3.959 and 4417?\nAnswer: 4413.041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129578347?\nAnswer: 19, 6819913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/(u*u**(2\/9))*u)\/((u\/(u*u\/u**4))\/u))**(-22))**(2\/35))**(-43) assuming u is positive.\nAnswer: u**(-20812\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of 0*y + 4\/15*y**5 + 0*y**3 + 0 + 2\/3*y**4 + 1\/30*y**6 + 22*y**2. Solve q(l) = 0 for l.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*d**2 + 41 - 41 + (-1 + d + 1)*(-2*d + 4*d + 0*d).\nAnswer: 29*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 3*y + 4. Let k be o(3). Suppose -k*z + 40 = -0*z. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6))\/(99\/(-2079)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 66 + -98. Let d(u) = -3309*u**2 + 52*u + 80. Let n be d(a). What is n rounded to the nearest one hundred thousand?\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.4 (b) -0.5 (c) -9 (d) 7 (e) 3.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2 + (4*((sqrt(99) + 1 - sqrt(99)) + 2)*6)**2.\nAnswer: 5178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 - -14. Let j = -15\/164 - 6955\/164. What is the common denominator of (-78)\/m + 1\/(-4) and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 906 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*x**2 - 4*x**2 + x**2 - 10*x**4 - 7*x**2 wrt x.\nAnswer: -240*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1361*t**5 + 14*t**3 + 107362*t**2 wrt t.\nAnswer: -81660*t**2 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 636\/132 + 2\/11.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 2 - 2)*(-2*t + 4*t + 2*t + (0 + 3 + 1)*(t + 2*t - 2*t) + 3*t - 3*t - t).\nAnswer: -14*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of 0*t**3 + t**2 + 0 + 0*t + 1\/280*t**6 + 13\/56*t**4 - 1\/10*t**5. Find m, given that z(m) = 0.\nAnswer: 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 266164295?\nAnswer: 5, 31, 317, 5417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 3512048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 10 = 5*q. Let n be q\/5*(3 - -2). Suppose 5*u + 40 = 5*d, -n*d + 2*u - 23 = -3*d. Is d a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 5*h + 2*h)*(-h**3 + 2*h**2 - 25 + 25 + 2*h).\nAnswer: 4*h**4 - 8*h**3 - 8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 743 * 0.2\nAnswer: 148.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/80 and -149\/240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 473 a factor of 51315617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06672 - 6.\nAnswer: -6.06672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 22*t - 6. What is the units digit of x(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**1\/t)\/t)**(-3))**(-28)*((t**0)**31)**(2\/63) assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 585 greater than or equal to 219889\/375?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -780*p - 1955*p - 2022 - 280 - 417 with respect to p.\nAnswer: -2735","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 divided by -48687?\nAnswer: -65\/48687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -496.877947 to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6018 - 2940. List the prime factors of r.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1922427651 minus 5?\nAnswer: -4.8077572349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 f when four letters picked without replacement from dfdd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -89 + 41. Let u = t - -47.8. Which is the nearest to u? (a) 1\/3 (b) -5 (c) -10\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand 92*m**5 + 21*m**5 - 11*m**5 + 0*m**5 + 2*m**5 - 5*m**5 + (-3*m + 3*m - 2*m**4)*(4*m + 0*m - m).\nAnswer: 93*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2, 28 = -5*d - 4*x + 9. Let g be 1 + (d - -3 - -2). Suppose 4*b = -3*a + 9, -3*a = -b - g*b + 15. Sort 7, a, 1 in decreasing order.\nAnswer: 7, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 2*h - 83 = -73, 0 = -2*a - 8*h + 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 380 is divided by 83?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of 2*r**5\/35 + 2*r**4 - 118*r**3\/21 + 30*r**2\/7 + 134. Solve h(n) = 0 for n.\nAnswer: -30, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.87*-261478.\nAnswer: -488963.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1643652 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84859 = 6*v - 18557. Suppose -17*h + v = 4469. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*v = -4*f - 65*v - 21, -3*f = -v - 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 291 = -c, 241 + 74 = -c - 2*z. Which is smaller: c or -303?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 379*d = 2*y - 378*d + 7, y - 31*d - 281 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*t - 16 - 48*t + 207*t - 4*t**2 - 43*t.\nAnswer: -4*t**2 + 7*t - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.2 + -41.2. Let i = 966 + -1002.3. Let y = i - a. What is the smallest value in -0.1, -0.2, y, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1975145802 - -6\nAnswer: 6.1975145802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/25 + 2)*(-10)\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 6\/5, -6001 in increasing order.\nAnswer: -6001, 2\/3, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence crk when three letters picked without replacement from {r: 1, y: 3, c: 4, b: 1, t: 2, k: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9947.4487 - 9950.66573606. Let d = -224.21686306 - n. Let m = d - -221. Round m to five decimal places.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -740.19 + 740. Which is the nearest to 0.1? (a) -2\/5 (b) p (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5079 divide 3051346383?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 116042?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 14*v**2 - 34*v - 17. Is x(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-678)\/(-40)*(4048\/132 - 32))\/((-3)\/(-15)).\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -8*u - u + 10*u. Let l(t) = 3*t. Calculate y(l(h)).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 6 = -2*g + o, g = 5*o + 1. Let s = -5 + 5. Let i = -272 + 271.6. Which is the fourth smallest value? (a) 3 (b) g (c) s (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 102022100212?\nAnswer: 102022100221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 57 = -57. Let y(m) = 9*m + 6. Let g(b) = 2*b + 24. Calculate the smallest common multiple of y(w) and g(0).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j\/(j\/(j**3\/j*j)))\/j)\/j**7*j\/(j*j**3)*(j\/(j**(-8)\/j*j))\/j*j*j*j)**14 assuming j is positive.\nAnswer: j**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6776925304 from -352.\nAnswer: 6776924952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 285, 2\/9, -1 in decreasing order.\nAnswer: 285, 28, 2\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 138 + (-13 - 62) + -110.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 - 3 + (-2 + 1 + 0)*(0 + 3 - 5))*((7 - 2 - 2)*(l + 0*l + l) - 20*l + 17*l + 14*l).\nAnswer: 85*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -192361 - -304458. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1548125.\nAnswer: 5, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*c + 3*c**3 + 14*c + 2 + 5*c - c + 3*c**4 to the form d*c**4 + u*c**2 + j*c + z*c**3 + r and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 200 and 500?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5*(-3 + (-36)\/(-10)). Suppose -6*r + r + 75 = 5*s, 0 = -5*s + z*r + 51. Calculate the remainder when 47 is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4020 and 120.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 14222 - 14232 = -2*f, 2*c - 25 = -5*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -5*v**2 - 201*v - 3. Let m(r) = r**2 + r + 1. What is -k(y) - 4*m(y)?\nAnswer: y**2 + 197*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14687\/12 + 3674\/3. Factor 9\/4*n + p*n**3 - 9\/4*n**2 - 3\/4.\nAnswer: 3*(n - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*2)\/((-194)\/(-873)) + (-36)\/12.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 5*b + 0*b)*(0 + 2 - 1) - 50 + 50 - 72*b.\nAnswer: -74*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 2*h**2 - 3*h + 2. Let f be l(3). Sort -5, 3, f, 4 in ascending order.\nAnswer: f, -5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -295107 and -295107 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 49\/206?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 165 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -101000000 (base 2) to base 14\nAnswer: -18c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 286*s + 369. Calculate the remainder when 567 is divided by c(-1).\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*j - 108, 2*z - z - 162 = -3*j. Let u(d) = d**3 + d + 14. What is the remainder when j is divided by u(0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -323 - -581. Let w = -145 + n. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -18, -4, -1 in increasing order.\nAnswer: -18, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 3\/7*x**4 - 1\/7*x + 3\/7*x**2 - 13\/21*x**3 - 15 - 4\/35*x**5. Suppose l(j) = 0. Calculate j.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 124441\/120 - 1037. Let f(c) be the third derivative of 0 + 7\/6*c**3 - 7\/24*c**4 - 4*c**2 + 0*c + s*c**6 + 7\/60*c**5. Give f(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*x + 34*x - 15. Which is the closest to 2\/3? (a) 0 (b) x (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1938 - 23381\/12. Calculate the common denominator of (48\/(-288))\/((-280)\/216) + (-4)\/20*2 and v.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -2, 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27 - -43) + (-28 - -13) - -20.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2. Let p = -77\/2 - -39. Let k(r) be the first derivative of 0*r + 1 - p*r**2. Calculate k(x(c)).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 15734127, 31468251, 47202373, 62936493, 78670611, 94404727?\n\"Answer: -k**2 + 15734127*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2797?\nAnswer: 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -7647133?\nAnswer: -7647127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8 - -9) + (0 - -4). Suppose 2*k + u - 35 = 0, 0 = -k + 2*u + 5 + d. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 29*v + 19. List the prime factors of k(62).\nAnswer: 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6 - -3)\/(4\/(-4)). What is z in -240*z**4 - 3*z**3 - 240*z**4 + g*z**5 + 477*z**4 + 3*z**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q**3 + 14*q**3 + 11*q**3 - 197*q**2 - 27*q**3 to j + f*q + d*q**3 + y*q**2 and give y.\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -4. Let w(j) = 9*j - 3 - 10*j + 4. Let g(h) = -q(h) - 4*w(h). Let b(p) = p. Let k(v) = 7*v. Let t(z) = 6*b(z) - k(z). What is t(g(f))?\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, -2, -8, 2, 0, -1430.\nAnswer: -1430, -8, -2, 0, 2, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 106, 88, -5.\nAnswer: -5, 1, 4, 88, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/sqrt(64) + 1 + sqrt(2299))**2.\nAnswer: 45*sqrt(19)\/2 + 38491\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x. Let w(u) = 3*u. Suppose 3*f + 65 = 4*b + 14, 0 = 3*f + 5*b + 51. Let q(h) = f*z(h) + 6*w(h). Let p(v) = 2*v**2. Calculate q(p(s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 - -24. Let r(d) = 3*d. Let x be r(-1). Sort x, w, 4 in ascending order.\nAnswer: x, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.391 + -0.3528. Let g = 291.9618 + h. Let o = 291.9611 - g. Round o to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 381\/(-42) - (5 + -13))*-6. Let k = 233\/2 + -114. Which is the closest to 0.1? (a) -2\/11 (b) m (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 56\/(-16) - ((-4)\/(-8) - 1). What is the smallest value in -0.4, 4\/3, 0, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0377368573 to four decimal places.\nAnswer: -0.0377","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*t - 9 = t, -3*t - 9 = g. Suppose -5*j = -2*y - g*y - 27, -j - 27 = 5*y. Let u be (28\/(-21) - (-3)\/9) + 3. Put -1, u, y in descending order.\nAnswer: u, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1011111000011001 (base 2) to base 9\nAnswer: -73672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232955466.\nAnswer: 2, 3, 19, 131, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/45)\/((-55)\/45 + (-2)\/(-9)). What is the nearest to 530 in 0.2, -3, k, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 87233786, 174467578, 261701370, 348935162?\n\"Answer: 87233792*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-29151025)\/75 + -22)*(-4 + 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.1 - -0.9. Let x = 1.33 + -1.5. Let r = 0.03 - x. Sort b, r, 1 in increasing order.\nAnswer: b, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -2. Suppose -a = 2*c - c - 72, -5*a + 283 = l*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 322*f**2 - 17*f + 7375. Calculate n(322).\nAnswer: 1901","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13905?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 170 - 115. Is 11 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 2:39 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.49 and -1470810.\nAnswer: -1470809.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + (-76)\/10)\/((-44)\/110).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 18*d**2 + 24*d - 72. Let u be w(19). Suppose -22*g = -u*g. Solve g = 4*s - 13 + 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 1 + 5. Suppose 5*s - 32 = 4*k - k, -2*k = v*s. What is the remainder when 18 + 0 + (-16)\/k is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 4*v + 418 + 129, 3*v = -15*t + 2769. Solve 91 = 46*p - t for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/8, -5\/4, 6, 7.881, -5\/3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3695419 and 273.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12394 = -5*d - k, d - 3*k - 1849 - 633 = 0. What is the remainder when d is divided by 249?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -2. Let w = 5 - i. What is the greatest common factor of w and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.328 - -4.467. Round q to zero decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**4\/3 - 70*x**3\/3 + 787*x**2\/3 - 1064*x\/3 - 640 = 0. Calculate x.\nAnswer: -80, -1, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 4:24 PM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 1:29 PM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 711 - 726. Let m(f) = -29*f - 202. What is the hundreds digit of m(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, t: 1, g: 1, k: 1, b: 2, i: 2}. Give prob of sequence gg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 6*u**3 + 113*u**2 - 305*u + 2481. Give a(-22).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39114564 divided by -6.\nAnswer: -6519094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 7*h + 13. Let a be i(-9). Sort 2, -0.29, a, 0 in descending order.\nAnswer: 2, 0, -0.29, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 328 - 326 + d + 41174*d**2 - 14*d + 18*d**3 - 41177*d**2 to the form k + u*d + g*d**2 + j*d**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.8 and -35.34.\nAnswer: -34.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v + 35. Calculate w(9).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of n**7\/30 + n**4\/8 - 97*n**3\/6 - 14*n**2 + 2*n. What is the first derivative of c(j) wrt j?\nAnswer: 28*j**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 805\/(-92) + 10*44\/55.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -108*v - 961. Calculate the remainder when l(-12) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/24*36)\/18*30\/((-3)\/3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 63107 + -21792. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 165 + -40. Suppose 0 = -5*y + 69 + 56. What is the greatest common divisor of o and y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 36222103*r**2. Let x(t) = t**2. Calculate x(h(k)).\nAnswer: 1312040745742609*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lg when two letters picked without replacement from grllzrrrkrl.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/(-6) + 2\/(-8). Let v = -2 - z. Let s(k) = -4*k**2 + 2*k - 1. Let g be s(1). What is the nearest to v in g, 2\/5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 473091, 473060, 473029, 472998?\n\"Answer: -31*z + 473122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2596 or -4\/3?\nAnswer: -0.2596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*t - 339 = -2*o, -15 = -5*t. Does 28 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((340\/(-72))\/17)\/((-65)\/(-52)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 95006 to the power of 1\/2, to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -5*l. Let i(x) = -154*x + 43128. Determine h(i(q)).\nAnswer: 770*q - 215640","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 76 + -10 + -127?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 + 33. Let s = 36 - 20. Let o = s + -15.95. Which is the nearest to 0? (a) o (b) n (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 526457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1963483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 100*-3\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**5 + 3*x**5 - 5*x**5 + (-2 - 2*x + 2)*(-6*x**4 + 2*x**4 - 4*x**4) + 0*x**5 + x**5 + x**5.\nAnswer: 19*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + -11 + 6 - 7 - (20 - 1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*i + 1 - 1 + 44*i.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kto when three letters picked without replacement from {t: 1, n: 4, b: 1, k: 4, o: 5}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 0.022 (c) 1\/4 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -307929.5 rounded to the nearest 1000?\nAnswer: -308000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70453?\nAnswer: 47, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**2*v**12\/v*v assuming v is positive.\nAnswer: v**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**3 + 9*f**3 + 0*f**3 + (2 - 4 + 1)*(2*f**3 + 0*f**3 + 0*f**3) to r + d*f**3 + j*f**2 + x*f and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -8. Let q = d - 16. Is 3\/(-6) + (-3)\/q - -15 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 13784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3160059, 3160036, 3160011, 3159984, 3159955, 3159924?\nAnswer: 3159891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -74370 divided by -37\nAnswer: 2010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7200 + -50404\/7. Suppose 2*z - 9 - 7 = -3*i, 0 = 2*z + 4*i - 20. Which is the biggest value? (a) 3 (b) z (c) p (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*z + 33*z - 424*z + 76968 = 652*z for z.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -5) + 1 - ((-92 - -20) + 104).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 6*x = -11*x, 5*y + 4*x = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -345 - -856. Suppose 3*t - i = -5*l + 935, 0 = t - l - 490. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -5, 0.2, -4, -14\/9?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*u - 2739 - 4753 = -43*u + 1292 for u.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 314, 689, 1290, 2135, 3242, 4629?\n\"Answer: 3*k**3 + 95*k**2 + 69*k + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.331 rounded to one decimal place?\nAnswer: 5.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2787163*x**4 - 6315915*x?\nAnswer: -33445956*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9 (b) -0.4 (c) -150 (d) -2\/3 (e) -4\/3 (f) 5 (g) -9\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 + 21. What is the nearest to 0 in w, 6\/7, 3?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4979 + -4956. Calculate the remainder when 8761 is divided by s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 18*y**2 + 21*y. Let w(r) = r**2 + r. Let l be (-122)\/61*(9\/3 + -4). Calculate l*u(v) - 42*w(v).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uiupippppduuuudiu. Give prob of sequence ddpi.\nAnswer: 1\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(76) - (sqrt(76) + -1) - sqrt(76))*4 + -4*((0 + sqrt(76))*3 - sqrt(76)) + -1)*3)**2.\nAnswer: -26496*sqrt(19) + 705177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15 - -320.\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23 - ((-24)\/(-6) + -3)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (96\/21)\/4. Let s = -122 + 123. What is the closest to s in -16\/7, z, -0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**19)**(-3\/2) assuming r is positive.\nAnswer: r**(-57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -48 - -70. Suppose 5*f - h + 2 = 0. Solve 0 = -5*s + f + 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011111011 + 101?\nAnswer: 1100000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3768 and 2355.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 750 = -8*k. Let a = k - -150. Let i(r) = -r**2 + r - 1. Calculate i(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 200 - 10*z**3 + z**3 - 15*z**3 + 25*z**3 to the form q*z**3 + u*z + v*z**2 + i and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(2 + -3)*(0 + 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-14\/5))\/y*y**(-2\/7) assuming y is positive.\nAnswer: y**(88\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 5 + 2*b + 4*b - 4*b. Let s be w(-4). Let j be (-55)\/(-15) - 1\/s. Let a(n) = n**3 - 5*n**2 + 5*n - 2. Calculate a(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - 1. Let u = 14.1 + -27. Let w = u - -13. What is the biggest value in w, k, -0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - 5*q + 5*q)*(10 + 7 - 5)*(-5*q**3 + 0*q**3 + 7*q**3).\nAnswer: -48*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -139, -275, -389, -475, -527, -539, -505, -419?\nAnswer: -275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/(6\/(-3)))\/2. Let d(t) = -2*t**2 - 5*t - 4. Let g be d(-3). Let j(x) = x + 3. Let m be j(g). Put 4, r, m in ascending order.\nAnswer: m, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 5 + 14 + -124 + 17 - -9.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -37743 (base 12) to base 8\nAnswer: -223143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/1240 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4a88 + -41377?\nAnswer: -46354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s + 7*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3705 is divided by 49?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 440354 = -14*x + 10334980. Let p = x + 66241. Round p to the nearest ten thousand.\nAnswer: 770000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14307 - 14368.28. What is m rounded to the nearest integer?\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c + 9. Let b be h(6). Suppose b*r = -r + 8. Suppose 2*p = -r*s + 16, 4*s - 5*p - 32 = -0*p. Is s a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-1))**(-1\/9)*i*i\/(i*i**(2\/5))*i**(-8)\/i)**(-2\/55))**(-6\/7) assuming i is positive.\nAnswer: i**(-1492\/5775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -h - 2*h - 6, 0 = 4*j + 2*h - 24. Solve 4*x = -t + j, 0 = 5*x + 3*t + 2*t for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.2 (b) 5 (c) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and -321974497.\nAnswer: -321974492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -17765 divided by -323?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4.2 and 517.6065836.\nAnswer: 513.4065836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -355 + 291. Let l be (-3)\/(12\/b)*(2 - 0). What is the highest common divisor of l and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -4*b + 3. What is the greatest common divisor of 80 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 - 65. Let c be (u - -19) + 1 + -2 + 6. Solve 0 = -4*w - 2*w + c for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/425 and -139\/2800?\nAnswer: 47600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p**31*p)))\/p**(1\/8) assuming p is positive.\nAnswer: p**(255\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 79 - -76. Let a = y - 93. Let s = a + -61.38. What is s rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-6) + (-16)\/(-6). Let m be 8550\/1125 - 2\/(-5). Solve -r + m = l, 0 = 2*l + 3*r - a*r - 13 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 3*a - 17 = 0, c - a = a - 9 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 4*l**2 + 3*l - 1. Give h(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 10:30 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*p**2 - 21*p**2 - 24*p**2 - 2*p**2 - 5*p**2 + 5*p**2 + (3*p + 2*p - 4*p)*(p - 5*p + 2*p))*(-2*p + 2*p + p)*(-3 + 2 - 1) + 3*p**3 - 2*p**2 + 2*p**2.\nAnswer: 127*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/(-45) - (210\/(-54) + 4)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v + 3. Let g(l) = -4*l + 10. Suppose -2*o = -5*q - 60, 2*o - 29 = 3*q + 11. Calculate q*h(m) + 3*g(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -8. Suppose -s + 88 = l*s. Suppose -5*h - 7 = -s. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (121\/((-14883)\/164))\/(12\/99)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -228 equal to -233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1422, 1385, 1326, 1245?\nAnswer: 1142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1353083*a - 2*a**3 + 1352793*a - 2705876*a.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -126066?\nAnswer: -126066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*s + 5*s - 74910 - 24584.\nAnswer: 43*s - 99494","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l + 5*l**2 - 4*l)*(-3*l**3 + 2*l**3 - l**3) - 4*l + l + 2*l - 2*l**5.\nAnswer: -12*l**5 - l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 2*r + 34, 230*r - 90 = 5*g + 235*r for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2651*x - 2660*x + 9 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 198 - -15119537900.\nAnswer: 15119538098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3458276 to the power of 1\/3, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47323565.\nAnswer: 5, 9464713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**5 + 4 - 4 + 394*r - 394*r + 45*r**5 + (-3 + 0 + 4)*(-2*r - r**5 + 2*r).\nAnswer: 42*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {e: 2, f: 9, b: 2}?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -5\/3*w**3 + 0 + 2\/3*w**4 - 155*w + 5\/2*w**2 + 1\/20*w**5. Give d(-9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30.6 + 34. Let b = 3 - w. What is the third smallest value in 1, 0.1, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 10*q**2 - 3*q - 18. Does 54 divide v(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 756.9861 + 0.0139. Let r = -756.6 + f. Which is the third smallest value? (a) -0.5 (b) -6 (c) r (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-40122)\/24)\/(-9) - (-13)\/52?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*n + 82*n - 52*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1028149614 to the power of 1\/2, to the nearest integer?\nAnswer: 32065","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2768*c**3 + 2906*c - 2907*c + 101 + 40 wrt c.\nAnswer: 16608*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-63)\/162*(-4)\/7)\/(30\/(-990))?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 6) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 15, 39, 79, 135, 207, 295, 399?\n\"Answer: 8*d**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 378596 (base 10) in base 9?\nAnswer: 636302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**20*o)\/o**10*(o**(-23)*o)\/(o\/o**(-3\/2)) assuming o is positive.\nAnswer: o**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-140)\/105 - (-4 - 56\/(-20))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.31, -3, -1\/7, 3, -3\/32, 1\/2 in decreasing order.\nAnswer: 3, 1\/2, -3\/32, -1\/7, -0.31, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290 is divided by 145.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10284 is divided by 469.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 404250134?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3796.\nAnswer: 2, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162957 is divided by 4071.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24813 = 14*r - 24701 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 3*t + 20, 2*t = 3*i - 0*i + 7. Let y(o) = 2 + 2*o**2 - 1 - i. Calculate y(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 19 = -b, 0 = 2*m + m + 5*b - 1. Let y = 7 + m. Let f be -2*y*(-1)\/2. Which is smaller: f or 2\/13?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 224 and 13344?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in 9, -0.5, 1\/4, -1\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/7))**(10\/11)\/(a\/a**3*a**2\/a))**(-19\/4) assuming a is positive.\nAnswer: a**(-1843\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 7*g + 2. Let c(y) = 51*y + 15. Let i(z) = -2*c(z) + 15*o(z). Let r(a) = -14*a**2 + 2. Determine r(i(j)).\nAnswer: -126*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (140\/(-28))\/((-10)\/(-28)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 + -16. Let x = -14.3 + v. Put x, 4\/7, -0.05 in increasing order.\nAnswer: x, -0.05, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**2\/4 - 8115138*v + 16230275 = 0?\nAnswer: 2, 32460550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-5*(-3 + 2*sqrt(325) - sqrt(325)))**2.\nAnswer: -18750*sqrt(13) + 208750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/6 - (-1 + -4). Suppose w - 14 = -3*p + c*p, -4*w + 17 = -3*p. Let n be (p\/(-12) - 1)*-4. Solve n*v - 2*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2080)\/90 + 21 + 2\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 900841.2 centimeters in millimeters?\nAnswer: 9008412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3276 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 4:42 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n**2 + n**2 + 0*n**2)*(-4*n - 2*n + 3*n) + n**3 - 3*n**3 - 2*n**3 to the form b + g*n + z*n**3 + p*n**2 and give z.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 0.3, -5, 1 in decreasing order.\nAnswer: 14, 1, 0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53\/(-106)*((-4)\/(-1))\/(1\/(-4)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-7)\/(0\/(-3) - -1))\/(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 3, -8 in decreasing order.\nAnswer: 5, 3, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)\/sqrt(5) + -3 + -5 + sqrt(20))**2 + (sqrt(80)*2 - (-2*sqrt(180) + sqrt(5))).\nAnswer: -29*sqrt(5) + 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -988 + 1000. What is the remainder when 95 is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*c - c + 0*c + 0*c - c + 2*c + (-2*c + 0*c + 0*c)*(2 - 1 + 1) + (4 + 1 - 3)*(0*c - c + 2*c) - 3*c + 5*c - c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/138 and 41\/792?\nAnswer: 18216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62502, 62492, 62476, 62454, 62426, 62392, 62352?\nAnswer: 62306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 2*w**2 + w. Let p be b(-1). What is the closest to -6 in -2\/5, 0.1, p?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 12 = 3*d. Does 4 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**5\/7 + 26*y**4\/7 - 204*y**3\/7 + 440*y**2\/7 - 304*y\/7 = 0. What is y?\nAnswer: -19, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of 2*g**7\/21 + 22*g**6\/15 + 4*g**5\/5 - 64*g**4\/3 - 64*g**3\/3 + 160*g**2 - 609*g. What is x in l(x) = 0?\nAnswer: -10, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 11:13 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 287641*g - 7. Let m be r(7). Let d = 788432 + m. Let z = 1301912 - d. Round z to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of 5*m**4\/2 + 184*m**3\/9 + 49*m**2 + 12*m - 889. Factor h(a).\nAnswer: 2*(a + 3)**2*(15*a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 105426915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 104 (b) 0.1503 (c) 2\/9 (d) 179\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 0.3, -46.69, -71.\nAnswer: -71, -46.69, -1\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 378 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1*n*n)\/n)**(-43)*n**(-1)\/n**(2\/3) assuming n is positive.\nAnswer: n**(-263\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hiakakalhaael. What is prob of sequence akll?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90*1*(7\/(504\/(-6)))\/((-1)\/4).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-3) - (-32)\/(-12). Let q be ((-6)\/9)\/(1\/j). Suppose q*n - 2 = 20. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 45 + (12 - 27).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (387\/180)\/(3\/5). Let s = v - 7\/3. Let u(k) = -12*k + 3. Let n be u(0). Which is the biggest value? (a) n (b) 2 (c) -2\/3 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*l**5 + 29*l**5 + 5*l**5 + (-3*l**4 + 0*l**4 + 2*l**4)*(-4*l + 2*l + 0*l).\nAnswer: 49*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 63320 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 3:36 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 48 = 9*r, s + 23 = -4*r + 4*s for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 1 = -b. Let h be b*(-6)\/4*2. Calculate the greatest common factor of h and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t + 7 - 2 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2389, -4778, -7163, -9544, -11921, -14294?\nAnswer: -16663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 159*u**2 + 5*u - 2. Let f(t) = -t**2 + t + 1. Let y(o) = -3*f(o) + j(o). Suppose -p - 3 = i - 6, -5*i + 8 = -2*p. Is y(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) 6\/5 (c) -7 (d) -1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -137 + -10. Let i = a + 146.999939. What is i rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0071103478 to four dps.\nAnswer: 0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in 3, 155, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1433 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 203322033 (base 4) in base 6?\nAnswer: 3052543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9016 and 5880.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8811?\nAnswer: 3, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3814151 rounded to 2 dps?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -25*u - 98. List the prime factors of y(-19).\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h + 20. Suppose 8*v - 11*v = -18. What is the remainder when -41*(0 + -1 + 0) is divided by b(v)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 10*v**2 - 5*v + 7. What is the remainder when r(-10) is divided by (-30)\/(-2) + (0 - 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-50)*(-320)\/(-256)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -2*w - k, 4*w + 3*k = -0*k - 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 330 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**3 + 2*o**3 - 12*o**3)*(2 - 1 + 1) - o**3 + o**3 - o**3.\nAnswer: -15*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 299*o - 318*o - 5 - 1 + 4 as b*o + d and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -55, 32, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 12) + 17 + -15?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 18*g**2 + 62*g + 26. Let k(b) = -b**3 - b**2 - b - 3. Let a be k(0). Let q = a + 7. Calculate the lowest common multiple of q and x(21).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/6 + 2029*s**2\/6 + 170896*s - 515736.\nAnswer: (s - 3)*(s + 988)*(s + 1044)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -74290, -594386, -2006082, -4755178, -9287474, -16048770, -25484866, -38041562?\n\"Answer: -74300*b**3 + 4*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 + 1 - 1)*(-7*r + 3*r + 2*r) + r**3 - r**3 + r**4 - 35*r**4 + 18*r**4 + 21*r**4 + (5 + 0 - 4)*(-r**4 + 2 - 2).\nAnswer: 2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -6808e?\nAnswer: -6808e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 5*j**2 + j + 3. Let p be g(-5). What is the units digit of 1\/(-2)*p + (-296)\/(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2260931*y**2 - 2260937*y**2 + 4521868*y**2 + 15*y**3.\nAnswer: 15*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/709? (a) 0 (b) 1 (c) 267\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*m = -100*m + 5*o - 3, 0 = -2*m + 4*o - 2. Sort -8, m, 3.\nAnswer: -8, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 32?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2 = 0, 0*f = -3*m + 4*f + 82. Let u = -3956 + 3971. Let w(h) = 8 - 2*h + u - m. Let b(z) = -2*z**2. Calculate w(b(t)).\nAnswer: 4*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -75*a**5 + 13860*a**4 - 10752*a**3 - 53232*a**2 + 44208*a - 8832 = 0.\nAnswer: -2, 2\/5, 2, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 8*g - 2. Let f be c(8). Let u = f - -7. Let p = u + -4. What is the nearest to -0.1 in -1\/9, p, -0.3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 326\/(-104) - (203616\/(-1152))\/101\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {d: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8443, -18927, -29415, -39907, -50403, -60903, -71407?\n\"Answer: -2*f**2 - 10478*f + 2037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -151443 rounded to the nearest one hundred?\nAnswer: -151400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2*u**2\/5 + 421914*u\/5 - 168764 = 0?\nAnswer: 2, 210955","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 10*m**2 + 25*m + 16. Let n be u(-12). Let x = -28 - -28.2. Which is the nearest to -1? (a) -2 (b) n (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 773*u + 24742. Determine x(-32).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 1, -1, 4.\nAnswer: -1, -1\/3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - (sqrt(19) + 1))*-4 - (sqrt(1216) + (sqrt(1216) + sqrt(1216)*3 - sqrt(1216))))**2.\nAnswer: -256*sqrt(19) + 19472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 67.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t - 8 - t**2 + 2 + 9. Calculate o(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/144040 and -98\/3078855.\nAnswer: 24630840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22.22 - -67.66. Round t to zero dps.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3171, -3450, -3727, -4002, -4275?\n\"Answer: h**2 - 282*h - 2890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/5 - 1)*(-125)\/(-50). Let v be (-10)\/10*((-1 - f) + -4). Find m, given that -m + 1\/2 + 1\/2*m**v = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-7))\/(6\/(37 - -5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 119.1 - 119.2. Does -41\/44 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 1 - -3) + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1439424 divided by 6\nAnswer: -239904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 402 - 399. Which is the nearest to 0? (a) 1\/3 (b) -1\/13 (c) 1 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/16*-4)\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.01, -0.0427, 0.4, 0, -1\/4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 143 + -11. Let w = g + -131.947. Let t = w + -0.0530023. What is t rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 449139?\nAnswer: 3, 149713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fppfpfpppppffpppppp. Give prob of picking 2 p.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.13, -5, 1, 0.1 in increasing order.\nAnswer: -5, 0.1, 0.13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*m + 3*m + 4*m)*(-4 + 2*m + 4) + (-3*m + 0*m + m)*(-22*m + 8*m + 8*m) to q*m + w*m**2 + i and give w.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (77\/(-11))\/(5 - 6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -94950 + 0.425575218?\nAnswer: -94949.574424782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/8 + 546\/208. Suppose -2*v + 24 = -4*b, -v + 6*b - y = b. Calculate the least common multiple of 30 and v.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -182, -2, 6, 2, 16.\nAnswer: -182, -2, 2, 6, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 7*g**2 - 3*g. Determine f(2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 124 + -622\/5. Suppose 2*f - f = -13. Let k = f - -17. Which is the closest to 0? (a) i (b) -0.1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002134 rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -300546 or -300405?\nAnswer: -300405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2*v**5 - 258*v**4\/7 + 1720*v**3\/7 - 696*v**2 + 4896*v\/7 = 0.\nAnswer: 0, 17\/7, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**2*y**3 - 3*g**2*y + g**2 - y**3 + 3375*y**2 - 4*y + 723 wrt y.\nAnswer: -12*g**2*y - 6*y + 6750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -62*n + 165. Let h(f) = -247*f + 663. Suppose 0 = -q + 4*q + 6. Let u(l) = q*h(l) + 9*i(l). What is the first derivative of u(g) wrt g?\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q + 0*q + 0*q + 3*q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 29044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (860 - (17 - 16)) + (0 - 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*((sqrt(110) - -5*sqrt(110)*-1) + sqrt(110)))\/(sqrt(100)\/(sqrt(10) + sqrt(80)\/sqrt(288))))**2.\nAnswer: 13475\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2178.419 meters to micrometers.\nAnswer: 2178419000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 34*u**2 - 3. Let v(i) = -i**2 + 1. What is d(k) + 2*v(k)?\nAnswer: -k**3 + 32*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 194.2, 2, -0.02, 0.042 in descending order.\nAnswer: 194.2, 2, 0.042, 0, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g + 2 - 21 + 4 + (2*g - 2*g + 3*g)*(4 + 1 - 3).\nAnswer: 4*g - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3240 = 4*k - 4*a, 5*k - 2*a + 3*a - 4056 = 0. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbb. What is prob of sequence bbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 24 = 9*u. Let k be u\/(-24)*24\/(-34). Which is bigger: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n + 17. Suppose 3*c + 2*k = -c - 70, 4*c - 2*k = -74. Let i be f(c). Sort 3\/7, i, 0.4, -3.\nAnswer: -3, i, 0.4, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61.9 + -62. Sort -5, p, -1.3 in increasing order.\nAnswer: -5, -1.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 50*z + 599. Determine c(-22).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 5, 0.3, 4, -3.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 26*x - 23*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1518\/18 + (-2)\/(-3)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkfbbkbkbbkkkkkbj. What is prob of sequence kbf?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 5*n + 5, -6*w = -w - 15. Let c(h) = 2*h + 6. Let y be c(-4). Let m = y + n. Solve 5*q + 10 = -5*u - m*u, -5*u + 3*q + 30 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 11:17 PM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2495 is divided by 207.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 6 + 3)*(-175*h + 2617*h - 2210*h - 1980*h) in the form d*h + o and give d.\nAnswer: 1748","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v\/v**(2\/3))\/v*v*v)**(-32)*(v*v**(2\/13)*v)\/v**(4\/3) assuming v is positive.\nAnswer: v**(-960\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 - 1)*(-21 - 1 + 0)*(4*y**2 - 3*y**2 + 2*y**2).\nAnswer: -330*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -17*a - 53. Suppose 3*v + 5*g = 6*v + 8, -2*g = -2*v - 8. Let t be p(v). Suppose -50*w + 251 = -t*w. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109501.\nAnswer: 7, 15643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 3:34 PM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 1645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**2 + 319 + 337 - 656.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -178\/5 + 358\/5*g + 2\/5*g**3 - 182\/5*g**2.\nAnswer: 2*(g - 89)*(g - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 8*a**2 - a + 8. Let u be o(8). Suppose -i + 5*q + 591 = u, -2715 = -3*i - 5*q - 882. Suppose 0 = -7*h - 235 + i. Is 29 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110122 + 1012111101?\nAnswer: 1012000202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -7 - 3. Let c be ((-6)\/4)\/(1081\/(-46) + 23). Solve 0 = 5*f + 2*o, y*f + c*f = 2*o for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6017 - 3963. Is 2054 at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*n = -17*n - 2, -5*b - 4*n + 16 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*q + 2*q - 5*o, 0 = 5*o + 5. Let n(t) = -t**2 + q - 3*t + 0 + 4. Let b be n(-3). Let d(h) = -h**3 + 4*h**2 + 2*h - 6. Give d(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -9. Is 24\/13 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3.9 (b) 3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -9 - 0 - (42 + -13 + (21 - -1)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4425066 (base 8) to base 15\nAnswer: -187ad9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1560*z + 34 = 1564*z + o, -z + 58 = 3*o for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 120*b + 295*b**2 - 59*b - 61*b to the form r + a*b + v*b**2 and give v.\nAnswer: 295","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -0*x - 2529. Let t be x\/(-63) - (-1)\/(-7). Suppose -6*j = -2*j - t. Calculate the greatest common divisor of 40 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131 (base 8) to base 14.\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**36\/((k*k**(-11\/4))\/k) assuming k is positive.\nAnswer: k**(155\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 2*l**2 - 5*l - 6. Let j be w(6). Let u = 3 - 5. Let k = j - u. What is k rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10932 - 10929. Let b = 9 - 3. Solve -u = -m*u - b for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 - q**3 - 2*q**4)*(-5*q + 2*q + 2*q) + 8*q**5 + 34*q**2 - 34*q**2.\nAnswer: 10*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 10 = -15*r, 3*h - 21 - 2 = 4*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 478\/70 + (-9)\/21. Let w be 5\/(-75)*-72 + 10*(-2)\/5. Suppose j*h**4 - 12\/5*h**5 - 32\/5*h**2 + 0 - w*h**3 + 16\/5*h = 0. Calculate h.\nAnswer: -1, 0, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1234907210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -109, 35, 515, 1523, 3251, 5891?\nAnswer: 9635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 24*-0.1164\nAnswer: -2.7936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -5, 2, 1\/3, -49?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 8:26 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0126? (a) 4 (b) -11 (c) -1\/3 (d) 0 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.3 - 1.6. Put 3\/2, -5\/3, p in increasing order.\nAnswer: -5\/3, p, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51 - -53. Let t be 5\/(-45) - s\/(-18). What are the prime factors of (-153)\/(-4) + t - (-18)\/24?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - 2*2\/4. Let j be -5*(g + (-32)\/(-15)). Which is the closest to -2? (a) j (b) -0.1 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1123 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-12.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.117285073 rounded to three decimal places?\nAnswer: -0.117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*i**2*l + 39*i**2 + 3*i*l + 71*i + 2*l wrt i.\nAnswer: -48*l + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -0.3, 4, 100903, -2.6, 9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -25*p - 3. Let w(f) = -3*f + 5. Let y be w(4). Let r(k) = k**2 + 6*k + 7. What is the lowest common multiple of u(-1) and r(y)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 12449, 4, 79?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 2*j + 8, -7*i + 2*i = 2*j - 13. Suppose 0 = i*h - 7 - 2. What is the second derivative of 2*a - 11*a + h*a**5 - a**5 wrt a?\nAnswer: 40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -12*c**2 + 61. Let t(o) = -12*o**2 + 4*o**2 + 3*o**2 + 4*o**2 + 2*o**2. Calculate u(t(w)).\nAnswer: -12*w**4 + 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqrzqhzq. What is prob of picking 1 h and 2 z?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 115439*i**3*z + 8356*i**2*z + 2*i*z wrt i.\nAnswer: 692634*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213561 is divided by 904?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -97498904 take away 15971?\nAnswer: -97514875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j - 3. Let l(y) = 39*y + 39. Let o(f) = -2*l(f) - 27*x(f). Let c be o(-3). Let u = 0 - c. Calculate the greatest common divisor of 3 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35857723 is divided by 147.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12908*m**2 - 5845*m**2 - 2158*m + 1082*m + 1076*m.\nAnswer: -18753*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.89 - 0.9259. What is x rounded to three decimal places?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2486*j + 0 + 2361*j - 434*j - 1 - 1162*j)*(-j + 3 - 3).\nAnswer: -3251*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 7*o**2 - 10*o - 16. Let y = 17 + -25. Let k be i(y). Suppose -p = -0*r + r - 68, k = p - 4*r - 63. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 565913390 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 178023?\nAnswer: 534069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1122 + -2210211?\nAnswer: -2211333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -40*u. Let g(i) = 36*i. What is g(k(s))?\nAnswer: -1440*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4*z + 7. Let j be t(-5). Suppose 0 = -5*y + 3*w + j, -1 = -4*y + 2*w + 19. Solve 4*s = -3*v + 32, s = 5*v - y*s for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 86*g*m**4 + 592*g*m**3 + 2*g*m**2 + 152*g*m + g + m + 102 wrt m?\nAnswer: 1032*g*m**2 + 3552*g*m + 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -210.62311 - 4256.16.\nAnswer: -4466.78311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**2 - 7*c + 43. Let v be o(6). Suppose -82*w + 216 = -v*w. Calculate the greatest common factor of w and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1512060*d - 856420*d**2 + 856449*d**2 - 1512060*d.\nAnswer: 29*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14*d**2 - 3*d**2 + d**2)*(d - 5 + 5) - d**3 - 2*d**3 + d**3 - 2*d**3 + 2*d**3 + d**3 to the form b*d**3 + m*d + y*d**2 + i and give b.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + 7*v + 7. Let w be h(-7). Suppose 12 = -4*f, 5*i = -2*f + w*f + 125. Suppose -5*m - 4*k + 57 = 0, 4*m - k - i = 32. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -313 + 1?\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) 2.46 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 g when four letters picked without replacement from {g: 2, p: 4, u: 3, x: 2}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rylylryaylr. What is prob of picking 2 l?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + (1 + -2 - -5). What is the second derivative of g*y**3 + 7*y**3 + 34*y - 9*y**3 wrt y?\nAnswer: 36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 103.6 - -6.4. Let m = -118.3 + t. Which is smaller: m or -0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122101100 + -1?\nAnswer: 122101022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/(-528))\/(741\/627)?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -73 + 114. Let u = 120 + -77. Let o = u - y. Solve -o = -i + 4*j, 4*i + 0 = -j - 9 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -9*y - 5, 7*y + 99 = 4*w. Calculate the remainder when 153 is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 2 - -1) + (2 - 4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.075 and -2091.\nAnswer: -156.825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -131*p + 3. What is the hundreds digit of n(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 3)*(-65*r**2 - 4*r**3 + 65*r**2 + (-2*r + 0 + 0)*(r**2 - 1 + 1))*(12 - 1 + 2).\nAnswer: -156*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*o - d + 180, 0 = 3*o - 4*d - 148. Let a = -14 - -26. Calculate the highest common divisor of o and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1))**(-21\/4)*(l*l*l**(2\/9)\/l*l*l*l)\/l*l**(4\/7))\/((l*l**(2\/17))\/(l**(1\/5)\/l)*((l*(l*l*l\/(l*l**5)*l)\/l)\/l)\/(l*l**(-1\/2))) assuming l is positive.\nAnswer: l**(227609\/21420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*p**4 - 6*p - 2035 + 26*p + 3184 + 10*p - 13309 wrt p.\nAnswer: 40*p**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 + (-17 - -4 - -12 - (-3 + -7))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 5*x**5 + 35*x**4 + 30*x**3 = 0.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -7. Let y be -25 - (w + (-3)\/3). Let r be y\/(-1*(2 - 1)). What is the greatest common divisor of 5 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 254.846 and 1.7.\nAnswer: 433.2382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4*a - 52 = 0, 0 = -5*u + a + 4*a + 75. Let y be (-18 - -14)*2\/(u\/6). Let g(n) = -2*n**2 + n - 4. Calculate g(y).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 + 6585*g + 41.\nAnswer: 6585*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*x**4 - 539 - 2*x + x**3 - 7*x**2 + 540 + 4*x to the form j*x + r*x**4 + z + w*x**3 + f*x**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1692, -1698, -1704, -1710, -1716?\n\"Answer: -6*m - 1686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 7 = h. Suppose -5*f + 33 + h = 0. Suppose l + 8 = f. Solve -l*s - 18 = 3*o, -27 = -0*o + 3*o + 5*s for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-29811)\/(-114) - 3\/2. What is the greatest common factor of 850 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5336 and 103031490?\nAnswer: 1334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 4, -3, -11, 0, -2.\nAnswer: -11, -3, -2, 0, 4, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 403 divide 33473180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -633117.681 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 65765518?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n. Suppose 4 = 281*k - 279*k. Let y(v) = -894 - v**2 + 894 - v**k. Give y(s(h)).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 291, 1197, 2723, 4881, 7683, 11141?\n\"Answer: 2*j**3 + 298*j**2 - 2*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -463*u + 8939. Determine q(23).\nAnswer: -1710","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, k: 1, m: 3}. Give prob of picking 1 k and 3 l.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 378335 and 2125?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -473 + 238 + 6*u + 300 as l + j*u and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 45 = 4*q. Let i = -12 - q. Suppose -4*d = i*w + 5, -3*d - 2*w - w = 6. What is the lowest common multiple of 6 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.15 + 3.85. What is the smallest value in -2, 0, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29183*r**6 + 60*r**4 - 25266893*r**2 wrt r.\nAnswer: -3501960*r**3 + 1440*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - (-3)\/((-9)\/(-114)). Let z = 40 - v. Calculate the lowest common multiple of z and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 10816785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-3)*(-9)\/(-2). Let y = d - -13. Suppose -5*k + 3*k - 22 = -y*j, -4*j - 2*k + 2 = 0. Calculate the highest common factor of j and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 231841, 465314, 698787, 932260, 1165733?\nAnswer: 1399206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2*h**3 + 9431166*h**2 - 56586942*h + 84880386 = 0.\nAnswer: 3, 4715577","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 264109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eof when three letters picked without replacement from eaaffpoofaooab.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97067 - 60*x + 97067 - 4*x + 7*x - 48*x.\nAnswer: -105*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15.97302 + -0.02698. Which is greater: 6\/277 or t?\nAnswer: 6\/277","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 74\/72 - 18\/(-81). Let p = 0.266 - -0.034. Which is the nearest to 0? (a) 0 (b) m (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.112 + 0.16. Let g = t - 3.048. Let s be (-4 - -3)\/(2\/(-14)). What is the nearest to 0.2 in s, 4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 20 = 0, -4*h - 2*r + 2 - 4 = 0. Let t = -98 + 75. Let u(f) = f**2 + 25*f + 46. Let l be u(t). Put -6, h, l in descending order.\nAnswer: l, h, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 - 15 = 3*v + w, 2*v + 170 - 202 = 13*w for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-6*(sqrt(99) + 2 + sqrt(11) + (sqrt(55) + sqrt(495))\/sqrt(5)))**2.\nAnswer: 1152*sqrt(11) + 25483","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 166 - 167. Let z(d) = 4*d**2 - d. What is z(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37 - 17. Let q(s) = -2*s**2 - 9*s + 34. Let y be q(6). Let v be (-8)\/(-20) - y\/j. Solve -5 = -4*m - 4*x + 3, -v*m - 3*x + 16 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*o - 553199 = -551527 for o.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 214*t + 4207. Calculate y(-22).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1675483 - 1739143 = -1061*h for h.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - w + 3. Let l be a(0). Suppose -l*u - 5 = -t + 9, 3*t + 4*u = 3. Solve 0 = -3*z + 5*d + 2, d = -t*z + 3*d + 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4742793*u**3 + 139*u - 2649 wrt u?\nAnswer: 28456758*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2 - 39\/(-18)) + 658\/12 is divided by 47?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -5*((-6*(sqrt(320) + -2) - (sqrt(320) - sqrt(320)*3)*-4) + 4))**2.\nAnswer: -85120*sqrt(5) + 1573776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 2*b - 22, c - 2 + 4 = 0. Suppose 2 - 22 = -2*h + 4*l, -b = 2*l. Solve -4 = 4*f + h for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64592 and 6798?\nAnswer: 19958928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 t when two letters picked without replacement from aaeaaatatantjaeh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -9*a - 32. Let u(h) = -h**2 + h + 6. Let f be u(4). Let g be x(f). Calculate the common denominator of -85\/42 and (-1 - g\/(-54))*45\/30.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p - 2*w - 16, -4 = -p - 6*w + 3*w for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3145 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/18*27\/(-36). Determine l so that d*l**3 + 0 - 2\/3*l**4 - 2\/3*l + 2\/3*l**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 507.52 and -20?\nAnswer: 527.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15916 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(2)*-2 - sqrt(16)\/sqrt(2))**2 - (sqrt(242) - 3*sqrt(242)*-2).\nAnswer: -77*sqrt(2) + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10.6? (a) 0.072 (b) 0 (c) -3\/2 (d) 1\/3 (e) 3.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20*(-4)\/16*-1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -18. Suppose o + 18 = -x, 4*x = 5*x + 5. Put 3, m, 5, o in ascending order.\nAnswer: o, m, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -q**6\/9 + 2*q**5\/5 + 5*q**4\/3 - 398. Let j(n) = 0. Calculate n.\nAnswer: -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -76 - 133297b?\nAnswer: -1332a24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - f + 37218, 229*f - 224*f = -o + 18591. List the prime factors of o.\nAnswer: 37, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -569030 rounded to the nearest one thousand?\nAnswer: -569000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88028 is divided by 53?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -103, 5, 1, -5, -109, 2 in descending order.\nAnswer: 5, 2, 1, -5, -103, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight thirds of a year?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = v - 4. Let w(t) = -5 - 5 + 12 - 3 - 2*t. Let l be w(v). Which is bigger: -1\/5 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o - 15. Let i be w(11). Let j be i\/(-8) - (-27)\/6. Let y(m) = -7*m**2 - 1 + m**2 - m**2 + 6*m**2 + 2*m. What is y(j)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**3 + 6*l**3 - 2*l**3 + 2*l - 2*l + l**3 + (l**3 + l**3 - l**3)*(2 - 1 + 1) + 86*l + 6*l**3 + l**3 - 5*l**3.\nAnswer: 6*l**3 + 86*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 6*o**2 - 59*o + 432. Determine p(-13).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p - 3*p + 0*p)*(5 - 3 + 0 + 0 + 3 - 1 + (0 - 3 + 1)*(-1 + 0 + 2)) in the form v + h*p and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 - 40.2. Sort 4, p, 2, -1\/3 in ascending order.\nAnswer: -1\/3, p, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 2*c = 18, -12 = 2*w + 449*c - 447*c for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 78\/11 + -523\/66. Let m = -0.019 - -0.119. What is the second smallest value in r, m, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -9*p**3 + 4*p**2 + 4*p - 24. Let i be k(4). Let s be (-6)\/45 + 3868\/(-15). Let u = s - i. Does 41 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 639677880 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 35 = 40. Let y = o - -5\/4. Sort y, -1\/3, -0.2 in descending order.\nAnswer: y, -0.2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2488*r**3 + 2*r**2 - 40*r + 40. Let s be b(5). Round s to the nearest ten thousand.\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.6, -1\/5, 0.3 in descending order.\nAnswer: 0.3, -1\/5, -2.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -0.027, 0, 2\/13, -0.1, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/(-2) + 2\/(-4). Let f = s - 4. Suppose -2*v - 122 = -126. Solve -f*w - 5*h + 14 = -h, 5*w + v*h = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 906 is divided by 65.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, g: 9, v: 4}. What is prob of sequence gggg?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*k = -101, -g + 2*k = -4*g + 289. Suppose 4*r + 35 = m, -2*m - 2*m + r = -g. List the prime factors of m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -17, -3, 3.28, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of 2*y**4\/3 - y**3\/6 + 114*y. What is p(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 222 (base 11) to base 9\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -5076*u - 7963. Is o(-85) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -6*w**2 - 4*w + 13. Let o(i) = -5*i**2 - 5*i + 13. Let a(t) = 4*d(t) - 5*o(t). Let h be a(2). Solve 4*s - 2 = 10, -k + h = 4*s for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 102*a**2 + 17*a + 16. What is i(-1)?\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 65777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 44723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -0.9. Let h = -2.7 + 3. Let w = h + t. Sort 3, -2, w.\nAnswer: -2, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -73*b + 4. Let a(k) = -73*k + 5. What is 5*a(f) - 6*j(f)?\nAnswer: 73*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3082567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87 = -41*q + 95 + 238 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that n**3\/7 + 2628*n**2\/7 - 26364*n\/7 + 42208\/7 = 0.\nAnswer: -2638, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0\/4)\/8)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 209968921*p*w + 5584724*p + 1 wrt w?\nAnswer: 209968921*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 0 = 6. Suppose -i + 36 = v*i. Calculate the remainder when 17 is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(2*(-4)\/8). Suppose -2*r - 8 = 0, 3*u + r - 5*r - 19 = 0. Which is smaller: u or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (62 + -9)*(-1)\/(-44)*-1 and -67\/10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 177 - 419\/2. Let v = -1081 - -3214\/3. What is the common denominator of o and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (207*d - 1080*d + 416*d)*(d - 3 + 1 + 4 + (1 + 0 + 1)*(-4*d + d + 5*d)) to the form o*d**2 + i*d + z and give i.\nAnswer: -914","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*z + 495 = 53*z - 165. Solve -4*x + j + j = z, -3*j = -3*x + 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2011*k - 2010*k - 1719 - 1026 + 663 to the form z*k + a and give a.\nAnswer: -2082","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of 0*y**4 + 0*y + 18*y**2 - 10 + 0*y**3 + 0*y**5 + 5\/3*y**6. Find the second derivative of r(n) wrt n.\nAnswer: 200*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 9974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-4 + 6) - 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v**3 - 81*v**2 + 10*v - 7. Let y(f) = -5*f**3 + 144*f**2 - 20*f + 13. Let m(i) = -7*d(i) - 4*y(i). Calculate m(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*m - 2*m**3 + 18513 - 13*m - 9*m**2 + m.\nAnswer: -2*m**3 - 9*m**2 - 2*m + 18513","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -4*g**3\/3 - 4*g**2 - 6*g. Let s(j) = j + 1. Let b(a) = a**2 - 13*a + 1. Let i be b(13). Give i*r(n) + 6*s(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -309.0574 to zero dps.\nAnswer: -309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 11*q - 3. Let v(s) = 52*s - 14. Let z(w) = -14*n(w) + 3*v(w). Calculate z(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -1.5 (c) -1\/12 (d) -2\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -228 - -240 - 20\/(-2). Let q be (-26)\/(-1 + 0 - 0). Let h = q - a. Solve b = 1 + h for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15950 + -15949. Suppose -3*f + 5*b = -15, -2*b - 7 = -5*f + 18. Let a(o) = -9*o**2 + 4*o + 1. Let n(w) = w**2 - w. Give f*n(g) + p*a(g).\nAnswer: -4*g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 0)*3800\/304?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1408675535 - 23*n + 1408675535.\nAnswer: -23*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61656446?\nAnswer: 2, 30828223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2 - t + 2. Let w(y) = -10*y**2 + 7*y - 45. Calculate -6*h(g) - w(g).\nAnswer: -2*g**2 - g + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 354*t - 7054 + 1000 = -655*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 3*q = 3*z - 14, -5*z - 3*q + 12 = 0. Let a(l) = -4*l + 2. Let f be a(-1). Calculate the greatest common divisor of z and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000017987 rounded to six decimal places?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 380\/90 - 2\/9. Let z(p) = p**2 - 6*p + 1. Give z(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24890501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -8 + 2 + 3 - 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*a = 18*a + 556. Suppose 4*l = -m + 42, -54 = -7*l + 3*l + 5*m. Calculate the remainder when a is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 13*r + 17. Let x be m(-11). What is the closest to -2\/3 in 2, x, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yjqw when four letters picked without replacement from {q: 5, w: 4, h: 1, j: 3, y: 1, d: 6}.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3.91, -3, -0.4, 523?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112 = -44*z + 13 - 121 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*2\/24*4. Let t be 82 + (y - (0 - 0)). Let z = -33 + t. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-7)\/7)\/(1\/(-2)). Suppose 2*b = o + 2. Suppose -4*k = -0*a + a + b, -3*a = k + 6. Solve 3 = -d - k*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -237019430*d**4 - 154*d + 738785 wrt d.\nAnswer: -2844233160*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 2*b - 10 = 0, 3*b = 32880*g - 32894*g + 28 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 23*w + 1020 = 0. Calculate the highest common divisor of w and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*f = -58599 - 2676. Is f a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/221*(2 + 15)*79.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 660*g - 368*g = 8760 for g.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (41457\/3189)\/(((3\/(-6))\/1)\/(-1))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1717*b**4 - 122*b**3 + 671*b**4 + 121*b**3 - 226*b**2 - 286*b**4 wrt b.\nAnswer: 50448*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*i**2 + 2*i + 64*i**2 + 172*i**2 - 5 - 4 + 3.\nAnswer: 184*i**2 + 2*i - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -7*n**2 - 2*n + 1. Let p be l(1). Let m(c) = -2*c - 7. What is the lowest common multiple of m(p) and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00939 rounded to four dps?\nAnswer: 0.0094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12.7 - 13. What is the nearest to -2 in -2, i, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.8 - 3.2. Which is the nearest to 0.2? (a) 0.1 (b) -6 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -160 + 162. Let 24 + 3*r + 27*r**3 - 11*r - 25*r**3 - 6*r**p = 0. What is r?\nAnswer: -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 590 - 6246 - 1978279*a**3 + 1983027*a**3 with respect to a.\nAnswer: 14244*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2 - 171*k - 504.\nAnswer: -(k + 3)*(k + 168)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 0)\/((-2)\/(-10)). Suppose -l = -0*l + 2*i - 191, y*i = 10. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-107031.607.\nAnswer: -21406.3214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8614*k + 547311 = 176909 for k.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1034 or 1045?\nAnswer: 1045","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -10045772 and -20091545\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5288 + -5168. What is the remainder when 971 is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59752, 59753, 59754, 59755, 59756, 59757?\nAnswer: 59758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -150711 (base 8) in base 4?\nAnswer: -31013021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4*j**2 - 16*j + 126. Give f(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 145746620 by -36436655.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104843864.\nAnswer: 2, 13105483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03996449 to 3 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 707424?\nAnswer: -707427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42928074?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10051\/4 + 2513. What is the third biggest value in q, 3\/94, 2?\nAnswer: 3\/94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (662 - 662 + 24*g**2)*(-49*g + 4 - 1 - 3).\nAnswer: -1176*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*a**2 + a**3 + 0*a**3 + a**3 + 23*a**2 - 12 + a**4 in the form d*a**4 + l*a + w*a**3 + x + u*a**2 and give x.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 29 = 4*l, 5*u + 3 + 2 = 4*l. Suppose 5*x - 4*j - 3049 = 0, l*x + j - 4855 = -1786. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -19. Let b(h) = 3*h - 12. Let c be b(r). Solve 0 = 4*n + 5*m + 14 + 23, -c*n - m - 14 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -18 + (4 - 0 - (18 - 26) - 16)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 11:00 AM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*d + 22 + 62 = 55*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccidsciciidisdiicbd. What is prob of sequence diis?\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: 5748 divided by 2874\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*m + 648 = -717 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 17, 34, 65, 116, 193?\nAnswer: 302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/4*-2*(-45)\/(-15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 30\/(-255) + (-10984)\/(-17). Let z = -196 - -396. Suppose -6*y + z = -g. What are the prime factors of y?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 5:01 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2451675 - -2451724.00041. Let s = r + -49. What is s rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -101 - -101.158. What is c rounded to 2 decimal places?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + h + 1)*(-15*h**3 - 8*h**3 - 35*h**3)*(1 + 1 - 4).\nAnswer: 116*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 8*c - 5. Let v be r(6). Let f(l) = -v*l + 0 + 1 + 2*l + 0. Give f(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*l**5 + 1074651*l**2 - 1024696*l + 8.\nAnswer: -360*l**3 + 2149302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -2\/9, -2\/17, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 3*y**3 - 126*y**2 + 1383*y - 1260 = 0.\nAnswer: 1, 20, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of 569*k**7\/35 - 6491*k**3\/6 + 11864*k**2. What is the derivative of c(v) wrt v?\nAnswer: 13656*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of q**6\/18 - 10*q**5\/3 + 673*q**4\/12 - 400*q**3\/3 + 96*q**2 + 8156. Factor y(h).\nAnswer: h*(h - 24)**2*(h - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - a = -274838 + 274890, -126 - 53 = -2*l + 5*a for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 286 and 462.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -15. Suppose -15 = -y + x. Suppose 5*h - y = -0*h. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/8 of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 98*x**2 - 289*x**2 - 331*x**2 + (-4*x + 2*x - x)*(-2*x - 3*x + 4*x) - x - x**2 + x in the form u*x + o*x**2 + y and give o.\nAnswer: -520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54292.\nAnswer: 2, 7, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*p**2 - 9*p**2 + 8*p**2)*(6 - 3 + 7)*(1 + 0 + 1) in the form y + u*p**2 + r*p and give u.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 424\/205?\nAnswer: 424\/205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 253?\nAnswer: 4048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/((-1785)\/(-28))*(-15)\/(-10)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 2) in base 16?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + l = 2*l - 121, w - l = -37. Let m = 211 + w. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 0, -j + 36 = 8*y - 6*y. What is the remainder when 51 is divided by y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 11:50 PM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*w**2 + 0*w**2 + 0*w**2)*(3 + 1 - 2)*(-1 + 0 + 3) to the form q + h*w + k*w**2 and give k.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 5*a + 14. Let n be z(-13). Let k = -29 - n. Suppose -3*d = -5*d + 2*i + 26, -2*i = 4*d - k. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/35)\/((-64)\/(-42))?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**4 + 40*m**2 - 41*m**2 - 58*m + 129*m + 82*m to q*m + j + f*m**2 + c*m**3 + r*m**4 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**4 - 2442*x**3 + 44570*x**2 - 42126*x = 0 for x.\nAnswer: -1239, 0, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 54343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 149499 to the nearest one thousand.\nAnswer: 149000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -2*h - 4, -4*g + 14 - 10 = 5*h for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**2 + 4*f + 4. Let j(d) = d**2 - 3*d - 3. Let b(k) = 3*k + 17. Suppose 9 = -3*w - 42. Let p = w + 10. Let r be b(p). Give r*j(a) - 3*u(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -14 - (-36 - (-43 + 61))) + 7 + -1.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -5*f - 5, 4*f - 3*c = -2*c + 5. Suppose -2*j = -3*v + 15, f = -2*j - 5*v - 9 + 34. Let m = 224 - 225. Sort m, 3\/7, j.\nAnswer: m, j, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56278.\nAnswer: 2, 19, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -o**5 + 94*o**4 - 2101*o**3 - 251*o**2 + 12095*o.\nAnswer: -60*o**2 + 2256*o - 12606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 1988 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -878, -1752, -2626, -3500?\n\"Answer: -874*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a + 15. Let f be 2\/(-12)*-3*24. Let z be t(f). Suppose -d = -35 - z. Calculate the remainder when d is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.15333, 11, 2, -5?\nAnswer: 0.15333","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1\/(-2)*-778 + -2 + 6 and 69.\nAnswer: 9039","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1065912.\nAnswer: 2, 3, 23, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -3*g**4 + 11436*g**3 - 11552346*g**2 + 1246215228*g - 35625344187 = 0.\nAnswer: 59, 1847","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/6 - (-40)\/(-6). Suppose 45 = -4*s - s + 4*d, -4*d + 25 = -s. Let x = s - f. Solve -w = 2*q + 10, q + 18 = -3*w - x*q for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -18443, -37061, -55679, -74297?\n\"Answer: -18618*g + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + 28. Is n\/6*208 + (-2)\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11 - -1)*(-4)\/10. Let t = 19 + -19. Solve t = -z*k - 3 - 13 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s\/(s*s**(2\/47)*s))**(-1\/64))**(18\/11))**(-29) assuming s is positive.\nAnswer: s**(-261\/8272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1971 and 438?\nAnswer: 3942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 57 + 43. What is p rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence di when two letters picked without replacement from {c: 1, b: 2, i: 4, m: 2, o: 2, d: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3592261308?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3*w - 5)*((2 - 3 - 1)*(2*w**2 + 0*w + 0*w) + 274*w**2 - 418*w**2 - 314*w**2).\nAnswer: 1386*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 7 = 4*b, -63*b + 61*b + 8 = 2*q. Let c(n) = -n**2 + 4*n + 7. Let u be c(5). Sort b, u, 5 in decreasing order.\nAnswer: 5, b, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 24. Let x = -7 + d. Let o = -5.5 + x. Which is the biggest value? (a) -0.3 (b) 0 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1404 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 3*x - 156 = 0. What is the highest common factor of x and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(sqrt(3)*4) - (sqrt(17)*-5*-4)**2.\nAnswer: -6800 + sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -286*j**2 + 340*j - 73. Let x(c) = 28*c**2 - 34*c + 7. Determine -2*m(o) - 21*x(o).\nAnswer: -16*o**2 + 34*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*s - 425 + 121 = 0 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in -0.5, 2\/7, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -3844.613732 to the nearest integer.\nAnswer: -3845","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/(-12) + (2 - 1). Sort t, 1\/5, -4.\nAnswer: -4, 1\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -642 + 641. Are -6\/637 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225549 is divided by 1157?\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u. Let g(t) = -48*t. Let c(r) = -20*b(r) + g(r). Let s(z) = 7*z - 8. Determine s(c(v)).\nAnswer: -56*v - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 57\/11 + 8\/(-44). Let i(m) = -2*m**3 + 3*m**2 + 3*m + 3. Let x be i(-2). Let q(c) = -c**3 + c**2 - 2. Let r be q(-2). Solve -j*o = -r*o + x for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**3 + 64*z**2 - 101*z + 36. Give w(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 l when two letters picked without replacement from {i: 6, b: 2, d: 1, l: 2}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -11179960230 less than -210?\nAnswer: 11179960020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -54*m**2 - 50*m + 6. Let b(y) = -52*y**2 - 54*y + 5. Give -6*b(k) + 5*q(k).\nAnswer: 42*k**2 + 74*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 133\/(-4) + (-3)\/(-12). Let g = h - -158. Suppose 4*u + 4*o = 64, -5*u + 4*o + g = -0*o. Is u a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/5)*(b\/(b\/((b*b**(-4))\/b)))\/b*b)\/(b**5\/b*b*b**(-1\/4)) assuming b is positive.\nAnswer: b**(-163\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1979 - 0.18?\nAnswer: 1978.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*x = -118*x - 8 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -6. Suppose -w = o - 0*o + q, -w + 4*o = -12. Suppose -2*r + r - 4*y + 20 = w, 2*y + 38 = r. Does 5 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -7550*v + 173653. Calculate z(23).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 6*t. Suppose t = 7*b + 6 - 41. Let w(c) = c**3 - 6*c**2 + 6*c + 1. Calculate w(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.271 - -0.071. Let d = 11.1 - -1.9. Let a = 14 - d. Put a, -3, r in descending order.\nAnswer: a, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8828 is divided by 301?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -7*l**3 - 108*l**2 - 290*l - 56. What is j(-13)?\nAnswer: 841","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - 762 = -13*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) - -1*sqrt(121))*3)\/(-4*sqrt(11)*1).\nAnswer: -3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 751102.4mg?\nAnswer: 751102400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35543680 divided by -187072.\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44*w**5 + 4*w**4*y - w**3*y - 98*w*y - 2*y wrt w.\nAnswer: 880*w**3 + 48*w**2*y - 6*w*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u = -20 - 13. Suppose j + 2 = s, -4*j - 7*s + 28 = -2*s. Let v be u*((-12)\/9 + j). Solve -3*b + 3*k = 12, 0 = -b - 2*k + 9 + v for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 3*i**2 + 2*i + 4. Let h be (-11 + 17)*1\/(-2). Determine r(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0641122829 - -1.014.\nAnswer: 0.9498877171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g**2 + 9*g - 10. Let k = -87 - -81. What is the tens digit of r(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 102*s**2 + 118*s**2 - 219*s**2. Let g(c) = -5*c**2 + 29*c. Calculate o(g(k)).\nAnswer: 25*k**4 - 290*k**3 + 841*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -2) + 21 - -5 - -4?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 6025?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 16*p**3 + 5*p**2 + 8*p - 18. Let f be v(6). Suppose 0*m - f = -2*n - m, n - 1843 = 2*m. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 66058.72t?\nAnswer: 66058720000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (10 - (6 + 5 + -9))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6199*g**3*s**3 - 410*g**3 + 5*g*s**3 + 3*g*s**2 - 361*g - s**3 - 4*s + 2 wrt g.\nAnswer: 37194*g*s**3 - 2460*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22.49 + 0.49. Let w = -130355.394 + 130333.3940042. Let d = w - z. Round d to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3\/1157 - 225609\/2314. Let f = l - -102. Which is smaller: 4 or f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u + 6*u + 140 = -4*u. What is the second smallest value in 90, -1, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11631199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(10\/3)*(x*x**(-9))\/x)**(-22) assuming x is positive.\nAnswer: x**(308\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29338 is divided by 933.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 583\/9 - 65. Let v = -2 + 6. Which is the smallest value? (a) -0.2 (b) v (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5120387021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 2. Let v be (-1)\/(-2) + (-30)\/(-4). Let h be (10\/(-4))\/((-4)\/v). Solve p*i - 3*d + 7 + 8 = 0, -i - 9 = -h*d for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41140 and 59030?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 143*h**2 - 4786*h - 490. Give p(171).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -282 + 310. Let t be 2 - -1 - 0 - -72. Suppose -t = -r - 4*r. What is the remainder when u is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 702413455?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7937\/62517 + 2\/1603. Is d at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 2*w + 10 + 14, 28 = 4*j - 4*w. Suppose j*v + 25 = 10*v. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*(b*b**(1\/7)*b*b*b)\/b)\/(b\/b**(-3\/4)*b))\/(b\/(b\/(b**0*b))*b*b**(-3\/5)) assuming b is positive.\nAnswer: b**(139\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n - 4. Let x be r(4). Let d = 1 + -1. Let l = d - x. Which is smaller: -2\/13 or l?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 1, -97\/44, -2 in decreasing order.\nAnswer: 1, -0.5, -2, -97\/44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 - (-39 + -7 + 16)) + -10.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 147 - 68. Let t(r) = -y - 6*r + 35 + r**2 + 43. Give t(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -9, 36, -34, 1, 60 in decreasing order.\nAnswer: 60, 36, 5, 1, -9, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -379 + 619. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, -1, 332, 3 in descending order.\nAnswer: 332, 33, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 522 and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 5*n - 15. What is the tens digit of f(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-58)\/(7\/((-42)\/(-12))).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/49 and 61\/14.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -23, 169 in decreasing order.\nAnswer: 169, 0, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aae when three letters picked without replacement from elyytyyalatlly?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 44 in 2, -2, 3\/7, 1571, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + q**2 + 9*q + 13. Let z be d(4). What is the fourth biggest value in -1\/2, 2\/9, z, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67973 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, -53, -298, -811, -1682, -3001, -4858?\nAnswer: -7343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(((k\/(k*k**(-3\/8)\/k*k*k)*k*k)\/k)\/k)*k*k)**(1\/12)*k*k**(-4)*k\/(k*(k*k\/(k*k**1)*k)\/k*k) assuming k is positive.\nAnswer: k**(-355\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 150 - 3*n + 98*n**4 + 15*n**2 + 11*n**2 - 49*n**4 - 22*n**2 - 47*n**4 as v*n + t*n**2 + d*n**3 + l + h*n**4 and give l.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -28 and -3.96?\nAnswer: 110.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1 + (sqrt(5) + -1*sqrt(5)*-2 - (sqrt(5) - sqrt(180)*1))**2 + 4.\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -6. Find the second derivative of -4 + 4 + k*i + 3*i - i**2 wrt i.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 2*s - 74, 61 + 22 = 3*c - 4*s. Let o = 23 + c. Calculate the highest common divisor of o and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6255757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 112 and 392360240?\nAnswer: 2746521680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 194927959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 9*t**2 - 11*t - 6. Calculate the lowest common multiple of 2\/(-12)*-21*2*1 and o(-10).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 15*p**2 + 38*p + 18. What are the prime factors of m(16)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-6)\/(-36)*5\/2?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -1930*a - 22256. What is f(-11)?\nAnswer: -1026","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**(1\/15)))\/q**(-2\/39)*q**2\/(q*q*q\/(q\/((q\/(q**(-1\/10)\/q*q))\/q))) assuming q is positive.\nAnswer: q**(7\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 g, 1 p, and 1 h when four letters picked without replacement from {c: 1, g: 1, p: 2, k: 4, h: 2, w: 2}.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53 + -54. Let m(u) = 40*u**2 + u - 1. What is the units digit of m(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2\/5, -5, -19 in ascending order.\nAnswer: -19, -5, -3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -179\/6630640 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*g = 4*y - 355, -5*y = 4*g - 452. Suppose y = 6*q - 2*q. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g + 28 = 7*g - 19*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*l - 70*l - 810 - 158 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 7:53 AM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 8:44 AM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of 4*l**4\/3 - 2*l**3\/3 - 7*l**2\/2 + 24*l. What are the prime factors of f(-3)?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of f**4\/2 + 2*f**3\/3 - 4*f**2 - 8*f - 41. Factor g(l).\nAnswer: 2*(l - 2)*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-16)*n)\/n*n\/(n*n**(-1\/13))*n)\/(n**(-1))**(-14))**(7\/6) assuming n is positive.\nAnswer: n**(-1316\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k + 6. Let r be s(5). Let x be 1 + -1*(r - 0). What is the first derivative of -4*a**4 + 2*a**4 + x - 1 wrt a?\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 + 0 + -231 + 251 + -31?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2210 divided by 6\nAnswer: 1105\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -18, -15, -10, -3?\n\"Answer: t**2 - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/7)*p*p*((p**(-7)*p)\/p*p*p)\/p)\/(p**1*p*p*p)**(-38) assuming p is positive.\nAnswer: p**(1035\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-8) - 77\/(-28). Let h(x) = 0*x + x - 3*x + u + 4*x. Does 5 divide h(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**2 + 21*g - 25. Let q be z(9). Let n(j) = -12*j + 31. What is the remainder when n(q) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2230316 and 22?\nAnswer: 2230316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 54*u - 49*u + 6, -u = y - 2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 3*v - 72, -k - 2 - 8 = -5*v. Let p be k\/(-6)*52\/10. Calculate the greatest common factor of p and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u + 0 - 5 + 1 - 1. Calculate the lowest common multiple of b(-12) and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/162 and 29\/270?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -7. Suppose 2*w - l = -3*x + 1, -8 = -4*w + x. Suppose -q + 17 + 12 = w*k, 0 = -2*k - 2*q + 34. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**3 + 5*z**3 - 3*z**3 + (2 + 3*z**3 - 2)*(-141 + 50 + 43).\nAnswer: -143*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) 33.85 (c) -1\/380 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -3*g**5\/10 + 25*g**2 + 43*g + 18. Let o(v) be the first derivative of u(v). What is the first derivative of o(t) wrt t?\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p**0)\/p)**(2\/91)*p\/(p\/p**(-2\/11))*p*p\/(p*p*(p*p\/p**(1\/9)*p)\/p*p))**(-1\/11))**(-5\/9) assuming p is positive.\nAnswer: p**(-1520\/9801)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 1. Let c = n + 3. Suppose -t + 5*t - 172012 = -c*k, 5*k - 3*t - 214991 = 0. Round k to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 11) to base 7\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 0 + 0*w**2 - 5 - 2*w**2 to m*w**2 + a + v*w and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29048200 divided by -11.\nAnswer: 29048200\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -11011101111101111100 (base 2) in base 4?\nAnswer: -3131331330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -97592293 or -97592291?\nAnswer: -97592293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8368056 decades in centuries?\nAnswer: 0.08368056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u + 1. Let j(c) = -6*c - 3. Let g(b) = 4*i(b) + j(b). Let q be (12\/14)\/(20\/70). Suppose 14 - 17 = -q*r. Calculate g(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -471, -952, -1433?\nAnswer: -1914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -87718997 rounded to the nearest one million?\nAnswer: -88000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*-2*1*19\/38.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + (-16 - 4 - -5) + 7?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 6*t + 3. Let b be i(-6). Let u(s) be the third derivative of -s**4\/6 + 7*s**3\/6 + 189038*s**2. What is u(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36261733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/203? (a) 1\/3 (b) -4 (c) -2\/25 (d) -9 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 19 - (16 - 19)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 393 and 1433143144?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*b + 27 - 207 = 3*r, -3*r + 20 = -17*b + 280 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 423876499?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.34218 - -0.08318. What is n rounded to one decimal place?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1038, 0.2, -119?\nAnswer: 1038","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.33 (b) -3 (c) -2 (d) -1.51 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000110100 + 10?\nAnswer: -1000110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.3422 + -148503096.\nAnswer: -148503091.6578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, 131, 305 in descending order.\nAnswer: 305, 131, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 32bb17 - -a?\nAnswer: 32bb25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -2, 13, 131, 6.\nAnswer: -2, 6, 12, 13, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 6 + -2 + -39 + 32.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 + (-34)\/17 + -11?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74984381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*w + 85*w - 240. Let h(f) = -3*f + 4. Determine h(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-1)\/q)\/q*q)\/(q\/q**(-5)))\/((q**0*q*q)\/q)**(-42\/11) assuming q is positive.\nAnswer: q**(-46\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 8 = 0, r = -19*z + 97 + 12 - 31 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2368991358?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 - 40954322.92.\nAnswer: -40954323.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j - 22. Let q be p(14). Find the common denominator of (-5)\/(400\/q)*(-16 + 4) and 41\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003951 to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32828666.2 - -17.7.\nAnswer: -32828648.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i**2 + 37*i + 192. Let s be q(-15). What is the highest common factor of 69576 and s?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 15*f**2 + 18*f + 207. Give d(-15).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vyvvqyvyxyyyxyyyvvpy. What is prob of picking 3 y and 1 v?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 4*y + 1. Let p(c) = 2*c - 1. Let j(l) = b(l) + 2*p(l). Let m be j(0). Put 5, m, 0, -5 in increasing order.\nAnswer: -5, m, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 times 150\nAnswer: -2400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.019 + 13.019. Is g less than or equal to -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -1. Let d = 6.731 + -6.821. What is the closest to 3 in 2\/9, d, h?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2862 is divided by 55?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, 2, -1, -3, 504 in descending order.\nAnswer: 504, 2, -1, -3, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 6*p**2 - 8*p + 8. Let f be n(4). Suppose t - f = 2*r - t, 2*t = -3*r - 2. Which is the biggest value? (a) 5 (b) r (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 3*z + 2. Let g = 2071 + -2068. Let m(s) = 2*s + 1. Give g*y(h) - 4*m(h).\nAnswer: 3*h**2 + h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 26, -2\/3, 0.08, -35, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5169, -10340, -15511, -20682?\nAnswer: -25853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.578 to one dp.\nAnswer: -7.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10 - 7)*-3 - -12. Which is the third biggest value? (a) -4\/5 (b) -1 (c) q (d) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 163 (base 11) to base 8.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -a + 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 158*y**6 - y**5 - 173*y**2 wrt y?\nAnswer: 18960*y**3 - 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/76 and -36\/4496065?\nAnswer: 17984260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -91?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i - 78*i**2 + 13 + 2*i**3 + 4*i**4 - 2*i**4 + 77*i**2 + 2*i**4 to m*i + o*i**2 + r*i**4 + f + j*i**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 600901 and 434.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -166104 - 2?\nAnswer: -166106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*a = 51 - 335. Solve 2*t + 4*s - 6 = 0, 0 = -t + 4*t - a*s + 31 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**32\/l*l*l**(-6)*l)\/((l\/l**(-12))\/(((l\/(l*l\/l**(-35)*l))\/l)\/l*l)) assuming l is positive.\nAnswer: l**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w. Let o(m) = -4*m. Suppose 3*n = -2*k + n, 0 = -k - 3*n + 8. Let r(f) = k*h(f) - o(f). Let u(t) = t**2. What is u(r(z))?\nAnswer: 64*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(2*-2))\/((-6499)\/388)?\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(-10\/3))\/k)\/(k*k*k**(-50)))**(-46) assuming k is positive.\nAnswer: k**(-7084\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*i - 5*i - i)*(-4 - 2 + 5) + 8*i + 3*i - 3*i)*(-i - 2*i + 7*i)*(2 - 4 + 1).\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 77907577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*l - 107*l = -34*l - 290 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/4 of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 11 - 4 = 0. Suppose -2*a + c*a - 41 = 0. List the prime factors of a.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 313*s = 315*s + 14, a = 12*s + 104. Solve -9*n - 29 + a = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 67890?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 408.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22588729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of a**7\/525 + a**6\/150 - a**4\/30 - a**3\/15 + a**2\/2 + 2. Let c(y) be the second derivative of z(y). Factor c(w).\nAnswer: 2*(w - 1)*(w + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**4 - v**3 - v**2 - v. Let m(o) = -11 + 3*o**4 - 230*o**2 + o + 234*o**2 + 4*o**3 + 3*o. Let b(t) = m(t) + 4*r(t). Differentiate b(n) wrt n.\nAnswer: 28*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 109326169 from -0.03.\nAnswer: -109326169.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 314461034.\nAnswer: 2, 557, 282281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1118881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351 - 361 = -5*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**5 + 240*q**4 + 1966*q**3 + 4448*q**2 + 3963*q + 1240.\nAnswer: -(q - 248)*(q + 1)**3*(q + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 104714540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 418*j + 95*j - 7182 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**4\/11 + 552242*h**3\/11 - 8836462*h**2\/11 - 21538578*h\/11 + 29822796\/11 = 0. Calculate h.\nAnswer: -276137, -3, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -753*r**2 + r + 5. Let t(m) = -20*m + 70. Calculate t(j(h)).\nAnswer: 15060*h**2 - 20*h - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13923.22 - -14049. Round d to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 11:50 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 22, 22, 20, 16, 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 36.4002 to zero dps.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 71 = 81 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14688 and 6264.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 47, 76, 105, 134?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 34, 61, 94?\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63200 and 16?\nAnswer: 63200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 8731.97 to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-5\/4)*z**(-1\/2))\/(z**(-1)\/z**5))\/(z**(3\/4)\/z*(z*z\/(z\/(z\/(z**(1\/2)*z*z))))\/z*z*z)**(2\/73) assuming z is positive.\nAnswer: z**(1239\/292)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/24*144\/(-360)*(87\/72 + -1).\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2625, 3030, 3435, 3840, 4245?\nAnswer: 4650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -44289793*v + 130352246 wrt v?\nAnswer: -44289793","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7454*l**6 - 8*l**5 - 9*l**4 + 22*l**2 + 18137*l + 3?\nAnswer: 894480*l**3 - 480*l**2 - 216*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.04 (b) -12 (c) -2\/2517\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 5) in base 10?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1193 = -3*a + 70*o, -4*a + 738*o = 733*o - 89 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 - -0.2. Let f = 0.28 - 0.28. Let s = -147 - -142. What is the closest to o in f, 1\/5, s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 18 = -2*k, -6*s + 4 = -2*s + k for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*q**2 + 2\/9 + 4\/9*q.\nAnswer: 2*(q + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*m - 698*m + 159*m = -212*m + 10488 for m.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 513 is divided by 172.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 61400 - 1?\nAnswer: 61366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (42\/(-34))\/(9\/(-30)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n**2 - 4*n + 228. Let q be k(-8). Solve 2*z = 4*x, 7*z = 11*z - q*x + 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1261 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, x: 1, f: 2, c: 8, u: 1, d: 1}. What is prob of picking 3 c and 1 x?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1158 - 42700599\nAnswer: -42701757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 92 and 312?\nAnswer: 7176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*g**2 + 89*g**2 - 7*g**2 + 139*g**2 + 212*g**2 as k + u*g + l*g**2 and give l.\nAnswer: 375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 800440675, 800440676, 800440677, 800440678?\n\"Answer: c + 800440674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and -0.39734.\nAnswer: -5.39734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.45 - -3.56. Let q = 0.47 - r. Round q to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*t**3 - 3*t + 27*t**2 - 11*t**3 + 6 + 4*t - 3*t + t**3 wrt t.\nAnswer: -12*t + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-12) + -2 - 20\/15?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07558 * 5.72\nAnswer: 0.4323176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 7*v**2 + 27*v + 53. Let s(j) = 3*j**2 + 13*j + 26. Let q(h) = -4*o(h) + 9*s(h). Let y be q(11). Solve 3*f - 4 - 8 = y for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -122124743660 plus -48.16?\nAnswer: -122124743708.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h + h + h**2 + (-h + 5 - 5)*(7 - 7 - 17*h) to the form r*h**2 + j + a*h and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**2. Let l(i) = -535*i**2. Determine p(l(g)).\nAnswer: -572450*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 8:05 PM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -7*r + 134. Let l be i(17). Suppose 0 = -u - 2*u + 24. Solve 2*g - 4*k = -u - 18, -5*k + l = g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6, 11, 44, 99, 182, 299, 456, 659?\n\"Answer: l**3 + 2*l**2 + 4*l - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -78 + 66. Find the common denominator of c*((-660)\/128)\/11 and 97\/62.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*d**2 + 171*d + 408.\nAnswer: 3*(d + 8)*(5*d + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (5 - 11) + 3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 755\/15 + 2\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 33, 0.2, -1\/6?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 4*l**2 - 37 + 18 + 4*l - 3*l**2 + 21. Suppose 2*s - t = -s - 17, -s = -t + 9. Let u be b(s). Solve 2 = -m - u for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -4, 3, 2, -10 in increasing order.\nAnswer: -10, -8, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.24 + 0.06. Let j = -0.2 + 0.6. Let i = j - g. Which is the smallest value? (a) 0.5 (b) -1\/2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12770 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + (-1)\/((-14)\/6). Let f be ((-3)\/(9\/12 - 0))\/(-2). Suppose -f*b + 6 = 4. Which is smaller: b or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14940 and 24.\nAnswer: 29880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 559.\nAnswer: 2795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281 + 1207 = 26*u - 2*w, 2*w = 6*u - 4*u - 6 - 114 for u.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 27 = -3*w, -2*y - 505*w - 52 = -497*w for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -9 - (5 + -7 + 2 + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1081 rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1250 or -2415?\nAnswer: -1250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -70368731.\nAnswer: -1\/70368731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*j - 59 - 2*j**2 - 5*j + 35*j**3 + 105 - 19*j + 28*j**4 - j wrt j?\nAnswer: 672*j + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 2*b + 2*b)*(-16*b + 2*b - 2*b).\nAnswer: -32*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19879786 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 j when three letters picked without replacement from zjfttfjzjjjma.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of q**4\/4 - q**3\/2 + q. Factor a(i).\nAnswer: 3*i*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 9*b + 254. Determine p(-10).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1)\/u*u*u)**46\/((u\/u**1)\/(u*u*u**3))*(u**(2\/5))**(-1\/58)\/(u**(-1\/2))**(5\/8) assuming u is positive.\nAnswer: u**(12309\/2320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 24620840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -32, -106, -230, -404, -628?\n\"Answer: -25*u**2 + u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*8\/2208*44\/(-77)?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81079 and 329389.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-26)\/(-26)*13.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence flfl when four letters picked without replacement from lffclcfcccf?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 14, -3, -8 in ascending order.\nAnswer: -8, -5, -3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*c + 50*c - 3*r = -2560, -2*c + 2548 = -3*r. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42 (base 8) to base 15\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 - 0. Let f = k - -0.2. Let y(p) = p**2 + 7*p + 2. Let l be y(-7). Sort l, -1, f in increasing order.\nAnswer: -1, f, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 16 - 4*q**3 + 1.\nAnswer: -4*q**3 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -110474*n**4 - 14*n**3 - 474*n**2 - 539*n + 1.\nAnswer: -2651376*n - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 51722 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2242 - 1447. Calculate the remainder when b is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/8 + 8*(-11)\/(-352). Let s(z) be the second derivative of 0 + 1\/6*z**3 + r*z**2 + 3*z. What is s(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 7) in base 16?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z\/z**0))\/z*z*z)**(-6\/7))**(-5\/6)\/(z\/(z**(-3\/5)\/z*z)*z*z**(-1)*z\/((z\/z**(-6))\/z*z)*z**(-1)) assuming z is positive.\nAnswer: z**(214\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 23. Let s = 130 + -118. What is the remainder when s is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 0.801 in decreasing order.\nAnswer: 0.801, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.2 and 59.\nAnswer: 70.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 4*j. Let o be x(1). Let d(a) = -12*a + 2*a - o*a**2 + 10*a. Let n(w) be the first derivative of 2*w**3\/3 - 2. Give n(d(k)).\nAnswer: 32*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -90 - -114. What is the remainder when 92 is divided by x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24f445 (base 16) to base 12\nAnswer: 989631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17405*b - 22380.\nAnswer: 17405","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -6*b - 15. Let y(o) = -3*o - 8. What is -6*i(a) + 11*y(a)?\nAnswer: 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1352900 divided by -332?\nAnswer: 4075","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.0034 - 52784460?\nAnswer: -52784460.0034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 468354 is divided by 155998?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -389 * -267340\nAnswer: 103995260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-66)\/(-55))\/(5\/(-1050)*3). Let o be (-5)\/(120\/m) + (-2)\/4. What is the smallest value in 4, o, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*u - 563 - 1201 = -784 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -311*l + 1872. Give g(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -401\/3 + 11680\/87. Let k = a + -2905\/58. What is the common denominator of k and -19\/32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14163471 + 14163471 + 13*i.\nAnswer: 13*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 i when four letters picked without replacement from kkjikjikkkkikkkkkjjk.\nAnswer: 286\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.060933 litres in millilitres?\nAnswer: 9060.933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 - 29 - (0 + 2 + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1548 - 3894. Let q = -7096 - k. Let i = -161573\/34 - q. Calculate the common denominator of -53\/12 and i.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -291616 from 4.7.\nAnswer: 291620.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 0.95. Let x = s + 0.05. Which is the third smallest value? (a) 5 (b) -0.4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1887*u - 912782 + 912782 - 15736*u to the form c*u + w and give c.\nAnswer: -17623","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnni when four letters picked without replacement from niniiin.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 3, 0.4, -5\/4, -11970.1, -4, 2\/21, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 74 + -61. Let p = 466 - 271. Suppose -5*a + p = -3*h, 155 = 5*a - 0*h + 5*h. What is the remainder when a is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84) + (sqrt(84) - (sqrt(84) - (sqrt(84) - sqrt(84)*1 - sqrt(84)))*2))*5*6)\/(-3*sqrt(768) - sqrt(768) - sqrt(120)\/(sqrt(20)\/sqrt(2))))**2.\nAnswer: 2800\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(98) + 0.\nAnswer: -4 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y - 7. Let v be d(5). Suppose v*q - z = 0, q + 2*z - z - 4 = 0. Let h(b) = -7*b**3 - b**2 + b. Give h(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -107*q**2 + 349*q**2 + 82*q**2 + (-2*q + 0*q + q)*(-1 + 1 - 2)*(-q + 1 - 1) in the form w*q**2 + v + c*q and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1060350, -0.3, 11\/5, -5\/3 in ascending order.\nAnswer: -1060350, -5\/3, -0.3, 11\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7 + 0.4. What is the biggest value in 2\/7, -0.1, j?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 38070, 38065, 38062, 38061, 38062, 38065?\n\"Answer: a**2 - 8*a + 38077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -4 (c) -303 (d) -0.3 (e) -46 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -476 - -476.972. Let f = x + 0.028. Which is greater: f or -1\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 184227?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -102, -3, 23, 7 in decreasing order.\nAnswer: 23, 7, 0, -3, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*q - 21*q + 40 = 43*q + 40 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/25 of a gram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4505 divided by -58015.\nAnswer: -901\/11603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2. Let q(u) = 7*u + 6. Let c(y) = 6*y + 5. Let d(j) = -6*c(j) + 5*q(j). Let w(m) = -d(m) - z(m). Calculate w(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*i + 17*i - 43*i + 576. Sort 2, i, 4 in increasing order.\nAnswer: 2, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 645392220 and 3630.\nAnswer: 3630","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6888\/60 - (-2)\/(-10)*-1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-18)\/(-63))\/(1\/7). Suppose 3*u - h - 20 = 0, u + 4*h = -3 + 1. Suppose 2*n + y*n - 19 = -3*d, 0 = d + n - u. Solve i = d*i + 20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 527, -27, 3.\nAnswer: -27, 3, 9, 527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -295a - 5?\nAnswer: -2961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/14 and -85\/19306?\nAnswer: 19306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (10 - 6 - (9 + 1))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 234369065 to the nearest integer?\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 11.403 and 4.525.\nAnswer: 15.928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 3*m + 15. Let s(d) = 10 - 21 + 3*d**3 - 4*d**3 + 6*d - 6*d**2 + 9. Let g be s(-7). Solve 0 = j + m*l + 10, -6*j + j = g*l for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and -5564088040?\nAnswer: 5564088039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 5*v = -48604, -4*t + 4*v + 64811 = 5*v. List the prime factors of t.\nAnswer: 3, 11, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -13034045, -13034050, -13034055, -13034060, -13034065, -13034070?\n\"Answer: -5*c - 13034040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/2, 0.3, 0.08, 0?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**5*z**(-1))**(-2\/3) assuming z is positive.\nAnswer: z**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 23244 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4116 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -101 - 2*c**2 + 101 - 9*c as b*c**2 + d*c + s and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 909, 1826, 2743, 3660?\n\"Answer: 917*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(208) + -3 + -2)*-4)**2.\nAnswer: -384*sqrt(13) + 3472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -1. Suppose x = -2*t + 205 - 55. Let j = t - 21. Calculate the greatest common divisor of j and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 + 21. Factor 50*m**2 - 25 + 35*m**u - 20*m**5 - 100*m**3 + 20 + 40*m**4.\nAnswer: -5*(m - 1)**4*(4*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 89, 338, 751, 1328, 2069, 2974?\n\"Answer: 82*a**2 + 3*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g + 18. Let r(h) = -h - 9. Let k(v) = -6*p(v) - 11*r(v). Let t be k(-7). Let n = 3 - t. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**2 + 14. Suppose 5 + 6 = q. Is f(q) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72438332906 take away 7850?\nAnswer: -72438340756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 63000.9ml in litres?\nAnswer: 63.0009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6747 is divided by 1685.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1723559302?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**2\/7 - 32884863*f\/7 - 32884860\/7 = 0 for f.\nAnswer: -10961620, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 c when two letters picked without replacement from jjpqcjpjj.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/(-18)*16\/(-60)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7700 by 11.\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4*a = 5917, -5*m - 1034 = -a + 8866. Let g = m + 2796. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 37120350?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 255283147 to the power of 1\/2, to the nearest integer?\nAnswer: 15978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -2. Let a = c + 1.5. Let u = -0.349 - 0.051. What is the closest to 1 in u, a, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 10:36 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*s**3 - 6673*s**2 + 125*s + 6673*s**2.\nAnswer: 38*s**3 + 125*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 16*u**2 - u - 12. Suppose -4*b - 74 = -2*s, -s + 5*s = 20. Let i be q(b). Let x be (-100000*i)\/(1\/22). Round x to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 104 and 1515324.\nAnswer: 39398424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1024*j + 1106*j - 410 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 172\nAnswer: -5\/172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - 6*v**2 + 7. Let n be f(6). Let o = 2.5 + -0.5. Let d be -1 - (-116)\/48 - 2*21\/56. What is the nearest to d in 1, n, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 195916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (112*i**2 - 42*i**2 - 29*i**2)*(-3 + 1 - 1).\nAnswer: -123*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**2 - 6*z + 79. Let b(y) = 3*y**2 - 8*y + 81. Give 3*b(a) - 4*o(a).\nAnswer: a**2 - 73","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - 50 + f + 51)*(41 + 0 - 27 + 35).\nAnswer: 245*f + 49","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (212\/((-71656)\/(-1183)))\/(7\/(-44))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 0*i - 2*i = 10, 0 = -3*m + 2*i - 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 m when three letters picked without replacement from {e: 2, o: 1, m: 7}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g - 25*g + 72 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**3 - 2*k**3 + k**3)*(2*k + 3*k - 4*k) - 2*k**4 - 3 - 396594*k**2 + 396594*k**2 + 30*k.\nAnswer: -3*k**4 + 30*k - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 255.9363 - -0.0637. Let l = 255.7 - m. What is the third biggest value in -14, l, -0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, i: 1, t: 1}. What is prob of sequence xt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 592 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2440432421 (base 5) to base 4\nAnswer: 112013002102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -292914 times -0.4?\nAnswer: 117165.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -8452 + 5?\nAnswer: -8447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 73 - 36. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**3\/3 + 1550*v**2\/3 + 42824*v - 275400 = 0. Calculate v.\nAnswer: -81, 6, 850","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of 86 + 157*v - 67\/2*v**2. What is the first derivative of t(s) wrt s?\nAnswer: -67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*u - 15. Let c(s) = 7 + 0 - s**3 - u + 5*s. Let j(a) = 2*a**3 - 11*a - 9. Give -9*c(h) - 4*j(h).\nAnswer: h**3 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -144.7 times -0.3?\nAnswer: 43.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tggtgngntttg. What is prob of sequence tg?\nAnswer: 25\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**5\/12 + 5*j**4\/4 - 15*j**3\/2 - 6*j**2. Factor i(a).\nAnswer: -5*(a - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73453?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 4*q. Let p(f) = -1 + 1 + 7*f + 46*f - 69*f. What is v(p(b))?\nAnswer: -64*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/53, -17, 3, 0.4, -5?\nAnswer: 3\/53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((693\/(-22))\/21)\/(6\/(-16))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d + 12. Let o be v(10). Suppose 5*c = 4*s - 95, -4*s + 27 + 75 = 2*c. Suppose -3*k = -12, -2*b + b + s = o*k. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**2. Let w(c) = 6*c - 5. Let x(g) = 7*g - 6. Let j(q) = -6*w(q) + 5*x(q). Calculate k(j(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -62*z**4 + 9309*z**3 - 9309*z**3 + (-3*z**2 + 3*z**2 - 2*z**3)*(-87 - 209*z + 19*z + 87) in the form t + c*z**2 + i*z**3 + r*z**4 + h*z and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-588)\/48 - (-3)\/12. Let v(y) = -2*y - 19. Let q be v(p). Solve -9*r + q*r - 12 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -10*k**2 + k. Determine m(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*f = -53*f - 108 - 4. Let z(o) = -100*o**2 - 2*o - 1. What is z(f)?\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(3\/5)\/z**(-1\/7)*z**(1\/9)\/z*z*z**(1\/4) assuming z is positive.\nAnswer: z**(1391\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2683528, -2683519, -2683510, -2683501, -2683492?\n\"Answer: 9*c - 2683537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/11 (b) 12165 (c) -4\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10*0.4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*c - 3*c + 2*c + 6*c to the form i*c + g and give i.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -59 + 46 + (-3 - (-3 - 9)) + (49 - -8).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/(540\/237) + (-10)\/(-8). Let c = i + -191\/198. What is the common denominator of -15\/7 and c?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 10420225?\nAnswer: -10420233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 4*j**2 + 2*j + 1. Let o(m) = m**2 - 13*m. Let u be o(13). Suppose u = q + 4 - 7. Let z be p(q). Which is greater: -4\/7 or z?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**3*w\/(w**1*w))**(4\/5)\/((w**(2\/19)*w**(-1\/4))\/((w**(-1\/5)\/w)\/w*w\/(w*(w**(-3\/2)\/w)\/w*w))) assuming w is positive.\nAnswer: w**(1081\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -229300 less than or equal to -229297?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 61 + -21064224?\nAnswer: -21064133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-10*7\/(-1652)*(-76)\/(-95).\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.432 + 0.032. Let a = l + 5.400000158. Round a to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1846547477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/682 and 63\/1178.\nAnswer: 12958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2619\/(-776)*(-416)\/39?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fg when two letters picked without replacement from {d: 5, f: 5, l: 3, g: 5, e: 1, s: 1}.\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48.43 + -48. Let z = -4.63 + d. Round z to 0 dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 980 and 340.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11287 - -11511. What is the lowest common multiple of 91 and x?\nAnswer: 2912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (78 + -77)*(55 - -6). What is the nearest to -0.1 in 0.4, b, -14?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 7 + (-3 + -1 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - n - 14. Give u(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2*d = 0, 2*g - 4*d + 7 = -1. Suppose g*t - 5*h - 103 = 0, t + 4*t - 145 = 3*h. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-1)*((-138)\/(-37582))\/(6\/76)?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -17*k**2. Suppose -w = 2*s - 226, 3*w + 124 + 224 = 3*s. Let v = 116 - s. Let p(a) = -4*a**2 + 2*a**v + a**2 + 5*a**2. Determine p(y(m)).\nAnswer: 1156*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1190 - 254. Is d a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a**2. Let k = -12 + 6. Let p = -6 - k. Let x(d) = p*d + d + d. Calculate x(r(h)).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -1 (c) 4\/7 (d) 3\/2743\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 181333500 times -0.2?\nAnswer: -36266700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-5\/8)\/b)\/b**1*(b**(6\/11))**(-11))**(2\/155) assuming b is positive.\nAnswer: b**(-61\/620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.89 - -0.11. Let z = s - -1. What is the closest to 1 in -4, 3\/2, z?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -5*o**3 - 2*o**2 + 1. What is m(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 13) to base 7\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.19787km in meters?\nAnswer: 8197.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.37790049 rounded to 1 dp?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-23 - (35 + -62)) - 59.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3202?\nAnswer: 2, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.11999956 + -2.12. Round o to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36522 (base 10) in base 5?\nAnswer: 2132042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -o**5\/20 - o**4\/2 - o**3 - o. Let x be a(-4). Let d(m) = -m**2 - 9*m - 3. What are the prime factors of d(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1766 is divided by 89?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}