diff --git "a/data/dm_maths/full_data_1/2283_11255.jsonl" "b/data/dm_maths/full_data_1/2283_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2283_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate 0.0298*-0.05.\nAnswer: -0.00149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 16*d - 4. Let n be u(12). Suppose n - 138 = -3*q - x, 0 = -3*q - 2*x + 89. Suppose -3*t + q = -0*t. Is t a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 929972977.\nAnswer: 929972977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32\/21*x**4 + 2\/21*x**5 + 26\/7*x**3 + 0 + 0*x + 0*x**2.\nAnswer: 2*x**3*(x + 3)*(x + 13)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 1 - 3)*(-1 + 5 - 3) + 2 - 5 + 2)*(-3*x**3 + 12*x**3 + 3*x**3).\nAnswer: -84*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l + 3*l**2 - 2 - 2*l**2 + 1. Let x = -4 + 17. Let f = x - 18. Determine v(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-75))\/(6\/(180\/6)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 75\/167 - 42983\/77488. What is the common denominator of -75\/3248 and v?\nAnswer: 3248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 375*a + 5811747 = -1936503. Are a and -20661 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 384*k = -57*k + 30861621. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s**3 + 3*s**2 + 2*s - 7. Determine n(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 6*c**2 + 7*c + 7. Let p be r(-5). Let h be ((-4)\/(-10))\/(p\/15). Does 17 divide ((-1)\/h)\/(3\/102)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4153*a**4 - 12454*a**4 + 2*a**2 + 4156*a**4 + 21*a - a**3 + 4152*a**4 - 3 as u*a**3 + x + y*a**4 + s*a + h*a**2 and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14646902 to the power of 1\/2, to the nearest integer?\nAnswer: 3827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15886421*q**3 - 31772843*q**3 + 15886417*q**3.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(2\/(-12)))\/(2440\/(-244))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2722780986?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x - 4. Let d be p(8). Suppose 4*m = 2*m + d. Suppose -h - 3*c + 4*c + 1 = 0, 2*h - 5 = -c. Calculate the lowest common multiple of m and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2377139 is divided by 264111?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1152) + -2*sqrt(8)*-2)\/((sqrt(4) - 5*sqrt(8)\/sqrt(2))*1).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 465.8 + 0.07.\nAnswer: 465.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 310 - 313.02. Let x = 0.02 + l. Let a = 3.2 + x. What is the biggest value in 1, a, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y + 1342 = 1363, 5*y + 5 = -2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 7:05 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 152669 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-10)*(-15)\/(-9). Let p = -0.56 + 0.563. Let r = p + 0.997. Which is the nearest to r? (a) g (b) -2 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 775187*d + 146426.\nAnswer: 775187","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -8*w**2 + 4*w - 4. Let x(v) be the first derivative of -5*v**3 - 17 + 7\/2*v**2 - 7*v. Calculate 11*f(c) - 6*x(c).\nAnswer: 2*c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 8*y - 42. What is the least common multiple of o(8) and 130?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kwh when three letters picked without replacement from {k: 1, r: 2, h: 1, b: 1, w: 1, g: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 47*d - 2. Let m be z(1). Suppose 4*w = 3*f + 63, 79 = 5*w - 4*f - 0*f. Calculate the highest common factor of m and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.2451 to 2 dps.\nAnswer: 5.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -5*m**2 - 11*m - 44. Let h be r(-3). Let o be 4*(46\/h - (-52)\/91). Sort 59\/3, -2\/11, o in descending order.\nAnswer: 59\/3, -2\/11, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 972410?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3658ab (base 12) to base 4\nAnswer: -3113003003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1658, -73\/5, -0.1?\nAnswer: -73\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -1523 - 405. Let p = c + 474. Sort -5, 5, -2, p in ascending order.\nAnswer: p, -5, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of t**5\/12 - t**4\/24 + t**3\/2 - 4*t**2 - 119. Determine k(-5).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of 11\/24*a**4 + 0 - 1\/15*a**5 - 12*a**2 - 31\/6*a**3 + 0*a - 305\/12*a**6. Let q be t(-13). Round q to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(2\/(-1*2)). Let x = 34 - 32. Solve k = -0*w - x*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 5*a - 9. Let l(r) = -r**2 + 9*r - 8. Let o be l(9). Let f be b(o). Solve 3*w - f + 0 = 0, -2*w = -4*q - 10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2*g + 2 + (-5 + 6 - 2)*(0*g - 2*g + 0*g) - 129 - 6*g + 129.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -3*y + 40. Let o be ((0\/(6\/3))\/1)\/(-4). Suppose o*d - 3*d + h = -y, d = -h. Solve d*f = -3*w - 12, 3*w - w + 2*f + 10 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.24 * -71.\nAnswer: -17.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 0, -0.1336, 9\/2, -4, 0.3?\nAnswer: -0.1336","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3458 = 20*c - 11458. What is the thousands digit of (-29627)\/(-25) + (-32)\/c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by -8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 c when two letters picked without replacement from {n: 1, c: 1, z: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3*z = -149, 3*g + z + 89 = 3*z. Let b = 58 + g. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 21 = -3*m - 8, -2*p = 2*m - 6. Suppose p = c + c. Suppose 0*y + 2\/9*y**4 + 0*y**c + 0 - 2\/9*y**3 = 0. Calculate y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*q**4*z**2 - 10877*q**4*z - 3*q**2*z**2 + 89*q**2*z + 190*q**2 - 2*q*z wrt q?\nAnswer: 648*q*z**2 - 261048*q*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -248*2886.\nAnswer: -715728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 7924 divided by 28\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -172 + 103. What is x rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -207 - -260. Suppose 3*v - 265 = -2*v + 3*g, v - m = 2*g. Suppose -795 = -6*r + r. What is the greatest common factor of v and r?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -230879*h + 113614*h - 3 + 112123*h in the form g*h + f and give g.\nAnswer: -5142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of 5107*t**3\/6 + 5643*t**2\/2 + 3098*t + 1. What is the first derivative of p(y) wrt y?\nAnswer: 5107","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121102221 + -1?\nAnswer: 121102220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4444758*-0.3.\nAnswer: -1333427.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*h**2 - 8*h**2 + 4*h**2.\nAnswer: -19*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**(-1\/8))\/(h*((h\/(h\/(h*h*(h*h*h*h**14*h)\/h*h)))\/h)\/h))**(-15) assuming h is positive.\nAnswer: h**(2055\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 16. Let t = p + -16. Let f be 3 + t + (1 - 4). Is f greater than 2\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/150*21*((-4)\/(-7) - 0).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 86385 and 624?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 5*v. Let d(r) = 2*r**2 - 10*r. Let z(o) = -4*d(o) - 7*w(o). Let y be z(6). Let q(j) = -j + 1. Calculate q(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -5.68182756589.\nAnswer: 3.68182756589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, t: 4, x: 1, b: 2}. Give prob of picking 1 b and 1 x.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1120 divided by 4?\nAnswer: -280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -8 + 6*b**2 + 28*b**2 + 27*b + 10*b**2 + 26*b**3. Let a(n) = -9*n**3 - 15*n**2 - 9*n + 3. Let u(w) = 17*a(w) + 6*y(w). What is c in u(c) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11636, -11632, -11626, -11618, -11608, -11596?\nAnswer: -11582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -987059*-0.4\nAnswer: 394823.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/40 and -3 + (195\/120)\/(153\/228).\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 330121 (base 4) to base 16\nAnswer: f19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 556 = 5*i + 551, 2*b + 25 = 3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/5 + 266*o**2\/5 + 6862*o\/5 - 138554\/5.\nAnswer: 2*(o - 13)*(o + 73)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9480)\/(-1975)*2\/6?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 167 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.13 + 0.67. Let r = k - 0.7. What is the closest to -5 in -0.2, 4, r?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(3*(-4)\/(-16)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/12*-2)\/(2\/(-4))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 97 + -57. Let a(m) = -o + 36 - 4*m - 4*m - 2*m**2 + 3*m**2. Calculate a(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97502478 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7892332.89999794 - -7892333. Let x = 0.76 - 0.66. Let d = x - l. Round d to 7 dps.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -202. Is 64 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1055937 is divided by 15999?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l - 254\/13*l**2 - 40\/13*l**5 + 64\/13*l**4 + 134\/13*l**3 - 8\/13 = 0 for l.\nAnswer: -2, 1\/10, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*x**5 + 9384*x**4 + 88002*x**3 + 180144*x**2 = 0.\nAnswer: -417, -72\/11, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3278694 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(832) + -3 + 2)*1)**2*-1.\nAnswer: -848 + 64*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**2 + 11*v**2 - 9*v**2 - 4*v**3 - 2*v**2.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.108 and -0.13.\nAnswer: -0.238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12084568 and 152.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (15 + -16 + 1 - (0 - 1))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 = -5*u + 18. Calculate the remainder when 4 is divided by 42\/u*(-8)\/(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c + 52. Let m(w) = -41*w - 95. What is x(m(y))?\nAnswer: -82*y - 138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 6*h - 48 = -3*h, -2*h - 8 = 0. Let b be (4\/30)\/((-3)\/p). Let q be (-1)\/(-6) - (-38)\/(-12). What is the second smallest value in 3\/5, q, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(5\/3)*q**(-2\/9)*q*q*q**38*q**(-20)\/q)**31 assuming q is positive.\nAnswer: q**(5704\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/52 and -21\/23.\nAnswer: 1196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -30\/28561?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of b**4 + 26*b**3\/3 - 3*b**2 + 1. Let f be j(-33). What is f rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 67, 107, 151, 199, 251?\nAnswer: 307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 0*s**2 + 0 + 13*s - 1\/6*s**3. Let k(u) = -9*u. Determine l(k(a)).\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 637 + -17?\nAnswer: 620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, s: 5, o: 10, k: 2}. What is prob of sequence kocc?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6275.05l?\nAnswer: 6275050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220) + sqrt(220) + 1*sqrt(220) + sqrt(5500) + sqrt(5500)*2)\/(-1*sqrt(539) + sqrt(539) + -2*sqrt(539) + sqrt(539)).\nAnswer: -36*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -2. Suppose 0 = -5*w, z = -4*o - 2*w + w - 8. Let s = o - -6. Solve -s*c + 0 = 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/3)\/(2\/3). Let f(s) = 5 + s**2 - 4*s - 2*s + 3*s. Is 4 a factor of f(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 926 - -965. What is the greatest common factor of 31 and f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2108\/37 less than or equal to -19\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 2. Suppose 5 + 0 = c. Sort z, 1, c.\nAnswer: z, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5260, -10657, -16044, -21415, -26764, -32085, -37372, -42619?\nAnswer: -47820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 230 + -133?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -9*h**2 - 21*h - 1. Let x be n(-2). Solve 0 = -2*u + 4*o - 8, 7*u = 2*u + x*o for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*h + 5*n - 21 + 127, -4*n = 2*h - 8 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s + s + 5*s - 3*s + 3. Let y be v(4). Suppose y = p - 34. What is the remainder when p is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -4 - (5 - (14 + 0))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -7, 3184.\nAnswer: -7, 2, 3184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*q + 27 = 154*q. Solve -2*k + 6 = -5*d - 0*d, -3*d = -q*k for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - f - 17 = 4*n, -5*n = 3*f + 22. What is the units digit of 124*f*(1 - -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f**2 - 286*f - 286*f + 872*f - 300*f.\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -429, -1711, -3843, -6825, -10657, -15339, -20871?\nAnswer: -27253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -n**5\/20 + n**4\/3 + 7*n**3\/6 - 2*n**2 - n. Calculate w(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in 5\/6, -2, 4, -22?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 186723 (base 12) to base 2\nAnswer: 1101000000010001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-5 - -12 - 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(135)\/sqrt(5)*3 - sqrt(27) - (sqrt(27) + sqrt(108) + sqrt(27) + 0))*3.\nAnswer: -18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5560.735 grams in nanograms?\nAnswer: 5560735000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 58452.8426 take away 30178?\nAnswer: 28274.8426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -26*j**3 - 6*j**2 - 17. Let q(r) = -53*r**3 - 10*r**2 - 32. Determine 5*h(u) - 3*q(u).\nAnswer: 29*u**3 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1434587, 2869182, 4303777, 5738372?\nAnswer: 7172967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4145535, 4145531, 4145527, 4145523, 4145519, 4145515?\nAnswer: 4145511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 11, -2, -11\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -1\/2*n**2 + 0 + 2*n = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2 - 1, 5*m - 2*r = 64. Suppose -4 = 5*g - m. Suppose 0 = -6*b + b + 30. What is the highest common factor of b and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8a3e91 (base 16) in base 6?\nAnswer: -522104213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 1 = a + 2*q, 0 = q + 5. Let p(l) = 3*l - 5. Let z be p(a). Let t = -1 + z. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 11, 3, -60, -67 in ascending order.\nAnswer: -67, -60, 1, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v - 40 = 26*v + 5*v. Put v, -59, 1, -5 in increasing order.\nAnswer: -59, -5, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 357.6 times -0.3?\nAnswer: -107.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(2\/5))**(-1\/33)*(a**0)**(-2\/23))\/((a\/a**(-12))\/a**(-10))**(-23) assuming a is positive.\nAnswer: a**(87278\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 12*g + 24. What is l(-12)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*r**3 + 944697*r**2 - 2361774*r + 944712 = 0. Calculate r.\nAnswer: -157452, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -58a + -2a?\nAnswer: -5b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 56 = -2*q, -6*l + 3*l = -4*q + 128. Let o be 5 - l\/(-40)*30\/4. Let t = -3 - 4. Which is smaller: t or o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cdydrrbcrd. What is prob of sequence rrby?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*m + 22 - 126 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*b + 10*b - 8*b + (2 + 0 + 0)*(-3*b + 2*b + 6*b) + 1 + 2*b - 1 + (0*b - b - b)*(3 + 4 - 5).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 99121.1 - 173110\nAnswer: -73988.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 47.088958 to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 861061, 1722115, 2583169, 3444223?\n\"Answer: 861054*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u + 12. Let h(k) = 2*k + 11. Let x(l) = 5*h(l) - 4*y(l). Calculate x(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000303786123 to 7 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4566 is divided by 415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 6:14 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -4718.176 to the nearest integer.\nAnswer: -4718","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-30) - 14\/6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 2*b + 11, b + 2*b = 5*s - 10. Let u = -3 - 6. Let m = 17 - 17. Sort u, m, b in increasing order.\nAnswer: u, b, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 35908405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + x + 3 = -3*x, 4*s = -x - 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 11*o - 26. Let f be (-2)\/3 - (328\/(-6))\/(-2). Is 10 a factor of o*61*14\/f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + ((-50)\/(-3))\/(-10). Let o(k) be the first derivative of z*k + 1\/9*k**3 - 3 + 1\/3*k**2. Find q, given that o(q) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, 1425, -12 in decreasing order.\nAnswer: 1425, 35, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.65, 377, -0.02 in descending order.\nAnswer: 377, -0.02, -0.65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**5\/f*f**(4\/5)*f*f)**(1\/6)*((f\/(f*f**(-3\/2))*f)\/f)\/f*(f*(f*f**0)\/f*f)\/f*(f\/((f\/(f*f**5))\/f))\/f*f**(-3\/4) assuming f is positive.\nAnswer: f**(473\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/3 and 109\/3834?\nAnswer: 3834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -59, -57, -55?\n\"Answer: 2*o - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*r + 49 = 249. Sort 2, r, -1, 31.\nAnswer: -1, 2, r, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -7*m - m**2 + m - 5 + 2 - m. Let l be b(-6). Solve 2 = -l*d - 10 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -93 by 93.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4542*y + 3492*y - 11521*y + 3488*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (5*(0 + (sqrt(539) - (sqrt(539) + 0 + -1)) + (sqrt(539) + 1)*4*3))**2)*-2.\nAnswer: -3889258 - 109200*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5996159 to the nearest integer?\nAnswer: 2449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) + 3)*4*-2 + 3.\nAnswer: -88*sqrt(3) - 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-56 - -93) + (-15 - -2) - (4 - -2)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1505699 and 3627?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 62758 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 269288, 538814, 808348, 1077896, 1347464, 1617058?\nAnswer: 1886684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 596*z**4 - 14*z - 601*z**4 + 16*z + 169*z**3 to w*z**4 + x + v*z**3 + o*z**2 + c*z and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 915.083 to the nearest ten.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 318760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 4*m**2 + 3808*m + 906304 = 0.\nAnswer: -476","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 1 + 3)*(-2 + 2 + a**2) - 7 + 13 + 33*a**2 - 7 as b + p*a**2 + w*a and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*v - 102 = -47*v. List the prime factors of v.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-213)\/(-71)*(-11 + -2). Which is greater: -51 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/25? (a) 1.3 (b) 4 (c) -44\/9 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7, o: 4, s: 3, f: 4}. What is prob of sequence uu?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78523?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 5*b + 1. Let q(r) = r. Let k be q(-1). Let w be 6 + 2\/(k\/1). Calculate m(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q + q = 16 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 + 36. What is the highest common divisor of 5 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -26, -5 in increasing order.\nAnswer: -26, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 t when two letters picked without replacement from tttttttttttjttttttjt.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -c + 200, 2*c = 10*j - 12*j + 448. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 29.274184?\nAnswer: 14.637092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131113?\nAnswer: 131113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/304 and -55\/72?\nAnswer: 2736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2*l = -1, 0 = -4*i - l - l + 8. What is the units digit of (11 - 3 - i) + 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 4 + 0 - -4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 29\/(-14) + 2 - (-103)\/1442. Let t be -4*4\/((-8)\/(-3)). Let f be (32\/12)\/(t\/9). Put f, 1, h in ascending order.\nAnswer: f, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j + 1220 = 3*j. Put j, -4, -2 in descending order.\nAnswer: j, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dyyyydyydeyed. Give prob of sequence eyde.\nAnswer: 7\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do -107\/63 and 2.09 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -66 + 4*n + 66 + (4*n - 2*n - n)*(1 + 1 - 1) + 3*n - 3*n + n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.27 + 15.73. Let p = 17 - b. Let i = p + -0.999965. What is i rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2911 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 452*b**2 - 531101*b - 531056*b + 1062157*b.\nAnswer: 452*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 2*x = 16, -2*c - 3*x + 103 = 101 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -459, -16, 2, -8, -1.\nAnswer: -459, -16, -8, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 7*c**2 + 4. Let v(u) = 7*u**2 + 3. Let r(t) = 3*q(t) - 4*v(t). Let j(o) = 3*o. Let k(l) = 10*l. Let b(i) = 14*j(i) - 4*k(i). What is b(r(a))?\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 433341801 and 534?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1830688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*f + 11*f + 8. Let j = 1 + 1. Suppose 4 + 8 = -4*n. Put j, f, n in descending order.\nAnswer: j, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -s**6 - 26811*s**3 - 212*s**2 - 208 wrt s.\nAnswer: -120*s**3 - 160866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -98 + 25 + 49 + 17\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of 20*g + 0*g**3 + 30 + 0*g**2 + 17\/2*g**4. What is the first derivative of k(x) wrt x?\nAnswer: 102*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 36 + -54729?\nAnswer: -546a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3899203.\nAnswer: 7, 11, 79, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 434.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.027916 meters to kilometers.\nAnswer: 0.009027916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24633717 and 8535?\nAnswer: 1707","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 96566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1281 divided by -331?\nAnswer: -1281\/331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/44040 and 57\/29360?\nAnswer: 88080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 8:04 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 528352668 is divided by 363?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 538613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35276100 and 28220880.\nAnswer: 141104400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**3 - 4*c**2 + c - 2. Suppose -16 = 5*n - 31. Calculate l(n).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 106 - 115. Is 31 a factor of (-45)\/t*124\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/(-216)*16\/128?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2094 and 5235.\nAnswer: 10470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 0.4, 281?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by (-45)\/10*-1*10\/3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 12 + -22 + (14 - 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25\/2*m + 1\/4*m**5 - 13\/4*m**4 + 57\/4*m**3 - 95\/4*m**2 + 0.\nAnswer: m*(m - 5)**2*(m - 2)*(m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -5. Let a(u) = u**2 - t - 6*u + 8*u**2 - 8*u**2. Let z be (-1)\/1 + -2 + 8. Determine a(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -302971?\nAnswer: -30297.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 121707107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3273*h + 61812 = 533*h + 34484 - 60352 for h.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -460 at most as big as -458?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**2 + 2956*f + 2184484 = 0.\nAnswer: -1478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 950851457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*u - 16 = 10*u. List the prime factors of (-67)\/u*(-16 + 14).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 8 + 6 = 0. What is the remainder when 3*-1*(235\/(-15))\/g is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/((-55)\/(-50))*(-5)\/10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 2, g: 4, o: 5}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1654 = -21*z + 1181. Suppose -l + 28*l = z. Sort -5, -4, 0, l.\nAnswer: -5, -4, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/2 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 35 and 1958.4.\nAnswer: 1993.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1144 and 4554407.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2853368*q - 2853335*q = 33 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 4*y**2 - 5*y + 5. Let h be z(-5). Suppose 0 = -d - 3*v + 11, -h*v = -3*d - 23. Let x(q) = -5*q**2 - 2*q - 1. What is x(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248 = 10*r - 91 - 361. Calculate the greatest common divisor of r and 12264.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**4 + 4*o**4 - 2*o**4 + (2*o + o - o)*(-18067*o**3 + 36477*o**3 - 16297*o**3).\nAnswer: 4228*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/2 + 247\/(-390). Sort 2, t, 2\/11.\nAnswer: t, 2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - d + 12 = 0. Suppose 0 = h + 1, -3*h - 9885246 = -d*m + 6914757. Round m to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -5*b + 8, 5*x - 30 = -3*b - 3 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15.000042 + 15. What is u rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 316428019*k**4 + 36357983?\nAnswer: 1265712076*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -32 - 2143?\nAnswer: -2215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 7 = 22. Suppose 4*u - r = 3, 4*f = -4*u + 248. Suppose 0 = 2*y + 4*o + o - f, 2*o = 4*y - 72. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0126919 rounded to three decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -14565.6844 rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 12.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -239098, -5, 5 in descending order.\nAnswer: 5, -1, -3, -5, -239098","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 4*v = 53, 3*l + 571*v - 15 = 570*v for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = a - 8, -4*z + z = 5*a - 22. Suppose 3*p = 12, -2*j + 2*p - 4*p + 14 = 0. Let l(v) = -v + 1. Let i(f) = -f + 1. What is j*i(g) + z*l(g)?\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 2562?\nAnswer: -2566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (4*(5*sqrt(77)*1 + sqrt(77) + sqrt(77) + sqrt(77)))\/(sqrt(21)\/(sqrt(12)\/sqrt(4)) + 4*sqrt(7)*1))**2.\nAnswer: -256*sqrt(11)\/5 + 11664\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2283 and -12.21.\nAnswer: -27875.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 4*d**2 + 0*d**2)*(4*d - 2*d - 6*d - d**2).\nAnswer: -3*d**4 - 12*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -10*p - 28. Let f be p*(3 + 65\/(-20)). Calculate the greatest common factor of f and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -37*w + 28*w + 7*w. Let o(s) = 9*s**2 + 2*s. Calculate p(o(r)).\nAnswer: -18*r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -4*t + 2*z + 46, 0 = 4*z + 20. Let g be (-260)\/t*(-18 + 0). Let w = g + -1070. Round w to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 417*j**5 - 2*j**4 - 203*j**2 + 2*j wrt j?\nAnswer: 25020*j**2 - 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/1064 and 157\/1478232.\nAnswer: 28086408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224596815.\nAnswer: 3, 5, 19, 61, 12919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/56216 and 77\/12.\nAnswer: 168648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3135 and 380?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 371 is divided by 116.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 smaller than 5\/154304?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(128) - 2*sqrt(128)))**2.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2)\/u)**(1\/31)*u**(-4)\/(((u\/(u\/(u**(-4\/5)*u)))\/u)\/u) assuming u is positive.\nAnswer: u**(-356\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1486761 * 7\nAnswer: -10407327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -3563833.73 to the nearest 100000.\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yuyu when four letters picked without replacement from {m: 1, u: 2, y: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -4 (b) -0.07 (c) -6005\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-75))\/((-4)\/48).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15116869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(5\/6)*q**(-2\/5)*q*((q**(-11)\/q)\/q)**(-4\/15) assuming q is positive.\nAnswer: q**(49\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*x**3 + 10*x**2 = 0. Calculate x.\nAnswer: -5\/23, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**5 + 2*j**5 - j**5)*(-6 + 1 - 3)*(-4 - 4 + 0).\nAnswer: 128*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7 + -2)*13\/65. Let d be (n\/(-3)*3)\/(-1) + 5. What are the prime factors of 166 + d + 3\/1?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29349 and 21.\nAnswer: 205443","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21\/4 + -5. What is the nearest to -6\/7 in q, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 34 - -9aa2160?\nAnswer: 9aa2194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/2 + 197*o\/2 + 99.\nAnswer: -(o - 198)*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 340 + 450. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -25*w**3\/2 + 7*w**2 + 17*w. Is y(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 5*o + 5 = 0, 90640 - 90641 = 2*n - o for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1149384833, 2298769666, 3448154499, 4597539332?\nAnswer: 5746924165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 4*g**2 - 5411408*g + 1830208533904 = 0.\nAnswer: 676426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5260 - 2627 - 152*s**2 - 2633 - s**3.\nAnswer: -s**3 - 152*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 575003*m. Let b(s) = 5*s. Calculate b(c(v)).\nAnswer: 2875015*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*r = 18*r + 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 3 + 0)*(b - 3*b + 3*b) + 0*b + b + 0*b)*((1 + 1 - 5)*(3 - 3 - 2*b) - 4*b - b + 2*b)*(-2 + 4 - 1).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 9:17 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n - 34 - 2*n + 86 - 52.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -343\/15 or -24?\nAnswer: -343\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 12*c**2 - 3*c - 41. What is the hundreds digit of j(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5303348*o - 5303288*o + 10606652*o.\nAnswer: 16*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/10 of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 11.3. Let f = t - 2. Let y = 112 - 116. Which is the closest to 0? (a) f (b) y (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 5*y + 2. Let p(x) = -x**3 + 11*x**2 - 31*x + 12. Let j be p(6). Suppose j*q + 8 - 32 = 0. Let a(r) = -r + q*r - r - r. Calculate a(c(f)).\nAnswer: 5*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2520033?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 75.61601 litres?\nAnswer: 75616.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9475531 - -24\nAnswer: -9475507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s + 6. Let x be t(10). Suppose 7*i = 3*i + x. Find the second derivative of -g - g**2 + g**2 - 2*g**i wrt g.\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5 = 0, 5*s + 90 = 9*s + 2*q. Let r = s - 7. Suppose -3*a - r = -11*a. Solve 4 + 0 = a*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 2 - 17*h + 2 + 0.\nAnswer: -17*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 3601703\nAnswer: 10805109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -1103*v - 1932*v + 265*v - 581*v - 1635*v as x*v + q and give x.\nAnswer: -4986","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b - 16*b**3 - 5*b + 18*b**3 + b.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 575.0547 - 575. What is h rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 5 = c, 88 = 4*k + 4*c. Solve 1 = -4*q + k for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -4808813\nAnswer: -9617626","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 2. Let c(m) = -13990*m**3 + 6*m**2 + 13*m + 5. Let i(x) = -c(x) - 2*q(x). Let h be i(-3). Round h to the nearest 10000.\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -16 + 8 - 2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zpp when three letters picked without replacement from qpqqqqqqqzppzpppq.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (4*sqrt(119)*-5 + (sqrt(119)*3 + sqrt(119) + sqrt(119) + sqrt(119))*-3)\/(-3*((sqrt(70) - sqrt(70)*-1*-4) + sqrt(70))\/sqrt(10)).\nAnswer: -19*sqrt(17)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -3 + 6 - 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -14b0b11 (base 13) to base 8\nAnswer: -31221271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -133 + 132. Suppose y - 2 + 5 = 0. Which is the closest to r? (a) 3 (b) 4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 168323?\nAnswer: -16831e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59.7 + -61. Which is the third biggest value? (a) -1 (b) -4\/9 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -5, -1\/18, 1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 252 = 8*z. Solve -8 = -5*n + 4*q - z, n + 3*q - 10 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - 4*q - 4*q**3)*(-3 - 1 + 10)*(-8*q + 10*q + 14*q).\nAnswer: -384*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -c**4\/24 + 2*c**3\/3 - 5*c**2. Let m be j(4). Suppose -5*l = -l - s - 23, m = 3*s - 3. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**5\/5 - 20*c**4 + 136*c**3\/5 + 7036*c**2\/5 - 6666*c\/5 - 71064\/5 = 0.\nAnswer: -7, -3, 4, 9, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49.15 + 0.85. Let v = -49.59 + f. Let l = 31.91 - v. Round l to 0 dps.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 261275\/15 - (-5 + 19\/3).\nAnswer: 17417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3421 (b) -32\/5 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 2*m. Suppose -5*q = 3 - 8. What is the tens digit of (q - -21) + m\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-99)\/(-12) + (42\/6)\/(-28) and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143 - 9*n**2 + 133 + 11*n**2.\nAnswer: 2*n**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 6*g**2. Let s be b(-5). Suppose -3*n + 54 = h + 10, s = 5*n. List the prime factors of h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/5 + 7133*y**2\/5 - 14262*y\/5.\nAnswer: -y*(y - 7131)*(y - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13213155 divided by -15.\nAnswer: -880877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2681371 - 32?\nAnswer: -2681403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 234\/(-91) + 2 + 1761\/(-924) and -41\/220?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 4 (c) -1\/5 (d) 3038 (e) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 0 - (3 - 11)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 3*f - 45. Let q be o(7). Suppose -q*v + 11025 = -5750. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -2*i + i. Suppose 0 = -z - 5, -t + 399*z - 402*z + 138 = 0. What is the greatest common factor of i and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 times -16183704?\nAnswer: 307490376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) - (sqrt(252) + (-1*sqrt(252) - sqrt(252))) - sqrt(63) - 1*sqrt(63)*1)\/((-2*2*sqrt(108))\/(sqrt(432)*1)).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, s: 2, i: 6, k: 4, c: 2, h: 1}. What is prob of sequence hs?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -13*n**2 - 7*n. Let t(i) = -4*i**2 - 2*i. Let s be (7\/(-2))\/((11\/2)\/(-11)). Calculate s*t(z) - 2*j(z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29*c*v*z**5 + 3*c*v*z**2 + 7*c*v + c*z - 2*v*z**3 - 20*v wrt z?\nAnswer: -580*c*v*z**3 + 6*c*v - 12*v*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8298 plus 4191453646?\nAnswer: 4191445348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 + -41 - 366\/(-1) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**4\/7 - 1982*w**3\/7 - 409204*w**2\/7 + 21419504*w\/7 = 0. What is w?\nAnswer: -652, -382, 0, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**2 - 2*z**2 - 17*z**2.\nAnswer: -17*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -t**3 - 1. Let z(a) = -27*a - 185. Let u be z(-7). Let b(c) = 1 - 129*c + u + 123*c - 5. Determine l(b(d)).\nAnswer: -108*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 18*v + 20. Let x be y(17). Let s = -2 - -6. Which is the second biggest value? (a) -5 (b) x (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*p - 3 - 1 + 4 in the form s*p + d and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2 = -4*p - 0, 0 = -t - 2*p + 28. Suppose 4*y = -t + 298. Calculate the remainder when y is divided by 2 - 1\/((-2)\/32).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3 and -27\/17 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -34+17.816404\nAnswer: -16.183596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 5073?\nAnswer: -5076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15212, 32, 50 in descending order.\nAnswer: 50, 32, -15212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 26724 a multiple of 524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c**3 + 15*c**2 - 62*c + 6. What is the remainder when 388 is divided by v(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -62.1 + 35. Let f = j - -27. Let s = 3.4 + -3.5. Which is the closest to f? (a) s (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.644017 - 2.622. What is n rounded to 4 decimal places?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1969*l = 1971*l - 2*y + 10, -l + 5*y = 29 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 55 + -22 + -21?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 4*k = -2, -3*k = z - 6 - 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, -5, 3\/5620, 6 in descending order.\nAnswer: 6, 3\/8, 3\/5620, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 885 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32451 and 1362942?\nAnswer: 1362942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*d + 38*d + 51*d + 47*d - 241*d + 53*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 207*u + 35433. Calculate i(-171).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j - 1 - j**4 - 6 + 8)*(-238 + 88 - 53) to the form t*j**2 + p + k*j**3 + q*j + g*j**4 and give p.\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 5) in base 4?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 41990*j**2 - 41983*j**2 - 2 + 15*j.\nAnswer: 7*j**2 + 15*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-5)\/(-10))\/((-1)\/(-598))?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25169135 = -413*r - 7659174. What is the ten thousands digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7395 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2626 is divided by 218.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 a factor of 1016812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(35) - sqrt(140)))\/(-1*sqrt(320)).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3514 = 19*p - 1635. What are the prime factors of p?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2144204 (base 5) in base 16?\nAnswer: 9235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7*(-525)\/1715)\/(54\/28).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1552)\/(-20))\/(27\/(-15) - -2). Suppose -s = -8*f - 4. Does 23 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40642779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 251626270.\nAnswer: 2, 5, 7, 37, 13879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 36 divided by 7316752\nAnswer: 9\/1829188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 341 - 10?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -157, -292, -427, -562?\n\"Answer: -135*t - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*3*10\/(-40))\/(39\/6)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -19, -56, -93, -130?\n\"Answer: -37*d + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p = -41*p + 1472. What is the remainder when 1148 is divided by p?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 87*n**3 - 22*n**3 + 120*n - n**2 + 13*n**3 wrt n?\nAnswer: 468*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17693, 35568, 53819, 72638, 92217, 112748, 134423, 157434?\nAnswer: 181973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1500)*2)\/(sqrt(3) - (sqrt(363) + sqrt(363)*-2 - sqrt(363))).\nAnswer: 20*sqrt(5)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, -1, 52, -2335.\nAnswer: -2335, -1, 31, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13522829 is divided by 3380706?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -f**5\/15 + 7*f**4\/3 - 98*f**3\/3 + 17*f**2\/2 - 13. Let p(d) be the second derivative of a(d). Factor p(l).\nAnswer: -4*(l - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7649 divide 817357464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2696 (base 15) in base 4?\nAnswer: -2000301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*((-6*(-1 + -1*sqrt(11)))**2 - (-1 + sqrt(11)*-2 + sqrt(11) + sqrt(121)\/(sqrt(11)*2)))*-6.\nAnswer: -5197 - 870*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 126455 > 126457?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -99*k**2 - 786*k - 41. Let a be b(-8). Is a at least -74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62\/279*((-21870)\/(-12))\/15.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.6136 - -1.3864. Which is the nearest to -2\/7? (a) -4 (b) -1.1 (c) v (d) -0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4017*x**2 - 4022*x**2 + 12118*x**2 - 4080*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -33*h - 1. Let t be l(-2). Let c = -17 + t. Suppose -2*k - 2*k = -c. Is 12 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**5 - 6 + 8 + 15 + (43*w + 37*w - 107*w)*(2*w**4 + 1 - 1).\nAnswer: -55*w**5 + 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*i - 14*i + 7090333. Let q be (-1 - 2509667)\/(-1) - 1. Suppose 0 = -3*n - q - i. Round n to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 times 247?\nAnswer: 58786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.2 + 0.2. Let u = -7 - r. Let m = u - -6.00000015. What is m rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-42)\/68 + 4\/34. Let j = 0 - 0. Which is the closest to j? (a) s (b) 1\/4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158314 is divided by 52768.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 13*q**3 - 313*q**2 + 26*q - 47. Let w be x(24). Is -3\/8 at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of z**6\/120 + z**5\/30 + z**4\/12 - z**3\/6 + 2*z**2 + 1104. Calculate w(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4920 + 4975. Calculate the greatest common factor of v and 2189.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0091671 to 4 decimal places.\nAnswer: -0.0092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of j**7\/756 + j**6\/135 + j**5\/60 + j**4\/54 - j**3\/2 + 2*j**2. Let x(r) be the first derivative of n(r). Factor x(f).\nAnswer: 2*(f + 1)**2*(5*f + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112c358 (base 13) to base 5.\nAnswer: 2323012133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10 - 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 13\/(-156) - 6\/(-8). Which is the nearest to 1? (a) r (b) 1.5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 5, 89, -2, -241 in descending order.\nAnswer: 89, 5, 0, -2, -3, -241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.3 - 1.17. Let m = -2.82 + 2.29. Let j = p + m. What is the smallest value in -0.02, j, 2\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60431 divided by -6.\nAnswer: -60431\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -13*g**2 + 28*g - 1. Let j(k) = -k. What is d(j(i))?\nAnswer: -13*i**2 - 28*i - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 1:31 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -539473, -2\/13?\nAnswer: -539473","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 15*a - 17 = -13*a, -2*s + 30 = 5*a. Solve 4*o + s*t + 5 = 0, 4*t = -4*o + 5*t + 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -o**9\/2520 + o**5\/30 - o**4\/8 - 3*o**2. Let k(w) be the second derivative of f(w). Differentiate k(z) with respect to z.\nAnswer: -24*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 118*r + 3541. Let d be i(-30). Sort -0.1, -4, d, 1572 in increasing order.\nAnswer: -4, -0.1, d, 1572","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38970 and 1170?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a = 8*a + 54. Does 18 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112021102001 + 212111?\nAnswer: 112022021112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 1, 11\/7, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(209)*-3)\/sqrt(11))**2 - (4 + -1 + sqrt(2736)).\nAnswer: -12*sqrt(19) + 170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -3, -3\/2, 6.5, 0.4?\nAnswer: 6.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3023\/18104 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 3*b + 6. Let l be ((-2)\/(-6) + 0\/2)*b. What is the tens digit of (0 + 4 + 50)\/l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 e when two letters picked without replacement from bsctbse?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9822489949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -559948*d**3*y + 2*d**3 + 6*d**2 + 93*d*y + 179*d - 215 wrt d.\nAnswer: -3359688*d*y + 12*d + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1197.95 to the nearest ten.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**3 - 49*a**2 - 809*a + 19941. What is v(24)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -665*o = -260*o - 217*o - 252*o - 1728 for o.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93801000 is divided by 1598.\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 13 - 3)*(-2*f**2 + 2*f**2 - f**2 - 6*f**2 + 3*f**2 + 2*f**2 + (-2*f + 2 - 2)*(3*f + 0*f - f)) in the form m*f + i + o*f**2 and give o.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21433 - 16097 = -10*x. Is (2\/4)\/(x\/938 + -4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 1 = -13. Suppose -5 + x = -r. Suppose 4*i = v - 9, r*i = -5*v + 4*i + 64. Solve 5*y - 6 = -f + y, -5*y = 4*f - v for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q + 28. Let j = 151 + -109. Calculate the smallest common multiple of j and p(-8).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(4\/3)\/x**7*(x*x**(1\/4))**(-2\/15))**(-29) assuming x is positive.\nAnswer: x**(1015\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 852 = -0*p. What is the common denominator of p\/(-24)*(4\/(-5) - -1) and -113\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 22 = -4*i, -2*i - 4*z = -4*i - 14. Suppose -3*d - i*b = 3 - 69, d + 3*b - 22 = 0. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/54950 and -101\/163280.\nAnswer: 5714800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -323 + 517. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z. Let v(i) = 2*i**2 - 12*i + 2. Let u(j) = -1024*j**2 + 120*j - 20. Let p(q) = -u(q) - 10*v(q). What is r(p(t))?\nAnswer: -2008*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -255 divided by 4\nAnswer: -255\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/4 - (-15)\/12. Solve 1\/7*i**l - 3\/7*i**3 + 0*i - 1\/7*i**5 + 3\/7*i**4 + 0 = 0 for i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*m - 3*i, 3*m - 5*m = -4*i - 8. Suppose 3*r - 7*r + 44 = m. Is r*3\/12*4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3776 divided by -4\nAnswer: 944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - 23. Let i = -16 - n. What is the greatest common factor of i and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pqalb. Give prob of picking 1 p and 1 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6, -3, -518, 31.\nAnswer: -518, -6, -4, -3, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -13*n - 4*n**2 + 9*n + 11*n**2. Let i(o) = -4*o**2 + 4*o - 5. Let w(m) = -3*m**2 + 3*m - 4. Let h(u) = -4*i(u) + 5*w(u). Give 4*h(d) - q(d).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -311814\nAnswer: 155907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a = -11*a. Suppose -5*s - 4*n + 51 = a, 2*n = 3 + 5. Suppose s*r - 16*r + 45 = 0. Solve -r = 4*p - 13 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14071094 is divided by 921.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -13, -29, -49, -73, -101, -133?\n\"Answer: -2*a**2 - 10*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -77*t**4\/12 + 12*t**3 + 89*t - 2. Find the second derivative of c(j) wrt j.\nAnswer: -154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3508 divided by -1754.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6349787483?\nAnswer: 13, 53, 101, 7019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(2280\/(-2968)) - 4)\/(18\/60).\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -936 - -952. Suppose l - 104 = -k. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away 0.68948?\nAnswer: -2.68948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23336822 and 1798.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1045, 1035, 1025?\n\"Answer: -10*o + 1055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 16*v - 52. What is the lowest common multiple of c(19) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14536556 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 m = 1.47 + -1.7705. Let s = 1.7 - 2. Let i = s - m. What is i rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13855 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-32) - (-18)\/(-24)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -0.18, 1, -18, -2, 0.039?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20193882 divided by 3.\nAnswer: -6731294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, u: 6, k: 4}. What is prob of picking 1 v and 1 k?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 - 58. Let h = f + 52. Suppose -6696*j = -6717*j + 735. Calculate the greatest common factor of h and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -1\/5 (b) -1\/2 (c) -719 (d) -0.1 (e) -25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 7, 0.5, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*n + 33 = 0, 5*n - 7 = -2. Let a(m) = m**3 - 6*m**2 - 5*m + 8. Let d be a(7). Let k = d + x. Which is smaller: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 25\/4 of a kilogram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1902\/2 - -3 - (3 - 7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-48)\/(-819) + (4 - 82\/21). Let t = 0.142 - 0.332. Which is the smallest value? (a) 4 (b) t (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41 and 30541679.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-2 - -6) - (13 + 12 + -52 + 29).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -88 + 88 - 5*p + p. Let c(m) = -m + 2. Let y(d) = -15*d + 33. Let n(x) = -33*c(x) + 2*y(x). Calculate z(n(i)).\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 1713*s**2 + 1714*s + 43. Let w(d) = 571*d**2 + 571*d + 12. Let m(g) = 4*f(g) - 14*w(g). Determine o, given that m(o) = 0.\nAnswer: -1, 2\/571","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39121 and 2204?\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (-28 - -8 - -51)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.074 + 0.074. Suppose -5*z - 11 = 3*j, z - j = j + 3. What is the second biggest value in u, 2, z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s - 142 = -9*s + 66 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -97 + 161. Let d = 52 - y. Let x be ((-18)\/d)\/((-6)\/(-8)) - -1. Solve -x*p - p = 12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*p - 3 + 3.\nAnswer: -103*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78*10\/(-80)*(3\/3)\/3.\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wjwj when four letters picked without replacement from jjww?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (5 - -4)) + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ghzh when four letters picked without replacement from hghhhhzgz?\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1620)*6 - sqrt(1620))*-1)\/(-3*sqrt(144) - ((sqrt(24) + sqrt(96))\/sqrt(6) + sqrt(4))).\nAnswer: -63*sqrt(5)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of 2*b - 5\/2*b**2 + 0 - 1\/10*b**5 + 2\/3*b**4 + 1\/3*b**3. Let h be i(4). Solve -h*s + 13 = 4*f, 2*f + 5 = 4*s - 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 9:59 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*s + 2*s = -20, 0 = -s - 4. Let f(v) = -v - 6 + 2 + m. Let q(j) = 7*j**2. Give q(f(l)).\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 97971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 - 1623*g + 98280.\nAnswer: (g - 1560)*(g - 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 136, 271, 406, 541, 676, 811?\n\"Answer: 135*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 16*l**2 - 15*l - 2. Let x be f(-17). Let a = 36 + x. Solve 3*r = -a*r - 15 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/(-4))\/((-4)\/16). Let f = -70 + 1332\/19. Let r = 0.2 + 0.3. Which is the closest to 1? (a) i (b) f (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + 6 - 4) + 4. Solve 4*h - l = 13 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 66795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (114\/(-11552)*-1102)\/(2\/(-16)).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-2) + 201305\/(-25980). Let n = c + -2\/1299. Calculate the common denominator of n and -89\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -692 - -2803\/4. Let j = c - 9. Put -3\/5, 3, j in descending order.\nAnswer: 3, j, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -116 - -74. Let d = 9 + s. Let k = -20 - d. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a - 1. Let n(u) = -9*u**2 + 7*u - 5. Let x(i) = -6*h(i) + n(i). Suppose 9 + 61 = -14*w. Let j(o) = 14*o**2 - 2*o - 2. What is w*j(q) - 8*x(q)?\nAnswer: 2*q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51507 and 79346.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 12*-612\nAnswer: -7344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 7:17 AM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7391757 divided by 27.\nAnswer: -2463919\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/7*d**4 + 2\/7*d**2 + 380\/7*d - 380\/7*d**3 + 0 = 0. Calculate d.\nAnswer: -190, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 3f4021?\nAnswer: 3f4024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 3*w - 22. Let u = 44 - w. Let p = u - 18. Solve 2*o - 5*y = -4 + 18, p*y + 9 = o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**2 + 34*j + 40. Let k be q(18). Solve 4*r + 15 = 3*g, 0 = k*r - 3*r + 2*g - 10 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11120230 (base 4) to base 13\nAnswer: a06c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 6. Let i = 1925 + -1905. Suppose 2*y - 4 = 2*c, -2*y = h*c - 0*y + i. Sort 4, 2, c, 1 in decreasing order.\nAnswer: 4, 2, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2125179 divided by 3843?\nAnswer: -553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2000*y**4\/11 - 7307400*y**3\/11 + 2192340*y**2\/11 - 219238*y\/11 + 7308\/11.\nAnswer: -2*(y + 3654)*(10*y - 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*a + 5. Let l = a + 21. Calculate the remainder when l is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (8232\/224)\/(15\/4) and 27\/127.\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*f**2 + f**2 + 41*f**2 - 13*f**2 - f in the form z*f + g*f**2 + x and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 46018163 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8156)\/(-12)*(-2)\/(-16). Let z = -265\/3 + g. Find the common denominator of 71\/14 and z.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96, 193, 290, 387, 484, 581?\nAnswer: 678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 8*b**2 - 5*b - 1. Let c = 7 + -11. Let i be ((-2)\/c)\/(3\/42). Does 3 divide d(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times -11.3428?\nAnswer: -102.0852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of 14*l - 8\/9*l**3 - 96 - 25\/3*l**2. Factor y(j).\nAnswer: -2*(j + 7)*(4*j - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85050 is divided by 503.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3*4\/(-12)*-3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w. Let f be m(-1). Let y(a) = 3*a + 4. What is the units digit of y(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -s**7\/3 + 5*s**4\/6 - 9*s. What is the third derivative of x(g) wrt g?\nAnswer: -840*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.2 (b) 1.89 (c) 80 (d) -18\/37 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b. Let x(i) be the third derivative of 2*i**5\/15 + 21*i**2. Determine p(x(w)).\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -963, -965, -967, -969, -971, -973?\n\"Answer: -2*f - 961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -75? (a) -0.5 (b) 2\/21 (c) 170 (d) 14.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3881066*i**4 + 6749993 wrt i.\nAnswer: 15524264*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29234 - -29233. Let x = -48 + 93\/2. Sort 9, w, -2\/3, x.\nAnswer: x, w, -2\/3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -12*q - 9. Let w(x) = -5*x - 4. Calculate -6*v(u) + 13*w(u).\nAnswer: 7*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 425. Let s(x) = -141*x + 7. Determine k(s(m)).\nAnswer: 19881*m**2 - 1974*m + 474","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**2 - 3*a. Let l be 7\/(-14) - 5\/(-2). Let v(q) = -q. Determine l*z(p) - 6*v(p).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 - q**2 + q**3)*(-3 + 3 + 8).\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2547, 1641, 131, -1983, -4701, -8023?\nAnswer: -11949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*k + k - 4*k - 2*k + 19*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -o**9\/60480 - o**8\/10080 + o**7\/2520 + o**6\/360 - 7*o**5\/20 + 14*o**2. Let q(z) be the third derivative of i(z). Give q(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 4*t - 4 - 1, -4*u + 4*t - 4 = 0. Let z be 2 + -2 - -14 - u. Suppose -z = -4*f - 3. Solve f*x + 1 + 2 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.940145us in nanoseconds?\nAnswer: 6940.145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8 + 2)\/(-5 - -3). Let y(f) = -f - 3. Let u be y(-6). Suppose 0 = u*g - 6 - l. Which is the second biggest value? (a) -4 (b) -2\/5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -33 - -148?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does -319 = -316?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 5*d = -4*d. Let h = d + 6. Suppose h*s = -s + 2*s. Solve 3*c + s*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1300 + -30?\nAnswer: 1210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*z - 157 - 46 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 10:28 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 3*q = 4*t + 6, 2*t + 4 = 3*q for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2\/11 (b) -3\/10 (c) -643 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a + 5*b - 12, 28*b = -5*a + 15*b + 72 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 382.93 - 383. Put t, -1, 43, -3 in ascending order.\nAnswer: -3, -1, t, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q + 14. Suppose 2*a - 7*a = 0, 4*a = 4*j + 24. Let t = 0 + j. What are the prime factors of f(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 170 and 7946990.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 10) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxxxttxxtxxxxxxt. What is prob of sequence ttt?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 23*x = -17 + 121, 14*k = 12*k - x + 10 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 28. Suppose -2*y = -2*k - 42, 55 = -y - 2*k + 61. Are y and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*f - 4 - 12*f + 3 + (-1 - 2 + 4)*(f + 0*f + 0*f))*(-2*f - 6*f + 5*f).\nAnswer: 6*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 3*i = -2 + 26, 5*s - 2*i + 9 = 0. Let y(w) = 7*w**2 - w. Let r be y(-2). Is (-2)\/(87\/r + s) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.113 - -4.113. Let x be (-2)\/((11\/1)\/(-1)). Which is the biggest value? (a) s (b) 3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/1)\/(2\/(-4)). Suppose -4*v - h = -32. Suppose -8 = -3*j + 3*c + v, 3*c + 3 = j. What is the lowest common multiple of 7 and j?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105187133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*i = -3*i + 2100. Calculate the common denominator of 55\/84 and 15\/i*(-12)\/147.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 379181?\nAnswer: 379185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 697367614 a multiple of 8290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 12) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 6:19 AM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 102357 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 10:10 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 416096.6 tonnes?\nAnswer: 416096600000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24.85 or -2434\/21?\nAnswer: -2434\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f = 24 - 204. Solve 9 = -2*w - w, f = -3*b - 3*w for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2*l = 8, 4*h - 10 = 2*h + l. Let k be (0\/(36\/h))\/2. Solve 2*x + 1 = -k*n + 3*n, -3 = x + n for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 1)*(5 + 2 - 4)*(j + 3*j + 4*j - 2 - 2*j + 2 + 1 - 1 + j - 2*j + j - j + (-2*j + 4*j - 3*j)*(-2 + 5 - 1) - j + 4*j - 2*j).\nAnswer: 36*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89, 4, 41.\nAnswer: -89, 4, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 111780669*k**3 + 81861798*k**2 wrt k?\nAnswer: 670684014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -630082*v + 630081*v = 5*k - 221, 2*k = 4*v + 106 for k.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -12. Let h(p) = -2*p - 13. Let t(m) = -m - 6. Let b(q) = -3*h(q) + 7*t(q). What is b(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from rxxxurj?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 460 is divided by 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = 2*z - 5*h - 3, 2*z - 102 = -5*h. Let i = z - 33. Let b = 46 - 28. Calculate the smallest common multiple of i and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3. Let s(r) = -51*r**3 - r**2 + 1. Let k(m) = -5*q(m) + s(m). Find the third derivative of k(l) wrt l.\nAnswer: -336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, r: 2, q: 7, z: 4, o: 1}. Give prob of picking 1 z and 1 q.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -10, a + 3*z + 21 = -2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6303278 is divided by 150077?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78775 divided by 4.\nAnswer: -78775\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 16544\/(-6240) - (-18)\/351?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**2 + h + 1. Let c be x(2). Suppose -2 + c = -3*r. Suppose -5*l = -3*l + 10. Sort 4, r, l.\nAnswer: l, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*h**2 + 2*h - 19*h**2 + 172*h**2 - 101 wrt h.\nAnswer: 264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of 2*q**3\/3 + 3*q**2 - 3*q + 2. Suppose 4*a = 4*f + 12, -2*f - 16 = -5*a + a. Is t(a) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1855177 is divided by 115.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 6*x**2 + 2*x**3 - 10*x + 10*x - 4*x**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 253721 and 6786.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 28, 31, 29, -2, -4.\nAnswer: -4, -2, 4, 28, 29, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 2 = -k, -18 = -5*k + 79*s - 73*s for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48 + -46. Solve r + f = -2 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7884821081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 12*z**2 - 14*z + 15. Let q be s(13). Suppose -l = -4*p - 0*l + 509, -10 = q*l. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220590 is divided by 102?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5753961.\nAnswer: 3, 639329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*j**2 + j + 16*j**2 - 3*j - 4*j**3 as d + b*j**3 + o*j**2 + n*j and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 207 divide 17388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 67, 263, 669, 1375, 2471, 4047?\n\"Answer: 15*s**3 + 15*s**2 + 46*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-131)*-1*3\/6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 11*l**2 + l - 8. Let x be d(11). Factor 1 - 3*n**2 + 3*n**4 + 1 - 3*n**x + 3*n - 2.\nAnswer: 3*n*(n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = v - 17, 0 = 2*v + 4*k + 6 + 2. What is the third derivative of -6*s**6 + 13*s**6 - 2*s**2 - 6*s**v wrt s?\nAnswer: 840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1265 and 35.\nAnswer: 8855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35160 and 1913290?\nAnswer: 22959480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 240, -962, -7168, -21816, -48344?\nAnswer: -90190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5177, -2, -3\/8?\nAnswer: 5177","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.95 - 4. Let k = m + 0.55. Let w = 33 - 34. Which is the third biggest value? (a) k (b) w (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -6\/13, 1\/3, 33, 13, -1 in descending order.\nAnswer: 33, 13, 1\/3, -6\/13, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5242 + 5242.09479. Round o to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 5:45 PM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19147?\nAnswer: 41, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 223597 and 5181?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -2549?\nAnswer: -2554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -5874*l + 411190. Determine k(70).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a (base 12) in base 6?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 - 11 - 67*o - 3 to the form v*o + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 0.01. Let z = h + 0.01. Let j = 4 + -3. Put j, -0.2, z in decreasing order.\nAnswer: j, z, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -848*q + 8240 - 608 = 0 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -398*a + 1047*a + 3602 + 13921 for a.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 74553.9 + -80306. What is w rounded to the nearest 100?\nAnswer: -5800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h\/(h*h**(2\/11))))**(-1\/7))**26)**(-17) assuming h is positive.\nAnswer: h**(5746\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1223171475?\nAnswer: 3, 5, 47, 353, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 40*c**2 + 73*c - 1336. What is b(39)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 4:12 PM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1726, -12192, -40598, -95914, -187110, -323156, -513022?\nAnswer: -765678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 26*c**2 - 1022*c - 17. Give s(39).\nAnswer: -329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2131.47 + -2841.338. Let m = 710 + o. Is m not equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17332 divided by -2.\nAnswer: 8666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*y - 11*y + 5*y**3 - 21*y.\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 3*i + 1, 2*g = 1289776*i - 1289771*i + 7 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 6:07 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21067\/7196 + -1\/1028. Let p = a + 31\/7. What is the fourth smallest value in -0.3, 1, 5, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, c: 3, i: 1, z: 2, s: 6}. Give prob of sequence cuc.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvv. Give prob of sequence vvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -3. Solve -2*k + 4*p - r = 0, 3*k - 5*p + 4 = 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of 0*n + 3*n**2 + 1\/24*n**4 - 27 + 23\/6*n**3 + 1\/3*n**5. Find the second derivative of j(g) wrt g.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7534, -15073, -22626, -30199, -37798?\n\"Answer: -z**3 - z**2 - 7529*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = -4*l + 249. Let y = -15 + 31. Solve -9*z = 4*f - 4*z - l, y = 4*f + 4*z for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 28\/(-8) - (-2 - 1). Let o be 2*(70\/(-140))\/((-15)\/2). Which is the second biggest value? (a) o (b) -9 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19726916 and 55749980?\nAnswer: 1282249540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 928550 to the power of 1\/3, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2b4c + 8558?\nAnswer: 5709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12 or 2205?\nAnswer: 2205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -5. Let v be (-4 - (2 - -4))\/(-2). Let d be (-2 + 1)*2 + v. Solve -f*r - d*r - 20 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1823 and 116.285.\nAnswer: 116.1027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -0.439, 0, -2\/9, 4, -0.3?\nAnswer: -0.439","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 239 - 547 = 5*b + 1305, -5*b = 0. Calculate the remainder when c is divided by 70.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (156\/(-10))\/((52\/156)\/(5\/(-9))).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 33*i + 1785. Let r(f) = -7*f**2 + 17. Let s(b) = b**2 - 2. Calculate i*s(u) + 6*r(u).\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 - (-3 - (-3 - (4 + 2)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -457 + 452. Let j(r) = -r - 5. Let u(x) = x + 6. What is t*u(b) - 6*j(b)?\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -7*y - 20. Let v(d) = -4*d - 11. Determine 3*o(c) - 5*v(c).\nAnswer: -c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -97*s + 70033 + 473652. List the prime factors of s.\nAnswer: 5, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 13*w - 25. What is v(15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000131890601 rounded to six decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - 1. Calculate the remainder when ((-96)\/(-6))\/(s\/(-6)) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bry when three letters picked without replacement from chhychcbhchrhchr.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 111, 435, 953, 1647, 2499, 3491, 4605, 5823?\nAnswer: 7127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**21*m)*m**(-4\/17))**(-7\/3) assuming m is positive.\nAnswer: m**(2527\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 11:35 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27262, 55790, 84318?\nAnswer: 112846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-1\/8))\/y**(-1\/4))**(5\/8)*y**7*y*y**(-7)*(y**0)**8 assuming y is positive.\nAnswer: y**(119\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9 and 0.086?\nAnswer: 8.914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 35171950?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 n when four letters picked without replacement from {y: 1, n: 9, o: 9}?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 11380, 22657, 33934, 45211?\n\"Answer: 11277*g + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -x**8\/1176 - 11*x**7\/735 - 19*x**6\/210 - 26*x**5\/105 - 2*x**4\/7 - 36*x**2 - x. Determine v so that h(v) = 0.\nAnswer: -6, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 604 = 2*n - n, -3*n = -a - 1772. Does 4 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 2*x + 18 = 0, -7*i - x - 8 = -5*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jjnjnjjnnjjjjjnj.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 7:27 AM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/(-63) + 1980 + -1990 + -33*6\/(-21).\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1721 by -1.\nAnswer: -1721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55566048?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 1:38 PM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 393787*o - 3544074. What is h(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1617302 rounded to two decimal places?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2*h - 88 = 0, 0*h = -2*c - 4*h + 32. Calculate the least common multiple of c and 20.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -767086.2 to the nearest 1000.\nAnswer: -767000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-312)\/(-1092) + 12468\/21. Calculate the highest common factor of d and 1809.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, h: 2, b: 3}. What is prob of picking 2 b and 1 h?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(700)*4)**2.\nAnswer: 11198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5049 take away 16072471?\nAnswer: -16077520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/42)\/(16*(-39)\/14560))\/((-4)\/(-2))\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/128? (a) 3\/5 (b) 1.9 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 8 = 2*s, 13 = 5*b - s + 3*s for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3402513208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 458.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x**3 - x**3 + 6*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-12))\/((-80)\/(-40))*4*-18?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1)**5*w**5\/w*w**6*((w**(-7)*w)\/w**(-1\/4))**(4\/31) assuming w is positive.\nAnswer: w**(442\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14733*j - 3254*j - 812*j - 24440*j.\nAnswer: -43239*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52 + -88. What is the least common multiple of (-35 - p)\/(2\/12) and ((-6)\/5)\/(2\/(-10))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 4*y**2 + 12*y + 14. What is the tens digit of a(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4839927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 441?\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -69*b**2 - 1152*b + 368. What is x(-17)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yz when two letters picked without replacement from {z: 8, y: 5}?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5817477?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1298 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 6:47 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 3 + (-3)\/(24\/32). Let g = 0.7 + 17.3. What is the smallest value in l, g, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*d = 28*d + 2. Let q be 2\/(-1)*d - 33. Let y = -33 - q. What is the highest common factor of y and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61518920564 + 0.7\nAnswer: -61518920563.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (236 - (108 - -142)) + (-1 - 119)?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**2 + 0*v**2 - 2*v**4 - 2*v**4 + 3*v**4 + 0*v**4 + (-2*v + 2*v**3 + 2*v)*(4*v + v - 4*v) - v**4 - v**4 + 3*v**4.\nAnswer: 2*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y - 4 = 12*y. Let d be 0 + y\/(20\/595). Suppose -d = -4*u + 5. What is the remainder when 91 is divided by u?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/12290 and 47\/452975.\nAnswer: 1113412550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 943 - 943. Solve -18*m - 2*m + 80 = q for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -75 - (57 + -47 - 35)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of 511*a**4\/4 + 1145*a - 766. Find the first derivative of f(q) wrt q.\nAnswer: 1533*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27742 + -934?\nAnswer: 26808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38176?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -39 and 56 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2325 a factor of 2250600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001331553 to seven dps.\nAnswer: -0.0000133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 50*y**2 + 109*y - 304. Give i(52).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 13*f**2 - 15*f + 34. Let s be w(12). What is the second smallest value in 1\/4, 24\/7, s?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*s + 20233 + 2*s - 20183 to the form u + n*s and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 869 is divided by 410?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 3 = -78. Let k = q + -26. Let y(z) = z**3 + 2*z**2 - z. Determine y(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 604 - 581.945. Let b = 31 - 53. Let i = b + a. Round i to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-256)\/12 + 20)\/(4 - 2080\/522)?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 1)*(-4*n + 5*n - 62 + 14).\nAnswer: -3*n + 144","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 164?\nAnswer: -5\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/1709520 and 49\/854760?\nAnswer: 1709520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x + 2*n - 4, -3*x + 2*n = 8 + 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -310775, -621553, -932331, -1243109, -1553887, -1864665?\n\"Answer: -310778*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 4*n + 4. Let s be -2 + 2\/4*0. Let d(p) = 1 + 3*p**2 + 0*p**3 - 5*p**2 + 6*p**3. Let i be d(1). Let q(b) = b**2 + 9*b + 9. What is i*z(m) + s*q(m)?\nAnswer: -2*m**2 + 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-6))\/(15\/(-24*(-1)\/(-9))).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((1*sqrt(931) - sqrt(931) - sqrt(931) - sqrt(931)) + 5)**2*-5 + (1*sqrt(931)*2*-1)**2.\nAnswer: -15021 + 700*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -1766*s**2 + 54747*s - 42. Give z(31).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*q + q**2 + 51*q - 4*q.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -57257 and 638?\nAnswer: 57895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2202964.99 rounded to the nearest 100000?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 4*j**2 + 14*j + 15. Let q be x(-5). Let i be 3 - (-3)\/(q\/(-39)). Factor -4\/5 + i*l**2 + 2\/5*l.\nAnswer: 2*(l - 1)*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18900 + 18881. Let v be 2\/9 + (-100)\/45. What is the nearest to v in l, -2\/3, -0.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17963, -18520, -19077?\nAnswer: -19634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = 10*z - 54. Calculate the highest common factor of z and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-104)\/(-40))\/((-52)\/(-260))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.008 - 0.392. Which is the nearest to -2? (a) 2 (b) o (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 166 = -2*r. Let s be ((-16)\/6 - -3) + 13\/(-39). Suppose 3*h = -2*a + 56, -4*h + s*h = a - r. What are the prime factors of h?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -158436, -316861, -475270, -633663, -792040, -950401, -1108746?\n\"Answer: 8*l**2 - 158449*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*l**2 + l**3 + 0*l**3 + 0*l**3 - 3*l**3 to z + p*l + t*l**3 + f*l**2 and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4043*h + 3803*h + 6480 = 0 for h.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 52*d + 3 - 116*d + 13*d to k*d + o and give k.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-1)\/(-3))\/(1\/(150\/(-5))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -57*c**3*u**2 - 110*c**3 + 2*c**2 wrt u?\nAnswer: -114*c**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 0.5 (c) 8298\/19 (d) -105\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18)\/(-3 + 9) + 3. Factor d + 0*j - 3\/2*j**2 - 1\/2*j**3.\nAnswer: -j**2*(j + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 4*c - 25 + 3, 4*g - c - 13 = 0. Let p = 0 - -5. Solve 3*b + g = p for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3718 greater than -48324\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwoowwwwwwwwwwwwwwow. What is prob of sequence wo?\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 64\/126 - (-22)\/(-99). What is the nearest to 1 in -4, z, -0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-55)*(-2)\/((-30)\/(-75)*2)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 58750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*x**2 + 13495602*x + 11996112.\nAnswer: -3*(x - 499838)*(9*x + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a - 10. Let z be f(4). Solve 3*g - z*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**2*j**3*l - 2*f**2*j**2*l**2 + 249*f*j**2 - 2*f*l**2 - 349*j**3*l**2 wrt j.\nAnswer: 6*f**2*l - 2094*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*d + 18 = -46, d = 4*r - 92. What are the prime factors of r?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 163*x + 1283. Calculate g(-12).\nAnswer: -673","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-65 - -64) + 5 + 0 + -2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 267845?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -208204350 or -208204351?\nAnswer: -208204350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3920, 3895, 3876, 3863?\nAnswer: 3856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3309 a factor of 109422894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (1 - ((59 + -46 - (2 + 1)) + -3))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.04 - 0.16. Let d = h + -0.1. Let i = -1 - -2. Which is greater: d or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l = -4*v - 7*l + 28, 0 = -2*v - 3*l - 2. Which is the second biggest value? (a) -0.1 (b) 0.016 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*x - 874 + 26 = 0, -3*k + 1281 = 3*x. Let f = k - 226. What is the greatest common divisor of 8 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84679303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cfcf when four letters picked without replacement from ffffcccf?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9cda5 + 1?\nAnswer: 9cda6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 968 and 1672?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -acb7 - 53?\nAnswer: -b03a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6*5\/(15\/(-6)). Let k = i + -10. Suppose -k*z + 3*z - 13 = 0. Put z, 4, -0.1 in decreasing order.\nAnswer: z, 4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39940, -79885, -119830?\nAnswer: -159775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -56, -7, 82, 217, 404, 649, 958, 1337?\n\"Answer: d**3 + 14*d**2 - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3292653.242103 - -4755.446897. Let g = 3297392.68899979 - t. Let m = 16 + g. Round m to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -2\/15, 8506?\nAnswer: 8506","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2563.991 rounded to the nearest 10?\nAnswer: 2560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -11 - -5 - 0 - -13?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + 4. What is the lowest common multiple of 1*9 + (8 - 5) and o?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27380*-0.9.\nAnswer: -24642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 11*g**3 + 18*g**2 - 11*g - 8. Let o(b) = 7*b**3 + 12*b**2 - 7*b - 5. Let y(k) = 5*n(k) - 8*o(k). What is y(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2852*i - 1428*i - 1416*i - 2*i**2. Let w(h) = 34*h**2. Determine t(w(s)).\nAnswer: -2312*s**4 + 272*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w**2 + w. Let s(z) = 2*z. Calculate s(l(j)).\nAnswer: 6*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -13*-5034084\nAnswer: 65443092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -35431456\/91 or -389357?\nAnswer: -35431456\/91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of w**7\/210 + w**6\/45 - 7*w**3\/6 + 8*w**2. Let p(h) be the first derivative of c(h). Find the third derivative of p(l) wrt l.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 5*t**2 - 7*t - 2. Suppose 6 = -2*y - 4. Let q be d(y). Solve -8 = 5*o - q for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21 in -1.7, -5, -881?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = d - 118, 4*d + 0*c = c + 457. Suppose -d = 3*u - 8*u. Solve -5*w + 4*f - u = -63, 2*w - 3*f - 23 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/((-12)\/27)*-1. Suppose -1183*x = -1187*x. Solve 3*u = -x*u + h for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -665761 + 965270. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 + 4*o - 2*o - 74 + 39.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -15.3. Let i = -17.98 - -36.98. Which is the closest to 0? (a) -1 (b) i (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 36 from 0.10892.\nAnswer: -35.89108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1368)\/(-95)*(-435)\/(-4). What is the greatest common factor of 464 and a?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*2*(9 - 7). Suppose -5 = -2*a - y, -4*a + 3*y - 7*y = -w. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, l: 1, k: 3, v: 1, n: 3, b: 4}. What is prob of picking 1 b, 1 l, and 1 t?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 213 - 359. Which is greater: -148 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 + 455965*h - 455970.\nAnswer: 5*(h - 1)*(h + 91194)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -402*t - 2248 = 8606 for t.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225276 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.04858 - -0.1\nAnswer: 0.14858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (195\/(-35))\/13 - (1 - (-2098)\/(-1792)) and -73\/12?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 763 (base 9) in base 6?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y = 3*y - 24. Let z = -11 + 16. Let f(w) = w**2 - 5. Let l(k) = k**2 - 4. What is y*f(r) + z*l(r)?\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2021443 (base 6) to base 11\nAnswer: 66388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 43320 divided by -2166\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900)*3*-6*3)**2.\nAnswer: 5540400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 290947471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -110*o**2 - 4*o + 6. Let a(h) = -9483*h. Calculate a(m(x)).\nAnswer: 1043130*x**2 + 37932*x - 56898","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 3 + 3 = 0. Suppose n - 2*b - q + 2 = 0, -2*n + 5*b = 4. Let o = -1 + 5. Solve 0 = 5*j + o - 14, n*j = 5*p - 19 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 2, 1\/4, -0.3, 0.5 in descending order.\nAnswer: 2, 0.5, 0.3, 1\/4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -285973\/6574 + 2\/3287. Find the common denominator of 50\/11 and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11635345 by 5.\nAnswer: -2327069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y - 10*y**2 + 43*y**2 + y.\nAnswer: 33*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 3*i**2 - 5*i - 3. Let f be s(-3). Let j = f - 7. Calculate the smallest common multiple of j and (1\/(-3))\/(1\/(-3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - h**2 + 5*h - 5. Let p be m(2). Suppose -5*i + 11 + p = 0, -3*i = 3*k. Let v be -69003 + (-4)\/k*3. Round v to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -924*j - 6624 + 2012*j - 1085*j as v*j + w and give w.\nAnswer: -6624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1201313291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 h when four letters picked without replacement from {g: 4, h: 1, x: 1, b: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1311 from 7.\nAnswer: 1318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**19*n**(1\/12) assuming n is positive.\nAnswer: n**(-215\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 7*g + 2)*(-44*g - 9*g + g + 3*g + 59) in the form q + z*g**2 + a*g and give a.\nAnswer: 413","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1975 and 70750.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 99\/(-66)*(-2)\/(-21)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**4 - 60*o**3 + 60*o**3 - 23 + (o**3 + 0*o**3 - 3*o**3)*(-o + o + 2*o) + 0*o**4 + o**4 + 5*o**4.\nAnswer: 4*o**4 - 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/25 of a centimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 4\/7, 10 in decreasing order.\nAnswer: 10, 5, 4\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kakvkuaavuak?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53*g - 2991 + 2991 to f + j*g and give j.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -28 and 1725265.\nAnswer: 1725237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -3*b**4\/4 - 2*b**3\/3 + 9*b. Find the second derivative of o(c) wrt c.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 42*i + 2124. Calculate the lowest common multiple of 30 and y(-50).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**2 - 329*g - 2496. Let b be s(-8). Calculate the highest common divisor of b and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-108) - 9799\/2214\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5336000 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-6)\/(-11)*(-2651)\/482)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = 2*m - 68, -m + 754 = n + 738 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -249 - -288. Let m be (62\/465)\/(8\/10). What is the closest to z in -0.5, 0.4, m, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**2 - 2*j**2 + j**4 + (-1 + 1 + 2*j**2)*(-j**2 - 4 + 4) - 4*j**4 + 2*j**4 + 4*j**4 + 11*j**4 + 14*j**4 - 2*j**4.\nAnswer: 24*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-6) + 24\/(-45). Suppose k + 24 = 5*k. Suppose -d - d = -k. Sort v, -5, d in descending order.\nAnswer: d, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 7 = -1, 4*a = -s + 9. What is the remainder when 98 is divided by s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5660918671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68814, -68820, -68836, -68868, -68922, -69004?\nAnswer: -69120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-9 + 4 + 4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 31*6\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 20*k - 101. Let m be r(-12). What is the closest to -3 in m, -0.3, 0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 1. What is the first derivative of -t*j**2 + 0 + 3 - 5 wrt j?\nAnswer: -6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*b = -5*k + 51*b - 23, 5*k - 2*b + 188 - 157 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 6 = 2. Let v be (-2)\/(i + 2) - -4. Solve -5*z + 3*l + 30 + 10 = 0, -v*l = 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -2. Suppose 20*p - 32 = 8. Solve p*u + g = u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/76*4*(-18)\/54?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -48*l. Let v(p) = -24735*p**2 - 3*p. Calculate v(t(y)).\nAnswer: -56989440*y**2 + 144*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -x**3\/3 + 6*x**2 - 31*x + 39. Let t be d(7). Find w such that 1\/2*w**3 + 0*w**2 + 0 - 1\/2*w**t + 0*w = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.4 - -1.5. Which is the closest to t? (a) -4 (b) -1\/5 (c) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 199\/330 and (-249)\/50*(-1240)\/16368.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1192.6 + 1329. Round o to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2454, 9805, 22056, 39207, 61258, 88209?\n\"Answer: 2450*s**2 + s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12828 is divided by 142.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16813.\nAnswer: 17, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 65.5 + -66. Which is the third biggest value? (a) h (b) -1\/4 (c) -6 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -74*t + 156*t - t**2 - 75*t - 2. Let u = 10 + -4. Determine i(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 67*a**3 - 5*a**2 - 4*a + 3. Let i be u(4). Suppose 9*y - 24985 + i = 0. Round y to the nearest 100.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -10 + 4 + -30 + 36?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 3. Let d(q) = -q + 1. Let o(r) = r + 2. Let n = 3105 + -3106. Give n*o(z) + t*d(z).\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 81? (a) -1 (b) -1.4 (c) 2\/11 (d) 4\/7 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -z**4\/6 + z - 3. Let a(h) be the first derivative of o(h). Factor a(r).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 less than 3366434226241?\nAnswer: 3366434226238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 47.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, 0, -5, -0.15713, 0.02 in increasing order.\nAnswer: -5, -0.15713, -2\/17, 0, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.327 + -0.827. Which is the closest to 0.2? (a) 0.058 (b) p (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*d - 22*d + 520 = 0. Let o be (-8)\/d - (-500)\/(-1560). What is the fourth smallest value in -203, 0.1, o, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -4*j + 9. What is g(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - f = -6, 0 = 3*c + f + 3*f - 11. Suppose 0 = 3*h - 2 - c, -4*l = -4*h - 40. Calculate the greatest common divisor of 121 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -51 - -54. Calculate the highest common divisor of 3 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -366*s - 704 = -322*s for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27795490*a + 14393642 wrt a?\nAnswer: 27795490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15227028*p = 15227013*p + 735 for p.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 (base 8) in base 2?\nAnswer: -11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 10 = -3*w, 56*m - 2*w + 5 = 57*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92, 73, 28, -55, -188, -383, -652?\nAnswer: -1007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7, -27, -99, -221, -405?\n\"Answer: -2*l**3 - 7*l**2 + l + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + 11*h - 5. Let i be d(11). Let w = i + 10. Solve -4*v - n = -3*n, 4*n = 3*v + w for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 5*g**3 + 16*g**2 - 8*g - 2. Calculate f(-6).\nAnswer: -458","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -82003b (base 12) in base 4?\nAnswer: -13300020233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.062122 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19 by 101.\nAnswer: 19\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51 + -58. Let r be l + (2 - -1) - 19. Let b(f) = f**2 + 21*f + 55. List the prime factors of b(r).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14.854 in 0, -1\/6, 1\/43?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3 + 4640*n**2 - 27975*n + 42030.\nAnswer: 5*(n - 3)**2*(n + 934)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) -6.1 (c) -5 (d) 2\/7 (e) -2\/21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of 7\/2*n**2 + n - 1\/3*n**3 - 1. What is the units digit of x(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.2804821 to zero decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2116227 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -4*r + 12. Let a(v) = 2*v + r - 2 - v. Suppose -11*h = 2*h + 52. Give a(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 r when two letters picked without replacement from tqfdr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 291491399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 15*u**4 - 5*u**3 - 5*u**2 + 29. Let p(h) = 22*h**4 - 8*h**3 - 8*h**2 + 44. Let t(z) = -8*d(z) + 5*p(z). Find the first derivative of t(a) wrt a.\nAnswer: -40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -1193*l**2. Let p(d) = 9*d - 16. Give p(h(r)).\nAnswer: -10737*r**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 44 + 3?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 217\/5 - 43. Let s = -40 + 45. What is the closest to a in 0.3, s, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 - 14.1. Let u = f + 13.6. Let n = -3.9 - 0.1. Sort n, -1, u in increasing order.\nAnswer: n, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9936603?\nAnswer: 3, 59, 18713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -29823539 minus 0.4?\nAnswer: -29823539.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 93 + 85. Let d(s) be the third derivative of -1\/120*s**6 + 1\/30*s**5 - 5\/6*s**3 + 0 + 1\/4*s**c + 0*s - 5*s**2. Determine d(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + -6. Let k = s + 9. Find the first derivative of 7*u**3 - 7 - k*u**3 + 3 - 3*u**3 wrt u.\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.1 - -0.1. Let x = 36\/5 + -39\/5. Which is the third biggest value? (a) x (b) f (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7181 by 70.\nAnswer: -7181\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -0.4 (b) -4\/13 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 18410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3 = -0*x, -11 = 2*h + 5*x. Let u(o) = -o**2 - 2*o + 3. Give u(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of 3\/2*u**2 - 10 - 1\/4*u**4 + 3*u + 4\/3*u**3. Let t be r(3). Solve 0 = a - 6*a + 4*c + t, -3*a + 19 = 4*c for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a**3 - 30*a**2 - 80*a = 0.\nAnswer: -2, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/25 of a milligram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-57)\/(-15) - (-2 - (-27)\/15). Solve -g*d + 4 = -2*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 131 - 98. Suppose 82 = 7*u + q. Factor -4*o**4 - 4*o**2 - 12*o**5 + u*o**4 + 11*o**5.\nAnswer: -o**2*(o - 2)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7968496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (3 - (16 - -20)) + 15?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - a22b3d?\nAnswer: -a22b3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 728057?\nAnswer: 11, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**2 - 188*a - 4418 = 0.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*g**4 + 233*g + 9956 wrt g.\nAnswer: -60*g**3 + 233","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.1 - -2.9. Let v = 0 - 2. What is the third biggest value in -4, v, m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 29 = -2*n, 0 = 114*m - 117*m + 6*n - 27 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*d**3 - 11975*d**2 - 113*d + 4449?\nAnswer: -36*d - 23950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w + 11. Let s be b(-7). Suppose a - 2*a + 33 = s*m, 0 = a + 5*m - 34. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -86 - -194. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.51966 milligrams to tonnes.\nAnswer: 0.00000004751966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83697179 is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 15*h + 14 = 11*h, -5*t = -4*h - 30 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 65 - 46. Let v be g\/7 - 2\/(-7). Let l = v + 82. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4615\/138966 - -1\/5244. Is 1 at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 456564 is divided by 263?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -29566, -118345, -266318, -473479, -739822, -1065341?\n\"Answer: w**3 - 29603*w**2 + 23*w + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -c - 3. Which is smaller: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) -0.823 (c) 0.1 (d) -0.5 (e) 1.8 (f) -0.02 (g) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3729498?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of 36*n**7\/7 + 2119*n**3\/3 - 1529. Find the third derivative of q(o) wrt o.\nAnswer: 4320*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4 + -0.5. Let r be (-208)\/(-224) - (-2)\/(-4) - (-158)\/(-434). Which is the smallest value? (a) -0.2 (b) w (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 253*u**3 - 97*u**3 - 158*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 12:56 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 48 (base 11) to base 6\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-6)*1098\/1220)\/(6\/288)\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6511702 (base 9) in base 12?\nAnswer: -1204832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1125, -3550, -5961, -8358, -10741?\n\"Answer: 7*m**2 - 2446*m + 1314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**2 - 5*d + 33. Calculate t(0).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 275637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 5*w = -15, -4*d + 8*d + w = 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b - 13. Let z be w(8). Let i be 2\/(4 - z) - 1 - -63. Let o = -54 + i. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 12:06 AM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55 and 240438?\nAnswer: 1202190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-6)\/d)\/(d**(-10)*d)*(d\/(d*(d*d\/(d*d*d**(-2)*d*d))\/d))**(5\/9) assuming d is positive.\nAnswer: d**(23\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 99 - -42. What are the prime factors of c?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111001100010000110110 - -110?\nAnswer: -111001100010000110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -28559375, -28559377, -28559379, -28559381, -28559383, -28559385?\n\"Answer: -2*o - 28559373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c. Let w(y) = -y - 3. Let u(s) = -4*s - 11. Let o(x) = -6*u(x) + 22*w(x). Calculate o(i(g)).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 9798569 to the nearest 100000.\nAnswer: 9800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 10*a**2 + 10*a - 13. Let d be v(-13). Suppose -2*k = 4*c + 43 - 427, -3*k - d = -4*c. Does 15 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/10 of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.061 from 1.5245.\nAnswer: 1.4635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3 + 3 = 0. Let v(i) = 3 + i + 3*i - c. Give v(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 98 + -11. List the prime factors of f.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 8*x**2 - 2*x - 9. Let z be o(-8). Let w(q) = 8*q - 7. Let t = -2 - -19. What is the remainder when w(z) is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -892174 = -77*c - 226401 + 414537. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 0 (c) 0.4 (d) 332430\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -147893.\nAnswer: 4\/147893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222 = -43*x + 40*x. Let l = 30 - 86. Let d = x + l. Calculate the smallest common multiple of 4 and d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*s)*(2*s**3 + 10 - 10) + 8*s - 4*s**4 - 8*s - s**4 - 4*s**4 + 3*s**4.\nAnswer: -10*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ki when two letters picked without replacement from ccckakackaicq.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(5\/2))\/n*n*(n**(-1\/6)\/n)\/n assuming n is positive.\nAnswer: n**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1000 is divided by 901?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 662.\nAnswer: 3\/331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 7*k**3 - 71*k**2 + 7*k - 62. Give p(7).\nAnswer: -1091","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - u. Let n be p(-1). Solve b + 2 = -n for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39008 and 597632?\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (58 - 10) + -66 + (-6 - (4 - 2)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*f + 9*f - 304 = -f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -8028*l + 2555*l - 374 + 2617*l + 1014 + l**2 + 2692*l = 0.\nAnswer: 4, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*j + 74*j + 18*j)*(4 - 4 - 2)*(3 + 8 + 0).\nAnswer: -2552*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -7 - 6*g**3 + 6*g**2 + 11*g**3 - 2*g - 4*g**3 + 0*g. What is o(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1538 - 799. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 256545 and 1905.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 771121.2 kilograms to tonnes.\nAnswer: 771.1212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -4. Suppose 4 = -3*g - 14. Let a(i) = -i - 3. Let j(o) = g*a(o) + 5*n(o). Let h(d) = -3*d + 1. What is 7*h(f) + 4*j(f)?\nAnswer: 3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 19711*q**2 - 31175*q. Let w(n) = -1643*n**2 + 2598*n. Let d(i) = -2*p(i) - 25*w(i). Find the second derivative of d(r) wrt r.\nAnswer: 3306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51 - (22 + (-6 - 29))) + 2.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 6:51 PM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**5 + 3*z**2 - 3*z**2 + (4*z**3 - 3*z**3 + 2*z**3 + (-2 - 2*z + 2)*(0*z**2 + 3*z**2 - 4*z**2))*(-12*z**2 + 12*z**2 - 5*z**2).\nAnswer: -27*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 6*r + 7. Let d(u) = 6 - 1 + 4*u + 0*u. Suppose 3*b = -5*j + 91, 3*j + 0*j + 4*b - 48 = 0. Suppose 0 = 2*p + 2*p + j. Determine p*o(g) + 7*d(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -239*r + 56*r + 18849. Solve 81 = 23*d - r for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 837725239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04362 rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 22419919567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119, 95, 23, -121, -361, -721?\nAnswer: -1225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -12631060, -25262121, -37893182?\n\"Answer: -12631061*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvnsukvkvkbskv. What is prob of sequence kn?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9841600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -4*n - 3. Let t be c(-6). Let u be 6\/t - 12\/(-7). Suppose -105 = -u*z - 3*z. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 9*n**2 - n + 1. Let c be u(1). Suppose -3*g + c = 27. Let v(b) = b**2 + 6*b - 3. Calculate v(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4440 - -53177\/12. Find the common denominator of n and 26\/2*5\/(-150).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 10:45 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.08, -0.04, 4, 0.4, -69?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5\/(-2)*20268\/(-45)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*s + 4 - 4)*(s + 3*s + 0*s) + s**2 + 0*s**2 - 2*s**2)*(3 + s - 3)*(3 + 0 - 5) to o*s + c + b*s**3 + i*s**2 and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2018, 4029, 6014, 7949, 9810, 11573, 13214?\nAnswer: 14709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42 + 37.6. Let u = -3.96 - 0.04. Let y = i - u. Which is the third smallest value? (a) y (b) 4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 0.1 (c) 5\/514\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23448498?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -1521\nAnswer: -1\/1521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 848, 2105, 3914, 6275, 9188, 12653?\nAnswer: 16670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -580 - -1314. Suppose -2*z = -8 - t. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -15 + 2*a + 6*a - 4*a - 6*a + a. What is j(-7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 826?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, b: 3, q: 1, i: 1, j: 3}. Give prob of sequence llb.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2626498*q - 4*h - 12 = -2626502*q, 65 = -5*q - 11*h for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 s when two letters picked without replacement from {e: 1, s: 2, m: 2, d: 1, u: 2, j: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from hkrrkkrrhkh?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184466.\nAnswer: 2, 92233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/7*g**3 + 0 + 8\/7*g + 4\/7*g**2.\nAnswer: -4*g*(g - 2)*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3924 divide 460886626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -6420125707*z + 6420125707*z + 2*z**2. Let q(o) be the first derivative of 83*o**2\/2 + 1. Calculate j(q(h)).\nAnswer: 13778*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.055666466 + 161?\nAnswer: 160.944333534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 z, and 1 m when three letters picked without replacement from {d: 2, z: 1, o: 3, t: 1, m: 6}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*h - 5*q - 31, 0 = -h + q + 7. Let c = h - 1. Is -2\/9 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 322 divide 20801934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 14 = 4*n, -120*n = -177*n + 3*p + 348 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3*s)*(-2 - 2 + 5)*(1 - 23 + 5)*(1 + 1 - 4)*(0 - 1 + 4).\nAnswer: 306*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5937965777 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 10:35 AM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -44111 * -5.\nAnswer: 220555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293814414?\nAnswer: 2, 3, 16323023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06559 rounded to 3 decimal places?\nAnswer: 0.066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 9:53 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/9)*a**0*(a**1)**(38\/5))\/((a*a*a*a**1*a)**(15\/8))**(6\/11) assuming a is positive.\nAnswer: a**(5143\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -7*b**5\/20 + 7*b**2 + 23*b - 20. Let n(a) be the first derivative of q(a). What is the first derivative of n(v) wrt v?\nAnswer: -21*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7230 + 7508.1. Is j >= 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + j + 1)*(-j**3 + 2*j**3 + 0*j**3) - j**4 + 2*j**4 + 0*j**4)*(-304 + 602 - 274).\nAnswer: 48*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3 = -0. Let o(i) = -i**3 + 2*i**2 + 2*i - 1. Does 5 divide o(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, d: 19}. Give prob of picking 1 b and 1 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1155, -4629, -10435, -18573, -29043?\n\"Answer: -1166*h**2 + 24*h - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 300\/8*((-552)\/30)\/(-46)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 379 < -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**3 - 38532*u**2 - 185280738*u + 2974364192 = 0. What is u?\nAnswer: -9641, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -12*g - 5. Suppose -168 = -w - 2*w. Calculate the remainder when w is divided by s(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 289343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or 3\/26237?\nAnswer: 3\/26237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18\/(-12) + (-773)\/(-2). Suppose 0*x + z = -3*x + 233, -z = 5*x - y. Does 19 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34320501934\/3 + 205026493651\/18. Let p = -49783618 - h. Let o = -22927 + p. Find the common denominator of -39\/4 and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -759550 or -759575?\nAnswer: -759550","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 12 - 4. Suppose 3*o - 2*o = 4*r - 203, r - 42 = b*o. What is the remainder when (-1)\/((-3)\/(-12)) + r is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -1 (c) -3248 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, m: 5, f: 1, j: 4, a: 3}. What is prob of sequence almf?\nAnswer: 5\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.389 - 15.389. What is the closest to -2\/3 in -1\/2, 0.02, 5, m?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*t**3 + 0*t**3 - 5 + 5.\nAnswer: -39*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 344 is divided by 90?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 1. Let z(i) = 3*i**3 + 4. Let t be (-8)\/((-21)\/(168\/(-16))). Determine t*w(h) + z(h).\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*2*(-5)\/4. Let q be 18*4\/18*6. Let o = q + -49\/2. What is the nearest to 1 in t, o, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2812)\/(-296)*2*(-1)\/1.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 11:49 AM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 13 = -c, -r = 2*c - 24. Calculate the greatest common divisor of r and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 0*j**2 - 6*j + 7 - 2. Let b be k(5). Let g(w) = -w**2 + 5. Let h be g(0). Solve 0*x - x - h = b for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*d - 3*d**3 - 4*d)*(2*d - 5*d + 2*d + (-5 + 2 + 4)*(2071 - 2071 + 1276*d)) to y*d + v*d**4 + c*d**3 + z + j*d**2 and give v.\nAnswer: -3825","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(35)\/sqrt(5) + -4 + sqrt(7)) - sqrt(35)\/(sqrt(880)\/sqrt(11)))**2.\nAnswer: -150*sqrt(7) + 6679\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 18224+-149.626303\nAnswer: 18074.373697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8519 and 217728.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5c (base 16) to base 5\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 49 or 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {a: 3, z: 7, i: 9}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -682*b - 475*b - 560*b + 29348 = -383*b for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 23052*u + 69205. Calculate p(-3).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -214, 3, -460, 14, -2 in ascending order.\nAnswer: -460, -214, -2, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2615 is divided by 1270?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 50936397095 and -2.4.\nAnswer: 50936397092.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 4*d**2 - 12*d + 3. Let c be z(-6). Is 10 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 7*k - 6. Let g be i(-8). Let t be (5 - 6)*(-1 - 4\/g). What is the second derivative of -403 - 2*x**t - 31*x + 403 wrt x?\nAnswer: -12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-102 - (15 + (-2 + -14 - -3))) + 19?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7300913, -14601829, -21902745?\n\"Answer: -7300916*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 10. Calculate the least common multiple of 13 and v.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**3 + 2*i**2 + 2*i - 1. Calculate r(-2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 12 = -3*x. Let o = -0.7 + 0.6. Let i = 0 + -0.4. Which is the closest to o? (a) i (b) -3\/2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 7:46 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-293)\/1172*(-36)\/21?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -n**8\/40320 + n**5\/30 + 3*n**2. Let k(u) be the third derivative of p(u). Suppose k(v) = 0. What is v?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hqhhqwwchhh. What is prob of sequence wcq?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -3*v**4\/4 + 2*v**3\/3 + 85*v**2\/2 - 45. Find the second derivative of a(r) wrt r.\nAnswer: -18*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1920156615 a multiple of 559?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**4 + 150*f**3 - 1872*f**2 - 150*f + 1875.\nAnswer: -3*(f - 25)**2*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of 0*n**5 + 1\/36*n**4 + 0*n**2 + 0 - 1\/540*n**6 + 1\/6*n**3 - n. Let z(b) be the second derivative of o(b). Factor z(h).\nAnswer: -2*(h - 1)*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1337563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**(-7\/6))\/g**(-10))**(4\/17) assuming g is positive.\nAnswer: g**(130\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1102 in 3\/8, 2, -11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-80) - 10\/11600*-388.\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1023 - -1023. Which is the nearest to -0.5? (a) j (b) -0.2 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (770\/4*-4)\/(-2). Suppose -3*c - 30 = -q + p, 4*c = 5*q - 557. Is -139 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3534 - -3544. Which is the smallest value? (a) 4\/5 (b) 24 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1488)\/(-1240) - (-8)\/(-6)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -10*b + 14*b - 2*n, -5*b = n - 9 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w + 1. Let g(h) = 20*h + 28. Let o(p) = g(p) + 24*r(p). Let m be o(10). Suppose 21*t - 405 = m*t. Is 5 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*q - q - 12. Solve 3*p - 5 = -q for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 60677 or -1?\nAnswer: 60677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.144597 meters to nanometers.\nAnswer: 8144597000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -3 (b) -47.89 (c) -3.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**2 + 232986*j + 4523539683 = 0. Calculate j.\nAnswer: -38831","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43267316?\nAnswer: 2, 157, 68897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -166.\nAnswer: 9\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -77707812*m**4 + 18288*m**2 + 371 wrt m.\nAnswer: -1864987488*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**3 + 21*p**2 - 8*p + 3. Let h be t(-11). Is -28 less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 0*c**5 + 11 - 8\/3*c**3 + 0*c + 0*c**4 + 1\/2*c**6 + 0*c**2. Find the third derivative of i(j) wrt j.\nAnswer: 180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 - (-88)\/12) + 2\/(-6). Suppose -v - 2*v + 18 = -3*i, 2*i - 6 = 0. Suppose -6*k = -v*k + 6. Solve -d*s - 17 = -k for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1872 and 244?\nAnswer: 114192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 204, 2, 5, -330, -2 in ascending order.\nAnswer: -330, -2, 2, 5, 204","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o. Let b be j(-4). Sort -3, b, -2, 0 in descending order.\nAnswer: b, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - 2. Let j be 1 + 0 - 1892\/l. Suppose 0 = 2*a - 5*a - j. Round a to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 627 + -618. Solve r - 9 = -12*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/4*104\/50492. Is c bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2 = -2*m, -4*d - 8 - 5 = m. Let v = 4363 + -8101. Is 2\/m*v\/(-28) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 6*n**2 - 3*n + 9. Let y be a(6). Let d = 16 + y. Let b = 35 - d. Calculate the highest common divisor of 14 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -770.41 rounded to the nearest ten?\nAnswer: -770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 2. Suppose -3*v + 23 = s*g, -2*v - 3*g - 63 = -5*v. Suppose k + v = 3*k. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 34 - -33 - 72?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.3483683 minutes?\nAnswer: 20902098000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29567815 to the nearest integer?\nAnswer: 5438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4*1323412\nAnswer: 5293648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 582*z - 8256 = -210*z + 104*z for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2*(8002\/28 + (-2)\/7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1209?\nAnswer: 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 30 = -10*m + 11*m, 5*m - 45 = -5*v for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wxwx when four letters picked without replacement from wuuwwxxxxxxaxxxxwxx.\nAnswer: 11\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1278463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -458 - -623. What is the greatest common factor of b and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -149 - -151. Solve -26*a + 5*k - 25 = -27*a, o*k = -4*a + 28 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12\/31625053 or 0?\nAnswer: -12\/31625053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5547, 5489, 5423, 5349, 5267, 5177?\nAnswer: 5079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2976300 to the nearest one hundred thousand.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 155 - 157. Sort 1, -1, x, -8 in ascending order.\nAnswer: -8, x, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9446?\nAnswer: 2, 4723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4 - 2\/7*x**2 - 26\/7*x.\nAnswer: -2*(x - 1)*(x + 14)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -152 - -4141?\nAnswer: 3545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 6) to base 4\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of 11*x**8\/168 - x**5\/10 + 6*x**2. Find the third derivative of f(i) wrt i.\nAnswer: 1320*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 50389 = -50416 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**2 + 3*x**2 + 4 - 3 - 1 + 310*x to the form o*x + h + k*x**2 and give o.\nAnswer: 310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53.15 - 53.25. What is the smallest value in -2, p, -3\/10, -2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of 5*x**2\/2 - 36. Let a(v) = -11*v**2 + 3*v - 6*v + 3*v. Calculate m(a(y)).\nAnswer: -55*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 5*s**2 + 4*s - 4. Let o be y(5). Suppose 5*w + 3*w = o. Factor -15*t**4 - 3*t**5 - 18*t**3 + 44 + 24*t + 12*t**w - 44.\nAnswer: -3*t*(t - 1)*(t + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5101 rounded to three dps?\nAnswer: -0.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57.2863 - 57.3. Let v = f + 0.01005. What is v rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 4*t + 4. Let x(o) = o**3 - 4*o**2 + 3*o - 6. Let b be x(4). Let g be j(b). Solve 3*v - 4*u = -16, 4*v = -v - 4*u - g for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 21.1 (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express n**4 + 44*n**2 - 2*n - 7*n**3 - 9*n**3 - 15*n**3 + 33*n**3 in the form s*n**2 + u*n**4 + w + c*n + o*n**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**5 - 286*b**4 + 20448*b**3 + 286*b**2 - 20449*b.\nAnswer: b*(b - 143)**2*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.5 - 2. What is the third biggest value in -1\/3, y, 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of p**4\/22 - 280*p**3\/33 - 427*p**2\/11 - 52*p + 5175. Let b(q) = 0. What is q?\nAnswer: -2, -1, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 197*k - 3. Let y be 7 + (6\/4)\/((-9)\/24). Suppose -15 = -18*r + y*r. List the prime factors of v(r).\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 29 - 13 = -2*v, -37 = -2*j - v. Suppose 91*q = 3016 + 624. Calculate the least common multiple of j and q.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.3 - 3.2. Which is the nearest to 0.1? (a) -5 (b) 0 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one quarters of a micrometer in nanometers?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -v - 20. Solve 0*r = -h + 2*r - 7, v*h + r = 20 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-936)\/82 - 10*132\/(-120). Which is the third biggest value? (a) n (b) -1\/4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1827*t + 1830*t - 12 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2073170*j**2. Let r(a) = -13*a**2. Give r(q(w)).\nAnswer: -55874440035700*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3509, -6196, -8883, -11570?\n\"Answer: -2687*f - 822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 6*u. Let n be r(1). Let z be (n\/9)\/((-1)\/3). Let b be (2\/(-1) - z)*-1. Let a(s) = s**3 + s**2 - s - 1. Give a(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 57*u + 367. Give g(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 38.66 * 2682\nAnswer: 103686.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*g = 117*g - 510341 - 284103. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -608102 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -221423*c**3*h**3 - 7*c**3*h - 6*c*h**3 + 2*c*h + 2*c + 46*h**3 - 202*h wrt c.\nAnswer: -1328538*c*h**3 - 42*c*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -62*m**4\/5 + 49262*m**3\/5 + 71646*m**2\/5 - 4742*m\/5 - 27064\/5 = 0.\nAnswer: -1, 17\/31, 796","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + (-952)\/(-51) + 35\/(-48)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5 - 4)\/(2\/(-8)). Let l = 19 + j. Let b be (-5)\/(l\/(-24)) - 2. What is the greatest common divisor of b and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 1 = -3*w. Let j be w\/(2 - 4 - -7). Suppose -16 = 4*z, 2*z = 4*a - 0*a - 4. Which is smaller: j or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(4\/2)*22957\/(-2087).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 61846127 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -0.2 (b) -2\/145 (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -133972\/5 - -26958. Let x = 163 - f. Which is the nearest to -0.3? (a) 3 (b) x (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.5, 2\/11, 5, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 62 - 55. Is 1262 - j - 1*2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.19 + -0.77. Let z = 1.2 + x. Let v = -0.04 + z. Which is the second biggest value? (a) 2\/13 (b) 2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**3 - 7*q**2 + 7*q + 7. Let n(b) be the third derivative of b**6\/120 + b**5\/20 - b**4\/8 - b**3\/2 - 4*b**2. What is 7*n(o) + 3*s(o)?\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 53*30.6\nAnswer: 1621.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -6.9997645. Round b to 5 decimal places.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8692 - 2*z**3 - 8692.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 - 665\/17. Put -0.5, -3, -2, x in descending order.\nAnswer: x, -0.5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 6*v + 1 = 0. Let o(j) be the third derivative of 0 - 1\/60*j**6 + j**2 + 1\/60*j**5 - 1\/6*j**3 + 1\/24*j**4 + 0*j. Determine o(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 11 - (-1 + 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2194?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2435204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-14 + 0 - 22)*(-h - 2*h + 4*h) - 4*h + 2 - 2)*(-2 + 0 + 1) in the form a + w*h and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of 9*i**2\/2 + 5*i - 3. Determine m(-6).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a - 139626?\nAnswer: -1395a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - j**2 + j + 1. Let l(p) = p**3 + 9*p**2 - 12*p. Let s(w) = -2*i(w) - l(w). What is the smallest common multiple of 14 and s(7)?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 7223*c**2 + 50509*c - 16. What is u(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 29 = -25*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 5*k - 14 - 5*k + k. Let t be l(15). Solve -4*y = t - 21 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cgcsi. Give prob of picking 1 g and 1 c.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 33*q**2 - 128*q - 817. Calculate the remainder when 2524 is divided by l(27).\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28 or -386259?\nAnswer: -386259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -760 + 47045?\nAnswer: 46175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -6. Suppose m*a - 64 = -0*a. Suppose -4*h + 17 = 5*f, -3*f + 5*f = 4*h - 38. What is the lowest common multiple of a and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -75\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2575, 5150, 7725?\n\"Answer: 2575*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-44675.\nAnswer: 17870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 23*f = 48 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l - 3 - 3*l - 1. Suppose 2*k = 2*m + 3 + 3, -2*m - 12 = k. What is g(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 5, f: 2}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(2\/25)*q*q)**(-45) assuming q is positive.\nAnswer: q**(-918\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 69 - 25 = 2*i, 3*q + 4*i = 40. Suppose -7*t = -12*t - q*t. Put 1\/2, 0.12, -1\/2, t in descending order.\nAnswer: 1\/2, 0.12, t, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*y - 19*y = -4. Solve f = -3*l + y, 3*l = -f + 2*l for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1407?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 470 - 466. Solve a + w = 2*l, 5*l = -4*a - 11 - 5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 + 181?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/3010392 and 139\/59204376.\nAnswer: 177613128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 4*v - 612. Calculate the remainder when 733 is divided by v.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 6*n + 8. Let l be j(6). Calculate the highest common factor of l and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vbbmvvmrvbbrmr. Give prob of sequence rm.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 8) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*h = -83*h - 5*z - 174, -2*h + 114 = -4*z. Calculate the lowest common multiple of 77 and h.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -5. Let l = 1711 - 1712. Put -4, 3, x, l in decreasing order.\nAnswer: 3, l, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 - 8895*l**2 - 3789831*l - 3780933.\nAnswer: 3*(l - 3343)*(l + 1)*(l + 377)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1185767771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z - 40. Let b be x(12). Let q(d) = d**2 - 4*d - 2. Let v be q(4). Sort -5, v, b.\nAnswer: -5, b, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*t + 4439 = 455. What is the lowest common multiple of 378 and t?\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-190 - -185) + (-2 - (-6 + 3)) + -32.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 53*(3 + 176\/(4 + 0)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5182 + 5189. Let x(o) be the first derivative of 9\/2*o**2 + 1\/3*o**3 + c*o - 8. What is x(-6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5373 + -0.68188\nAnswer: 5372.31812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + -17. Let d(j) be the second derivative of j**3\/6 - j**2\/2 + j. Let n be d(o). Let c(u) = 3*u**2 + 1. Give c(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -137006, -136967, -136902, -136811, -136694, -136551?\n\"Answer: 13*g**2 - 137019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.08, 0.24118, 0, 1, -2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 17 - 5 = 0. Suppose j*p + 5 = 3*p. Let f = -29\/28 + 9\/7. What is the closest to -2 in -0.1, p, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 28, 37, 46, 55, 64?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3568096 and 4685?\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 78?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 230*h. Let x(s) = -6*s**2. Calculate x(j(m)).\nAnswer: -317400*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 4, -3100, -1 in ascending order.\nAnswer: -3100, -9, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3233\/11 or 2\/5?\nAnswer: -3233\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 3:53 AM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4353558868 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pprqprlpplrlqqqlp. Give prob of picking 2 r and 1 q.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -4*o - 100, 4*o - 5*p = -0*o - 97. Let k be 21\/24*(-8)\/o. Let t be 2*-1*(2 - 3). What is the closest to 3 in k, t, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**3. Let u be s(1). Let l be (-28)\/(-20) - u\/5. Let w be 0\/3*(0 - l). Put -3, -4, w in decreasing order.\nAnswer: w, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kbb when three letters picked without replacement from {o: 4, b: 3, k: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(5\/3))\/(a*a*a**5*a)*(a**(1\/4))**(-2\/67))\/(a**(-2\/19)\/a*a\/((a\/a**(-3\/7)*a)\/a*a))**(2\/7) assuming a is positive.\nAnswer: a**(-1727909\/374262)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 21877 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*y + 31*y + 18032 = -380*y - 222*y for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 11*f - 6. Suppose -3*m + 5*i - 32 = -6*m, -2*m + 12 = i. Let o be 6 - 5 - 0\/m. Let n be r(o). Solve 6*a + 4*y - 12 = 2*a, 2*y = n*a + 6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o - 6 = -13*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -11. What is the tens digit of 74*r\/2*(-10)\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -7*r**2. Let u(w) = 5*w**2. Calculate u(d(m)).\nAnswer: 245*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56 + 5. Let z = m + -52.4. Let b = z - 14.3. Round b to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 6*p + 32. Let g(r) = -5*r - 30. Give -5*g(j) - 4*h(j).\nAnswer: j + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) - (sqrt(112) + 0))**2 - (sqrt(7) + -3*2*sqrt(7))**2) + (sqrt(1008)*-3 + -2 + 0)**2.\nAnswer: 144*sqrt(7) + 8901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 + -2.8. Let x = -2.50000041 - o. What is x rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*v**6 + 668*v**5 + 79489*v**2?\nAnswer: 1680*v**3 + 40080*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*n**2 - 4735*n + 126490 = 0. What is n?\nAnswer: -973, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 0\/(-1) - (-286)\/(-429)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1727309 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7210.62 - 7213. Which is the closest to o? (a) -2\/39 (b) -0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 4. Let q = k + -5. Let c = 821\/7 + -7403\/63. Sort 3, 1, c, q in increasing order.\nAnswer: q, c, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhenehhe. What is prob of sequence eh?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 51493, 102998, 154503, 206008, 257513?\n\"Answer: 51505*c - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10147 - -2.764.\nAnswer: -10144.236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 9. Suppose -w - i*z + 4 = -2*z, 2*w - 8 = -2*z. Which is the closest to -2\/5? (a) w (b) -3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 560450?\nAnswer: 2, 5, 11, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 25, 108, 245, 436, 681, 980, 1333?\n\"Answer: 27*m**2 + 2*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -170779*o**2*p**3*v**3 - 5*o*p*v + 4376*p**3 + 2*p**2*v**3 wrt o.\nAnswer: -341558*p**3*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2492289*u**2 - 4984482*u**2 + 2492271*u**2.\nAnswer: 78*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 30 = -4257*m + 4253*m, 12 = x - 2*m for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3575*i**4 + 3571*i**4 + 300*i - 10715*i**4 + i**3 + 3575*i**4 + 1 to the form m + g*i + a*i**4 + l*i**3 + r*i**2 and give g.\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/9*(-780480)\/(-18970)?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-16) - 94208655\/(-4). Let v = 28388287 - 44940451. Let a = v + m. What is a rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35.2 + -36. Let v = -9.4 + 10. Let y = z + v. Is y at most 0.11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183*i - 42*i - 53*i - 280*i - 316*i - 124*i.\nAnswer: -998*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*g + 2*g + 0*g)*(-g + 2*g + 0*g) + 15*g**2 - 10*g**2 - 244*g**2 as p*g**2 + t*g + f and give p.\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33169254?\nAnswer: 2, 3, 43, 128563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 71 + 37 - 58 = -5*s, -2*s = -14*c + 6*c + 276 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-18)*-3 - 6\/(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15413479.\nAnswer: 31, 43, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**12*f**(-6))\/(f*f**4)**1 assuming f is positive.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -7*y**3 - 11*y**2 - 4*y + 6. Let n(m) = 15*m**3 + 23*m**2 + 8*m - 13. Let x(j) = -13*k(j) - 6*n(j). Give x(-5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -5*r**2 - 5*r - 5. Let w(b) = -b**2 - b - 1. Let x(h) = -f(h) + 6*w(h). Let y(d) = -2*d**3 + 2*d**2 + 2*d + 2. Calculate -2*x(a) - y(a).\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k**2 + 2*k**2 - 5*k**2 + 1 + 6*k - 8*k - k to u + g*k + y*k**2 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 6*h**3 - h**2 + h. Let r(k) = -k - 7. Let y be r(-9). Let l be (-2 - -5) + 0 - y. Let z be w(l). Solve 4*j - 1 - z = -f, -2*f = j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -36*u. Let p(m) = 15*m**2 - 15*m + 5. Let n(g) = g**2 - 3*g + 1. Let b(s) = -5*n(s) + p(s). What is b(x(y))?\nAnswer: 12960*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 8*x + 5. Suppose -12*u - 52 = u. Determine m(u).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -19*n + 1. Let u be i(1). Let k = -2\/1461 - 21869\/33603. Calculate the common denominator of 4\/u + 55\/(-9) and k.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1.9 and -0.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(-4*m - 8 + 8)*(4 - 6 + 1)*(0 + 3 - 5).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) -127 (c) 7 (d) 8 (e) 0.5 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/147*(1260\/(-14))\/(-15)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -92 + 34. Let t = -57.943 - n. Let w = 0.0651 - t. What is w rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u. Let n(t) = 3*t - 6*t + 2*t + 6*t. Determine n(f(d)).\nAnswer: 15*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -589 + 272. Let k = d + 319. Factor 3\/8*w - 9\/4 + 3\/8*w**k.\nAnswer: 3*(w - 2)*(w + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1063 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 906518180 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {k: 2, s: 4, j: 1, b: 2, r: 1}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.6 - -1. Let c(j) = -2*j - j**2 - j + 0*j**2. Let l be c(-4). What is the closest to 1 in q, l, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g - 23. Determine y(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -66.4 + 85. Let m = n + -18.60133. Round m to four dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 90768 and 9796.\nAnswer: 7170672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 4 + 13 + -19\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6673172355?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 1\/5 (c) -1\/7 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -0.1 (b) 2 (c) -4 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 223369*f**2*s**5 - f**2*s - f*s**2 - s**2 + 25971 wrt s?\nAnswer: 13402140*f**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -153 + 325. Suppose -4*x + m + 100 = 0. Let d = x - 20. What is the highest common divisor of d and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40057?\nAnswer: 41, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(2026\/1010 - 2). Let g = 932 - l. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6 + 389)*5 + -10.\nAnswer: 3, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 59, 3, 46 in ascending order.\nAnswer: 3, 46, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p**3 - 2*p**2 + 2*p + 1. Let v(l) = -3*l**3 + l**2 - l - 1. Let h(u) = -4*r(u) - 5*v(u). Suppose h(j) = 0. What is j?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/4*(-42)\/49. Sort c, -1, 4, 3 in descending order.\nAnswer: 4, 3, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 121 - 37. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142795056 a multiple of 423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**5 - 9*i**4 + i**3 + 9*i**2.\nAnswer: -i**2*(i - 1)*(i + 1)*(i + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 5:40 AM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 7*k + 22. Calculate r(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 871?\nAnswer: 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 988 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*u**2 + 161780*u + 261727684 = 0. What is u?\nAnswer: -16178\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of -90*k**2 + 0*k + 0 + 0*k**4 - 59\/6*k**3 + 19\/30*k**7 + 0*k**5 + 0*k**6. What is the first derivative of c(m) wrt m?\nAnswer: 532*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21839 rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6390.1 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00015439372589 to seven dps.\nAnswer: 0.0001544","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4393484*o**3 - 145222*o wrt o.\nAnswer: -26360904*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1253 is divided by 215.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - f08696?\nAnswer: -f0869b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 984, 1925, 2866, 3807, 4748?\n\"Answer: 941*j + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5306*f - 4789*f = 747030 for f.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -219 - -38. Let u = 113 + m. Let q = 104 + u. Calculate the remainder when q is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3*g**3 + 2*g**2 - 4*g + 2. Let q(b) be the third derivative of 0*b**3 + 1\/60*b**5 - 1\/24*b**4 + 0 + 0*b + 165*b**2. Determine a(z) - 4*q(z).\nAnswer: -3*z**3 - 2*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-136)\/(0 + -1) - 1. Let j be 4\/(-18) + (-24)\/f. Let p = -10 - -13. Which is the closest to j? (a) -2 (b) p (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -17*s + 12. Let f be b(-1). Solve 7*o = f - 15 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o + 3. Suppose 4*a + 14 = 2*a. Is f(a) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**5 + 4*w**5 + 0*w**5 + 0 - 2*w**5 + 0 + (-w + 4*w - w)*(w**2 - w**2 - 2*w**4) - 2*w**5 - 2*w**5 + 2*w**5 - 25 - 7*w**5 + 8*w**5 - 7*w**5.\nAnswer: -12*w**5 - 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g. Suppose 2*a - 4 = 2. Let z(x) = -a + 0*x + 3 + x. Determine z(o(y)).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*(-1*sqrt(72) - sqrt(72)))\/(sqrt(12) + -5*sqrt(36)\/sqrt(3) + sqrt(12)))\/((sqrt(200) - sqrt(200)*1) + sqrt(16)\/(sqrt(8)*2)))**2.\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/((-16)\/(-44)*(-33)\/(-6)). Suppose c - 135 = -4*b + 6*b, r = -c + b + 130. Is 12 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 10*v + 12 = -6*v, 3*w - 9 = -v. Sort w, -3, -2\/19, 0 in ascending order.\nAnswer: -3, -2\/19, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 49925*p**2 + 518 wrt p.\nAnswer: 99850*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h + 17. Let j be t(-9). Let s(k) = -8 + j + k**2. Let c(y) = 2*y + 1. Let n(g) = 9*g + 5. Let u(o) = -15*c(o) + 3*n(o). Give s(u(f)).\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - j + 0*j)*(1 - 3 + 0) + (3*j - 6*j + 4*j)*(3 + 4 - 5) + 208*j + 150*j + 231*j.\nAnswer: 595*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -46*l + 1500. Calculate s(18).\nAnswer: 672","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 506827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 4:00 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 h, and 1 p when three letters picked without replacement from {e: 2, p: 1, s: 1, z: 1, r: 1, h: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 9:55 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9\/((-108)\/(-56)))\/((-1)\/(-3)). Let m be (b + 4)\/3 + -2. Solve q + m = 2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*u + 5*x, -3*x + 188 = -5*u + 232 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15841 + -2011805\/127. Which is the smallest value? (a) -5 (b) 2\/5 (c) 0.8 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 15 = -6. Let r(z) = z - 9. Let m be r(a). Let u(i) = i**2 + 6*i + 5. Let s be u(-4). Put m, s, 5 in ascending order.\nAnswer: s, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13927138723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3618.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 5 = -t - k, -3*k = -2*t - 11. Factor -3*z**4 + 15*z**3 + 0*z**2 - 2*z**4 - 15*z - 5*z**t + 3 + 7.\nAnswer: -5*(z - 2)*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(2 + sqrt(1100) + -4 + (sqrt(1100) - (sqrt(1100) + 3)*1)) + 2)**2 + 3.\nAnswer: -1440*sqrt(11) + 17927","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**3\/9 - 64*s**2\/9 - 62*s\/9 = 0. What is s?\nAnswer: -31, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 435381*p**2 - 157554*p**2 + 134474*p**2 + 111715*p**2.\nAnswer: 524016*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3461 + 30?\nAnswer: 3501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1790?\nAnswer: 2, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -391343 in 0.2, 0, -16, 4?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1224 = -n - 135*n for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.02 (b) -1.4 (c) -1\/2 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 18*f**2 - 15*f + 40. Calculate s(2).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4300)\/(-602)*462\/(-132)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*b**3 + 25*b**2 + 6*b**3 + 2*b**2.\nAnswer: -6*b**3 + 27*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 113, 837, 2799, 6617, 12909, 22293?\n\"Answer: 103*q**3 + q**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 246 = -1162. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 9865953, -5\/6 in descending order.\nAnswer: 9865953, -5\/6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 - -4. Let h be 23\/3 - (-10)\/j. Which is the nearest to 0.1? (a) h (b) 2\/5 (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4*g**2 - 170*g + 69. Calculate v(-43).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -160\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 99313514?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 3*o - 5262 + 845, 0 = -o + 2*g + 1483. Is o a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 4, -9, 2 in increasing order.\nAnswer: -9, 2, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -20. Suppose -2*i + r*x = -3*i - 8049, x - 32241 = 4*i. Let h = 33059 + i. Round h to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4547 - 4528. Solve 36 = -b*p + 17 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 56.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + x. Suppose 3*l + 129 - 72 = -3*w, -l = -2*w - 53. Let b(f) = 17*f**2 + 8*f. What is w*p(m) + 3*b(m)?\nAnswer: 27*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -2.51.\nAnswer: -7.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1999 = 97*a + 499*a + 1692 + 6863 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-2 - 14) + 414 + -407?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + 27*i + 28. Let f be p(-1). Put f, -153, 1 in increasing order.\nAnswer: -153, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*s**2 + 9*s**2 - 6*s**2 + (1 - 2 + 2)*(s**2 + s**2 - s**2) - s**2 + s - s.\nAnswer: 13*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -1344*w + 172. Let c(r) = -r**2. Give p(c(s)).\nAnswer: 1344*s**2 + 172","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17.6 + 17.3. Let a = 0.04 + -0.04. Let s = 2.3 - 2.2. What is the nearest to a in l, s, 1\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 140365 and 37291.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 890428457?\nAnswer: 890428457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 6:56 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3543.672m in micrometers?\nAnswer: 3543672000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (115*f - 14*f**4 - 115*f)*(-f + 1 - 1).\nAnswer: 14*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1006*r + 86540 = -1002*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of t**4\/8 - 5*t**2\/2 - 3*t. Let x(h) be the first derivative of s(h). Let n(p) = -p. Give x(n(b)).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -1262*n. Let r(t) be the third derivative of t**5\/30 - 415*t**2. Calculate p(r(h)).\nAnswer: -2524*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -14*i - 4. Let z be m(-6). Suppose 4*s = -3*g + 5*s + 40, -5*s - z = -5*g. Suppose w - 3*w = -g. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*b**2\/4 - 3151*b\/4 + 47\/2 = 0. Calculate b.\nAnswer: 2\/67, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20014*p**3 - 45086*p**3 - 26718*p**3.\nAnswer: -51790*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 5:49 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-6)*(39\/520*152 + -3)\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 4 + 69. Let j = r - -21. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 561599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/sqrt(3) + 0 + (sqrt(19) - (1 + sqrt(171))) - -5*(sqrt(19) + 2 + 3)**2.\nAnswer: 49*sqrt(19) + 219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*a + 160 = -31*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 8, -0.57, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xbwbbbbbbwbbx. Give prob of sequence wxbw.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 4*k)*(-k - 3*k - 2*k + (-3 + k + 3)*(2 + 1 - 4) + k - 5 + 5 + (-1 + 2 - 3)*(0 + 0 + 2*k) + k + 0*k - 2*k - 1 + 2*k + 1).\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -1) + (-4)\/18. Let i = -8 + 5. Which is the biggest value? (a) 1\/3 (b) i (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 4*u - 0*v - 88, -8 = -u - 4*v. Let y(k) = -k**2 + 3*k. Let q be y(4). Let o be 2 - u*q\/1. What is the highest common divisor of o and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 9 - 21 + 34*w - 9 - 2.\nAnswer: 34*w - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, 3, -1\/5.\nAnswer: -67, -1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**3 - 1319*t**2 + 8484*t + 3279. Determine n(653).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-612)\/7*(-14)\/2. Suppose 4*j + 5*j = m. List the prime factors of j.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1185989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express h - 2*h + 3*h + (-11796 + 44325 + 18842 + 12203 + 11606)*(-4*h + 5*h - 3*h) in the form k*h + j and give k.\nAnswer: -150358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -12331 (base 7) to base 3\nAnswer: -11110121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 231 and 308.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 49\/6 of a decade?\nAnswer: 980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2321311 (base 4) in base 14?\nAnswer: 4497","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 4. Suppose -n - j = -2*j, 0 = -4*n - 3*j. Solve -3*x = p - n for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 8*c + 3. Let f be r(8). Suppose 4*b + 2*z = 94, 4*z = f*b - 4*b + 41. Calculate the greatest common factor of b and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**3\/3 - 2722*m**2\/3 + 1234870*m\/3 - 186736550\/3 = 0 for m.\nAnswer: 451, 455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 1 + (2 - 7 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 120 = 2*p, 0 = 4*p + 6*j - j - 236. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -4*h + 11. Let w be (-2)\/8 + 108\/48. Let d(c) = 2*c - 5. Give w*v(l) + 5*d(l).\nAnswer: 2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 - 93*d - 90.\nAnswer: -3*(d + 1)*(d + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -171, -696, -1571, -2796?\nAnswer: -4371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -1\/50, -0.5 in decreasing order.\nAnswer: 1, -1\/50, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z - 4. Let v be g(3). Let t be (3\/(-9))\/(v\/(-3)). Let w(k) = -8*k**3 - k**2. What is the units digit of w(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/14 + 69\/21. Suppose -q + 10 + 59 = -5*n, -d*n = 15. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -5*z - 50, -z - 4*z = 4*h + 41. Let c be (-3)\/9*(-12)\/h. What is the closest to 1 in -1, -1\/2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87682713343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/11*(-10)\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -429 (base 10) in base 13?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 7. Let g(v) = v**3 + 4*v**2 - 12*v + 2. Let w be g(d). Suppose -h = -3*i - 54, 66 = 2*h - w*i - 38. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/(-115)*2 - (-30297)\/69 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 4587?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*l = 9*l + 196. Let h(n) = 51*n**3 + 9*n**2 - 9*n - 9. Let z(x) = -25*x**3 - 4*x**2 + 4*x + 4. What is l*h(a) - 9*z(a)?\nAnswer: 21*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-1\/25))**(-30) assuming o is positive.\nAnswer: o**(-156\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 68332087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -47 + 48. Let k be v\/(-2 - (-5)\/2). Is k at most 9\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1008) - sqrt(1008)*1) + sqrt(1008) + 0 - (1 + sqrt(1008) + 2)) + (sqrt(1008) - (2 + sqrt(1008)*1))*-4)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 3. Suppose 5*p + 3*m + 14 = -0*m, 3*p - 5*m - 12 = j. Let t(g) = -g - 5. Let u be t(-3). Is u < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express w**2 - 834*w**3 + 416*w**3 + 2*w + 420*w**3 in the form m*w + a*w**3 + j*w**2 + v and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 2*v - 15 - 51, 2*v + 18 = q. Let s(h) = -24*h + 54. Let w be s(2). What is the highest common factor of w and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*v - 19*v - 150. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1314726 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 24*o**3 - 12*o**3 - 20*o**3)*(-5*o + 5*o - 3*o**2).\nAnswer: 24*o**5 + 12*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1445 - 1443. Suppose 7 = 2*n + 3*n + 2*y, n - 5*y = 23. Let l be 1 - (-3*q + n). Solve -2*i - 3*h - 2*h = 20, -4*i - 12 = -l*h for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*z + 23 = 2*q - 128*z, 3*q - 3*z = 21 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 2065?\nAnswer: 2064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 152660000 rounded to the nearest 100000?\nAnswer: 152700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 35559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 9:32 PM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 144 = 2658. Let a = -117 - k. What is the highest common divisor of 200 and a?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0152 + 0.0335. Let y = 74.642 - 70.3203. Let z = y + f. What is z rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 3*s**2 + 0 + (-21 + 8 - 1)*(-s**2 + 1 - 1).\nAnswer: 11*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r - 27. Let o be x(-15). Let k be 2\/7 - (-12)\/7. Suppose -t = -k*t - 1. Put 5, o, t in ascending order.\nAnswer: t, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(228)*1 - sqrt(228))*2)\/(3*(sqrt(588) + sqrt(12))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*f - 344 - f - 510 + 1454 - 296 as h + m*f and give h.\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -395 - -432. Let z = 25 + -9. What is the remainder when l is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/5)\/(4\/(-70)). Suppose -x = -h + 3. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 184 = 5*g. Let j = -346 + 359. What is the remainder when g is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 - (-2 - (4 - 9)) - (-7 + -54 + 74)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*o + 4*j = -44*o + 16, -3*j + 9 = 0. What is the closest to 2\/9 in 1\/3, -2, o, -0.8?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 5. Let t(g) = 2*g**2 + 11*g**3 + 0*g - 11 + 6*g + 2*g. Let z(i) = -3*i - 4*i**3 - 7*i**2 + 0*i**3 + 6*i**2 + 0*i**3 + 4. What is o*z(j) - 3*t(j)?\nAnswer: -j**3 + 2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 9 + 2*m**4 + 14*m**2 + 13 + m**3 to x*m**3 + g*m + f + h*m**4 + w*m**2 and give w.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 281768*s**4 + 16*s - 5127.\nAnswer: 3381216*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -187 > -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 6*z + 7*z + 11*z - 27*z + z**2 - 3 + 5*z. Let m(l) = -5*l**3 - l**2 + l. Let r be m(1). Calculate o(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from puxgkkgz. Give prob of sequence gxkz.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45*m - 2*m**5 - 82951*m**2 + 82951*m**2)*(5 - 3 - 1).\nAnswer: -2*m**5 + 45*m","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 335887 - 335887.4. Let l be (-4)\/6 + (-8)\/(-9). What is the closest to -5 in l, -5, n?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 266.05 - 24.45. Let l = -18.6 + f. Let r = 262.8 - l. What is r rounded to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*w + 26*w + 15 = 0. Let d(l) be the first derivative of 0*l**3 + 0*l**4 + 0*l - 1 - 1\/5*l**w - l**2. Find the second derivative of d(s) wrt s.\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of 0 - 1\/12*x**4 + 0*x**3 + 33*x - 1\/20*x**5 + 2447\/2*x**2. Is p(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.41 and -0.7.\nAnswer: 0.287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**3 - 6*h**3 - 125*h**2 + 5*h**3 - 3*h**3 + 226*h**2 - 117*h**2.\nAnswer: -2*h**3 - 16*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/((-5 + 9)\/(-4)). Suppose 5*c - 15 = 0, y*v + 145 = 2*v + 3*c. Is 17 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -41, -0.16, -6\/5?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2 + 4\/3*o - 2\/3*o**2 = 0. Calculate o.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.5 - -0.2. Let n = 0.1 + -0.07. Let k = n - 0.03. What is the nearest to -0.1 in t, k, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 597174, 2388697, 5374566, 9554781, 14929342, 21498249?\n\"Answer: 597173*k**2 + 4*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24232 is divided by 4038.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 + -0.3. Let v = -7.16 - -0.16. Let r = 2 + v. Which is the biggest value? (a) w (b) -4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 0.5. Let a = 5 + g. Let q = 3.4905 - a. What is q rounded to 3 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -78 - -76. Let c be 15\/n*14\/(-21). Calculate the common denominator of (c + -1 + -2)\/(140\/(-539)) and 81\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 131544 and 78358.\nAnswer: 25387992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 2*r + 8, 0 = -3*d + 4*r + 164 - 150 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**4 - 1144*n**3\/7 - 21050*n**2\/7 - 103512*n\/7 + 31320\/7 = 0.\nAnswer: -58, -15, -9, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 295624 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of q**5\/5 + q**4\/4 + q**2\/2 - q - 7. Let j(i) = -18*i**4 - 12*i**2 - 15*i + 15. Let n(a) = j(a) + 15*t(a). Factor n(l).\nAnswer: -3*l**2*(l - 4)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(297))\/sqrt(9) + sqrt(33))\/sqrt(11) + (sqrt(21)\/(sqrt(28)\/sqrt(4)) + sqrt(12)*-2 + sqrt(12))**2.\nAnswer: 3 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, g: 1, r: 1, d: 3}. What is prob of picking 1 g, 2 d, and 1 o?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -179700 rounded to the nearest ten thousand?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -298*i - 246 + 14046 - 688 = 0 for i.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -1533336*k - 16. Let i = 10 - 16. Let q be o(i). What is q rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/9 + 505004236*q\/9 - 56111582.\nAnswer: 2*(q - 1)*(q + 252502119)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 13*z**2 + 37*z + 3. Let p be 7\/((-35)\/55) - (-30)\/15. What is i(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2894*c - 2914*c + 11570*c - 2885*c + 8 - 2902*c.\nAnswer: -25*c + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*c**3*f**3 - 56*c**3 - 5*c**2*f**2 + 7*c*f - 2*f**3 wrt f.\nAnswer: -18*c**3*f - 10*c**2 - 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -2*x + x**3 - 90 - 7\/2*x**2 - 1\/2*x**4. What is the second derivative of y(r) wrt r?\nAnswer: -12*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -f**3 + 34555*f**2 - 379984*f = 0?\nAnswer: 0, 11, 34544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 3*y - 20308, -47*a - 14 = -45*a. List the prime factors of y.\nAnswer: 6781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvpvvpvvvvv. What is prob of sequence vp?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -39, -57, -93, -153?\nAnswer: -243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9061 by 2.\nAnswer: 9061\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -15285 (base 9) to base 14\nAnswer: -3b41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -533414 divided by 1\nAnswer: -533414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 32\/12*(-6)\/(-4). Suppose -2*r - 2*r + 4 = 0. Solve -r = d*t - 9 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of p**3\/3 + 6*p**2 + 6*p - 13. Let k be u(-12). Suppose -138 = -0*t - k*t. Calculate the smallest common multiple of t and 8.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1900 = 10*q - 8*q. Suppose -4*g - 170 = -q. List the prime factors of g.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37 - -117. What is the tens digit of (m\/5)\/(-1 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*v**2 + 932*v + 23136 wrt v.\nAnswer: 4*v + 932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*s - 70*s = -6*s + 141. Suppose 0 = -3*c - 9, 3 = 3*u + 4*c - 0. What are the prime factors of 575\/(0 + u) - s?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-1 - (-2)\/8). Suppose z + 10 = -n*z. Let u(v) = -11*v. Is u(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -895.942 - -890. Round k to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36406?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/6*(-147)\/14*88\/(-308).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 5 = -6*y. Let h = y - -38. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28126 and 3528?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 689771511 to the power of 1\/2, to the nearest integer?\nAnswer: 26264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.3622+5\nAnswer: 4.6378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2274449868?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(2\/17)*v)\/v*v\/v**(-8))\/(v**(-8)\/v*v**(-2\/25)))\/((v**(-5)\/v**(-2\/11))\/(v**(2\/3)\/v)**(-41)) assuming v is positive.\nAnswer: v**(528497\/14025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4*l + 210 = 0, 4*l = r - 0*l - 99. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of 0 + 10*i - 1\/2*i**3 - 3\/2*i**2. What is f(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1017 + 2414. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 6*d. Suppose 0 = 3*o - 1 - 5. Suppose 4*t + 6 = -z, -3*t - 1 - 20 = -2*z. Let g(p) = -8*p**o - z*p**2 + 13*p**2. Calculate k(g(u)).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.03527 and -2.874.\nAnswer: -2.90927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*z**3 - 15*z**2 + 18*z**2 - 12*z**2 wrt z?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = m - 6126 - 8516, -29291 = -2*m + 3*p. Suppose -3*g + 2*v - 4*v = -m, -3*g + 14632 = -4*v. Round g to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 12. Which is smaller: s or 1\/15?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -633*y**3 + 5*y**2 - 22*y - 41. Is w(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 15577*k**2 - 2*k + 7. Let a be z(5). Suppose -5*r + 3*i - 3711672 = 1235435, 0 = -4*r - i - 3957689. Let p = r + a. Round p to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c - 4*c - 25*c + 6*c + 3*c + 5*c**2 to a*c**2 + d + b*c and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 5*n - 20 = 0. Solve -d = n*d + 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8948887974 rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7271, 7264, 7257, 7250, 7243, 7236?\nAnswer: 7229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.15166 less than 114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -1101110001001000000100?\nAnswer: 1101110001001000000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 63, -211, -955, -2403, -4789?\n\"Answer: -39*a**3 - a**2 + 2*a + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2618869*b**2*i**3 - b**2 + 2185*i**3 - i + 74 wrt b.\nAnswer: 5237738*b*i**3 - 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111904112?\nAnswer: 2, 6994007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -u**4\/28 - 16*u**3\/21 - 11*u**2\/2 - 14*u + 516. Suppose i(q) = 0. Calculate q.\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140145126 (base 7) in base 14?\nAnswer: 12c7916","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23686187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18768512?\nAnswer: 2, 7, 20947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 100447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110, -135, -170, -221, -294?\nAnswer: -395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/7, 0.5, -5\/13, -3\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.17 at most -43535?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(288) - (sqrt(22)\/sqrt(11) + 0).\nAnswer: 2 + 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, b: 1, x: 3, h: 5, z: 2}. Give prob of sequence hb.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (45\/(-140))\/(12*(-5)\/(-70))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 6996, -6, 532 in ascending order.\nAnswer: -6, 532, 6996","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-5 + (sqrt(11) - (sqrt(11) + 0)**2) + sqrt(11)) + 5 - (5 + (-1*sqrt(88))\/sqrt(8) + -4)) + 1.\nAnswer: -43 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 219 divide 26501615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 4*u**2 + 4*u - 1. Let m be (-2)\/(-4) + 5\/2. Let o be g(m). Differentiate 0*j**2 + o + 0 - 2*j**2 with respect to j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 78480335 by -15696067.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-7 + 3 + 2)*(1 + 2 - 4) - 3 + 3 + 1)*(7*l - 9*l + 3*l - 11*l**2).\nAnswer: -33*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40820543 is divided by 962?\nAnswer: 959","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**2 - 2*z - 30*z - 10*z - 6*z + 6*z - 135 = 0. Calculate z.\nAnswer: -3, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4 + 2)*(-j**2 - 6*j**2 + 3*j**2)*(2 + 1 - 5 + 4 - 5 + 2 + (-1 - 3 + 11)*(2 - 2 + 1)) as v*j**2 + d*j + h and give v.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(3\/4))**(10\/7) assuming f is positive.\nAnswer: f**(15\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 2. Let a be 1*(x + -1 + 4). Suppose 5*t + 2 = 2*l + 66, a*t - 48 = -2*l. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -225 - -227. Find the second derivative of -145 + 121 - o*i - 174*i**2 + 24*i**2 wrt i.\nAnswer: -300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 907?\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 1 = -4*m - 3*y, -3*y = -4*m + 13. Calculate the highest common factor of m and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 22*z + 43. Let q be y(-20). Solve 0*b = q*b - 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 418.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*y**2 + 7*y**2 + 12*y**5 - 62 + 62 wrt y.\nAnswer: 720*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(-6\/7)*u)\/u**(2\/15))**(-41))**25 assuming u is positive.\nAnswer: u**(-58630\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of 3*y**5\/20 + y**4\/12 - y**3\/6 - 4*y**2. Determine n(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010110111011 + -11?\nAnswer: -10010110111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 37101446639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6742 is divided by 173?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + -104. Let j = -114.999951 - l. What is j rounded to 6 dps?\nAnswer: 0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + p - 2*p + 20 = 0, 2*p + 35 = 3*r. Suppose 4*y + 11 = r. Sort 0, 4, y.\nAnswer: 0, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/5 - (-15)\/25\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29834?\nAnswer: 2, 7, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(26)\/sqrt(8)*6)**2.\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 599*v**3 - 3*v**2 + 2*v - 1. Let o be h(1). Suppose 3*j - 5*g = o + 1236, -2*j + 2*g + 1222 = 0. What are the prime factors of j?\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3286 at most as big as 4652?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -45, 37, -4, -10\/11?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 7 - 2 - -3. Suppose 2*s - r = 2*a, -3*a + 2*a = 3*s - 16. Let n = -5 + 7. Solve -h - s = -n for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 2*f + 12. Let l be 1\/3 + f\/(-15). Let z = -0.04 - -2.04. Which is the second biggest value? (a) z (b) l (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -93*w + 1118. Let p be q(12). Let l(o) be the first derivative of 0*o + p*o**2 + 4\/3*o**3 + 1\/4*o**4 + 14. Suppose l(c) = 0. Calculate c.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 3*p**5 + 15*p**4 - 3*p**3 - 15*p**2 = 0.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*t - 5*a + 61, 3014*t + 4*a - a = 3019*t + 5*a - 28 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 22*i**2 + 5*i - 4. Let a(o) = -o**3 - 9*o**2 + 11*o + 24. What is the least common multiple of j(4) and a(-10)?\nAnswer: 2576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 = 5*x + 3*a, 120*a = 5*x + 117*a - 131. Solve -x*r = -31*r + 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j**2 + 1140. Let p(i) be the third derivative of -i**4\/24 - 491*i**2 + 3. Calculate p(x(r)).\nAnswer: -3*r**2 - 1140","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-16)\/2)\/16)\/(4\/(-48)*-10).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -7*v + 1. Let t(c) = -37*c - 4. Let z(r) = -65*r - 7. Let w(l) = 7*t(l) - 4*z(l). Calculate w(d(s)).\nAnswer: -7*s + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1292*g**2 - 2136*g**2 - 1515*g**2.\nAnswer: -2359*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -830, -866, -910, -962?\n\"Answer: -4*j**2 - 24*j - 802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 67911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 515070011 to the power of 1\/5, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*g**4*q**2 + 50801*g**4*q + 860569*q**2 with respect to g.\nAnswer: -20*g**3*q**2 + 203204*g**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4619939, 4619884, 4619829, 4619774, 4619719?\nAnswer: 4619664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 909262 and 1656?\nAnswer: 752868936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17937403013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 20448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 5*k - 33 = 0, -k - 8 = 3*z - 53. Solve 4*q = 8*q + z for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186376089 to the power of 1\/2, to the nearest integer?\nAnswer: 13652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-42))\/((-1)\/9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, a: 1, c: 8}. What is prob of picking 1 h and 1 c?\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + 5 + 32 - (0 + -1)*-5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1060000 rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*q**2 + 4*q**3 - 39*q**2 - 2*q**3.\nAnswer: 2*q**3 - 28*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(405)*2 + sqrt(405)) + (2*(-1 + sqrt(405)))**2)*-5 - ((sqrt(5) - sqrt(25)\/(-1*sqrt(5)) - sqrt(5) - (sqrt(320) + 1))**2 + -2).\nAnswer: -8364 - 464*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*d + 21 = -3*w - 119*d, 3*w - 4*d - 14 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46 - 26. Suppose 0 = -5*f + f + w. Suppose -5*y = 4*j - 85, -3*y + 34 = -y - f*j. Is y a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m - 1. Suppose -2*z + 21*z + 133 = 0. What is x(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of 0*j**3 + 1\/2*j**2 - 27*j + 7\/3*j**4 + 0. What is the first derivative of a(o) wrt o?\nAnswer: 56*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 14) to base 5\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 16) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1021, 2318, 3897, 5758, 7901?\n\"Answer: 141*c**2 + 874*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10 - 45\/4*g - 5\/4*g**2.\nAnswer: -5*(g + 1)*(g + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4*z**2 - z - 19. Let q(g) = -2*g**2 - g - 9. Let f(m) = 9*q(m) - 4*y(m). Give f(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 9*a + 0*a + 36*a.\nAnswer: 45*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 less than 37363695?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 433*d + 1048*d - 97500 = -19*d for d.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2319*h + 348 = 2320*h. What is the remainder when h is divided by 54?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-30)\/(-135) + 176\/18. Suppose 0 = -g - x*i + 5*i - 54815, 3*g = -i - 164403. Round g to the nearest 1000.\nAnswer: -55000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 12:11 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 11*s**2. Let z(v) = 2*v - 59666*v**2 - 59615*v**2 - 2*v + 119233*v**2. Determine c(z(t)).\nAnswer: 25344*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m\/(m\/m**(4\/7))*m*m**(-18))\/((m*m\/(m*m**19))\/m**(-3\/10)) assuming m is positive.\nAnswer: m**(229\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1522\/357 or 4?\nAnswer: 1522\/357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -11*m**2 + 1893*m - 68. Determine w(172).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3219 - 3221. Let a = -12 - -7. Sort 0.07, i, a in descending order.\nAnswer: 0.07, i, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of h**5\/30 + 7*h**4\/24 + h**3\/3 + 16*h**2. What is the units digit of y(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h**3 + 27*h**3 + h**3)*(2 - 2*h - 2).\nAnswer: -44*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/14)\/((-28)\/(-98))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 346.664 + -346. Let t = f + 0.336. Sort -2\/13, -3, 0.3, t in decreasing order.\nAnswer: t, 0.3, -2\/13, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65269 + -454213\/7. Which is bigger: l or 380?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 93\/(-4) + (-7)\/4. Let y be 4*2 + 19\/(95\/a). Solve -5*n - 2 = -y*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 166\/3 (b) 8 (c) -0.3 (d) 3 (e) 2\/7 (f) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 22 - 7 = 0. Suppose h + 2*d - 9 = 0, 16 = 2*h - n*d - 16. Suppose 5*a - h - 13 = -l, -a = -3*l - 2. What is the highest common factor of l and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**2 + 3*q**2 - 3*q**2 + (-3 + 7 - 3)*(q**2 + q - q) - 2*q**2 + 3*q - 3*q - q**2 + 2*q**2 - 3*q**2 + 8*q - 21*q**2 - 8*q.\nAnswer: -22*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 8*o**2 + 2*o - 10. Calculate j(-8).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2231230 to the nearest integer?\nAnswer: 1494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1819789429 to three dps.\nAnswer: -0.182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0998 + 0.0536. What is g rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/(-6) - (168\/36)\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/20136 and 73\/451382.\nAnswer: 5416584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -29466, 2, -13, 1 in decreasing order.\nAnswer: 2, 1, 0, -13, -29466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 36179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/1840 and 89\/3220.\nAnswer: 12880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -981 = -175*y + 1819. Solve -4*u - 4*h - y = 0, -5*u - 3*h = 15 - 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v\/(v\/(((v**(-28)\/v)\/v)\/v)*v))))**(-6)*v*v*v**38*v**(-34) assuming v is positive.\nAnswer: v**198","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - -1) + -14 - 2. Let u be t\/(-6) + (-1)\/(-2). Suppose 0*v + 175 = u*v - 5*w, -v = -3*w - 61. Round v to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pfe when three letters picked without replacement from {p: 3, e: 2, x: 4, f: 2}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24564 + -25294. Which is smaller: l or -1\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, q: 1, x: 1, j: 1, f: 2, s: 2}. Give prob of picking 1 q and 1 f.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 - (-1289)\/(-1))*(-2 + 1).\nAnswer: 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 1:59 AM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 42523.11 take away -2?\nAnswer: 42525.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -16273277 to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 5*d. Let k be (1 - 1) + (d - -1). Let v be ((-5)\/(-5))\/(3*k). Does 4 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 568 and 20874.\nAnswer: 83496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pwmsz. What is prob of picking 1 s and 1 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 656072 is divided by 204.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**5 - 5*z**5 + 2*z**5 + (-2*z**5 - 5*z**4 + 5*z**4)*(2 - 7 + 1) - 3*z**5 + 3*z**5 + z**5.\nAnswer: 8*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10 + 2 + 20)\/(1 - -1). Let z(g) = 10 - 3 + 0*g + g. Determine z(w).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d - 7*d + 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 93056 = -5*f + 93096, -5*d + 12 = -2*f for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 880.4011mm in kilometers?\nAnswer: 0.0008804011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/2*46)\/((-112)\/28).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 3*a + a)*(-5504 - 5333 + 3324 - 6529 - 443).\nAnswer: -28970*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + m + 2*k - 134, -m - 6 = 5*k. Let r = -93 - -136. Let p = m + r. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21268770 to the nearest 10000.\nAnswer: -21270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*i + 8 = 0, 3*g + 2*i - 15 - 5 = 0. Suppose 0 = g*q - 5*q + 2, 0 = t - 4*q. Calculate the highest common divisor of 88 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-17\/2)\/(g\/(g\/(g**12\/g))) assuming g is positive.\nAnswer: g**(-39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 4 + (-5)\/((-30)\/9).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n - 41. Determine m(-14).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 63, 8 in increasing order.\nAnswer: -2, 0, 8, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - k = -34, -5*q + 0*q + 30 = -5*k. Differentiate 38*j - 19 - 7*j - 16*j - q*j with respect to j.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - ((-28)\/3)\/4. Is -1325 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 17*p**2 - p + 12. What is the units digit of f(-17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 31 + 3*d**2 - 31. Let b(j) = 3*j + 0*j + 0*j. Determine b(w(z)).\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3395020952 to the power of 1\/5, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 70339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -372\/11 - -2987\/88. Put -389, j, -4\/7 in ascending order.\nAnswer: -389, -4\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -98 divided by 5?\nAnswer: -98\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -26*o - 5 + 242. Let n(y) = -y**3 + 5*y**2 + 16*y + 2. Give n(o).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 15*d**2 + 21*d - 2. Let j be z(-15). What is j rounded to the nearest ten?\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153156296 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2655 divided by 3.\nAnswer: 885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11731 is divided by 55.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, -6.5, 0.1 in descending order.\nAnswer: 0.1, 0.08, -6.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixteenth of a millennium?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from paaaappappapapppppp. What is prob of sequence paa?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1024)\/(-2304) - 633\/27?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 210.8259 tonnes?\nAnswer: 210825900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5797 - 6019 = -37*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3 + 2, 2*o + 1 = -3*k. Let q be 3936\/720*(8\/(-3) + o). Is -10 >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 3)*(-j**2 + j**2 + j**2) + 10805*j**2 + 10810*j**2 - 21608*j**2 + 5 - j + j - j**2 - 1 + 1 - j**2 + (-3 + 3 + 2)*(j**2 + 2*j**2 - j**2).\nAnswer: 10*j**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7008 and 4380.\nAnswer: 35040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.24695 + -0.05305. Put 39, -1, -3, t, 0.2 in descending order.\nAnswer: 39, 0.2, t, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -806229 divided by 424?\nAnswer: -806229\/424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -35 - 25. What is the highest common divisor of i and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2520167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -16. Let i = 6 + z. Which is smaller: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 715 divided by 11\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1765 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3680208, -3680195, -3680182, -3680169, -3680156, -3680143?\n\"Answer: 13*t - 3680221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -20120102?\nAnswer: -20120101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 42, 92, -3, 10, 4 in decreasing order.\nAnswer: 92, 42, 10, 4, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of 0*v**3 - v**2 + 0*v + 0 - 1\/150*v**5 - 1\/100*v**6 + 0*v**4 - 2\/525*v**7. What is m in d(m) = 0?\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12452 + -12477. Let n(o) = -o**2 + 4*o + 4. Let i(d) = -5*d**2 + 25*d + 25. Give r*n(h) + 4*i(h).\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(300))\/sqrt(12))\/(sqrt(45) - sqrt(4500)) + -4.\nAnswer: -4 - sqrt(5)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 10*z - 7. Let s be q(11). Let c(r) be the first derivative of -r**2 - r**2 - r**2 + s*r**2 + 9 - 14*r. Differentiate c(o) wrt o.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19980711?\nAnswer: 3, 193, 11503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - w = 2*t - 50, 2*t + 4*w = 20. What is the greatest common factor of 5 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13102203 (base 4) to base 11\nAnswer: 20485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -5*j + j. Suppose -3*z - j = -8*z. Suppose -36 = -2*c - 3*u, -3*u - u = 8. What is the greatest common divisor of z and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 256, 0, 69, 2 in decreasing order.\nAnswer: 256, 69, 4, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*c**2*w**2 - c**2*w - 4*c**2 - 124*w**2 - 2 wrt c?\nAnswer: -8*c*w**2 - 2*c*w - 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (240\/(-3080))\/(432\/(-252)).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1056585 is divided by 75458.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110825?\nAnswer: 5, 11, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268 is divided by 43?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 o when two letters picked without replacement from vvvuvvvvvovvovvovvvv?\nAnswer: 24\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42706 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/7 - 124*c**2\/7 + 645*c\/7.\nAnswer: -c*(c - 5)*(c + 129)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 624261093 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4112307, -4112305, -4112303, -4112301?\nAnswer: -4112299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhro. Give prob of picking 1 r and 1 h.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5451135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 20*g**3 + 6*g**2 + 12*g - 3. Let c be i(-3). Let v be (-1)\/(-4) + (c\/20)\/(-7). Let u = -2.9 + 3. Which is smaller: v or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 97.02661ml?\nAnswer: 0.09702661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/88975 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of 1\/120*i**6 - 1\/6*i**5 + 0*i + 0 + 7\/6*i**3 - 85*i**2 + 0*i**4. Determine g(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.171 + -0.029. Let r = 30753\/23 - 1337. Let n = 0.1 - 0. Which is the closest to n? (a) m (b) r (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -17. Suppose 0 = 4*d + b*j - 13, -3*j = -2 - 7. Solve -5 = o - d for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -64*s + 127 + 1. Solve 0 = 5*k + h + s*h + 14, -2*h = -4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10659)\/34)\/(-33) - 12.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65 and 715.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 2:52 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 20 - -533010?\nAnswer: 533030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**2 - 29*y + 29*y)*(4 - 2*y**3 - 4 + (-3 - 1 + 2)*(455*y**2 - 455*y**2 - 4*y**3)).\nAnswer: -24*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 96635040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 1 - -5) + -13\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*c + 40*c + 3*w + 5 - 13 = -31*c, -2*w - 102 = 16*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 177*j - 180*j**2 - 89*j - 88*j - 157*j**2 to the form l + x*j**2 + v*j and give x.\nAnswer: -337","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 + -337f1?\nAnswer: -337ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 24547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201*d**2 + 182*d**2 - 385*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 23525 times 0.5\nAnswer: 11762.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 380 is divided by 77.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven halves of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (13\/(-5) - -2)\/(200\/(-3000)). Let z(s) = 5 - s + 0*s + 0*s. Let u be z(q). Let g(r) = r**3 + 3*r**2 - 5*r - 5. What is g(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of w**5\/60 - w**4\/6 - w**3\/6 + 10*w**2. Let v = -6 - -3. Let a be z(v). What is the highest common divisor of 4 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56 - 42. Suppose 3*g**3 - g**3 + 20*g**3 + 8*g**2 + k*g**3 + 28*g**4 = 0. Calculate g.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8535*u = -8497*u - 2166 for u.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-59)\/((-5310)\/(-108)) + (-28)\/(-15). Which is the fourth smallest value? (a) 4.5 (b) 0.3 (c) x (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125748 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208*l + 71*l + 17472 = -85*l for l.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3380 and 7968220?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**9\/m)\/m*m**(5\/6))\/(((m*m\/((m\/(m**(-1)\/m))\/m))\/m)\/(m**(9\/8)*m)) assuming m is positive.\nAnswer: m**(263\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/12)\/((-1)\/1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2695651 times 14?\nAnswer: 37739114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from iinijiiiijnjijj.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m**2 + 2*m**2 - 36*m + 2 + 34*m. Let n be h(0). Solve -b = -2*g + n, -3*b = -2*g + 4*g + 6 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 4:48 PM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/9*-6*2\/4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -392, -669, -950, -1235, -1524, -1817, -2114?\nAnswer: -2415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from emimmqmql. Give prob of sequence ml.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2. Let z(u) = -u + 13. Let b be z(10). Let l(a) = 9*a**2 + b*a**2 + 0*a**2 - a**2. What is l(x(m))?\nAnswer: 11*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + x - 46 = 4*i, 0 = 3*i + 3*x - 54. Which is greater: i or 12?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -283, -0.3, 0, 0.06 in descending order.\nAnswer: 5, 0.06, 0, -0.3, -283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -11*w**2 - w + 3. Let y be p(-2). Is -38 at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 - -30. Let j be -1 - (-13 + 2)*h. Let d = j + 12. List the prime factors of d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -58*o - 3. Let h be 75\/10*(-2)\/3. Is x(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 922 divided by -4?\nAnswer: -461\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -593610.7 to the nearest one hundred.\nAnswer: -593600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/1296*-4*(-18)\/30.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yqyyppypyxypxyyxyy. What is prob of sequence xy?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 111222 (base 3) in base 14?\nAnswer: 1cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*m + 101*m**2 - 25 + 25 - 399*m**2 to q + t*m**2 + r*m and give t.\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -2\/3 (b) -3 (c) -69 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39999189.\nAnswer: 3, 1543, 8641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14.941 + 14.441. What is the fourth biggest value in 0.02, 3, -3, v, -15?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -71, 7221, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**4 - p**4 + 0*p**4 - 3*p**4 + 2*p**4 - p**4 + (2 - 2 + p)*(p**3 - p + p) - 2*p**4 - 2*p**4 + 2*p**4 - 3*p**4 + 9*p**4 - 8*p**4.\nAnswer: -8*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of -3*d**8\/1120 - 13*d**5\/120 - d**4\/4 - 8*d. Let g(b) be the third derivative of v(b). What is the derivative of g(f) wrt f?\nAnswer: -54*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 7*y**2 + 26*y - 33. What is the smallest common multiple of 33 and u(5)?\nAnswer: 1617","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42141 (base 7) in base 10?\nAnswer: -10368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(2024\/207)*(-3276)\/189?\nAnswer: -39\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140758 is divided by 170?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -7, -176, -4, 3, -90?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 times -11?\nAnswer: -3707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*t + 3*t - 2*t**3)*(15 - 1 + 1) + (0*t + t - 2*t)*(-2*t**2 + t**2 + 2*t**2) + 2*t - 3*t**3 - 2*t to d*t + u + c*t**2 + w*t**3 and give w.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9445 is divided by 4486?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l*l**17*l*l*l\/l**8*l assuming l is positive.\nAnswer: l**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(175) - sqrt(63)*-2)**2.\nAnswer: -44*sqrt(7) + 851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 12) to base 14.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 - -12 - -18 - -1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(3) + 2)*4 - (sqrt(3) + -1)*-6*-4 - (((sqrt(363) - sqrt(363)*-1) + 4)**2 - (sqrt(60)\/sqrt(2))\/sqrt(10)*6).\nAnswer: -1436 - 202*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e8 - 8c?\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -111*v**2 - 1680*v - 235. Determine w(-15).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 256242 and 256242?\nAnswer: 256242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-4\/9))\/(s*s*s\/((s**(-13)*s)\/s)*s))**21*s**(2\/7)\/s*(s**(-3\/8)\/s)\/s*(s\/((s\/(s\/s**4*s))\/s*s*s))\/(s\/(s*s\/s**(-3\/5))) assuming s is positive.\nAnswer: s**(-278171\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 726 and 3762.\nAnswer: 41382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k. Suppose 2 = -3*l + h, -4*l - h - 3*h + 8 = 0. Let t(b) be the first derivative of 2*b**2 - 3*b**2 + l + 1. Calculate t(w(f)).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 350 - 332. Calculate the highest common divisor of 3 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 13*x**2 - 13*x - 39. Let u be h(-4). What is the greatest common factor of u and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 375411 and 55857.\nAnswer: 1299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 294330, 588557, 882780, 1176999?\n\"Answer: -2*g**2 + 294233*g + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 461.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 53671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 1074 = n + 5*t, -3*n + 3*t + 1050 = 0. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5021*y - 2522*y + 1874*y + 290302 = -248253 for y.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 3*w**2 + 2*w + 4. Let h be d(3). Suppose -4*b + 2*t + 0*t = -4, -h = 5*t. Solve b*k + 2*k + 6 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + u - 37. Determine n(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 0 + -4 + (sqrt(833) + 0)**2.\nAnswer: 831","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 0. Suppose 0 = 4*h - 3*h - s. Suppose p - h = 5*x - 3, 2*p + 4*x - 24 = 0. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12346825?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 2 - (337 - 323).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/2228 and 55\/266246.\nAnswer: 532492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of 1\/4*z**4 - 2*z - z**3 - 1\/2*z**2 - 3. What are the prime factors of c(4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 24\/(-9)*6\/(-4). Suppose 0 = 2*i - w*y - 1 + 21, 0 = 4*i + 5*y - 25. What is s in i*s + 1\/3*s**2 - 1\/3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*y + 15*y = -4*w + 8, -3*w = y - 6 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 62 and 280244\/4583 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 7:20 PM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1982, 1969, 1940, 1889, 1810, 1697, 1544?\nAnswer: 1345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -21*c + 3 + 10*c - 2 + 16*c. Calculate g(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*c**5 - 57*c**3 + 56*c**3 + 8*c**5 + (-c + c + 2*c**5)*(3 - 1 + 0).\nAnswer: 26*c**5 - c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 4262*z - 17048. What is w(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/5 - (-219)\/15. Let i be 14\/28*v\/(-1). Let k = -5 - i. Is k equal to 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 91876, 183917, 275968, 368035, 460124, 552241?\n\"Answer: d**3 - d**2 + 92037*d - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2. Let s(x) = -2*x**3 + 3*x**3 + 7 - 5*x**2 - 2*x + x. Let b be s(5). Let i(a) = 0*a**2 - 3*a**2 + 4*a**b. Determine i(f(p)).\nAnswer: p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5855872*x + 10074 = 5856018*x for x.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of 2*q**7\/231 - 23*q**6\/33 + 167*q**5\/110 + 59*q**4\/66 - 169*q**3\/33 + 56*q**2\/11 - 3*q - 30. Suppose r(d) = 0. Calculate d.\nAnswer: -1, 1\/2, 1, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - g**2 + 4*g - 3. Let d be (10\/2 - 3)*-1. Let p be 9\/4 + d\/8. Suppose 2*u = u + p. Give v(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -1681*g**6\/72 - 287*g**5\/12 + 50*g**4 - 250*g**3\/9 - 172*g**2. Let h(o) = 0. What is o?\nAnswer: -1, 10\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/513, 0.2, 12, 11, -0.3 in decreasing order.\nAnswer: 12, 11, 0.2, -2\/513, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.377 seconds in nanoseconds?\nAnswer: 9377000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36 + -50. Let s be (8\/g)\/(6\/(-7)). Are s and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of r**4\/4 - 2*r**3\/3 + 8*r**2 + r. Let t(n) = -n**3 - 35*n**2 + 42*n + 211. Let k be t(-36). What is the tens digit of g(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 1:59 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4*j = -0*m + 71, j + 107 = -5*m. Let w = m + 24. Suppose -w*v + 12 = -0*v. Solve -3*q - 2 = -v*k, 0 = -q - 4*q - 4*k - 14 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84 and 1365.\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -298*g + 273*g + 117*g + 1952*g + 1 + 377*g to t + w*g and give w.\nAnswer: 2421","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15060 = 4*l - 16*l. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1035 by -1924.\nAnswer: 1035\/1924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -12*g**2 - 10*g - 430. Let w(u) = -17*u**2 - 14*u - 645. Let l(d) = 5*w(d) - 7*y(d). Let n(z) = z**2. Give n(l(i)).\nAnswer: i**4 + 430*i**2 + 46225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*q - 5*n + 3*n, 90 = 5*q + 2*n. Suppose -5*r - 4*d - 11 = -55, -5*d - q = 0. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1210542.\nAnswer: 2, 3, 201757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -2 (c) -2\/23 (d) 5 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -76.8985 to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 1\/2*38\/19.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + (3 - 5)*-1. Suppose 7*t - 5*t - q = 0. Determine c, given that 98*c**t + 144*c + 11 + 21 + 38*c**3 + 22*c**2 - 10*c**3 = 0.\nAnswer: -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, v: 5, w: 8}. What is prob of picking 2 w and 1 j?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/10*160\/(-64)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 871011 is divided by 439.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5576.155 rounded to the nearest one hundred?\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -5277 - 25*w + 10534 - 5273 as m*w + h and give m.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -477841 minus 343?\nAnswer: -478184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(1\/4)*u*u)*u)**23*(u\/u**(-2\/9))**35 assuming u is positive.\nAnswer: u**(1333\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (4\/6)\/(7\/6 - 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 27*o**2 - 2*o + 6. Let d be u(-6). Suppose -d = -5*s - 275. What is the greatest common divisor of 13 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -483117967.00000044 - -483117952. Let r = -15 - o. What is r rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -208\/19 - -277\/152. What is the common denominator of l and (-2)\/(-15) - (-38395)\/7350?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2 + 821296*n + 96146388.\nAnswer: -4*(n - 205441)*(n + 117)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-210)\/(-2))\/((3\/18)\/(5\/(-45)))?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -243 - -111. Let u = -131.762 - g. Round u to 2 decimal places.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000285089741 rounded to seven dps?\nAnswer: -0.0002851","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1110100010100001101111 (base 2) to base 11\nAnswer: 2173655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 298680097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20 - 3121?\nAnswer: -3141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7205, 7377, 7549, 7721, 7893, 8065?\nAnswer: 8237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 2*a = -u - 14, -a - 5 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - 21*z - 45. Let q be g(-18). Let l = q + -6. Which is smaller: l or -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t. Let n(u) be the third derivative of -107*u**4\/12 - 94*u**2. Calculate p(n(o)).\nAnswer: 428*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46 and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 8*o**2 - o + 5. Give x(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 121 and 319.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 + 15\/(-45)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27896*r - 27891*r + 4*h + 2 - 61 = 0, 2*r - 110 = -7*h for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 3. What is the units digit of 69\/6 + (-2)\/n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: fa72 (base 16) to base 14\nAnswer: 19518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.6 - 3.4. Let m = 2 + -13\/6. Let b = 33 + -35. Put m, s, b in increasing order.\nAnswer: s, b, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/d**(-13))\/d**(-3))**(-2\/13))**(3\/32))**(-1\/31) assuming d is positive.\nAnswer: d**(51\/6448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of u**2\/2 - 9*u - 7. Let i be c(15). What is the second derivative of -i*s**3 - 4*s**3 + s - 11*s wrt s?\nAnswer: -60*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*r - 2*s = 25, -10 = -5*r + 5*s. Let d = 1 - -3. Solve -a + m = -r, 0*a + 4*m + d = -4*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 20273, 20265, 20245, 20207, 20145?\n\"Answer: -m**3 - m + 20275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - a**2 - a + 2. Let g be s(1). Suppose 14 = 3*z + 2*k - 0*k, -4*k = -5*z - 6. Solve -n + z*n = -g for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -21066.\nAnswer: -21062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -7 + 1\/2*r**2 + 0*r. Let b(a) = 41*a**2. Calculate g(b(w)).\nAnswer: 41*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4389191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11b + 3?\nAnswer: 11e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(891) - (sqrt(891) - (sqrt(891) + 1 + -2 + sqrt(891) + sqrt(891)))) - (-3 + sqrt(704)*5 + 0))**2.\nAnswer: -104*sqrt(11) + 1875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**(-2\/3)*n)\/n*n*n)\/n)**7)**(9\/2)\/((n*n\/(n\/(n*n**(-4))))\/((n\/(n*n*n**(-5)*n*n)*n)\/n*n))**(9\/2) assuming n is positive.\nAnswer: n**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 267*p - 803*p + 2*p**3 + 267*p + 269*p.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 576776918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**6*v)\/v*v**(-3)*(v**(2\/5)\/v)**(2\/23))**(1\/22))**(-30) assuming v is positive.\nAnswer: v**(-1362\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 13, j: 3}. What is prob of picking 2 x and 1 j?\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -6*o**2. Let n(x) = -71*x. Calculate n(w(f)).\nAnswer: 426*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z - 105991 = 47393. What is the remainder when (z\/176)\/(6\/16) is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(425)*1 - ((0 + sqrt(68))**2 + sqrt(51)\/sqrt(12)).\nAnswer: -68 - 11*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + (2 - 1) + 0. Does 10 divide 3706\/187 + j\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 8 = 3*i. Suppose -p + 2*l + 31 = -i*l, 0 = -4*l - 16. What is the remainder when p is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + 143*g + 3833. Determine s(-31).\nAnswer: 361","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/5)\/y)**(6\/11)*y**(-37)\/(y\/((y\/(y**14\/y))\/y)*y*y) assuming y is positive.\nAnswer: y**(-2939\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 7*o**2 - o - 4. Calculate t(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 21 = -7*d + 3*k, 5*k = 4*d - 31 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -20711, -37447, -54183, -70919?\n\"Answer: -16736*h - 3975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + b + 72 = -25, -3*u = -4*b - 76. Let o = 135 + u. Calculate the remainder when o is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3056 at most 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 187733230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + (sqrt(343)*-1 + 0)**2 + 4*(5 + sqrt(343) + -1 - sqrt(343)))*-1 + -2.\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5699\/6 - -960. Find the common denominator of 106*(-2)\/(-40) + 2 and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-20)*(1978 - 2148).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2569 a factor of 577392050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56 - 223\/4. Are s and -0.19 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - ((-5 - (0 + -11)) + 5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 33) + 125 + 8 + -101?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 1845*n**3 + 8*n**2 + 45*n - 121. Is f(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 448\/245 + 2\/14*(-2 - 8).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44 - 41. Suppose 87*k + 52 + 7*k**2 - 127*k - p*k**2 + 48 = 0. Calculate k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 12*g - 27. Let n be t(5). Let h be (n\/22)\/(1\/(-40)). What is the tens digit of ((-375)\/h)\/(2\/32)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20465, -20396, -20327, -20258?\nAnswer: -20189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(2\/9))\/(h*h\/((h*h*h**(-5))\/h))*h\/h**(-3\/5)*h**(-3)*(h**3*h**(-2\/27)*h)\/(h**5\/h*h*h**(1\/2)*h) assuming h is positive.\nAnswer: h**(-2483\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3*sqrt(200))**2 + -3*(sqrt(200) + -1 + sqrt(200) - sqrt(200))**2 + -6*6*-1*sqrt(200)*-2.\nAnswer: -660*sqrt(2) + 8397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21\/8 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 3*n - 586 + 190, 3*n - 240 = -3*m. Suppose 3*p - 29 = 19. Calculate the remainder when m is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/sqrt(3)*5)\/(sqrt(160)*-2).\nAnswer: -5*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 2*s - 0*s - 5, 2*x - 5*s + 3 = 0. Let u be (2\/(-7))\/x + 1147\/217. Solve -u*t - 7 = -32 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12 + -1 + 0 + (-33)\/11. Suppose -h*o - 4204 + 15524 = 0. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*q - 146*q = -15. Suppose 0 = -z - q, 2*a - 2*z - 319 = z. What is the greatest common factor of a and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a centimeter in micrometers?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t + 2534 - 2556 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 0*q - 2*c - 20 = 0, 2*c = -5*q + 7. Suppose -4*j = q - 11. Suppose -j*i + 16 + 22 = 0. Does 12 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.66 in 2\/9, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2891, 5919, 9107, 12413, 15795, 19211?\nAnswer: 22619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1908 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -4*i + 3*c - 21, c = i + 6. Suppose 5*g - 36 = 2*k, -5*g = 3*k - 12 - 34. Let u(a) = 10 - 3*a + 2*a - g. Determine u(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 10:44 AM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -22. Suppose 0*q = 2*q, 5*y - 2*q - 5 = 0. Suppose -y + 31 = 5*j. Calculate the least common multiple of j and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/5)\/((-9)\/15))\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*f**3\/5 - 8871*f**2\/5 - 4338357*f\/5 - 4329489\/5 = 0. Calculate f.\nAnswer: -2339, -617, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 31 - 35. Suppose -3*t - v*t**2 + 8*t + 28 + 2 - t**2 = 0. Calculate t.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**3 - 2*d**2 - 6*d + 2. Let s be z(-2). What are the prime factors of 312\/1 - (-8 - s)?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(539))**2 + 3 - ((sqrt(539) + -4)**2 + 2).\nAnswer: -6 + 98*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/1977 and -71\/6.\nAnswer: 3954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(9516\/(-24))\/(-13) + 29.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bjjkgjbjkgg. Give prob of picking 1 k and 1 g.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 33*q - 129, -3*q + 79 = -2*l + 65 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -15+-468\nAnswer: -483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 4*q**3 - 6*q**2 - 8. Find the second derivative of z(p) wrt p.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 14*f - 67. Calculate t(20).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.64173 to one dp.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -3. Let n(w) = w - 1 - 4 + z*w + 3. Give n(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-9)\/(-21))\/((-18)\/(-48)))\/((-2)\/(-21)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (3 + -1 + -2) - -6. Suppose 4*z = s - 3, -4*s = c*z + 7 + 1. Let m(x) = x**2 + 5*x + 1. Let d(a) = a**2 + a. What is z*m(r) + 3*d(r)?\nAnswer: 2*r**2 - 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 - 1464?\nAnswer: -1454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-24)\/(-18))\/((-2)\/6). Let w be (-1)\/(-4) + (-827)\/l. Let a = 309 - w. List the prime factors of a.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((6*-1*sqrt(110) + (sqrt(110)*-2 + sqrt(110))*-1)*1)\/(2*-1*sqrt(10)*2*-3).\nAnswer: -25*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-96) + (-25165)\/(-840)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*sqrt(1700))**2*-1.\nAnswer: -1704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 467320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 1, 2\/7, -0.535, -4, 3\/2 in increasing order.\nAnswer: -4, -0.535, 0.1, 2\/7, 1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/(-6))\/((-40)\/64) + 63\/(-27). Suppose 10 = -3*n + n. Sort r, 5, n in descending order.\nAnswer: 5, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -39, 1, 16 in descending order.\nAnswer: 16, 4, 1, -5, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1472\/56 - -2) + (-4)\/14. What is the hundreds digit of (-8)\/(-6)*(-42)\/i - -600?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.949 + -0.051. Which is the third biggest value? (a) 2 (b) v (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 3562002709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -5*c + 20. Let g be l(3). Let q be (16 + -1)*(2 + -1). Suppose -4*r + q = r. Sort -2, g, r in ascending order.\nAnswer: -2, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 58 (b) 3227 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7728 divided by -3.\nAnswer: 2576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of -l**5\/10 + l**4\/6 + l**3\/6 + 677*l**2 - 3*l - 1. Let v(o) = o - 1. What is -c(y) + v(y)?\nAnswer: 6*y**2 - 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(85) + sqrt(85)*-3)\/sqrt(5) + -3.\nAnswer: -3 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -5*s + 6. Let o be (-4)\/12 + 77\/(-3). Let j = o + 39. Let k(v) = -5 + 5 - 11*v + j. Calculate -13*a(m) + 6*k(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -11 (b) 3 (c) -1 (d) 2\/11 (e) 6\/7 (f) -333 (g) 0.1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 d, and 1 s when three letters picked without replacement from {q: 3, s: 1, p: 4, d: 5, h: 3, u: 1}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1380.6 - 224977131?\nAnswer: -224975750.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of y**7\/140 - y**6\/40 - y**5\/40 + y**4\/8 + 7*y**2. Factor h(u).\nAnswer: 3*u*(u - 2)*(u - 1)*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**2 + 3*c - 3*c + 7*c - 4*c**2 - 7*c - 371*c + 144*c**2 + 371*c + (5*c - 4*c + c)*(-4*c - c + 4*c) + 5*c**2 - 5*c**2 - c**2.\nAnswer: 138*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -71*i**3 + 6*i**2 - 6*i. Let u(l) = 71*l**3 - 7*l**2 + 7*l. Calculate -7*h(n) - 6*u(n).\nAnswer: 71*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 58, 72, 72, 52, 6, -72?\n\"Answer: -y**3 - y**2 + 24*y + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 343676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 923000000 rounded to the nearest one million?\nAnswer: 923000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, x: 1, r: 1}. What is prob of sequence rm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of -p**6\/120 - 11*p**5\/60 - p**4\/2 - 8*p**3\/3 + 3*p**2 + 19. Let x = -2 + -8. Let v be d(x). Solve v*a = 8*a - 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2 - -1) + -4 + 24?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 113*v + 822. Give x(-8).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -466, 209, 884, 1559?\nAnswer: 2234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**2 - 3*v**3 + 3 + 1 + 19*v + 0*v**2 + 6. Is 40 a factor of h(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -1 - (2 - -1) - -7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75 and 411600?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 839 + -851. Let i be (p\/9)\/((-8)\/12). Solve -i*q + 24 = 26 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millimeter in micrometers?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 - 528*u**2 - 3*u + 528.\nAnswer: 3*(u - 176)*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 4*q + 14 = 8*l, -26 = -l - 5*q. Which is the second biggest value? (a) -1\/7 (b) 2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 7 = -0*k. Suppose -4*m + 8*m - k = 3*w, 12 = -2*w - m. What is the second smallest value in w, 0.4, -3\/2, -0.2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 (base 6) in base 4?\nAnswer: 2021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/4)\/(39\/((-154128)\/52)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 56.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of x**5\/20 + x**4\/6 - x**3\/2 - 3*x**2\/2 + 2*x. Suppose -4*v + 5*v = 0. Let l = -3 + v. What is f(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g + 6*g + 8*g - 14 - 4*g.\nAnswer: 9*g - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**2 - f**2 + f**3 - 16487*f + 3*f**3 + 38 - 2*f**2 + 16487*f + (0*f + 3*f - 2*f)*(-1 + 1 - f**2) to the form b + m*f**3 + j*f + v*f**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 10:58 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 253\/8 or 32?\nAnswer: 253\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/189612474 and 19\/18.\nAnswer: 568837422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 364 a factor of 78260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1142, 1487, 1844, 2213?\n\"Answer: 6*o**2 + 327*o + 809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12957?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49\/2 + 24. Suppose 0 = -17*k + 50*k + 99. What is the nearest to h in 0, k, 6\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 6*l + 8. Let b = -0.901 + 0.851. What is the nearest to 3 in l, 0, b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 10*q - 75. Let f(s) = -3*s - 3*s + 9*s + 0*s. Let a(v) = -v**2 - 7*v - 1. Give q*f(u) + 2*a(u).\nAnswer: -2*u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/4 - 89*b\/4 + 99519.\nAnswer: -(b - 588)*(b + 677)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4\/5 (b) -2 (c) -1561 (d) -40\/13 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(63\/3))\/((-26273)\/7826).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (365 - 383) + 4 + 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3415, -38, 2\/17, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-10) + 1 - 3744\/(-780). Solve 2*l - l - 3*c + n = 0, 2*l + 4 = 3*c for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ptsssdpstsptsbt. What is prob of sequence ts?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8664, 34884, 78658, 139986, 218868?\n\"Answer: 8777*y**2 - 111*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 27*g - 37. Let a be d(6). Let q be 16 + 112\/(-20) + 4\/(-10). What is the highest common divisor of a and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or -2786\/471?\nAnswer: -2786\/471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 271540?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 82020 divided by 5\nAnswer: 16404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 8982, 5 in decreasing order.\nAnswer: 8982, 11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h - 2*t + 52, -54*h - 70*h - 4*t - 4 = -123*h for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 117*f = 115*f + 4, -4 = -4*c + 2*f. Suppose -s = -3 - 1. What is the remainder when s is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*j + 1 = 0, -2*w - 2*w - 19 = j. Let n = 220.9 + -220.4. Which is the second biggest value? (a) -2.1 (b) w (c) 0.4 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 - 25. Let r = v - 18.89. Let p = 0.1157 - r. Round p to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -646 (base 7) to base 6.\nAnswer: -1304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2919ca (base 15) to base 14.\nAnswer: -3977c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -j + 10, 2*j = 2*i + 2*i - 28. Let d(q) = -4*q + 9. Let u(o) be the second derivative of -o**3\/6 + o**2\/2 + 4*o. Calculate i*u(g) - d(g).\nAnswer: -2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyyyyyy. Give prob of picking 3 y.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 205913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -12 + 9 + 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 156 and 312?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 62327859353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 22, 31?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*t - 14 = -n, 3*t = -6. Suppose -n*r = -2*b - 32, r + 3 = 4*b + 32. What are the prime factors of (-40)\/b + 1\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8643492 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39932 is divided by 487.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 821263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 27*g - 154*g = 40*g - 29784 for g.\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 425 is divided by 73?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -2*k - 2, 6 = -3*y + 2*k + k. Let w be 40\/(-15) - (-2)\/y. Let u be (-4)\/w*18\/4. What is the highest common factor of u and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-68)\/(-102)*1\/((-2)\/591). Let y = -57 - l. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-4\/13))\/(v**(1\/23)\/v)*v**22*v**(-1\/37) assuming v is positive.\nAnswer: v**(268136\/11063)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1916 + 15373\/8. Find the common denominator of b and (202*3\/(-24))\/(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006758 to 7 dps.\nAnswer: -0.0000676","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 134085, 268255, 402423, 536589, 670753, 804915?\n\"Answer: -j**2 + 134173*j - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u\/(u*u**(-8)*u)*u*u)\/(((u*u\/u**(2\/25)*u)\/u)\/u)*u**(-2)*u*u**(-1\/7)\/u assuming u is positive.\nAnswer: u**(1389\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -g + 489. Let j = -222 + g. Is j a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03220242 times -0.2?\nAnswer: 0.006440484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 + 17 = -4*g + m, 5*g = 3*m - 14 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 540478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19080 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5*l + 18976 = 0, -86*l = -2*j - 91*l + 19056. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-130)\/16)\/((-45)\/(-2700)*75)?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50.7103 + -53.751. What is v rounded to 1 decimal place?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**5 - 76*m**4 - 1873*m**3 - 13598*m**2 + 33124*m - 17576 = 0. Calculate m.\nAnswer: -26, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**3 - 6*v**3 - 6*v**3 + 0*v**3.\nAnswer: -11*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + d + 1 + 23 = 0, -4*d + 23 = 5*o. Let y be 22\/33 + o\/3. Find the common denominator of -75\/4 and y*231\/144*-2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 596 - 598. Put -5, -1, h in ascending order.\nAnswer: -5, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 9 + n**3)*(-2*n - 72 + 72).\nAnswer: -2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27059.5 + -27306.134. Let k = -247 - o. What is k rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.79 minus -14510678515?\nAnswer: 14510678515.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -445*q = -43958128 + 4458040 - 4570042. What is the thousands digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121055.\nAnswer: 5, 11, 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23958660*u**3 - 15679882*u**2 wrt u?\nAnswer: 143751960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of y**4\/6 - y**3\/6 - 4*y**2 - 4205*y. Calculate f(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 819?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + -7 + 21 + 12 + -54?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) 1 (c) 2\/7 (d) 0.051 (e) -0.897\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 210 + -53. List the prime factors of h.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93567 is divided by 58.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.93 + 6.93. Suppose 69 = 3*y + 84. Which is the nearest to -4? (a) d (b) 2\/7 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 160 and 36320?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -i**5\/20 + 13*i**4\/12 - 5*i**3\/3 + 4*i**2 - 1431*i. Calculate f(12).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c - 11. Let o be w(-9). What is the remainder when 25 is divided by (24\/20)\/(o\/(-15))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10.6+494\nAnswer: 504.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = 4*d + 3. Let w = d + 19. Find a such that 0 + 0*a - 9\/2*a**4 + a**w - 7\/2*a**3 = 0.\nAnswer: -1, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16868132 divided by 4217033\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 449 + -445. Suppose -q*p + 26 = 2*r, -5*r + 3*p + 54 = -50. Solve 2*f - r = x - 6*x, x = 5 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 258125.1 - -0.6.\nAnswer: 258125.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 275479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 738.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1+4645\nAnswer: 4644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18051\/16 - 1134. What is the common denominator of l and 18 + -7 - (-3099)\/(-264)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11466 is divided by ((-63)\/9)\/28*-124.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14601610 to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -486, -971, -1456?\n\"Answer: -485*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -10. Let g be f\/10 - 1484\/(-35). Let v be g\/12 - (-1)\/(-2). Solve 2*h - 4 = 4*s + 5*h, -v*h - 10 = s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**3 - 7334*m**2 + 7333*m = 0.\nAnswer: 0, 1, 7333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 245*l**5 - 2220*l**4 - 30000*l**3 - 50830*l**2 - 21765*l + 1530 = 0. What is l?\nAnswer: -6, -1, 3\/49, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(41\/(8610\/(-45))).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 46 = 5*y, -y = -3*z - 1 - 12. Solve -56*b = -54*b - y for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1001*i**3 - 159 + 57 + 102.\nAnswer: -1001*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 2*i**2 - 2*i - 1. Let a be p(-1). Suppose -4*n = 2*j - 276, -241 = -a*j + n + 2*n. Is j a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*b**3*f**4 - 3*b**3 - 5*b**2*f**4 + 56*b*f**2 - 7*f**3 wrt f?\nAnswer: 72*b**3*f - 120*b**2*f - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -210 - 316*l + 136 + 114*l wrt l?\nAnswer: -202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1488 and 36?\nAnswer: 4464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -1626 + 1954. Calculate the remainder when 161 is divided by x.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*i = -15*i - 20 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/81)\/((-3*16\/(-72))\/(-1))?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + x = -8, 14 - 2 = 5*t + x. Find the second derivative of t*m**4 - m - m**4 - m wrt m.\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -126939*u**3 + 92068 with respect to u.\nAnswer: -380817*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(70) - 1*sqrt(70)))\/(2*sqrt(10)*-4) + (2*(-2*sqrt(14)\/sqrt(2) + (2*(sqrt(7) - (sqrt(7) + sqrt(7) + -1)) - sqrt(7)) + -4))**2.\nAnswer: 80*sqrt(7) + 716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2556? (a) -1 (b) 28 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 220 + -a31?\nAnswer: -811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 410 * 54.\nAnswer: 22140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/4 - 30639*n**2\/4 + 245161*n\/4 - 459705\/4.\nAnswer: -(n - 5)*(n - 3)*(n + 30647)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/33)*u**(5\/2)*u**(-13\/5)*u*u*u*u*u*u**(7\/2)\/u*u*u assuming u is positive.\nAnswer: u**(1541\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -310*o + 10285 - 8829 - 14476 for o.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2399.\nAnswer: 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.2895*37\nAnswer: -10.7115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.75 rounded to zero decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -v**4 - 3183528*v**2 - 3*v - 1036526 wrt v?\nAnswer: -12*v**2 - 6367056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 495966133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 284473?\nAnswer: 7, 40639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oqao when four letters picked without replacement from {a: 1, g: 5, o: 3, c: 1, q: 1}.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of n**4\/24 + 4*n**3\/3 + n**2. Let r be q(-6). Solve -g = 5*m - 2*m + 4, g = -r*m - 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3980963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-45)*5\/14*(-252)\/360.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.13 + 0.77. Let v = 97 + -96. Let i = j - v. Which is the second smallest value? (a) i (b) 1\/3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -71 - -70. Let i = 14 - j. What is the remainder when 55 is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 29\/5 of a week?\nAnswer: 58464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-94*n**3 - 36*n**3 - 40*n**3)*(16*n + 0*n - 9*n - 4*n).\nAnswer: -510*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3*y. Suppose -7*x + 6*x - 400 = y. Let r be x*(-28 + 3)*-113. Round r to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 3*c + 1. Let y be d(4). Suppose 3*s + 16 = -2*g + 7*s, -2*s = -10. Solve -a + 2 = i + 2*a, i - y*a - g = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 3*p**2 - 900*p + 67500 = 0.\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*p - 7*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/16 of a milligram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 315 and 7.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-5))\/((-12)\/20). Suppose -b*h - 5 = -17. Solve -q - q = h for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (8 - (10 + 0 + -5))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7222 or 7223?\nAnswer: 7222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2\/13)\/(z*z**(3\/8)*z) assuming z is positive.\nAnswer: z**(-263\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/4 + (-131)\/(-4). Let g be (-3)\/(-9) - i\/6. Let u be 3\/g - (-39576)\/(-40). Round u to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 13 - 4*m - 1 + 5*m**2 + 13*m - 6*m**2. Let z be h(10). Find n such that -8\/3*n + 2\/3*n**4 + 2\/3 + 4*n**z - 8\/3*n**3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 24621, 24692, 24819, 25008, 25265, 25596?\n\"Answer: q**3 + 22*q**2 - 2*q + 24600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.006 rounded to 1 dp?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -158, -0.194, 7291?\nAnswer: -0.194","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 318\/(-102) + 3 + (-2 - (-2008)\/884)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -328*a + 147 = -321*a. Calculate the lowest common multiple of a and 456.\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 196 + 84. What are the prime factors of q?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (36*s - 30*s - 1 - 5*s - 917*s**2)*(21 - 21 - 9*s) to the form r + t*s**3 + u*s + h*s**2 and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10011010 + 1?\nAnswer: 10011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 279a (base 13) to base 14.\nAnswer: 2116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/9 - (-1598)\/18. Suppose -3*u + 43 = -r. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/(-10) - (-6)\/10. Let s be 700\/(-6) - (-2)\/f. Let x = 257 + s. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-371)\/(-41) + 298\/(-6109)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 47235404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + 52. Suppose b + 54 = 2*n + 3*b, -2*n + g = b. Let f(v) = v**3 + 3*v**2 - 55*v - 1. Calculate the smallest common multiple of f(-9) and n.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/16 and 89\/440.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24 - (-87238 + -17) - 33\/3.\nAnswer: 2, 21817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o + 67. Give n(-30).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 4056?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -13. Suppose -u = u + 2*t, 3*u = 2*t. Suppose -2*a - 4*f + q = u, -3*a + f - 2 = -0*f. Solve a = 4*z - 9*z - 15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 724280, 1448562, 2172844?\nAnswer: 2897126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -171, -166, -161?\n\"Answer: 5*x - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/48 and -83\/132.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -552\/10493 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + a = -5, 3*a = b - 9 + 2. Suppose 2*o + 2 - b = 0. Let w = -1439\/10 - -144. Is w greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 5*x - 4. Let g be c(-6). Suppose -41 = -2*u - 5. Calculate the highest common divisor of u and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 54\/8*(-12)\/(-10) and 23\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4946?\nAnswer: 2, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-15580)\/(-228) + -68 - 17\/24)?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 140 + -24. Suppose j - 96 = 2*x. Let m = -2 - -7. Calculate the greatest common divisor of m and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17277107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -2*v + 9*v. Does 6 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -5*f + 20. Let y be (-2)\/f + 2\/(-7). Suppose 0*x = x. Solve 2*b = x, 2*o + y*o - 6 = 2*b for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256171761 is divided by 32394.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -7*u**4\/4 - 8*u - 7. Differentiate z(t) wrt t.\nAnswer: -21*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 - 1147*m - 67 + 1158*m + 280.\nAnswer: 2*m**2 + 11*m + 213","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - j = -5*j + 22000000, 0 = 4*w - 5*j - 17600000. Round w to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*10)\/(72\/12).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 e when two letters picked without replacement from kkktcte?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 - -58. Suppose -u = -3, -b + 5*u + 193 - a = 0. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -379918, -759833, -1139748?\n\"Answer: -379915*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -8*o + 13*o - 21110, 0 = 5*v + 25. Is o a multiple of 211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 15. Let j = 2 + l. What is the nearest to 0 in j, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2939 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is eight sevenths of a week in days?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in one fifth of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 71\/(-4) - (-10)\/(-40). Let a be ((-14)\/114)\/(b\/(-2481)). Let k = 272\/19 + a. Find the common denominator of 31\/4 and k.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.4, 0.51, 3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -66051562\/167031 - -9\/18559. Let r = -396 - y. Let o = -10 + 8. Which is smaller: o or r?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 419893*y**3 + 2*y**2 - 419973*y**3 - 2*y**2.\nAnswer: -80*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 4*r = -3*g + 16329, -4*r + 16327 = 3*g. What are the prime factors of g?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -3*j + 44, -3*j - 8 = -2. Suppose 0 = 2*p - h. Suppose 2*c + 60 = p*c. What is the highest common factor of c and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6042\/86640 - (-3 - 366\/(-120)). Suppose -5 = 3*q - o, 4*q + o = -4 + 9. Which is smaller: k or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.56651ug in nanograms?\nAnswer: 18566.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a decade in months?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38261*z**4 - 58784*z**2 wrt z?\nAnswer: 918264*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**5 + 14192*v**2 + 28*v**3 - 7080*v**2 - 7096*v**2 - v**4 - 192*v = 0.\nAnswer: -4, 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 31*j - 48. Calculate the lowest common multiple of 18 and g(28).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*g**2 - 6*g**2 + 22*g**2 + 39*g**2 as n*g + b + f*g**2 and give f.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 190 - 44)*(14 - 6 + 5*d - 7).\nAnswer: 755*d + 151","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.071 - 11.929. Which is the closest to -1? (a) w (b) -5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -4*r - 2*r. Let l(d) = 6*d**2 + 6*d - 2 - 12*d**2 + 5*d**2. Calculate l(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - (-1 - 6)) + (2 - -52) + -6.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -319*q**2 - 321*q**2 - 377*q**2 + 762*q**2.\nAnswer: -255*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 161391173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 33, 465, 1145, 2067, 3225, 4613?\n\"Answer: -x**3 + 130*x**2 + 49*x - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p + 15. Let z be h(0). Let t(f) = 1 + 14*f - z*f - 3. What is t(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 96*n - 13436. Let q be h(140). Solve -2*m - 2 = 4*v, -m - 15 = q*v - 18 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100110111100001110011000 - -1?\nAnswer: 100110111100001110011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1.3199 - -989144340\nAnswer: 989144341.3199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 2) + -41 + 32 - -11.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1365 is divided by 672.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + m + 12 = 0. What are the prime factors of 6\/9 - (-56)\/m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1632426929 to the power of 1\/2, to the nearest integer?\nAnswer: 40403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 11. Let r be k\/(-4) - 2\/(-8). Which is smaller: -0.07 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12.754 - -0.154. What is w rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.1, 5, -4, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/22 + -16*377\/(-10208). Let w(p) be the second derivative of p + p**3 + 0 - 1\/12*p**4 + g*p**2. Give w(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f**2 + f + 5. Give m(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i*m**3*t**2 + 27*i*m**3*t + 9*i*m**2*t**3 + 69*i - 3396*m**3*t**3 + 5*m**3*t**2 + 21*m*t**3 + t**2 wrt t?\nAnswer: 54*i*m**2 - 20376*m**3 + 126*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 754 - 767 - (-3 - -38 - (1 + 2)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 108920840 at most as big as 326762518\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/20 - 0)*-1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -36 and -4?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 150616 and 88?\nAnswer: 1656776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h**2 - 177*h - 2. Let f(s) = 7*s**2 + 446*s + 3. Let y(t) = -2*f(t) - 5*p(t). Let x be -1 + 1 + 7\/1. Give y(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of 4*h**3\/3 - h**2 - 4*h - 1. Let q be x(3). Let v = -18 + q. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -z**4\/24 + 133*z**3\/18 + 1803. Suppose t(y) = 0. What is y?\nAnswer: 0, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -5.3 (c) 4 (d) -4104\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/9 + 23755*w\/3.\nAnswer: -w*(w - 71265)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 992 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-seven fifths of a centimeter?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 10 = -7*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 144776941223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.94 - -5. Let i = 0.3 + -0.5. Let n = -23.523 - -23.823. Put l, n, i in increasing order.\nAnswer: i, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.86 - 2.5123177\nAnswer: -1.6523177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 1150?\nAnswer: -1144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((sqrt(1008) - (sqrt(1008) - (-2 + sqrt(1008) + sqrt(1008)))) + sqrt(1008))**2 + -3 + 3*(0 + sqrt(1008)) - (-3 + sqrt(1008) + 1)*1).\nAnswer: -120*sqrt(7) + 9072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 65, -1, -2?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 39 = 51. Let p be (-3 - 21\/(-9))*z. Put 3, p, -5 in descending order.\nAnswer: 3, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t. Let g = -31 - -18. Let f = 17 + g. Suppose 7*u - 3*u - 5*v + 9 = 0, 2*u + f*v - 28 = 0. Give z(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5*y - 65 + 37 + 119. Let b be h(-7). Calculate the greatest common divisor of b and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 5*p + 34 = 9, -12 = -3*d - 3*p for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 226 and 2599.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 207344?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5282250 by 105645.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 13\/6 + (-44)\/(-24) + -2. Let i(m) be the first derivative of -5\/2*m**q - 6*m - 6. Differentiate i(z) with respect to z.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 68.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6966871 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25414023?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**25*j**(-47)\/j)\/(j**(1\/7)\/j*j)**0 assuming j is positive.\nAnswer: j**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 10, t: 10}. What is prob of picking 4 t?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-2) - 1)\/(3\/6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 5. Let y(b) = 5*b - 1. Let i be y(1). Suppose 8 = -n*d + i*d. Solve -5*q - 3*j + 0 = -26, -j = -d for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qpj when three letters picked without replacement from pqqpqjpqqjjjqjp?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 14*q - 23. Let l be (-142)\/(-142)*(-17 - 0). Let c(a) = -5*a + 8. Determine l*c(m) - 6*f(m).\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 483506 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 5*r - 5. Let i = 53 + -31. Let w = 23 - i. Let n be w\/(-3)*(-135)\/9. Determine p(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-1)*(-8 + 1). Suppose 3*y - 49 = w. Suppose 16*s = y*s - 5. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k + 10*k + 2*k + 13*k.\nAnswer: 31*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7940 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w. Let x(r) be the third derivative of -r**7\/5040 + r**5\/10 - 8*r**2. Let y(c) be the third derivative of x(c). Calculate y(t(s)).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 584 - 461 = 0. Calculate the highest common factor of 41 and q.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 5:32 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 1\/3 (c) -3\/4 (d) 2\/7 (e) -2\/15 (f) 1\/30 (g) -0.0156\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 4803664?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38c (base 14) to base 3.\nAnswer: 222101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*n**3 + n**3 + 4*n**3)*(2*n - 1 + 1) + (-1 - 5 + 4)*(-4*n**4 - 10*n**4 + 2*n**4) to the form q*n**3 + y*n**4 + x*n**2 + d + m*n and give y.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2168015.9 rounded to the nearest 10000?\nAnswer: -2170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a*g*t*v**2 + 33*a*g*v**4 + a*g*v**2 - a*g - 3*a*t*v**3 - 3*g*t*v - 2*g*t - g*v**5 wrt v.\nAnswer: 792*a*g*v - 18*a*t - 60*g*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 16*s - 17*s, 5*p = 2*s + 26. Solve p*q + 9 = 15 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 7.6426118.\nAnswer: -2.29278354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**3 - 4*z**2 - 21. Let i be f(-4). What is the highest common factor of i and 602?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q + 1. Suppose -2*b + 6 = -3*b. Let p(f) = f - 7. Let t(w) = b*n(w) - p(w). Give t(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/12 + (-2)\/(-3). Find the first derivative of 0 - 3*x + 4*x - g + 0*x wrt x.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 933329535 a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 2:41 AM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -24226.7364 to the nearest 10.\nAnswer: -24230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -17\/83972 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 11*i**2 - i - 86. Calculate the least common multiple of 49 and q(8).\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqrqqr. What is prob of sequence qqrr?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from hkzzhzhlzz.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, b: 1, t: 1, y: 1, e: 1}. What is prob of picking 1 l and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39 + -33. Let z = v - -302. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 2)*(-2 - 7 + 3)*(-36*g - 31*g + 135*g).\nAnswer: -1632*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*a + 487*a - 685*a + 4576 = 819*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 40 = -5*g, -19*g + p + 10 = -53*g + 37*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -608309 + 1623509. Suppose -5*t - 22*t = -g. Round t to the nearest 1000.\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -3*k + 21, -64*k = -62*k - 3*a - 4 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 450.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -2*t**3 - 117*t**2\/2 - 68*t. Let u be m(-23). Calculate the highest common divisor of u and 106.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 5. Let d be 37 + 2 + (-1)\/k. What is the highest common factor of 16 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -260*z**3 - 266*z**3 + 5 + 533*z**3 - 107*z**2 - z**4 + 19*z**2 - 3 as g*z**2 + r*z + c + p*z**3 + b*z**4 and give g.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 2*s - 3*s + 150 = 215, 13*r + 5*s = -115 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 4593 + -4633. Which is smaller: -619\/15 or s?\nAnswer: -619\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 - 44 - 8*b**2 + b**2.\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 187 + -68. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 259414, 518920, 778428, 1037938, 1297450, 1556964?\nAnswer: 1816480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2124512 (base 6) to base 13.\nAnswer: 38894","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -6. Let m = -288 + 301. Let d(a) = a**3 - 13*a**2 - 2*a + 23. Let j be d(m). Sort 4, w, j, -4 in decreasing order.\nAnswer: 4, j, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74325621385 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2750)\/3300)\/((-100)\/(-16)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + u + 4. Let k be z(4). Let c be (-1)\/4 + (-202)\/k. Suppose -13 - 17 = -3*a. Calculate the greatest common divisor of a and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 0*l = 0. Suppose 12*t**2 - 4*t**2 + l*t - 6*t**3 - 2*t = 0. Calculate t.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261301815 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7382578501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21158 and 426.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6798453 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*p = 2*y - 30, -4*y + 4*p = -44. Differentiate 10*f**3 + 12 + 2*f**3 + 4 - y wrt f.\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -90 - -138. Suppose 2950 = 113*s + 238. Calculate the greatest common factor of k and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 10*x**2 - 11*x + 26. Let t be k(5). Let g = -94 + t. Calculate the greatest common factor of 14 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - -54. Let x(k) = -3*k**2 + 3*k + 3. Let i be x(4). Calculate the remainder when w is divided by i*3*(-2)\/9.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 7*d**2 + 5*d + 8. Let c(w) = w + 8. Calculate the least common multiple of b(6) and c(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -53 in 0.4, 3\/4, 2\/15, 127, 3\/5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2030\/4*(14\/4 + (-351)\/130). Calculate the highest common factor of 231 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 35 = -5*f, -4*f + n - 1 = -18 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 2 = -3. What is the closest to j in -0.4, -5, 12?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155335143 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 317*m + 1583. Calculate v(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/36)\/(8\/6).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 582 - 388. Let m be (-5)\/(-1) + (7 - 2). What is the greatest common divisor of m and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27043410.64 rounded to the nearest 100000?\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 3*k**2 + 6*k - 6. Let s be -1*(5 - (-1 + 0)). Let u be f(s). Suppose u = 4*i - 198. Is i a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 8:50 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -678 and 49.4509.\nAnswer: -33527.7102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5654315 and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 - (-50 + 160) - (-18 + 2).\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -191040 and -0.1.\nAnswer: 19104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.33 and 317.3326.\nAnswer: 104.719758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by 25.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/13))**(29\/4))**(-38)*((s*s**(2\/9))\/((s**(-1\/4)*s*s)\/s))\/((s\/s**(2\/3)*s)\/s)**(13\/5) assuming s is positive.\nAnswer: s**(-100103\/2340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*g - 52*g = -16. Solve g*s - 24 + 4 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 6:29 PM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 187 - 249. Let q = l - -57. Let w be (-14)\/63 - (-5)\/9. What is the closest to w in 2\/11, -4, q?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -30\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17405 is divided by 37?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 156 and 204.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1704967 and 1058.\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 83973.59 weeks?\nAnswer: 50787227232000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (55\/((-7425)\/(-324)))\/((-6)\/40)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -62 + 66. Let c(d) = -1 + 4*d + 10*d - y - 22*d. What is the remainder when 20 is divided by c(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39022?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 - -14. Let o = -9 - l. Let p = o - 8.00069. Round p to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1255258043 to the nearest integer?\nAnswer: 1079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 7:07 AM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-9)*y)\/(y\/(y*y**(-1\/3))*y))**(-7) assuming y is positive.\nAnswer: y**(196\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 3)*(944*k - 2*k**5 + k**5 - 951*k).\nAnswer: 4*k**5 + 28*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.11 + -3.89. Let h be (11\/33)\/(64\/(-48)). Which is the second biggest value? (a) h (b) p (c) 0 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.15832 to three dps.\nAnswer: -1.158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 14304.78.\nAnswer: -7152.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1536515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1508957.\nAnswer: 29, 61, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -6*d**2 + 150*d - 479. Determine p(21).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -1 + -2 + -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -541 (base 9) to base 13.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1778776 to the power of 1\/2, to the nearest integer?\nAnswer: 1334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-6) - 672\/126. What is the remainder when 29 is divided by n\/(-4) - 3*(-104)\/48?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 n, and 2 l when four letters picked without replacement from dlqqlln?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 13\/8, -5, 0, -114, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.011 times 69\nAnswer: -0.759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -0*q + 4*q - 12, -6 = -3*i - 3*q. Suppose -3*z + 9 = -0. Solve z + 0 = -5*k - 2*y, -11 = 5*k + i*y for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in years?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3 + 0)*(-1 - 2*c + 1)*(-37 + 367 - 84) to the form a + w*c and give w.\nAnswer: -492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n - 3. Let j be o(-3). Suppose j*c = 3 - 21. What are the prime factors of (12\/9)\/((-1)\/c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1000) - sqrt(1000)*1 - sqrt(1000) - 5*sqrt(160))\/((sqrt(960) + sqrt(960) + -1*sqrt(960))\/sqrt(3)).\nAnswer: -15*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2)\/p*p**(-2\/17)*(p*p**(-4\/11))\/p*p**9\/p)**(-34) assuming p is positive.\nAnswer: p**(-1690\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9 and 2328372?\nAnswer: -20955348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/7*35\/10*1. Suppose -17*f - 2*b + 352 = -12*f, o*f + b = 281. Is f a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*z + 19*z = -296. Calculate the greatest common divisor of 74 and z.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -17*u**3 + 5*u**2 + 5*u + 27. Let l(h) = -24*h**3 + 8*h**2 + 8*h + 40. Let d(n) = -5*l(n) + 7*p(n). Suppose -8 - 2 = -w. Is d(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9998*w**2 - 8*w**3 + 9997*w**2 - 19995*w**2.\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*((g**2\/g*g*g)\/g)\/g)\/((g*g\/(g\/((g*g\/(g**(-16)\/g))\/g)))\/g)*g*g**(-12)*g\/(g*g*(g**9*g)\/g))**(-1\/17) assuming g is positive.\nAnswer: g**(37\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21\/4 + 5. Let x = -15 + -59. Let s = x + 74.7. Does s = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -476 + 480.76. Let j = a - 5.16. What is the closest to 0 in 5, 0.1, j, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2339340?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 4*i**2 - 6*i + 12. Determine d(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 6*f - 4. Calculate g(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2692237.\nAnswer: 2692237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 38*o + 6. Calculate c(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -14*w**2 - 1\/60*w**5 - 1\/6*w**3 - 1\/3*w**4 + 0*w + 0. What is c(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -153212 (base 8) in base 13?\nAnswer: -1bcca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 1:01 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21.13122 - -17.86825. Let j = 93 + -132. Let c = j + g. What is c rounded to five decimal places?\nAnswer: -0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4690?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2370 + -2406.01. Let r = -0.91 + -35.09. Let s = p - r. Is 0.1 at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 499212.7709 rounded to the nearest 1000?\nAnswer: 499000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of s**3\/2 - 7*s**2\/2 - 84*s. Give u(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from mmtm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -118.9 to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3637871 (base 9) in base 2?\nAnswer: -111100001111101100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*w + 30*w - 73 = 9*r, -33 = w + 4*r for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1574?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m + 4. Let z(l) = l - 6. What is -7*b(d) - 5*z(d)?\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 115, 131, 37, -221, -697, -1445?\nAnswer: -2519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2506500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.422121 to 3 decimal places.\nAnswer: 0.422","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1150 = 13*r + 1762. Let f = -240 - r. Which is bigger: -31 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*o = 0. Let w = o + 0. Suppose w = 3*v + 6 - 24. Solve 5*y + u - v = 0, 1 - 2 = -u for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -3) + (-108 - -109).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 84255449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 154 divided by 22\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**3\/7 - 25*n**2\/7 + 971*n\/7 - 944\/7 = 0 for n.\nAnswer: -59\/2, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -132493.749 to the nearest ten.\nAnswer: -132490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 14*f - 12. Let k be l(-9). Calculate the highest common factor of k and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 489780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 265*p - 3227. What is n(12)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/5 of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from knnunfkn. Give prob of picking 3 n and 1 f.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14\/11 + -31\/33. Let g = -8 + 5. Let o = 68 + -68. Which is the second smallest value? (a) o (b) g (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -0*p. Suppose p = -t + 5*t - 5*y + 189, y + 3 = 0. What is the remainder when t*(-2 - (-10)\/6) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w = -14*w - 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away 43770?\nAnswer: -43770.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m = 66260 + 84310. What are the prime factors of m?\nAnswer: 2, 3, 7, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8570*j + 213615 = -87159 - 67736 for j.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28.09 * 0.4.\nAnswer: -11.236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (7 + -4)) + (7 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in sixty-nine halves of a meter?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 479955731.\nAnswer: 79, 6075389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -109, -110, -121, -148, -197?\n\"Answer: -w**3 + w**2 + 3*w - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 512 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -22213, -42240, -62267?\n\"Answer: -20027*u - 2186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1062 divided by 2?\nAnswer: -531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + (7 - -4) + -6. What is the highest common divisor of f and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (y**2 - 4*y + 4*y)*(-3 - 11 + 7) - 2*y + 2*y**2 - y**2 + 9*y as z*y + a*y**2 + u and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*g - 104 = -176 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 5. Let o be 2\/4 - u\/(-2). Let i = 8 - o. What is the least common multiple of 4 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 42923 and -23.6.\nAnswer: -1012982.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 15*(-15)\/(-36))\/(1075\/67940)\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gt when two letters picked without replacement from {g: 1, t: 6, k: 11}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hna when three letters picked without replacement from anhhhhhhh.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -4*k**3\/3 + 5*k**2 - 5*k + 24. Let h be w(7). Let s be (h - (-16)\/(-4))\/(2\/(-80)). Round s to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, k: 1, r: 1}. What is prob of sequence cckc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1043664?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1615 to the nearest ten.\nAnswer: -1620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5137, 5613, 6191, 6859, 7605, 8417, 9283, 10191?\nAnswer: 11129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s**3 + 425*s**2 - 12128*s - 372. Give n(34).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -24*a**3 + 27*a**2 - 20*a - 20. Suppose -59*h + 55*h = -72. Let d be z(h). Round d to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 103*g - 1367. Calculate the remainder when p(14) is divided by (10\/(-6))\/(1\/(-12)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13 and -0.94?\nAnswer: -12.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 + (-1 - -3) + 15. Let s = 30 + -3. Suppose -8 = b*y - s*y. Is y greater than 10\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(3\/7)*j**(-2\/7))\/((j**3\/j*j)\/(j\/j**3)) assuming j is positive.\nAnswer: j**(-34\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3323 is divided by 975.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 11*l**3\/3 + l - 2. Let u(t) be the first derivative of -16*t**3\/3 - t - 36. What is 7*c(s) + 5*u(s)?\nAnswer: -3*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/35)\/((-28)\/(-30)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 1055*a - 11637. What is w(11)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/((-26)\/(-16))*(-16)\/32?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**4 - 552*u**3 - 177584*u**2 + 70037760*u + 16098534400 = 0. Calculate u.\nAnswer: -244, 520","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 52 = -0*x - 4*n, -5*x - 65 = -5*n for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 5*o = -19, d - 14 = -o - 13 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k + 238*k + 3960 = 164*k for k.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 240 + 251 + 218 + 441*u - 694 to g + f*u and give g.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13680?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -n**4\/4 - 7*n**3\/3 - 5*n**2\/2 - 17*n + 1936. Let g = -1 - 6. Let r be s(g). Solve -2 - r = 5*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a**3 + 52*a**2 + 18*a + 21. Let l be q(-17). Find r such that -2*r**3 + 0 - 2\/3*r + 2\/3*r**l + 2*r**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.67 (b) -0.06 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1094776*j**3 - 25448*j**2 + 27*j wrt j.\nAnswer: -6568656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287 is divided by 164\/16 + 0 - 27\/(-36).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -12604805, -12604819, -12604833, -12604847, -12604861, -12604875?\n\"Answer: -14*i - 12604791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2*sqrt(76)\/sqrt(36) - -3*sqrt(931)*2)**2.\nAnswer: 622592\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -2798\nAnswer: 2\/1399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 401695355 to the nearest integer?\nAnswer: 20042","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -196 (base 12) to base 16.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-32)\/(-24))*4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/84)\/(-1 + 80\/75). Which is smaller: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 1545*r + 12450. Calculate the lowest common multiple of 116 and k(-8).\nAnswer: 5220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/54*-4 - (-8)\/(-36). Suppose 0 = -2*b - 2*h + 90, z*b + 2*h + 192 = 4*b. Calculate the remainder when b is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 - (6 - (3 + 5)). Solve z*o - 6*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -8*a + 19. Solve b - 17 = 5*x, a*x + 7 = -2*b + b for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17\/12 - 7\/4. Let d = -262.7 + 263. Let z = 1.2 - 6.2. Which is the second biggest value? (a) z (b) d (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/(-552) - (3\/23 + 0)\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 4*l + 15, 5*l = -5*c - 0*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of x**5\/12 - x**3 + 6*x**2. Let c(u) = -4*u**2 + 5. Suppose 2*l + 13 = 3. Calculate l*k(v) - 6*c(v).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*z + 426 = 5*c, 0 = 4*z - 12. What is the greatest common factor of 140 and c?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -837.40692 - -837.6. Round j to 3 decimal places.\nAnswer: 0.193","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -468146?\nAnswer: -3\/234073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1421\/(-11) + 4\/22)*(-5338)\/(-16014)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0877 + -0.9123. Let t = 0.3 - 0.6. Let k = -495 + 991\/2. Which is the closest to m? (a) 0.1 (b) t (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, x: 2, a: 2, c: 2, r: 1}. Give prob of sequence ci.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/(-7))\/((-929)\/6503))\/((-1)\/23).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -491*a - 389*a = 34320 for a.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.5 * -313075.\nAnswer: 782687.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 5\/3 (b) -1\/6 (c) -1 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f + 10. Let x be a(4). Let i be (-2)\/x*(-8 - -8). Suppose 4*k - 6*k = i. Solve -3*g + 14 - 2 = k for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.004281*-8\nAnswer: -0.034248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 0, 233, -5, -2, 1 in descending order.\nAnswer: 233, 1, 0, -2, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a kilometer in meters?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16 - -11) + -6 - -7) + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3066 (base 9) in base 2?\nAnswer: 100011000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4*m + 6, -2*q - 3*m - 23 = -4*q. Let t = -7 + q. Suppose c = -d + t*d + 497, 3*c - d = 1491. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 44 + 1*(-4 + 3). Suppose -3*t + 6 = 0, -3*r + 200 = -3*t - p. Suppose -12 = -5*v + r. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2830959, 2830963, 2830967, 2830971, 2830975, 2830979?\nAnswer: 2830983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 10*s**2 + 50*s + 130. Does 20 divide h(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.9*-678359\nAnswer: -5359036.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -5*z**2 + 25*z + 19. Let x be q(13). Let g = x + 505. Which is the closest to 1? (a) 5 (b) -4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 3. Let a be (-8)\/n - (-6)\/18. Suppose -a*t - 190 = -t. What is t rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 4, 31 in increasing order.\nAnswer: -2, 4, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -348191 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1543606 (base 8) to base 13.\nAnswer: -1272c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t\/(t*t*t\/(t*t\/(t\/t**(2\/15))*t*t))))\/(t*t\/t**(-8)))**(-30\/11)*(t**2\/t**(-4))**(-1\/3) assuming t is positive.\nAnswer: t**(252\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(99) + 0)**2*1)*3 - (2*-6*(4 + 1 + sqrt(99)))**2) + 5.\nAnswer: -17542 - 4320*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8225, 16450, 24677, 32906, 41137?\nAnswer: 49370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -b**6\/75 + 17*b**5\/50 + 37*b**4\/30 + 19*b**3\/15 - 183*b. Suppose h(v) = 0. What is v?\nAnswer: -1, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -27\/2. Let m = -66 + 65.8. Which is the closest to i? (a) -1\/4 (b) -3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/10 + (-3)\/(-15) + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 28702 - 28702 + 272*c - 88*c as u*c + i and give u.\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -226*d**2 - 2*d + 61. Let w(a) = -454*a**2 - 3*a + 124. Let p(l) = 5*j(l) - 3*w(l). What is the second derivative of p(k) wrt k?\nAnswer: 464","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2. Let w be b(2). Solve 4*u - w*j + 8 = 0, -13 = 4*u + j - 0*j for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1683271*x**2 - 841633*x**2 + 45 - 841632*x**2 - 45.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 6*x - 3. Let j(w) = -5*w + 3. Let b be (2 - 2) + -8 + 3. Let d(r) = b*j(r) - 4*c(r). Let l be d(5). Solve 0 = 4*p - 3*i - 3, 1 = -l*i - 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*p**2 + 2*p - 3*p**3 - 20279 + 20276 - 2*p**4 + 4*p**3 to d*p**2 + a*p**3 + c + x*p + i*p**4 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/(-150)*(13\/((-156)\/(-6)))\/(29\/10)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 2 (c) -1 (d) 0.3 (e) 1.212\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.07, -8, 4, 1\/2, -5, -76\/3, 1339?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -31*k**2 + 5*k - 284 + 32*k**2 + 274. Calculate u(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -9*k - 9. Let l be a(-2). Let n(o) = 3*o**2 + 8*o + 8. Let z be n(-7). Calculate the greatest common divisor of z and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2749*v**4 - 9*v**2 - 13*v + 17. Let l(h) = -1374*h**4 + 4*h**2 + 5*h - 9. Let n(i) = -9*l(i) - 4*w(i). What is the second derivative of n(t) wrt t?\nAnswer: 16440*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/52554 and 85\/157662.\nAnswer: 157662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.029 + -37.971. Let t = -37.5 - o. What is t rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -8 - 9) + (-2 + -31 - 0).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8980925 rounded to the nearest one hundred thousand?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1738 - -1738. Let w = -1 - -0.9. Let h = w - -0.1. What is the nearest to q in h, -2, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6 or 388\/65?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 3:15 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -81959 times 122\nAnswer: -9998998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -89892 + 89892. Suppose 50 = 2*z + 20. Let a(v) = 3*v**2 + v - 1. Let y be a(1). Solve k*i - z = -y*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22919477 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Is (2*(-1)\/2)\/((-53)\/43407) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -0*q + 3*q. Let h be q*5*(4 - 5). Suppose -h*n - 324 - 285 = -2*u, 946 = 3*u - n. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3385 + 4427. Is 100 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 239370228 a multiple of 1320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9849.302 millennia in years?\nAnswer: 9849302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mfvfvfmmfmv. What is prob of picking 4 m?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c + 0*c + 3*c)*(2 - 6 + 3)*(24 + 2*c - 83 - c) to the form s + a*c**2 + m*c and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 717440 - 358720 - 6*m**2 - 358720 + 3*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/2)\/((-4)\/(-18)). Suppose 4*a + 1 = n. Let f = a + 4. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**2 - u**2 - u + 3*u + 3*u**2 - 5*u**2 + 4*u**2 + (-5 + 4 - 1)*(-2*u**2 + u - u) + 4*u**2 - 2*u**2 - 3*u**2.\nAnswer: 4*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/7*z - 2\/7*z**2 + 0.\nAnswer: -2*z*(z + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*2*(-315)\/210.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-1\/4))**(-39)*d**(-2\/5)\/(((d*d*d**(1\/2)*d*d)\/d)\/d))**(19\/4) assuming d is positive.\nAnswer: d**(-19627\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of p**3\/3 - 9*p**2\/2 - 14*p - 7. Let f be u(11). Let z = -6 + f. Calculate the remainder when 6 is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -6*b**2 - 28*b - 493. Let h(d) = -7*d**2 - 32*d - 491. What is -7*h(c) + 8*n(c)?\nAnswer: c**2 - 507","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -4*s + 317, 2*k - 46 = -52. What is the remainder when 1345 is divided by s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y**2 + y**2 + 2*y**2)*(4*y - 4*y + 2*y)*(-3 - 2*y + 3) - 19*y**4 - 12*y**4 + 8*y**4 in the form p*y**3 + v*y + c*y**4 + o*y**2 + k and give c.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1.4 times -1\nAnswer: -1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2716 divided by 14?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**3 + 20685*y**2 - 39061281*y + 11445092631 = 0 for y.\nAnswer: 357, 3269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 2497 - 637. What is the tens digit of ((-4)\/14 + d\/(-28))*-2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -33 + 12823*i**3 - 28 + 3*i - 7 - 12814*i**3 + i**2 as y + h*i + z*i**3 + s*i**2 and give y.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 312.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 10*t + 2. Let c(h) = 19*h + 4. Let w(y) = -3*c(y) + 5*i(y). Let k(z) = 15*z + 5. Calculate -2*k(l) - 5*w(l).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**3\/3 - 344*y**2 - 20368*y + 718240\/3.\nAnswer: -4*(y - 10)*(y + 134)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2082102943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g - 43 = -5*u, -25 + 8 = 3*g - 2*u for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 10*r**2 + r + 14. Let y be p(10). Suppose -3*g = -3*s + y, -3*g + 64 - 10 = 3*s. What are the prime factors of s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/2*(-2)\/(-42).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -40.9? (a) 0.06 (b) -323 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 150 and 32833470.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -114, -126, -148, -186, -246, -334, -456?\n\"Answer: -s**3 + s**2 - 8*s - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78485985?\nAnswer: 3, 5, 89, 19597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3\/1 - (1 + -25) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, c: 2, k: 7}. Give prob of picking 2 c.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 102 - 69. Suppose 3*c - 14 = -i, c + 26 = 5*i + 4. Solve o - 3 = -y - 0*o, 0 = 4*y - i*o + j for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - 0 - -2) + (9 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -679, -1359, -2039, -2719, -3399?\n\"Answer: -680*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20618*g**3 - 152*g**2 + 152*g**2.\nAnswer: 20618*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aasd when four letters picked without replacement from dodddsddadsad?\nAnswer: 4\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 126\/33 - (-12)\/66. Solve -4*p = -4*y + 3*y - 13, -16 = -o*p for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.83687632 + 4.\nAnswer: -1.83687632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*g = 171 - 291 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 3263 and 3266 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 152530 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 1.325028\nAnswer: 6.62514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 43*a**2 - 47*a - 139. Calculate the remainder when k(-42) is divided by 37\/1 - 0\/(-2).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1, 0.13, 0.042?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (18\/3)\/(12\/8). Suppose 4*x = u, -t - 2*x = -6*t + 138. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6426463 is divided by 249?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -30620 divided by 7655\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g + 33 = -6*g. Suppose -4*i - 433 = -z + 11, 0 = g*z - i - 1310. List the prime factors of z.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*b + 37908306 + 70085597 = 13966655. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7916 at least as big as 2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2 - 14. Let o(a) = 63*a + 10 - 6 + p*a + 10. Is o(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**2 - 2*m + 2. Let t be f(-4). Let u = -11 - t. Calculate the highest common factor of u and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2764256111 to the power of 1\/3, to the nearest integer?\nAnswer: 1403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000006799 rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.14 + 0.04. Is d greater than -1.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 10*x + 35. Let c(q) = -4*q**2 + q. What is c(z(t))?\nAnswer: -400*t**2 - 2790*t - 4865","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1580 times 6.993?\nAnswer: -11048.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 v when four letters picked without replacement from {z: 1, w: 2, v: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 12*c + 6. Let a be p(12). Suppose -5*u + a = -3*u. Solve u*m - 5 = 2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.46 + -3.54. What is the third smallest value in 4\/9, v, -2\/3?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*w + 26*w + 32 = 0. Suppose 33 = w*l - 115. Calculate the remainder when 103 is divided by l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1558*s**3 - 3*s + 7 - 5 + 3*s - 1473*s**3.\nAnswer: -3031*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24746 - -25004. Does 2 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus 0.6092?\nAnswer: -0.4092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from ieiiieiiieeieiieiiee?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1233312 + -240310?\nAnswer: -2024122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4935, -20396, -46467, -83148, -130439?\n\"Answer: -5305*d**2 + 454*d - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -5*z. Let r(k) be the third derivative of -15*k**2 + 0*k - 1\/30*k**5 + 0*k**4 + 0 + 0*k**3. Calculate r(y(p)).\nAnswer: -50*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 178*w + 177*w - 1 = 0, 0 = -4*i + w + 8 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 309625035?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1287 = -10*z - 813. Does 14 divide z\/(-14)*2\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v**(-43)*v)*v*v**(-2\/29) assuming v is positive.\nAnswer: v**(1274\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*8938379\nAnswer: -3575351.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-266)\/133*486\/(-12)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -2*y + 94. Solve 2*u + u + 4*x = y, -5*u + 8 = -3*x for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 180 and 3844035.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.468 or -1\/14519?\nAnswer: -1\/14519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-5)*(-5)\/(-1). Let t = 86 - 86. Suppose -6*s = 2*s - t*s. Solve 2*i - 3*m = -4*m - w, s = -3*m + 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 3, -4, 28, -5, 75 in increasing order.\nAnswer: -5, -4, -3, 0, 3, 28, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -625*d**2\/3 + 1387700*d\/3 - 770284516\/3 = 0.\nAnswer: 27754\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-19329)\/(-57) + ((-4)\/(-19))\/(-2). Suppose o*x - 330*x - 10980 = 0. Is 20 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -h**6\/6 - h**5\/4 + 19*h + 33. Let y(g) be the first derivative of x(g). Factor y(v).\nAnswer: -5*v**3*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101001102211112 (base 3) in base 7?\nAnswer: 63261305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4 + 0. What is the nearest to 1 in o, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-116))\/(231\/154)*-1*6.\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3989, -7983, -11977, -15971, -19965, -23959?\n\"Answer: -3994*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7 * -0.1330642\nAnswer: -0.9314494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, 1, -16\/2332069, 4\/5?\nAnswer: -16\/2332069","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of -10*g**3\/3 - 2*g + 52. Let j(t) = -20*t. Give j(s(n)).\nAnswer: 400*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 736 and 893.\nAnswer: 1629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 31 (c) -32\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1478?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 6*x**2 - 5*x + 8. Is d(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-15)\/10)\/(27\/(-36)). Suppose -2*i - 13 - 167 = -j*n, -5*n = 3*i - 434. What is the remainder when n is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18426 is divided by 2834.\nAnswer: 1422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of 34 - 2*s**3 - 2*s**2 - 1\/60*s**6 + 0*s + 7\/12*s**4 + 0*s**5. Find u such that n(u) = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/(-2))\/((-1062)\/708).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7682 + -23410\/3. Let n = f + 125. What is the common denominator of n and 103\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3\/2 + 66*u**2 - 577*u\/2 + 105.\nAnswer: -(u - 21)*(u - 5)*(5*u - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from saaarto. Give prob of sequence tra.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 158, 668, 1518, 2702, 4214?\nAnswer: 6048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001007 rounded to 5 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-33))\/(36\/99). Which is the second smallest value? (a) 11 (b) -2\/9 (c) v (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r - 2*r - r)*(-6*r + r + 3*r) - 209*r**2 + 102*r**2 + 102*r**2 to u*r + o*r**2 + d and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 4 - 12. Let a = n + 8. Let m = 583399\/350043 - -2\/116681. What is the closest to -1\/2 in -1\/5, a, m?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2000, 3974, 5944, 7910, 9872, 11830, 13784?\n\"Answer: -2*i**2 + 1980*i + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -v**4\/24 - v**3\/3 - 633*v**2. Let g(n) = -10*n - 163. Let y be g(-17). Give p(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + a + 0)*(-3 - 2*a**2 + 3) - 3*a**3 + 2*a**3 + 0*a**3 - 31*a**3 + 2*a + 16920 - 16880 - a to o*a + u*a**3 + y + g*a**2 and give y.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - i = 3*i. Suppose -b - 11 + 15 = i. Let x = 13 + -9. Are x and b nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15227 to the power of 1\/2, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 369 - 329. What is the least common multiple of 234 and l?\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -29, -28, -39, -68, -121?\n\"Answer: -r**3 + 8*r - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 3*d - 15, 5 = 3*u - 2*d - 7. Suppose -2*h = -u*x + 6*x, h + 4*x + 8 = 0. What is the least common multiple of 5 and h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1200 (base 3) to base 6\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + z - 2*n + 61 = 0, -5*n + 37 = 2*z. Solve -3*m - z - 1 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from ddddddddddodddd?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1295904 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and (-12)\/(-5) - (30\/(-25))\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45 - 43. Suppose 0 = -3*w + m + 8, 0 = -w + i*w + 4*m + 6. Solve -w*d - 4*x + 10 = 0, 2*d = 3*x - 0 + 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 19 + 35 = -2*r, -3*r + 4*s = 46 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1775695796 to the nearest integer?\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -27 - -1a2?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9621, -19216, -28773, -38292, -47773?\nAnswer: -57216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -16 - (-3 - -1 - -1). Find the common denominator of 63\/34 and (-168)\/k + (3\/6 - 2).\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9\/16 of a centimeter?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 5*d - 2. Let j be g(-6). Suppose -j*i - 11 = 5, -l + 6 = -i. Suppose -44 = -l*r - 2*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*a + 115 = 18*a + 22 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 3 = -5*n, -5*n + 8 = -s. Solve 5*o - 3 = s for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 8*h**2 + 17*h + 18. Let x be u(8). Suppose t + x - 6 = q, 0 = 3*q - 2*t - 446. Is q a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7 (b) -3\/5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 355.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12371*i + 132 = -12360*i for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yoyo. Give prob of picking 1 y and 1 o.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1689 and 19.\nAnswer: 32091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 4 - 6. Let l = 9 + -3. Calculate the least common multiple of h and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1722 + 1731. Solve 0 = 7*p + 30 - f for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 274 or 278?\nAnswer: 274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/14 - 450\/(-14). Let u be (-5)\/(-15) + z\/(-42). Let x = 0.067 + 0.133. Which is the fourth smallest value? (a) x (b) 0.5 (c) u (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2*a - 2*t - 11, -2*a + 2*t = 4. Let p(g) = -2*g**2 - 2*g + 2. Let z be p(a). Let o = z + 65. Is o a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*r - 121*r + 41 = -85 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (111069\/(-14))\/((-63)\/(-18) - 4). Calculate the greatest common divisor of 43 and l.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19189 and 6190.\nAnswer: 191890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -81, -330, -747, -1332?\n\"Answer: -84*i**2 + 3*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -20, -2*f - 4*c = -108 + 32. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -37*z + 2\/105*z**6 + 0*z**3 + 0*z**2 + 1\/14*z**5 + 0 + 1\/21*z**4. Factor p(a).\nAnswer: 2*a**2*(a + 2)*(2*a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of 2 + 0*l + 0*l**2 + 0*l**5 + 0*l**4 - 3*l**3 + 0*l**6 - 3\/7*l**7. Find the third derivative of s(x) wrt x.\nAnswer: -360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -53*j + 8. Suppose 4*a = -3*t - 11, a - 2 = 2*a. Does 18 divide g(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 8*f - 1. Let n(v) = -12*v**2. What is k(n(b))?\nAnswer: -96*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 8*y - 2. Suppose 17 - 2 = 5*m. Suppose 9 = 5*v + 4*f, f - 7 = -m*v - f. Calculate the remainder when u(2) is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1789*i**3\/2 - 39349*i**2\/4 - 43035*i\/4 - 27 = 0 for i.\nAnswer: -1, -9\/3578, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*b - 30*b - u + 14, 0 = b - 5*u - 10. Suppose 25 = 4*l - 0*d - 5*d, -3*d + 22 = b*l. Put -0.1, -0.11, -1, l in decreasing order.\nAnswer: l, -0.1, -0.11, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -4\/29?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(2) + 0 + sqrt(2)) + -1*sqrt(14)\/sqrt(7))**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from ccnccnccccccnccnnccc.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -8 - ((110 - -28) + -161)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 4 (b) 89\/10 (c) 1\/4 (d) -3 (e) -336\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -130, -243, -346, -433, -498, -535, -538, -501?\n\"Answer: r**3 - r**2 - 117*r - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 5 - 19) + 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**3 - 13*o**2 - 8*o + 8. Let a(d) = -3 + 42*d**3 - 41*d**3 + 191*d - 64*d - 58*d + 4*d**2 - 66*d. Calculate -8*a(x) - 3*g(x).\nAnswer: -2*x**3 + 7*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7886 - 7844. Solve 0 = -o*a + 256 + 80 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108363*n - 216723*n + 16*n**3 + 108360*n.\nAnswer: 16*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**3 + 0*a**3 + 2*a**3)*(2372*a + 6271*a - 2539*a).\nAnswer: 6104*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -11229.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1095\/2, 109, 2\/11, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 5*a + 3*k - 3905, 2*a - 1565 = k. Let r = a - 488. What are the prime factors of r?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4458 - 4386. Calculate the highest common divisor of 112 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -101, -197, -325, -485, -677, -901?\nAnswer: -1157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 1)*(5*a - 2*a - 4*a) - 462*a + 342*a + 1 + 751*a to the form k + x*a and give x.\nAnswer: 630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*m + 56 = 36*m for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 + -17. Let q(s) = -6*s**2 - 4*s + 2. Let t(a) = 17*a**2 + 11*a - 5. What is p*q(o) + 4*t(o)?\nAnswer: 2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + 3 + (1 - 3). What is the units digit of t*2\/3*6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2*l + 49, -6*l - 4*u = -l + 116. Let x be (l\/((-36)\/(-6)))\/(-2). Solve 0 = -o + 2*m + 6, 4*m + 14 = x for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31.8 + -30.556. What is g rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 7*f**2 + 5*f - 4. Let l(a) = 3*a. Let g be l(-2). Let n be i(g). List the prime factors of n*(1 - 2)*-6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10984?\nAnswer: 2, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -16 - 254*w**3 - 5*w + 6*w + 4*w + 9*w**2 + 129*w**3 + 126*w**3. Let v be p(-8). Solve -23 = v*q + 17 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 3 + (1 - 2 - 1)*(3 - 5 + 0))*(-l**3 + 2*l**3 + l**3).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mumruormm. Give prob of sequence ouur.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 6*o**3 - 2*o**2 - 16*o - 32. Calculate j(-2).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100 - 11201?\nAnswer: -12001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 4:38 AM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -135, 0.3, 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 996005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 13 = -33 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 11:15 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -c + 3*d, -2*d + 2 = 3*c + 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2455149*u + 409*u**2 - 2455154*u + 4910303*u.\nAnswer: 409*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4576398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3989 + -0.0349. What is w rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6999762 to the power of 1\/2, to the nearest integer?\nAnswer: 2646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.29 - 5.29. Suppose 108 = -7*f + 10. Let v be (-12)\/3 + (-54)\/f. Sort z, 2\/13, v.\nAnswer: z, v, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 2*b - 2 = 0, -b + 102 = -f + 101 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) -2 (b) -0.3 (c) 26\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 37195127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0028776832 to six dps.\nAnswer: 0.002878","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 5*a**3 - 2*a**2 - 3*a + 3. Let s be n(2). Let k be 10\/45 + s\/(-9). Let f = k + 5. Solve -f*v = -l - 8, -2*v - 3*l - 2 = -10 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1541 + -12035?\nAnswer: -10274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 8:27 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1364, -2, -5\/7?\nAnswer: 1364","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence srdr when four letters picked without replacement from {e: 4, r: 6, s: 5, d: 5}?\nAnswer: 25\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 times 0.254\nAnswer: 0.1524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 7, -3, -17?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-249)\/1020 + (-350)\/(-85) + -4 and 75\/28?\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.328 + -1766.672. Does 0 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13978?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 7*q + 144 = 17*q. Solve 29 = -q*c + 5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559439.2 rounded to the nearest one hundred?\nAnswer: 559400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 9177 = 4*m + 23133, 2*u - 4*m - 6970 = 0. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in -2, -4, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 9*x + 3. Does 23 divide p(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 4798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 33156431 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -172*o + 184*o + 12 = 0. Is 5 - (-895 - -8) - o a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/1)\/((-1)\/2). Let v = 3069.4 + -3069.2. What is the biggest value in b, 42, v?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 2533 = 31141. Let m = -997 - f. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(21) + sqrt(21))*2)\/sqrt(108).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208)\/sqrt(36) + -2 + (-5 + sqrt(4212)*2 - sqrt(4212))**2.\nAnswer: -538*sqrt(13)\/3 + 4235","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -168144, -168146, -168148, -168150?\n\"Answer: -2*h - 168142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 873752093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 7) + (2 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -290 - -290.0797. What is f rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 m, and 1 g when three letters picked without replacement from {g: 4, m: 1, f: 1, c: 4, z: 3}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 5 (b) -32 (c) -7\/6 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -341054 + 8.0316.\nAnswer: -341045.9684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 21 = -b - 1, 3*b = 4*f - 11. Suppose g = -b*g + 16. 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 f = 252 - 255. What is the third smallest value in f, -0.3, 11.3?\nAnswer: 11.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 17239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -184, -154, -96, -4, 128, 306, 536?\n\"Answer: r**3 + 8*r**2 - r - 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 187533?\nAnswer: 375066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 167108300 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -211 + 321331?\nAnswer: 321120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3877.021 + 3877. Which is the fourth smallest value? (a) 0 (b) 1\/5 (c) 9 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5207.4 times 0.0988\nAnswer: 514.49112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2242 (base 11) in base 4?\nAnswer: -232012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -7. Suppose w*y + 20 = 5*g, -2*y - g = 3*g - 16. Suppose 2*v = -2*v - 2*s + 208, -4*v - 3*s + 206 = y. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uezuc. What is prob of picking 1 e, 1 c, and 1 u?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 5*m = -5 + 21, -2*h = 4*m + 24 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -12730, -12725, -12678, -12589, -12458, -12285?\n\"Answer: 21*m**2 - 58*m - 12693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 less than 78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20209522*b**3 - 1071*b - 24291 wrt b?\nAnswer: -121257132*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 10:03 PM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g**2*g)\/g)\/g)**4)**(-23) assuming g is positive.\nAnswer: g**(-184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 4)\/((-7272)\/(-5292) + (-10)\/245)\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2, 4, 116.\nAnswer: -6, 2, 4, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 - 0 - (30 + -32).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 6*z**2 - 11*z - 10. Let c be q(-4). Let g(m) = 374*m**2 - 2 + 2 - 112*m**c. Let p(u) = -2*u. Calculate p(g(t)).\nAnswer: -524*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of 13*v**5\/30 - v**4\/24 - 2*v**3\/3 - 9*v**2. What is the second derivative of n(k) wrt k?\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.22 - -0.03. Let i = 0.01 - u. What is the smallest value in 5, i, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(2\/3)*d*d)\/d**(4\/3)*(((d*d*d**(-1))\/d)\/d)**(-5\/4) assuming d is positive.\nAnswer: d**(43\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 9*p + 29. Let j be 2\/8 - 1863\/108. Let i(y) = 3*y + 10. Let q(c) = j*i(c) + 6*g(c). What is q(6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 3:52 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 29776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + 220. Let b be s(0). Let d = 322 - b. Is d a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/4*(-6)\/(-3). Let m be d\/(-2)*(11 + -1). Suppose 0*r - 2*u = -r - 6, 5*u = -m*r - 75. What is r rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 + 8 = 4*u. Let g be 1 - (0 + -3)*1. Suppose 0 = g*p - 9*p + 10, -4*p + 26 = b. What is the highest common factor of b and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9895869.\nAnswer: 3, 1099541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 98, 143, 186, 227, 266, 303, 338?\n\"Answer: -l**2 + 48*l + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*42\/63)\/(-3)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41413\/47664 + -13\/993. Calculate the common denominator of -103\/22 and m.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmigqgifmqqmmgmqgggm. Give prob of sequence mmi.\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {a: 1, y: 1, b: 5, m: 2, d: 3, x: 1}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 971389850 and 250.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**4 + 30*h**3 + 44572*h**2 - 842838*h?\nAnswer: 12*h**2 + 180*h + 89144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, v: 1, a: 2, r: 1, e: 1, l: 1}. Give prob of sequence aa.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 5*k = 0. Suppose 5*f = -2*g - 412, 5*f = -k*g + g - 424. Let u be 0 - (2 + 165\/f). Which is the third smallest value? (a) u (b) 3\/5 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -2)\/3 - 22\/3. Let r = b + 10. What is the second derivative of -3 + 5*s**r + 26*s + 3 - 17*s wrt s?\nAnswer: 30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u - 6*u - u + 4*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/(-9)*-7*(-19)\/(1463\/(-99)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 514 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1*sqrt(76)*2)\/(sqrt(12)\/sqrt(3)*-5).\nAnswer: 6*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*u - 2 - 70 = 0, -u = 3*a - 44. What is the highest common divisor of 40 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (270\/(-75))\/9 + 372\/855.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0667797428 to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n\/n**(-7\/3)))**(-11)*(n**(2\/21)\/n)\/(n**(-28)*n))**(1\/58) assuming n is positive.\nAnswer: n**(428\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s - 5. Let v be m(0). Let g = -213 + 209. Let y be ((-2)\/g)\/(v\/(-70)). Solve 2*u - y - 1 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -17678, -17663, -17632, -17579, -17498, -17383?\n\"Answer: r**3 + 2*r**2 + 2*r - 17683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/((-228)\/9)*(-616)\/(-21)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 7*i - 8. Let w be z(-8). Suppose 2*x + 4 = -0*a + a, -10 = -5*a + 5*x. Let g(f) = a + 2 - f - 4. Determine g(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*t - 1419 = 32*t - 40*t for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1*-23)\/(3 - (-16)\/(-4)). Suppose 490 = -18*i + y*i. Calculate the remainder when i is divided by 27.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1571727 milliseconds in seconds?\nAnswer: 0.0001571727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 977854 = -35*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/(-40))\/((528\/(-60))\/11). Which is the closest to u? (a) 0.3 (b) -0.1 (c) 11 (d) 5\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-560)\/(-145)) - (-6)\/16?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-32)\/1520 - (-477)\/95. Solve 2*x - 13 = 9*s - 12*s, -3*s + f*x + 20 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 171 - 163. Let b = -5 + n. Let t be (-4)\/18 - 64\/(-45). What is the second smallest value in t, b, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -4*k - 8. Let r be z(-3). Let q(n) = -4*n + 4. Let o(g) = -1. Give r*o(d) + q(d).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1665443 (base 7) to base 3\nAnswer: -102221010202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 82244 and 3132.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - -10) + (-49 - -40). Solve -s = 68*r - 70*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-five halves of a microgram?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 32*h**2 + 27*h + 8. Let s(j) = 10*j**2 + 9*j + 3. Determine 3*o(b) - 8*s(b).\nAnswer: 16*b**2 + 9*b","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**2 - 5180*u**3 - 554*u**3 - 471*u**3 + 0 + 0 + 3.\nAnswer: -6205*u**3 - 4*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 14*n**2 + 5*n - 10. Let s be t(-16). Suppose -4*g = 54 - s. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -172248233 + 1.\nAnswer: -172248232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.189574 milligrams to tonnes.\nAnswer: 0.000000009189574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1676\/9 + -186. Put 94\/7, 4, -0.1, h in ascending order.\nAnswer: -0.1, h, 4, 94\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -148*j + 6. Let t(i) = i + 1. Let l(a) = -6*t(a) - u(a). Let o be l(2). Calculate the highest common divisor of o and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1738403.2590567 - -1738404.5. Let v = f - 1.241. What is v rounded to six decimal places?\nAnswer: -0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0068741+-24279342\nAnswer: -24279342.0068741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7382, -14741, -22064, -29333, -36530, -43637, -50636, -57509?\n\"Answer: 3*w**3 - 7380*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1\/d*d)\/d)\/(d**(2\/5)\/d)*(d\/d**(-1\/9))\/d**(-1\/5) assuming d is positive.\nAnswer: d**(86\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/(252\/(-152)) + (-2)\/9. Solve -1 - t = 5*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 8:16 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) 1\/3 (b) -4 (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 5647, -0.78?\nAnswer: -0.78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 6\/11, 2, -5\/4, 0.015?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 407819 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c + 22*c**4 + 0*c**3 - 3*c**4 + c**3 + 16*c**2 + 2 + 0*c - 5*c**2 to y*c**2 + h*c**3 + x*c**4 + d + b*c and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r + 21*m - 91 = 17*m, 40 = -r + 5*m for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 3)*(0*j**5 - j**5 + 3*j**5) + 2*j**5 + 0*j**5 - 3*j**5 - 2*j**5 - 19*j**4 - 9*j**3 + 0*j**4 - 3824*j**2 + 3825*j**2.\nAnswer: j**5 - 19*j**4 - 9*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1005083688 to the power of 1\/2, to the nearest integer?\nAnswer: 31703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -336273 divided by 24?\nAnswer: -112091\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/9)*c*(((c\/(c*c**(-8)\/c))\/c*c*c)\/c*c)\/c*(c**(-1\/2))**20 assuming c is positive.\nAnswer: c**(-2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2330936*s**2 + s - s - 2330934*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -900, -1902, -2904, -3906, -4908, -5910?\nAnswer: -6912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 9:21 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -30, -59, -8 in ascending order.\nAnswer: -59, -30, -12, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 146\/212049 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 9:34 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1782)*-3)\/((5*sqrt(44)\/sqrt(4) - sqrt(11)) + (sqrt(121) - sqrt(121)*2)\/sqrt(11)).\nAnswer: 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1600874 - 42.\nAnswer: 1600832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + i**2 + i + 4. Let a(z) be the first derivative of -z**3\/3 - z**2\/2 - z + 15. Give a(y) + w(y).\nAnswer: -y**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -26474 and 4985.\nAnswer: -131972890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25901552*u**3 + 51802543*u**3 - 25900989*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -8*q. Let c(n) = n. Let s(a) = 10*c(a) + g(a). Let k(z) be the first derivative of -z**2 + 1. Give s(k(t)).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4532\/16 + (-1)\/4. Suppose 4*c = 712 + 2840. Suppose -5*q - i = -c. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.049 + -0.011. Which is the closest to -0.2? (a) r (b) 4\/7 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -243174*l**5 + 2327*l + 4.\nAnswer: -4863480*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6923 and 291648.\nAnswer: 288439872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 97 + -81. Suppose -p*f = -10*f - 54. Suppose 5*r = f*r - 16. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5850\/179 + 3014953\/3759. Let p = 769 - g. What is the common denominator of -44\/27 and p?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 4*y**2 - 4697*y + 24549 = 0?\nAnswer: 21\/4, 1169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/8)\/(5\/150*-3). Which is the closest to -1? (a) 0.3 (b) -1\/5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137 = -33*f + 995. Suppose f*k - 2394 = 5*k. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 24662, -1 in increasing order.\nAnswer: -3, -1, 1, 24662","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -313 - -319. Suppose -56 = -8*z - 16. Sort i, z, -1.\nAnswer: -1, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40036.12 plus -2732.871?\nAnswer: 37303.249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (1 - (5 + 0)) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 373678308?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75584?\nAnswer: 2, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 o when two letters picked without replacement from fffofjhfhfjjhf?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w - 42 - 63 + 105. Let d(b) = 53*b**2. Calculate d(j(s)).\nAnswer: 212*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.52336 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 23026638 a multiple of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -5*v**3 - 12*v**2 + 10*v + 3. Let j(p) = -14*p**3 - 36*p**2 + 27*p + 9. Calculate -11*g(w) + 4*j(w).\nAnswer: -w**3 - 12*w**2 - 2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5*v + 904 = 0, 2*s + 2*v - 1552 = 256. Let z = 326 + s. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -17. Let q = -368812.6 - -368813. Which is the closest to -7\/9? (a) r (b) -5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v**3 - 5. Let o(d) = 3*d**3 + d**2 - 5. Give -2*b(p) + 3*o(p).\nAnswer: 3*p**3 + 3*p**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -193, -226, -277, -352, -457, -598, -781, -1012?\n\"Answer: -u**3 - 3*u**2 - 17*u - 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 + 24. Solve 5*l + 7 = -j*b, 0 = -b + l + 4 + 1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 849946\/147 + -5782. Let x = 3488\/735 - f. Factor 0 - 2\/5*s - x*s**2 - 72\/5*s**3.\nAnswer: -2*s*(6*s + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - 5) + (-95 - -122).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 3*d + 18 = 0, 2 = 4*k + d - 16. Let v(y) = -23*y**3 + 12*y**2 + 40*y + 29. Let m be v(-1). Solve 0 = 5*z - j + m, -k*j = -2*z - z - 11 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by (-4)\/((-2)\/2)*(-248)\/(-32)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*r**2 - r**2 - r**2)*(-45*r + 109*r - 4 - 60*r).\nAnswer: -40*r**3 + 40*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 0*z - z + 791 = 0, v + 5*z - 193 = 0. Let y be 6 - (v\/6 - 7). Is y smaller than -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1550683539?\nAnswer: 3, 1913, 90067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -81*5\nAnswer: -405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/(-12) + 3\/(-4). Let j = -9\/4 - u. Let s(v) = v + 7. Let g be s(-3). What is the nearest to g in 0.1, j, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 241143658 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/15 and 1\/468.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/17? (a) -2\/13 (b) -2\/11 (c) -3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 - -0.3. Let l = 1535 - 1535. Sort -1, l, -4, i.\nAnswer: -4, -1, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = -122*p + 98*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-46)*-4 - 1064\/(-82593)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 12:06 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j - 7. Let h be f(6). Let p(a) = -a - 3*a - 3*a + a**2 + a**3 - 4*a**2. Let w be p(h). Solve -4*t + t = -w for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 11:05 PM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 415154521 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.286 and -0.11768.\nAnswer: -0.03365648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 13*n - 10. Let o be d(-14). Solve 0 = -4*v + 2*w + 2, -o*w + 9*w - 6 = -v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of y**7\/21 + 3*y**4\/2 + 14*y + 19. Let w(l) be the first derivative of p(l). What is the third derivative of w(i) wrt i?\nAnswer: 120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -159567 and -156795 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242*v**3 - 1612*v**3 - 85*v**3 + 2*v**2.\nAnswer: -1455*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.044945 rounded to three dps?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (1 + 0)) + (-1696)\/954\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -1 - -12 - (11 + 29)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -5, -2\/7, -0.5, 10553?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 3*d + 5*w + 9, -4*w - 12 = 2*d. Let o(b) = 3 - b**3 - b**2 + 2*b**2 - 2*b**2 + b. Let k be o(d). Do 0 and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4*h**3 - 3*h**2 - 3*h - 1. Let k be p(-2). Let o be (-6)\/(-3) - (1 + -61). Let v = -58 + o. Solve -v*c = c - k for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 5*n**2 + 5*n. Let u(v) = -3*v + 1. Let b be u(2). Let l = -1 - b. Let d be a(l). What is the greatest common divisor of d and 396?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 5. Let g = 8 - c. Suppose -j + 36 = g*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 257, 1021, 2319, 4151, 6517, 9417, 12851?\n\"Answer: 267*n**2 - 37*n + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.156 + 0.319. What is u rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3733, -6665, -9597, -12529?\n\"Answer: -2932*r - 801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 9 + 0 = 4*i, j = 5*i - 12. Let s be 7 - 6\/i*-1. Let z = s - 5. Solve -7*l + 3*l - 5*x + z = 0, -24 = 5*l - x for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -543683082*v**6 + 17133*v**2 - 146*v wrt v?\nAnswer: -65241969840*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11.6 - 2.6. Let l = 10 - x. Let f = 10\/69 - -1\/46. What is the biggest value in l, -2, f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 190 = 110. Solve 4*x - 2*b = 2*b - 24, 3*b = 4*x + u for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7561.7 to the nearest 100.\nAnswer: 7600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 8*t + 6. Let k(r) = 7*r + r**3 - 2*r**2 + 5 + 2*r**2. Suppose -66 = -7*l - 4*l. Let z(w) = l*k(w) - 5*b(w). Find the second derivative of z(h) wrt h.\nAnswer: 36*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3*x + 39, 4*x + 0*m - 2*m = 54. Let t be (42\/12)\/((-2)\/(-8)). Calculate the remainder when (36\/t)\/((-2)\/(-56)) is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/130)\/((-322)\/3220)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4*g - 9. Let z(u) = 70*u + 1466. Let t be z(-21). What is c(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(2\/3)\/m*m*m*m)**(3\/4)*((m\/(m*(m\/m**(-7))\/m*m))\/m)**(3\/28) assuming m is positive.\nAnswer: m**(25\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2. Let s(a) = -a**3 - 25*a**2 - 1. Let p be s(-25). Let b(q) be the second derivative of q**3\/6 - q. Calculate p*w(d) + b(d).\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -255348*z + 2553495. Give x(10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 886 + 79 = -3*l, 0 = -2*l + 3*c + 518. Suppose 2*m = 701 - l. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i - i - 6*w = 3*i - i + 479 - 446, -2*w = 8 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-10 + 1635\/10)*2 is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235735838 is divided by 789?\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1956 - 63?\nAnswer: -19b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(4\/7)*w*w*w**(-12\/7)*w**(1\/12)\/(w\/(w*w*w**34)*w) assuming w is positive.\nAnswer: w**(2923\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -73\nAnswer: -7.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 59547905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 21 = 4*c - 4*y, c - 2*y - 12 = 0. Let j(u) = -u**3 + 6*u**2 + 2*u - 7. What is the remainder when j(5) is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 2*q = 0, -3*b - 6 = -2*b - 3*q. Let r be (-1)\/(-1) - 4 - b. Let z be (14\/4)\/((-3)\/r). Solve -4*h = -z*h + 2*g - 16, -5*h - 4*g - 12 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 14*i**2 - 22*i + 28. Let l be c(-12). Find s such that -40*s - 5*s**3 + l*s**4 - 122*s**2 + 13*s**2 + 59*s**2 + s**4 = 0.\nAnswer: -2, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3619886009?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/516 and -109\/10?\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 (base 10) in base 15?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 65984*f**4 + 883*f**2 + f - 17 wrt f?\nAnswer: 1583616*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 5*a**2 - a + 4. Let f(g) = -13*g**2 + 8*g - 127. Let u(o) = 11*o**2 - 6*o + 96. Let p(z) = 3*f(z) + 4*u(z). Give 2*m(j) - 3*p(j).\nAnswer: -5*j**2 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, r: 2, i: 11}. What is prob of sequence raaa?\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 179e - 106a?\nAnswer: 734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1292.\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s**2 - s + 46. Let l be r(-4). Solve 10*u - l*n = 9*u - 12, -n = -4*u - 13 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-4*(sqrt(77) - (sqrt(77) - (sqrt(77) - (sqrt(77) - sqrt(77)*-6*5)))))\/(((sqrt(297) - 2*sqrt(297)) + sqrt(33))\/(sqrt(9)\/sqrt(12))).\nAnswer: -60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(11) + 0 - (-1*sqrt(11) + 0).\nAnswer: -3 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*f**5 + f**4 - 2*f**2 - 5.\nAnswer: 360*f**2 + 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -145.15 times -912?\nAnswer: 132376.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/sqrt(10))\/sqrt(2) - (1*sqrt(7)*-5)**2.\nAnswer: -175 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-56)\/(-5))\/(14\/35). Let k(f) = -10*f - 16*f + 4 + 18*f**2 + y*f. Is 10 a factor of k(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -728 + 728.00001223. What is v rounded to six dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3*k = 5*k. Suppose 0 = x - k*x - 2. Solve x*d - 1 = -2*h + 3, -4*h - 7 = -d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -182838 at most -182779?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*k - 152 = -108. Sort k, -5, 5, 6.\nAnswer: -5, k, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 51109 to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 454131\/73840 - 3\/14768. What is the common denominator of t and 113\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2670367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(42\/(-24) + 2)*4. Solve 63\/5*r**3 - 12*r + 6\/5*r**o - 27\/5*r**4 + 24\/5 = 0 for r.\nAnswer: -1, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -355.27 and -3553.\nAnswer: -3908.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 225418 divided by 5.\nAnswer: 225418\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 78391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.345 and 143707.\nAnswer: -49578.915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x - 2*x**3 - 1 + 28*x**2 - x + 3 in the form t*x + n*x**2 + r*x**3 + m and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7064 and 4415?\nAnswer: 35320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*l - 3215700 = -48*l. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2566158 by -21.\nAnswer: 122198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14865 and 6825?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*355950.\nAnswer: -1779750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -147 + 146. Which is the smallest value? (a) -1\/2 (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5545471198?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from {r: 6, p: 2, i: 5}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 196, 165, 126, 85, 48, 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -27. Let o = -6 + a. Let b be (5\/(-4))\/(2\/(-40)). Solve -o*f + b - 9 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 24. Let o(l) = l**2 + 8*l + 6. Let y be o(d). List the prime factors of (2 - 0)\/(y\/99).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (t - 2*t**2 - 2*t + 0*t**2)*(-47*t - t - 119*t)*(2 + 0 - 1) in the form g + d*t**3 + l*t + p*t**2 and give p.\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*(-2)\/(-4)*1. Suppose -z + s*z - 2 = 0. Let l = 8 + -3. Which is the third biggest value? (a) -0.4 (b) l (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 - 253\/6. Suppose 4*u + u = 35. Let z(g) = g**3 - 8*g**2 + 7*g + 2. Let k be z(u). Which is the nearest to 1? (a) -0.2 (b) d (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21308240 to the power of 1\/3, to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.177 equal to -3.91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-6)*(6360\/(-140) + 34)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 9*z**2 - 3*z + 2. Let k(r) = -r. Calculate b(x) - 3*k(x).\nAnswer: 9*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 637 in descending order.\nAnswer: 637, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 2*y - 37. Let g be b(-5). Let t be 8784\/162 - g\/(-9). What is the greatest common factor of t and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 16) to base 6.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -61 + 0 + (5 - (9 - 6)). Let i = k + 60. Which is smaller: i or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24 - 2*g**3 + 7*g**3 + 66 - g**3 - 5*g**3 as q*g**2 + w*g**3 + m*g + o and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 - ((-17 - 1) + 55)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 0*x. Let h = x + 2. Let a(c) = 7 + 2*c**h + 4*c - 6*c**2 + 3*c**2. Calculate a(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -v**4\/24 + v**3\/2 + 13*v**2\/2 - 18. Let w(p) be the second derivative of z(p). Suppose 4 - 16 = 3*f. What is w(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 148 = 3*h + 4*z, -z = -4*h + 110. Let l be 4\/3 + h\/42. Solve -3*n - l + 14 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40 - 18. Let a = 13 + -31. Let o = s + a. Sort 1, o, 2 in ascending order.\nAnswer: 1, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 10:44 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 21\/8, -5, -0.9, -29.3?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 PM and 9:49 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 1\/3 (c) 1.2 (d) 5 (e) 157 (f) -1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 9:12 AM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1835 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of 283*v**8\/84 - v**4\/2 - 4*v**3\/3 + 12*v**2. Find the second derivative of k(p) wrt p.\nAnswer: 22640*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1584))\/(sqrt(484) + sqrt(484)*1).\nAnswer: -3*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 882740*r - 882741*r + 2*q + 32, -4*q = 5*r - 118 for r.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1877 - -1336. Is g a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 845213264 or 1?\nAnswer: 845213264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 2\/6697?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22092 is divided by 418.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4210574 is divided by 2999.\nAnswer: 2977","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6433.3 - 5.\nAnswer: -6438.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 - 19*y + 4 - 7*y - 2*y + 25.\nAnswer: -28*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 174 + -102. What is the highest common divisor of q and 180?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -365\/4948 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001011001000 - -1010000?\nAnswer: 10001100011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 0.98?\nAnswer: -0.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 3:03 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fanf when four letters picked without replacement from {a: 1, f: 2, i: 2, n: 1}.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 4*c)*(-5*c + 35*c - c) as p + y*c**2 + i*c and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 526.5 + -249.4. Let b = t - 290. Round b to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m + 61. Let w be l(-26). Suppose -3*i = -w*i + 18. Solve 13 = k + i*h, -6*h = -5*k - h - 15 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g + 4*g - g)*(-8 - 12 - 7) to d + r*g and give r.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218 + 220 = -v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -5556?\nAnswer: 5561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*s**3 - 10778*s**2 + 10764*s**2 + 0*s**3 as c + o*s + m*s**2 + r*s**3 and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/35080 and 19\/170.\nAnswer: 596360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -576 by -192.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2264687*v + 384656.\nAnswer: 2264687","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*p**4 + 9*p**4 - 2*p**4 + (-1 + 2*p + 1)*(p - 2*p**3 - p) - 3*p**4 - 2*p**4 + p**4 + 0*p + 5*p**4 - 2*p - 4*p**4.\nAnswer: 7*p**4 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 2)*(-4 + 4 + 3*x)*(-61696*x**2 + 544*x**4 + 61696*x**2).\nAnswer: -1632*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-5) + 24\/(-20). Is u bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -5*g**2 + 1544420*g - 52504500 = 0?\nAnswer: 34, 308850","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 13*t. Let d(j) = 169*j**2. Give o(d(y)).\nAnswer: 2197*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j + 7. Let f be p(-3). Let u be 1\/(-4) + (-17)\/(-4). Suppose -m = f*m + 4*t - 2, -u*m + 5*t = -18. Solve -m = -g, y + 8 - 1 = 5*g for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/3)*a\/(a*a**(-1)))**(-2\/25)*a**(-2\/7)\/a*a**(-3\/7)*a**0\/(a**7\/a) assuming a is positive.\nAnswer: a**(-824\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 500 + 29*m**2 - 49*m**2 - 81*m**2 - 5*m**4 + 70*m**3 - 200*m - 20*m**3 - 4*m**2 = 0. What is m?\nAnswer: -2, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6660 times 0.76\nAnswer: 5061.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 172198 by 2.\nAnswer: 86099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -7.3.\nAnswer: 1.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3*d = 11, -2*m - m = 2*d - 6. Suppose k - 28 = 4*q, 5*k = m*q + 42 + 50. Is k a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4*j + 79. Let m be t(18). Let f(l) = l**2 - 11*l + 3. Let b be f(8). Let c = -15 - b. Is c greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -318.667 + -3.743. Round q to 0 dps.\nAnswer: -322","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -222, -665, -1122, -1593, -2078, -2577, -3090?\nAnswer: -3617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -9*a - 5. Let z(j) = 12*j + 10. Determine -7*n(x) - 4*z(x).\nAnswer: 15*x - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 4:02 AM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nt when two letters picked without replacement from fnnntfttttntn.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 1 + (-1 - -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-100)*(-30)\/24.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*h - 51*h + 13*h + 16*h as b*h + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11456664.\nAnswer: 2, 3, 477361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -291, 1, -17169, -2.\nAnswer: -17169, -291, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**4\/7 + 2*l**3\/7 + 44*l**2\/7 - 32*l\/7 - 192\/7 = 0. Calculate l.\nAnswer: -4, -2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-75 + 86 - (2 - -24))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 382492.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 9\/10 of a meter?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1 - (-2 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*r**2 - 38*r**2 + 18*r**2 + 23*r**2 + 17*r**2.\nAnswer: 27*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k + 2. Let d be n(3). Suppose 4*j + 4*g + 8 = 0, -4*j + 5*g - 3*g = 2. Let l be (55\/10)\/((-1)\/(j*2)). Solve -d*f - 9 = l for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3 = -5*n, 4*n + 9*l = 10*l + 6. Let b(t) be the first derivative of 5 + n*t + 5\/2*t**2 - 1\/3*t**3. What is b(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 760\/133 - (-4)\/14. Let c(p) = -p**2 + 7*p - 3. Let h be c(l). Solve -8 = -q - h for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 8 = -2*j, 0 = -2285*j + 2288*j - 3*v + 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7832057897?\nAnswer: 7832057897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212020459?\nAnswer: 7, 151, 200587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(16) + sqrt(112)\/sqrt(112))*4)\/(sqrt(968) - 1*(sqrt(968) + sqrt(968)*-3)))**2.\nAnswer: 50\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21202 (base 4) to base 6.\nAnswer: -2454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + sqrt(77) + (sqrt(77) + 2*sqrt(77))*3 - sqrt(77))*-4)\/(sqrt(7) - (sqrt(77) + sqrt(77)*-2)\/sqrt(11) - (sqrt(7) - 1*sqrt(847))).\nAnswer: -10*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/12)\/((-23)\/69))\/((-16)\/(-6))?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 11:13 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -0.3 (b) -1\/2 (c) 1\/3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.95 - -70.05. Let r = -3068720462.00000122 + 3068720391. Let z = r + b. What is z rounded to seven dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2069 + 2071. Put -2\/3, d, -0.1, -39 in descending order.\nAnswer: d, -0.1, -2\/3, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 3*a**4\/4 + 4*a**3\/3 - 2*a**2 + 4*a - 2. Let d(c) = -2*c**3 - 3*c**2 + 3*c - 3. Give 4*d(t) + 3*v(t).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 455 and 10430?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -3 + (-2 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.15 - 0.03. Let m = 0.21 + x. Put -4, m, -5 in increasing order.\nAnswer: -5, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 7*r - 5*r - 344 = 0, -2*z + 212 = -3*r. Calculate the greatest common divisor of z and 707.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*t - 358 - 11 = -48*t. Let u be 1\/2 - 2\/4. Let g = 2 - u. Solve g = -4*z - 2*d, -t*z - d = -2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 + 39. Sort -5, -3, g.\nAnswer: -5, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 3*v - 6 + 5, 4*a - 46 = -2*v. Solve -3*t - 2*t - 5*q = a, -2*t - q - 2 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of l**5\/5 + l**4\/3 - l**3\/2 + 34*l**2. Is 13 a factor of g(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5226.683l to millilitres.\nAnswer: 5226683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -24 (b) 5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**3 - 14*u**2 + 12*u - 4. Calculate l(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 17251 = 5*v - 4*q, 4*v = 5*q + 13814. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126) - 2*-1*sqrt(126) - (sqrt(126) + (sqrt(126) - (-2*-1*sqrt(126) + sqrt(126) + sqrt(126)))))\/(-4*sqrt(35)\/(sqrt(5)*-2)).\nAnswer: 15*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w. Let i(n) be the second derivative of 2*n**3\/3 - 7*n**2\/2 + 301*n. Let c = 14 + -20. Let y(h) = c*r(h) + i(h). Differentiate y(a) wrt a.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -725d (base 15) to base 6.\nAnswer: -303511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 2 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1530586 is divided by 15779.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9054458.\nAnswer: 2, 7, 131, 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4089 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 - 28*t**2 + 221*t - 338.\nAnswer: (t - 13)**2*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 89676943123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 5*n + 18, 30*z - 25*z = -3*n + 14. Let l(m) = -2*m**2 - 3*m**3 - 6 + 5 + 2*m**3. Let y(o) = -o**3 - o**2 + 1. What is z*l(s) - 2*y(s)?\nAnswer: s**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -524*t**3 + 1062*t**3 + 245*t + 432*t**2 - 535*t**3 + 184*t.\nAnswer: 3*t*(t + 1)*(t + 143)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1522*g**2 + 52 - 52 + 1447*g**2.\nAnswer: -75*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 8, y: 1, b: 3, j: 6}. Give prob of sequence ys.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 9*i**2 - 11*i - 12. Let r be m(-10). Let v be 1\/2*r - -5. Solve a + v*a = -25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/3)\/f**(-1\/4))\/(((f\/f**(-5))\/f)\/f*(f*f**(1\/5))\/f))\/((f**(-1\/5)\/f)\/f*f\/(f*f**(-1\/5))*(f*f**(-2\/5))\/f*f*f*f**(1\/8)*f) assuming f is positive.\nAnswer: f**(-481\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 226804 to the power of 1\/2, to the nearest integer?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 5825*b**2 - 55*b - 90. Let z be u(-18). What is z rounded to the nearest ten thousand?\nAnswer: 1890000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-7)*b)**6*(b\/(b\/(b*b*b**13*b*b*b*b*b)))**(-11\/3) assuming b is positive.\nAnswer: b**(-328\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r + 5*m + 41, -104326 = 13*m - 104261 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -114, -453, -1018, -1809, -2826, -4069?\n\"Answer: -113*a**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1940953.\nAnswer: 7, 277279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 116098 - 4?\nAnswer: 116094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5084027.4 rounded to the nearest one thousand?\nAnswer: 5084000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 446 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**4 + 23*j**3 - 193*j**2 + 213*j + 234.\nAnswer: (j - 3)**2*(j + 13)*(3*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 6 = 3*d, d + 25 = 6*d + 5*k for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002562049 to six dps.\nAnswer: -0.002562","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 2*g + 3. Let p be o(3). Factor 5 - 3 + 12*b**2 + p*b + 3*b + 5*b**3.\nAnswer: (b + 1)**2*(5*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 3:05 PM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -272, -274, -276, -278, -280, -282?\n\"Answer: -2*c - 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 99, 401, 915, 1641, 2579, 3729, 5091?\n\"Answer: 106*f**2 - 16*f + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 245565?\nAnswer: 245564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 751365 and 387630.\nAnswer: 2655","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 268 and 70.\nAnswer: 9380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-76 + -1*2)\/((-12)\/(-26) - (-448)\/(-182))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 130 + -648\/5. What is the nearest to 0.3 in 0.1, -2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 82 = -338. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 2*v = -14, -34 - 102 - 60 + 215 = -24*i + 4*v + 95 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 828, -380, 8, 2 in decreasing order.\nAnswer: 828, 8, 2, -380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17327 at most as big as 1368808\/79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 6515496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -97 - -95. Let c be d\/4*28\/(-63). What is the nearest to -5 in -0.01, 1\/5, c?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -291 + 716. Calculate the highest common factor of o and 238.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 3) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155281399 is divided by 2048?\nAnswer: 2039","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 466\/9 + -52. Let h = -1.3 + -2.7. Sort h, c, 2 in descending order.\nAnswer: 2, c, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 - 5*v**2 + 4*v**2)*(4805*v**2 - 3 - 2294*v**2 - 1695*v**2).\nAnswer: 816*v**4 - 3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 24*m + 1775. Let s be r(-67). Let k(v) = 6*v**2 + 4*v - 3. Let y be k(5). Do y and s have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 253496 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - j + 1. Let b be l(2). Let v(t) be the second derivative of -4\/3*t**3 + 0 - 1\/6*t**4 + b*t - 4*t**2. Factor v(u).\nAnswer: -2*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 2*r + 1550. Suppose 7*y - 2*y = r. Let p(w) = 24*w**2 - y*w**2 + 31*w**2. Let h(n) = -n. What is p(h(k))?\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 839322159 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*j = 29*j + 5*s - 15, 2 = 4*j + 2*s for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -34 bigger than -173?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 21 = 0, -394*f + 10*b + 68 = -389*f - 9*b + 16*b for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 4 - 613557*h**2 + 612218*h**2 - 1.\nAnswer: -1339*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 180?\nAnswer: -17b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/2408938 and 67\/245810.\nAnswer: 12044690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -93, -370, -821, -1434, -2197, -3098?\n\"Answer: 2*d**3 - 99*d**2 + 6*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2472 and 64788?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10196471 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3241092\/13 + -249314. Factor 12\/13 + l*u - 2\/13*u**2.\nAnswer: -2*(u - 6)*(u + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 5 = -1. Let b be 1*-2 + (-16)\/f. Suppose 5*s = -k - 3, 5*k - 5*s + 40 = 115. What is the greatest common factor of k and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 18 = -2*l - b, -4*b - 12 = -l. Let w(m) = -m + 29. Let o be w(13). Is l at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 361452 is divided by 619?\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 v, and 2 y when four letters picked without replacement from {s: 2, k: 4, y: 4, v: 2, h: 2}?\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 4*s = -78, 2*q + 261 = 5*s + 150 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 10 + -10 + -7 + 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 13, 0.1, 5.36, 0, -3, -1\/9?\nAnswer: 5.36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 329921.\nAnswer: 359, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44 - -5) + 129 + -90 - (-32 - (1 - 3))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -0.2, -0.1, -3499?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-217)\/(-441))\/(267\/16821)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 8 - (4 + -3 - 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*u - 1716 + 5234 = 0, 5846 = 5*v + u. Is v a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 13*r - 4. Let q be (-3)\/(-2) - 8\/(-16). Suppose -q*m = -7 - 1. Let j be n(m). Calculate the highest common factor of j and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**0*y)*y)\/y**1)\/(y\/y**5*y**(-2\/11))*((y**(1\/3)\/y)\/y)\/(y*y*y**(-4\/3)*y)*y**(-2)*y**(-1) assuming y is positive.\nAnswer: y**(-71\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a kilogram in grams?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 42.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 788, 2, -5, 828?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -1\/9, -514, -5, -0.48.\nAnswer: -514, -5, -0.48, -1\/9, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d**(-15)\/d*d))\/d**23)**(1\/12) assuming d is positive.\nAnswer: 1\/sqrt(d)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04672886 to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 - 6*c + 3. Let l be j(-7). Let z(a) = a + 4. Let k = 16 + -20. Let m be z(k). What is the third biggest value in m, l, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/21*(-5)\/(-25)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of u**3 + 15 - u - 5 - 76*u**4 - 66 - 109 wrt u?\nAnswer: -912*u**2 + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 5:00 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 48 = -2*n, -4*n - 36 - 24 = -5*i. Let b(a) = 2*a + 17. Let j be b(-7). Factor v + i*v**3 + 0 - 2*v**2 + 2 - 13*v**j.\nAnswer: -(v - 1)*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*s + 67 - 54*s + 63 - 84*s + 25*s.\nAnswer: -141*s + 130","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -81*g - 2222. What is h(-49)?\nAnswer: 1747","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d + 684 = -12*d - 33*d for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*x + 2*x**2 - 12*x**2 + 5*x**2.\nAnswer: -5*x*(x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 6) + 15 - 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2010211 (base 3) to base 5\nAnswer: -22221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45317 is divided by 2059.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.088 - -0.195. Let r = 0.10700053 - z. Round r to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 m when four letters picked without replacement from ccccaccccmacaccaamc.\nAnswer: 11\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of d**3\/3 + 3*d + 3. Let u be g(0). Let o(y) = y**2 + 2*y - 1. Is o(u) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 104, 5, -3 in decreasing order.\nAnswer: 104, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 17.952 and -0.7.\nAnswer: 17.252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + 0. Let r = -1 + k. Solve 2*q = 5*q + r for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 22*u + 38, 3*u - 1533 + 1472 = -2*a for a.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3 - 1. Let j be 6\/p*2\/1. What is the third derivative of -4*i**2 + 0*i**2 + j*i**2 - 2*i**6 - i**6 wrt i?\nAnswer: -360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -14\/11, 10 in increasing order.\nAnswer: -14\/11, -0.4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*l - 22*l + 39*l - 16*l.\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {k: 3, e: 5, i: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 7. Let m = k + -2. Which is the third biggest value? (a) -2\/3 (b) m (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 643, 1477, 2297, 3097, 3871, 4613?\n\"Answer: -w**3 - w**2 + 844*w - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*y - f - 2, 2*y + 3*f - 7 = 0. Find the common denominator of 102*10\/(-20)*y\/(-44) and 95\/(-60)*((-52)\/58 + 1).\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/24 - 4\/(-3). Suppose g*t = -0 + 6. Suppose -t = -w + 12. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-12)\/(-40)*-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 3. Suppose -b*l + 27 = 3*x, x - 40 = -4*x - 4*l. Solve -3 = -x*n + 3*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -61 - 83. Let d = w - -178. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*l = 0. Suppose 3*o = -5*u + 345, -u + 0 + 3 = l. Let h = o - 78. Is 16 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 13 = -5*n. Let r = 41241 + -41239. Put -28, r, n in decreasing order.\nAnswer: r, n, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 + -5 - -4*1. Let p = 2 - -8. Let b = 7 - p. Sort j, b, 6 in decreasing order.\nAnswer: 6, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1510 plus 17?\nAnswer: -1493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2187) + (sqrt(2187) - -2*sqrt(2187))*1 + sqrt(2187) - sqrt(2187) - (sqrt(2187) - 1*sqrt(2187))*4)\/(-3*(sqrt(720)*-5)\/sqrt(5)).\nAnswer: 3*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.606 - -0.006. Let s = 1.5999999 + x. Round s to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53525584 divided by 100612\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1317933653 to the nearest integer?\nAnswer: 36303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66805*p - 3919 = 67199*p + 10265 for p.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 146643 and 26772822?\nAnswer: 187409754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 429771 and 429773 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -9*g + 408. Suppose j - g = -5*y, 5*j + 2 = y - 22. Is 7 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 15 = 7*a. Let y(g) = g**2 + 2*g + 2. What is the units digit of y(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -2, -785, 1 in decreasing order.\nAnswer: 5, 2, 1, -2, -785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5895\/5302 + -16\/241. Let v = -6 + 4. Find the common denominator of z and v\/(-4) - 261\/(-24).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/12*479\/2395. What is the second biggest value in -0.1, w, 2, 92, 2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2124 + 24*k**3 + 2124 + 21*k**3.\nAnswer: 45*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + p = 112. Suppose 2*k - 13 - 1 = -q, 2*q - 22 = -2*k. Calculate the greatest common factor of q and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23317487 (base 9) to base 4.\nAnswer: 223102313203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5.3 (b) -0.4 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 7*t. Suppose 9*c - 16*c - 56 = 0. Let x(g) = g**3 + 8*g**2 + 2*g + 18. Let q be x(c). Let d(a) = 10*a**q - 19*a**2 + 8*a**2. Calculate h(d(n)).\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifty-seven fifths of a kilogram?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 123*j**2 - 13*j + 25. Is l(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.01, 1, -6\/47, 208?\nAnswer: -6\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/90*5)\/(12\/2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l\/(l\/(l*l**(1\/4)*l))))\/l*l**(2\/5)*l*l*l\/((l*l**1*l*l)\/l)*l*l\/l**(-4\/7))**(-1\/90))**(-38) assuming l is positive.\nAnswer: l**(-247\/2100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39089 + 85114. What is the ten thousands digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3 - ((-24)\/10)\/(21*(-10)\/(-410550))?\nAnswer: 3, 5, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000110 (base 2) to base 11\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253 is divided by 102.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 + 2 = -3*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.9 + -12.9. Let s = 39619\/3 - 13207. Which is the nearest to -1? (a) -1\/3 (b) s (c) -0.2 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*x**2 - 4*x**2 - 3*x**2 + 31894 + 2*x - 2*x**2 + 3*x**2.\nAnswer: 7*x**2 + 2*x + 31894","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1696 at least 1665?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1688 - 3*g**2 + 1688.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -7*n + 210. Let h be b(22). What is the highest common divisor of 1624 and h?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-19)\/((-665)\/294)*(1 + 4). Which is smaller: 43 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65057028 and 2448.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.99 + 0.01. Let s = a + -5.6. What is the biggest value in 2\/7, -2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 4) in base 2?\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2a4 + -5?\nAnswer: -2a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 7*u**3 - u**2 - u + 1. Let d be (48 - 8)*1\/(-2). Let o = d - -31. What is the least common multiple of o and p(1)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.3 + -5. Let l = 0.6 - -0.6. Let r = -1 + l. Are i and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -439*b. Let t(u) = 42*u**2. Give t(n(c)).\nAnswer: 8094282*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*m + 43*m = -18. What is the units digit of (-1 - -6 - m) + 1101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 500.327 - 497.3. Let t = 0.027 - g. Which is the second biggest value? (a) t (b) -1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/6 (b) -3\/4 (c) 21\/3335\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 17*y**2 + 24*y - 3. Let j be a(-14). Let d = j + 15. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45028237 to the power of 1\/3, to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 65 and -0.0358.\nAnswer: -2.327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -6*n - 4\/3*n**3 + 2 - 3\/2*n**2 - 1\/4*n**4. Calculate b(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 375*w - 282*w - 2881 = -1021 for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4*p**2 - 9*p. Let t(l) be the second derivative of -l**4\/12 + l**3\/2 + 4*l. Let i(j) = 2*n(j) + 7*t(j). Let i(f) = 0. What is f?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10032727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2112101021 (base 3) to base 7\nAnswer: -265222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 420755579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 3*d - 7. Let q be u(5). Suppose q*z + 33 = 3*h, -3*h = -0*z + 3*z - 51. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*d**3 + 2*d**2 + 1047*d - 12946 wrt d.\nAnswer: -15*d**2 + 4*d + 1047","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 25 = 0, 3*g - 58 = -3*z + 17. Calculate the highest common factor of 2420 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274474 a multiple of 357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 6.1778?\nAnswer: 6.1778","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26334, -52435, -78536, -104637, -130738?\nAnswer: -156839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 3090162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*z - 447*z = 728*z + 27742 for z.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 9*o**3 + 9*o**2 - 2*o + 11. Is j(18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -103?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1182\/785 or 3?\nAnswer: 1182\/785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -410146.135 to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25080 + 511*t**2 - 12544 - 12536.\nAnswer: 511*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -0.043, -0.56?\nAnswer: -0.56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -16*l**2 + 3. Let b(s) = 31*s**2 - 7. Let i be (-2 - -8)\/(-6) - (9 - 7). Give i*b(y) - 7*p(y).\nAnswer: 19*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 96693 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9598820 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: Solve -17*x - 8111 + 7873 = 0 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus 1382.781?\nAnswer: 1382.981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 11:11 PM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 3*p - 2*p)*(1 - 2*p - 4 + 5)*(-3 - 3 + 2).\nAnswer: 16*p**2 - 16*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5646 = -1083*p + 381*p - 4384 - 500 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 73487 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 663?\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 1 + 5 = 0. Let x be (o\/(-2))\/((-6)\/(-8)). Suppose -x*k = -0*k - 72. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44167.38l in millilitres?\nAnswer: 44167380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -7\/13 (c) -3 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**3 - 14*u**2 - 16*u + 3. Let k be x(8). Let p = 45\/26 - 3\/13. Find o, given that -k - 3\/2*o**3 + 9\/2*o**2 + 3\/2*o - p*o**4 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64\/7, 0, -3\/5, -26 in descending order.\nAnswer: 64\/7, 0, -3\/5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yw when two letters picked without replacement from iwnwywwynwnyyw?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v**2 + 7*v - 6. Let z(f) = 7*f**2 - 14*f + 12. Let h(j) = -5*m(j) - 2*z(j). What is the units digit of h(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 62 + -49. Suppose 9 = 11*n - c. Solve 6 = 4*w - n for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 522.6 and 5.7489.\nAnswer: 3004.37514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 3*x - 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -30996 divided by -4\nAnswer: 7749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2402, 4757, 7060, 9311, 11510, 13657, 15752?\nAnswer: 17795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(432) - (sqrt(432) + -4) - sqrt(432)))**2.\nAnswer: -216*sqrt(3) + 513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -100*b**2 + 71*b**2 + 31*b**2. Let y(c) = c. Let x(z) = -3*z. Let j be x(-2). Let g(n) = -4*n. Let w(o) = j*y(o) + g(o). Calculate w(q(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7\/(-28) + (-41454)\/(-24). Suppose 3 = 7*x - 4*x + 2*j, 3 = -3*x - 4*j. Suppose 4*r = x*f + o, 0 = -2*r + 5*r - f - 1294. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1334686\/69355149 - -1\/89031. Find the common denominator of 19\/8 and c.\nAnswer: 6232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 1:57 PM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y + 5*y - 21*y**3 - 41*y**3 - 5*y.\nAnswer: -62*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 216 - 203. Let q(f) = t*f - 15*f + 22*f. Let h(d) = -5*d. Calculate q(h(n)).\nAnswer: -100*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -62*t - 739 - 197*t + 744 + 11*t. List the prime factors of w(-1).\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 828 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7770 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 2068*o**2 + o + 3*o + 1875*o**2 + 22.\nAnswer: -193*o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p + 4. What is the lowest common multiple of c(7) and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81.8 * -1496\nAnswer: 122372.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (37*t + 88*t - 13*t)*(-1 + 1 - 2*t**2) + (5*t**2 + 2*t**3 - 5*t**2)*(16 - 10 - 16) - 3*t**3 - 3*t**3 + 7*t**3 as a*t**2 + i + b*t**3 + f*t and give b.\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 15*u - 44. Let y be h(26). Let i = y - 211. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*c + 8*c + 10035. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 9*i**2 - 12*i - 1. Let u = -471 - -472. Let v(g) = -g**2 + 2*g - 1. Let n(y) = u*j(y) + 6*v(y). Let o(s) = -s**2. Calculate o(n(f)).\nAnswer: -9*f**4 + 42*f**2 - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + -13 + 2)\/(-1). Suppose -109 = -b + 17. Calculate the greatest common divisor of w and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 716 = 5*a, -43*i + 3*a - 1432 = -45*i. What is the hundreds digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.78 + 5.7. Let q = x + 0.08. Let f = -5.16 + 0.16. What is the nearest to 0.1 in -2\/9, f, q?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 5*r + 1. Let u(z) = 9*z**2 + 18*z + 9. Let o(h) = 4*j(h) - u(h). Let i(b) = -14*b**2 + 2*b - 6. Calculate -5*i(q) + 6*o(q).\nAnswer: -8*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h - 2. Suppose -g - 2*u = -62, 0 = 5*g + u - 378 + 50. Suppose -81 + g = 5*o. Calculate r(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + -85.454019\nAnswer: -85.854019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7 - -4)\/((-11)\/(-5)). Sort 81, z, 12 in increasing order.\nAnswer: z, 12, 81","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 1\/4, -3, 21 in decreasing order.\nAnswer: 21, 3, 1\/4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 - -18. Let h = -4 + 4. Which is the nearest to -0.2? (a) x (b) -4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 5*f + 69, 4*f - 2*f + 345 = 5*u. Let v(y) = 2*y**2 - y + 3. Let l be v(-3). Suppose -q + l = 6. Calculate the remainder when u is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 60 = 4*w, 79 = 2*x - 4*w - 33. Suppose 4*y + 16 = l, -x = -5*l + 2*y + 82. Suppose -3*q = q - l. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 657?\nAnswer: -662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 270140852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -w + 0 + 1\/21*w**7 + 1\/6*w**4 + 0*w**3 - 1\/15*w**6 - 1\/10*w**5 + 0*w**2. Factor b(z).\nAnswer: 2*z**2*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a85 (base 14) to base 10.\nAnswer: 2077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 38\/5) + (-8)\/20. Which is the third biggest value? (a) -4 (b) -3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1592 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((702\/240)\/(-13))\/(-18*(-17)\/(-408))\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -14271*m - 57152. What is a(-4)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 356*v - 13508 = 8*v + 9747 - 4463 for v.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 899841, 899902, 899963?\n\"Answer: 61*r + 899780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 85 - 73. Let d = -1.1 - -1. Which is bigger: o or d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10881 and 3.\nAnswer: 10881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 274838*s**3 + 30*s**2 + 3 - 2*s + 274836*s**3 in the form m*s**3 + t*s**2 + c + b*s and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 8, -3*n = 2*h + 8 - 31. Suppose 5*s = n, 2*s + 8 = 2*c + 6*s. Suppose -3*g + 44 = -4*y, -2*g - c*y + 50 = g. Does 11 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 1 + 5*b**2 - 3 - 2*b - b**2 + 3*b. Let x be m(-2). Calculate the greatest common divisor of 30 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i + 115*i**2 - 65*i**2 - 136*i**2 as f*i + z*i**2 + u and give z.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + (7 - 19) - -20) + -12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*s - 2*s + 2*s + 0 + 0 - 4*s + (-s - 3*s + 2*s)*(1 + 3 - 2))*(-3 + 4 + 13*s - 2) - 2*s + 2*s - s**2 to v*s**2 + h*s + k and give v.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2254172?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 192 and 1248.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1301323322 (base 4) in base 12?\nAnswer: -1a60a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5167968.5 rounded to the nearest one hundred thousand?\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 1:19 PM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 194777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 203 - 202 - (13\/7 + (-4)\/14)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1474785*t**3 + 2948937*t**3 - 1474151*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -k**3\/6 - 44*k + 2. Let b(c) = 5*c. Determine z(b(g)).\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 217 - 101. Suppose 4*n = 3*n - 3*p + 12, -4*n + 5*p = -c. Is n a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, 33, -3, 595 in descending order.\nAnswer: 595, 39, 33, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*1.874.\nAnswer: -0.3748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 26*w**2 - 131*w - 15. Let i be m(7). Sort i, 2, 5, -557.\nAnswer: -557, i, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -7. Suppose 0 = 2*k - 7*k + v*z - 8, 0 = 3*z - 12. Suppose -16*j + 11*j + 35 = k. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 162071935?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 310991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 10:20 PM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1891.019 millimeters?\nAnswer: 189.1019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xwp when three letters picked without replacement from {x: 1, p: 4, w: 2, e: 2, h: 5, j: 1}?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 v when three letters picked without replacement from evvvvevevvvv?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 14) to base 9\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 7:01 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 511 (base 6) to base 12.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15937\/3 + -5358. Let u = 154 - 109. Let j = z + u. What is the smallest value in 0.3, j, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130049 rounded to the nearest 1000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44869, 89679, 134433, 179131, 223773, 268359, 312889?\nAnswer: 357363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1037*i = 2522255 - 2629066 for i.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 166792\/5 and 33357 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 40044, 156982, 351882, 624744, 975568, 1404354?\n\"Answer: 38981*j**2 - 5*j + 1068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**3*l + 2818247*c**2*l + c**2 - 969*c*l - 2*c - 48*l + 6 wrt c.\nAnswer: 6*c*l + 5636494*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 9*g - 59. Let a(l) = -46*l + 281. Calculate -4*a(u) - 19*p(u).\nAnswer: 13*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5919046188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n + 1. Give d(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (399\/(-2))\/((-11235)\/2140)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -27555.15125 - -2\nAnswer: -27553.15125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 167998 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 14*z**2 + 11*z - 10. Let k be t(14). What is k rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ubuuugugc. What is prob of picking 1 g and 1 b?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 49*b + 2. Let w(r) = -2*r. Calculate y(w(k)).\nAnswer: -98*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -313216115, -313216114, -313216113?\nAnswer: -313216112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 227 + 22. Suppose 2*t = -4*n + 62, 8*n - 3*n - 3*t = z. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2928*d*k*x**2 - k*x**2 + 640*k*x wrt d?\nAnswer: -2928*k*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/126)\/(2\/4)*(-117)\/(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lrk when three letters picked without replacement from {k: 1, r: 3, o: 1, n: 6, l: 1}?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**2*b**2*k - 46*a**2*k*u - a**2*u**2 + 12*a*b**2*u**2 + 2*a*b**2 + a*u + 2*b**2*k*u - b*k*u wrt a?\nAnswer: 4*b**2*k - 92*k*u - 2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 4 - (-5 - -3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 22\/3*a - 4\/3*a**2 - 8 = 0.\nAnswer: 3\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -231 - -228. Let z(k) = -5*k + 1. Let b(c) = 2*c - 1. Let f(l) = 3*b(l) + z(l). Let j(w) = w - 2. Calculate p*f(r) + 2*j(r).\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z**2 - z - 4. Let w be o(3). Let n = -334 + 415. Find the first derivative of -27 - w + 18*k - 44 + n wrt k.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222*n**3 + 2312*n - 221*n**3 + 3963*n.\nAnswer: n**3 + 6275*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-75)\/(-27) - 4) + 8\/36. Let a(g) be the third derivative of g**6\/15 + g**5\/60 - g**3\/6 + g**2. Give a(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -7.94. Let f = -86 + 86.14. Let m = o - f. Which is smaller: 1\/3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 6, -5*k = -m - 4*k. Suppose -4*d + 3*u + m*u = -37, -2*d + 13 = 3*u. Suppose d*i - 3*i = 135. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 69*t**2 - 213*t - 210. What is r(72)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmqqmmmm. Give prob of sequence mmmq.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.337 + -8.337. Let x = -2\/5 + 9\/10. What is the fourth biggest value in -0.1, v, 0.1, x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 7*j**2 - 6*j + 5. Let n be z(-6). Let y be 5*(-3 - -4 - 0). Suppose 3*v - k = -y*k + 32, 2*k = -3*v + 34. Solve v = m - n*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/27*(60\/(-32))\/(-5)*(-84)\/3?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 4) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-28 + 28 - 11*i)*(6*i + i - 4*i)*(5 - 5 - 4*i) to f*i**2 + a*i + r*i**3 + l and give r.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 4 - 60. Suppose 2*j - 3*j + 4 = 0. Suppose 2*u - n = -2*m, j*u - 30 = -2*m + 4. Does 10 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0.5, -57, 2, -2, 0.3, -425, -5?\nAnswer: -425","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -362 + 525. Calculate the remainder when q is divided by 18.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 0*p**2 - 14*p + p**3 + 0*p + 16 + 14*p**2. Let h be b(-15). Is h at most as big as -4\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20 is divided by 18\/6 + (-2 - -3)*8.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 2:51 PM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18847 + -28948993\/1536. Let y = m - -16513\/1536. What is the common denominator of (-3)\/2 - 216\/90 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 - 67cb?\nAnswer: -67d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 415551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/2)\/(12711\/(-11913) + 30\/33)?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nrqsmes. Give prob of sequence qe.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5\/2 (b) 40 (c) -1 (d) -3\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 0*p - 2*p)*(247*p - 458*p + p**2 - 2 + 364*p + p**3).\nAnswer: -p**4 - p**3 - 153*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x - 26 + 41 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44131590 and 1880.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5c741 (base 13) in base 9?\nAnswer: -278668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -1\/3 (c) -0.4 (d) -175.1 (e) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 770 and 20?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -297, -1369, -3163, -5685, -8941, -12937, -17679, -23173?\n\"Answer: -z**3 - 355*z**2 + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 4:30 PM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 7:16 AM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 4*f + 2557 = 2552, -5*f = 2*b - 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20884.4 and 257?\nAnswer: 5367290.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4351 + 8622. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + (-2)\/(-2) + 4. Let l(h) = -h + 12. Let u be l(9). Let n = t + u. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -0.045218496?\nAnswer: 0.090436992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uq when two letters picked without replacement from {u: 1, q: 5, s: 5}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*k, 14*f + 2 = 10*f - 5*k for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2347 in -2\/11, 2\/9, -107?\nAnswer: -107","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 829 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 556717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -6*d**3 + 147*d**2 + 28*d + 1184. Give l(25).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5194 and 281006?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44*v*x**3 - 2*v*x**2 + v*x - v - 2*x**3 - 21*x**2 + 28188*x + 4 wrt x.\nAnswer: 264*v*x - 4*v - 12*x - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000856 to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 + 10. Let d = 7 + g. Sort d, 2, -0.4 in ascending order.\nAnswer: d, -0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 615 in 2\/45, 4, 0.06?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/i**17))\/((i\/i**(-25))\/i) assuming i is positive.\nAnswer: i**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 0 - 395*u**2 + 383*u**2 to the form y + b*u**2 + a*u and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -271*m**2 - 829*m + 4134532?\nAnswer: -542*m - 829","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u**5 - 3866*u**4 + 3751910*u**3 - 29787568*u**2 + 18412305*u + 186052050 = 0. What is u?\nAnswer: -2, 5, 1929","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2083153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -12.4?\nAnswer: -12.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -278 - -389. Let y = l - 64. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + d + 1. Suppose 4*t = 2*w - 18, 21 = w - 7*t + 2*t. Let a be c(w). Find the second derivative of 20*n**3 + n - 37*n**a + 25*n**3 wrt n.\nAnswer: 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 7:19 PM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c8d3 (base 14) to base 15.\nAnswer: -a421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8.44674 centuries?\nAnswer: 10136.088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6671389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.28 + -3?\nAnswer: 54.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 13 - 9)*(1 - 2*w - 1) - 1 - 6*w + w + w.\nAnswer: 12*w - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 + -33. Let d = -0.16 + 0.46. Which is the nearest to 0? (a) d (b) s (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 divided by 6\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 221 divide 1192415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k - 1 + 1)*(99*k**2 - 39*k**2 - 49*k**2) as n*k**3 + x*k + l + z*k**2 and give n.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -145 - -282. What are the prime factors of z?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80134 and 412?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -67*b**4 + 3*b**2*m - b*m**2 - 2*b*m - 12448*m**2 wrt b.\nAnswer: -268*b**3 + 6*b*m - m**2 - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-204)\/(-108) - (-1)\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of y**6\/15 - y**4\/10 - 7. Let o(r) = 0. Calculate r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 209 = -10*l + 73*l + 101 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2340 + 2361. Solve -38*q + 5*v - 5 = -33*q, 3*q = -3*v + w for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/2)\/(2\/4). Let g = -1.806 - -2. Let t = 0.194 - g. Sort -4, p, t.\nAnswer: -4, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 2) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 1509.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(19) - sqrt(19))*-2)**2 - -4*sqrt(171).\nAnswer: 4 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7*25\/105)\/(10\/24).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddqaddadadaddddqddzq. What is prob of picking 1 d, 1 q, and 1 a?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38815*m - 343227*m - 56124*m.\nAnswer: -360536*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from hmvmftvvfmvt?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*y - 3 + 3 - y + 3*y - y + 2*y + 2 - 2 + (2 - 5 + 1)*(-2*y + 2*y + 2*y) - 4*y + 3*y + 0*y)*(25*y - 19*y - 269*y).\nAnswer: -1052*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(2) + 2)*-6 - (sqrt(128)*2 + 0))**2 + -4 + (5*-1*sqrt(98)*1)**2.\nAnswer: 96*sqrt(2) + 2622","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (115 + -115)*(1 + (-5)\/4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(-3) + (-2)\/3. Let m = 54 - 50. Which is the closest to y? (a) m (b) -0.5 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*j**3\/5 - 3284526*j**2\/5 + 245186432064*j\/5 - 312050138624\/5.\nAnswer: (j - 149296)**2*(11*j - 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**3 + 13*v**2 - 261*v + 232. Determine o(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/1904485 and 109\/1550.\nAnswer: 19044850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -144? (a) 0 (b) 19.09 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = 16*t + 30 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 + -22. Let f = 82 + -77. Suppose -7*q + 2*q = 0, -3*t + f*q = -18. Calculate the smallest common multiple of t and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11071124 divided by 257468\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 9. Suppose 5 = 5*x, 321*y - 4*x = 316*y + 156. Solve -d*a - 3*b = -0*a - 25, 5*a + 4*b = y for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22215 divided by 3?\nAnswer: -7405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*o + 15 = -40*o - 47*o. Solve -t - 9 = -0*k + 2*k, 5*t + o = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 411*h**2 - 580*h**2 + 175*h**2 - 2.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -311\/6, 0.4, -0.4, 1\/34, -3\/7 in ascending order.\nAnswer: -311\/6, -3\/7, -0.4, 1\/34, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18466, -18468, -18472, -18478, -18486?\nAnswer: -18496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -20. Is s - (3\/(-1) - -1) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.05 + -2.95. Suppose 5*l - 72 = -47. What is the closest to s in l, -0.5, 0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -77*l - 383. Let y be r(-5). Let s(n) = -2*n - n + 1 - n**3 - n**3 - 12*n**2 + 16*n**2. Calculate s(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m + 9. Let b be q(-6). Let l(o) be the third derivative of 4*o**2 + 0 + 0*o + 1\/2*o**3 + 1\/24*o**4. What is l(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of 3*k**4\/4 + 3*k**2\/2 + 3*k. Differentiate g(b) wrt b.\nAnswer: 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)*1 - sqrt(98)) + 0 + -5*(-1*sqrt(98))**2 + -1 + sqrt(98) + 1 + sqrt(98) + 1.\nAnswer: -489 + 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 702\/(-15) + (-16)\/(-20). What is c rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46889678 is divided by 54?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i\/(i\/((i\/(i\/i**(-9)*i))\/i)))*i**(6\/17))\/(i**(-3\/5))**(1\/36) assuming i is positive.\nAnswer: i**(13637\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.583998589 - -2.584. Round w to seven decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 16*k**2 - 11*k + 14. Determine w(15).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3*y - 4*y - 12*y. Let c(h) = h + 2. Let u be c(-3). Does 19 divide p(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3*(sqrt(76)\/sqrt(4) - sqrt(19)) + sqrt(19) + -5*sqrt(57)\/sqrt(3) + sqrt(19).\nAnswer: -3*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5400 by 30.\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, p: 3, e: 1}. What is prob of sequence pp?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 0 (c) 7032378\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1364951424 to the nearest integer?\nAnswer: 36945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -118\/9 bigger than 1.99?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b = -3*d - 6*b + 3, -3*b = 3*d + 9 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.017078 rounded to three decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 - 3*p + 1. Let s(a) be the third derivative of 1\/24*a**4 + 1\/60*a**5 + 0 + 0*a - 22*a**2 - 1\/6*a**3. Give -m(j) - s(j).\nAnswer: -2*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47\/4 + 12. Sort 0.1, 2, u.\nAnswer: 0.1, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aajj when four letters picked without replacement from {k: 1, x: 2, m: 2, a: 1, j: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.688 - -4?\nAnswer: 3.312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 71221579?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2334218 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lcr when three letters picked without replacement from krccklkjllljjjljlr?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8 - -14)\/(2\/60). Let y be 1 + 1 - (m + 2). Round y to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 265647945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbtbttttbtttbttbz. What is prob of sequence bztt?\nAnswer: 9\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 96*g + 489 - 105 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2704 and -136.\nAnswer: -2840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 234, 680, 1184, 1746, 2366, 3044?\nAnswer: 3780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -43*t**2 - 4*t - 3. Calculate r(-1).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - 3*a - 7. Let n(g) be the second derivative of 7*g**3\/6 + 9*g**2\/2 + 19*g. What is the remainder when n(3) is divided by q(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*p**3 - 68*p + 68*p.\nAnswer: 32*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 5*x**2. Let o be 5\/(-10) + 1\/(-2). Let c be p(o). Find the common denominator of (-1959)\/90 + (-2)\/c and 2\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/12585210 and -49\/330.\nAnswer: 12585210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + (0 - 0)\/3. Let i be -2*(-1 + 1\/r). Suppose -g + i*l = -27, g + 5*l + 155 = 6*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3d - -2be?\nAnswer: 2fb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-4*1*(-22)\/(-704)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 > -1742?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 59 - 11*t + 6*t + 47*t**2 - 43*t**2. Let v(j) = -j**2 + j - 1. Let r(w) = -u(w) - 5*v(w). Let g(z) = z. What is r(g(o))?\nAnswer: o**2 - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 0 = 2*q. Which is the closest to 5? (a) q (b) 3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 6 = -r. Suppose 5 = -5*q, o + 5*q + 4 = r. Suppose -2 - 2 = -o*l. Solve l*d + 0 = -2*j + 14, -d + j - 1 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.19, 2\/3, -12\/169 in increasing order.\nAnswer: -12\/169, 0.19, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 91973 and 3754.\nAnswer: 1877","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 156280 and 4160?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, u: 7, m: 1, p: 1}. Give prob of picking 1 m and 1 n.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 2*r**2 + 31*r - 4. What is the hundreds digit of w(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.937 - -1.063. Let a = -1.98 - 0.02. What is the nearest to s in a, 1, -0.37?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 5 - 3)*(-2 - 1 + 1)*(0 + 0 + j) to c + z*j and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*b*n + b - 139*n - 265 wrt n.\nAnswer: -8*b - 139","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9.6, 0.5, -2\/3, 9932, -2\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 125 - 126 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p - 11 = -227. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 13 + 4 + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - 2*k - k)*(-6*k + 5*k - k + (-5 - 16 + 34)*(4*k + 4 - 4)).\nAnswer: -200*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*y**3 + 45*y**2 + 70*y - 120 = 0. Calculate y.\nAnswer: -6, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 4101762.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - j - 6 - 5, -3*j = -3*t + 3. Suppose -104 - 66 = -t*l. Solve 2*f - 5*f = 5*p - l, -26 = -2*f - 4*p for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.68 - 11.68. What is the second smallest value in z, 8, 2\/9, 2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 6 = -4*b, -6*q = -5*b - 3*q + 20. Suppose 11 + b = j. Suppose -3*m = -3*n - j, -2*m + 0*n = -3*n - 8. Solve 0 = m*g - 0*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*c - 25*c - 3733 + 3283 = 0 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from egooegoeeeegg. Give prob of picking 2 o.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3 - 185*x**2 - 546*x.\nAnswer: -x*(x + 3)*(x + 182)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*c - 66*c = -2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 55098 minus -945062.4?\nAnswer: 1000160.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -216, -174, -124, -72, -24, 14, 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 4*j - 12. Let r = j - 5. Differentiate 3*q**2 - r - 1 - 2*q**2 with respect to q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*-1154\nAnswer: 4616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2429648335 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 29567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18*(-7)\/((-126)\/12). Solve -2*j = 2*j - m for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3908 is divided by 83?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2672 divided by 4\nAnswer: 668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 + 1 - 3)*(0*m - 2*m + 4*m) + 4*m - 4*m - 2*m)*(-2*m**2 + 1 - 1)*(-132 + 47*m + 16*m + 134).\nAnswer: -756*m**4 - 24*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 - p**2 + 3*p**3)*(-5 + 5 - p) + 10*p**4 - 41*p**4 + 0*p**4 - 4*p**2 + p**4 + 4*p**2.\nAnswer: -33*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(176) - -2*sqrt(176)) + -2)**2 - ((sqrt(176) - (sqrt(176) + 1)) + -1)**2)*4*-1*-4.\nAnswer: -768*sqrt(11) + 25344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2937 = -5*n + 4338. What are the prime factors of n?\nAnswer: 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.113412 microseconds to minutes.\nAnswer: 0.0000001518902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t. Let p(j) = 159617*j. Give d(p(y)).\nAnswer: 159617*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**(-1\/15)*b\/(b\/(b*b\/(b*b**(2\/31)*b*b))))**(9\/8))**(-2\/9) assuming b is positive.\nAnswer: b**(-101\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -5. Let v(r) = 5*r**2 - 3*r + 12. Let i(o) = -10*o**2 + 6*o - 24. Let x(q) = -4*i(q) - 7*v(q). What is the remainder when x(-3) is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 6 = -v, 3*v - 4*h - 6 = -3*h. Solve g - v*g + 6 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 11, -832.\nAnswer: -832, -5, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000056056505 to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 2*g - 18, 5*g - 289*m = -297*m + 45 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cmpf when four letters picked without replacement from {p: 2, c: 7, m: 1, f: 8}.\nAnswer: 7\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 29*w - 3. Let o(p) be the second derivative of -p**4\/6 + 41*p. Determine c(o(q)).\nAnswer: -58*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 32*c + 1051. What is the remainder when 878 is divided by o(-20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.212 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 36 + -5?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 1366*y + 21847. What is i(-16)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -30 * 225\nAnswer: -6750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.319*-0.2.\nAnswer: -0.2638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 less than 258.852?\nAnswer: 308.852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 952 divide 119097104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-28)\/8 + 5)\/((-6)\/(-68)). Let f(j) = -j**2 - 6*j - 13 + n + j. What is f(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 113882219 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + -5 + 0)**2 + -2 + 0 + sqrt(11) + -1*(sqrt(55)\/(sqrt(5) - sqrt(45)\/(-2*sqrt(9))))**2)*-3.\nAnswer: -262\/3 + 27*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2644996570.\nAnswer: 2, 5, 31, 8532247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5 = -4*j, n = j + 9. Let k be -1*2*(-5)\/(-10). What is the smallest common multiple of n and 2 + k\/(-1) - -3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j**2 + j**2 + j**2 + 331*j + 1 - 325*j in the form v*j + h*j**2 + d and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - v = 1627, 2 = -4*v - 2. Suppose 0 = -2*j, -2*l + j = 2*j - q. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 330 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -119 - -597\/5. Factor 0*y + 0 + c*y**2.\nAnswer: 2*y**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -23, -37 in ascending order.\nAnswer: -37, -23, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 21*l + 170. What is v(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w + 5*j = -328 + 621, 0 = 4*w + 4*j - 100 for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.968785ml in litres?\nAnswer: 0.008968785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 5:44 PM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0566 + 10?\nAnswer: 9.9434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7960464, -7960461, -7960456, -7960449, -7960440, -7960429, -7960416?\n\"Answer: x**2 - 7960465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**5 - 7*x**3 - 33*x**2. Let a(u) = -4*u**3 - 17*u**2. Let o(k) = -7*a(k) + 4*t(k). Find the third derivative of o(l) wrt l.\nAnswer: -240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 - 1 + (3 - 3 + 1)*(-3 + 3 - 2) + 3 + 10 - 2)*((-168 + 24*u + 168)*(-1 + 11 - 3) + 2*u - 3*u + 2*u) in the form h + g*u and give g.\nAnswer: 1183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.8007 + -0.4007. Let x be (-4)\/(-6) - (-2)\/6. Which is the smallest value? (a) -6 (b) u (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*c - 20*c = -20. Sort -3, 2, 4, c.\nAnswer: c, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 4*h**2 + 373*h - 36. Let y(o) = 3*o**2 - 372*o + 27. Determine 3*p(i) + 4*y(i).\nAnswer: 3*i**3 - 369*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -845 - -10135\/12. What is the common denominator of 113\/234 and n?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 584, 597, 626, 671, 732, 809?\n\"Answer: 8*h**2 - 11*h + 587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -5. Let t = 1567 + -1564. Solve t = -4*m - d for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 + -24. Calculate the greatest common factor of 2 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q - 2. Let f be v(9). Suppose 0 = -4*t + f. Suppose -57 = -4*i - 0*s + 3*s, -t*i - 2*s + 82 = 0. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 400551*j. Let r(b) = -3*b - 32. Give n(r(u)).\nAnswer: -1201653*u - 12817632","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i**3 + 9*i**2 + 3*i - 10. Let l(w) = -5*w**3 - 9*w**2 - 3*w + 9. Let r(c) = -3*l(c) - 4*n(c). Is r(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 29 = -26. Is q a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 7*i**2 + 9*i + 6. Give h(6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*o + 2*q = -20*o + 20, 12 = 3*q for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(((-12)\/2)\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = p - v, -5*v + 8*v = -p + 1 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59 - 31. What is the remainder when l is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 6.5. Let x be ((-1)\/(-2))\/(-10*(-4)\/(-32)). What is the smallest value in 5\/2, s, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, -0.07, -13, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 401770, 401779, 401796, 401821?\nAnswer: 401854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of 1\/360*t**6 - 1\/120*t**5 + 1\/3*t**4 + 0 + 0*t**3 + 0*t + 14*t**2. Let g(r) be the second derivative of p(r). Give g(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a**3 + 4*a + 4. Let y be -3 + 3\/(-1) + 3. Let k(o) be the first derivative of -o**4 - 5*o**2\/2 - 5*o + 66. What is y*g(l) - 2*k(l)?\nAnswer: -l**3 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ivivvvyiviiiiv. What is prob of sequence vv?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - ((8 - 62) + 0 - (-6 + -5)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -290252 to the nearest ten thousand.\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-2))\/((-4)\/8). Suppose 4 = 2*t - 4*x, 10 = -t - x + 3. Suppose n = -4 + 2. Put t, n, l in descending order.\nAnswer: l, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*q + 660 = -108*q + 52*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 636.\nAnswer: 2544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (0 + -2 - (-39 + 30))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 24065, 49834, 75607, 101384?\n\"Answer: 2*c**2 + 25763*c - 1700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.9 and 32\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and 2650.\nAnswer: 2650.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 112, 262, 674, 1480, 2812, 4802?\nAnswer: 7582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-1) - (-1378)\/208?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 0*c + 3*c - 8 = 0, -3*n - 5*c = -23. Let d be 5\/(0 - (1 + -2)). Solve t + 15 = -d*j, t - n = 3*j + 8 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 42.65217 meters?\nAnswer: 42652.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 50*c**2 + 20*c + 1008. Determine g(-50).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 3*r**3\/4 + 13917*r**2\/4 + 3851235*r\/2 - 5808186 = 0?\nAnswer: -3996, -646, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13801*f**3*p*r**3 + 724*f**3*p + 3*f**3*r**3 + 2*f**3*r + 2*f**2*r**3 - 8*r**3 + 730*r with respect to p.\nAnswer: -13801*f**3*r**3 + 724*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17925280 to the nearest integer?\nAnswer: 4234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 237510 to the power of 1\/2, to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -567 + 534?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((500\/30)\/5)\/((-4)\/(-1)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 55 = 59. Suppose 2*t = 0, -4*z + 0 = 5*t - 16. Suppose -5*b + 3*w = -4, -4*w + 0*w = z*b - 16. Solve f + b = r, -h*r - 3*f - 7 = -4*f for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rm when two letters picked without replacement from {m: 1, r: 1, f: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 35\/(-168) - (-2)\/6\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -11\/2, -3\/4?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**5*c)\/(c\/(c*c**(1\/3)))*(c\/c**0)**(2\/35))**(-37) assuming c is positive.\nAnswer: c**(-28712\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 28 = -2*w, -3*w - 5*m + 1254 = 1176 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.51730593 to 2 dps.\nAnswer: -2.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 less than -23226.69?\nAnswer: -23317.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-7 - (-2 + 4 + -7)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 405*l**2 + 2. Is r(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1915825 - 1182368. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cccn when four letters picked without replacement from {c: 9, n: 3}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 635, 2072, 4099, 6722, 9947, 13780, 18227, 23294?\nAnswer: 28987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 10*t - 40 = 0. Suppose 2*z - w + 0 = t, 12 = 4*z - 4*w. Suppose -2*h - l = -19, -36 - 17 = -5*h + 3*l. Solve h + 5 = -z*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 - 0.3. What is the third biggest value in 4, 5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 + 37. Suppose -o + k*r = -112, -r + 0*r = -3*o + 356. Suppose -2*f = 4*n - o, -240 = -4*f - 0*n + n. Is 20 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000011877 rounded to 7 decimal places?\nAnswer: -0.0000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4*x**3 - 3*x**2 + x + 2. Let u be (2 + 35\/(-10))*(3 + -5). Let w be g(u). Suppose -24*a + 23*a = -w. What are the prime factors of a?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 5 = 6*p. What is the nearest to -1\/4 in -72, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-50))\/((-21)\/(-3) + 111200\/(-16000))?\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74294 is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -18216120 divided by 4554030\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m - 6 + 6 + 2*m - 6*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29603446*a**3 - 148863*a**2 + 6*a - 3.\nAnswer: 177620676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -35*p + 142. Let n be h(4). What is the highest common divisor of n and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -13 - -64) + 40 + -63?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**5 - 171*i**4*o - 2*i**2 - i*o - 118*i wrt i.\nAnswer: -120*i**2 - 4104*i*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - w - 4. Suppose 21*b - 44 = 17*b. Let t be (3 - b\/(-13)) + 8\/52. Give z(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*w**4 + 38 - 13*w**4 + 2*w**4 + (w**2 + w**2 - w**2)*(0*w**2 - 2*w**2 + 3*w**2) + 1 - 1 - 3*w**4 + 0*w**2 - 2*w**4 + 0*w**2.\nAnswer: -3*w**4 + 38","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -1. Let c(s) = s**3 - 9*s**2 + 10*s + 1. Let t be c(8). Suppose t*a - 11*a = -48. Let y(q) = -8*q + 8. Give a*i(f) - y(f).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 506 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxvvxxxxrzxzrzxxxxz. Give prob of picking 1 z and 1 x.\nAnswer: 24\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83843 is divided by 11972.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (((-10 - (-3 + -3)) + -4 - -78) + 6)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.9 - -1.4. Round a to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*o - 2*o + o + (-4 + 1 + 4 + (-4 + 5 - 3)*(3 - 1 - 1))*(-3*o + 3 - 3) in the form v*o + p and give v.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*b - 2669 - 529 = 0. Let m = 731\/6 + b. What is the closest to 0 in 0, m, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6 - 180\/(4 + -19). Solve -s = 3*a + 8, -s + m*s + 23 = 2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38723*z**3 - 26*z**2 - 42065329*z - 2 wrt z?\nAnswer: -232338*z - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -g**4\/6 - g**3 - 12*g**2. Let i be n(-2). Solve 3 = -i*d - d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.064*716.\nAnswer: -45.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ftii when four letters picked without replacement from {f: 1, k: 3, i: 5, a: 1, t: 2}.\nAnswer: 1\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**4\/2 - 3*z**3\/2 - 3*z**2\/2 - z\/2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*s - 5*r + 21, s - 5*r = -21. Suppose -5*f + 5*i + 30 = 0, 0 = 4*f - f - s*i - 21. Let k = 27 - 12. Solve -f*l - 2*l - k = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9994271.327 to the nearest one thousand.\nAnswer: 9994000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d - 2. Let p be b(0). Suppose -7*o - o + 8 = 0. Put -0.1, p, -0.2, o in descending order.\nAnswer: o, -0.1, -0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 + -8. Suppose -t = 7*n - 29. Solve n*c + 15 = 7 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_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: Calculate ((-15)\/6)\/((-110)\/(-20) - 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 6575 + 1305. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 - 40?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 11*b + 9 = 0. Let s be (-18)\/(-10)*(b - -12). Suppose 0 = -5*d - 4*j - 2 + 5, -4*d + 5*j + s = 0. Solve p = 2*p + d for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 10690*a - 62924. Determine s(6).\nAnswer: 1216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.64 + 8.41. What is y rounded to 1 decimal place?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -7*d + 5. Suppose 3*t - 3*m = 39, -4*t + 3*t + 3*m = -5. Suppose x = 21 - t. Let q(y) = 3*y - 2. Give x*f(u) + 9*q(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 100958482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -1\/8*j**2 - 4 + 1\/16*j**4 - 1\/12*j**3 + 1\/4*j. Factor v(l).\nAnswer: (l - 1)**2*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9591128 + -16394651. Let b = -6803523.21000095 - t. Let r = 0.21 + b. Round r to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -423 in -1053, 1, -30, 2\/3?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 27148.246 to the nearest one thousand.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6165848083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 93 + -192. Let y be z\/154*(0 + 2). Is 0 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (44640\/110)\/18 - (-4 - 150\/(-33))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.0045 - 1.1345. Which is the nearest to 0.1? (a) 5 (b) 13 (c) -0.4 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/(-81) - 71\/(-9). Let i(n) = c + 86*n + 93*n - 178*n. Let w(y) = 1. Let f(x) = 4. Let l(r) = f(r) - 3*w(r). Calculate i(k) - 6*l(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 64*r**2 - 8. Let d(h) = 4759*h**2. Give l(d(m)).\nAnswer: 1449477184*m**4 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 5*y + 2*y)*(2 + 4 - 4).\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216) + (4*sqrt(216) - sqrt(216)) + sqrt(216) - sqrt(216))\/sqrt(8))\/(-2*sqrt(81)) - (4*sqrt(54)\/sqrt(6))\/(5*-3*sqrt(3)).\nAnswer: -2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2b1 - -3?\nAnswer: -2ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11899908 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4 + 6*r - 5 + 5 + 2*r**2 + 1. Let c be j(-3). Suppose -c*x - f + 119 = 0, -5*x + 3*f + 85 = -18. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4*f**3 + 2*f**2 + 69*f - 376. Give n(5).\nAnswer: -481","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -11 - (1 + -115)\/6. Solve -h*l = 34 - 2 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -8*r. Let y(p) = 4381*p + 6. What is x(y(u))?\nAnswer: -35048*u - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4539 - 4542. Let j = -3 + 3.12. What is the second smallest value in -5, -1\/3, g, j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 10}. Give prob of sequence rrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 16, -94*m - w = -47*m - 46*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8640336 (base 9) in base 14?\nAnswer: -888258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1011 + 100113213003?\nAnswer: 100113211332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -224964, -224894, -224824, -224754, -224684, -224614?\nAnswer: -224544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*((-128)\/(-72) - 6\/(-27))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -2, 5, 333?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15634502 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: In base 15, what is -3 - 9653?\nAnswer: -9656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2 = -2*t, -4*p + 3*p = -5*t + 2. Suppose k - 7 = -2. Solve 0*y + k*y = t for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 23 and 1497719?\nAnswer: 1497696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5\/6)\/(f*f*f**(-8)))\/(f**(-7)\/f**(-4))*(f**8\/(f**(-8\/7)*f))**(-3\/16) assuming f is positive.\nAnswer: f**(2231\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 418.39 * 0.3.\nAnswer: 125.517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 12.43 * 0.4799\nAnswer: 5.965157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11725?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.01 + 0.01. Let h = -2679\/68 + 300\/17. Let x = h + 601\/28. Which is the third biggest value? (a) x (b) n (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u**2 - 16*u + 2. Let s(z) = -2*z**3 - 79*z**2 + 493*z - 94. Let x be s(-45). Let w(t) = -5*t**2 + 31*t - 3. Calculate x*w(r) - 7*o(r).\nAnswer: -r**2 - 12*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 220664317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 5*d**2. Let a(g) = 415*g**2. Give h(a(f)).\nAnswer: 861125*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1381694 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.24 in -9, -2, 4\/47, 5, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(684) + 3.\nAnswer: 4 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1425, -1426, -1427, -1428?\nAnswer: -1429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -306 + 513. Let a(q) = 211*q + 5087. Let j be a(-24). Calculate the greatest common factor of l and j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(900) - 1*sqrt(900))\/(sqrt(588) - sqrt(588)*-1 - sqrt(108)*6).\nAnswer: -25*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from aaaakbaabka.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9418.40109ms in weeks?\nAnswer: 0.000015572753125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.74057 years to decades.\nAnswer: 0.074057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/10*(-4)\/3. What is the nearest to 3 in b, 1, 1\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3083*x. Let s(h) = -6*h. Give n(s(l)).\nAnswer: 18498*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -0.28, 0.2, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -11. Suppose -i = 2*d - 17, -a*d + 2*i + 32 = -33. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3016 is divided by 432?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3223186 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppppppppp. What is prob of sequence ppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*d**4*v + 2*d**4 - 72737*d**3 - 3171*d**2*v + 56*d**2 - 3*d*v + 2*v wrt d.\nAnswer: -72*d*v + 48*d - 436422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 463333535 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + -32)*70\/(-14). Suppose -8*r + 2005 = k. Calculate the highest common factor of 23 and r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: -8*(189\/48)\/9*5050\/3535\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by -29\nAnswer: 12\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*o - 34*o - 73*o)*(3*o**2 - 3*o**2 - o**4).\nAnswer: 88*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 35*s + 120. Let h be g(3). Calculate the highest common factor of 100 and h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 - -78. Let t = c + -44. What is the remainder when 18 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/11 - 19278*f**2\/11 - 46464798*f\/11 - 46445522\/11.\nAnswer: -2*(f + 1)*(f + 4819)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m. Let w(q) = -2*q - 1. Let b(i) = 3*n(i) + 2*w(i). Let g(l) = -l - 7. Let o be g(-5). Let a be b(o). Put -5, a, -2 in ascending order.\nAnswer: -5, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1399 - 1398.8. Which is the closest to r? (a) 0.3 (b) 0 (c) 3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*u = 6*u + 9600. Does 50 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-65)\/110)\/(89\/178 + 4\/(-10)) - -6.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 66*s**3 - 27*s**2 + 27*s - 27. Suppose -46*l = -39*l - 378. Let q(b) = -5*b**3 + 2*b**2 - 2*b + 2. Calculate l*q(k) + 4*c(k).\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1627 + -318?\nAnswer: 1309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52597080 and 1080?\nAnswer: 52597080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a + 4. Suppose -8*m = -4*m + 16. Let h be x(m). Let u = 233\/3 + -77. Which is smaller: u or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10328588?\nAnswer: 2, 17, 193, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 33111313000230?\nAnswer: 33111313000232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1379.\nAnswer: 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 58*j. Let v(s) = -2697*s. Give -232*b(c) - 5*v(c).\nAnswer: 29*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 7*q**2 + 8*q + 2. Let k be p(-8). Suppose k*n = 5*n + 3*s, 4*s = -16. Suppose -5*l = -12*l + 21. Solve -h = -n + l for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 15927.\nAnswer: -4\/15927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 2*r + 3. Let l be x(-3). Suppose g - 36 = 23*f - 22*f, 3*f - 90 = -3*g. What is the greatest common factor of l and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.11 + 3. Let q = 4.6 - 5. Let j = -1327 - -1326. What is the nearest to j in 2\/5, q, y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yjy when three letters picked without replacement from {y: 4, j: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 5167 (c) 156\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -4344?\nAnswer: 4351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + p - 3*p - p as c + h*p and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -33, 22, -3, 10, -4, -7 in decreasing order.\nAnswer: 22, 10, 0, -3, -4, -7, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 7*g**2 - 20*g + 20. Calculate p(11).\nAnswer: -684","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-35)*(-12 - 242\/(-33))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6194 divided by 6\nAnswer: -3097\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 644 and 3964556?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -213 + 225. Suppose 275 = j*a - a. Solve 0 = -5*g + a, 0*t + 3*t + 4*g - 20 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -466 + 740. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - (-3364)\/21)\/(-23). Let y = h - -112\/69. What is the common denominator of 25\/9 and y?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22711, -22717, -22727, -22741, -22759, -22781, -22807?\nAnswer: -22837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/(-117) + (-29)\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*-1 - (7 + -6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 250 - 258. Let p(h) = -2*h. Let c(y) = y. What is l*c(d) - 5*p(d)?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 + 2*t + 4. Let r = -1 + 0. Let a(c) = -c + 1. Let y(u) = r*a(u) - x(u). Is y(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/((-3)\/(-4)) + 0 + -2. Let k be 90\/70 + b\/21*-3. Let d(f) = -3*f - 1. Let v be d(-1). Solve -k - v = 3*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327717?\nAnswer: 3, 13, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8762 = 98*s - 72*s. Suppose -4*l = 5*z - s, 6*z = 5*l + 8*z - 400. List the prime factors of l.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) + -1 + sqrt(162))*-2)**2.\nAnswer: -144*sqrt(2) + 2596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4a10 + 3?\nAnswer: -4a08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2216, -1699, -924, 31, 1088, 2169, 3196?\nAnswer: 4091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 720\/(-54)*12\/5. Let w = k + 98\/3. Which is the closest to -1\/2? (a) w (b) 4\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to -672\/143?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 248722963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 619 is divided by 123?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 232 and 2842?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*x + 12 = 0, -2*j + 2*x + 31 = -3*x. Is j\/5 - 864\/(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 (base 9) in base 5?\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 6) to base 5.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-6)*-3 + 141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -w**4\/12 - w**3\/3 - w**2. Let x be z(-5). Let t = -1 + x. Calculate the least common multiple of t and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117394 is divided by 39044.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 15*w**3 + 7*w**2 + 157*w + 1. Let f(v) = -29*v**3 - 12*v**2 - 314*v - 1. Let z(x) = 4*f(x) + 7*j(x). Find the second derivative of z(t) wrt t.\nAnswer: -66*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhs when three letters picked without replacement from {j: 1, h: 7, s: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 11*b - b - 4*b. Let u(o) = -7*o. What is t(u(h))?\nAnswer: -42*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + 1 - 8*t + 4 + 1. Let s be g(-9). Let x be s\/6*-3*4. Solve -m + x = a, -3*m = m + a - 18 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3303332881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 0, -m - 5*l = 5 - 4. Let i = 42 - 42. Sort -3, m, i in descending order.\nAnswer: i, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2056881ml to litres.\nAnswer: 0.0002056881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49 - -143. Suppose 0 = g - 17 - b. Calculate the remainder when g is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d = 10*d + 20. Suppose 5*r = 4*x, 4*x - 5*r + r = 0. Suppose -2*h + 46 + 54 = x. Calculate the greatest common divisor of d and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i - 41. Let n be x(23). Suppose 5715 = 8*w - n*w. Suppose -7*t - 8*t + w = 0. List the prime factors of t.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5026?\nAnswer: 2, 7, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -518*g**2*m + 930*g**2 wrt m?\nAnswer: -518*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*w + 4. Suppose 485 = 5*r + a, w*a + 76 = r - a. Suppose 4*z = 5*v + 125, v = -3*z + 4*v + r. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -3 - (0 + -2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0518567 and 1.\nAnswer: 0.9481433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/2)\/(-4))\/(9\/180)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -75*q**4 + 3*q**2 + 3*q - 74. Let a(u) = u**2 + u. Let f(z) = -3*a(z) + j(z). What is the derivative of f(l) wrt l?\nAnswer: -300*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 18, 5 in descending order.\nAnswer: 18, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 1. Let t(x) = 6. Let n(h) = -5*q(h) + t(h). Let y(o) = 3*o**2 - 4. Let i(f) = -4*n(f) - y(f). Let r(s) = -5*s**2 - s**2 + 2*s**2. What is i(r(l))?\nAnswer: -48*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - 0\/((-4 - 2) + 4 + 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, s: 2, p: 5, d: 1, t: 1}. What is prob of picking 3 p?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, k: 4, e: 2}. What is prob of sequence kko?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2269934709 + -0.36.\nAnswer: -2269934709.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5059 + -5070. What is the fifth smallest value in 5\/3, 1\/2, 1, -5, q?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ue when two letters picked without replacement from nbeeuneblbneeeun?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-8)*4*(-5)\/(-2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, a: 1, k: 1, q: 1, n: 5}. Give prob of picking 1 a, 1 p, and 1 q.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.8 - 12589369?\nAnswer: -12589362.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/c**0)**44*c**12\/(c**(2\/7)*c*c) assuming c is positive.\nAnswer: c**(684\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40485 - 40436. Solve -16*a - 15 = l for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6950 and 9374160.\nAnswer: 46870800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 318\/1080 - ((-22)\/8 - -3). Let w = p - -37\/180. Let 0 + 1\/2*u**4 - w*u**5 - 1\/2*u**2 + 1\/4*u + 0*u**3 = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2955921.183 to the nearest ten thousand.\nAnswer: -2960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9209*j**3*s + 17*j**3 - j**2*s - 8*j**2 + 15972*j*s + 510*j + s wrt j.\nAnswer: -55254*j*s + 102*j - 2*s - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m**3 - 4*m**3 - 2*m**3 + 3*m**3 - 4*m**3 - 3*m**3 + (m + 4*m - 3*m)*(3*m**2 - m**2 - 4*m**2) + 15*m**3 + 3*m**3 - 9*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/5 + (19 - (-12)\/(-48)*56)*-4?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 27\/2 of a gram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*3\/(-2 + 5) - -3. Suppose -u*c + 4*v + 327 = -v, 0 = 2*v - 6. List the prime factors of c.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - -50) + -1 + 4. What is the highest common factor of 20 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g - 2*g + 2*g)*(-28*g + 6 - 13 + 9) as t*g**2 + f + c*g and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -13. Sort b, 2, -2 in descending order.\nAnswer: b, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g**4\/15 - 94*g**3\/15 + 22*g**2 + 3216*g\/5 - 2952 = 0. Calculate g.\nAnswer: -41\/2, -15, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 5. Let z(f) = f**2 - 9*f**t - 1 + 2 - 2*f**2. Suppose 140*r - 132*r = -8. Determine z(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.69 - 0.59. Let h = -3.3 + u. Let i be (0 - (-1)\/5)\/(-1). What is the closest to h in 4, i, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10399178 to the power of 1\/2, to the nearest integer?\nAnswer: 3225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) -57\/5 (c) 43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssznsssssnnzsss. Give prob of sequence nzn.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 544182 and 138?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 6:12 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/24)\/((-1)\/4). Let u = -0.5 + 0.3. Suppose 18 = -s + 5*h, 0*s - 5*s + 4*h = 6. Which is the closest to u? (a) 3\/7 (b) w (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u - 9*u**3 - u - 2*u**4 + 56*u**2 + u**4 - 58*u**2 to q + b*u**2 + j*u**3 + p*u**4 + w*u and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/1442462 and -113\/588.\nAnswer: 8654772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-40)\/(-18) + 8\/(-36). Suppose 0 = 5*s - 23 - c. Suppose -s*m - 15 = -0*m. Put m, 2, 4 in decreasing order.\nAnswer: 4, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -106 - -106.07. Put -3\/2, 2\/17, -2\/27, s in descending order.\nAnswer: 2\/17, s, -2\/27, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 156\/(-21) - (-1 + 68\/119)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 g when three letters picked without replacement from bvgggbgbgbbbbbggbbg.\nAnswer: 280\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -12*b**2 - 36*b + 171. Determine l(3).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) - (sqrt(1539)*1 + sqrt(1539) + sqrt(1539) + sqrt(1539))*-3)**2.\nAnswer: 260091","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 500 is divided by 96.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**5\/2 - 5652*q**4 + 1962666*q**3 + 16953*q**2 - 11753415*q\/2 - 3925341 = 0. What is q?\nAnswer: -1, 2, 387, 3381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.111 - -139.889. Let w = g + -137.7. What is the smallest value in -2, w, -2\/13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 37*m**3\/2 - 51834*m**2 + 72606825*m\/2 + 5888403 = 0.\nAnswer: -6\/37, 1401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 97501289 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + b**2 - 2*b - 2. Let u(n) = n**3 - 19*n**2 - 40*n - 20. Let h be u(21). Suppose 0 = 27*p - h*p - 3*g + 1, -3*p = -g + 3. What is a(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 720 is divided by 36.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3 - 2439*d**2 - 482040*d + 5601552.\nAnswer: -3*(d - 11)*(d + 412)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 2:36 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjafjijfjaqjjqjjjq. What is prob of sequence jaai?\nAnswer: 11\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -37.038 to 1 dp.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 669894811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 420 + -163. What are the prime factors of y?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3229*v + 5360*v - 5502*v.\nAnswer: -3371*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/1 + 5 + -2. Suppose -3*f = i - 26, -3*f + c*i = 2 - 3. Suppose f = w - 7. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 855*a + 5384 + 521 + 2252 - 462 = 0 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of 4 - 4*w - 5\/4*w**5 - 60*w**3 + 50*w**2 + 95\/4*w**4. Factor a(t).\nAnswer: -5*(t - 10)*(t - 1)*(5*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j - 4*j + 2. Let w(y) = y**3 - 2*y**2 + 4*y + 1. Let t(i) = i**2 + i - 1. Let s(x) = j*w(x) + 2*t(x). Calculate s(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -36, -1, 1.\nAnswer: -36, -5, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30835 + 30834.5. What is the nearest to 1 in 3\/2, -10, -3, h?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from fzfzvvvvfvvvf?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 9*l + 20. Suppose 3*n - 27 = 6*n. Let q be w(n). Suppose -2 = 2*p, -s - 5 + 20 = -5*p. Calculate the greatest common factor of q and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 130 and 21060.\nAnswer: 21060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 182*g**2 - 2848*g + 2848*g to the form m*g**2 + s*g + c and give m.\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 170 + -45. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 8171*r + 1. Let f(g) = -2*g. Determine f(n(y)).\nAnswer: -16342*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -290 - -279. List the prime factors of (0 + 5 + m)*-17.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 532678201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1310394 and 25143?\nAnswer: 1479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(6) + sqrt(726) + (sqrt(726) - sqrt(726)*1))\/(sqrt(33)\/(sqrt(11) + sqrt(176))).\nAnswer: 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.5 + 0.8. Let a = -0.73 - d. Let w = a + 3.03. Which is greater: w or -0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6980 - -7354. Calculate the remainder when c is divided by 38.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 4:48 PM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 8. Let f be 2*2 + 132\/(-30). Which is the nearest to f? (a) -0.4 (b) 0.5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4031764.\nAnswer: 2, 11, 91631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -41125 > -41125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 4 (c) -4 (d) 67673\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 719*q**3 - 7*q + 57?\nAnswer: 4314*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-10) - (-642)\/10. Suppose 112 = -5*f + v, -3*f - 3*v + 2*v = b. Let m = -10 - f. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 2\/11, 4, 192, 36, -1, -1\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*r = -o + 202, 0 = 2*o + 4*r - 210. Find the common denominator of (o\/5)\/(8 + -10) and 14\/105 + (-61)\/(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 82, -6375, -1 in increasing order.\nAnswer: -6375, -1, 82","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 15708 + -7860. Does 109 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46321, 185292, 416913, 741184?\nAnswer: 1158105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -1, 25, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 - -34. Suppose 34 = 4*p - p - 2*q, 4*p - 44 = 3*q. What is the highest common factor of p and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3893*v**3 - 780*v**3 - 783*v**3 - 763*v**3 - 772*v**3 - 776*v**3.\nAnswer: 19*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 100245695 to the power of 1\/4, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2732*x**5 + x**3 - 25413*x**2?\nAnswer: -163920*x**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 405, 399, 393, 387, 381, 375?\nAnswer: 369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 128250 and 342?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 8:11 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**4 + 4126*h**2*i**3 - 3*h*i**3 + 114*h*i - i**3 + i**2 wrt h?\nAnswer: 24*h**2 + 8252*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - -1 - (-14 + 12). Let u(p) = 61*p - 61*p - 16*p**2 + 58*p**q. Let a(t) = -t**2. What is a(u(x))?\nAnswer: -1764*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -0.4 (c) 3\/3682\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*d - 76*d = 48. What is the remainder when 31 is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.511 + 0.1\nAnswer: 9.611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/21 - (0 + 0). Which is bigger: d or -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a centimeter in micrometers?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -108393*n + 2276238. Give v(21).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 p when three letters picked without replacement from vpkvkvvvvvkvvvvkvvkv?\nAnswer: 91\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three tenths of a kilometer?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 2, 3 in decreasing order.\nAnswer: 29, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 20*l**2 - 56*l - 1. Let m(p) = -4*p**2 - 6 + 11*p + 5 + 1. Let g(x) = -33*m(x) - 6*o(x). Factor g(u).\nAnswer: 3*(u - 2)*(4*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of 1\/6*m**3 + 88 - 3\/2*m**2 + 2*m. Determine q(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 20*b**2 + 17*b - 77. Is f(-34) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 8*i**2 + 10*i + 8. Does 22 divide t(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78a9 (base 15) in base 10?\nAnswer: -25584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30791.1018 + -30788. What is h rounded to 1 decimal place?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -59c2 - 829?\nAnswer: -640b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 13736\nAnswer: -3\/13736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-1\/2))**(1\/12)*(q**(1\/3))**(18\/5)*q**2*q**(-3)*q*q**(-2)*q*q**(-2\/15)\/q assuming q is positive.\nAnswer: q**(-97\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*j + 8 + 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(1872) + sqrt(1872) + sqrt(1872)*1 - (sqrt(4212) - (sqrt(4212)*2 + sqrt(4212))))\/((sqrt(3600)*1)\/(1*sqrt(1089) + sqrt(1089))).\nAnswer: 4 + 396*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qkww. Give prob of sequence wqwk.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 934122265?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112 - 22212?\nAnswer: -100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2. Let y(p) be the third derivative of p**4\/8 - 7*p**2. Determine y(s(h)).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - -2. Does 2 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 519102 by 18.\nAnswer: 28839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -79*j - 3979*j - 1946*j to q*j + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7981.4313us?\nAnswer: 0.00000221706425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + (-5)\/2)*4. Let q = 1\/80 - 21\/80. What is the nearest to 0 in i, 3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15058877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of 6031*k**5\/20 - k**4\/12 + k**3\/6 - 621*k**2\/2 + 10*k - 765. What is the third derivative of w(f) wrt f?\nAnswer: 36186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 4)*(2 - r**3 - 2) - 2*r**3 + 2*r - 2*r - 657*r**3 + 38*r + 40*r - 2*r**2 - 78*r.\nAnswer: -658*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2310221225 - 1.7.\nAnswer: 2310221223.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -67*x**2 + 1905*x + 7648. Calculate w(-4).\nAnswer: -1044","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 441761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*f - 10 = f, -f = -4*v + 15. What is the remainder when 14 is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (248\/1 + -5)*1. Let w be (h\/(-90))\/(36\/(-15)). What is f in -3\/8*f**3 - w*f - 3\/2*f**2 + 0 = 0?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a kilogram in milligrams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**3 - 5*m**2 + 4*m + 3. Let v be a(-4). Suppose -2*s + 4*s - 4*l = 26, 0 = -3*s + 5*l + v. Solve 5*n + 3*x = x + 10, 0 = -s*n + 4*x + 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (319\/143)\/(29\/(-377))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12573, 94769, 316211, 746523, 1455329, 2512253, 3986919, 5948951?\nAnswer: 8467973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 233067?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-1) - (-3379)\/109. Let s = -6 - -10. Suppose 5*h - 5*i - 35 = 0, h + 3*i = -0*h - 9. Solve 0 = s*q + h - o for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 l when two letters picked without replacement from {l: 1, u: 1, f: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, o: 16}. Give prob of sequence oog.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 101*s - 15114. What is c(151)?\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 - (66 + (-7 - 75)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 500000*w**3 + w**2 + 4*w + 3. Let p be 2\/(-4) - (-25)\/(-10). Let b be d(p). Round b to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -4*k - 69, 2*k - 3*k - 14 = 4*j. Let u = -17 - k. Let a(i) be the second derivative of 2*i**5\/5 + i**4\/12 - i**2\/2 + 3*i. Give a(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/4 + 1\/2. Suppose p = y - 0*y - 233. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 - (-45 - -89 - (5 + 17)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20897 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3\/7, -3, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k + 5*k - 235. Let b = k + 51. Suppose b = g + g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2677, -2957, -3429, -4099, -4973, -6057?\nAnswer: -7357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12220435 divided by 23729.\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-59)\/177*(-100)\/15. Is k > 0.21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1406872.53s?\nAnswer: 16.283246875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, i: 1, k: 1, l: 1, b: 1}. Give prob of sequence lb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 4*w = 22, -47*w = -p - 52*w - 23 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -398, -421, -444?\n\"Answer: -23*x - 375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-17)\/((-136)\/45672) + -1 + 5\/1?\nAnswer: 29, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3)*(i + 0*i - 2*i) + 5 - 5 - 10*i + 69 - i - 69.\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**4 - 6*d**3 + 6*d**3 - 16*d**4 - 13*d**4 - 3*d**4 + (4 + 1 - 3)*(-2*d**4 + 2*d**4 - d**4))*(3*d - 5*d + 3*d).\nAnswer: -31*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (9 + 13) - (-3 - 1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1063*m*n**2 - 6*m*n + 390946*m + n wrt n.\nAnswer: 2126*m*n - 6*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (28*b**2 + 0*b - 15*b**2 - 7*b)*(7*b**2 - b**2 + 2*b - 2*b**2) to the form u*b**4 + s + r*b**3 + m*b**2 + q*b and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(4 + (sqrt(208) - sqrt(13))*1)*4 + -4 + -1 + sqrt(65)\/(-2*sqrt(5)*-6))**2.\nAnswer: 13225*sqrt(13)\/2 + 4983709\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1457 and 124.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 49 + 514*w + 24.\nAnswer: 514*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**2 + 3*p - 3*p + (-67 + 67 + 39*p)*(-2*p + 3*p - 2*p).\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 27. Let z(o) = -o**3 + 8*o + 7 - o**2 + 2*o**3 + 7*o**2 - 2*o**3. What is the remainder when c is divided by z(7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0166138 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2012211 + 0?\nAnswer: 2012211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-4)*(2 - -2). What is the remainder when 2 + 225\/((-35)\/(-7)) is divided by (-2 - k - 0) + 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 608?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/3 or -145124624?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - -55. Suppose j = 3*s - 87. List the prime factors of s.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -33 in -0.5, -1487, 0.2, -2, 2, -2\/19?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, g: 5, m: 3, w: 1, i: 1, z: 6}. Give prob of picking 1 m, 1 n, and 1 i.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -880 = -1148*m + 1140*m. Calculate the lowest common multiple of m and 99.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**2. Let r(y) be the second derivative of -4*y**3\/3 + 11*y**2\/2 - 31*y - 14. What is s(r(k))?\nAnswer: -128*k**2 + 352*k - 242","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a kilogram in grams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1988 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - -31791874780.\nAnswer: 31791874765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v - 2. Let a = -15 + 12. Let r be i(a). Suppose -r*u = -2 - 18. Solve 2*o = u*o + 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-6)\/(-99) + (-423)\/282*208\/(-11).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 2*q + 340 - 238 = 0 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 858870*x**5*z - x**3*z**3 + 24*x*z**2 + 57983*z**3 wrt x.\nAnswer: 17177400*x**3*z - 6*x*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -61 + 2?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.34 and 3936?\nAnswer: 1338.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 86, 151, 234, 335?\nAnswer: 454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4404 and 4392.\nAnswer: 1611864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 37*t - 167. Does 4 divide a(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 12.86 (b) 5 (c) -45 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 187*l**2 + 9*l - 19. What is the remainder when c(2) is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(99) - (-2*sqrt(99) - sqrt(99))))\/(sqrt(405)\/sqrt(5) - sqrt(9)))**2.\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 77 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*p + 20531 - 3395. Suppose 2*f = 6*f + 2*t - 2856, -p = -2*f + t. What is the hundreds digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 44\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c2014 - 8?\nAnswer: c200a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 21*d**2 + 8784*d + 2508 = 0.\nAnswer: -418, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -7*p**2 + 1297*p + 36331. Determine y(210).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**4 + 3*n**4 - 2*n**4)*(5 + 2 + 2) + 0*n**4 - 3*n**4 + n**4.\nAnswer: 25*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -150220836 divided by -6.\nAnswer: 25036806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -49 smaller than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and -190.\nAnswer: -190.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*c - 12 - 120 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 176*c**2. Let p(u) = 42*u - 1 - 7 - 39*u + 8. What is i(p(l))?\nAnswer: 1584*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 652261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/11 - 16000*v\/11 - 1276482\/11.\nAnswer: 2*(v - 8079)*(v + 79)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-4 + (sqrt(720) - sqrt(720)*1))*-3)**2.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2275 + 880. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 972150 * -0.5\nAnswer: -486075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 99\/15 + (-6)\/10. Let w be 1\/(-3)*-3*3. Suppose 2*i - w*x - 5 = 0, k*i - 2 = 2*i - 2*x. Put i, -4, -3 in decreasing order.\nAnswer: i, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8243501 and -0.5.\nAnswer: -4121750.5","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144*x + 16*x**2 + 2*x**2 - 38*x**2 - 2.\nAnswer: -20*x**2 - 144*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22348, -21018, -17412, -10390, 1188?\nAnswer: 18462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211*i - 143*i - 52360 = 0. What is the least common multiple of 231 and i?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2 = 8. Let i = y - -45. Is 2\/(i\/(-45) - -1) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*z**4 + 83*z**3 - 96*z**2 + 3*z + 77974696 wrt z.\nAnswer: 8*z**3 + 249*z**2 - 192*z + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-12) + 6\/8. Let z(r) = -r**2 + 4*r - 4. Suppose 0 = -j + 2*u + 1, 2*j = -3*j - 3*u + 18. Let s be z(j). What is the closest to -1\/3 in -4, d, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-3)*(-27)\/(-18). Suppose -c*z + 3*z = -5*d + 11, d + z = 1. What is the closest to 6 in -2, d, -0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*l - 40*l = -2*i - 14, 6*i + 42 = l for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 10. Suppose -27 - 21 = -l*a. Calculate the remainder when 47 is divided by a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three eighths of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 134*c**2 - 9*c**3 - 134*c**2 + 10*c - 10*c - c**3 + (2*c + c - 2*c)*(3*c**2 + 0*c**2 - c**2).\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(684)*5 + -1) + (1*sqrt(684)*-3)**2*-6.\nAnswer: -36939 + 90*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-7))**26\/(a\/a**(-1\/5)*a\/a**(-16\/5)) assuming a is positive.\nAnswer: a**(-937\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7395433 and 1135?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 - -9929. Suppose -4*c = -4440 - s. Round c to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millimeter in micrometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**2 - 6*b**2 + 0*b**2)*(-104 + 73*b**2 + 253 - 134).\nAnswer: -219*b**4 - 45*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jgzieggzg. What is prob of picking 1 e and 2 z?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 4 = 0, 260 = 334*m - 348*m - 4*x for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 97654 - -14167. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 3 - 0 - (0 + -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 4818.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -533.\nAnswer: -5\/533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x = 366 - 310. Solve -x*c = -7*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19170377 is divided by 67.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (22 - -5)\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5328690.\nAnswer: 2, 3, 5, 177623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -73118, 51 in decreasing order.\nAnswer: 51, 0, -5, -73118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + c**2 + c**3)*(6 + 0 - 4) + (0*c - 2*c + 0*c)*(1 - 1 + 2*c**2) + 0*c**3 - 7*c**3 + 6*c**3.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 7*g**2 + 4*g - 2. Let i be t(7). Suppose 3*r = -20 - 46. Let z = r + i. Let c(v) = -2*v - 3. What is c(z)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 2609 = 908. Let t = -269 - -319. What is the remainder when g is divided by t?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 0.0056?\nAnswer: -2.0056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1594 is divided by 94.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -491\/2? (a) -14\/5 (b) -0.3 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -53526\/35 - -1528. Let b = k + 709\/140. Factor 9\/2 + b*l - 3\/4*l**2.\nAnswer: -3*(l - 6)*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + 4*z**2 - 6*z**2)*(-5 + 247256*z**2 - 247245*z**2 + 8*z - 1).\nAnswer: -33*z**4 - 24*z**3 + 18*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -395*p**2 + 439790*p - 611600.\nAnswer: -5*(p - 1112)*(79*p - 110)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 0*a + 0*a - 2 - 2*a - 2. Suppose 2*s = -2*x - 16, -x = -4*s - 10 - 7. Let b(k) = -2*k - 3. What is s*b(u) + 4*h(u)?\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*m**3*n**2 + 260*m**3*n + 6396*n**2 + 4*n wrt n?\nAnswer: -4*m**3 + 12792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 600967\/38772 + -1\/38772. Suppose -65 = -5*w + 155. Calculate the common denominator of j and -1 - 0 - (-86)\/w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2606 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284 is divided by 132.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (0 - 2) - (-9)\/1. Factor 4*b**3 + l*b**3 + 8*b - 14*b**3 - b**4 + 0*b**4 + b**5 + b**2 + 4.\nAnswer: (b - 2)**2*(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/60*(-1196)\/(-13).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 10332.\nAnswer: 41328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 42\/84*4\/6. Let y = 2339\/8 + -292. Let s = -157\/489 - 2\/163. Which is the closest to -0.1? (a) y (b) q (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/6*15\/(-2). Let x be 2 + 0 - (-2)\/1. Suppose 8*u + 20 = x*u, 0 = -2*m - 2*u - 4. Solve -3*a - z*v + m = -18, 0 = 4*v - 12 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(196) + sqrt(196))\/sqrt(4))\/sqrt(7))**2 - (sqrt(147)\/(1*sqrt(3)))\/sqrt(7).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b + 4*i - 41 = 6*b, 0 = 3*b - 3*i - 27. Let s(r) = 2*r + 15. Let d(g) = 5*g + 44. What is b*s(u) - 4*d(u)?\nAnswer: 2*u - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 7 = 2*t - 2, -t + 3*o - 1 = 0. Solve 0 = -x - t*x - 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 7 = -2*h + 41, -x = 5*h + 48. Let a = 29 + x. List the prime factors of a\/5 - (-357)\/15.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1245.79 - 1240. Let d = y - -0.61. What is d rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12*48\/9 + -1. Let d = -44 + a. Let b = 31 - d. Solve b = -2*f + 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45*b**2 - 84835*b - 18850.\nAnswer: -5*(b + 1885)*(9*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, u: 3, s: 2, x: 3, d: 1, k: 1}. What is prob of picking 1 s, 1 d, and 2 x?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 380621107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-6)\/l**(-3)*(l**15)**34 assuming l is positive.\nAnswer: l**507","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 398581979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/1777 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 633, 562, 487, 408?\n\"Answer: -2*t**2 - 65*t + 700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 5*a**2 - 8*a - 9. Let r be -3*(2 + (-30)\/9). Suppose -3*c = -6*c + r*u - 34, 0 = 4*c - 5*u + 44. What is the units digit of q(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -50 + 58. Let c(n) = n**2 + v*n**2 + 1 - 39*n + 6. Is c(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 74*v + 36. What is q(3)?\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - 364532.\nAnswer: -364532.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -1322531\nAnswer: -3\/1322531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7\/(-21) - (-2)\/6. Suppose 0 = 4*z - o*z + 8. Let p be 2*-2*1\/z. Solve p + 1 = -r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-95)\/(-16))\/(((-17)\/119)\/((-8)\/70)).\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of 0*k + 0*k**5 + 73\/6*k**3 - 131*k**2 + 0*k**4 - 77\/60*k**6 + 0. What is the first derivative of o(q) wrt q?\nAnswer: -462*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.61687 - -0.18313. What is the closest to u in -5, 13, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 2*v - 5*w, 5*v + 3*w + 3 = -7 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 313439*h**3 + 4*h + 280 wrt h.\nAnswer: 1880634*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -241?\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31317 + 46303. Let u = y - 329611\/22. Let r = -132\/95 + 1877\/380. Find the common denominator of u and r.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.62 - 545.38. Let r = s - -548.773. Round r to two decimal places.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -4*p**3 - 3*p**2 - p - 4. Give c(3).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -5156?\nAnswer: 5161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 9, a: 3}. Give prob of sequence daa.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -259*m**3\/6 + 99*m**2\/2 + 142*m + 219. Let n(v) be the first derivative of y(v). What is the first derivative of n(t) wrt t?\nAnswer: -259","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 591, 1189, 1793, 2403, 3019, 3641?\n\"Answer: 3*h**2 + 589*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -6 + 3*u + 4 - 6 - 2. Let a(h) = h - 3. Let b(l) = 7*a(l) - 2*t(l). What is b(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by -1033947.\nAnswer: 2\/114883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4440773.\nAnswer: 4440773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-57)\/(-6) - 4) + 3 - (-15)\/(-10). Solve 3*a = -y - 8 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 1 = -d. Let o be ((24\/3)\/2)\/d. Suppose -o*c - 9 = -1. Let k(i) = -i**2 - i - 1. What is k(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g. Let q(r) = -15*r - 13*r + 11*r. Calculate q(n(y)).\nAnswer: -17*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + 2. Let q(l) = -l**2 + 7*l - 5. Is q(x) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(1\/7)*n)*n)\/(n\/n**(-6)))\/(n**(-2\/3)*n)**(2\/27) assuming n is positive.\nAnswer: n**(-3497\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -9*y. Let o(i) = -13*i. Let d(c) be the first derivative of 7*c**2\/2 + 8. Let m(j) = -7*d(j) - 4*o(j). Determine 8*m(u) + 3*q(u).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from irqooozzii. Give prob of picking 2 z, 1 r, and 1 q.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319218?\nAnswer: 2, 3, 83, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {o: 4, l: 2, x: 3, n: 1, p: 7}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**4 + 2*v**4 + 0*v**4)*((-3 + 1 + 3)*(-v + 2*v + v) + 0*v + 2*v - v).\nAnswer: 3*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3310 - -27921.\nAnswer: 31231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2700 from 0.120121.\nAnswer: -2699.879879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/1*177\/708\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 5*d. Let b(t) be the third derivative of t**5\/60 + t**4\/2 - 62*t**2 - 4*t. Give z(b(f)).\nAnswer: 5*f**2 + 60*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 632129 is divided by 84?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) 2 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k. Let d(n) = -18*n + 69. Let c be d(5). Let p(r) = -6*r. What is c*i(g) - 6*p(g)?\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -70*i**2 + 59*i**2 - 2*i**3 + 5*i**4 - 3 - 3*i**4 + i to the form n*i + y + x*i**3 + z*i**4 + j*i**2 and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(-9) - -2) + (-18 - (-315)\/27). Put 4, g, 1, 3, -46 in decreasing order.\nAnswer: 4, 3, 1, g, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24924*f**3*l**2*w - 21*f**3*l - f**2*l*w + 22*f**2*w + 3*f*l*w + 4*f*l + 161*l**2*w wrt f.\nAnswer: 149544*l**2*w - 126*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, v: 10, r: 2, s: 2, d: 2}. What is prob of sequence ds?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2100806*w**3 - 183594*w**2 - 1?\nAnswer: -12604836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e8784 + 6d?\nAnswer: e8802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*p + 3097 = 2*c, 3*p - 7695 = -5*c. Is 24 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -151*y + 8. Determine l(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -36034559 divided by 2627\nAnswer: -13717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b + 1. Let x(n) = -32*n - 3. Let m(g) = x(g) - 3*y(g). Let k(t) = -71*t - 11. Let j(p) = -2*k(p) + 5*m(p). What is the units digit of j(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 162, 0.06, -70, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 981128016 a multiple of 242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that s**4\/3 + 21225*s**3 - s**2 - 191027*s\/3 - 42450 = 0.\nAnswer: -63675, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**2 + l**2 - l**4 + 6*l**4)*((3*l - 5*l + 3*l)*(-4 + 0 + 5) + 2*l + 5*l - 5*l).\nAnswer: 15*l**5 - 9*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 316 divide 4536180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 8*f**2 + 4*f**2 - 15*f**2 + 12*f + 9*f**2. Let y(x) = x. Give -i(s) + 12*y(s).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 107130111?\nAnswer: 642780666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -788597 or -788596?\nAnswer: -788596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iocjjjcxicccciicixx. What is prob of picking 1 x, 2 i, and 1 o?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10.4? (a) -1 (b) 2\/13 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 5*x - 4*x**4 - 611*x**3 + 608*x**3 - 6 + 1 to b*x**3 + n + u*x**4 + w*x + v*x**2 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34 by 71.\nAnswer: 34\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81 + 222 - 43 - 51 - 47 + 47*m.\nAnswer: 47*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 2. Let p(y) = -y**3 + 4*y**2. Let g be p(t). Suppose g = -d + 2*d. Which is the second smallest value? (a) -2\/5 (b) 4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n. Let x(h) = 1 - 3*h**2 + 3 - 4. Calculate f(x(g)).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39918*i + 798 = 39804*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {q: 7, f: 6}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242458?\nAnswer: 2, 121229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((14\/(-21))\/2)\/(1\/(-1839)) is divided by 33?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 2*a - 8 = 0. Suppose 4*u - 5*j = -49 + 8, 0 = -u - a*j - 26. Let c = u + 21. Calculate the greatest common divisor of 56 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/3, 0.03, -4\/9, -0.5, 0.414?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -7340 and -7389 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/122 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 3*d**2 + 4*d - 8. Let l be b(3). Suppose 0 = 3*c + 3*q - 510, -3*q + q = -l*c + 710. Calculate the highest common divisor of c and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 4*w**2 + 1983544*w + 245902924996 = 0.\nAnswer: -247943","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46468924 is divided by 234?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*w + w + 6, w - 2*p = 7. Solve y - 2*y = w for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41 and 369.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 - 10577*s + 10582*s - 35.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 21 = -99. Suppose -7*c = -11*c + n. Suppose 29 + 7 = c*j. What is the greatest common divisor of 54 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 374075083.\nAnswer: 374075083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 4:37 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/18*(0 - -3). Solve 0*d + 2 = y*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8890849 + -3?\nAnswer: -8890852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2. Let h(v) be the second derivative of v**5\/60 - 3*v**2\/2 - v. Let a(k) be the first derivative of h(k). Determine u(a(d)).\nAnswer: -d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r**3 + 2*r**4 - 3*r**3 + 2*r**3 + 19*r - 17*r + 2 to the form u*r + v*r**3 + s*r**4 + q*r**2 + f and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of k**2\/2 + 30*k - 31. Let a be n(-25). Suppose a*g - g = 3*g. Sort g, 5, -4 in decreasing order.\nAnswer: 5, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30395 and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 260 - 260.1. Let z(l) = -2*l - 3. Let y be z(-3). Sort i, y, -1, 2\/19 in descending order.\nAnswer: y, 2\/19, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1528, -2, 6, 4, -4, 2 in descending order.\nAnswer: 1528, 6, 4, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*l = -26, l = 3*a + 2*l - 39. Calculate the highest common divisor of a and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/9 - 1455142*b\/9 + 2910260\/3.\nAnswer: 2*(b - 727565)*(b - 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3171*k + 2*k**5 - 3171*k - 128*k**3 - 126*k**4.\nAnswer: 2*k**3*(k - 64)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 6*b + 3, -4*t - 5198395 = -5*b. Round t to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/11, -2, -0.3, 7, 11\/293?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 - 32*h - 260.\nAnswer: 4*(h - 13)*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 6.9. Suppose 5*s + 2*q = 54, 45 = -17*s + 21*s + q. What is the third biggest value in s, 0, -0.1, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of -m**4 + m**2. Let r(i) be the second derivative of 0*i**2 + 1\/3*i**3 - 213*i + 0. Determine r(n(v)).\nAnswer: -48*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 13359, 26735, 40107, 53475, 66839, 80199?\n\"Answer: -2*b**2 + 13382*b - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46718343?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**2 + 1824 + r - 1824 + r**3 + (3*r - r - 4*r)*(4*r**2 - r**2 - r**2) + 8*r - 37*r**3 - 8*r.\nAnswer: -40*r**3 + 2*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 375 and 1750.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 - 8*p - 8. What is the units digit of l(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/21*84\/18. What is the second biggest value in 0.5, -3, m?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-22\/7)*q*q**(2\/25) assuming q is positive.\nAnswer: q**(-361\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 4*g - 476 + 1006, 4*g = -g + 50. Let j be -6*(2 - (-52)\/(-6)). What is the greatest common factor of t and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18*h**2 + 385256*h + 4141233 wrt h.\nAnswer: -36*h + 385256","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 10*f. Let y be m(-11). What is the greatest common factor of 121 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 136 + -136.9. Which is the biggest value? (a) d (b) 0.5 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -64, -184, -412, -784, -1336?\nAnswer: -2104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(1*(-2)\/2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**2*d**2 + 1428*a**2*d*z**3 - a*d**2*z**3 + a*d**2*z - 10*a*d*z + 50*a*z**3 wrt a.\nAnswer: -4*d**2 + 2856*d*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and -2648112021987.\nAnswer: -2648112021987.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1285 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2281*r + 42 = -2276*r + 3*x, x = 6*r - 32 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29498 and 3087?\nAnswer: 265482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 292119 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*j - 29*j - a = -10, 5*j - 3*a - 30 = 0. Calculate the remainder when 289 is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/19 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 4\/3*f + 2\/3*f**2.\nAnswer: 2*f*(f - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(3\/7)*s*(s*s**(-8)*s)\/s*s)**(-38) assuming s is positive.\nAnswer: s**(950\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7209 is divided by 2396?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -11*n**7\/210 + 11*n**4\/24 - 2*n**2. What is the second derivative of j(d) wrt d?\nAnswer: -132*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (-13 + -12)) + 24 + -13?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 3:00 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (39 - 13) + -25 + 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.218780409 and -2.\nAnswer: -1.781219591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 654766173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 1:46 PM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 5 (c) -2.4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aez when three letters picked without replacement from zealaua?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 f, and 2 s when four letters picked without replacement from fffoaafsffffofffsff?\nAnswer: 13\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/49*(-119)\/51?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 3 + 3. Let j = -1 + w. Differentiate -1 - j + 1 - q with respect to q.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-44)\/(-77) - 29536\/55216. Which is greater: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 27173 (b) 0.3 (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*7.8.\nAnswer: 70.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 117 + 154. Is f a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 5*m + 3. Let k be h(2). Let c be 1 + 2 - (1 + -2). Find the common denominator of 27 and ((-155)\/(-30))\/(k\/c).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1391 a factor of 14302585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 247759658.7239 + 0.5?\nAnswer: 247759659.2239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, r: 1, x: 1, p: 1, o: 1}. Give prob of picking 1 p and 1 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.268329 plus 7079?\nAnswer: 7079.268329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-501)\/(-6)*(-5)\/10. Let r be 2242\/(-56) - (-6)\/(-3). Let x = o - r. Is x at least as big as 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1052 is divided by 66?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**2 - 2775*p + 4. Let r(l) = -2*l - 27. Determine r(u(g)).\nAnswer: 4*g**2 + 5550*g - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of a**5\/10 + 17*a**4\/12 + 7*a**3\/6 - 6*a**2 - 44*a. Let y be w(-8). Sort -2, 3, y, -6 in decreasing order.\nAnswer: 3, -2, y, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 267?\nAnswer: -267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157*z + 148*z + 391*z - 1132*z + 93*z.\nAnswer: -343*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 30714\/54*-1 - (-6)\/(-27). Let n = -340 - k. What is the remainder when n is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l + 147 = 12*l + l. Solve l*u = 53*u - 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2348 and 7010.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**2\/(g\/(g\/(((g*g**(-4\/11)\/g)\/g)\/g)*g*g))*(g**1)**44 assuming g is positive.\nAnswer: g**(554\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -362 + 5?\nAnswer: -354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -194346 (b) 5 (c) 3 (d) 21 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4415 is divided by 2204.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 25\/((-275)\/(-132)) + (0 - 6). Solve -33*s + 35*s = m for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 38, 79, 118, 155, 190, 223, 254?\n\"Answer: -h**2 + 44*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 822192628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6717890*y + 20153386*y - 6717748*y - 6717747*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**2 - m**2 - 4*m**2 - 3*m**2 - m + m + 2*m**2 - 3*m**2 + 3*m**2 + 4*m**2 - m**2 - m**2 + (-1 - 1 + 3)*(4*m**2 - 3*m**2 + 0*m**2) - 3 + 3 + m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 5*x**2 - 5*x + 44. Let v be p(5). Suppose -m - 90 = -6*m. Which is bigger: v or m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, c: 1, o: 2}. Give prob of sequence co.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o - 4*n - 434 + 444, -6*n + 60 = 3*o for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -4*s - 16. Let v(h) = 194*h - 280. Is v(s) a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3617, 3646, 3675, 3704?\n\"Answer: 29*i + 3588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 3*f + 738. Let l = 673 + f. Is 8\/36 + l\/9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9\/10 of a millennium?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(10\/13)\/z)\/z*z**13)\/(z**(-4\/9))**(-1\/11) assuming z is positive.\nAnswer: z**(15095\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0397468569 rounded to 5 decimal places?\nAnswer: 0.03975","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 133*f + 4894. Calculate n(67).\nAnswer: 472","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*u - 47 + 209 = -78. Solve -5*v - 21 = -4*a, -2 = -a - 7*v + u*v for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3767 + 3737 + 32 + (-1 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29163\/5 + 262507\/45. Determine u so that -2\/9*u**4 + 0*u - o*u**3 + 14\/3*u**2 + 0 = 0.\nAnswer: -7, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/36 + (5\/3 - -1). Solve z + 3*c + 2 = 0, -6*z - d*c = -z + 22 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 166?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-184))\/(2\/8*(-45)\/(-15)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 287988084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.14 - -0.36. Let s = 1 - y. What is the second biggest value in s, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -5*u + 120, 2*v - 59 = -3*u - 3*v. Let b = -41 + -54. Let d = 98 + b. Calculate the smallest common multiple of u and d.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 416\/1183 - 3\/7.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 5396*t - 86307. Give h(16).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 9) in base 5?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of m**3\/4 - 309*m**2\/4 + 31827*m\/4 - 23. Solve s(u) = 0.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -527254 or -527256?\nAnswer: -527254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 50*p - 334. Let m be y(-8). Let q(h) = -3*h**3 - 2*h**2. Give q(m).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.3, -166, 139.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*u**2 + 4*u + 5*u**2 - 6*u + 0*u)*(4*u + 19*u - 3*u).\nAnswer: 420*u**3 - 40*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.329968 kilometers in micrometers?\nAnswer: 4329968000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 3205*a + 1571*a - 27 + 1590*a + 30.\nAnswer: -44*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 71*z**5 - 8*z**4 - 38*z**3 + 164801*z wrt z.\nAnswer: 1420*z**3 - 96*z**2 - 228*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeeeeeheehheeee. What is prob of sequence ee?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from {g: 2, f: 7, j: 2}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 881.6749 milligrams in kilograms?\nAnswer: 0.0008816749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - 7*m + 4. Let o = 56 - 51. Suppose 3 + 52 = -o*k. Let a = 3 + k. What is b(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -567 - -1634\/3. Find the common denominator of u and -11\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((18\/(-15))\/(284\/4402))\/((-2)\/(-10))?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (87\/(-12))\/((54\/(-432))\/(4306\/4)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8416?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - 1 - 11\/7. Let b = 2.97 + -3. Let i = b + 0.13. What is the closest to -1 in i, 1\/6, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -97, -3, 2, -1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (2 + (-4)\/(-4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.7544 - -5.1837. Round r to zero dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*f = -41*f - 49 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -11*k**2 + 4*k - 11. Let f(x) = -5*x**2 + 2*x - 5. What is 13*f(d) - 6*s(d)?\nAnswer: d**2 + 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -771 and -2352?\nAnswer: 1813392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 18905163, 37810330, 56715487, 75620628, 94525747, 113430838?\n\"Answer: -v**3 + v**2 + 18905171*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + (-3)\/(6\/(-4)). Let d = 115 + -112. Suppose 3*o + 9 = 2*r, 2*o - 2*r = d - 11. Which is the closest to o? (a) 2\/3 (b) g (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 7*y + 3. Let f be x(-7). Suppose 2*c - f = c. Suppose -c*z = -a - 13, 2*z - 1 = -5*a + 2. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 760*j**3 - 379*j**3 - 378*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 106640*p + 319888. Determine r(-3).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -0*s - 12. Let j = 7.3 + -7. Let y be -2*(-3)\/30 - 0. Sort j, y, s in increasing order.\nAnswer: y, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 - (-8 + -29) - -17?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -r - 287, 3*n + 0*n = -3*r - 846. Let p = r + 397. What is the highest common divisor of 76 and p?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31.9 + -12.2. Let o = v - 20. What is the closest to o in 0.4, 4\/5, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 23*g - 13. Let r be k(-12). Let u = 1070\/9 - r. Which is the nearest to -1\/4? (a) 7 (b) 1\/2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**3 - 140556*v**2 + 3652572*v - 6742944 = 0. What is v?\nAnswer: 2, 24, 46826","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**2 - 28*x + 1. Let o be m(-13). Determine q so that -31*q + q**4 + o*q**2 + 12 - 12 + 7 + 0*q**3 + 5 - 9*q**3 = 0.\nAnswer: 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 242*b*l*r**2 + 2*l*r**2 - 17*l - 2*r**2 wrt b?\nAnswer: 242*l*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1963 - 1351. What are the prime factors of n?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z - 27. Let q be b(-30). Find the third derivative of 185*x**2 - 12*x**2 + 165*x**3 + q*x + 2*x - 5*x wrt x.\nAnswer: 990","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/2495? (a) 1\/4 (b) 156 (c) -1\/3 (d) -16 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 10*a + 9. Let s be u(7). Let j = -10 - s. Solve 2*n + j*f - 4 = 0, -f + 8 = -5*f for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -0.9 (c) 1\/3 (d) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 364.83809 rounded to the nearest ten?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000051321 rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*b**2*l*s + 392151*b**2*s**2 - 26*b*l*s + 13*b*l + 6*b*s**2 - 4*l*s + 2*s**2 + s wrt b?\nAnswer: 12*l*s + 784302*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (1 - (-3 + 3 + 2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 10934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 46 + -39 + (-3)\/(3\/4). Suppose -z*a + 5*p + 2611 = 0, -a + 897 = -p + 6*p. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 1:57 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -27181769 - -21?\nAnswer: -27181748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 59\/3? (a) 2\/7 (b) 1 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2127846 * -2\nAnswer: 4255692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (15 - 15) - -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(275))*-4)**2*5 + (-3 + -2 + -2*sqrt(275))**2.\nAnswer: 100*sqrt(11) + 23125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 i when two letters picked without replacement from {i: 1, a: 1, f: 1, w: 1, t: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 97 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**2 - 12*f + 27. Calculate k(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 j, and 1 o when four letters picked without replacement from {j: 3, o: 7, u: 1, z: 2, a: 6}.\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 5072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**3 + 2*t**2 - 2*t + 1. Let z(l) = -l + 10. Let r be z(8). What is the tens digit of n(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-4*sqrt(77) - sqrt(77))*-2)\/(sqrt(112) - (sqrt(112) - (3*sqrt(112)*-6 + sqrt(112)))).\nAnswer: -25*sqrt(11)\/34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2026230254 * -0.1.\nAnswer: 202623025.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -621650 + 41814 = -17*r. Let i = r - 16471. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.11118 - -126.67882. Round v to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 800126?\nAnswer: 2, 229, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 7:24 PM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**3 - h**2 - 3*h + 1. Let q be c(2). What is the greatest common factor of q and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/3 (b) -0.13 (c) -2\/279 (d) 165 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3884 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -730, -1464, -2198, -2932, -3666, -4400?\n\"Answer: -734*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1890769351.\nAnswer: 2687, 703673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(1125) + (sqrt(1125) - (sqrt(1125) + 2)) + -2).\nAnswer: -12 + 45*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*m - m. Suppose -3*q + q + m*k + 1 = 0, k + 21 = 3*q. Suppose 2*c - q = 18. Calculate the highest common factor of c and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(1 - (-210)\/(-207)). Let m be (-4)\/(k\/21 - -3). Suppose 26 = 2*f + 7*p - 2*p, m = f + 3*p. Is 5 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2.06 (b) 199 (c) 4 (d) -3 (e) -3\/5 (f) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8119\/86 or -95?\nAnswer: -8119\/86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 - -5)\/((-7)\/266). Suppose -2*l = 22 - 54. What are the prime factors of -24*(1\/(l\/n) + -2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 11) to base 3.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1457948.6 rounded to the nearest one hundred thousand?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**3 + 2*g**2 - 2*g**2 + (0 + 0 + g)*(4*g**2 + 0*g**2 + 16*g**2) + 1259*g**3 + 12 - 1249*g**3 - 8 to u*g**2 + l*g + c*g**3 + z and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 864 is divided by 113.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49 - 34. Let m = x + -12. Suppose 4 = m*s - 5. Solve -1 = -s*i + 4*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*a + 659 - 1433 = 730 for a.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 21 = -139. Let o = t + -51. Suppose -2*a + 270 = o*a. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m**3 + 18476*m**2 + 185460*m - 1388700 = 0 for m.\nAnswer: -15, 5, 4629","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from goooocgccddggog. Give prob of picking 3 o.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (28 + (-3)\/(-2)*-4)\/(5\/10). Let t be -15 + 499 + 0\/2. Calculate the highest common divisor of r and t.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-44)\/44)\/(7\/(-21))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**7\/((p**(-9)*p)\/p*p) assuming p is positive.\nAnswer: p**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1606081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 3:16 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 72088*g**2*m**3 + 5*g**2 + g*m**4 + 159*g - 9 wrt m.\nAnswer: 216264*g**2*m**2 + 4*g*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u + u + 2*u**4 + 10*u**2 + 2*u**4 - 9*u**2 + 1 to h + r*u**4 + d*u**3 + p*u + q*u**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-138)\/(-460))\/((-2)\/20).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**2 - 20*v + 1025. Let l be u(27). What is the greatest common factor of l and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*l + 8*l - 13*l)*(-20 - 2 - 1)*(4 - 5 + 3).\nAnswer: -276*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 148*p - 1120. Solve 0 = 2*k + m - p - 1, 3*m - 5 = 5*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/10*126*(10 - 3116\/287)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/(-12))\/((-8)\/1236). Let m = -48 - x. Suppose 7*i - m = 2*i. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 5*o**2 - 4. Suppose 2*s + 2*s + 20 = 0. Let j be p(s). Do j and -4 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 25*u - 19*u - 5*u - 4*u**2 + 8. What is s(-3)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3406\/455 + 16\/20)*7.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33359312 divided by -596.\nAnswer: -55972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, u: 4, h: 7, c: 2, f: 1, l: 4}. What is prob of picking 2 u?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/2 of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 9*s - 2*s)*(9 - 9 + 3*s).\nAnswer: 21*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1*(1 + (sqrt(847) - (5 + -1*sqrt(847)) - 3*sqrt(847)*-2)))**2.\nAnswer: -176*sqrt(7) + 54209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -123 (base 7) to base 3\nAnswer: -2110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 837469833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 4:35 AM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1584239776 to the power of 1\/3, to the nearest integer?\nAnswer: 1166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from {a: 6, c: 6, v: 1, q: 4, o: 1}.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3439038*s + 1542858?\nAnswer: -3439038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10166258.6 rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.18729l to millilitres.\nAnswer: 27187.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4128933707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 1956?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 3:55 AM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3158b1a + -5?\nAnswer: -3158b22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 + 16. Let f(t) = -2*t**2 - 2*t + 1. What is f(y)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of 0*c**4 + 3*c**2 + 0*c**3 + 7\/540*c**6 + 0 + 0*c + 2\/945*c**7 - 1\/504*c**8 + 1\/135*c**5. Solve p(d) = 0.\nAnswer: -1, -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 6 - ((2 - 2) + -5 + 9). Solve -i - y - 10 = v*y, i + 2*y = -5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of v**4\/6 - v**3\/3 + v. Let w be 1*6\/(-9)*3. Calculate the remainder when 34 is divided by f(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1959384 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*w - 18. Suppose -3*p + 5*d = -w, -2 = -0*p - 2*p + 4*d. Let j(q) = -3*q - 2*q + 2*q + 2*q. Let c(b) = 6*b. Give p*j(r) + c(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p - 4. Let j(o) = -4*o - 8. Suppose 3*f + f = 12. Let v(l) = f*j(l) - 5*s(l). What is v(3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3713 = 4*y - 763. Suppose 14*f + 5*o - 2226 = 12*f, -f + y = o. What are the prime factors of f?\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 192.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(125) + 1 + 2*sqrt(180).\nAnswer: 1 + 17*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -85, -4, 2\/9?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3\/316 - 6487\/948. Let q = -9\/89 - 2037\/979. What is the common denominator of t and q?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d\/(d*d**(-2\/11)\/d*d)))*d)\/d**(-2\/7))\/((d\/d**(-1))\/(d\/(d\/(d**(-5)*d)))) assuming d is positive.\nAnswer: d**(-349\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4022 a factor of 1071372316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 4*w**3 - w**2 - 6*w + 4. Calculate the smallest common multiple of u(2) and 7.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 709079 is divided by 109?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of m**6\/120 + m**5\/15 - m**4\/6 + m**3\/2 - 4*m**2. Give u(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -0.011, 12, -0.9, -4\/27, 2\/5?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/5 and (3 - 249\/24)*-2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5 - -1*(11 + -3). Solve f*s + 8 + 13 = -4*a, -5*a - 4*s - 27 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*b = 21, 0 = -5*s + b + 4*b - 10. Solve 0*o - 17 = 4*l - s*o, 17 = -3*l - 2*o for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302918133?\nAnswer: 3, 7, 14424673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-746)\/30 + ((-1)\/(-25))\/(3\/(-10)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*q**3 + 19*q**3 + 21*q**3)*(5*q + 20*q - 58*q).\nAnswer: -429*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -424 by 2.\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 502\/3 - 1729\/12. Calculate the common denominator of -41\/200 and u.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 10*l**2. Let w(c) = 1759*c**2 - 3515*c**2 + 1755*c**2. Determine w(z(y)).\nAnswer: -100*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13357*h**2*r**2*w**3 - 60*h**2*r**2*w**2 + 95*h**2*r*w**3 + 19370*h**2*r*w**2 + 2*h**2*r*w wrt w?\nAnswer: 80142*h**2*r**2 + 570*h**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - 6*r - 4. Suppose 2*o = 7 - 17. Give w(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/9 less than 27.62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 558684, 1117469, 1676254, 2235039, 2793824, 3352609?\n\"Answer: 558785*g - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*w - 10 = w, -16 = -4*w. Let k(x) = 2*x + 2. Let i be k(3). Let z be 269*i\/10 - m\/30. Calculate the greatest common divisor of z and 86.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3323*j + 1713*j + 805*j + 801*j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 808894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2 + 15*j. Let d be c(-7). Let k(v) = -9*v**2 + 5*v - 5. Let a(r) = 10*r**2 - 6*r + 6. What is d*k(p) - 6*a(p)?\nAnswer: 3*p**2 + p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 0*n + n + 779, m - n = 389. What is m rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2044298200 a multiple of 175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/6821202 and -76\/3.\nAnswer: 6821202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -7. Suppose -8*o + 186 = -r*o. What is the remainder when o is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 - 1 + 1)*(448334*i**2 - i - 13 + 66 - 448333*i**2).\nAnswer: -i**4 + i**3 - 53*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**10)\/(p\/p**(-10\/7)))**44)**(-25) assuming p is positive.\nAnswer: p**(-66000\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5*q + 41. Let k(b) = -b - 8. Let c(m) = -2*g(m) - 11*k(m). Let n = 9 - 7. Suppose 0 = 2*u + 2*u + n*u. What is c(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3793079903.\nAnswer: 9829, 385907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4))\/(2\/4)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4*i - 23 = 0, 2*d + 12*i - 9*i = 0. Let z = -8 - -13. Let l be z*1 + -5 + 3. Solve -d - l = -2*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4\/4 + 110011*y**3\/4 - 3025660035*y**2\/4 + 3025550025*y\/4.\nAnswer: -y*(y - 55005)**2*(y - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 12. Let b be h(0). Suppose -b - 1 = -c. Let y(p) = p + 2. Let t be y(0). Solve 5*i = 3*i - t, 4*o + i + c = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -1 - (-8 - 0\/2) is divided by (-78)\/78 - (-6 + 0\/2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 12, 5, -1, 1\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15 + 253641?\nAnswer: 253656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 24940.99 - -6.557?\nAnswer: 24947.547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2, -5\/32, 24, 21?\nAnswer: -5\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*a - 36 + 0*a + a + 6*a to u*a + k and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3*u - 117 = -27, p + 36 = -3*u. Does 14 divide (p\/(-6))\/(-7)*-6 + 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1089\/50 + -132497\/6150. Which is the second biggest value? (a) 5 (b) 0.2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 155.2 + -138. Let b = f + -8.1. Let r = 9.0999937 - b. Round r to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/14 + 10\/7. Let r = o + -1. Let w = r - 1. Is w >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, l: 5, i: 3}. Give prob of sequence la.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 16 in ascending order.\nAnswer: 3, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 5*h**2 + 8*h - 9. Let f be s(6). Suppose -3*l = -q - 43, f*l = -0*l + 5*q + 47. What is the remainder when l is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 474693343?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6492 is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 141 - 707\/5. Let v be (-312)\/16*(-8)\/(-6). Does o = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 72.136 - -4.184. Let s = 1.32 - y. Let p = -74.9999863 - s. Round p to 6 decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*r + 61*r + 23752 = 30499 for r.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 - g**2 - 3*g**2)*(g + 0*g + g)*(0 + 5 - 2).\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -655 + 1231. Is 36 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4*t + 140 = t, 0 = -2*p - 4*t - 70. Let c = 70 + p. Let m be ((-14)\/c)\/((-1)\/10). Solve -u + 3*x = 3*u + 7, 4*u - m*x = -4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dxk when three letters picked without replacement from dkx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*v + 130. Let y = v - 40. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3*-1*sqrt(17).\nAnswer: -3*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6243 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: Let s(d) = -2*d**2 - d + 1. Let x = 88 - 92. Let p(z) = -z**3 + 3*z**2 + z - 1. Let v(k) = x*p(k) - 5*s(k). What is the units digit of v(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -25\/71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**7)**(4\/5)\/(o**(-2\/31)\/(o\/o**(-11))) assuming o is positive.\nAnswer: o**(2738\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*-68*(-1 - 54\/(-24)). Is -2 < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.25 - 1.88. Let r = 0.03 + 0. Let d = w + r. Put d, 2\/9, -0.5 in increasing order.\nAnswer: -0.5, 2\/9, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3904 - -3902. Which is the second smallest value? (a) m (b) -4 (c) 0.09 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*d - 57 - 53. Suppose d*b + 2*b - 2316 = 0. What is the remainder when b is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x - 3. Suppose -20 = 6*r - r. Let y be z(r). Solve 0 = p + 6 - y, 0 = -5*k + 3*p for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131658 = 158*x - 274056 - 263820. Calculate the remainder when x is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 3:10 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 5250553.2 minutes?\nAnswer: 3646.2175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, u: 7}. Give prob of picking 1 u and 3 b.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3328, -14, 0, 5.\nAnswer: -3328, -14, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 137*u + 1855. What are the prime factors of b(67)?\nAnswer: 2, 3, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3663.2 - -3663.172205. What is v rounded to 4 dps?\nAnswer: -0.0278","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*b = 112. Is b a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4651 = -4455. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l - k, 2*l - 4*k - 29 = -41 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*g**2 + 51*g**2 + 55*g**2 + 53*g**2 - 218*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -259 - -269. Suppose 20*q = j*q + 140. What is the remainder when 181 is divided by q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 499*o + 2 + 528*o)*(o - 4*o + 5*o) to the form t*o**2 + x*o + f and give t.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/11)\/(-4) + (-2040)\/330?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5324730 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1443 + -2?\nAnswer: 1441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5abb (base 14) to base 5\nAnswer: -1001340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32845 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8588?\nAnswer: 2, 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1263053, 5 in decreasing order.\nAnswer: 5, -4, -1263053","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.94 - -8. Let z = -0.602 + 0.54. Let l = z + j. Round l to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ngffffnnfnffnffgffxx. Give prob of picking 1 n, 1 g, and 1 f.\nAnswer: 11\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -273, -1094, -2463, -4380, -6845?\nAnswer: -9858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 131992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2794055, 2794045, 2794029, 2794007, 2793979, 2793945, 2793905?\n\"Answer: -3*p**2 - p + 2794059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five quarters of a millennium?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y - 9 = 3. Let w(i) be the third derivative of 5*i**4\/8 + i**3\/6 + i**2. Calculate the remainder when 46 is divided by w(y).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, g: 8}. What is prob of sequence dgg?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 9*r**2 - 2255*r + 35507. Determine x(17).\nAnswer: -516","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -30 + 76*v - 12*v**2 - 32*v**2 - 9*v**3 + 13*v**3 - 6 = 0.\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75961 is divided by 9495?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3550 + 3550. Solve -i + 2*r - 4 = k, i - 3 = 2*i - r for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**2 - 4*v - 1. Let o be t(3). Let n = 78 - 42. Suppose -o*c + c = -n. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -12, -26, -46, -72, -104, -142?\nAnswer: -186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 21\/13, 2, -5, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7428929537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 3*o - 2*o - 76, 5*o - 68 = -2*m. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*t**5 + 14*t**5 + 16*t**5 + (4*t**3 + 0*t + 0*t)*(2*t**2 - t + t).\nAnswer: 48*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**27\/(y*y*y**30))**(1\/7))**(-6) assuming y is positive.\nAnswer: y**(30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 1. Suppose -3*b - 2*b + 21 = 3*x, -3*x + 21 = 2*b. Let z be (33\/165)\/(1\/15). Suppose -z*i - 16 + x = 0. Determine k(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(200))**2*-2.\nAnswer: -418 - 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**4 + 196708*f**3 - 3231033372*f**2 + 17832918482316*f - 1751177822511600 = 0. Calculate f.\nAnswer: 100, 16359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -143528 + 574127\/4. Determine y so that g*y - 3\/8*y**4 + 9\/4*y**3 - 9\/2*y**2 - 9\/8 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3822 = -18*u - 3696. Let i be (6\/(-8))\/(6\/(-4)). Let c = 0.3 - 0.2. Sort i, 3\/2, c, u in decreasing order.\nAnswer: u, 3\/2, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66499?\nAnswer: 66499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 28*h**2 - 7. Determine z(-28).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.098*-55\nAnswer: 5.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r = 5*d - 64, -2*d - 81*r + 82*r - 1 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 601250389 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27148 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -119*n + n**2 + 21 + 120*n + 21. Does 14 divide t(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 35 = 27. Let b(v) = -v**3 - 7*v**2 + 8*v - 7. What is b(y)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14 + 6?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -5*y**2 - 565*y - 4193. Determine d(-105).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 689797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 749 is divided by 75?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1360.7 - -1360.4. Which is the closest to 0.3? (a) 2 (b) y (c) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*w - 5*j, -5 = -2*w - j + 10. What is the highest common factor of w and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19360809, -19360806, -19360801, -19360794, -19360785, -19360774?\nAnswer: -19360761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 2:48 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 0 + 2 + m + 0*m. Let a be w(9). Suppose a*c - 12*c + 3 = 0. Solve o + c*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5237300 by 5.\nAnswer: 1047460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -17754 greater than -17752?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 8*s**2 + 11*s + 20. Let a be i(-9). Suppose -4*p = -a*w - 340, -3*w - 496 = -0*p + p. Is (-8)\/36 - (-2)\/((-36)\/w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1857*r - 1846*r - 66 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 + -37. Let v(d) = 57*d**2 - d. What are the prime factors of v(u)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2 + 74*t**2 - 2 + 139*t**2 + 4. Let n(j) = -2*j - 19. Calculate p(n(w)).\nAnswer: 852*w**2 + 16188*w + 76893","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2896900 rounded to the nearest 10000?\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 10*s + 6. Suppose z - 2*z = 0. Suppose -3*h = c + 3*c - 40, -c + 4*h - 9 = z. Find the common denominator of a(c) and -3\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1179578, 2359768, 3539960, 4720154, 5900350, 7080548, 8260748?\n\"Answer: y**2 + 1180187*y - 610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 3. Let l be 5 - (y + -2)\/1. What is the units digit of ((-2)\/3)\/(l\/(-9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m - 5. Let o be d(7). Suppose 0*s = 3*s - 9. Suppose 3*j = -4*p + 9, s*p - 18 = o*j + 10. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -4*z + 7 + 0*z - 3*z + 8*z**3. Let h(y) = 13*y**3 + 20*y**3 - 47*y**3 + 13*y**3 + y - 1. Let f be (2\/4)\/(9\/72). Calculate f*g(d) + 28*h(d).\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 108821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 12:32 AM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w. Let c = -457 - -458. Let s(l) = -c - 131*l**2 + 53 - 52. Give a(s(y)).\nAnswer: 131*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*s + 44*s - 1 + 5 + 57*s - 4.\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -70 + 8. Let t = -21 - v. Calculate the remainder when t is divided by (-13 - 1)\/(2\/(-3)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -48*q**5 + 124*q**4 - 324*q**3 + 1701*q**2 + 755*q + 3.\nAnswer: -2880*q**2 + 2976*q - 1944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.272? (a) 2\/3 (b) 0.29 (c) -702\/7 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 + -6c?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.463631 from 19039.303.\nAnswer: 19041.766631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 284477041.\nAnswer: 23, 47, 97, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 674.4404 milligrams to kilograms.\nAnswer: 0.0006744404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 17*g**2 - 10*g + 6. Let b = 40 - 57. Let c be y(b). What is the highest common divisor of 22 and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -1. Suppose n*l + 5 = 5*l. Let g = 3 + l. Is 2 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53431 - 17563. What is the hundreds digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17585 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2068620 is divided by 1034294?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 1:40 AM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 5*z - 65, 0 = z + 3*z - 5*d - 52. Suppose 2*s - 16 = -5*n + z, -5*s + 47 = 4*n. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 16*i**2 - 8*i + 103. Calculate k(-17).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1869 by -21.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 + -1.1. Let s = -0.6 + n. Which is smaller: s or 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t + 0*t - t)*((1 - t**2 - 1)*(-3 + 3 + 1) - 99*t**2 + 147*t**2 - 114*t**2) to the form x*t + j*t**3 + h*t**2 + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/2 and 9\/25?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3014 - 1?\nAnswer: 3013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g - 6. What is v(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-14)\/8)\/((-8)\/32). Solve 0 = -4*m + w*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5\/4 (b) -0.1 (c) 3650 (d) 122\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -5*l + 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -301 (b) 0.05253 (c) 8 (d) -5 (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000084497595 to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -223268 and -16102745.\nAnswer: -16326013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1081 + 1082. Let o = 319\/8 - 40. Which is the third biggest value? (a) t (b) 0.3 (c) 3 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(1 - 0) - -6. Suppose 2*x + 56 = 6*x + q*l, -4*x - 3*l + 56 = 0. Is 14 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000296942 rounded to five dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) -4 (b) -2\/1963615 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-3))\/i)**6\/(i**(-1\/9)*i**(-2\/3)*i) assuming i is positive.\nAnswer: i**(160\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(9\/(-3))*((-605)\/45)\/(-121)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1120934, -1120791, -1120646, -1120499?\nAnswer: -1120350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 378*y = -3*i + 373*y - 15, -2*i = -y + 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*w + 2*n + 2*n, -4*w - 20 = -5*n. Suppose w = s - 8 - 1. Solve -m = 2*m - 12, -3*l + s = 3*m for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 590*c - 9648. Determine k(-16).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 5*t**2 + 19*t + 14. Let g be d(-16). What is g rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (205 - 198)*(1 + -5 + 8\/14)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = z + 95. Suppose s + 6 = -10. Let r = s - z. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 10023313443?\nAnswer: 10023313434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 94*w**3 + 16*w**2 + 51*w + 9. Let d be p(19). Round d to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-5 + 217\/21)\/((-90)\/(-27))?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 552.6 + -789.9. Let g = -213 - d. Let z = 24 - g. Which is greater: z or -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 138*h**2 - 149*h + 5. Determine d(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tmt when three letters picked without replacement from {m: 1, t: 3, z: 4}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14276222.\nAnswer: 2, 137, 52103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -372 + 385. Let i(f) = -f**2 + 10*f + 43. Let j be i(v). Solve -2*l = -j*l - 2*g + 4, 3*g - 11 = -4*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9996 + 12115. Calculate the greatest common factor of 117 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/(-2) + 65\/(-13))*1. Suppose -21*o + 0*o + 16611 = r. Calculate the greatest common factor of o and 113.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -519 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**3 + c - 6*c - 7*c**3 wrt c.\nAnswer: -36*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/12)\/7*56\/140*-5?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43 - 2*s - 39 + 2)*(-3*s - 4 + 4).\nAnswer: 6*s**2 + 240*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -169*d**8\/336 - d**4\/8 - 143*d**3\/2 + 530*d**2 - 2*d. Find the second derivative of m(k) wrt k.\nAnswer: -3380*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 7*t + 5*t)*(-2 - 3 + 6)*(8 - 8 - 4*t).\nAnswer: -44*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-3))\/(2\/(-4)). Let o(b) = -b**2 + 0*b**2 + f*b**2. Let k(j) = -5*j**2 + 0*j + 0*j. Determine k(o(a)).\nAnswer: -5*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2953551 divided by -1059?\nAnswer: -2789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1653628 and 948.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-308 + 580 - 311)*(-3 + 0 + 0*z - z).\nAnswer: 39*z + 117","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 654 is divided by 133?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 13\/4 of a tonne?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1564724 (base 8) to base 16.\nAnswer: 6e9d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6, q: 5, c: 4, s: 5}. Give prob of picking 1 c and 3 q.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u**(-15)*u)*u\/u**(2\/17))**0)**47)**(-22) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 146 + 2173?\nAnswer: 2309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 9*k + 2*k)*(3 + 79*k**2 - 222*k**2 - 3 - 23*k + 10*k**2).\nAnswer: -1064*k**3 - 184*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2325274?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 74592 and 6660?\nAnswer: 372960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*i + 29 = 0, 29*a - 5 = 24*a - 3*i. Put -4, -1\/5, 6\/7, -14, a in increasing order.\nAnswer: -14, -4, -1\/5, 6\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 691.7 + -692. What is the third smallest value in c, 0.4, 1.45?\nAnswer: 1.45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -4*g + 1. Let v(k) = -3*k + 5. Determine -n(h) - v(h).\nAnswer: 7*h - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((6*sqrt(396)*-2 - (4*(sqrt(396) + sqrt(396)*-2 - sqrt(396)))**2) + (sqrt(88) + -1*sqrt(88)*-2)\/(sqrt(8) + -2*sqrt(392)) + 4).\nAnswer: 1878*sqrt(11)\/13 + 50680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 5167687.\nAnswer: 31006122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 2*l**3\/3 + 3*l**2\/2 + 6. What is z(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7300.\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -62*o**4 + 208026*o**3 + 110633515*o**2.\nAnswer: -1488*o + 1248156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 12:42 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5797, 23640, 53383, 95026, 148569, 214012?\nAnswer: 291355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f - 4*f = h + 8, -3*h + 2*f = -4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*k - 2 - 51*k + 30*k - 3*k + 71*k + k**2 to the form s + n*k**2 + o*k and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m + 87*m**2 - 39*m**2 + 53 - 46*m**2 to n*m + o + a*m**2 and give o.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63269535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2)\/a)**48\/(a**(-2\/7))**2 assuming a is positive.\nAnswer: a**(-1004\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -36*(-18)\/(-594)*(-11)\/2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2284 and 4.\nAnswer: 2288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -374073*f**3 + 3*f**2 - f - 1. Let a be x(-3). Round a to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, f: 1, i: 1, g: 2}. What is prob of picking 1 m, 1 i, and 1 g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 4*t + 24, -4*f + t + 3*t - 12 = 0. Solve 0 = -f*x + 2*w - 0*w - 6, -4*x = 2*w for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k - k + 2*k)*(-9 + 17 - 3) + k - k + k + (1 + 1 - 3)*(2 - 2 - k) + 0 + 0 + 2*k + 4 + 2*k - 4 + 0*k + 0*k - k to the form t + m*k and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 2*l**2 - 6349748*l\/3 + 2116582\/3 = 0?\nAnswer: 1\/3, 1058291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/165, -36, 0.4, -1\/2, -2\/7 in ascending order.\nAnswer: -36, -1\/2, -2\/7, 8\/165, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18.991 + 19. Let k = -88 - -88.008999. Let y = k - a. What is y rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 1 = -4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/15, -4459, -0.4, 4, 3?\nAnswer: -4459","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 5*f = -3*f - 144, 4*t - 290 = -5*f. What is the lowest common multiple of t and 30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3023 (base 5) to base 3\nAnswer: -112101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -5*h + 6, 58 = 5*q + 2*h - 87. Suppose -2*u - 5 + q = 0. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 12:20 PM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -50 - -54. Let v(i) = 10*i**2 + 2*i - 5. Is v(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -394267*f + 394072*f = 8385 for f.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 16*j**2 + 37*j + 18. Let a be p(-18). Suppose 0 = r - 2*x - 2*x - 601, -5*x - 5 = a. What are the prime factors of r?\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39 + -79. Let c = 43 + j. Suppose -3*s - 5*i = -0*i - 97, -105 = -c*s + 3*i. Is 11 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*o - 47 = -212 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 55691216.\nAnswer: 1\/13922804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4122 (base 10) in base 11?\nAnswer: 3108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -4*v + 1103. Is 47 a factor of w(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-9)*(-39)\/(-221).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29.5 + -29. Put -2, w, -3 in decreasing order.\nAnswer: w, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 6 = 0, -i - 763 = 2*q + 2*q. Let n = q - -839. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/20? (a) -30 (b) 30 (c) -0.1 (d) 3\/5 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1, -2, -30, -8, 5 in increasing order.\nAnswer: -30, -8, -7, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5616 - -7011. Does 93 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-1) + -12 + -16.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from -1071.\nAnswer: -1072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6839, 13699, 20587, 27509, 34471, 41479, 48539?\nAnswer: 55657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -5*(-152)\/(-40)) + -7.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 65 - 43. What is the nearest to -1 in o, -0.4, -1\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165030 is divided by 82511?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -804315 divided by -145?\nAnswer: 5547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 82224.180511039 - 82301.815329. Let o = g - 1.365226139. Let y = -79 - o. Round y to six decimal places.\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**3 - 3*y**3 + 3*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 270798119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*p - 20*p - 29*p)*(13*p - 15*p - 16*p)*(8*p**3 + 6*p**3 - 33*p**3).\nAnswer: -6498*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 + -36. Which is the closest to 1? (a) -5\/6 (b) w (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/(w**(-1\/7)\/w*w*w)))\/w)**45)**(-37) assuming w is positive.\nAnswer: w**(1665\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 5246672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of 11*x**8\/112 + 8*x**5\/5 + 28*x**2. What is the third derivative of u(g) wrt g?\nAnswer: 1980*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2606.9998819 + -2607. Round q to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 17.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46306550 by 9261310.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-2) - -4 - 2. Let w be 0 + 3 - (4 + l). Solve w = -2*c + 4*y + 16, -3*c - 3 + 24 = -5*y for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22 - 15 - 26)*(25*k + 28*k - 46*k + 4) to h*k + x and give h.\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/45 and 4\/1035?\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4727*t + 4*x = 4725*t - 6, 2*t + x - 14 = -2*t + 6*x for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 125 divided by 1\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/26)*g\/(g**(-1\/2)\/g*g)*g\/g**(-4)*(g\/g**(2\/11)*g)\/g*g assuming g is positive.\nAnswer: g**(1195\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (-1*sqrt(2904))\/sqrt(12) + (sqrt(8)\/sqrt(4) + sqrt(2))*-5 + -4)*-1)**2 + 3.\nAnswer: 84*sqrt(2) + 889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -245 and -10.\nAnswer: 2450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -278.458 less than -54823298?\nAnswer: -54823019.542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of t**7\/84 - 13*t**5\/40 + t**4\/2 - 187*t. Suppose d(k) = 0. Calculate k.\nAnswer: -4, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04434144078 rounded to 5 decimal places?\nAnswer: 0.04434","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 37 = 5. Let y(h) = h**2 + 6*h - 3. What is the remainder when 89 is divided by y(n)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cllnlqnndcwncn. What is prob of picking 2 l?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -29*t**2 + 1. Give z(1).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zy when two letters picked without replacement from yggyzzzizjyzjzzyi.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f + 2, 6*k + 4*f = 4*k - 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, 7, 1, -5\/3, 9\/62 in descending order.\nAnswer: 7, 1, 9\/62, -3\/5, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 4 - 3 + 127*n**2 - 29*n + 29*n. Let o be l(1). Let k = -643\/5 + o. Sort -0.2, k, 0 in descending order.\nAnswer: 0, -0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**16*x\/x**16)\/((x*x**(19\/4))\/x*x**(-6\/5)) assuming x is positive.\nAnswer: x**(-31\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -277 - -273.74. Let d = 0.26 + t. Let r = -22.3 - -22. What is the second smallest value in r, d, -2.4?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*y*z**4 - 10*y*z**3 - 3*y*z - 441*z**4 - 352714*z**2 wrt z.\nAnswer: 312*y*z - 60*y - 10584*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 11:25 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 - (23 - (-21 - 20)).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = 13*a - 30. Suppose a*z + 12676 = 2*n - 1910, 2*n = -4*z + 14550. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1641274?\nAnswer: 2, 820637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(((-6)\/(-9))\/((-8)\/12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 25*u**2 + 1. Suppose 5*h + 20 = -3*q, 3*q - 5*q = 5*h + 15. Calculate the remainder when y(h) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 24 = -4*w, 13 = 4*b + 2080*w - 2076*w - 11 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 2*v - 7*v - 965 = 0, 385 = 2*m - v. Let l = m + -90. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 288 and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*v + 39*v - 15*v.\nAnswer: 91*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 156628 and 156649 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 125469262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -5057*c**3 - 22*c**2 - 40*c + 2. Let x(l) = 1686*l**3 + 8*l**2 + 15*l - 1. Give 3*t(a) + 8*x(a).\nAnswer: -1683*a**3 - 2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.5543 and -2.1.\nAnswer: -0.5457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*s**3 + 16*s**3 - 19*s**3)*(-31 + 9 + 7) as o*s + k*s**3 + z + g*s**2 and give k.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219 = -z - 18*q + 22*q, -3*z + q = -624. Does 33 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1048 = 4*c + 4*f, -c + 2*f + 282 = 7*f. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/60 - -151\/60. Factor 0 - h**3 - 3\/2*h**5 - v*h**4 + 0*h + 0*h**2.\nAnswer: -h**3*(h + 1)*(3*h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*7 + 3 + -3. Suppose -2 = 5*c - 12. Suppose -c*b - 4*r - 20 = -y*b, r - 13 = -b. Is b a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 1:49 PM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 26*u**2 + 410*u - 99. Let v be m(-16). Put 5, v, -484 in ascending order.\nAnswer: -484, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*r = 80 + 28. Suppose r*i - 133 = -x, 0 = 4*x - 2*i - 69 - 463. Calculate the greatest common factor of x and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3681 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-373)\/((-192468)\/(-13244))*6\/(-14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4*k - 10 = 5*k, 8 = -2*v + k. Let z(p) = 1. Let y(d) = -2*d + 2. Let o(t) = v*z(t) + 2*y(t). What is o(5)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 6 = 7*w - 11*w, -3*n = 4*w + 2. Factor -2*m**n + 174*m - 5832 - 9*m + 4*m - 32*m + 79*m.\nAnswer: -2*(m - 54)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 17*(6 - -2)\/4. Let i be f\/4 - 3\/6. Let g(n) = n**2 - 7*n - 5. Does 2 divide g(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 232*d**2 - 32*d - 12. Let z(w) = 21*w**2 - 3*w - 1. Give 3*s(n) - 32*z(n).\nAnswer: 24*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d + 298 - 298.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -841 - -845. Sort -2, u, -0.5, 0.1.\nAnswer: -2, -0.5, 0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 715*h - 2130. What is t(3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 7*i**2 + 20*i - 3. What are the prime factors of p(-11)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 2:39 AM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 226584 and 1512.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -51 + 850 + -738.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 138\/2277*-22*2\/36?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v + u + 1, -12*u + 9 = v - 8*u for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**4 + 0 + 0)*((-4 + 5 + 1)*(-3 + 6 - 3*y + y) + 79 - 3*y - 79 + (2 - 1 + 1)*(-2*y - y + 2*y)).\nAnswer: 9*y**5 - 6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 739 + -642. Calculate the highest common divisor of 1 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 5*i - 10. Let b(s) = s**2 + 5 + 4*s**2 - 3 - 6*s + 0*s**i. Let n(o) = -2*o**2 + 2*o - 1. Determine -3*b(r) - 8*n(r).\nAnswer: r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14239176?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, v: 6, a: 9, c: 1}. Give prob of picking 1 a, 1 v, and 1 c.\nAnswer: 27\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 9, p: 4, e: 2, m: 4}. What is prob of picking 1 m and 2 p?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + b**2 - b + 2. Let z be x(0). Find the third derivative of z - 5*t**2 - 2 + 3*t**5 wrt t.\nAnswer: 180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5877 + 5896 - (1 - -67)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*u = 221726 - 218238 for u.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 8*r - 15. List the prime factors of d(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.4, 0.3, -5\/11 in decreasing order.\nAnswer: 0.3, -0.4, -5\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*x + 4 - 4)*(-5*x + 2*x + 2*x) - 1 + 1 + x**2)*(-130*x - 61*x - 42*x).\nAnswer: -699*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (1*13\/(-1))\/((-16)\/112) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 45\/2 of a millennium?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/20)\/((15\/2)\/3).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4550?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 132*f**3*s**3 - 10893*f**3*s**2 + 619059*f**2*s**3 + f*s**3 - f*s**2 wrt f?\nAnswer: 792*s**3 - 65358*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -7. Suppose k = 2*i - 5*z + 100, 2*i - z + 82 = -5*z. What is the tens digit of (i\/(-6))\/(5\/20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2*y + 8 = 0, y + 8 = -5*d + 4*d. Let v be (-4)\/d + (-7)\/(-3). Suppose -a - i + 6*i = 10, v*i - 14 = -a. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.9 (b) 4 (c) 5 (d) 1\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pbyrynr. What is prob of sequence rrb?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 23 + r**2 - 21 + 5 + 2 - r. What is n(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 3*h - 66, 113 - 128 = 5*h for w.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48 - 47. Let k be 126\/28*(7\/3 - m). Let o be (-2 + 24\/9)\/((-2)\/(-126)). What is the greatest common divisor of o and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/6 of a day?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (20\/(-15))\/((-65)\/15 + -1 - -4). Suppose -2*o + 0*o = -10. Which is the closest to 1? (a) u (b) o (c) -1 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 5:58 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 15012665 (base 7) to base 8\nAnswer: 5314060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5476*y**6*z**3 - 745*y**2 - y*z**3 wrt y.\nAnswer: -657120*y**3*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/12)\/1*(-500)\/75.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -41*u - 1. Give f(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(95) - 2*sqrt(95))*3*6)\/((sqrt(480) + sqrt(480) + (sqrt(480) - (sqrt(480) - (sqrt(480)*-2 - sqrt(480)))))\/(-2*sqrt(96))))**2.\nAnswer: 615600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 71\/5 + 7\/(-35).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*t + 323285 = 323263 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 682?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 7*v - 4. Solve 22 = -0*d + 2*d - 4*b, -2*b = -v*d + 17 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -h**5\/60 + h**4\/3 - h**3 + 43*h**2. Let j be y(4). Suppose -m + j = 15. Let v(i) = i**2 + 9*i + 7. What is v(m)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 891 = -94*j for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(20)\/sqrt(2)*4) + 2.\nAnswer: sqrt(3)\/4 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*i**6 + 93014*i**4 + 24*i**3 - 61002*i**2 + 55*i - 10 wrt i?\nAnswer: -1080*i**3 + 2232336*i + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1783673405?\nAnswer: 5, 17, 20984393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-267)\/(-24) - ((-58)\/261 - 75\/(-216))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2052 divided by 684?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -101101102012 (base 3) to base 10\nAnswer: -204422","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Sort 719, -26, -10457 in decreasing order.\nAnswer: 719, -26, -10457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -615 - -599. Let h be (-660)\/(-792)*s\/(-10). Factor 1\/3*z**5 + h*z**2 + z**3 - 4\/3*z + 0 - 4\/3*z**4.\nAnswer: z*(z - 2)**2*(z - 1)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnxn when four letters picked without replacement from xjxnjnnnn.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 25. Let h(j) = 9*j**2 - 7. Let m(o) be the third derivative of o**5\/15 - o**3\/2 + 34*o**2. Give q*h(v) + 7*m(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 13*x - 3. Let h(b) = -25*b + 5. Let m be 2*(-6 - -1)*133\/(-266). Give m*g(c) + 3*h(c).\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -540.488 minus -2872?\nAnswer: 2331.512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -29. Let y(l) = -l + 23. Let g be y(d). Solve -g - 3 = 3*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 826512206.\nAnswer: 2, 13, 89, 357179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 3 - 13. Let y be 2 + j + 8\/2. Suppose -y*h + 60 = -h. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -125929 times -10.8\nAnswer: 1360033.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 4*z**2 + 7*z + 6. Let d be y(-5). Suppose 0 = -2*x + 4*b - 150, -3*b + 168 = -5*x - 165. Put -3, d, x in descending order.\nAnswer: -3, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 8 + 11 + 0*d + 1382*d**2 - d.\nAnswer: 1382*d**2 - d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14344428, -14344427, -14344426?\nAnswer: -14344425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -5487 and 60\/11 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4556)\/10 + 2\/(-5). Is b\/(-2) + (-2)\/1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 232, -14, -3, 2352.\nAnswer: -14, -3, 232, 2352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/21*55*(-46)\/(-3795)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.12973 + -0.32973. Which is the fifth smallest value? (a) -10 (b) 4\/5 (c) 3\/5 (d) 0.1 (e) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (3 + -9 - -6) + -5.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 divided by -28?\nAnswer: -699\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 283487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11757570 and 21163626?\nAnswer: 105818130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a day in seconds?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(5\/3*(-258)\/(-1075)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 5. Suppose 4*h + 5*i + l = 22, 0 = h + 4*i. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 9*i**3 + 2*i**2 - 2*i. Let f(u) = -4*u**3 - u**2 + u. Let v(x) = -x**3 - 5*x**2 - 3*x - 9. Let o be v(-5). Calculate o*j(q) + 14*f(q).\nAnswer: -2*q**3 - 2*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 364 is divided by 49?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + sqrt(252) + (sqrt(252) + 2)*-4)**2.\nAnswer: 192*sqrt(7) + 1072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 10, h: 9}. What is prob of picking 1 h and 1 z?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 10278 divided by 2\nAnswer: 5139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/15)\/(j\/(j*j**(-1)))*((j\/j**(-2))\/j)\/(j\/(j*j*j*j**3)) assuming j is positive.\nAnswer: j**(92\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.2 - 4.19999848. What is m rounded to seven decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/10*2170\/1116*(-16)\/24.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -18*a**5 + 155002623*a**4 - 333691810372676*a**3 - 166845943936996*a**2 = 0?\nAnswer: -1\/2, 0, 12916886\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212101 (base 3) to base 13.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -265683, -265695, -265695, -265683?\n\"Answer: 6*q**2 - 30*q - 265659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 107132, 107807, 108482, 109157, 109832?\nAnswer: 110507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2. Let z(p) = 7180*p**2. Give z(v(d)).\nAnswer: 7180*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0\/(-3) - 20\/6)*1575\/(-125). Put -2, 3, n, 5 in descending order.\nAnswer: n, 5, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of h**4\/8 + 52*h**2. Let d(n) = 10*n**2. Give d(m(l)).\nAnswer: 90*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -17. Which is the closest to i? (a) -3 (b) 0 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-15)\/r*r*r**(4\/11) assuming r is positive.\nAnswer: r**(-161\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39370189, -157480660, -354331437, -629922514, -984253885, -1417325544, -1929137485?\nAnswer: -2519689702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of y**2\/2 + 1. Let l(z) = 3*z + 2. Suppose 49*n - 140 = -76*n - 15*n. What is n*l(h) - 6*o(h)?\nAnswer: -3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i + 46*i**3 - 12*i + 3*i + 8*i + 0*i**3.\nAnswer: 46*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 174\/(-30) + (2 + -3)\/(4 - -1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 550660.\nAnswer: 2, 5, 11, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f*f**(-1)*f*f\/(f\/f**(-11))*(f*(f**(8\/5)*f)\/f)\/f**(1\/4) assuming f is positive.\nAnswer: f**(-133\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -131\/2 + 64. What is the nearest to x in -0.4, -0.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/17)\/2 + (435071665\/85)\/7 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -13. Which is the closest to -2? (a) n (b) 2 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 5:49 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 21\/(-14)*34\/(-3). Suppose v + 5*r = 16 + 12, 5*v + 3*r = 30. Solve v*g - a = -2 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2*sqrt(1377))**2 + (-3 + sqrt(1377))**2*2 + 5 + (-3 + (sqrt(1700) - -1*sqrt(1700)) - sqrt(1700)) + sqrt(1700)*-2 + -1.\nAnswer: -46*sqrt(17) + 8285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8, 10, 12?\n\"Answer: 2*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-627))\/(50\/(-1900)) + -1 + (-6)\/154.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4*m - 134 = 0, 4*m - 3 = 1. Suppose 136 = -4*k - 4*a, -2*k - 4*a + 86 = -4*k. Let f = o - k. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 856 + -869 + -6 + -1.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11231, 89346, 301381, 714296, 1395051, 2410606, 3827921, 5713956?\nAnswer: 8135671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 3*z - 10. Let q be n(-5). Let x(i) = q*i**3 - 3*i**2 - 4*i**3 + 2*i - 3*i + 0*i. What is the units digit of x(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -228*16\/(-2)*((-3325)\/57)\/(-25). What is the greatest common divisor of m and 560?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2721365 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*o**2 + 485*o - 1596 = 0. What is o?\nAnswer: -57, 28\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 720257 is divided by 5761?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85856319.\nAnswer: 3, 593, 16087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2811 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggg when four letters picked without replacement from ggggkgggegegeggeee?\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/4833 and 41\/820536.\nAnswer: 7384824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.412 + -0.3. Let l = 51.888 + s. Let y = l - 51.999937. What is y rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*((-3)\/1)\/27?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 11:49 PM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2888, -11554, -25996, -46214, -72208, -103978, -141524?\nAnswer: -184846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6026, -10540, -13544, -15038?\nAnswer: -15022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19803\/(-966))\/((3\/(-6))\/1)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 6844.\nAnswer: 27376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.5 + -8. Let z = g - 5. Let u = z - -5. What is u rounded to zero decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 27\/(-6)*76\/36*(-12)\/(-2). Is m < -103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(-i + 2*i + 0*i) + 2*i - 2*i + i - i - 1 + 1 + (3*i + i - 2*i)*(-3 + 2 + 5) - i - 2 + 2 + 0*i - 5*i + 3*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2181*v + 3506. List the prime factors of p(13).\nAnswer: 31859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 10) + -2 + (2 - 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 122211102 (base 3) to base 7\nAnswer: 52616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25155184.\nAnswer: 2, 313, 5023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4103 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19778 + 19781. Sort 30, i, -13.\nAnswer: -13, i, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4550525 (base 8) in base 6?\nAnswer: 42233233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*l = -170*l - 43 + 463 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/2208 and -17\/54?\nAnswer: 19872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 536?\nAnswer: -534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 1384*j + 3796*j + 318*j + 2062*j in the form l*j + q and give l.\nAnswer: 7560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*w = 105*w - 12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19858433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 3 - 1)*(0 + 0 - 2*i + (6 + 0 - 4)*(-5*i + 1 - 1)) in the form j + k*i and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x, 1 w, and 1 k when four letters picked without replacement from {x: 7, k: 1, w: 6, o: 2, u: 3}?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 93 - 54. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-5))\/((-13)\/(-65)). Suppose 84 - 12 = k*l. Solve 4*n + 5*n - l = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -89412, -715223, -2413858, -5721729, -11175248?\n\"Answer: -89402*g**3 + 3*g - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8255\/23 - 359. Let u(j) = -3 + 3*j - 4*j + 4 + j**2. Let v be u(1). Is z smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + (sqrt(17) - sqrt(833))).\nAnswer: 4 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, -5, 4, 1, 3, -2953, -2 in descending order.\nAnswer: 53, 4, 3, 1, -2, -5, -2953","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -371.288874 rounded to two decimal places?\nAnswer: -371.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*c**3 - 1 - 2*c**2 + 2*c**4 - 2*c - 1 - 42*c**3 to the form i*c**4 + m*c**3 + u*c**2 + h*c + k and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52733850?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 6*k**2 - 2*k + 3. Suppose 195 = 3*h + 3*d, 0 = -5*h + 4*d - 90 + 451. Suppose -67*c = -h*c - 12. Give y(c).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 8*p**2 + p + 2. Let n(s) = 7*s + 2. Let l be n(1). Let y(d) = 5*d**3 + 33*d**2 - 5*d - 7. Let h(q) = l*j(q) + 2*y(q). Calculate h(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -72308739*g**4 + 324*g**2 + 1329*g - 16?\nAnswer: -1735409736*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of d**7\/840 + d**6\/60 + d**5\/20 + d**4\/24 - 11*d**3\/3 - 11. Let v(l) be the third derivative of y(l). What is v(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1210240 + -144?\nAnswer: -1210434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215105698 is divided by 178.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24 - -145?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 6801*u + 9727. Is l(16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -9. What is the units digit of p\/((-3 + 4)\/(-1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 311*y = 3*b + 306*y + 1617480, 5*b + 5*y = -2695880. What is b rounded to the nearest 10000?\nAnswer: -540000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96) - -1*(-2*sqrt(96) + sqrt(96) - sqrt(96) - sqrt(96) - sqrt(96)))\/sqrt(12))\/(5*((sqrt(400)*2 + sqrt(400) - sqrt(400)) + sqrt(400))).\nAnswer: -sqrt(2)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -50, -96, -156, -236, -342?\nAnswer: -480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + 2 + 16 + -4. Let j(t) = -t + 9. Let d be j(i). Let u = 2 - 1.9. Which is the third smallest value? (a) -2\/11 (b) u (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*m - 251431 = -96608 + 168025. Does 47 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -22 and -3.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tkw when three letters picked without replacement from wcwcttttgcttkaactw.\nAnswer: 7\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 193 = m - 0*p, -4*p + 20 = 0. What are the prime factors of m?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o - 4 + 2 - 22*o - 1 to the form w + m*o and give m.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - u + 3)*(7*u**2 - 1 - 20*u**2 + 7*u**2)*(-2 - 1 + 4)*(2 - 3 - 5).\nAnswer: -36*u**3 - 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 316679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 - 29. Let l be (1 - x) + (3 - 2). Which is bigger: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -541*k = -544*k + 5*d + 20, 21 = -3*d for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.8 - 0.79. Let b = -5.99 - o. Let a = b - -10. Put 0, a, -1 in decreasing order.\nAnswer: a, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 2. Solve 0 = o*b + 5*w, 6*w + 28 = 5*b + 4*w for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.23 - -0.33. Which is the third biggest value? (a) -3\/5 (b) -1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 1\/12 (c) 0.3 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, u: 3, e: 1, k: 1, v: 1, g: 2}. What is prob of picking 1 e, 1 u, and 1 v?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q - 11. Let p = -9957 - -9953. Let a(v) = 12. Calculate p*m(x) - 3*a(x).\nAnswer: 4*x + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 557752.\nAnswer: 2, 13, 31, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = f - 4*z - 36, -z = -2*f + 17. Calculate the remainder when f is divided by 9\/3 - (1 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*g + 82. Let q = -5 + g. What is the common denominator of -52\/9 and (-4)\/18 + 329\/q?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3102509 a multiple of 213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -137, 0.7, -0.3, 0.5, 0.15?\nAnswer: -137","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2069.496838 to the nearest 100.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 3*d - 15467, 9*d - 8*d - 5157 = b. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -118.955 rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 118*s + 5 - 119*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-175*(-5)\/(-50))\/(8\/(-28)*(-14)\/(-16)).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, -30, -1\/7, 2\/9, 0.1, -3\/5?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2049 divide 264919182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 7*x**2. Let c(k) = k**2 + k + k - 2*k. Give o(c(b)).\nAnswer: 7*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 4) to base 16\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -220. Suppose c - s - 214 = 0. Round c to the nearest ten.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 86220, 86228, 86282, 86412, 86648, 87020?\n\"Answer: 5*i**3 - 7*i**2 - 6*i + 86228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 169 + 299 = 0. Suppose 2382 = -0*z - 6*z. Let f = 410 + z. What is the greatest common divisor of f and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43 + (-12 - -39 - -33) - 40.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/4)\/(x\/x**(-5)))**35*(x\/x**1*(x**(1\/10)\/x)\/x)**(1\/30) assuming x is positive.\nAnswer: x**(-30197\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2232 and 703510776.\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(285)\/sqrt(5) + (sqrt(57) + sqrt(57)*-1*-1 + sqrt(57) - sqrt(57)))\/(sqrt(48)*-1 - sqrt(108)*1))**2.\nAnswer: 171\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4688298.99907 - 4688339. Let v = -40 - b. Round v to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1156 + -1162. What is the closest to -13\/6 in 2, 5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000197 to five decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b. Let r(h) be the third derivative of h**6\/90 - 5*h**3\/6 - h**2. Let p(k) be the first derivative of r(k). Give d(p(i)).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55 and 586135.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 24 = -2*t. Suppose -t*v + 168 = -3*v. Is v\/6 + (-8)\/(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-14))\/((-36)\/48)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 44850940 - 2?\nAnswer: 44850938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1160 (base 12) to base 13.\nAnswer: -b67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 109*y**2 - 2*y + 1. What is the tens digit of i(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n**2 - 15*n + 6. Give p(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1654392 is divided by 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k - 3. Let z be l(19). Suppose -4 = z*v - 18*v. Solve t = -0*t + b + 3, -7 = -t + v*b for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20002122 - -10110211?\nAnswer: -2121211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rws when three letters picked without replacement from rkwuuss?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18751, -18750, -18749, -18748, -18747, -18746?\nAnswer: -18745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 7*x. Let j be f(0). Let s(h) = h**3 - 4*h**2 - 6*h + 7. Let g(p) = -3*p - 4. Let b be g(-3). Let y be s(b). Solve j*r = 2*r + y for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (204\/(-21)*1)\/((-164)\/509138)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 9:54 AM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 2*u - 8, 0*l - 2*l = -4*u. Let s be (2\/l + 0)*-8. Suppose 10 = s*h + h. Calculate the smallest common multiple of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37445, 37440, 37435, 37430, 37425, 37420?\nAnswer: 37415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -447?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6041348 is divided by 633?\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5500) - (1*sqrt(5500) + sqrt(5500))) + sqrt(5500))\/(sqrt(1584) + sqrt(1584)*1 + sqrt(1584)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 447107317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34646614 - 2980.\nAnswer: -34649594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.6, 8, -1179, -2, -1?\nAnswer: -1179","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 61226 - -202?\nAnswer: 61431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1079 + 1078.6. Let o = -59 - -62. Let v = -3.8 + -0.2. Which is the second biggest value? (a) z (b) o (c) 0.1 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17 + 733?\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 4*o**5 + 0 + 68\/5*o**4 + 0*o + 64\/5*o**3 + 16\/5*o**2 = 0.\nAnswer: -2, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**3 + 17*i**2 - 15*i + 12. Determine k(7).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.08 + 8. Let p = s - -0.08. Which is the third smallest value? (a) p (b) -5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/5)\/((-2)\/(-10)). Let k be b - (1 + 1 + -8). Let s(c) = -c - 3. Let g be s(-5). Sort g, -3, k in increasing order.\nAnswer: -3, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, f: 1, b: 1, j: 1, m: 1, x: 1}. What is prob of sequence fm?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00354893 to five dps.\nAnswer: 0.00355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -2*f**7\/21 + f**4\/3 + 5*f. Find the third derivative of p(b) wrt b.\nAnswer: -240*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3386424?\nAnswer: 2, 3, 141101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/3*-1*(-15)\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1160 + 1445 = -34*y + 463 for y.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -397*m**6 + 4*m**2 + 26*m wrt m?\nAnswer: -47640*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 143, 144, 25, -214?\n\"Answer: -60*z**2 + 181*z + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 2*d - 3*d)*(20 - 19 + 30) - 6*d + 3*d + 2*d - d - d + 0*d + d - 1 + 1 + (1 + 2 - 5)*(0*d - 2*d + d) + 2*d + 2 - 2.\nAnswer: 33*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 133881 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a - a + a + (24 + 32 - 17)*(2*a + a - a + (1 - 1 - 2)*(-3*a - 11 + 11))*(1 + 3 - 3).\nAnswer: 315*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -5*y - 12. Let a(f) be the first derivative of -3*f**2 - 13*f - 17. Let z(r) = -6*a(r) + 7*b(r). Let i be (-3 - 0)*(-8)\/6. Determine z(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 122 (base 3) to base 10\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 20\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1))**24 assuming y is positive.\nAnswer: y**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 58530*q - 292711. What is o(5)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20 - -111030141140?\nAnswer: 111030141120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 465 + -56.29.\nAnswer: 408.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**3*r*u + 266*j**3*r - 9*j**3*u - 117*j**2*r + j**2*u - r wrt j.\nAnswer: -12*r*u + 1596*r - 54*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uoovasu?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -4 - 1 - 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191320 is divided by 17386?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l - 409 + 349 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225 = 28*z - 17*z - 18*z - 216 for z.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/1964 and 9\/116.\nAnswer: 56956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5228153057?\nAnswer: 5228153057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -h*u**3 + 55947595*h + 2793140*u**3 + 3*u**2 + 2*u - 2 wrt h?\nAnswer: -u**3 + 55947595","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, j: 8, d: 3, g: 4}. Give prob of picking 1 v, 1 d, and 1 g.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(-3*r**2 - r**2 + 3*r**2) - 11*r**2 - 5*r**2 - r**2 + 0*r**2.\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a423 + -56?\nAnswer: 1a378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - 3*b + 9. Let c = b - -4. Suppose 3*q - 324 = -5*i, -i + 32 + 37 = 2*q. What is the highest common factor of c and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 237140 (base 9) to base 12\nAnswer: 6a909","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -17*n**3 + 3*n**2 - 3*n - 2. Let l(d) = -10*d**3 + d**2 - 2*d - 1. Let u(m) = -3*f(m) + 5*l(m). What is u(5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p**2 - 8*p - p**2 - 3*p**2)*((2*p + 2*p - 3*p)*(-4*p + p + 17*p) - p**2 - 2*p**2 + 2*p**2).\nAnswer: 26*p**4 - 104*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1226\/25 <= 49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 111 + -123 + 80 - (1 - 2).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u**5 + 138*u**4 - 331*u**3 + 132*u**2 + 68*u = 0 for u.\nAnswer: -2\/7, 0, 1, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4180 and 2230800.\nAnswer: 42385200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -3*f. Suppose q - 6*q + 15 = 5*o, 2*o - 4 = f. Let s(y) = y**3 + 3*y**2 - 3*y + 5. Calculate the remainder when s(-4) is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*s**5 - 1282770*s**4 - 48819276*s**3 - 94217672*s**2 - 62051568*s - 13704768 = 0. What is s?\nAnswer: -36, -2\/3, 23793","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10165*3.\nAnswer: 30495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/124 and -49\/310?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + -3*(4 - 3). Let u be (-1)\/(-6)*(-1)\/(3 + l). Which is the smallest value? (a) -3\/5 (b) u (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, k: 1, n: 1, l: 1, g: 1}. What is prob of picking 1 g, 1 q, 1 l, and 1 k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*m + 2*v - 26 = -28*m, 0 = -4*m - 2*v - 94. What is the smallest value in -0.02, m, -2\/7, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z - 11. Suppose 0 + 10 = -2*s. Let p be r(s). Solve -8*w + 3*w + 2*o + 3 = 0, p*w = o for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5206 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 12 - 2*r - 4 - 8 to s + t*r and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7.31 from -217.\nAnswer: -209.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 9 - (4 + -9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2069.\nAnswer: 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 7*u - 21. Let m be h(24). Suppose -158*z + 8712 = -m*z. What is the hundreds digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.057 and -3.\nAnswer: -0.171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a - a**3 + 22 - 14 - 2*a. What is s(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rtttrttrrr. What is prob of sequence rrr?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 48*((-5)\/3 + (-1711)\/(-87)). What is the highest common factor of 384 and i?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 88*i**2 - 1565*i + 17524. What is r(69)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23103610 is divided by 780?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 9:27 PM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -130*z - 1. Let q(n) = 131*n + 2. Calculate -3*q(k) - 2*s(k).\nAnswer: -133*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -8*v - 11. Let y be d(-8). Suppose 2*x = -5*m + y + 17, -x - 28 = -2*m. Let a be 2028\/16 - 3\/4. Calculate the greatest common factor of m and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14829 - 14828. Let x = 5.7 + -6. Which is the nearest to x? (a) -1\/3 (b) p (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - -2. Let h(b) = -3*b + 45. Let j be h(p). Solve -3*w + 9 = -j*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4.23 in 2\/21, -2\/19, 42?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 2:03 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {g: 1, v: 2, s: 2, j: 2, c: 8}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7680 + 22?\nAnswer: 7702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 520 + 690 = -11*v. Let q be v\/25 + (-4)\/(-10). Suppose 0 = a - 4*a - 3. Put q, a, 5 in ascending order.\nAnswer: q, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 4*d**2 - 2*d - 7. Let x be z(3). Let f(q) = q**3 + 5*q**2 + 3*q - 3. Give f(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38299552 and 224?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1794? (a) -0.1935 (b) -3 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 0 + 43*h + 1 - 37*h - 3 - h**2. Give m(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.5 + 4.\nAnswer: 5.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/1 - 6) + (-48)\/3456*-642 + -3?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of -l**8\/26880 + l**7\/5040 - l**6\/2880 + l**4\/4 + 2*l. Let j(g) be the third derivative of w(g). Factor j(z).\nAnswer: -z*(z - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - s + 2. Let f be y(2). Find the second derivative of 8 - 8 - 4*k - f*k**5 wrt k.\nAnswer: -80*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -3*g**2 + 1\/6*g**4 + 0*g + 0 + 1\/2*g**3. Calculate o(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - 4 = m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + -84 - -5) + 1 + -513 + 490\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**3 + 2*p**3 - 6*p**2 + 2 + 4*p**2 - 4*p**4 - 2*p**3 as s + b*p**2 + o*p + j*p**3 + z*p**4 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(-15)*(-252)\/70*60\/(-126).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1769*v**3 + 3*v - 3539*v**3 + 1765*v**3.\nAnswer: -5*v**3 + 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 796574*v**2 - 796572*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 160 + -146. Calculate the lowest common multiple of m and 22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 53, -7, 5, -2 in increasing order.\nAnswer: -7, -3, -2, 5, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 7*k + 6. Let h be d(6). Is 3\/(h\/89)*4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2931103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y**2 - 3*y**2 - 2*y**2 - 7*y**2.\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and -18835.26298099?\nAnswer: 18835.56298099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 112 = 2*l, 0*h - l = 4*h - 146. Suppose 522 = 5*w - 553. Calculate the remainder when w is divided by h.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 7*q**2 + 7*q - 3. Let j be c(6). Suppose j*w + 26 - 32 = 0. Solve h - w = 3*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.03 - -0.57. Let t = 1 - a. Let c = -0.3 + t. What is the closest to 1 in -5, c, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*h + 8*h - 148. Let w = h - -46. Solve 2*f - w = -1 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46 + 50. Let t(o) be the first derivative of -2 + 0*o + 0*o**2 - 2\/5*o**5 + 0*o**j - 1\/3*o**3. What is the third derivative of t(h) wrt h?\nAnswer: -48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -170900 to the nearest 10000.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + a**2. Let l(q) = -4*q**3 + 2*q**2 - 7*q + 4. Let c(r) = 5*d(r) - l(r). Give c(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 193, -211, -3 in ascending order.\nAnswer: -211, -3, 193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*z**2 - 22*z**2 - 64*z**2.\nAnswer: -141*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/3 - 29744\/(-6864).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k - 6*c + 47, -14*k + c = -13*k + 6 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 5 (c) -596467\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3*s + 4 = 2*o, s + 16 = 5*o. Let j be (2 - 0) + o + -1. Suppose 0 = -j*z + 15 - 5. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -756671690*x**4 + 25*x - 92444 wrt x.\nAnswer: -9080060280*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10, 2\/3, -27387, 6, 0.1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of d**6\/30 + 4*d**5\/5 + 8*d**4 + 128*d**3\/3 + 128*d**2 + 1024*d\/5 - 10. Solve q(h) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 129\/7700 and 1\/8800.\nAnswer: 61600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*o + 0*o - 3*o + (-2 + 1 + 3)*(2*o + 0*o - 3*o) + 9*o + 10*o - 9*o)*(-33*o + 15*o + 8 + 13*o) in the form b*o + j + v*o**2 and give b.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-2 + (-3 - -11))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2*sqrt(17) - (sqrt(17) - (-1*sqrt(17) + -1)))**2*-5.\nAnswer: -1365 - 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5434771 kilometers in nanometers?\nAnswer: 543477100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/24)\/(15\/(-1)*1)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 11290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 2*y**2 - y + 55. Let k be c(0). Let s be 0 - (-4 + 1 + -2). Suppose -29 = -s*b + 26. Calculate the greatest common factor of k and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 2940 = -2*f - 2972, 3*f + 5*h = -2 - 42 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/20 of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-98)\/(-2744)*(-12)\/1.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.129 + -0.129. Sort y, 0.2, 1 in descending order.\nAnswer: y, 1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*j + 63*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6367 - -6381. Solve -6*s + i = 8*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/11, 5\/19, 2\/3, 0, -72, -0.1?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 510546 + -275695489\/540. Let h = b - -1\/540. Sort -2\/3, h, -20 in increasing order.\nAnswer: -20, h, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1))**(-17)\/((r**6\/r)\/((r\/(r*r\/(r\/(r\/(r\/r**4)))))\/r))*(r\/r**1)**(-29)\/((r*r**7)\/(r**(-4)\/r*r)) assuming r is positive.\nAnswer: r**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-126)\/(-15) + (-4)\/10. Suppose 0 = 4*u - 32 + v. Suppose p - 3*r = 19, -3*p + 4*r = -31 - u. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p + 196. Determine y(110).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-3 - -24)\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**2 + y**2 - 3*y**2 + 3*y**2. Let s(o) = -6*o. Give s(b(j)).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of 49*d**3\/3 + 3*d**2\/2 - 136*d + 181. Differentiate f(v) with respect to v.\nAnswer: 98*v + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3906473?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 (base 5) in base 15?\nAnswer: 1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**2 - 7*k + 32. Let f(q) = q**2 - 4*q + 15. Calculate -9*f(p) + 4*o(p).\nAnswer: -p**2 + 8*p - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (-14 - -12) + 6 + 21 + -3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.254 and -5257?\nAnswer: 1335.278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 352*p = 1830, -13*u + 9*u + p = -4*p - 81 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36.02465 * 1.76.\nAnswer: -63.403384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 141 - 3. Suppose l = q - 32. Let n = 79 - q. What is the least common multiple of n and 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + (sqrt(112) + 1*sqrt(112) + sqrt(112))*-2)**2.\nAnswer: 2800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 6) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8, 35, 78, 143, 236?\n\"Answer: c**3 + 2*c**2 + 14*c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151*g**3 + g - 153*g**3 - g.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30539*x**3 - 61062*x**3 + 30526*x**3.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/75)\/(9\/(-30))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/14 and (98\/(-4) + 2)*12\/(-279).\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1538)\/26 - 12\/(-78))\/(-1). Let h(c) = 3 + 2*c**2 - 15*c**3 + y*c**3 - c**3 - 4*c + 0*c. Is h(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14429800 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m + 4. Let r be c(4). Let a be r*((-3)\/6)\/1. Suppose a*x = 3*x - 15. Calculate the remainder when 18 is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -12*n - 21. Is j(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -68 by -2.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -1. Let k(x) = -x - 1. Let c be k(f). Solve 0 = -c*j - 3*r + 8, -j + 3*r + 2 = -0*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3480000 to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 68902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/4 and -119518024 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.44 (b) -2\/9 (c) -10\/9 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 4*w - 4. Determine d(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yr when two letters picked without replacement from yyxixyyrywxxy?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 9*m - 17. Give j(13).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-55)*16\/((-48)\/(-9)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6399738 rounded to three decimal places?\nAnswer: -1.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 50 + 20 = 0. Suppose -4*z - 5*y = -60, -2*z - 8 = -4*z + 3*y. Calculate the highest common divisor of z and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -6.9, 293, -0.22 in descending order.\nAnswer: 293, 12, -0.22, -6.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -75*f**2\/8 + 8805*f\/2 - 1033707\/2.\nAnswer: -3*(5*f - 1174)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 66728 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7526 - 7526.013914. Round a to three dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 930 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 411\/2 + -35029\/170. Let c = 6\/17 + s. What is the second biggest value in c, 12, -1\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -14*w**2 + 27*w + 52. Let m be n(-2). Let b = m - -46. Is b != -36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -982*u - 4251 = -995*u. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 10*f + 32. Let j be h(-3). Let z(x) = -4*x - 24. Let n be z(j). Solve 0 = 5*w + 9 - n for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 695 + -694.6. Which is the third biggest value? (a) d (b) -1\/4 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 13*u**2 + u - 12*u**2 + 2*u - 2. Let h = -5 + 7. List the prime factors of x(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(152)*-2)\/(-3*sqrt(288)))**2.\nAnswer: 19\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + 2 - (0 + -1). Let i = 3 + z. Suppose t + 6*s = 3*s + 8, 0 = -s + i. Calculate the remainder when 5 is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5399, -5407, -5415?\n\"Answer: -8*l - 5391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.3 + -4.342. Let d = m + 0.0455. Let z = 0.00127 + d. What is z rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -829*o + 22856 = -14449 for o.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -4 + 1*sqrt(19) + 0 + (sqrt(19) - ((-2*sqrt(171) + sqrt(171))\/sqrt(9) - sqrt(19))) + -3*((-1 + sqrt(19))*4 - sqrt(19)))*-3)**2 + 1.\nAnswer: -1170*sqrt(19) + 5797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -76\/21*q**3 - 55 - 144\/7*q + 33\/14*q**4 + 24\/35*q**5 + 1\/21*q**6 - 132\/7*q**2. What is c in n(c) = 0?\nAnswer: -6, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 2 + -6 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -113 * 0.0728.\nAnswer: -8.2264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) -4 (b) -0.01 (c) -52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 572 - 66*x - 1180 + 608.\nAnswer: -66*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*v = 8, 9*o + 2*v + 4 = 11*o. Which is smaller: 1\/6480 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4124193671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*t - 10*t - 8. Suppose -4*k + t = 0, 4*h - 110 = -4*k + 62. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30211 = 1160*a - 53309 for a.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 3:15 AM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n. Let d(q) be the second derivative of 0*q**2 + 0 + 65\/6*q**3 + 8*q. Give d(y(t)).\nAnswer: 65*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.39335 + 0.393327781. Round v to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.784 in 3\/7, 0.5, 3\/5, 3, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*o = -3 + 18, o - 5 = 5*r. Suppose r = -5*s + 4*s + 310000. What is s rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*g**2 + 0*g**2 - 2*g**4 + 7*g - 5*g as j*g**4 + c*g + r*g**2 + u + i*g**3 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((266\/(-247))\/(-7)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 853820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 34\/67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 a when three letters picked without replacement from {f: 4, e: 2, j: 10, a: 4}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16106*x + 7600762*x**2 + 16110*x - 7600743*x**2.\nAnswer: 19*x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 341730 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 2:21 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 50512 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**3 - y**2 + y. Let p(m) = m**3 + 7*m**2 + 2*m + 10. Let h(i) = -2*k(i) - p(i). What is the tens digit of h(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*c - 8 = -491. What is the biggest value in c, 5, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2138089?\nAnswer: 19, 43, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3\/7 + 1280*m**2\/7 - 556*m - 5168\/7.\nAnswer: 4*(m - 4)*(m + 1)*(m + 323)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2852 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -1886*r + 70. Let q be m(-5). Round q to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 20*r**2 - 8*r - 31. What is the remainder when m(-5) is divided by 135?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -6 - 1 - 44*n + 4 + 0. Let j(x) = 44*x + 3. Let o(a) = -5*j(a) - 6*y(a). Differentiate o(i) wrt i.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, a: 6, q: 6}. Give prob of picking 1 e and 3 q.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -5, 62\/21, -3390?\nAnswer: 62\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.2 + 3.2. Which is the closest to 0? (a) o (b) -0.04 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2 - -3)*-55)\/(-2 + 1). Let b = a - 51. What is the units digit of b + 0 + 0 + 57?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.04 + 1. Let r be -3 - -9 - (-343)\/(-56). What is the nearest to -1 in 0, r, y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13662 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 + -32. Suppose -q + u + 12 = 0. Does 2 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 227.1 - 227. Let o = 81 - 93. What is the nearest to o in k, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of k**8\/840 + k**7\/525 - k**6\/30 - k**5\/15 + 3*k**4\/20 + 3*k**3\/5 + 514*k**2. Let q(s) = 0. What is s?\nAnswer: -3, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1056058711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5, -23, -47, -71, -89, -95, -83, -47?\n\"Answer: f**3 - 9*f**2 + 2*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 481 >= -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 2 - 2. Suppose 2*d - 14 - m = 0. Is 28 + d\/(-3) + 5 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 7*v**3 - v. Let o be d(1). Let c(z) = 2*z**3 - 3*z + z - 5 - 3*z - 7*z**2. Is c(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 505 + -507.5. Round m to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4 + 0.3996. Let g = -0.461 + 0.461. Let t = m - g. What is t rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 2595?\nAnswer: 15570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 328.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (52 - 164 - -119) + 108\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2. Let x(l) = -20*l. Let c(q) = -4*q. Let d(k) = 11*c(k) - 2*x(k). What is d(v(r))?\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*q - 5*w - 133 + 26 = 0, -3*q + 3*w - 15 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-216.11\nAnswer: 64.833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -2*y + 0 - 1\/2*y**2 + 1\/270*y**5 - 1\/54*y**4 + 1\/27*y**3. Let p(k) be the first derivative of r(k). Factor p(q).\nAnswer: 2*(q - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r + 6 + 23 - 17)*(2*r - 2*r - r) as f*r + m + d*r**2 and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4 - 2.3. Let r = u - -0.9. Let z = -0.42 + 0.12. Which is the nearest to 1? (a) -0.1 (b) r (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201*i - 221*i = -280. Calculate the highest common factor of 20 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -4*q**3 + 3*q**2 + 5*q - 7. Let u(f) = -f**3 + f - 1. Suppose -5*g - 7 = -6*x + 3*x, 5*x - 20 = 0. Give g*y(n) - 5*u(n).\nAnswer: n**3 + 3*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 10*d = -2. What is the smallest common multiple of d and 53?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 984\/99 + (-8 - (-2 + 4))?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1356*r**3 - 444*r**3 - 561*r**3)*(-3 + 2*r + 3).\nAnswer: -4722*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4135 + 4186. What is the remainder when 2394 is divided by j?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21.9 + 22. Let m = 4.9 + s. Let t = 1.97 - -0.03. Which is the closest to 1\/2? (a) m (b) t (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1108770.2 rounded to the nearest ten thousand?\nAnswer: 1110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - b = -55327 + 11427, 3*r = 4*b + 43895. Which is smaller: 14632 or r?\nAnswer: 14632","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -s - 5*i, i = -4*s - 5345 + 5279 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 883539 to the power of 1\/2, to the nearest integer?\nAnswer: 940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17088 divided by -356.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2697637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66282 to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/((-6)\/(-10)) - (-22 + 14). Solve -n - n + 10 = 4*f, 0 = o*f - n for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1265 times -0.08\nAnswer: -101.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**3)**(-6)\/(o**(5\/8)*o*o**(-4)\/o*o))**(-8\/7) assuming o is positive.\nAnswer: o**(173\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 721.\nAnswer: -716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - a**2 + 25*a + 32. Give u(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/5)\/(39\/585). Does 13 divide x + 36\/(-9) + 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.031 (b) -2 (c) -5\/4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - v - 2*v**2)*(v**2 + 0*v**2 + 0*v**2) + 3*v**3 - 19*v + 3*v**4 + 38*v - 21*v.\nAnswer: v**4 + 3*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -104.654\nAnswer: -209.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k + 22. Let x be o(22). Let l(s) = s**2 - 3*s + 88. List the prime factors of l(x).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7862895 and 30?\nAnswer: 15725790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-31)\/(155\/2))\/(68\/(-20) + 3). Solve -t = 5*r + 14 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i**2 + 254162*i + 16149580561 = 0. Calculate i.\nAnswer: -127081","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4792 bigger than 4791?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and -0.01272.\nAnswer: -0.51272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.446 - 0.946. Let u = -94\/45 - -11\/5. Put -4, o, u in descending order.\nAnswer: o, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 4:36 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -8, -17, -4, 2\/43?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -12*y + 14. Suppose y = -2*z + 4*z. What are the prime factors of (z - 0) + 30 + 4\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3294 and 15741?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -7*g + g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 10*a**2 + 6*a + 6. Let h be i(-6). Let k = -65 + h. Calculate the common denominator of k and 92\/6 - (-2 + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -t**6\/50 - 3*t**5\/50 + t**4\/20 + t**3\/5 - 19*t + 23. Let l(x) be the first derivative of n(x). Factor l(u).\nAnswer: -3*u*(u - 1)*(u + 1)*(u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -8 + 8 + 6 - 2*b + 9. Let l be c(7). Solve -j + l = -0*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 422, 845, 1268?\nAnswer: 1691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/5)\/((-20)\/300)*(-22586)\/(-3928).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 7 - 20 + b**2 - b + 2*b. Let y be r(-6). Suppose -4*q = -y - 51. Is 5 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 46772000 to the nearest 100000.\nAnswer: 46800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1452148 by 3.\nAnswer: 1452148\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.012018474557 rounded to seven dps?\nAnswer: 0.0120185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 8. Which is the second biggest value? (a) 13 (b) 6 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of 0 - 1\/6*v**3 - 3*v**2 + 0*v - 1\/24*v**4. Determine j(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*u = 260520131 + 235949869. What is u rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + n**2 + (n + 0*n - 2*n)*(n + 3*n - 2*n) - 3*n**2 + n**2 - n**2 + (6*n - 2*n - n)*(-n + n - 2*n) + (n + 0*n + n)*(n + n + 0*n).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 131238 divided by 6.\nAnswer: 21873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 + 32. Suppose 3*q + 5 = -5*n - q, -4*q = f*n + 8. Let l(y) = 2*y**3 - y**2 - 6*y + 5. What is the units digit of l(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z + 1. Let w(i) = 5*i + 2*i**2 + 2*i**2 + 2*i**2 - 5*i**2 + 3. Suppose -9*r + 5*r + 8 = 0. Determine r*w(g) - 5*v(g).\nAnswer: 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a century in months?\nAnswer: 14100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 1092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 819 + -818. Let y be v\/6 + 78\/(-144)*4. Sort 5, y, 6.\nAnswer: y, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4939 by 371.\nAnswer: -4939\/371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.4? (a) 4 (b) -13 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/231)\/(52\/(-78)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 9:42 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1857338?\nAnswer: 2, 7, 132667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -61 and -60 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2566\/(-282260))\/((-9)\/(-30)).\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1440, 1798, -4, 2 in descending order.\nAnswer: 1798, 4, 2, -4, -1440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 6*s**2 - 23*s + 2. Let x be q(4). What is the nearest to 5 in -4, 0.3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3 = -3*u - 21, 5*n - 2*u = 21. Let s be 3*(2 - (-2)\/(-3)). Suppose d = -s*d + 10. Solve -5 = -d*o - a, a + n = 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 82 + -51. Calculate the remainder when 90 is divided by a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.026294 to 3 decimal places.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.107 + 5.107. Let q = 4.9862 - z. Round q to 3 decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 2729*m + 24668. Give s(-9).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 3 + 6)*(-2*b**2 + 3*b**2 - 2*b**2) + 0*b**2 + 2*b**2 - 3*b**2)*(38*b + 48 - 48).\nAnswer: -76*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**2\/3 + 1679*b\/3 + 214060\/3 = 0.\nAnswer: -1540, -139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/(-3) - -44*(-29)\/(-116).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -74, -78, -62, -20, 54, 166, 322?\nAnswer: 528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -62, -116, -212, -362, -578?\nAnswer: -872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of 0*l - l**2 + 5\/6*l**4 - 7*l**3 - 1\/30*l**5 + 60. Factor t(m).\nAnswer: -2*(m - 7)*(m - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3688 times 6.85?\nAnswer: 25262.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1 + sqrt(605) + 5 - 5*((sqrt(20) - -5*(sqrt(20) + sqrt(80))) + sqrt(20))\/sqrt(4))**2 + 1.\nAnswer: -740*sqrt(5) + 27406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 160 + -47. Calculate the remainder when g is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 - -19. Let h = z - -42. Suppose 3*u + 2*y = -2*u + 18, 5*y = u + 18. Solve 0 = -5*p - h, u*n + 3*p - p = -8 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -123, -272, -491, -786?\nAnswer: -1163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 16*l**2 + 3*l - 14. Let t be (-2)\/(-6) + (-564)\/(-36). Let k be m(t). Let c = 143 - k. List the prime factors of c.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 11:57 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 4*d - 279, d + d - 6 = 0. What are the prime factors of q?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/((-7)\/(-27)) + -17 + 20. Let s = -1573 + 1578. What is the nearest to -0.1 in 0, s, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from krrkvvkrkvkvkrkv. Give prob of picking 2 r and 1 k.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -4*z - 8. Let b(s) = -s - 2. Let u be b(-5). Suppose 7*a + 4 = u*a, -5*a = 3*q + 17. Calculate the remainder when g(q) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -f + 34*f + 4*f + (-3 + 1 + 6)*(1 - 1 + 2*f) in the form h*f + o and give h.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 11 - 5 = 0, -5*f = -3*d - 151. Calculate the remainder when f is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**2\/7 - 9446768*y\/7 - 11155178205728\/7 = 0 for y.\nAnswer: -2361692","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*o**3 - 176*o**2 - 63*o - 5770564.\nAnswer: -18*o**2 - 352*o - 63","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 3448874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -3. Suppose 4*d = -z + 36. Find the third derivative of -d*n**4 + 9*n**3 - 8*n**2 - 9*n**3 - n**4 wrt n.\nAnswer: -240*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13265 rounded to 3 dps?\nAnswer: 0.133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y - 19. Let i be b(11). Suppose 5*o + 3 = 18. Suppose -11 = -o*q + 4. Solve -25 = q*w + 5*t, -t = -0*w - 3*w - i for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -355 + 411. Which is the smallest value? (a) -5 (b) 0.2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 379 = -469. Let p be 275\/6 + -2 + (-5)\/(-10). Is v less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -6*b + 5*f, -17*f - 2 = b + 4*b - 20*f for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208512277.\nAnswer: 208512277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -215 + 124. Let j = m + 12. Let l = j - -112. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/8492 and 53\/4094688.\nAnswer: 45041568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 17. Which is the biggest value? (a) -0.3 (b) -2\/7 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 3*j - 20 = -j, -5*d + 36 = -2*j. Let l be (-140)\/(-8)*d\/5. Solve -u + 5*x = -l, 5*u - 3*x = 9 + 21 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*b = -459*b + 1428 + 1197 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 23*x + 244. What is o(-11)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k - 4*k. Put 6, -4, k in increasing order.\nAnswer: -4, k, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p**2 + 167960*p + 3361200 = 0. Calculate p.\nAnswer: -20, 33612","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27 and -3 + 0 + (-84)\/(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 17, 5, -0.2, 0.35?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3886544 equal to 3886556?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/84 and 62\/175.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from qnyyrqhqhrvrrn.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 3*n + 18, -48 = 4*z - 0*n - 4*n. Let d = 0 - z. Suppose 0 = -5*c - 3*u + 135, -18 - d = -c + 2*u. Does 7 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5*z = 32, k - 5*z + 6 = -10. Suppose 39 = 4*o - 93. Let f = o + -15. Calculate the smallest common multiple of k and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 3*g - 13, -f + 15 = -2*g + 6*g. Let q be 1 + (0 - 0 - 0). Put g, q, 0 in ascending order.\nAnswer: 0, q, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 670810462 a multiple of 1245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6544*f + 6003*f + 541 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 18*a - 5. Let s be o(17). Let j be 5\/(-5) - s - 1. Let p be (j\/(-21))\/((-1)\/18). Is -12 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1499*m - 211631 - 146296 = 802*m - 91011 for m.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 10) to base 11.\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 0*i - 11 = 0. Let l be (-2)\/(9*(-21)\/378). What is the first derivative of 21 - 2*m**4 - i + 31*m**l wrt m?\nAnswer: 116*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*b**3 - 6*b**2 + 0 - 2 - 2*b - 4 - 33*b**3 + 7*b**3 to the form d*b**3 + n*b**2 + o + t*b and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(24)\/(sqrt(84)\/(sqrt(21)\/sqrt(3) + sqrt(7))) - (sqrt(1800) + sqrt(1800)*2)\/sqrt(9)).\nAnswer: 84*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001110010001100111100000111 - 0?\nAnswer: 1001110010001100111100000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 411527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 682411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1106678, 1106674, 1106670, 1106666?\n\"Answer: -4*s + 1106682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 203 divide 59747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3623233, 3623228, 3623217, 3623200?\n\"Answer: -3*z**2 + 4*z + 3623232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*n - 86 = 2*p, 87 = -3*n + 3*p. Let k be (-3)\/(n\/(-16918084))*-2. Let v = k + -17929521. Round v to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.67432 rounded to two decimal places?\nAnswer: 2.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 15*u + 23. Let i be q(13). Let w = 4 + -1. Suppose g + 7 = 2, -2*j = w*g + 23. Is i < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23097 - 23051. What is the remainder when 180 is divided by w?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45144 and 4180?\nAnswer: 225720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -475269 or -475326?\nAnswer: -475269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 15 = -n, -2363*n + 3*l - 10 = -2364*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and 1.011.\nAnswer: 4.011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 24133532 (base 6) in base 2?\nAnswer: 10111001010011100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(2) - (sqrt(288) + 1) - (sqrt(2) - (sqrt(288) + 1*sqrt(288)))) - (sqrt(288) + -1*sqrt(288) + 5 + -5))**2.\nAnswer: -216*sqrt(2) + 2601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60598 + 7935 = -17*i + 13382. Calculate the greatest common factor of 105 and i.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) + 5 + sqrt(1900))*4.\nAnswer: 20 + 80*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 433, 272, 111?\n\"Answer: -161*s + 594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 6*u - x = 3, 5*u - 3 = -4*x for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2604*-4\nAnswer: -10416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2*sqrt(343) + sqrt(343))**2 + sqrt(343) + (sqrt(343) + -1)**2*-2.\nAnswer: -345 + 35*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 6 = -5*m, 7*m - 10*m = 12. Calculate the smallest common multiple of 262 and y.\nAnswer: 1834","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 74. Let m = -73 + k. Let i be (206 + 1)*m\/(-6). What is the highest common factor of 23 and i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 10*k + 9. Let q be m(6). Let p = q + 43. Suppose j - p = -3*j. Solve 3*s = 3*n + 4*s + j, n + 7 = -5*s for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, l: 1, o: 2, j: 1, g: 1, u: 2}. What is prob of sequence gujl?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 5:43 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6678381435 a multiple of 15747?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 34851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265240 is divided by 132614.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hlq when three letters picked without replacement from qlh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -200921 - -348340. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122 - 138 - (-22 + 1) - (0 + 1 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5419 minus -282.02?\nAnswer: 5701.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -335107456 + -0.281.\nAnswer: -335107456.281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 39 = i, a + 53524*i = 53522*i - 15 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3668498*c - 9539791 wrt c.\nAnswer: 3668498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 23037919.56 to the nearest ten thousand.\nAnswer: 23040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -347*s + 343*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3689, -2, -3, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*m + 9 + 12 - 24*m)*(-16*m**2 - 11*m**2 + 0*m**2).\nAnswer: -27*m**3 - 567*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/3))**47\/(g**(-1\/5))**(-16) assuming g is positive.\nAnswer: g**(-518\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -114 + 56. Let g = -136 - -79. Is c at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -1021201130?\nAnswer: 1021201123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 34\/5 of a milligram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -369539 (base 12) to base 8\nAnswer: -3304675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*y = -5*s + 26, -3*s - y = -14. Suppose 0 = 3*k - s - 10. Solve -20 = 5*a + k*n, -2*n = 3*a + 5 + 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -48 - -60. Let i be 56\/(-273)*9\/h. What is the second biggest value in i, 5, 2\/33?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 135608 and 2429812.\nAnswer: 325594808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6702096 is divided by 11883.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 1, 0, -35, -1, 71 in increasing order.\nAnswer: -35, -1, 0, 1, 17, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 345, 689, 1033, 1377, 1721, 2065?\n\"Answer: 344*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*l = w + 818, 0 = -3*w - 5*l - 1223. Let c = w - -2144. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300*a = 103*a - 251*a + 896 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14 - 0.7203536?\nAnswer: -0.8603536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m*m**(-1)*m)*m*m*m*m**(-1\/3)*m assuming m is positive.\nAnswer: m**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77095?\nAnswer: 5, 17, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2462.9 + 2463. Let z = -3 + 3. Put v, 5, -120, z in ascending order.\nAnswer: -120, z, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 167*p. Let r(h) = 6*h. What is r(t(x))?\nAnswer: 1002*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1379293558?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -11613a2?\nAnswer: 11613a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/3)\/((-14)\/(-168))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/17154 and 101\/23306568?\nAnswer: 69919704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -0.14, -9\/2, -0.0331?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1116 divided by 6.\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15.3851 and 0.1?\nAnswer: -1.53851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/9 (b) 0 (c) -98\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -22*t - 7. Suppose 104 = 7*a - 11*a. Let m = -34 - a. Let k(b) = 33*b + 11. Let p(u) = m*z(u) - 5*k(u). What is p(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 29606 + 28926 = 0. Let w be (-102)\/12*4\/(-1). What is the greatest common factor of w and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46750 and 471130.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 322407881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 99, 31, 1\/4, -3.4 in decreasing order.\nAnswer: 99, 31, 4, 1\/4, -3.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = n + 3*l, 0 = 3*n + 4*l - 7. Let y be (13 - 14)*(n - 6). Put y, -1, -20 in ascending order.\nAnswer: -20, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-236)\/(-12) - (-6)\/18. Calculate the highest common factor of 170 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 12*f + 30. Calculate q(-22).\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/7, -11, -6, 9\/184?\nAnswer: 9\/184","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -3815.148 to the nearest 100.\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -50760*b - 36648713. Calculate j(-722).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-2) - (-15)\/2. Let r = -5 + 3. Let i = g + r. What is the remainder when 11 is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + (-10)\/(-2))\/(53 + -52). Suppose -g*f + 11 + 14 = 0. Suppose 4*q - 5*d = 122, -36 = 4*q - f*q + 4*d. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x. Let i = -1 - 2. Let l be (1 + 2)\/(-3) - i. Let b(f) = 0*f - 2*f**l + 0*f. Calculate b(s(u)).\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 4*k**2 - k. Let h be p(1). Suppose 3*x = -w + 5, -w - h + 2 = 0. Suppose -u - 4 - x = r, -2*u - 10 = 0. Do r and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 877 by 2016.\nAnswer: 877\/2016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5368 divided by -1342?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -6*w + 5. Determine g(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5004396 and 3564.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -44688 take away -9228679?\nAnswer: 9183991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1293 is divided by 431?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, j: 3, l: 1, a: 3, c: 2, s: 3}. What is prob of picking 2 j and 1 p?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 86857524.3 to the nearest ten thousand.\nAnswer: 86860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 8:13 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(245) + 1 - sqrt(30)\/sqrt(726).\nAnswer: 1 + 76*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (156\/10)\/(33\/(-5) + 7). Which is smaller: w or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -22d7 - -2?\nAnswer: -22d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*s + j, -20 = 4*s + 2*j + 2*j. Suppose s = -g + 72 + 11. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/21 and 55\/636?\nAnswer: 4452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 533, 309, -73, -619, -1335, -2227?\n\"Answer: -n**3 - 73*n**2 + 2*n + 605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9ca (base 16) in base 11?\nAnswer: -1979","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 + 382768*x + 90940692.\nAnswer: -4*(x - 95929)*(x + 237)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 4:57 PM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77465*c = -77469*c + 3*d + 11, -5*c + 4*d = -13 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 49*x**2 + 591*x + 3. Let q be f(-10). Which is the nearest to q? (a) -0.4 (b) 2\/17 (c) 1\/24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 175155735 by 5.\nAnswer: 35031147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 796477278?\nAnswer: 2, 3, 132746213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*r**6 + 6*r**4 + 2*r**3 - 199*r**2 - 4 wrt r?\nAnswer: 840*r**3 + 144*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*r + 16*r = -4*h - 20, 7*h + 9 = 3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 132319?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z + 6. Let b be n(-3). Solve -3*i = l + 4, i + b*l - 2*l = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11, 160, -0.2, -29, -2\/13?\nAnswer: 160","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -6, -2, 3, -498 in ascending order.\nAnswer: -498, -6, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of t**7\/2520 - t**5\/30 + t**4\/12 - 6*t**2. Let y(b) be the second derivative of j(b). Calculate y(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 280 - 280.4. Let d be -4 + 2 + 2 - 5. Let w = -0.1 - 0. Which is the nearest to -1\/2? (a) d (b) w (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7389.116 days to minutes.\nAnswer: 10640327.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -76 - -4911. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1377) - sqrt(1377)*-1)*-4 - sqrt(1377))*5)**2 + 6*((sqrt(1377)*-1 + sqrt(1377))**2 + 2).\nAnswer: 2788437","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 109*i**3 - 411*i - 96*i**3 + 413*i. Let p(q) = 66*q**3 + 11*q. Calculate -22*n(l) + 4*p(l).\nAnswer: -22*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17732 by -341.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*m + 116 = 3*t + 131, 2*m + 4*t + 20 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -15549858 + 389.298?\nAnswer: -15549468.702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 49.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1886.5 + -1887.2212. Round g to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1815, -3630, -5445, -7260?\n\"Answer: -1815*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20083142 is divided by 2388.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) 6\/5 (c) -377\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 195*t**4\/8 - 42583*t**3\/4 + 1600755*t**2\/8 + 532863*t\/2 + 26271\/2 = 0.\nAnswer: -6\/5, -2\/39, 21, 417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*i - 5*i = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*o**3 + 10*o**3 + 7*o**3 - 52607*o + 21*o**3.\nAnswer: 2*o**3 - 52607*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -40\/43351?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -12184, 0, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28031.\nAnswer: 28031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/7167897 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4 = b, 2*b = -4*u + 80. Is u a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - 2 - (2 - (-4 + 2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 880134215?\nAnswer: 5, 23, 199, 38459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -216468\/11 or -19680?\nAnswer: -216468\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 256*d - 14356. What is s(173)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29108 + 29109. Let t = -0.1 - -0.1. Let x = -0.1 + t. Which is the biggest value? (a) -3 (b) x (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 3*h**2 + 13*h - 25. Let d be p(7). Suppose -d*i + 250*i + 156 = 0. Calculate the remainder when i is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1214218 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nmxrxxmnxxxerrxxrnn. Give prob of picking 1 m and 2 n.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 4*p - 6. Let n(f) = 3*f**2 + 11*f + 17. Let j(z) = 17*m(z) + 6*n(z). Let c be j(2). Suppose -2*h + c*h = 0. Solve h = 3*q - 4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+4268.044\nAnswer: 4268.444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 275? (a) 0.5 (b) 1\/6 (c) 0.07 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 375875.\nAnswer: 4134625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus -118028.5950561?\nAnswer: -118027.5950561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1703 - -5aa?\nAnswer: -1159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000106 to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17080611?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*l**3 - 3*l - 197*l**2 + 17*l - 8*l - 6*l wrt l.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -741 = -33*o - 420 - 816 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.905532 rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 0 + 3 + -2. Let t be (8\/16)\/(2*a). Factor -1\/4 - t*w + 1\/4*w**3 + 1\/4*w**2.\nAnswer: (w - 1)*(w + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -64, 0.2, 1\/112, 1, -5?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10063870 is divided by 718845.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*f - 123 = -6*s, -3*s - 4*f + 77 = 0. Let b(v) = -25*v + 573. Give b(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4215 + 92715\/22. What is the common denominator of 11\/5 and d?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 x when two letters picked without replacement from {w: 3, x: 12, i: 3}?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 23965, 3 in increasing order.\nAnswer: 3, 32, 23965","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -2122712?\nAnswer: -3\/2122712","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a century in months?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 30*k - 1. Let m(c) be the first derivative of -25*c**3\/3 + c**2 - 2769. Calculate m(l(g)).\nAnswer: -22500*g**2 + 1560*g - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t. Let r(l) = -17*l. Let s(f) = 3*f. Let y(i) = 6*r(i) + 51*s(i). Determine y(b(o)).\nAnswer: 102*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/5, -27, 0, -5, 4.08, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -u - 4. Let b = 0 - u. Sort 5, b, 0 in ascending order.\nAnswer: 0, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q + 5 = 13 - 80 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**3 + 11*h**2 - 3*h - 182. Let i(b) = b**3 - 5*b**2 + b + 89. Give 7*i(c) + 3*o(c).\nAnswer: c**3 - 2*c**2 - 2*c + 77","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-10))\/(12\/180).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16937, -17184, -17443, -17720, -18021?\nAnswer: -18352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 18 - 33*c)*(2*c**2 - 3*c**2 - 3*c**2).\nAnswer: 132*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1115?\nAnswer: 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*w**2 + 3*w - 6 - 698*w**4 - 18*w**2 - 3*w**3 + 695*w**4.\nAnswer: -3*(w - 1)**2*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-2)*1*14\/21. Let k be (1050\/(-100))\/((-3)\/q). Solve -4*t + 4*r = 0, k*r - 3*r - 20 = -t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -16*w + 118. Let f(o) = 17*o - 105. Let y(q) = -9*f(q) - 8*s(q). Let j(x) = -25*x**2. Give y(j(l)).\nAnswer: 625*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 887*n**4 - 1256 wrt n.\nAnswer: 3548*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, n: 3, e: 3, x: 7}. Give prob of sequence nsn.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.006 - -54.006. Let y = w - 53.999961. What is y rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/51 and -14\/135.\nAnswer: 2295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -41 + 51. Suppose -g*o - 42 = -38. Sort 3, 2\/15, o, 0 in ascending order.\nAnswer: o, 0, 2\/15, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/6 + 685*k**2\/2 - 350889*k\/2 - 1058841\/2.\nAnswer: -(k - 1029)**2*(k + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98878.63nm to millimeters.\nAnswer: 0.09887863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199024?\nAnswer: 2, 7, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/11)\/p)\/(p**(3\/2)\/p))**(2\/7)\/((p\/((p*p*p*p**(-1\/4)*p*p)\/p*p))\/(p\/((p*((p\/p**(2\/7))\/p*p)\/p)\/p))*p**(1\/8)\/p*p*p**(-3)) assuming p is positive.\nAnswer: p**(663\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178 = 33*b + 13 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d**2. Let j(f) = 2*f + 12. Let n be j(-5). Let x(p) = -5 + 3 + 2 - n*p. What is q(x(k))?\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18881 - 10214. What is the highest common factor of w and 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (2 + 1)*(-15)\/(-9)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -x - 7740005, 4*w - 8*x = -4*x + 15480020. What is w rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*i**2 + 50*i**2 - 27*i**2 - 2*i**3 + 18*i + 3 - 2*i - 8 to the form a*i**3 + o*i + k*i**2 + h and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 y when two letters picked without replacement from yppppoipyypynoiyyp.\nAnswer: 14\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millennium in decades?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((17\/(-14))\/((-40)\/560))\/(56\/8)?\nAnswer: 17\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14407120 to the nearest integer?\nAnswer: 3796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - x + 5. Let i be z(4). Let h = i - -35. What is the units digit of -1 + (-3 - 0) + h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2299) + 4 + -2*(sqrt(2299) + (sqrt(2299) - sqrt(2299)*1)) + 3 + 3 + 3 + 1*sqrt(2299) + 2)**2.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 4*n - 4 = m, 4*m = 3*n + 3. Solve -2 = -t - m for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of 0*x - 8*x**2 + 7\/30*x**5 + 1\/12*x**4 + 0 - 1\/6*x**3. Let u be v(1). Calculate the greatest common factor of 165 and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19098?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 47*u**2*v - 9164490*u**2 + 4360*u*v - v wrt v?\nAnswer: 47*u**2 + 4360*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) - (sqrt(204) + 1*(sqrt(204) + sqrt(204) + sqrt(204) + 6*sqrt(204))))*6)\/((sqrt(36)\/sqrt(3) - sqrt(12))*-5 - sqrt(24)\/(-1*sqrt(2))).\nAnswer: -54*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 50050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u + 96 - 192 + 104. What is t(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f + 4*f + 5*f - 4*f.\nAnswer: 11*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -160453, -320874, -481263, -641620, -801945, -962238?\n\"Answer: 16*b**2 - 160469*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uc when two letters picked without replacement from ukuccccu.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-27)\/6*8 + -4. Let w = u - -68. Let s = -18 + w. Calculate the highest common divisor of s and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54, 102, 146, 186?\nAnswer: 222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/5, 3, 1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 629 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 36 + 0 = 0. Let h = 1.2 + 0.8. What is the closest to h in w, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1415944316?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 + 37 = 12*r + 25 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b + 33*b - 11*b - 14*b - 6*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3052 and 7.\nAnswer: 3052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n + 3*n + 7*n)*(1 + 5 - 3)*((-2*n - 2*n + 5*n)*(-3 - n + 3) + 2*n**2 - 3*n + 3*n + (-n**2 + 5 - 5)*(-5 + 2 + 5) - 65*n**2 - 8*n**2 + 13*n**2).\nAnswer: -1098*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3106513 - 412?\nAnswer: 3106101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 225*a + 125 = -156*a, 4*a - 31 = 3*r + 16 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4162596 is divided by 4162525.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7329 and 101559?\nAnswer: 710913","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 29458588561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0068380116 to six dps.\nAnswer: -0.006838","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31540 and 180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 3 = -2*p + l, -5*p + 7 = -3*l. Suppose -5*b - 2*q = 289, -p*q - 3*q = -2*b - 133. Let s = 77 - b. What is the greatest common divisor of 17 and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/32 and 93\/852736.\nAnswer: 852736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*z - 54 = 90*z + 89 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) + sqrt(363) + -4*sqrt(363) + (-5*(-3 + sqrt(3)))**2 + sqrt(3))*3 + -3.\nAnswer: -513*sqrt(3) + 897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -307454 - -307455. Let r = -1117\/650 + 42\/25. Does o = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*g**4 - 17*g**2 - 6 + 34*g + g**3 - 254*g + 4 - g**3 wrt g.\nAnswer: -48*g**2 - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/6 + 624\/9. Suppose -5*m + j = 10. Calculate the lowest common multiple of 6 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - -15)*10\/4. Suppose 17*u = 15*u + r. Let q(a) = a**2 - 3*a. Let d be q(4). Solve 0 = k + d*k - u for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1b6959 (base 12) to base 2\nAnswer: 1110111010011010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppcpoopcccc. What is prob of sequence cpc?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + 0. Suppose 0 = 5*l - 0*l - v - 1891, -1500 = -o*l + 4*v. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1894 < 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**4 + 24*l**3 + 12*l**2 - 64*l - 48.\nAnswer: -4*(l - 6)*(l - 2)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4031226um to centimeters.\nAnswer: 0.00004031226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 7*f + 1)*(5*f**2 - 4*f**2 + 0*f**2).\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k = -2*k - 40. Let w be -5*((-3)\/(-6))\/(1\/k). Which is the second biggest value? (a) 0.1 (b) w (c) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13791800 to the nearest one hundred thousand.\nAnswer: 13800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*z = -562 - 510 - 1227 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 11) to base 5\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence alaa when four letters picked without replacement from aaaalaaaaaaaaaaalaa.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.46 + -5.76. What is the closest to -2\/7 in -3, -5, u, 3\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -9*l + 50. Let z(t) = t**3 - 76*t**2 - 154*t - 151. Let b be z(78). Calculate y(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiccici. Give prob of picking 3 i and 1 c.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 139 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 1245231?\nAnswer: -1245231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26130 and 212055?\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nizizgiiiiigdi. Give prob of sequence zii.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -9*t**2 + 1166*t + 68. Let k(v) = -5*v**2. Determine r(k(x)).\nAnswer: -225*x**4 - 5830*x**2 + 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (-1074 - -1042 - (-126 - -1)).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 2*v**5\/3 + 136*v**4\/3 - 563*v**3\/6 - 203*v**2\/6 + 244*v\/3 - 70\/3 = 0.\nAnswer: -70, -1, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -r**8\/336 - r**7\/210 + r**6\/60 - 59*r**2. Factor w(k).\nAnswer: -k**3*(k - 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (16\/30)\/((-374)\/1848). Let a = -4\/17 - k. Are a and -0.6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 10*q + 11. Let y be d(9). Find the third derivative of -3*n**2 - n**4 - y*n**4 + n**4 wrt n.\nAnswer: -48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k + 152*k - 33428 = -18*k - 111*k for k.\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r = 5*r + 15. Suppose l = -3*l - 20, r*l = 4*c - 171. Calculate the remainder when c is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1247, 2491, 3735?\nAnswer: 4979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 83, 1, 3, 576, 0?\nAnswer: 576","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 10 = 3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 9*n**3 - 17*n**2 - 17*n + 17. Let i(s) be the third derivative of s**6\/120 - s**5\/30 - s**4\/12 + s**3\/3 - 13*s**2. Determine -6*h(l) + 51*i(l).\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 344036?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 + 41. Suppose -5 = -5*h + 10. Find the third derivative of -33*b**h + b**2 + 29*b**3 - 5*b**r wrt b.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 5*m**2 - 9*m - 7. Determine u(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*p = -9, -j + 1 = 2*p - 2. Solve -j*o + 4 = 13 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/(-1320))\/(((-42)\/(-12))\/7))\/(9\/18)?\nAnswer: -2\/165","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**4 + 2*a**4 - 5*a**4 + (-2 + 1 + 3)*(1 - a**4 - 1) + a - a - a**4 + (-2*a**3 + 2*a**3 - a**3)*(37*a - 71*a - 89*a) + a**3 + a**4 - a**3.\nAnswer: 117*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 368820 to the power of 1\/2, to the nearest integer?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 4*c**2 + 7*c. Let m(h) = h**2 + 2*h. Let d(f) = -14*m(f) + 4*s(f). Let j be d(2). Let k be 15\/6*6\/5. Solve k*y - 4 = j for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -1061?\nAnswer: -1057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -166*a**3 + 2*a**2 - 5*a + 10. Let p(i) = -2*i**3 + i - 2. What is -n(o) - 5*p(o)?\nAnswer: 176*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 15*g**3 + 77*g**2 + 14*g + 5. Let u(k) = -7*k**3 - 35*k**2 - 7*k - 2. Let r(d) = -13*u(d) - 6*y(d). Calculate r(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 2 = 4*c + 22, 3*x - 7 = 2*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(-1 - z**2 + 1) - 4*z**2 + 2*z**2 + 0*z**2 - 1230*z**2 - 10960*z**2 - 3129*z**2.\nAnswer: -15322*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = 2*g. Let z be (-4)\/g + 51\/24. Sort -4, z, -2\/11 in descending order.\nAnswer: z, -2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28824 + 28824.04. Which is the third smallest value? (a) u (b) 0.1 (c) -892\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -21*j + 10. Let g(k) = -4*k + 2. Let h(i) be the first derivative of -i**2\/2 - 2*i - 3. Let a be h(-11). Let n = 7 - a. What is n*y(r) + 11*g(r)?\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (150\/120)\/((-2)\/(-8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 62 (c) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from jjjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 82*a + 35. What are the prime factors of h(-39)?\nAnswer: 2, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 8, m: 4, f: 2}. Give prob of sequence fm.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.25 - 6.95. Let l = 0.7 + q. Suppose 3*y - 5 = 7. Which is the closest to -0.1? (a) 1\/3 (b) y (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1121090 is divided by 366?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1315416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2*m - 53 = 0, -4*i = m - 26 - 14. Suppose 4*k - i = 3. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -2026, 0, -2, 97, 3 in decreasing order.\nAnswer: 97, 3, 2, 0, -2, -4, -2026","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 5 (c) 12 (d) -1\/5 (e) -525 (f) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -15*r**3 - r**2 + 5*r - 8. Is b(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 7*v**2 - 11*v + 16. Let k be j(2). Does 55 divide (21 - k)\/(2\/(-770))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 797567610071?\nAnswer: -797567610071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/8)\/u*u*u\/(u**(-3)\/u)*u**13\/((u*u**7)\/u) assuming u is positive.\nAnswer: u**(89\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**2*x**(-4)\/x)\/(x**(-2)\/(x**(-8)*x))*((x**(-1\/2)*x)**(-14))**(-1\/6) assuming x is positive.\nAnswer: x**(-41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 5*x - 350. Let z = x - 48. Suppose 0*j + 4199 = 4*j - 3*q, 0 = -5*j - z*q + 5243. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 4*u - 7)*(5 + 40*u - 51*u - 5*u) to m*u**2 + g + s*u and give s.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 167, 5, -3 in increasing order.\nAnswer: -3, 5, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 417800 - 60188976.\nAnswer: -59771176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (90 - 53) + (-5 - -5 - 8) - (8 - 0).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -107.81 - -5650642.\nAnswer: 5650534.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -83*o**8\/112 + 26*o**5\/15 - o**2 + 2. Find the third derivative of r(l) wrt l.\nAnswer: -14940*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -292, -288, -282, -274, -264, -252, -238?\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*i + 200*i - 417*i = -375 for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 7 = 2*v, 5*o = -30*v + 33*v. Put -119, -1, o in ascending order.\nAnswer: -119, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 123542.\nAnswer: 247084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46096, 46255, 46506, 46849, 47284?\nAnswer: 47811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6825 + 7207. What is the remainder when l is divided by 40?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6793.309 millennia in months?\nAnswer: 81519708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 479 is divided by 50.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.662438kg to milligrams.\nAnswer: 2662438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 63*s = 8906. Let d be (-68)\/(-24) + (-1)\/(-6). Suppose -3*y = 4*o - 364, -2*y + 125 = -d*o - s. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1652 is divided by 4\/(-58) + (8 - 5499\/(-261))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13908*r**5 - 64*r**4 + 8*r**3 + 400167280*r**2 wrt r?\nAnswer: 834480*r**2 - 1536*r + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dvvdydvsvdzdn. What is prob of picking 2 z, 1 v, and 1 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.02, -6, 91, -0.041, -9?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**2 + 5*u - 5. Let t be 2\/(-6)*(-6)\/2. Let a = t + 1. Suppose -a*q - q + 24 = 0. Let f(c) = -3*c**2 + 8*c - 8. Determine q*m(x) - 5*f(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 4:29 PM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -49*j. Let p(g) = -537*g**2 - 64. Calculate n(p(s)).\nAnswer: 26313*s**2 + 3136","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 - 11960*x - 2720064.\nAnswer: -4*(x + 248)*(x + 2742)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -2*c + 28, -24 = -3*c - 3*x - 0. What is the remainder when 47 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60 + 61. Let l be (1 + 4)*(-3)\/(-5). Solve h = -l*v - 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -y**5\/20 + 2*y**4\/3 + 5*y**3\/3 + 2*y**2 - 179*y. Determine o(9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*n**2 + 20*n**2 - 75*n**2 + 14*n**3.\nAnswer: 14*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 32*a**2 - 462*a + 63. What is the hundreds digit of v(-38)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3996 = 33*r - 21*r. Is 27 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-128)\/(-132))\/2 - 7*38\/399. Let z(j) = j - 1. Let i be z(-4). Sort -3.4, k, i.\nAnswer: i, -3.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*h + 3190 - 3163. Solve 0*i - 54\/5 + 16\/5*i**h + 36\/5*i**2 + 2\/5*i**4 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -5*f**5 - 285*f**4 - 5270*f**3 - 33510*f**2 - 52325*f - 23805 = 0.\nAnswer: -23, -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112000022001 (base 3) in base 15?\nAnswer: 10e29a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1530 + -1526. Let q = -31 + 30.66. Let b = -0.16 + q. Sort b, o, -0.09 in decreasing order.\nAnswer: o, -0.09, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667945 to the power of 1\/2, to the nearest integer?\nAnswer: 817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t - 1. Let d(r) be the first derivative of r**3\/3 - 5*r**2\/2 + 2*r + 3. Let u be d(5). Let c(s) = 7*s + u*s + 8 + s. Determine 8*b(a) + c(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/289 bigger than 509.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 80171*u**5 - 76127*u**2.\nAnswer: 4810260*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*p + 5053 = 4*a, -8425 = -5*a + 5*p. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17252 + 18302 = -766*g - 1328*g + 14614 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 70380913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8\/21 of a week?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/788 and 13\/11.\nAnswer: 8668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (52 - (-17 - -42))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -2*w, -w - 2*s + 5 = -0*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10485 - -18539. Let w = h + -4223. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6690 - 4327. Suppose 571 = -4*k + q. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2030.032um in nanometers?\nAnswer: 2030032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 - 17. Calculate the highest common factor of 80 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w + 7. Suppose 0*o - 2*o = -4*m - 30, 52 = 3*o + m. Suppose f = -3*i + o, i + 21 = 8*f - 3*f. Calculate j(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*m + 1711 = 611. Solve -m*a - 76 = -39*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-87 + 39 + 47)*(p**4 - 2*p**4 - p**4) in the form a + y*p**4 + i*p**2 + o*p + k*p**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4190651.1ms in hours?\nAnswer: 1.16406975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6498 or 6541?\nAnswer: 6498","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1123.4 to the nearest integer.\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4098.1 - -4098. Which is the nearest to r? (a) -2\/267 (b) 0.3 (c) -3\/2 (d) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 102*o.\nAnswer: 102*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)*-1)\/sqrt(7) + sqrt(24))\/(sqrt(48)*-4) + 3 - 6*((-4*(sqrt(72) + 0) - sqrt(72)) + 2)**2.\nAnswer: -10821 + 720*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 345.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 20*m + 11 = 0. Let z(r) = -9*r + 2 + m + 5*r - 1. Determine z(-6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5641*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-33)\/1)\/((-441)\/42).\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1344)\/(-320)*20\/6. Let k = q - -65. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*j - 7 - 12 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2412818 years in centuries?\nAnswer: 0.002412818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.270668 - 1.259. Round j to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 817, 1529, 2241, 2953, 3665?\n\"Answer: 712*k + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f + f - 5*f + 9*f**2 + f - 2. Let g be n(-1). Suppose 18 = 3*j - j - m, 0 = -j + 3*m + g. Is 5 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 - j + 14010*j**2 - 14009*j**2 + j**4 + 32*j**3 + 15 to i*j + c*j**4 + m + f*j**2 + s*j**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 79 + -74. Suppose 4*i - m*i = 3. Let j be (i\/12)\/(1*1\/(-8)). Solve 4*u - c = -j, -3*c - 1 = 2*u - 7 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -2*q**4\/7 - 1426*q**3\/7 - 48348*q**2 - 3803240*q + 3851792 = 0.\nAnswer: -238, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of p**4\/66 - 8*p**3\/33 + 12*p**2\/11 - 39*p + 3. Find d, given that y(d) = 0.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 300886, 602515, 904142, 1205767, 1507390, 1809011?\n\"Answer: -z**2 + 301632*z - 745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -513 - -1195. List the prime factors of m.\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 12*w - 3. Let s(z) = 12*z - 2. Let y(a) = 5*p(a) - 6*s(a). Let g(c) = c**3 + c**2 - 3. Let k be g(0). Does 17 divide y(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*i - 235 = 0. Let l = 65 + 10. Let k = l + i. Is k a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 2*y - 7*y)*(-4*y + 4*y + y**3) + 195 + 983 + 89 - y**4.\nAnswer: -4*y**4 + 1267","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 114429 - 44311. List the prime factors of w.\nAnswer: 2, 35059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 405 and 1934469?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -4\/3, 0.3, -700, -4\/7, -1\/44?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 3:23 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2534, -2519, -2476, -2387, -2234, -1999?\n\"Answer: 3*c**3 - 4*c**2 + 6*c - 2539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 8*n - 22. Let r be p(3). Suppose -r*x - c = 2*c + 510, -482 = 2*x - 4*c. Let y = -29 - x. What are the prime factors of y?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 - (155 - 79 - 77)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) -0.3 (c) -5 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10944732 divided by -6.\nAnswer: 1824122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 712.5659 years in centuries?\nAnswer: 7.125659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - 127*m + 66476. Give b(-329).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -17218, -18356, -19494, -20632, -21770, -22908?\n\"Answer: -1138*v - 16080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1215 by 27.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/113432 and 41\/272.\nAnswer: 3856688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (((-117)\/(-352))\/(8\/96) - (-287)\/(-41)).\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence njp when three letters picked without replacement from pjggfpnfggppfpgfgpf?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 57452*v**3 + 92*v + 2 wrt v?\nAnswer: 344712*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11477092?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 724.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 389 = -h, j - 102*h = -103*h + 131. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233630 is divided by 424?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 8506?\nAnswer: 34024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2340146750 - 2340126368.050028. Let h = s - 20382. Let d = h + 0.05. What is d rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-42497)\/(-13076) + (-51)\/28\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**3 + 4*q - 6. Let d(t) = -4*t**3. Let c be d(-1). Let a(n) = 2*n - 3 + 3*n + 2 - c*n. Let r(l) = 4*a(l) - i(l). Differentiate r(y) wrt y.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3389 or -1989?\nAnswer: -1989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - -3. Let p = 130 + -90. Suppose 0 = 4*b - a*b + p. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 767 = 15*p + 182. What is the third smallest value in p, 3, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1404900 < -1404900?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -10. Let p be (176\/(-32))\/((-1)\/q). Find the second derivative of -2*f**3 - p*f**3 + 18*f - 10*f wrt f.\nAnswer: -78*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 975691.\nAnswer: 975691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -223244443 - -120?\nAnswer: -223244323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 861672597 to the power of 1\/2, to the nearest integer?\nAnswer: 29354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1056 - 733 = 14*z - 1467 for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 56\/20 + 144\/(-30) + 5. Solve 2*o + y*o + 20 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of 13*h**5\/10 + 19*h**3\/6 + 11*h - 20. Let q(r) be the first derivative of o(r). Find the second derivative of q(x) wrt x.\nAnswer: 156*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -19*a**3\/4 - 16379*a**2\/2 + 132190591*a\/4 + 6957581\/2 = 0.\nAnswer: -3637, -2\/19, 1913","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 97*b**2 - 52*b + 7. Let c(j) = 34*j**2 - j. Let r(f) = a(f) - 3*c(f). Calculate r(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2338.\nAnswer: 2, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, r: 2, w: 3, b: 9}. What is prob of sequence wbr?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 3. Let q be (c\/2 + -1)*-6. Suppose 5*t = -2*k + 25, 2*t + 5 = 2*k + 1. Solve -2*u = -k*s - u + q, 5*s = 4*u + 12 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25760 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 722147.7t to micrograms.\nAnswer: 722147700000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 239 - 206. Suppose 2*c = -3*i + t, 0 = 4*i + c - 43 - 1. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8962.9 to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 572d1e (base 16) in base 13?\nAnswer: 12505a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 13\/8 of a milligram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1073 is divided by 475.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*k - 43 + 21 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -966213 or -966315?\nAnswer: -966315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -3 - -2)*1. Let o(m) = -3*m**3 + 5*m + 5. Let x(y) be the second derivative of -y**5\/10 + 2*y**3\/3 + 2*y**2 + 3*y. Give q*o(g) - 5*x(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 455*p + 3 + 804*p - 3.\nAnswer: 1259*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*z**3 + 360\/7 - 366\/7*z + 4\/7*z**2.\nAnswer: 2*(z - 12)*(z - 1)*(z + 15)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4416 by -69.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = g + 91. Is g\/1*(-13 + 12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 26\/2451 (b) 2\/15 (c) 93\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*(-5 + 5 + h - 4*h + 3*h + 3*h + (-2 + 0 + 0)*(-3*h + 6*h - h) - 3*h + 5*h - 3*h + 21 + 17*h - 21)*(1 - 2 - 1).\nAnswer: -60*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 1\/4, 1607 in descending order.\nAnswer: 1607, 1\/4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4*t - 59. Give f(8).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q\/q**6)\/q)\/(q*q**(-1))*q*q**(-3\/2)*q**5*((q*q*q\/(q**(-1\/4)\/q)*q*q)\/(q*(q\/(q**(-6)\/q)*q)\/q))\/(q**0)**(-14) assuming q is positive.\nAnswer: q**(-13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/24 - 186\/(-9) and -23\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2731 (base 16) to base 5.\nAnswer: 310113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2c - -b?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 138 and 1797?\nAnswer: 82662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-50708)\/33800 + 12\/8. Let l = 511219\/25350 - t. Calculate the common denominator of l and -125\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 2) + (1 + 20 - 13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 5:51 AM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*w + 238 + 86. What is the remainder when 78 is divided by w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 7. Suppose -i + 2*j + 3*j = 16, m*i = 4*j - 2. Does 9 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -2*r - 42, 3*h - 3*r - 3 = -12. What is the lowest common multiple of (h\/(-16))\/((-1)\/(-12)) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + t - 807, -3*q - t = 572 + 1861. What is q rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*v**5 + 10*v**4 + 3633*v**3 - 5993*v**2 - 13.\nAnswer: 420*v**2 + 240*v + 21798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 3002?\nAnswer: 2775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -20. Let z = o - 12.6. Let a be (-75)\/(-12)*(-7)\/(-10) + -4. What is the third biggest value in 3, a, z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n + 2*n - 2*n**2 - n)*(3 - 3 + 2*n + n - 3*n + n - n + 1 - 1 + (-1 - 1 + 4)*(0*n + n + n)).\nAnswer: -8*n**3 + 20*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(704)*4 - sqrt(44)*1*-2))\/((-2*sqrt(48)\/sqrt(3) + sqrt(16))\/((sqrt(256)*-2 - sqrt(256)) + sqrt(256))).\nAnswer: 288*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7661416 (base 10) to base 12.\nAnswer: 2695834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3817 and 130229?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -873*l - 873*l - 860*l + 2599*l.\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(1458)*-2)\/(sqrt(486)*2) - 2*(5*1*sqrt(3) - (2 + 1 + sqrt(3)))).\nAnswer: -9*sqrt(3) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -114 - -207. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 8*a - 8. Let q be y(3). Let b(l) = l**3 - 8*l**2 - 37*l - 33. Is b(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -146*m**2 - 166*m - 2. Let g be n(-1). Solve -7*c + 2*c - 3*w = -22, -c - 4*w + g = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17202 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 125591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 > 64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f + 8. Let u(w) = w**3 - 6*w**2 - 7*w + 2. Let n be u(7). Let q(b) = -b - 1. Let z(k) = n*q(k) + v(k). Let i = 95 + -90. Give z(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -52, -95, -158, -247, -368, -527, -730?\nAnswer: -983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v - 9. Determine g(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2942*s - 62. Let g(b) = -24*b + 2. Determine g(u(y)).\nAnswer: -70608*y + 1490","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 1604*v - 534182. Give a(333).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 + 2*f**2 + 0*f**2)*(-2*f + 2*f - 2*f**2) + 5*f**4 - 3*f**4 + 0*f**4 + (7 - 5 + 22)*(-1 + 1 + 2*f)*(-3*f + 3*f + f**3).\nAnswer: 46*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1316.\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -298099 from -7.\nAnswer: 298092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-2256)\/(-91368) - (13\/1134)\/13\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -3 - 1\/3*r**3 + 5*r - 2*r**2. Suppose -4*g = -3*c + c - 20, 3*g = -5*c - 11. Give q(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 20*n - 15*n - 55 = 0, u - n = 21. Solve 3*f - 5*h - 17 = 0, 0*f = -5*f - 4*h + u for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j - 7522652 = -195*j + 8911738. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1537 and 159.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 68*w + 34705 - 34909 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122409*m - 2*m**2 + 40797*m + 40819*m + 40793*m + 3*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 8:13 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttttttttttttotm. Give prob of picking 2 t and 1 m.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of v**5\/270 + 25*v**4\/108 - 238*v**3\/9 + 21*v**2 - v. Determine s, given that g(s) = 0.\nAnswer: -42, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v. Let o be w(-3). Suppose 5*i - 6 = z, 4*i - 2*i + o*z = 16. Is 12904\/40 + i + 16\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1012013 - 112?\nAnswer: -1012130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, -12, -41, -72, -105, -140?\nAnswer: -177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than or equal to -741\/1186?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of r**2\/2 - 5*r + 2. Let x(h) = 4. Let l(y) = 11. Let f(w) = 3*l(w) - 8*x(w). Calculate 9*f(j) + 2*s(j).\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 31 = 5*v - 2*o, 2*v - 13 = o. Suppose 4*c + v*k = c - 30, k = -5*c - 28. Let x = c + 50. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.645632ml to litres.\nAnswer: 0.001645632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5319842171.\nAnswer: 7, 569, 1335637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 28\/(-24)*2*(-120)\/28. Solve 12 = 5*j + 3*f, -3 = 3*j + 2*f - n for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -18 (b) -0.08 (c) -716\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.9 + -0.97. Let n = s - 0.23. Let h = 0.22 - 0.02. Which is the nearest to 1? (a) n (b) h (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -12, -1, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 113 - 455\/4. Suppose l - 1 = -3*f + 7*f, -4*f = 3*l - 3. Suppose -o - 3 = -l. Which is bigger: o or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 + 250*n**2 + 16915*n - 17160.\nAnswer: -5*(n - 88)*(n - 1)*(n + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7675, 7672, 7667, 7660?\nAnswer: 7651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 159047 - -23075. Suppose -r + 1792122 - f = 0. What is r rounded to the nearest 100000?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*n - 10 = 0. What is the remainder when 6 is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*8\/6*3\/(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5471, 4, 0, -3, -1 in descending order.\nAnswer: 4, 3, 0, -1, -3, -5471","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 78*m**3 - 4*m - 4833 wrt m?\nAnswer: 234*m**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 366, 739, 1112, 1485?\n\"Answer: 373*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1630821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 290 - 284. Suppose 36 = -c*f + 48. Solve 2*t + f = 0, -3*r + 4*t - 2 = -6 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xzt when three letters picked without replacement from {x: 1, t: 1, z: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 11*y + 5. Let n be -1*-2*(-1 + -2). Let k be q(n). Suppose -g - 5*x = -k, 3*g = x + 65 + 8. Is g a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1775, 3076, 4361, 5630, 6883?\n\"Answer: -8*q**2 + 1325*q + 458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.326? (a) -0.2 (b) 1\/3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 394196 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-15)\/(-2))*21\/(-7)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 98127726?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 times 2845.57?\nAnswer: 102440.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 19986+11656911410\nAnswer: 11656931396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a**2 - 1059084*a - 1059088 = 0 for a.\nAnswer: -1, 264772","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.15 + -2.53. Let d = 2.53 + n. Let b(k) = k**3 - k**2 + 2*k - 3. Let r be b(2). What is the second smallest value in -2\/15, r, d, -3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/4*((-9)\/21 + 452164\/14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 409373 is divided by 200.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -3 (b) -5 (c) -0.2 (d) -2\/2259\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*c + p, -c = 8*p - 6*p - 10. Let q be (1 - 1)*(-7)\/7. Solve -m = -q + c for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 472 + -436. What is the third biggest value in 0.2, 4, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 188714509 and 298930.\nAnswer: 1887145090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*2*((-28)\/16 - 0). Let o be t*1\/(-7) + 3. What is the biggest value in 0.4, o, 0.12?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 16 = 22. Let h = -16 - p. What is the highest common factor of 2 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 17 and -4.3.\nAnswer: 12.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*y + 12 - 12)*(2 - 2 + 1)*(y + 3*y - 2*y) to p + n*y**2 + t*y and give n.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 0, 5*p - 10 = 3*p + 5*r. Suppose -3*f + p*u = -28, 2*f + 2*f + 3*u - 18 = 0. Let d be (9\/12)\/((-1)\/(-4)). Solve -d*m + 0*m = f for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 59*w = 55*w - 4, 3*j - 5*w - 2 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + a925a456?\nAnswer: a925a458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1007 divide 16533927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 165312 and 16359.\nAnswer: 3140928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 2, 71\/14, -0.2, 0.0093?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 130 (b) -5 (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 + -3 - 9 - ((1 - -4) + -3)) + -3?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1183*w + 713*w - 309*w.\nAnswer: 1587*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0.4, 0.2, 0.18, -0.2 in decreasing order.\nAnswer: 6, 0.4, 0.2, 0.18, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 248, 48.\nAnswer: -4, -3, 48, 248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (12\/(2088\/10))\/((-638)\/24) and 31\/9251?\nAnswer: 9251","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 69326760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 14 = -4*q. Let a = 6 - q. Let n = a + 6. Solve -7*m - n = -2*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 349096, 349064, 349034, 349006, 348980, 348956?\nAnswer: 348934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3016 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 985.48?\nAnswer: 982.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 3*i - 3. Let q be (-25)\/7 + 15\/(-35). Let c = -2 - -5. Let g be (1 - 5) + c + -2. Let l(w) = -w**3 + 4*w + 4. What is g*l(o) + q*b(o)?\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 23560 = -5*c - 19444, -2*c + 5*z - 17220 = 0. Round c to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-15) - (-9)\/(-30)*-2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -4*o - 16. Calculate the smallest common multiple of 2 and c(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.032 - -0.032023. Round s to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 318 - 83 - (-137 - -245)?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -226290, -226288, -226286?\nAnswer: -226284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrxrvrererererrqrery. What is prob of sequence rxrq?\nAnswer: 11\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - -9. Calculate the common denominator of 0 + (182\/z - 2) and 31\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151031392169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 9*k - 56 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2151 - 2151. Which is the nearest to 2\/3? (a) 291 (b) k (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1705 is divided by 754.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (2 - (0 + 0)) + -6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18000.0366 - 185785.9612. Let b = -203809 - l. Let q = b + 23. Round q to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - b = 239, -102 = -2*o + o + 4*b. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 442742707 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyssysyysyssy. What is prob of picking 1 y and 2 s?\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 4*v**2 - 13*v + 6. Give c(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(105)\/sqrt(3))\/sqrt(7) + -1 + sqrt(20)\/sqrt(4) - (-3 + sqrt(125) + 1 + sqrt(125)) - (sqrt(180) + 0 + 3 - (sqrt(40)\/sqrt(72) + sqrt(5))*-6))**2.\nAnswer: 88*sqrt(5) + 2424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*a - 32*a - 49 + 32*a to p*a + o and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1169112635 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/9? (a) 1.3 (b) -3 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 4*w - 46. Let k be d(11). Let h be ((-1)\/(-9))\/((-3)\/(-9)). Which is the closest to 2? (a) -2\/3 (b) h (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13933220 = 303*i - 51306149. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/150*-5*35\/(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 15 (b) -34 (c) 7 (d) -3 (e) -1 (f) -4\/3 (g) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17858?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*q + 0*q + 15*q)*(q**2 + 5*q**2 - 5*q**2 - 2*q) in the form r + z*q + l*q**3 + t*q**2 and give t.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 38*n**2 - 17*n - 12. Let m(o) = 13*o**2 - 6*o - 4. Give -11*m(h) + 4*p(h).\nAnswer: 9*h**2 - 2*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 543.53 times 6741\nAnswer: 3663935.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - (77\/(-2) + (18 - 16)). Let g = y - 603\/16. Let k = -5 + 6. Is k > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 9*c**2 - 9*c - 6. Let s be f(-8). Suppose s*l - 41 + 13 = 0. Suppose 11*t - l*t = -474. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/1157 in 0.4, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-15)*1\/(-1).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5\/4)*(m*m**0)\/m*(m\/m**(-3\/7))\/(m**(2\/3)*m))**0 assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + t = 11, 5*f - 4*f = -2*t + 12. Suppose 6 - f = a. Suppose 4*y = -d + 35, 31 = a*y - y - 4*d. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2 take away -0.0579459882035?\nAnswer: 1.2579459882035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 237 - 233. What is the third smallest value in -0.2, -12\/5, w, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*u + 62*u = 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(56)\/(sqrt(48)\/sqrt(6)) - ((sqrt(84) - sqrt(84)*-3 - sqrt(84)) + sqrt(84))\/sqrt(12)))**2.\nAnswer: -30*sqrt(7) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18378 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*i**2 - 5*i**2 + 0*i**2 - 5*i**2.\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4094 - 3846. What is the biggest value in o, 2\/13, 3, 2\/11, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29218504*q**2*u*w + q*u*w + 3*q*u - 1777*q + 73*u*w wrt q?\nAnswer: -58437008*u*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2227 and 8619697.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -4*f - 4. Let o(w) = -8*w - 8. Let s(v) = -6*o(v) + 13*r(v). Suppose -5*b + 0*b - 3*z - 21 = 0, z + 8 = -2*b. What are the prime factors of s(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**3 + b - 1. Let c be f(1). Let a = -2 - c. Suppose a*g + g - 11 = -4*o, -g + 3*o - 3 = 0. Solve -6 = -g*k, 4*z - 2*k + 4 = 8*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**4 + 2. Let o(u) = -4*u**5 - 388*u**4 + 24*u**3 + 2392*u**2 - 3220*u + 1196. Let h(y) = -8*k(y) - o(y). Factor h(g).\nAnswer: 4*(g - 1)**3*(g + 3)*(g + 101)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/2 (b) -1\/737 (c) 45 (d) -94\/7 (e) -3\/5 (f) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -9 + (-5 + 12 - 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6235 (base 12) to base 4\nAnswer: 2213021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.024, 5 in ascending order.\nAnswer: -2, 0.024, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6503 (base 8) to base 4\nAnswer: 311003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 3 = -3*m. Let f be 38\/(-40) - 2\/(-10). Let g = -1579\/4 - -395. Which is the third smallest value? (a) g (b) f (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 7:21 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4289 or 4559?\nAnswer: 4559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6105861599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*v = 74*v + 50344. Is v a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 9*y**3 - 9*y**2 + 4*y - 1. Let d be k(6). Let m = d + 723. Is 12 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1383, -1394, -1409, -1428, -1451, -1478, -1509?\nAnswer: -1544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*w + 90 - 230 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 0 + 0 - 2*m. Let s(c) be the second derivative of c**3\/2 + 3*c + 61. Determine s(j(y)).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1815 = 2*o + 5*m, o - 4*m + 903 = 2*o. Suppose -12*g + 11*g = -o. Let p = 62 + g. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2650.077l in millilitres?\nAnswer: 2650077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 612 and 133488?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23534200 and 6.\nAnswer: 70602600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23570*p*y**3 - p*y**2 + 304*p*y - 2*y**3 + 49*y**2 + 1119461 wrt p.\nAnswer: 23570*y**3 - y**2 + 304*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.6 - -1.5. Let s = r - -0.1. Let v = 1198\/35 + -174\/5. Which is the closest to 0? (a) v (b) s (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-220)\/605 + (-3454)\/(-8833)?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*l + 2847 - 417. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, w: 4, v: 3, q: 2, r: 6, l: 1}. What is prob of sequence oro?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 55*k**2 - 280. Let v(c) = -167*c**2 + 843. Let d(w) = -7*p(w) - 2*v(w). Find the first derivative of d(y) wrt y.\nAnswer: -102*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 * 2268\nAnswer: 58968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8336 by 16.\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand x + 3*x - 2*x + (0 - 2 + 3)*(-x + 2*x - 2*x) + (4 - 6 + 0)*(13*x - 5*x - 21*x).\nAnswer: 27*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -111252 divided by -12.\nAnswer: 9271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -60548268?\nAnswer: -60548270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from szgssmm. What is prob of picking 1 s and 3 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000306015642 rounded to 7 decimal places?\nAnswer: 0.0000306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1456\/23 - 252141\/3979. Is p >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2505948\/456)\/379)\/(1*1\/(-6))?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21333073163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, -1, -5, -107, 3 in decreasing order.\nAnswer: 49, 3, -1, -5, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, w: 1, q: 2, x: 2, m: 2, p: 1}. What is prob of picking 1 r and 1 q?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -290.549914876 - -290.55. What is n rounded to six decimal places?\nAnswer: 0.000085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oekefeoye. Give prob of sequence eek.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of j**6\/120 + j**5\/60 + j**4\/6 + 35*j**3\/6 - 853*j**2. Calculate o(0).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 4:33 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-8)*b**(-3\/8))\/(b*b\/(b\/b**(3\/4)*b*b)*b\/b**(2\/11)) assuming b is positive.\nAnswer: b**(-787\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1132, 2249, 3376, 4519, 5684?\nAnswer: 6877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/(-6)*(-8)\/6. Let h = 4 + x. Solve -3*n + h = -3, -4*n = -3*q - 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2*h + 64. Let d(n) = -n**2 - 34*n - 297. Let y be d(-21). Let c be h\/y*-16*120. What is c rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 49*a - 6. Let q be l(3). Let f = q - 98. What is the remainder when f is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 + w**2 - w**2 + (2 + w - 2)*(0*w - 3*w + 4*w))*(0*w**3 - 9*w + 2*w**3 - 11*w).\nAnswer: 6*w**5 - 60*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 3:15 AM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 8*a. Let k(g) = -267*g. Calculate k(n(d)).\nAnswer: -2136*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 2\/125 of a kilometer?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -3*p - 138, p - 2 = 1. Let y = 48 + q. Let w be y\/((-15)\/6)*(-40)\/(-136). Which is the closest to 4\/7? (a) -5 (b) w (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 400 and 8940800?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - n + 3 = 0, 4*r + 5 = n + 2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 193348559 divided by 2\nAnswer: 193348559\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + -1. Let x be 0 - (b - 0 - 1). Solve 15 = x*s, -5*w + 4*s + 10 = 5*s for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 6*g - 10 = 0. Suppose 2*q + 93 = 103. Suppose g*m = q*m - 15. Solve -m*v = 2*c - c, -5*v = -5*c for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -1 + 1 - c. Let m = 202 - 197. Let t(y) = 9*y**2 + m*y**2 + 11*y**2 - 38*y**2. Determine q(t(o)).\nAnswer: 13*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6844 is divided by 167.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 324 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2105 - 2108. Sort 1, x, 0, 4 in decreasing order.\nAnswer: 4, 1, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8193120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 71 = 5*n, -2*n + 19 + 3 = 2*s. Let l = 36 + s. Suppose -w + l = 5*t, 0 = 4*w + 3*t - 118 - 150. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (977612\/(-10))\/((-10)\/(-125)*-5). Suppose -5*j + 9*j - c = -3*g, -5*g - 305495 = -5*j. What is j rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -540 + 547. Solve z + 3 = 5*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70\/4*(2\/(-63) - 297984\/(-146664))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1036 >= -1033?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of -o**6\/60 - 5*o**4\/24 + o**2. What is the second derivative of d(w) wrt w?\nAnswer: -12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -100 + 101. Calculate the least common multiple of 6 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21133331113 + 11?\nAnswer: 21133331130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4 + sqrt(192).\nAnswer: 7 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14831564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 9 + 0 = 0. Suppose o - 6*o - z*l = -987, -3*l + 597 = 3*o. Let u = o + -74. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9443573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 1155781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28618 = 6*w - 2*i, 293*i - 23830 = -5*w + 291*i. Does 16 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/111573 and -26\/7623.\nAnswer: 1227303","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 26?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -847029 or -847030?\nAnswer: -847030","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 636364.\nAnswer: 2, 23, 6917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 804 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 74690\/1552 + (-288)\/6. Let q = -2 + 2.2. Which is the nearest to -0.1? (a) 3 (b) q (c) -2\/7 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 152*a**2 + 113*a**2 + 836 + 646 - 3*a**4 - 265*a**2 - 233*a**3 wrt a.\nAnswer: -12*a**3 - 699*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 243*k**2 - 64*k?\nAnswer: 486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396)*-2*-2 - sqrt(396))\/(sqrt(9)*1*-2))\/((sqrt(4) - sqrt(20)\/sqrt(125)) + sqrt(64)*2 + sqrt(64) + sqrt(4) + sqrt(4)).\nAnswer: -15*sqrt(11)\/148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1920721.\nAnswer: 11, 283, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-945)\/(-126))\/(10\/264). Which is smaller: u or 196?\nAnswer: 196","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n + 2 - 2)*(18*n - 15*n + 17*n)*(15 - 31 + 19)*(2 + 5 - 5)*(0 + 3 - 2) in the form h + f*n**2 + j*n and give f.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16a8 + 254?\nAnswer: -1454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 5:34 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - -73.99262409223\nAnswer: 74.29262409223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**2 + 8*o**3 - 4*o**2 - 3*o + 7*o**2 + 2*o to the form b*o**2 + l*o**3 + x*o + m and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n - 11. Let h be u(10). Let a = h + -9. Suppose a = -0*d + d - 26. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -18. What are the prime factors of (-426)\/(-4) + (0 - 4\/a)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/44 and -63\/34?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3637*v - 5733*v + 176064 = 0 for v.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*k**3 + 63*k**3 + 51*k**3 - 93*k**3.\nAnswer: -9*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o\/o**(1\/13)))\/(o**6*o*o))\/((o\/(o\/(o\/(o\/(o\/(o\/o**4))*o)*o)))\/(o**(1\/3)*o)))\/(o**(-7\/4)\/(o**(-2\/13)*o))**(-38) assuming o is positive.\nAnswer: o**(-8521\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from gxeegbk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -167266360 divided by -16726636\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 981.7309 microseconds to nanoseconds.\nAnswer: 981730.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/((-154)\/(-12))*128\/(-64)?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w - 9*w + 8*w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -215, -190, -165, -140, -115, -90?\n\"Answer: 25*d - 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -i**5\/20 - 13*i**4\/3 + 16*i**3\/3 - 79*i**2. Let x be s(-34). Calculate the greatest common divisor of x and 250.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92094149 rounded to the nearest 10000?\nAnswer: 92090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 3 = 3*w - 8, 4*q - 6*w = 34 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 11032, 44136, 99314, 176560, 275868?\n\"Answer: -a**3 + 11043*a**2 - 18*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a gram in milligrams?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 8*i**2 - 10*i + 7. Let x be p(9). Does 25 divide ((-125)\/x)\/((-10)\/(-20))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnrnrenn. Give prob of sequence rn.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 68, -1\/437, -3, -2\/19?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -70.240728 to the nearest integer.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 461?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -3*w + 21, 0 = -t - 23*w + 26*w - 27 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + (-3*sqrt(156))\/sqrt(12))*-3 - (sqrt(117) + 2 + -4 + sqrt(13) + -2))**2 + 4.\nAnswer: 16*sqrt(13) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-2))\/r)**(19\/5)\/(r\/r**(-1\/14)*r*r\/r**11*r) assuming r is positive.\nAnswer: r**(1017\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39968, 79892, 119800, 159698, 199592, 239488, 279392?\nAnswer: 319310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (79*b + 45*b + 9*b + (20 - 7 - 10)*(2*b - 2 + 2))*(3*b - 3*b - b).\nAnswer: -139*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -56058.182382 + -0.3.\nAnswer: -56058.482382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -bc + 0?\nAnswer: -bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**3 - 16*h**2 + 21*h + 26. What is c(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f*f**(7\/6)*f*f*f*f)\/f*f)\/f)\/f**(-13) assuming f is positive.\nAnswer: f**(115\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1003 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/14*(-3 + 30\/(-18)). Suppose -2*f + 0*q + 13 = 5*q, t*f + q - 53 = 0. Suppose -f*v + 6 = -12*v. Solve -v*l = -l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of w**4\/6 - 7*w**3\/3 - 8*w**2 + 51*w. Factor f(z).\nAnswer: 2*(z - 8)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + (-30)\/18 - (-1762)\/(-3). Is f\/(-2) - (-2 + 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000399548316 rounded to 6 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-6*((sqrt(192) + -3*-1*sqrt(192) + sqrt(192))*2 + 0))**2.\nAnswer: 17280000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (-144)\/(-27) - (-2)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81511 + 39995 = -6*y. Let b = y + 10551. What is b rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 102 and 6222?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 61, 134, 22, 0.\nAnswer: 0, 13, 22, 61, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11667705 is divided by 230.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 1414*y - 2361. Let p(t) = 21*t. Let m(f) = 3*p(f) - q(f). Differentiate m(k) with respect to k.\nAnswer: -1351","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24577*q**2 - 7*q**3 - 3*q - 94 - 24577*q**2 + 49152*q**2 in the form h*q**3 + r*q**2 + w + u*q and give w.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 154\/(-10) + 10\/25. Let g be 2\/3 + 70\/w. What is the biggest value in g, -2\/9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16875 and 23840?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 11*v + 18. Let r be 189\/(-14)*6\/9. Let k be o(r). Solve k = -3*q - 2*n - 2*n + 12, 15 = 4*q + 5*n for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -4. Suppose -3*n + 2 = -3*r + 11, -4*r - 4 = q*n. Let o be 0 + ((-18)\/4)\/(-3). Which is smaller: o or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-864)\/(-5) + 132\/(-165) is divided by 42?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -9) + -49 - (-186 - -147)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(1250) - (sqrt(1250) + sqrt(1250) + 0)))*1 + 4)**2.\nAnswer: -50*sqrt(2) + 1251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cvg when three letters picked without replacement from vvcgvgcivcggcvcvgc.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -1091*f + 30571. Determine w(28).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1416 is divided by 468.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 5. Let s be 0\/(-2*(-2 + 3)). Let i(q) = q + 7. Let x be i(s). Solve t*o - x - 8 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -5*q**2 - 2*q - 95. Let g be m(0). Let n = g + 99. Solve -2*a + j - 29 = -n*j, -5*a + 5*j = 35 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 433*d - 121. What is the units digit of x(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 12*x**2 - 28*x + 5. Let d be a(14). Let c = 25 + 0. Solve d*h + 0*h = c for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6870*k**5 + 2*k**4 - 2*k**3 - 9627*k**2 wrt k.\nAnswer: -412200*k**2 + 48*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7705 divided by 1541?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.773 rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 13597*f**2 + 18.\nAnswer: 13597*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t. Let i(q) = 11*q + 8. Let o(f) = 7*f + 5. Let y(s) = 5*i(s) - 8*o(s). Give y(u(w)).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 13) in base 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -9. What is the closest to 2\/7 in 2, p, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -3487, 3\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 415235 - 509285 = 691*r + 259*r for r.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 + (-2046)\/99)*30.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 13224200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24*17\/(-204))\/((-24)\/13 - -2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2982 or -2\/9?\nAnswer: -2982","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -69628834 by 619.\nAnswer: -112486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4*(-1 + (sqrt(208) - ((sqrt(208) - (sqrt(208) + -3) - sqrt(208)) + -3))))**2*-4.\nAnswer: -1024*sqrt(13) + 53312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -52.8 + 53. Let j = 0.6 + -1.6. Which is the closest to 1? (a) n (b) 2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -201340 + -1341?\nAnswer: -203231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0*q + 3 = 0. Factor 4*c**2 + 2*c**3 + 2*c**3 + 0*c**3 - q*c**4.\nAnswer: -c**2*(c - 2)*(3*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11 + 11 - 9*x + (6 - 4 - 4)*(-4*x + 2*x + 0*x) + (-3 + 3 + 1)*(-3*x + x - x)*(1 + 0 + 1).\nAnswer: -11*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 0.11, 0.01, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -81 + 86. Suppose 10 = 5*l - 0, -5*n + s*l = 0. Suppose -19 = -7*u + n. Solve -28 = 4*g + 4*v, -u*v = 4*g - v + 24 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*s - 0*s. Suppose -s*g + 2*g + 5 = 0. Solve -6 = -3*j - 4*y, -3*j - 2*j - 5*y = -g for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*w + 6. Let b be 2 + -2 + (w - 0). Suppose -3*x + 2*x - 1 = -2*f, b*x = -f + 6. Is x at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1783, 1083, -93, -1751, -3897?\n\"Answer: -u**3 - 232*u**2 + 3*u + 2013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 589*o + 4024. Let h be b(-6). Factor -70*s - h - 5\/2*s**2.\nAnswer: -5*(s + 14)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 7*o**2 + 5*o - 6. Let q be u(-6). Let v be (q*2\/6)\/(-2). Suppose -5*w + 5*h + 175 = -v*h, 0 = -2*w + 5*h + 73. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, w: 1, c: 1, q: 8, y: 1, a: 2}. Give prob of picking 1 w and 1 q.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -3*n**5\/20 + 49*n**4\/24 - n**3\/3 + 8*n**2. Let i(g) be the first derivative of p(g). Is 13 a factor of i(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -29, 5081, 10191, 15301?\n\"Answer: 5110*i - 5139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1144054*j**4 - 23*j**2 + 104113 wrt j.\nAnswer: -27457296*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/20 + (-7)\/4. Let x(y) be the first derivative of -y**2\/2 - 3*y - 1748. Give x(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3297 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**0)\/(h\/h**(-14)) assuming h is positive.\nAnswer: h**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2. Let u(q) = -1882659*q**2. Determine a(u(v)).\nAnswer: 3544404910281*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h + 15*h = 27 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -22*i**5\/75 + 3*i**4\/4 - i**3\/15 - 48*i**2 - 4. What is c in m(c) = 0?\nAnswer: 1\/44, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 + -31 + -18 + 1 + 51.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -23431000 rounded to the nearest 100000?\nAnswer: -23400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3\/2, 3\/19, -3, -0.03 in increasing order.\nAnswer: -3, -3\/2, -0.03, 0, 3\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-3*(sqrt(3078) - -1*sqrt(3078))*6)\/(sqrt(200)*-3 - 2*2*sqrt(2)))**2.\nAnswer: -324*sqrt(19)\/17 + 498925\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 2 - 4 = -2*w, -w - 2*r = -9 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (43846\/(-120))\/(-1) + (-42)\/(-56). Let w = 366 - a. Let q(j) = -j**3 + 4*j**2 + 10*j + 8. Let u be q(6). Put u, w, 9 in decreasing order.\nAnswer: 9, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 5631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 2*r**2 + 5*r - 2. Let k be t(3). Suppose k*o - 15 = 5. Calculate the lowest common multiple of 3 and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -110 - -13?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24 minus 10850613557?\nAnswer: -10850613556.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-0.353848.\nAnswer: 1.76924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 2 = r, 5*x - 110 = 128*r - 183*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37 - -18) + 17 - (-1 + 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 41 = -4*d, 5*n + 3*d = 7*n + 137. Let a = 158 + n. List the prime factors of a.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 355093.4 meters to centimeters.\nAnswer: 35509340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*m**3\/7 - 80382*m**2\/7 - 25636116*m + 17095848.\nAnswer: -3*(m + 4466)**2*(3*m - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a centimeter?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**2\/3 - 11341*j\/3 - 3780 = 0. Calculate j.\nAnswer: -11340, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 153530 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -841 (base 14) to base 3\nAnswer: -2020012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*u*x**3 - 504*u*x**2 - u wrt x.\nAnswer: -60*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14643156?\nAnswer: 2, 3, 11, 110933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*h + 91 = 0, 4*w + 6*h - 93 = 3*h. Is 10 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 732, -114, -1556, -3618, -6324, -9698, -13764?\nAnswer: -18546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1451, -2888, -4325, -5762, -7199?\n\"Answer: -1437*a - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 34 and -72?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1*6)\/1)\/(-2). Let c = u - -6. Let b = -121 - -175. What is the greatest common divisor of b and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 4, -6, 0 in descending order.\nAnswer: 4, 0, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 3*d - 7. Let f(z) = 4*z**2 + 9*z + 21. Let h(i) = -4*f(i) - 11*o(i). Let a be h(-5). Let j = a - -170. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1877360 divided by -1240\nAnswer: 1514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 22*m - 18. Let z be l(5). Let v = z + -89. What is the highest common factor of 9 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21585?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 321 divide 482463?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -100000000000100 (base 2) in base 6?\nAnswer: -203512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*b**3 + 571 - 571.\nAnswer: -21*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n + 6. Let z be j(-6). Suppose z*h + 16 = 4*h. Suppose 0*i - i - 192 = -h*s, -i - 48 = -s. Is s a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-27)\/(-486)*17583 + 10\/(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 19*u**3 - 2*u**2 + u. Let d(f) = -3*f + 9. Let m be d(6). What is the smallest common multiple of (-2)\/m + (-140)\/(-18) and o(1)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.050472 + 244.33.\nAnswer: 244.380472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*h**3 + 27945346*h**2 - 27945346*h**2.\nAnswer: -82*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3024 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -28\/233?\nAnswer: -28\/233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31825*a**4*g - 2*a**4 + 5*a**3*g - a**2 - 911401*a*g wrt a.\nAnswer: -763800*a*g - 48*a + 30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -124 - -141. Solve -4*o - 2*s = -f + 47, -20 = 4*s for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (12 + (-6 - 0) + -12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10937 + -973133\/89. Let l = j - 632922\/216715. Let d = 75473\/14610 + l. Is d less than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -6\/11 (c) 3 (d) 0.1 (e) -172 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 495*q**2 - 1390*q + 443391. Determine h(496).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 4 - 4)*(f - 3*f + f) + 9539 + 601*f - 9539)*(2*f**2 - 2*f**2 - 2*f**3).\nAnswer: -1204*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1100 + 111001001?\nAnswer: 110222201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/6 - 3)\/((-52)\/39 - 0).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide ((-1728)\/90 - -24)*1185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/q**(1\/2)*q)**(-2)\/(q**0*q)**(-24))**19 assuming q is positive.\nAnswer: q**361","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**2 + 2*j**2 + 655*j**3 - 1779*j**3.\nAnswer: -1124*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000401087 to 6 decimal places.\nAnswer: -0.000401","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 16 - 44. Let m(l) = -2*l**2 - 82*l - 509. Calculate the remainder when m(-33) is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + (-18 - (-2 + -6)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) 33 (c) 13.5 (d) -5\/7 (e) -3\/8 (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 204?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1115520?\nAnswer: 2, 3, 5, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**5 + 475*q**4 + 17454*q**3 - 262334*q**2 + 1086165*q - 1341725 = 0.\nAnswer: -41, 7\/3, 5, 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/2)\/(1\/((-46)\/21252*14)).\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.23 - 0.13. Which is the second smallest value? (a) 2\/11 (b) v (c) 0.4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*h**3 + h**3 + 8*h**3 - 2*h**3 - h**3 + 2*h**3 + (-h**2 + 1 - 1)*(-3*h - 4*h + 5*h) + 0*h**3 + h**3 + 0*h**3)*(5 - 5 - 3*h).\nAnswer: -3*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 4) to base 5\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64174864?\nAnswer: 2, 13, 17, 18149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -41*r - 2363. Give m(-58).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 341169*v + 341170*v + 4 - 682306*v - 3*v**3. Let m(d) = 2*d**3 - 32*d - 3. Calculate -3*f(j) - 4*m(j).\nAnswer: j**3 + 29*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 96964?\nAnswer: 872676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z - 4*z**3 - 2*z**3 - z**2 - 3*z + 4*z**3 - 1. Let u be r(-1). What is the third derivative of -3*j**u + 2*j**6 - j**6 + j**6 wrt j?\nAnswer: 240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 - 40203?\nAnswer: -40214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-518)\/4)\/((-15)\/30) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggggaahgawgggghay. What is prob of sequence aya?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1865.6 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s + 9. Suppose 4*m + 3*q = -57 + 12, 2*m - q = -15. Let f(g) = -g**2 - 7*g + 9. Let d be f(m). Let w be j(d). Sort 6, 1, w in decreasing order.\nAnswer: 6, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 1. Suppose k = 2*s + 6*y - 2*y + 11252, 0 = -5*y + 15. Let r = 596987\/106 + s. Find the common denominator of r and -69\/4.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -134, -1\/4, -23, -0.5 in decreasing order.\nAnswer: -1\/4, -0.5, -23, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 620*q + 3676 - 487 - 939 + 3011 + 1519 wrt q.\nAnswer: 620","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -159204+-4990.7\nAnswer: -164194.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49125 is divided by 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 2. Suppose -s - 256 = -5*d - 5*s, 3*d + t*s - 152 = 0. Suppose 4*j - d = j. Is j a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309 is divided by 164.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w - 1. Let a(c) = 5*c - 6. Let j(l) = l - 1. Let x(h) = -a(h) + 6*j(h). Determine q(v) - 4*x(v).\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 235878\/72360 + -3 - 120\/540 and -49\/1072.\nAnswer: 16080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 415\/42 + -241\/6. Let z = -30 - m. Which is the biggest value? (a) -2 (b) z (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 2) + 0 - (-140)\/77\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 + 62 = 7*x. Does 8 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1286217 and 6788664?\nAnswer: 5337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*y**5 - 3188*y**4 - 158284*y**3 - 1487068*y**2 - 3832580*y - 867664 = 0.\nAnswer: -127, -61, -7, -4, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -5, 5*z - 35 = -2*b - 2*b. Suppose -2 = -10*d + z*d. Let a(v) = v**3 - 3*v**2 + 1. Let f be a(2). Sort -7, f, -5, d in increasing order.\nAnswer: -7, -5, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/4)\/a)\/(a**13\/a))\/(a**(-3)\/a*a)**(-2\/95) assuming a is positive.\nAnswer: a**(-5059\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of a**4\/6 + 7*a**3\/6 - 5*a**2\/2 - 5*a. Suppose 16 = 2*b - 22. What is the remainder when c(4) is divided by b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26460 divided by 42?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1058046 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide (-126)\/210 + (-4758)\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*d**5\/5 - 74*d**4\/5 - 204*d**3\/5 - 228*d**2\/5 - 22*d - 18\/5 = 0. What is d?\nAnswer: -9, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, f: 2, e: 1, n: 4, k: 1, u: 4}. Give prob of picking 3 p and 1 f.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/6462 + 8977\/12924. Let f = o + -4\/9. Factor -c**3 + 3\/2*c**2 + f + 1\/4*c**4 - c.\nAnswer: (c - 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + 55021.\nAnswer: 55020.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3696777 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 20 = 16. What is the smallest common multiple of k and 2\/(-7) + 3\/((-21)\/(-100))?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/38248 and 87\/35516.\nAnswer: 497224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 57050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of 1\/210*q**7 - 1\/50*q**5 + 8*q + 0*q**6 + 0 + 0*q**2 + 1\/30*q**3 + 0*q**4. Find l, given that j(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1757 + -1?\nAnswer: 1756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26641 is divided by 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001939644446 to seven decimal places.\nAnswer: 0.000194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-3)\/15 + 2)*5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z - 23. Let u(x) = 2*x - 11. Give -4*q(k) + 9*u(k).\nAnswer: 2*k - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6*1 - (-120)\/(-18). Is s greater than 45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13600757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 158556 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 5*d + 64. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) 3 (c) -8 (d) 0.3 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 7:26 AM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3561415 less than -1205.9002?\nAnswer: -3562620.9002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 640 - 110. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38548304773484 plus -5?\nAnswer: -38548304773489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 31318 = -5*h. Is (63\/(-12))\/(-5 + h\/448) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -12*f + 83. Let r(t) be the first derivative of 1\/2*t**2 + 1\/3*t**3 + f*t + 1. Calculate r(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 33459, 40135, 51265, 66849, 86887, 111379?\n\"Answer: 2227*f**2 - 5*f + 31237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, s: 14}. What is prob of picking 2 s?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/254350 and -103\/800?\nAnswer: 4069600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 302656 and 20.\nAnswer: 302676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3311801 is divided by 254752.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 664 is divided by 213?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 79.\nAnswer: 7.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6134.6? (a) 3 (b) 0 (c) -1\/4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 1e?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 5:00 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 1. Suppose d*i - 2*i = 2*h - 6, -9 = 2*h - 3*i. Suppose 5*a - 33 - 22 = h. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 2*sqrt(175)*1 - (-1 + sqrt(175) + 0 + sqrt(175) + 3 + (sqrt(175) - (sqrt(175) + -1 + sqrt(175)))))**2.\nAnswer: 10*sqrt(7) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -4. Suppose l = h, -5*m = -4*l - l - 45. Is m <= 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4 (b) -5 (c) 0.3 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 42\/15*1*5. Suppose 5*c = h + 75, -39 = -2*c + 5*h + s. Let q = -2 - -5. Solve q*z + c = 5 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 130314033310?\nAnswer: 130314033320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/5 + 7422*w\/5.\nAnswer: -2*w*(w - 3711)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 48 = 5*b, -67 = -2*z + b - 15. Solve 5*l - t - z = 0, 3*t = 2*l - 3*l - 4 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4363344?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.16 - -2.66. Which is the nearest to 2? (a) -0.4 (b) n (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/11)*a*a**(-6)*a**1\/a*a*a**(-1\/8))\/((a**1)**37*(a\/a**(2\/5))**(-17)) assuming a is positive.\nAnswer: a**(-13687\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 12 = -21 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 5*g = -40, 2*z - 8 = 3*g + 11. Suppose 0 = 5*t - 4*m - 12, t = -m - m - 6. Solve 5*j + z*j - 20 = t for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 9:03 PM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 11*m**2 + 15*m + 31. Let k be t(13). Let y be -126 - 3*(-20)\/15. Let n be 5 + y + 1 - -4. Is n greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 11 + 7 = -3*g, 5*g - 46 = -3*b. Let m be (-3 + 3)*(b\/(-3))\/4. Solve x + 2 = -m*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide 490168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u - 14735873*y + 14735872*y + 22, 5*y = 6*u + 203 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -105000537 + 56320537. Round n to the nearest 1000000.\nAnswer: -49000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -15203698.\nAnswer: 1\/7601849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 - 35 = -s. Let i be 3\/2*s*(-2)\/6. Solve i*j + 8 = 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17\/20 - -1\/4. Let v = -21 + 19.9. What is the closest to -1 in y, v, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1219*i**3 + 69*i**2 + 6*i.\nAnswer: -7314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 35*f - 36*f. Let y be (1 - 0)\/((-7)\/140). List the prime factors of (-2)\/(-4) - f\/y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by 4\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1279 minus -212150.04896?\nAnswer: 210871.04896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*o = -103*o - 603 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(35\/126)*(-22)\/(-308).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**4 - 3*l**4 - l**4 - 20*l**4 - 18*l**4 + 14*l**4 + (-4*l**3 + 4*l**3 + 8*l**3)*(-4*l + 4*l - 2*l).\nAnswer: -42*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 0.696.\nAnswer: -0.1392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 752 is divided by 93?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1584 - 1584 + 28*j.\nAnswer: 28*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 (base 16) in base 8?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 3875544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 366000 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1324728 is divided by 15960.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - 96*z + 1371. Give w(15).\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**0)**(1\/7)*((k*(k\/(k**(-5)*k*k)*k*k*k*k)\/k)\/k)\/(k*k**(3\/5)\/k))**35)**12 assuming k is positive.\nAnswer: k**2688","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a*q**3 + 286*a*q**2 + 6*a*q - 10*a + 3*q**4 - 380083*q**3 + 2*q**2 - 1 wrt q.\nAnswer: 6*a + 72*q - 2280498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -112 - (-41 - -74) - -120.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -9. Differentiate 9*u**h - 27 + 6*u**3 + 56 + 6*u**3 with respect to u.\nAnswer: 63*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51842930663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12000 (base 3) to base 4.\nAnswer: -2013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5534015 (base 6) in base 2?\nAnswer: 1000011100110111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2205187.\nAnswer: 2205187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 8) to base 3.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*o + 50*o - 5*o**2 - 8*o - o**2.\nAnswer: -6*o**2 + 21*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 (base 7) in base 13?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -5*u. Let j(p) = p**2 - 4*p + 4. Let q(o) = o - 2. Let l be q(5). Let i be j(l). What is d(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 357705 to the nearest integer?\nAnswer: 598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -99, -85, -45, 33, 161, 351, 615, 965?\nAnswer: 1413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(20)*1)\/(-4*sqrt(36)).\nAnswer: -sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 122 + -67. What is the remainder when y is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3151 - 3149. Solve -85*n - k = -84*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 44 - 2035?\nAnswer: -1551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1582243 (base 9) to base 4.\nAnswer: -3113003001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 341895515 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: Solve -87*c + 23*c + 20 = -44 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 133092 divided by -22182\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4*m - 2. Suppose 5*q - 10 = -30. What is the remainder when q\/14 + 2475\/63 is divided by g(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 5*n. Let i(m) = -m - 10. Let p be i(-7). Let b = p - -2. Let g = b - 2. Calculate d(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -56 (b) -3\/4 (c) 17 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 1:56 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 800 and -29.\nAnswer: 771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005471543 to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 528 = 518 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1*-1939\nAnswer: -1939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164443 is divided by 10962?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 13888501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -11*f**6\/30 - f**3\/6 + 31*f**2\/2 - 38*f. Find the second derivative of h(m) wrt m.\nAnswer: -132*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 101.29845 months?\nAnswer: 8.4415375","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - q + 1)*(-4 + 3*q + 4) - 3*q**2 - 2*q + 2*q.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12507245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 15*v**2 + 16*v - 23. Determine w(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-18\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3 + 10*q + 0 + 2*q**3 - 2 - 4*q**2 + 4. Let m(v) = -3*v**3 + 3*v**2 - 10*v + 2. Let c(a) = -4*b(a) - 3*m(a). List the prime factors of c(-8).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 - -39. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -561 - -309. Let n = t + 235. Sort 1, -2, n in ascending order.\nAnswer: n, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 110*y - 1. Let j(o) = -11*o. Calculate n(j(h)).\nAnswer: -1210*h - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -7, -60, 1\/11?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 4*w + 520. Let c be ((-16)\/10)\/(26\/w). Let y(q) = 3*q - 7. Let j be y(3). Is j >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*m - 12*m - 8*m in the form z*m + y and give z.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-30)*((-35)\/(-30))\/(-7).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 75, -244, -869, -1800?\n\"Answer: -153*x**2 + 140*x + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuzyuvuuyvuyzwuuvuu. What is prob of picking 1 u, 1 z, and 1 v?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/96459 and -68\/27?\nAnswer: 868131","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 1301\nAnswer: 8\/1301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x**3 - 15*x**2 - 6*x - 8. Let z be m(-6). Suppose c + c = b - 134, -c = -b + z. What is the highest common divisor of 23 and b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 84, 120, 156?\nAnswer: 192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(192) + 2 + sqrt(192) - sqrt(192))**2 + sqrt(3))*2 + (sqrt(363) - (sqrt(363)*-3)**2)*6*2.\nAnswer: -37636 + 396*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -12 + 15 + (-109)\/(-74)*-2. What is the third smallest value in m, -3, 3, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 7*x + 3. Let c(m) = -4*m - 2. Let j(f) = 5*c(f) + 3*r(f). Let p be j(-7). What is the tens digit of (-160)\/(-30)*(-162)\/p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26111*y - 21032*y - 4 + 7584*y + 4.\nAnswer: -39559*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.2968 + -1.296794017. What is v rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, 0, -1\/4, -3, -14607\/257, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(7 - 5)*-1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 15 = -33. Let v be (-8)\/82*(-75)\/(-4). Let k = -3309\/410 + v. What is the common denominator of x and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8 and -12.37.\nAnswer: -98.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2185454*c**3\/7 + 127308*c**2\/7 + 2472*c\/7 + 16\/7.\nAnswer: 2*(103*c + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 206*h*v**3 - 5*v**3 - 15*v**2 wrt h?\nAnswer: 206*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*m + 3*m + 0*m to the form a*m + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/4)*b)\/(b**(-2)\/b)*b*b**(-1\/5)\/b*b*b**(-2\/11)\/b*(b**0\/b)**(3\/4)\/((b**(-2)*b*b)\/(b\/b**(3\/2))) assuming b is positive.\nAnswer: b**(233\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 104310 rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1718*u = 14401*u - 372426 - 449643 for u.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -610\/1523 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4 + 3*q**2 + 6*q**2 + 11 + 2*q**3 - 11*q. Let u(g) = -g**3 - 5*g**2 + 6*g - 4. Suppose 24 = 3*w - 3*d - 3, 41 = 3*w + 4*d. Give w*u(z) + 6*x(z).\nAnswer: z**3 - z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 130 and 7488?\nAnswer: 37440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + 426849478191.\nAnswer: 426849478191.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - 15. Suppose 0 = -z + 7 + h. What is the remainder when 35 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 276.3 + -275.3. What is the second biggest value in 0, 10\/3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**3 + 1804*u**2 - 10894*u - 29. What is v(6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.310301348 to 3 decimal places.\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 m when four letters picked without replacement from tdttrmwwdd?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -m + 9, 12 = -m + 3*m + 4*q. What is the third derivative of 2228*i**2 + 0 + m - 28*i**4 - 2233*i**2 wrt i?\nAnswer: -672*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 2*h - 4*h + 7*h - 2775*h**2.\nAnswer: -2775*h**2 + h - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.7509 - -0.76. What is f rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3 = 6. Calculate the highest common divisor of 1 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168871.\nAnswer: 47, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40602384*z**3 + 40576896*z**2 - 25484*z + 4.\nAnswer: 4*(z + 1)*(3186*z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -2647233?\nAnswer: -1058893.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1202111110101 (base 3) in base 10?\nAnswer: 934912","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/113 (b) -0.05 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 1:49 AM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 780 = -3*t + 762 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 66 = -5*s, 2*s = -10410*l + 10405*l + 18 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seven sixths of a minute?\nAnswer: 70000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2141 (base 6) to base 16\nAnswer: 1ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (21 - 0 - (-199 + 200))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*h - 2*h + 14*h + 7*h as c*h + a and give c.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/6*1 + 3. Suppose -l - 5 = -4. Does g = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 1012.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxbxxlxxxxxxxlxl. Give prob of picking 1 l and 1 x.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-27)*1 + 1248\/54 + -15.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**4 + 67210*d**3 - 403140*d**2 + 806200*d - 537440.\nAnswer: -5*(d - 13436)*(d - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -d + 20. Solve 3*y = -3*q + 9, -y = 3*q - d*y - 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33)\/11)\/(7\/((-28)\/8))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 739.\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 14 + -2 - 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8758321 = -259*s + 402*s. List the prime factors of s.\nAnswer: 73, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 85.8 - 97. Let h = -7.2 - x. Suppose -5*a - 5*y = 20, -17 - 11 = 4*a - 2*y. Sort 2\/7, a, h.\nAnswer: a, 2\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1112 + -657. What are the prime factors of u?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 = -38*u + 57 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**3*o + a**3*p - a**2*g**2*o - a*g**2*o*p + 24*g**2 + 2*g with respect to p.\nAnswer: a**3 - a*g**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -123, 25, 3 in descending order.\nAnswer: 25, 3, -123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxd. What is prob of picking 2 x?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**4 + 5*q**3 + 5*q**2 - 5*q - 43. Let t(n) = -n**4 - 6*n**3 - 6*n**2 + 6*n + 44. Let z(i) = -6*d(i) - 5*t(i). Differentiate z(c) with respect to c.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of f**5\/60 - 115*f**4\/24 + 19*f**3 - 724*f**2. Factor z(m).\nAnswer: (m - 114)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126 + 5*p**3 - 59 - 67 - 4*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-12)*3*3\/(-21)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -0.5 (b) -3\/29 (c) 937 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(343) + sqrt(70)\/(sqrt(10) - (sqrt(10) - 5*sqrt(10))) + 1*(0 + (sqrt(7) + sqrt(7) + 1 - sqrt(7)) - sqrt(7))*-4)**2.\nAnswer: 1112*sqrt(7)\/5 + 135647\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2140 + -1430?\nAnswer: -4120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 11:40 AM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -28? (a) -191 (b) -54\/13 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((-5)\/(-10)*(-2)\/4). Solve -3*b + 3*s - 4*s + d = 0, 3*b = s - 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -777*f = -1442*f - 1939*f - 31248 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 20 (b) 3 (c) 52 (d) -6 (e) 0.5 (f) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f + 1. Let d be w(7). Suppose 11*b = -5 - 61. Is b at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -14*b**3 + 5*b**2 + 3*b - 10. Let n be v(5). Let u = -1067 - n. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3566 - 1956. Is (-3*l + 1)\/(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20843 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*j = -377*j + 861*j - 40249 + 11599 for j.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from boooobomooobb. What is prob of picking 1 b and 1 m?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 63aa - -70a?\nAnswer: 7009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/(-2)*2\/1. Let y(o) = o**2 - 1402*o + 12551. Let u be y(9). Solve -21 = -f*m + u for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, y: 1, v: 1}. What is prob of picking 1 o and 1 v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p - 9*p + 3*p - 2*p as y*p + v and give y.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**2 - 1518*d + 192027 = 0.\nAnswer: 253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + -35 + 22 + 14. Put 97, o, 2 in descending order.\nAnswer: 97, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -29.43801?\nAnswer: 14.719005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 33729*f**4 - f**5 + 33729*f**4)*(9 - 2 - 1).\nAnswer: -6*f**5 - 78","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/32931648 and -131\/3087342.\nAnswer: 98794944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4450000 rounded to the nearest 100000?\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 545*z - 11497 - 8543 - 5575 = 0 for z.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 0.34?\nAnswer: 1.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3672 + 6?\nAnswer: -3668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -547 times -0.01\nAnswer: 5.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.82 * -476.\nAnswer: 866.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21122 (base 6) to base 10.\nAnswer: -2858","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46791?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of 13*x**3\/3 - 3*x**2\/2 + 9*x - 8. Is r(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 3*o**2 + 6*o - 3. Let q be j(4). Suppose -2*v + 3*x + 8 = 0, -5*x = q*v - 8*x - 2. Let a = 8 + 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: List the prime factors of 654939580.\nAnswer: 2, 5, 109, 300431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p = -10*p + 8920. What is p rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -796356610*d**3 - 671508426*d**2 wrt d.\nAnswer: -4778139660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.992 + 0.692. Let c(k) = k**3 - 4*k**2 - k + 5. Let o be c(4). What is the fourth biggest value in 0.2, o, 3\/5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1608080*-3.\nAnswer: -4824240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i + 25. Let b be h(22). Let p be 1*b + -25 + -35299978. What is p rounded to the nearest 1000000?\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 8 (b) 643 (c) -1\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2173?\nAnswer: 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-125070)\/(-120) - 6\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 2:52 AM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*g**2 + 10362072*g**3 - 10361791*g**3 + 18*g**2 to b*g + w + d*g**2 + k*g**3 and give k.\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffwrvftfrdrrwt. What is prob of sequence rtw?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 8*x + 4. Let v be 4\/(-26) - 102\/13. Let q be u(v). Put q, -2, -4 in descending order.\nAnswer: q, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2897*o**2 - 1828*o. Let m(x) = 1931*x**2 - 1219*x. Let f(i) = -7*m(i) + 5*w(i). Find the second derivative of f(g) wrt g.\nAnswer: 1936","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.10839 to one decimal place.\nAnswer: 11.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -14.\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -9*s. Let c(n) = 23908416*n. Calculate c(a(x)).\nAnswer: -215175744*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*o**2 - o**2 + 2*o**2)*(-3*o + 3*o + o) + (0 - o + 0)*(-14*o + 4*o**2 - 3 + 14*o) to the form k + f*o + g*o**3 + a*o**2 and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwqqqwwwwwewqwwqqqw. What is prob of picking 1 w, 1 e, and 2 q?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6546, 5174, 2888, -312, -4426?\n\"Answer: -457*u**2 - u + 7004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 504 = -2*p. Let f = p + 271. What are the prime factors of f?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v**3 + 7. Let b(c) = 4*c**3 - 8. Calculate -6*b(j) - 7*r(j).\nAnswer: 4*j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 644\/81 in -5\/2, -615, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 c when two letters picked without replacement from jjccccccccc?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 85 = 5*u, -u - 3*y = -4*y + 23. Let d be (-86)\/u + 22\/99. Suppose -d*m = -7*m + 60. What is the greatest common factor of m and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24997256434.00000067 + -24997256299. Let p = 134.137 + 0.863. Let m = w - p. What is m rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 124327 to the power of 1\/2, to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4056017179 rounded to 5 decimal places?\nAnswer: 0.4056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/(-3))\/(20\/(-210)). Let c(p) = -p**3 - 6*p**2 + 2*p - 2. Let b be c(-7). Let l = v + b. Solve -l = -5*g - 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 254*w**2. Let j(x) = -8*x - 15. Let y(f) = 3*f + 6. Let d(l) = -4*j(l) - 10*y(l). Give g(d(t)).\nAnswer: 1016*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b = -243 - 237. Let a be (2\/8)\/(45\/b). Let c = a + -106\/285. Put 1, c, 0 in increasing order.\nAnswer: c, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l**2 - l**2 - l**2)*((5 - 3 + 0)*(29 - 10 + 21)*(7 - 4 + 11) - 2 + 3 + 0) as f + x*l + t*l**2 and give t.\nAnswer: -3363","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by (450\/(-24))\/((-33)\/44)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 761 is divided by 663?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**6 - 12*f**4*k + 4*f**3*g*j*k + 2*f**2*g*k + f*g*j*k - 9*f*g*j + 3*g*j*k wrt f.\nAnswer: -120*f**3 - 288*f*k + 24*g*j*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25692?\nAnswer: 2, 3, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 + 30. Let o(r) = 2*r**2 - 3*r - 2. What is o(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.014, -1\/3, -3\/5, 0.03, 15\/139, -1\/2?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 64 - 23. Let v = a - -34. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14.9454 + -0.0546. Let w = -11.3 + 1.3. Let p = s - w. Which is the fourth biggest value? (a) -4 (b) p (c) 1 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/2, 0.9, 5\/4, -1\/5, -5\/2, -65\/3?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7341 + 7575. Suppose 61 + 191 = 7*f. What is the highest common divisor of f and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16973 - 16978.3. Let y = 11.2 + -17. Let h = w - y. Put -1, 2\/3, h, -2 in descending order.\nAnswer: 2\/3, h, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + (-54 - 5) - 5.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*b + 37 = 2*z, 3*z + 3 = 0. Suppose 3*w + b = o, 3*o + o + 5*w = 207. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -53\/231 - -1\/21. Let q = z - -21\/55. Which is the closest to 2\/3? (a) q (b) 1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35645?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - w**2 + 2*w - 6. Let a be ((-4)\/26)\/(-47 - 23180\/(-494)). What is n(a)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j**5 + 4 - 4 + (3*j**4 - 4*j**4 + 3*j**4)*(0*j - 7*j + 3*j) - 5*j**5 - 2*j**5 + 5*j**5 + (j**3 - 3*j**3 + j**3)*(-1 + 1 + j**2).\nAnswer: -7*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(1216) - (sqrt(1216) + 1 + sqrt(1216))) + sqrt(1216) - sqrt(1216))*-6)**2.\nAnswer: 43776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((5*(sqrt(15) + sqrt(15)*2)*-1)\/(((sqrt(330)*-2)\/sqrt(6))\/sqrt(11)))**2.\nAnswer: 679\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q - 5 + 4 - 2*q**2 + q**2 + q**3. Let r be 1\/1 - (1 - -1). Let s(h) = -h**3 + 3*h**2 + 3*h + 3. Determine r*s(c) - 3*t(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 864*k - 58002 - 38038 = 174*k - 1711*k for k.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z - 2. Let h(f) = f**2 + 6*f - 1. Let q be h(-6). Let m = 3 - q. Calculate v(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.3 + -74.7. Which is bigger: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 465798576 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: Calculate the remainder when 1203 is divided by (129\/172)\/(9\/336).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3086523662?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97, -223, -373, -559, -793?\nAnswer: -1087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/240*-231*7*(-2)\/(-98)?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.12 + 0.1. Suppose 5*b - 5*k = -20, -2*k - 5 = 3*b + 2. Let d = 0.27 - -3.73. What is the third biggest value in b, d, i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14 + 6*h**2 + 14)*(h + 5 - 5)*((h - 1 + 1)*(1 - 4 + 2) - 242*h + 539*h - 245*h) in the form z + q*h + o*h**2 + c*h**4 + v*h**3 and give c.\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 243981 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-8\/7)*m*m**(1\/5)*m*m)**(-45))**30 assuming m is positive.\nAnswer: m**(-19440\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -268.3 and 0.3?\nAnswer: -80.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14302 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 2\/13, -1, 2, 0.038?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f**4 - 100*f**3 - 645*f**2 - 1550*f - 1000 = 0 for f.\nAnswer: -10, -5, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-438462)\/(-14) + -17*(-18)\/1071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/20840 and -59\/7472?\nAnswer: 19464560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5961 + 361 = -4*h. Suppose -v + 4*g + 1402 = -g, h = v - 3*g. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -56, -130, -258, -458, -748, -1146?\nAnswer: -1670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*o**2 - 7228*o + 23660.\nAnswer: -4*(o + 455)*(4*o - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6.6 * -6795891\nAnswer: -44852880.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 + 0.7. Let m = 0.7 - f. Let k = m - 0.1999975. Round k to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -375118380 by 78.\nAnswer: -4809210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 414104*a**2*z**4 - 29*a**2*z**3 - 3*a**2*z - 43348*a**2 + 3*z wrt z?\nAnswer: 4969248*a**2*z**2 - 174*a**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11551*d - 23117*d + 184 + 11562*d.\nAnswer: -4*d + 184","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*m - 6*m = u - 114, -2*m = -0*u + 4*u + 14 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174*b + 131*b = 0. Suppose k - 2*w - 1 = 0, -7 = -5*w + 3. Solve -5*h + l - 11 = b, k = -3*h - 2*l + 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 2*y - y + 0*y + 18*y - 2 + 7*y + 4 + (-2 - 1 + 1)*(13*y + 2*y - 6*y).\nAnswer: 8*y + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 5. Let t be 1*(2\/(-2) - y). Put 1, t, 0 in ascending order.\nAnswer: t, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - y - 34, -20 = 4*o - 5*y + 34. Let b be (-7)\/(28\/o) + -3. Let t(m) = -7 + m + 3*m + b + 3. Calculate t(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*0.011836\nAnswer: 0.047344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 5*z**3 - 5*z**2 + 21. Let d(g) = 4*g**3 - 4*g**2 + 22. Let b(y) = 4*d(y) - 3*f(y). What is the units digit of b(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61958 is divided by 12228?\nAnswer: 818","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -47*s**4 + s**2 - 160*s - 347. What is the second derivative of g(j) wrt j?\nAnswer: -1128*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (7 - 2) + (3 - (0 + 2 - -6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2653, -5439, -8239, -11059, -13905, -16783, -19699?\nAnswer: -22659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 27 (b) 0.09 (c) 0.4 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 63*q**2 - q + 1. Let t be v(1). Find the common denominator of 31\/6 and 10\/35 + (-732)\/t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2169532 by -542383.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -391, -987, -1667, -2419, -3231, -4091, -4987?\nAnswer: -5907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*a**3 + 31*a**3 - 74*a**2 + 2 + 76*a**2 to the form r*a**2 + m*a + v + d*a**3 and give d.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*t + 1093287 + 17578991 = 241*t. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11513032 (base 6) to base 8.\nAnswer: -1315514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7867612 and 188.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-438)\/15)\/((-1)\/5). Suppose -2*v = -2*f - 74, -2*v = 8*f - 3*f + 213. Let r = f + s. Calculate the remainder when r is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 54\/11, -1, 3, 0.02, 4, 4\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 631*f - 77273. What is r(-464)?\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3570715 divided by -5.\nAnswer: -714143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*1*(sqrt(891) + sqrt(891) + sqrt(891)*-1*-4) + ((sqrt(891)*1 + 4)**2 + 0)*4.\nAnswer: 72*sqrt(11) + 3628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/(-147)*48\/(-32)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -5. Which is the nearest to 2\/9? (a) -3 (b) -2\/9 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*f - 3)*(f - 5*f + 2*f) + 0*f - f**2 + 0*f + f**2 + 2 - 2 - 2*f**2 + 5*f**2 - f**2 + (-1 - 2*f + 1)*(-f - 5*f + 4*f) + 3*f**2 - 2*f**2 + 17*f**2.\nAnswer: 28*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 600886901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 + 0\/5)\/((-30)\/241605).\nAnswer: 3, 7, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, k: 1, y: 2, b: 3, l: 1}. What is prob of picking 2 b, 1 l, and 1 y?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -29 and -2.42731203868.\nAnswer: -31.42731203868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*10 + 22 + -31. What is the second smallest value in 1\/5, 0, 1\/28, m?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 16. Suppose 45 = -q*t - 6*j + 2*j, 4*t + 3*j + 37 = 0. Let z = -7 - t. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 465 = g, 6*r = r - 4*g + 2361. List the prime factors of r.\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8.056355 meters?\nAnswer: 805.6355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 43551525 and -34.\nAnswer: 43551491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 92201958.4 to the nearest 1000000.\nAnswer: 92000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 4 - 0. Let a be (r + 48\/(-20))*3588580\/(-322956). Let j = -2\/8971 + a. Which is smaller: j or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -9*q + 56. Let k(l) be the first derivative of 2 - 7 + 8*l + 19*l**2 - q*l**2 - 7*l**2. Find the first derivative of k(d) wrt d.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.568707 microseconds in seconds?\nAnswer: 0.000003568707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 8*a - 11*a = -8*a + 19, -3*r + 21*a + 45 = 0 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -62*f**2 - 29523*f - 5029. Give k(-476).\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 4. What is the nearest to z in 0.3, 2\/9, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4857 rounded to the nearest 100?\nAnswer: -4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7810410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 7705170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*w + 1. Let p(f) = f - 11. Let r(v) = -13*v + 146. Let y(u) = 53*p(u) + 4*r(u). Let i(n) = n - 4. Calculate w*y(x) - i(x).\nAnswer: x + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 23*x + 489. Let t(g) = 1. Let b(k) = -k**2 + k. Let m(h) = h**2 - 3*h + 10. Let o(n) = -3*b(n) - m(n). Calculate x*t(u) - 2*o(u).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 70475160 a multiple of 280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 99 - -538?\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/4 (b) 1 (c) 0.23812\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-14)\/(-4))\/((-1)\/(-2)). Solve -3*b + t = 4*q, -2*q + q + 23 = 5*b for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2111353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 15*n + 17. Let w be j(4). What is the greatest common divisor of 22 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 4*k + 1. Let a be x(5). Let v be (a\/(-4))\/(1\/2). Is (-9)\/(((-3)\/v)\/1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 9\/76?\nAnswer: 9\/76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3*h - 56 + 266 = 0, -205 = -3*d - 4*h. Suppose -12*g + 69 + d = 0. Let w be (-12)\/8*(-40)\/g. Solve -2*m + b + 4 = 4*b, w*m - 10 = -4*b for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 293 - 423. Let u = -133 - g. Let a = 1 - 1. Sort a, u, -1.\nAnswer: u, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1600)\/(-136))\/50*-1*1?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ptr when three letters picked without replacement from {r: 1, t: 1, p: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*q + 13*q + 4*q**2)*(-5*q**3 + 2*q**3 + q**3) + 4*q**3 + 2*q**5 - q**3 - q**3.\nAnswer: -6*q**5 + 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 i, 1 b, and 1 y when four letters picked without replacement from vviyyvbbgvvbiyybvfvv.\nAnswer: 256\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13 (b) 1\/2 (c) 46 (d) -3\/8 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 317737 + 224?\nAnswer: 320163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 317579 - 70368 = 0. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iiiiiiiiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*b**2*k**3 + b**2*k**2*x**2 - 3*b**2*k**2*y**3 + b**2*x**2*y**3 + b*k**3*x**2 - 35*k**3*y**3 + k**2*y - 3*k*x*y**3 wrt k.\nAnswer: 78*b**2 + 6*b*x**2 - 210*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 1:13 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -55, -679, 7, -5, -11 in decreasing order.\nAnswer: 7, 2, -5, -11, -55, -679","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t + 5. Let s(m) = 4*m + 7. Let y(k) = 4*s(k) - 3*x(k). Let l be y(-1). Suppose g + 3 = 0, 0 = 3*u - l*u - 5*g + 534. Is 61 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c - 5. Let m be p(9). Let q be m + -1 + (-3)\/1. Solve -x + 3*x = q for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*a - 9 = 3*j + 23*a, -4*j + 3*a = -1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3.8, 127, -1, -0.04, 5 in ascending order.\nAnswer: -1, -0.04, 3.8, 4, 5, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/77203506 and 77\/177?\nAnswer: 77203506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 9:12 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 165*r**2 + 531*r**2 - 134*r**2 + (6 - r**2 - 5 + 0*r**2)*(-17 + 2 - 4) in the form a*r + x + o*r**2 and give o.\nAnswer: 581","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 5*q + 281, -2*r + 35*q - 34*q = -518. Is r a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 10*j - 16*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 2932.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00095 to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - f + 6*f - 25 = 0, 2*u + 5 = f. Solve -4*g - x + 21 = u, -2*g - x - 3*x = -28 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72 divided by 2\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/15840646 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 38145997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 11, u: 8, j: 1}. Give prob of picking 4 u.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) -16 (c) -256 (d) -5 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -63*j**2 + 3*j + 39. Let d be b(0). Solve l - d*l = 266 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 16*p**2 - 5*p + 12. Let l(n) = -29*n**2 + 8*n - 22. Give -3*l(a) - 5*u(a).\nAnswer: 7*a**2 + a + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by 62620.\nAnswer: 17\/62620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -19*t**2 + 12*t + 17. Let k be m(-9). Round k to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000799 rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 359*w**2 - 1054*w - 63. Give a(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**2 + 34*h + 49. Is f(-26) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -164.739*-0.9.\nAnswer: 148.2651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at most as big as 1999\/360?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 599092?\nAnswer: 2, 13, 41, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, i: 5, f: 4}. What is prob of sequence wifw?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (m**2 - 5*m**2 - 4*m**2)*(-20 + 57 - 27) in the form x*m + z*m**2 + u and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 4:46 AM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h. Let s(x) = -659*x. Calculate s(i(q)).\nAnswer: 1318*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99717.\nAnswer: 3, 43, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -82\/179265 and 17\/74.\nAnswer: 358530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rerg when four letters picked without replacement from {r: 3, g: 2, v: 2, e: 4, a: 6}.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 450614 is divided by 1215.\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 7:11 AM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 90 + -82. Suppose -m*f + 61 = 21. Let j(g) = -f*g + 4 + 0*g + 0*g + g**2. Determine j(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 44 = -4*u, 16*u - 11*u + 4*k = 61. Let f(l) = -8*l - 21. Let i(g) = 2*g + 5. Calculate u*i(c) + 2*f(c).\nAnswer: 2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*i - 2 - 39*i - 5*i**3 + 3*i**4 + 17*i - 5*i**2 to c*i**4 + s*i**2 + z*i**3 + l*i + d and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11*(-29 - (5 - 17)\/(-6)). Suppose 4*a + 3*x = -366, -2*a - 2*x = -0*x + 184. Let c = a - p. Is c a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/8)\/(10\/120*-6).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -333 - 20?\nAnswer: -353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 8*g - 7*g = -27, 2*q - 4*g = -36. Let v be 1\/(-2)*(-6 - (-2 - q)). Which is the second biggest value? (a) 3\/2 (b) -2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o**3 - 2*o**2 + 1. Let d be b(-1). Let n(q) = 2*q**2 - 9*q**3 + 8*q**3 + q + 0*q + 1. What is the units digit of n(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of j**2 - j + 1. Let h = 3 + 0. Suppose 2*g + 1 = h. Calculate m(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 5:21 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3385 is divided by 18.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*c + 316 = 397. Solve -c*v + v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1432 by 2.\nAnswer: 716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 2*h + 0*h)*(-395*h + 4402 + 258*h - 4408).\nAnswer: -274*h**2 - 12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4929\/(-12)*(-100)\/25.\nAnswer: 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*a - 34*a + 79*a.\nAnswer: 22*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13573 - 4361. Let f = 15561 - j. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 3*d - 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 289 and 867.\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 n when four letters picked without replacement from {n: 7, h: 7}?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 4*u - 32 - 356, -112 = -u - 4*n. Let r = 965 - 585. Calculate the remainder when r is divided by u.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1152 is divided by 288?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 35728621, 35728616, 35728611, 35728606?\n\"Answer: -5*s + 35728626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 29 = 5*r - 215, 0 = 3*t + 4*r - 776. Let k = t + -162. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*m - 122 = 111*m - 559. Solve 3*k = 15, 0*r - 3*r + k = -m for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 139 times -1499\nAnswer: -208361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 3*h - 66. Let r be q(-10). Let c(f) = -f**2 + 441*f - r + 5*f**2 - 5*f**2 - 440*f. What is c(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 + 3 - 3)*(1 - 1 + 1) - 9 + 0 + 2 + (-1 + 2 - 3)*(2 - 4 + 4) + 2 - 1 - 3 + 1 - 5 + 3 - 2 + 3 - 3)*(-h + 0 + 0) to m + k*h and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1104393731 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - -6881891996154.\nAnswer: 6881891996154.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3 + 7*l + 3 - 2. Let r be t(2). What is the highest common factor of 6 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) -1522 (c) -0.1 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104 divided by 104.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24\/11, 3195, -1 in decreasing order.\nAnswer: 3195, -1, -24\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53 + 55.1. Let i = 3 + -1. Let y = d - i. Which is the biggest value? (a) 5\/4 (b) y (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 16 = -5*j, 9828 = 3*d + 4*j + 9827. Let a = -0.05 - 4.95. What is the closest to 2 in d, -3, a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 494, 492, 490, 488?\nAnswer: 486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 645 = s, 2*s - 306 = -2*g + 132. Is g a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2244267 * 4.\nAnswer: -8977068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + (-182)\/(-3) - 6\/9. Let t = q - 146. Let k = t + 91. Solve 2*v - 2*m - 12 = 0, -8*v + 2 = -k*v + 2*m for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 4*p**2. Let k(r) = -876150*r. Determine k(w(j)).\nAnswer: -3504600*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -11 - (0 + 1) - 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5*l + 18 = -2*g, 4*l = 2*g + 30. Suppose -4*i + 35 = 15. Suppose f - 29 = -k, 5*f + i + l = k. What is the remainder when k is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 213003113?\nAnswer: -213003122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17 + -9?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 3)*(-7967 + 7967 + 2900*j + (-2 + 2 + 2*j)*(1 + 1 + 0) + 2*j + 3 - 3).\nAnswer: 5812*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.225645 minutes in days?\nAnswer: 0.05224003125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 907.5814mg?\nAnswer: 0.9075814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186592589.\nAnswer: 487, 383147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from {z: 3, c: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 46300 + 46826.04?\nAnswer: 93126.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-3)\/i)\/i)\/(i**7*i)*(i**(1\/3)\/i)\/i**10)**47 assuming i is positive.\nAnswer: i**(-3337\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*d**2 + 25\/3 - 10\/3*d.\nAnswer: (d - 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/2*(2432\/(-64))\/38*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*r - 4*r. Suppose 4*y - 81 = 2*b + r*b, b - 51 = -4*y. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = 4*m - 4*x - 576, 4*x = -4. Let u = m + -140. Is (u - -1 - (3 + -1)) + 15 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1842 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 5 = -4*i - 2*q, -i = -q - 4. Suppose b - 4*u - 9 = 0, 5*b + 3*u + 18 = 2*b. Sort -1, b, i in decreasing order.\nAnswer: i, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2616692, 2616688, 2616688, 2616698, 2616724, 2616772, 2616848?\nAnswer: 2616958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -489.41 to the nearest ten.\nAnswer: -490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 219.496?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 35*p + 1. Let v(x) = -69*x - 2. Let q(g) = 5*k(g) + 3*v(g). Calculate the remainder when 250 is divided by q(-2).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/5)*m*m\/(m\/(m*m*m*m\/(m\/m**(-5\/4)))*m))\/(m\/(m**(-1\/6)*m)*m)**45 assuming m is positive.\nAnswer: m**(-1023\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.9 minus 169528?\nAnswer: -169510.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 15216, 60789, 136744, 243081, 379800, 546901, 744384?\n\"Answer: 15191*v**2 + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = u - 0. Suppose u*c - j - 10 = c, 0 = -3*c + j + 22. Let k = 21 - c. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 17043*r - 102286. Calculate i(6).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4*z - 24*z + 21*z + 0 + 4 + 10 - 2*z**2. Give k(-7).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d. Let y(c) = 321*c. Determine j(y(v)).\nAnswer: 642*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - -1) + 16\/(-18). Let z = 109\/90 - c. Suppose 3*h = x, x + 3 = 6. Is z greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/2 (b) 0.7 (c) -4 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4700*x**5 + 722*x**3 - 11*x**2 - 2679*x + 19?\nAnswer: -282000*x**2 + 4332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -20. Let h be 1788\/(-10) + 5 + (-21)\/n. Let b = -142 - h. What is the remainder when b is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 16*k**2 + 16*k + 19. Suppose 21*h + 6*h = 459. Determine t(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - s**2 - 3 + 4*s**2 + (-2*s - 5 + 5)*(2*s + 2*s - 5*s) as k*s**2 + f*s + q and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooohpoqoqheehlhpo. Give prob of sequence eqq.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -2*y + 5. Is y\/2 - 525\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 48936?\nAnswer: 146808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -10, 15, 50, 95, 150, 215?\nAnswer: 290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 156 - 141. What is the third derivative of -26*f**3 + 2 - s*f**3 + 14*f**2 - 7 + 3 wrt f?\nAnswer: -246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -372 = -30*n - 21*n + 36 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**3\/11 - 494*b**2\/11 + 3042*b - 355914\/11 = 0.\nAnswer: 13, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 17*x + 23. What is the units digit of b(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11841, 11882, 11933, 11982, 12017, 12026, 11997, 11918?\nAnswer: 11777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of t**3\/6 - 8*t**2. Let v(i) = -i - 1. Let a(c) = m(c) - v(c). Let n be 2\/(-3) - 20\/15. Give a(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8315, 68397, 231475, 549047, 1072611, 1853665, 2943707?\n\"Answer: 8583*f**3 + f - 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 14 = -p + 18, 2*p + 26 = t. Let h be t\/12 - (-35)\/2. Suppose 23*q = h*q + 2840000. Round q to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, c: 14}. Give prob of sequence hcch.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -72 + 76. Suppose n*y + 2*w - 114 = 82, -5*w = -3*y + 121. Let p = 78 - y. Is 14 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - 11*b - 5. Let m(y) = -y + 5. Let d be m(10). Let o be r(d). Suppose 0 = x - 0*x - o. Solve 6*j + x = j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2bb + -64?\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 5*a - 25, -a = 3*a - 16. Suppose 2*h + n = 5*x, -6 - 7 = -5*x + 4*h. What is the derivative of -3 + 6 + c**2 + x wrt c?\nAnswer: 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/1*(-6)\/(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 31*t - 546. Let o be f(17). Sort 19, 5, o in descending order.\nAnswer: 19, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 16 + 3\/((-9)\/15)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 600965.\nAnswer: 5, 120193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oe when two letters picked without replacement from {e: 7, n: 3, r: 1, o: 1, v: 3, i: 2}.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/6669 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14316 and 197233918.\nAnswer: 1183403508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-43 - (-82 - -20))\/((-2)\/8*-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r**2 + 102*r + 494. Give h(-28).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 456263 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/(-18)*(-210)\/175*357\/(-34)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 10:59 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*m + 8*m, 300 = 2*w - 5*m. Solve 180 - w = -10*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h\/h**5))\/h)\/(h\/((h*h**17*h)\/h))*(((h*(h\/(h*h*(h*h\/(h\/h**(-2\/27)))\/h*h)*h)\/h)\/h)\/h*h*h)**(-2) assuming h is positive.\nAnswer: h**(590\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -5*y + 59. Let t be v(11). Let m = -14.5 + 14. Which is the second smallest value? (a) 0.4 (b) m (c) t (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 4:37 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 4*p + 3*j - 24, 2*j - 6 = -p. Let y = -366 - -383. Calculate the remainder when y is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j*((j\/(j*j**(-6)*j))\/j*j)\/j*j**(-5)*((j*j**(-9))\/j)\/(j*j**(-3)) assuming j is positive.\nAnswer: j**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 103225*c - 103144*c - 648 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 10:05 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*g**3 - 4*g**3 - g**3 + (0*g + 2*g - 3*g)*(g + g**2 - g) - 6*g**3 + g**3 + 3*g**3 + 4 + 19*g + 9*g - 3*g**2 - 19*g - 2*g**3.\nAnswer: -4*g**3 - 3*g**2 + 9*g + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9\/13 in -1, 0.2, -7, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 405, -2\/5, -0.5, -1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3*t = -16. Let l be 3*(6\/(-9) - -2). What is the least common multiple of 6 and 5\/(10\/l) - t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2354813189?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - f - 8, 5*g = -5*f + 20. Let h(k) = -2*k**2 + k**2 + 1 + 2*k**g - 2. Let r = -1 + 2. Let y(n) = 2*n**3 - 3*n**2 + 2. Determine r*y(z) + 3*h(z).\nAnswer: 2*z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/2 + 10 + -16 + 10. Solve k - y*o + 20 = -3*k, -25 = 5*k + 3*o for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202220002122111 - -12?\nAnswer: 202220002122200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15276 - -16870. List the prime factors of w.\nAnswer: 2, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*s - 106 + 0 = 109*s - 5*v, -4*v = 3*s - 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -28 + 163. Suppose q = -t + 72. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -366 (base 10) to base 11.\nAnswer: -303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2100\/1885)\/(-5) - 8\/(-52).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -657*u**5 - u**4 + 12*u**3 + 5*u**2 + 13*u + 26.\nAnswer: -39420*u**2 - 24*u + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1*sqrt(2448))**2.\nAnswer: 2450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(-5*y + 0*y + 2*y)*(2*y - 1 + 1).\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 488993, 488994, 488995, 488996, 488997?\n\"Answer: m + 488992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and 82.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19458\/11 - 1768. Factor -n*o - 4\/11 + 6\/11*o**2.\nAnswer: 2*(o - 2)*(3*o + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - i - 2 - i - i + 4*i + 1 - 1 + 2*i + 5*i - 3*i - 3*i - 4 + 4 - i + (-3*i - 3*i + 8*i)*(0 + 1 - 3) - 126 + 126 + 139*i.\nAnswer: 136*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 2913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -6. Suppose -2*x - o - 5 = 0, 5*o + v + 1 = 0. Which is bigger: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 250808851 and 22583.\nAnswer: 2053","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 198, -56524 in increasing order.\nAnswer: -56524, -4, 198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/88*2 - 38\/(-418)*245.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 13*p. Calculate g(-2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 45*q**2 - 6*q + 41. Is t(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10 + (-2)\/((4 - 3)*2). Let l be 12*(2 - 24\/s). Is 4\/l - 3006\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12.6 - -12.8. Let p be 2 - ((-3)\/(-3) + -3). Let x = -3 + 0. What is the second biggest value in p, a, x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of j**5\/60 + 37*j**4\/24 - 104*j**3\/3 - 12*j**2 + 76*j. Determine p(-42).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1011 + -1120021021?\nAnswer: -1120022102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - 9*x - 6. Let j(l) = l**2 - 4*l - 39. Let t be j(8). Determine n(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -515 - -520. Solve 4*f + 3 = -4*z - k, 0 = -f for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 11*t - 1. Let m be -2 + (-1 - 0 - 0). Let k be f(m). Let h = k - -51. Calculate the remainder when h is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -2544*g + 2543*g + 20, -g - 31 = 2*z for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -2*x - 6. Let s = 9 - x. Let j = s + 12. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 51a?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 - -20. Solve 3 = l + c for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/56801628 and 71\/26910.\nAnswer: 284008140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14*(-4)\/(-1568))\/((-21)\/(-56)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -103 - 6*y**4 + 243*y**3 - 121*y**3 + 2*y - 122*y**3 wrt y.\nAnswer: -24*y**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -148 - 834. Let q = x - 187. Calculate the common denominator of 0\/(-2) - q\/64 and -103\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 40429, 80468, 120113, 159364, 198221?\n\"Answer: -197*f**2 + 40630*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 556723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -24220?\nAnswer: -24211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rk when two letters picked without replacement from kjr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 29*g = 231, v - 268*g - 68 = -265*g for v.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*u - 74 = 42 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14 + -1*(-3)\/(-3). Calculate the highest common divisor of 91 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 56.084\nAnswer: -168.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3748347749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 411 - -1089. Let z be (i\/(-9))\/(6\/(-6516)). What is z rounded to the nearest 10000?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -153 divided by -51?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.05, -2, 2\/15667, -0.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m - 10. What is y(-7)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2248 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/4)\/(2*-1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 10611680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17928 divided by -498.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 27 + 13 = 0. Suppose -4*m - 2*q + 8 = 0, -q - 1 + 17 = d*m. Find r, given that 0 - 1\/5*r**5 + 0*r**2 + 2\/5*r**m + 0*r - 1\/5*r**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 25, -36, 9 in decreasing order.\nAnswer: 25, 9, -3, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1179776915.\nAnswer: 5, 79, 2986777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*y - 102 = 114*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -8*h - 3259, -4*f - 732 = 2*h + 60. Which is smaller: -406 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and 126387587046.\nAnswer: 126387587048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 343*k. Let j(c) = 105*c**2 - 8*c. Determine i(j(o)).\nAnswer: 36015*o**2 - 2744*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 728024.\nAnswer: 2, 11, 8273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 0. Let z(l) = -4*l + 3. Let b be z(d). Suppose 2*p - b = -p. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkp when four letters picked without replacement from {j: 1, p: 2, s: 1, k: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**3\/2 + 231*m**2 - 1377*m\/2 = 0. What is m?\nAnswer: 0, 3, 459","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*g + 31. Calculate the remainder when 25 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 462343\/37 + -12497. What is the common denominator of 41\/11 and x?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -71677533 and 324386.\nAnswer: -71353147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.1 + -0.1. Let m = x + -4. Let r = -0.1 + 0.3. Which is the biggest value? (a) m (b) -3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -11*d**5\/5 - d**4\/24 - 1889*d**2. Let w(k) = 3*k. Determine w(p(c)).\nAnswer: -396*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 0*a + 4*x + 2, 4*x + 14 = -a. Let p = 0 - -5. Suppose p = -2*j - 3*j. Sort 4, a, j in descending order.\nAnswer: 4, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4580464.\nAnswer: 2, 7, 40897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - s = 20. Let r be 1\/s - 738\/15. Round r to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 230332423 (base 5) to base 9.\nAnswer: 1835085","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/280*-12)\/((-1)\/(-2))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11165431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 1:34 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3359 = 21*u - 2395. Solve 276*q = u*q - 12 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 5:06 AM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*j**3 + 4*j + 5*j**3 + 7*j**3 + 0*j as d*j + k*j**3 + c*j**2 + q and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8 - 1)*2\/7. Suppose -2*r = -6 - f. Suppose -r*m - 4*l - 332 = 0, 2*m + 169 = -0*m - 3*l. Round m to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -8*o**2 + 645*o + 1288. What is s(-2)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.01 at most as big as 1\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 26 + 12 + 10 - 40*f**2 - f**3 - 2*f - f**3 to j*f + x*f**2 + g + y*f**3 and give x.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.606347 nanoseconds in hours?\nAnswer: 0.0000000000004462075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2855*r**3 + 8*r**2 + 6*r**2 - 14*r**2.\nAnswer: 2855*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -125 + 129. Suppose -r - a = 2*w - 13, -23 = -5*w - 2*r. Solve 9*i - w = 13 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 6*s + 4. Let u(c) = c**2 - 4*c - 6. Let a be u(6). Suppose -a*r + 5*r + 4 = 0. Let w(q) = 7*q + 5. Let d = -10 - -5. Calculate d*o(k) + r*w(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 641.5963 millilitres?\nAnswer: 0.6415963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 14532 and 188 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2633.\nAnswer: 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q + 3*q**3 - 6*q + 10*q - 2*q - 1253 - 4*q in the form t*q**3 + l*q**2 + a*q + r and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 168\/125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -5*q**4\/2 + 37*q**3\/2 - 7*q**2 = 0.\nAnswer: 0, 2\/5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 4 - 3*p - 3 + (14 + 21 + 11)*(-1 + 1 + p) + 0*p + 0*p + 2*p - 4*p + 0*p + 3*p + (-p - 4*p + 3*p)*(-3 + 2 + 3) - p - p + 0*p to z + f*p and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 8:17 PM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 1\/984, -0.01, -2, -398?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-1)\/((-10)\/15).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -1 + sqrt(1872) + sqrt(1872))*6 + (-4 + (sqrt(1872) - 1*sqrt(1872)))*3)**2*-1.\nAnswer: -270468 + 8640*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 divided by 26.\nAnswer: -53\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53696610 to the nearest integer?\nAnswer: 7328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 + 4410?\nAnswer: 4400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -24.7+-89125307346.3\nAnswer: -89125307371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001398 to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -64675.8513 rounded to the nearest 100?\nAnswer: -64700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -126*g**2 - 7*g + 29 + 57*g**2 + 8 - 2 + 52*g**2 to u + i*g + s*g**2 and give u.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -9*p - 86. Let z be q(-12). Let k(f) = f + 20. Let l be k(-9). Calculate the greatest common divisor of l and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -6. Let a(v) = v**2 - v + 1. Let r be a(d). Suppose 30 = 4*x - 3*k, -k + 10 = r*x - 6. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 170*y**2 - 3409*y + 74291. Determine v(-190).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40831 and 798.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51 and 1598?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 8:00 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1301 + 1859. Let m be ((-5)\/(-2))\/((-575)\/(-86940)). Let c = g - m. Is 9 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 22\/51, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4561287432 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 562227821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = q - 3*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of 2353*l**2\/2 - 4195*l + 4592. What is the first derivative of y(o) wrt o?\nAnswer: 2353","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o + 0*o - 439*o**3 - 362*o**3.\nAnswer: -801*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 2*y**2 - 4*y + 3. Let u be h(3). Let a(v) = v**3 + v + 9. Let w = -56 + 82. Calculate the remainder when w is divided by a(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4617 and 1\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, g: 2}. Give prob of picking 2 d and 2 g.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*d**2 - 9*d**2 - 14*d**2 - 56 + 10*d**2 + 3*d**2 in the form a*d**2 + s*d + b and give a.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 20010310101 (base 4) in base 16?\nAnswer: 204d11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 - 1b?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -219.4 + 181.4. What is the biggest value in -0.8, 2, 1, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*w = -18*w - 480. Suppose -9*j - w = -13*j. What is the second derivative of 3*t + j - 24 + 21*t**4 + 9*t wrt t?\nAnswer: 252*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + k = 2, 3*a - 5*k - 27 + 21 = 0. Put -2, 157, a in descending order.\nAnswer: 157, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -28*g - 999. Give f(-36).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -c**8\/112 + c**4\/8 - c**2\/2 - 3*c. Let f(r) be the first derivative of x(r). Find the second derivative of f(w) wrt w.\nAnswer: -60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-250)\/(-75))\/((-50)\/(-15))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -65386434*g**3 + 3*g + 548877872.\nAnswer: -196159302*g**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 5. Suppose -d = 5, -y*q + 2*d + 486 = q. Suppose 0*u - q = -u. Calculate the greatest common divisor of 17 and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a millimeter in nanometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*r + 5 = -77*r, 5*u - r - 355 = 0. Let y = -11 - -38. Calculate the greatest common divisor of u and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4400, 4776, 5152, 5528?\nAnswer: 5904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 5219 = -4*x - 5113, 14*x = -2*m - 74 + 472 for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1 + (1 + 1 - 1)*(4 - 6 + 3) + 42 - 37 + 52)*(0 + 0 - 2*w).\nAnswer: -114*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.1, 0.5, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3739336 - 9044842 = -5*x, 2*s = 5*x - 5305504. What is x rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2333933+-91903\nAnswer: 2242030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1218 and 34174.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.565777 hours in microseconds?\nAnswer: 9236797200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30 + 513?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*h + 32*h - 4*h**4 + 2*h**4 - 5 to v*h**2 + l*h + g + y*h**3 + q*h**4 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 9731.682g?\nAnswer: 9731682000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53395, -53399, -53403, -53407, -53411, -53415?\nAnswer: -53419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -72814*h**6 - 9*h**2 + 1074 wrt h?\nAnswer: -8737680*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7252 is divided by 3311?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**3 - 5*b**3 - b**3)*(5 - 4 + 2).\nAnswer: -9*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/11)*((h**13*h)\/h)\/h*h*((h*h**(-9))\/h)**(-17\/7) assuming h is positive.\nAnswer: h**(2698\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/68976 and 65\/108.\nAnswer: 206928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2706*x + 18924. Calculate c(7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**4\/4 + 185*k**3\/2 - 3411*k**2\/4 + 27*k + 10233 = 0.\nAnswer: -379, -3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 325856.\nAnswer: 2, 17, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 3:38 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17024660 and 16960?\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*f = 32*f + 98*f + 484 for f.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3840706?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 21*a**2 - 63*a + 2. Let t be f(3). Solve -t*w + 13 = 11 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-14) - 320\/(-924). Let o = 454 + -458. What is the fourth smallest value in 0.3, s, o, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1041904.34 to the nearest 100.\nAnswer: 1041900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.58027 years in centuries?\nAnswer: 0.3858027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, x: 1, q: 1, s: 1, u: 2, k: 1}. Give prob of picking 1 x and 1 k.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 8*h**2 + 5. Let g be m(-8). Suppose -4*a = -b - 372, g*a - b - 3*b = 454. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {r: 3, z: 1, t: 2, o: 1, w: 3}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mjmj when four letters picked without replacement from {m: 5, j: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/161616 and -83\/312.\nAnswer: 161616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7127*r - 31400 = 6342*r for r.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/(-25))\/(68\/(-255)*72\/(-96))\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**24\/(l\/(l**(-23)\/l)) assuming l is positive.\nAnswer: 1\/l","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/2)\/(i\/i**(-5)*i*i*i)*(i**(-1))**(6\/13)*(i**(2\/3)*i)**(-7\/4)*(i*i*i*i**(-3))\/(i*i**(-5)) assuming i is positive.\nAnswer: i**(-1385\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b + 26. Let z be w(-8). Suppose -z*n - 5*k = -47, 5*n - 103 = -0*n + 2*k. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 12\/47 (b) 1 (c) 0 (d) -3\/8 (e) 14\/37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4185292871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*c + 7*c - 3*c)*(8*c - 44 + 44) + 5*c**2 + 12 - 12)*((0*c + 0*c - 2*c)*(6 - 2 - 3) - c + 1 - 1) in the form k + j*c**2 + a*c**3 + w*c and give a.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 141 - 126. What is the lowest common multiple of j and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y - 40. Suppose 0 = 8*o - 0*o - 136. What is the smallest common multiple of p(o) and 119?\nAnswer: 1309","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffdffddlfflfdfdddl. What is prob of sequence dll?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.01 + -1. Let h = -0.03096197 + 0.020962. Let v = b + h. Round v to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g + 9. Let y be c(6). Let w be y*(1 - 12\/(-9)). Let l be -1*w\/2*-24. What is the greatest common factor of 12 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 0 + 10, 4*u = 5*l - 145. Suppose -2*o + 183 = -5*p, 97 = -4*p + 2*o - 51. Calculate the remainder when l is divided by (-126)\/(-10) + (-14)\/p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 4\/934981?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-4))\/(12\/16). What is the third biggest value in 3\/2, -3, r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2*-5*sqrt(204)\/(sqrt(12) + sqrt(12)*1*-3))*-2.\nAnswer: -2 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z. Let p(m) = 5*m**2 - 30*m. What is p(b(a))?\nAnswer: 5*a**2 - 30*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2060367 is divided by 158483.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4495649.\nAnswer: 23, 71, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 91129 to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and -1.38.\nAnswer: -1.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1985629 minus 177?\nAnswer: 1985452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -d**3\/6 + 2*d. Let q(m) = -2 - 5 + 5157*m - 1289*m - 1294*m - 1290*m - 1286*m. What is q(c(s))?\nAnswer: 2*s - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 965919, -3, 5 in ascending order.\nAnswer: -3, 5, 965919","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/21? (a) -1.86 (b) -0.1 (c) 72 (d) 1\/3 (e) -4 (f) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 5*j**2 + j - 5. Let x be f(5). Suppose 2*d - 2 = 3*g - 0, x = g. Solve 3*h - 5*l = 14, -h - d = -2*l - 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 times -0.23?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**5 + 2070*a**4 - 458139*a**3 + 34815600*a**2 - 833397708*a - 868673520 = 0 for a.\nAnswer: -1, 59, 60, 286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {k: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6091616404 and -0.21?\nAnswer: 6091616404.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 33396 smaller than 33208?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/(-52))\/(((-6)\/3)\/20).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/4 (b) -2\/3 (c) 1 (d) -4033\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -56674 take away -0.8?\nAnswer: -56673.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 7. Let b = i - -3.3. Let g = 0.2 - b. Sort 0.4, g, 5 in descending order.\nAnswer: 5, 0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 32*p**2 + 4*p - 3. Let y be u(3). What is the greatest common divisor of 33 and y?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 6:42 PM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -11)*(-10 - -5)\/(-10)*(-190)\/30\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 562695 to the power of 1\/2, to the nearest integer?\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1133.000022112 - -1133. Round t to 7 dps.\nAnswer: -0.0000221","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -460 divided by 5?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1523565016?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -245\/2*q + 1830 - 5\/2*q**2.\nAnswer: -5*(q - 12)*(q + 61)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/2*7\/(-21). Let b(u) = 3 + 0 + 2*u - 10*u**2 + 11*u**w. Let g be b(-3). Solve -3*j + g*j - 6 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 5*s - 38919, -2*j = 15*s - 11*s - 38916. Does 28 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2 + 4 + 2*n + 222*n - 5. Let i(j) = -j**2 - 7*j - 3. Let h be i(-6). Is a(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-30)\/2*(-4)\/12. Suppose -6*j - q = -2*j - 63, m*j - 2*q = 69. Suppose 0 = -4*h - h + j. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57793428 to the power of 1\/2, to the nearest integer?\nAnswer: 7602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 20 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(2\/9))\/q)\/(q*q**(-25)\/q)*(q\/((q*q**(3\/2))\/q)*q)**(-12\/11) assuming q is positive.\nAnswer: q**(2399\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 61136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - n - 5*n)*(1875 - 2867 + 1883).\nAnswer: -7128*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*q + 5*x = 141*q + 45, -5*x + 15 = 0. What is the fourth biggest value in -5, -3\/4, q, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5*o + 23 = 0, -4*n - o + 14 = -3*o. What is the first derivative of n*z**3 + 3 + 4*z**3 - 5*z**3 + 2*z**3 wrt z?\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66 and 35205324?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, 0.3, 4, -5 in increasing order.\nAnswer: -5, -0.8, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - 21*s + 51. Let l be j(-23). Sort 3, l, 4, -5 in decreasing order.\nAnswer: l, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-42)*n*n\/(n\/n**(6\/17))*n*n*n)\/(n**14\/n*n*n\/n**21) assuming n is positive.\nAnswer: n**(-521\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (5 - (9 - 3)) + 4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**2 + 3*s. Let p(m) = 2*m**2 + 2*m. Suppose 0 = -0*u + 5*u + 10. Let v(l) = u*d(l) + 3*p(l). Let n(z) = 5*z. What is n(v(o))?\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*8\/64*60\/(-260).\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15314855 to the power of 1\/3, to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.126954169 to four decimal places.\nAnswer: 2.127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12484.\nAnswer: 2, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -44 - -8?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 3*a**2 + 2*a - 4. Let h be y(3). Calculate the remainder when 21 is divided by (3 - 2)*4 + h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 514 - 283. Let k = n - 153. Calculate the greatest common factor of k and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g - 18 = 103. Solve -9 = 3*p - 2*q, -3*p + 2 = q + g for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 + 8. Let y = g + 25.2. Let m be (-2)\/4 + 3\/(-12). Which is greater: m or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -104, -186, -246, -272, -252?\n\"Answer: 2*v**3 - v**2 - 93*v - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41522, 40190, 37968, 34856, 30854, 25962, 20180?\nAnswer: 13508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1797 (b) -5 (c) 3\/7 (d) 4 (e) -546\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 6. What is the common denominator of ((-2)\/j)\/((-30)\/279) and -93\/34?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8282300 divided by -18005.\nAnswer: -460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.00485*-35.2.\nAnswer: -0.17072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.087046223948 less than -0.1?\nAnswer: -0.187046223948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.13*0.17.\nAnswer: 0.0221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62042481.\nAnswer: 3, 73, 94433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -27*1*39\/(-7215)*-185?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 3:53 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 79*o**2 + 168*o - 515. What is p(81)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011313 (base 4) in base 5?\nAnswer: -1014014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 times 9?\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of 11*w**6\/10 + 49*w**5\/2 + 275*w**4\/4 + 70*w**3 + 26*w**2 - 18*w - 28. Solve z(p) = 0 for p.\nAnswer: -13, -1, -2\/3, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -58, -26, 2\/7, -5, 7, -9 in increasing order.\nAnswer: -58, -26, -9, -5, 2\/7, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1480 - -1783. Suppose w = 7*o - 9127. Suppose -20*t = -10*t - o. What are the prime factors of t?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 12317?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - (0 + -2 - -2). Let c be (-9)\/(-5) + s\/10. Let a = 3 - -1. Solve a = -0*f + c*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.4 take away -0.37?\nAnswer: -22.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1805795 is divided by 684?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -883 = -9*m + 2978. Let b = m - 333. Calculate the greatest common divisor of b and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8112, 8097, 8084, 8073, 8064, 8057?\n\"Answer: l**2 - 18*l + 8129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 28*b + 106 = -15*b, -10*y + 39*y - 11 + 21 + 49 = -4*b for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 7*o - 1. Let x = 536 + -533. Calculate f(x).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(2 + 0 + 2)*(68*k**2 + 1134*k**2 - 609*k**2 + (2*k**2 + 2*k - 2*k)*(5 - 5 + 1)).\nAnswer: 2380*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f**2 - 6*f + 13. Let p(z) = 7*z**2 + 13*z - 28. Let q(d) = 13*o(d) + 6*p(d). Determine q(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 + -72. Let l = k + 50. Suppose l*a + 27 = 4*a. What is the common denominator of -75\/8 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*2*(-3 + 4). Let m = h - -19. Calculate the remainder when 31 - (-3 + m + -8) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.120449 nanoseconds in microseconds?\nAnswer: 0.000120449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14837 a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -976 - 1a?\nAnswer: -992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 29280486 + -5?\nAnswer: 29280481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*l + v, 5*l - l - 2*v = 0. Suppose d + 46 + 120 = 3*k, -d = -l. What is the tens digit of 5\/(-2)*k\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 79809.09s?\nAnswer: 1330.1515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -187*n**3*y**2 + 2*n**3*y - 2*n**3 - 27*n**2*y**2 + 2*n*y + 26*y**2 wrt n?\nAnswer: -1122*y**2 + 12*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-112)*8\/(-2).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**5\/x**(-4))**(23\/2)\/((x**(-2\/17)\/x*x*x*x)\/x**(-9))**(-3) assuming x is positive.\nAnswer: x**(4629\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 8 - i**2 - 20*i - i**2 + 42*i + i**2 - 26*i. Calculate k(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((-4 - -3) + -3 - -3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)\/(5*sqrt(48) + sqrt(12)))\/(sqrt(224)\/sqrt(7)))**2.\nAnswer: 7\/1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 126816 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000008667 to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -262, -507, -740, -955, -1146, -1307?\nAnswer: -1432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 134558460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/58 + 99\/986. Let g = -31 + 31.4. Put 0.3, x, g in descending order.\nAnswer: g, 0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -12710, -25179, -37662, -50165, -62694, -75255?\n\"Answer: -v**3 - v**2 - 12459*v - 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 5*v**2 - 5*v - 2. Let p = 367 + -371. Let c(w) = -9*w**2 + 9*w + 4. What is p*c(o) - 7*u(o)?\nAnswer: o**2 - o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/sqrt(5) + 0)**2*5.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -56 and -0.07?\nAnswer: 3.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/5 - 342092*v\/5 - 14628367058\/5.\nAnswer: -2*(v + 85523)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*b**3*r**3 - 1026*b**3*r - 3*b**3 - b**2*r**3 - 9*b**2 + 1670*r**2 wrt b?\nAnswer: -42*r**3 - 6156*r - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 4*t + 51 = -2*t, 2*z - 3 = 5*t. Suppose z*w - 2*w - 14 = 0. Solve -3*u - w*i = -7*u + 18, 5*u - 9 = -2*i for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 + 2*u**2 - 6*u**2)*(0*u**3 - u**3 + 3*u**3) + (0*u**2 - 5*u**2 + 3*u**2)*(-24*u**3 - 5*u**3 + 7*u**3).\nAnswer: 36*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 19*g**3 - 3*g**2 - 3*g + 3. Let d(z) = -550*z**3 + 88*z**2 + 88*z - 88. Calculate 3*d(k) + 88*i(k).\nAnswer: 22*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -37*r - 5. Is z(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 2852955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 times 391945?\nAnswer: -3135560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + 634*n + 40984. Determine i(-561).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1164 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-21)*d*d)**(-11)\/(d\/(d*d\/(d*d\/(d\/d**(-1\/8)))*d))**(-33) assuming d is positive.\nAnswer: d**(1375\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 8*f - 30 = 0. Suppose 2*j = f*n - 78 - 129, -4*n + 188 = 4*j. List the prime factors of n.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-41 - (-16 - 29)) + -11?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-1 + -3)\/(18\/(-11052))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 5*k + 6. Suppose 30 = -j - 4*j. Let d be v(j). Suppose d = t - 3*w - 32, 4*w - 38 + 14 = -2*t. Is 5 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*x + 5*x + 160. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3370928 and 61039?\nAnswer: 1969","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 4. Let d be l(-2). Suppose d = -z - 21 - 30. Let r = z - -52. Solve c + 3*i = -c + 5, -3*i + r = 4*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266*s - 4*f = 271*s - 28, 4*f - 12 = -s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/5 + 3909804*s**2\/5 - 1910817004992*s\/5 - 3821649649216\/5.\nAnswer: -2*(s - 977452)**2*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -78*b + 78*b - 155*b + 17*b in the form d + h*b and give h.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j = -28566 - 29061 + 57078 for j.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -3. Let r = -1 + 1.35. Let g = r - 0.4. What is the third biggest value in 2\/5, t, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 5*h**2 + 4*h + 2. Let z = 2 + -6. Let p be b(z). Solve 2 = 3*a - p*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1)**(1\/75)\/(q*q**(-2\/9)*q)**24 assuming q is positive.\nAnswer: q**(-3199\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -529, 83 in decreasing order.\nAnswer: 83, 5, -3, -529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*v = r - 321, -5*r = -4*v + 538. Let q be 2*r\/(-4) + -1. Suppose -4*p = m - 3, 0*m - q = -4*m + 5*p. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 9969*s**2 - 14*s + 32. Let l be z(-6). What is l rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 21, 52, 101, 168?\n\"Answer: 9*h**2 + 4*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1)*q)**(-40)*(q*q\/(q*q**(-4)\/q))\/((q\/(q*q**(-6)))\/q))\/(q**4\/q**(5\/4)*(q**0)**(-2\/33)) assuming q is positive.\nAnswer: q**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r + 10*r + 5*r)*(3*r + 0*r - 2*r)*(r + 3 - 3).\nAnswer: 21*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -45*w**2\/2 - 2. Let r(l) be the first derivative of 0*l**2 + 2\/3*l**3 + 0*l - 44. What is c(r(o))?\nAnswer: -90*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2\/3, -2\/29, -32, -1 in decreasing order.\nAnswer: -2\/29, -2\/3, -1, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/15 (b) 235 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10012210 + -21333?\nAnswer: -10100203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -4*d - 1. Suppose 11 + 3 = 5*i + a, -5*a + 28 = 4*i. Suppose i*t = -4*r + t - 25, 2*r = -5*t - 35. Is n(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*d + 7*d + 7*d.\nAnswer: 21*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9 (b) -1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37 + -31. Let c(b) be the first derivative of b**2\/2 + 3*b + 3. What is the units digit of c(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, t: 1, v: 2, g: 2, x: 2}. Give prob of sequence vxxv.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 41341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from khxbxdxx. What is prob of picking 1 b, 1 k, and 1 d?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-14)*96\/(-36)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 618\/95, 0.1, -3\/2?\nAnswer: 618\/95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffeffefef. Give prob of sequence effe.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4 + 40866076*t**3 + 208754439222554*t**2 - 835018247283192*t + 835018410747528.\nAnswer: 2*(t - 2)**2*(t + 10216521)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of i**3\/3 - 7*i**2\/2 - 6*i - 130. Suppose -10 = w - 6*w. Suppose -8 = -w*b + 6. Determine n(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 1. Let p(l) be the first derivative of 17*l**2\/2 - l - 2. Let g be p(i). What is the highest common factor of 2 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.05 (b) 235 (c) -0.17 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53 + (5 + -96 - 35).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by 42.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q**2 - 7*q + 7. Let w(z) = -z**2 + z + 3. Let h(x) = -x**2 + x + 4. Let p(j) = -4*h(j) + 5*w(j). Determine -l(y) - 6*p(y).\nAnswer: 2*y**2 + y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 1 - (-7 - -14)) + -2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/5*80\/(-24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 + 27. Suppose b*d - d = 35. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4404 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 59*i**2 - 160*i - 5069. Let b(n) = 11*n**2 - 30*n - 943. Let m(o) = -43*b(o) + 8*u(o). Let r(q) = q**2 - q + 10. Let z be r(0). What is m(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 650495?\nAnswer: 5, 130099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 8*39\/(-26)*1\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from rccrcccccccccr.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02538737 to 3 decimal places.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 7:17 AM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 5829.77 grams?\nAnswer: 0.00582977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -88, 2 in descending order.\nAnswer: 2, 1\/5, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7093, 13045, 18999, 24955, 30913, 36873, 42835?\n\"Answer: b**2 + 5949*b + 1143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 4:12 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 21*f**2 - 274*f + 22. Give s(9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 7) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*b + 105*b = 70*b + 3599 for b.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 2*l**2 + 4*l - 10. What are the prime factors of y(-5)?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 675707606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(4\/5)*f\/(f\/f**(2\/9))*(f*f\/(f**5*f))\/(f*f*f\/((f\/(f*(f\/f**(-5)*f)\/f*f))\/f)*f) assuming f is positive.\nAnswer: f**(-674\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24 - 8*a + 6*a + 25*a - 25 to x + f*a and give f.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 4*b + 80 = -100, -12 = -4*b. Calculate the highest common factor of 28 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 171 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 80*o - 54*o**4 - 36*o**3 - 48*o**2 + 20*o**4 + 5 - 5 + 38*o**4.\nAnswer: 4*o*(o - 10)*(o - 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + c + 3385 = 0, 19 = -2*c + 17. List the prime factors of l.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.04 + 4.96. Let u = j - -10. Let o = 14.5 - u. What is the second biggest value in -5, o, -0.02?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 4*a = v - 8, 0 = 5*v + 2*a - 22. Solve 3*p = v*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -8, -10\/13288727?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 7*h - 6. Let b be j(6). Suppose 5*q - 44 = b. What is the highest common divisor of 4 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 + 69\/2. Sort 1\/2, 3, k in descending order.\nAnswer: 3, 1\/2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 7*j**2 + 11*j. Let h be w(5). Suppose -5*l + g + 2500 = 0, -1309 - 1171 = -h*l + 5*g. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.067*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*z = 4*y - 20, 0 = -y - 3*z + 5. Suppose y*l + 12 = l, -5*l = p + 10. Solve p*w + g = 13, -w - 6*g + g = -17 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -584 + 587. Let b(h) be the second derivative of -4*h**2 + 0 - 2\/3*h**k - 1\/24*h**4 + 14*h. Factor b(l).\nAnswer: -(l + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 265\/(-1749)*(-6)\/(-106). Is 0.2 at most as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59446261 is divided by 111.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (88*y + 147*y - 52*y)*(4*y**3 - 2 - y**3 + 4*y**3 - y**2) in the form o*y**4 + b*y**3 + w*y + r*y**2 + d and give o.\nAnswer: 1281","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1788028 by -4.\nAnswer: -447007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f + 5. Let c be w(11). Let p be 8\/12*(-1 + -7). Does p = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74.507 rounded to zero decimal places?\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*1\/(6\/6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*c = -2. Find the third derivative of m**3 + m**3 - m**6 - 2*m**3 - c*m**2 wrt m.\nAnswer: -120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide (-2)\/(4\/(-1398)) - -10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24789 + -123947\/5. Which is the nearest to i? (a) 4 (b) 15 (c) 0.1 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 + 3)*(3*y**3 + 52*y**4 + 1686*y**2 - 1686*y**2) to q*y + n*y**3 + b*y**4 + w*y**2 + d and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 23*a**2 + 23*a - 22. Let m be x(22). Sort 5, -4, 8, m.\nAnswer: -4, m, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 3659.96 grams?\nAnswer: 0.00365996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (-60 - (-13 + (-15 - -11))).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 558683.255 rounded to the nearest one hundred?\nAnswer: 558700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 122120?\nAnswer: -122112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in 5\/3, -2, 0, -0.2?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 218021.79 - -10658.2014. Let i = -228621 + j. Let b = -59 + i. Round b to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 12*g - 23. Calculate o(-11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11ac (base 13) to base 3.\nAnswer: 10102220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 28, 45, 68, 97, 132?\nAnswer: 173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*s + 51*s = 82638. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -11358*u**4 - 2387524*u**3 - 492200*u**2 + 8400*u = 0.\nAnswer: -210, -2\/9, 0, 10\/631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -61100 (base 7) to base 14\nAnswer: -5570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2491*v**2 - 2 - 829*v**2 - 825*v**2 + 2 - 821*v**2.\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 140*h - 1102. Let k be p(8). Solve -r = -5*d + 15, 3*r + r + k = -d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h + h - 2*h - 8 + 8 - 2*h + (1 - 2 + 0)*(-3 - h + 3))*(-4*h + 5*h - 3*h)*(-4 + 1 + 7) to the form o*h + d + m*h**2 and give m.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 9. Let x = 10 - c. Let m(j) = j + 6 + j - j. What is m(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-1))**(4\/5)\/(s**33*s\/(s\/s**9)) assuming s is positive.\nAnswer: s**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mk when two letters picked without replacement from {m: 5, q: 3, k: 2}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -6*j. Suppose x - 2*r + 8 = j, -5*r + 11 + 12 = -x. Suppose -x*q + 3*q = 0. Which is the closest to -1? (a) -0.4 (b) q (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 185283256 to the nearest integer?\nAnswer: 13612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1701, 1785, 1897, 2037?\nAnswer: 2205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 133.65 - 133.564188. What is l rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 43560503 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -99*o. Let r(h) = 27*h**2. Give a(r(g)).\nAnswer: -2673*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -21417780 divided by 10?\nAnswer: -2141778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 602\/129*48\/(-28)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, r: 3, z: 6}. What is prob of sequence rzz?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 12*w**2 + 14*w + 12. Let l be x(12). Let k be (-2)\/(-7) + l\/56. Which is the smallest value? (a) -1\/2 (b) k (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 375587881?\nAnswer: 375587881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6222 and 408.\nAnswer: 24888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -10*h**3 + 2*h - 1. Let c be u(-2). What is the highest common factor of 30 and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -7*r - 1. Let v be m(-1). Let g = -2 + v. Suppose 24 = -g*b + 84. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1809316ns to microseconds.\nAnswer: 0.0001809316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -7?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -2 + 1581 - (-63)\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 536 and 10297496.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(2\/5))**(-50)*v*v*v**1*v*v\/(v*v*v*v\/v**3*v) assuming v is positive.\nAnswer: v**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4a + -5532237?\nAnswer: -5532198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21758006\/35 - 621705. Let p = 333\/7 + u. Do 1 and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16 + -5 + 20)\/((-1)\/24856). Calculate the highest common divisor of 104 and a.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*b + 0*b + 11*b.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (464\/(-24) - -18)\/(1\/(-3)). Suppose 3*k + 2*k - 250 = 0. Let f be -3*(k\/15 - w). Solve f = -3*s - 4, 0 = o + 4*s + 7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -5*p - 52. Let s(w) = 24*w + 262. Let b(u) = 16*d(u) + 3*s(u). Let q be b(-8). Calculate the greatest common factor of 90 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -o**4\/24 - o**3\/3 + o**2. Suppose 3*x - 3 = -9. Calculate g(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 37 (b) 1411034 (c) -2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-1) - (-15)\/6)*(-28340)\/3270.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.083855ml to litres.\nAnswer: 0.002083855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -1.83 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 174599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 236*y**3 + 6*y**2 - 15*y - 3. What is the tens digit of u(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 92225 and 365211?\nAnswer: 9130275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u**4 - 5*u**3 - 119*u**2\/5 - 87*u\/5 - 18\/5 = 0.\nAnswer: -1, -3\/5, -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -21.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 divided by -22?\nAnswer: 31\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + a?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -588 + 670. Suppose -61*r = -x*r + 13440. Does 20 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 95319 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.057 + 0.19. Round h to two dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8505, 16450, 24393, 32334, 40273, 48210?\nAnswer: 56145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + -15. Solve -s - 3 = -z for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 l when two letters picked without replacement from wrlnwwnwmw?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (11\/(-132))\/((-1)\/12). Which is smaller: b or -15\/68?\nAnswer: -15\/68","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1112580671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 892 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/6 - (-23)\/(-46)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, r: 5, k: 7}. What is prob of sequence kr?\nAnswer: 35\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ludlud. Give prob of sequence lu.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/4))**(3\/2) assuming d is positive.\nAnswer: d**(3\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 861981018 to the nearest integer?\nAnswer: 952","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/3*(-30)\/(-55)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 10}. What is prob of sequence cccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = l - 3*v, 2*l = 1063*v - 1069*v + 50 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (30\/(-4))\/((-57)\/12 + 4). Let s be 6\/(-9) + (-35)\/(-3). What is the second derivative of -f**2 - x*f - s*f**3 + 0*f**2 + f**2 wrt f?\nAnswer: -66*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 145 + 41. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2*x = 6, -3*z + 7*x = 2*x + 9. Let d(t) be the first derivative of 35*t**3\/3 - t**2\/2 - 11*t - 170. Is d(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -2*o - 140, 2*o = -0*r - 5*r - 113. Let x be (o\/(-2))\/2 + 0. Calculate the greatest common divisor of 112 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2530 + 4073. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004044 rounded to seven decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.027 + 0.103. Put -2\/17, 0.4, k, -0.5 in descending order.\nAnswer: 0.4, k, -2\/17, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 482.1 - 482.1. Which is the closest to k? (a) 1 (b) -4 (c) 1\/21 (d) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q**2 + 4*q**2 - 6*q**2)*(-72 + 50 + 13 + 53 + 75*q).\nAnswer: 300*q**3 + 176*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/7)*j*(j*j**(-1\/5)*j)\/j)\/(j**1\/(j\/j**(-3\/7)*j))*(j*j*j**(-1\/3))**(-46)\/((j*j**6)\/j**(5\/2)) assuming j is positive.\nAnswer: j**(-16337\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -352\/5*a**3 + 4096\/5 - 368\/5*a**2 + 512*a + 5\/2*a**5 + a**4 = 0. Calculate a.\nAnswer: -16\/5, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s*s**(1\/2)*s\/s**(3\/5))\/((s\/((s**(1\/2)*s)\/s*s))\/((s**(8\/3)\/s)\/s*s)))**15 assuming s is positive.\nAnswer: s**91","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 5:10 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1301*s**5 + 4*s**2 + 177 wrt s?\nAnswer: 78060*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 4*u - 1, -2*b + 7*b - 5*u = 0. Let q = b + 3. Suppose -3*a = 3*o + q*a - 151, -3*a - 41 = -o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -4*v + 3, -3*x + 4*x + 6 = -v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5364753 >= 59012298\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 651 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1432 + 1432.1. What is the smallest value in 0, t, 62, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 5*h**4 + 3*h**3 + 3*h**2 - 1. Let x(c) = -11*c**4 - 7*c**3 - 7*c**2 + 1. Let j(k) = 7*l(k) + 3*x(k). What is the first derivative of j(o) wrt o?\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38+-130.0339\nAnswer: -92.0339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-3)*45*19\/228.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2 + (2 + sqrt(425) + 1 + 5 + sqrt(425) + ((sqrt(425) - sqrt(425)*2) + sqrt(425) - sqrt(425)) + sqrt(425))**2)*-4.\nAnswer: -7059 - 640*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**3\/(i**(-2\/13)\/i*i) assuming i is positive.\nAnswer: i**(41\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 8. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*x + 2*w, 2*x + w + 16 = -x. Let b(t) be the first derivative of -t**3\/3 - 5*t**2\/2 + 11*t - 6029. Give b(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -71b0b4c + -2?\nAnswer: -71b0b4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.192, 1, 3\/4 in decreasing order.\nAnswer: 1, 3\/4, -0.192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-675)\/(-405))\/((-5)\/3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -560*n = 17665 - 902 + 11237 for n.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3328 and 9.\nAnswer: 29952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 118996236 divided by -6\nAnswer: -19832706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 830758 + -4?\nAnswer: 830754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18707561?\nAnswer: 109, 171629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.86503 centuries in years?\nAnswer: 6686.503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - h + 5, 5*c + 3 = 3*h - 12. Suppose -2 + c = -5*p - y, -16 = -4*p + 4*y. Let d = 1 + p. Solve 2*x + d*x = -16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/(-5) + (-2)\/(-5). Suppose 2*v = -4*c + 60, 8*v = 3*c + o*v - 56. Suppose 0 = 38*i - 35*i - 144. What is the highest common factor of c and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 76160 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16448 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 - -51. Suppose 3*z = -4*z + d. Suppose z*c + 8*u = 4*u + 69, -4*c + 67 = -3*u. Is c even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.06941317 and -2\/19 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 16 = 4*x - 2*u, -3*x - 4*u + 16 = 0. Let z be 2\/15*(x - -3). Let r = 2.7 - 3. Which is the closest to z? (a) -5 (b) r (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -17*i**5\/60 + 7*i**4\/24 - i**3\/3 + 1. Let t(l) be the third derivative of m(l). Is t(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2512 + -5?\nAnswer: 250a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90282 is divided by 473.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9874.898 kilometers to micrometers.\nAnswer: 9874898000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*1\/2*(-17)\/((-238)\/980).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((1*sqrt(1088) + 0 - sqrt(1088)) + (0 + sqrt(1088) - sqrt(1088))*-2 + -4 + sqrt(1088) + (sqrt(1088) + 0 - sqrt(1088))*-4))**2.\nAnswer: -1024*sqrt(17) + 17664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 2 = 3*n, 4*n - 7 = 2*l - 3 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -91?\nAnswer: -5\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*f + 7*f - 27*f + 4 - 6.\nAnswer: -7*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -3\/4, -6, 2\/45, -0.1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 1. Suppose r*j = 4*j - 12. Solve j*b = -b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23.3 + -24. Let f = -0.2 - h. Which is the third biggest value? (a) f (b) -4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7396*t**4 + 4128*t**3 + 576*t**2.\nAnswer: 4*t**2*(43*t + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 6)*(-1414*d + 1414*d + 2290*d**2) + 0*d**2 - d**2 + 2*d**2.\nAnswer: 4581*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 626443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2a7280 + -5?\nAnswer: -2a7285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3403?\nAnswer: 41, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 3246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50728926?\nAnswer: 2, 3, 1447, 5843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -5*p + 89 + 25, 0 = p + 5*r + 6. Let i = 5 - 2. Suppose -i*g + 41 = -100. What is the remainder when g is divided by p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) -1\/2 (c) -5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + -59. Let k = -71.00035 - q. Round k to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-six fifths of a century?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 17*z - 89 = 0, -7*w + 474 = 4*z + 480 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 + 2*f**2 + 6*f**2)*(-3*f + 3*f - f + (-4*f + 5*f - 2*f)*(-4 + 5 + 0)).\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 8, 1, -2, 46\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-35 - -39)) + (-1 - 19)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -17*x**2 + 70*x - 57. Let t be u(3). What is the nearest to -2 in -0.5, 1, t, -0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 4*p - 4 = -10*l, -5 = l - 4*p. Let i(u) = -4374 + 4371 - u**l - 5*u**2 + 10*u + 0*u**3. What is i(-7)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.6+-87791528600\nAnswer: -87791528597.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {v: 3, r: 9}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*v + 3. Let t be v\/10*5\/(-1). Suppose 0 = 2*r - 2*f - t*f - 10, -r - 2*f = -5. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 5*l + 4*r + 17, 4*r = -38*l + 43*l + 75 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 54236, 108090, 161944, 215798, 269652, 323506?\n\"Answer: 53854*j + 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1583290\/56 + 542\/(-15176)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 101\/10 - -176\/15. Suppose 0 = 2*c + 41 + 73. Calculate the common denominator of o and (c\/133)\/((-3)\/20).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-129273)\/2102*6\/(-27)*-3?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2430722*g**2*s**4 - g**2*s - 4*s**4 + 11904471*s wrt s.\nAnswer: -29168664*g**2*s**2 - 48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 384 = 3*f. What is the units digit of (1\/((-8)\/f))\/((-1)\/(-68))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1139? (a) 2\/45 (b) -3 (c) 4\/5 (d) -0.5 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/8 and 8 + (-30)\/5 + 69\/42.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - z + 2. Let w be j(0). Suppose -w*s + 7 = -s. Let q be s\/(-28) + 3\/8. Are 0 and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3988*v + 6 + 598*v - 7 + 1455*v - 3200*v in the form l*v + x and give l.\nAnswer: -5135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**2\/21 + 16*z\/7 - 512\/21 = 0. Calculate z.\nAnswer: -32, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2.5 times -0.049\nAnswer: -0.1225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -28 + 60?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + c - 1. Let s be 124\/12 - 1\/3. Suppose 2 + s = 6*a. Suppose -4 + 6 = -a*d. Let j(z) = 4*z**3 - 3*z + 3. Calculate d*j(r) - 3*f(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/365 and 54\/4885.\nAnswer: 356605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*v - 5*v - 4*v + 15*v as l*v + s and give l.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11040005651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of 0*c + 0*c**5 + 0*c**6 - 1\/56*c**8 + 0 + 0*c**7 + 0*c**3 - 1\/12*c**4 + 4*c**2. Find the second derivative of w(o) wrt o.\nAnswer: -120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of t**7\/75 + t**6\/25 + t**5\/50 - t**4\/30 - 13*t**2. Solve f(y) = 0 for y.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1246 - -14. Does 63 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 3:31 AM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -1. Let z(w) = -w**3 - 11*w**2 - 9*w + 12. Let t be z(-10). Find the second derivative of 2*a - t*a**4 - 10 + 10 + a**r wrt a.\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 3*i + 3. Let y be a(3). Suppose y*o + 4*n - 338 = 2*o, -3*n + 1724 = 5*o. List the prime factors of o.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = c - 869, -4*c + 6*c = -2*m + 586. Is m equal to 288?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 o when two letters picked without replacement from olvlkkgglgklvvogkkgl.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15894661\/15 - 1059238. Let i = q + -406. What is the third smallest value in 0.5, -1\/3, i, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -169, -348, -543, -754, -981, -1224?\nAnswer: -1483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 10:53 AM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 960739 and -231600048.\nAnswer: -230639309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 200510 + -30076387\/150. Find the common denominator of z and -68\/285.\nAnswer: 2850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhkkskkkkkshuuuk. Give prob of sequence uss.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2302 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -j - b, -4*b + 12 + 0 = 0. Let v = j + -34. Let k(y) = 497*y + 0*y**3 - y**3 - 495*y - 5 + v - 2*y**2. Determine k(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 - 33. Solve 2*j + l = -1 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.057*-18\nAnswer: -1.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -49, -73, -97, -121, -145?\nAnswer: -169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (1260\/(-49))\/(-3)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-2) + -1 - 7. Let z(f) = f**3 + 4*f**2 - 6*f. Let b be z(x). Suppose -8*u = -6*u. Solve -4*g - j - 2*j = 13, -b*g - j - 8 = u for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of o**5\/15 + o**4\/24 + 5*o**3\/6 - 2*o**2. Let h(t) = 9*t**2 + 2*t + 9. Let v(u) = 7*b(u) - 3*h(u). Calculate v(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 1. Let s = -14.9 + 1.9. Let w = 15 + s. Sort h, w, -0.4.\nAnswer: -0.4, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 82\/(-36) - 4\/18. Let d = 770 - 770.4. Which is the second biggest value? (a) p (b) -6 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -7*s**2. Let u(c) = 30817*c**2. Calculate u(n(w)).\nAnswer: 1510033*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + t + 29, -4*z + 0*z = 3*t - 17. Let r = -3 + z. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(60)*2)\/sqrt(2)*2)\/(-2*sqrt(640)*4*-1).\nAnswer: -3*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 8*v - 6 - v**2 - 2*v + 1. Let b be a(6). Let g(f) = 0*f**3 - f**3 - 6*f**2 - 5*f + 0*f**3 + 2. Calculate g(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -250*x**3 - 4*x**2 + 3*x. Let j be r(2). What is j rounded to the nearest one hundred?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + 18. Let o(c) = -c**2 - 2*c + 1. Let s be o(-2). What is the second smallest value in s, d, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*t = -49*t + 588. Is t a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.859 + -0.059. Let f = j + -0.8. Let y = -24 + 27. What is the third biggest value in f, 0.3, y?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -626018.1 to the nearest ten thousand.\nAnswer: -630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 219 - 219 + 2*r to the form d + u*r and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.5 - -13. Let y = 2.5 + u. Let r = -1 - 3. Sort -0.5, r, y.\nAnswer: r, -0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i*i*i*i**1\/i)\/i)*i)\/i*i)**(-11\/7)\/(i**(2\/5)\/(i\/(i*i**(5\/6)))) assuming i is positive.\nAnswer: i**(-37\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1164 + -1158. Which is the third biggest value? (a) r (b) -4\/9 (c) -2\/3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-2)*(5 - -1). Let z(s) = -2*s - 9. Let b be z(-6). Suppose -u - b = -2*u. Solve 0 = u*w + k - 24 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**2 + 609729*d + 12194980 = 0 for d.\nAnswer: -20, 609749","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 439476559 divided by -3\nAnswer: -439476559\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1b513 (base 16) to base 10\nAnswer: -111891","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 10 + 6. Suppose -3*n + 19 = -5*r, n - 5*n + l*r = -28. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -513*r**3 + 2*r**2 + 3*r + 5. Is u(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 345 = 5*l - 5*a, a = 2*l - 798 + 662. Is 126 at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand z + 5*z - 3*z + (16 - 16 - 11*z)*(-13 + 2 - 1).\nAnswer: 135*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 3*u**2 - 2*u + 8. Let t be d(-4). What is the common denominator of t\/(-4) - 238\/20 and -25\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11313 is divided by 164?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p + 164 = -2443. Is p <= -238?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (60\/(-210))\/(((-36)\/14)\/(-6))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -442, 27, 786, 1817, 3102, 4623, 6362?\nAnswer: 8301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 2, 4, -0.3, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250*s = 167*s + 3818. Let x(z) = 3*z + 1. Calculate the remainder when s is divided by x(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*t - 55 = -9*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -i + 3, -4*t + 17 = -i - 0*i. Solve 2*c + 5*m = 17, 17 = 2*c + 3*c + t*m for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -1737*i**3 - 5*i**2 - 2. Is 60 a factor of o(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/3996 and 155\/4536.\nAnswer: 167832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m**(-12\/7)*m)\/m))\/(m*m*m*m**(-4)*m*m*m*m)*((m**(-1\/6)\/m*m)\/m)\/m**(-22) assuming m is positive.\nAnswer: m**(863\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 9*m + 13. Let g be v(5). Calculate the remainder when 39 is divided by (g\/3)\/((-1)\/(-6)*-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p + g = 13*p - 10, 5*p - 10 = 3*g for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3 + (4 + sqrt(7)*2)**2 + 5 - ((-5*(sqrt(70) - sqrt(70)*1))\/(sqrt(250)*2))**2).\nAnswer: -52 - 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 72099.5 rounded to the nearest 100?\nAnswer: 72100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 5*b - 21, 11*b - 13 = -r + 8*b for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -7, 0.2, -391, 2\/5, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, -6\/13, -2, -0.18, -1.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 20 = 0, 2*t = 2*m + 2 - 16. Suppose -5*w + 76 = c, -72*c = -76*c + 4*w + 400. What is the greatest common divisor of c and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -677229*t**3*z**3 - 188*t**2 - 331*t*z**3 + 2*z**3 wrt t?\nAnswer: -4063374*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 569*s + 21 = 576*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -2*l - 244, 296 = 7*p - 2*p + 2*l. Calculate the smallest common multiple of p and 84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/(-1) + (-13 - -16). Let p(t) = -2*t**2 - 8*t. Let d be p(a). Suppose -8*k + 12*k - 16 = d. Solve -k*q + 0 = 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 0.3 (c) 18 (d) 1\/5 (e) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-17)\/2*6468\/(-2499). What is the highest common divisor of u and 11264?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02107 times -0.522\nAnswer: 0.01099854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of g**4\/6 - 6*g. Let u(p) = 7*p. Give u(m(f)).\nAnswer: 14*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2347986?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 5:53 AM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 189, 225, 277, 339, 405, 469?\n\"Answer: -a**3 + 14*a**2 + a + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -449*p = -451*p - 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 180?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-9)\/b)\/b)\/(b**(-6)*b) assuming b is positive.\nAnswer: b**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20497380 is divided by 126527.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144\/19 + 172\/19*r**2 - 14\/19*r**3 + 2\/19*r**5 - 16\/19*r**4 + 312\/19*r = 0 for r.\nAnswer: -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/1584 and -21\/120603824.\nAnswer: 1085434416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1584\/7, 0.3, 472, -3 in descending order.\nAnswer: 472, 1584\/7, 0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Express -11 - 4*q**3 + 0*q**2 - q**2 + 6844*q + 2*q**2 - 6806*q in the form c*q + k + u*q**3 + y*q**2 and give c.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*t + 245 - 70 + 286 = -3015 for t.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -213*o - 147*o + 572*o - 402*o**3 - 212*o.\nAnswer: -402*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a - -4333157?\nAnswer: 4333166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**10*h*h*h**(-14)*h**1*h*h**5*h assuming h is positive.\nAnswer: h**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 640?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - w - 124, -644 = -5*r + 3*w - 32. Calculate the greatest common divisor of r and 5430.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 768 and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f + 3. Let y(p) = -5*p + 6. Let i(r) = -7*s(r) + 3*y(r). Let j be i(-5). Suppose -3*w = -j*w - 251. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(((-12)\/(-10))\/(-2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-10)*((-1400)\/24)\/(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f**2. Suppose -q - 3*q = -4. Let y(p) = -q + 0*p + p + 1. What is s(y(i))?\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/(45\/20) + -10. Let b = 49 - j. Calculate the remainder when b is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -726 = 77*u - 78*u. Let x = u - 42. Does 19 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 148\/52 + 12\/78. Suppose -3*c - 18 = a*z - 2*z, -24 = 4*c - z. Let i(d) = -d**2 - 6*d + 8. Calculate i(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -45, -126, -297, -588, -1029, -1650?\nAnswer: -2481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*s + 104*s = -415 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1093990 rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*h = 167*h - 5459424. Does 58 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f + 21 = 2*f - 2*y, 2*y = 4. Let j(o) = o - 2. What is j(f)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 11:17 AM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 61*v**2 + 5*v - 7. Let g(u) = 31*u**2 + 3*u - 4. Let h(q) = 5*g(q) - 3*n(q). What is h(1)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - (13 + -13 + 6)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + w = -48. Suppose 0 = -11*c + w*c - 55. Suppose c = 3*u - 26. Is u a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1224, -2455, -3690, -4929?\nAnswer: -6172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - k - 46, 3*k = 2*h - 0*h - 40. Let u be ((-3)\/(-1))\/(3*21\/h). Put 4\/7, u, -1\/8, -12\/11 in decreasing order.\nAnswer: u, 4\/7, -1\/8, -12\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 8463*n + 15 = 8458*n, -k - 7 = -3*n for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 85*o**2 - 1087*o - 228. Determine d(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -1\/2, -2\/63, 1\/6, 980, -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and (0 - 2*114)*(8 - 2)\/(-12).\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 264\/(-120)*3\/(-6)*-2 - (-8)\/40?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is 17444622.51ms in weeks?\nAnswer: 0.028843621875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of -s**7\/5040 - s**5\/6 - 8*s**2. Let a(l) be the third derivative of j(l). Let r(d) = -6*d. Calculate a(r(w)).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-250)\/5500*-1*88\/48\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-78)\/(-260)*(25 + -5)\/(-4). What is the nearest to 3 in 1\/2, -77, z?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.5 + 2. Let t = v - -2.4. Let n = 264.9 - 265. What is the nearest to 0.1 in t, 2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45 + 61. Let z = 102 - t. List the prime factors of ((-1056)\/144)\/((z\/3)\/2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -19 (b) -0.1 (c) 5 (d) 69252\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126356056?\nAnswer: 2, 15794507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 736720 and 1780?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -39, -31, -19, -3, 17, 41?\n\"Answer: 2*k**2 + 2*k - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/55*(-90)\/36\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/5 + 31050*i**2 + 31329897*i\/5 + 1581644648\/5.\nAnswer: (i + 101)**2*(i + 155048)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 35\/867159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - 2 - (-22)\/(-36)*-2. Let d(n) be the first derivative of 0*n + v*n**3 + 1\/3*n**2 + 3. Find x, given that d(x) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 a when two letters picked without replacement from {a: 7, e: 7}?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -277, -281, -285, -289?\nAnswer: -293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 6:49 AM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 547174205 to the power of 1\/5, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(4*sqrt(77) + sqrt(77)) - ((sqrt(77) + sqrt(77)*1)*6 + sqrt(77)))\/((sqrt(7) - sqrt(56)\/sqrt(2)) + sqrt(343)*2).\nAnswer: -33*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h = -0*h. Suppose m + 2*m - 15 = h. Is 4 - (m + -406) - -1*2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.84295 to three decimal places.\nAnswer: -0.843","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 + 33.12. Let s = -0.02 + x. What is the nearest to 1\/4 in s, 0, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/(-12))\/((-16)\/6 - -2). Which is the closest to g? (a) 17 (b) 1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 5:46 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 51316438 to the power of 1\/2, to the nearest integer?\nAnswer: 7164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 416, 154, -23, 4, 1 in decreasing order.\nAnswer: 416, 154, 4, 1, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 84583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-588)\/(-24) - 2) + (-10)\/4. Suppose 2*y - 576 - 465 = -k, -v = -4*y. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2000 + -1121?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8 or 155?\nAnswer: 155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 1, -2, -72 in ascending order.\nAnswer: -72, -4, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -5*q**3 - 4*q**2 - 2*q + 11. Let s(a) = 4*a**3 + 4*a**2 + 2*a - 9. Let v(r) = 3*j(r) + 4*s(r). What is v(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7407?\nAnswer: 3, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8 and -0.147403.\nAnswer: -8.147403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1762162 to the nearest integer?\nAnswer: 1327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (462\/(-49))\/((-2)\/14). Let m be (-32)\/l - 4\/(-6). What is the second biggest value in -5, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -259066, -259072, -259076, -259078, -259078, -259076?\nAnswer: -259072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4407754629?\nAnswer: 3, 1469251543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, p: 3}. Give prob of picking 2 p.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 2 (b) -2\/11 (c) 4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4*g = -11, -d - 2*g - 4 = 3. Let s be (-2 - 3)*(-22)\/d. Let r = s - -27. What is the greatest common divisor of 15 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 32356 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvzzvzzuvzvzzzzv. Give prob of picking 1 v and 2 z.\nAnswer: 108\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -8243890?\nAnswer: -1\/4121945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 909\/4 + -895\/28. Let r = 195 - v. Let h = -3.4 - -3. Which is the biggest value? (a) r (b) h (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**5 - 20*y**4 + 50*y**3 + 40*y**2 - 160*y - 128 = 0?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 755404475.\nAnswer: 5, 7, 97, 44501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52665 and 56987041?\nAnswer: 3511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from zhgyzqgzhhhhqqqqq?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 171 - 36. Suppose 5*v - 5*l - d = -0*v, 3*l + 9 = 0. What is the remainder when 46 + 1 + -2 + 1 is divided by v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 954 is divided by 269?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5323193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**3 - x**2 - 4*x - 6. Let l be (-2)\/(((-1)\/2*1)\/1). Let k be 2 - 2\/(l*(-2)\/(-4)). Let j(o) = -o - 1. What is k*n(u) - 6*j(u)?\nAnswer: -2*u**3 - u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-538)\/10)\/(24\/15). Let l = 34 + q. Let f = -35\/8 - -401\/88. Which is the third biggest value? (a) f (b) 2\/7 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/4 + 4075\/10 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -64542, -129011, -193480, -257949, -322418?\n\"Answer: -64469*a - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.4 + 3.4. Let n = 21 + -19.2. Are i and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 1. Let r be 10*2\/(-8)*2. Let o = 7 - 5. Sort o, r, h in decreasing order.\nAnswer: o, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.4 + 3. Let d = -2.6 + q. Let c = -14.1 + 13.1. Sort d, -0.2, c.\nAnswer: d, c, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 9:48 AM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104321359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 110 + -113 - (6 - -1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -435, -411, -371, -315?\n\"Answer: 8*j**2 - 443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2943*z - 2898*z = 900 for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 2*m**2 + 2*m - 2. Let a(u) = u**3 - 3*u**2 - 3*u + 3. Suppose -4*f - 4*t - 12 = 0, 6*f + 5*t = 2*f - 17. Determine f*a(c) + 3*o(c).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4063?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -52569, -52395, -52103, -51693, -51165, -50519, -49755?\n\"Answer: 59*s**2 - 3*s - 52625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-7))\/(136\/(-238)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/130 and -63\/100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 + -30. Is 20*-4*(-10)\/d a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102 (base 7) to base 11.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1 + 2 + (sqrt(243) + 1)**2 - ((3*(sqrt(3) - -1*sqrt(3)))**2 + sqrt(15)\/sqrt(5) + -2)).\nAnswer: 17*sqrt(3) + 143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-705)\/(-60) - (-12)\/(336\/35)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 + 56 - 2*a**2 - 111.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149091 - 1200909 = -3*k. Round k to the nearest ten thousand.\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 180*d**2 + 175*d - 903. Determine q(-179).\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 4*h**2 - 3*h + 3. What is the remainder when q(-4) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/120 and 1\/5362.\nAnswer: 321720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r - 10240 - 4278 - 588 = 0. What is the lowest common multiple of 83 and r?\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*c + 179*c + 89 = -51 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5547 and 166539?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 92330652 * -1.\nAnswer: -92330652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 8 + 2 + 9*d.\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1279 = -3*x + 1974 + 14653. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -s**6\/27 - 4*s**5\/45 + 4*s**3\/27 + s**2\/9 + 688. Factor o(k).\nAnswer: -2*k*(k - 1)*(k + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.5 (b) -9\/16 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 760\/608 + 1\/2\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 195 and 715.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - ((2 - 2) + -3)) + -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2864 - -22881\/8. Find the common denominator of l and -109\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 31\/4, 0.4, -128 in descending order.\nAnswer: 31\/4, 2, 0.4, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 4*v - 13112, 0 = 4*m + 9*v - 13*v - 17520. What are the prime factors of m?\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 56381.53t?\nAnswer: 56381530000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*k - 50. Let n(s) = s**3 - 9*s**2 - s + 10. Let f be n(k). Suppose 5*c - 3*b + 20 = 0, 3*b + 6 - 19 = -2*c. Which is smaller: c or f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12928 is divided by 184.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 129, 285, 503, 783, 1125?\nAnswer: 1529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 - -2)*(-2)\/3. Suppose -6*j + s + 22 = 0. Let h be -2*(-20)\/8*5. Solve -h = j*r + r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 97281212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/3 + 15\/9. Let r be 1 - (13\/6 + -1). Which is the second biggest value? (a) h (b) 0.4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -144 + 376. List the prime factors of p.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 3*b + 5 = 0, -5*b + 11 = -p + 6 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 20 + 9 + -16 - (2 - -35)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**1*h**(-1\/9))\/((h\/(h**(-5\/6)\/h))\/h**30) assuming h is positive.\nAnswer: h**(505\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 6*z**3 + 31*z**2 + 8*z + 6. Calculate c(-6).\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 7:44 PM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 0, -4, -118, 0.07, 0.054?\nAnswer: -118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 963 + -960. Suppose 4*p + o*i + 21 = 264, -3*i + 3 = 0. Which is bigger: 4 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 50821468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 6*k**2 - 5*k + 10. Determine d(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1))**(-50))**(2\/15)\/(((l*l**1*l)\/l)**(-50)\/(l*l**(-2))**27) assuming l is positive.\nAnswer: l**(239\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 8*h**2 - 22*h + 10. Let a be x(-10). What is the third derivative of a*c**3 - 13*c**3 + 115*c**2 + 0*c**3 wrt c?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 86806 - 61131. What are the prime factors of z?\nAnswer: 5, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -737 (base 8) to base 16.\nAnswer: -1df","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*m - 59577 + 192798. What is the thousands digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1238 divided by 63106\nAnswer: 619\/31553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 79385362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -c - 84, -93*c + 316 - 608 = -20*c for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**3 + 10*l**3 + 9*l**3)*(8*l + 0*l + 3*l).\nAnswer: 198*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3 = -0*p. Let b be (-2)\/p - (-70)\/21. Suppose 2*f + b = 8. Is f > 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*q + 2*q. Let x(t) = -12*t + 3. Let z(o) = 13*o - 4. Let h(n) = -3*x(n) - 2*z(n). Calculate h(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -751*y**2 + 17*y. Let o(r) = 2*r**2. Determine q(o(n)).\nAnswer: -3004*n**4 + 34*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -23*x. Let y(c) = -2405102*c**2. Calculate y(f(b)).\nAnswer: -1272298958*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 - -23.9. Sort -3\/2, -4, h in decreasing order.\nAnswer: h, -3\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2 - 22*j + 55. Calculate g(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(-1\/4))**(21\/5)\/((x\/((((x*x*x*x\/x**(1\/4)*x)\/x)\/x*x)\/x))\/(x*(x\/(x*x\/(((x\/(x\/x**(-2)))\/x*x)\/x)))\/x)))**(-12\/13))**(1\/32) assuming x is positive.\nAnswer: x**(-9\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 19 + 7*88\/77. Solve -z + l = 24 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/15)\/(2\/3). Solve -2*c - a = 5 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 676600187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1932b75 (base 12) to base 10\nAnswer: 5292809","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + (6 + 9 + -13 - -14) + -4?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h**3 + h**2 - 184*h - 485. Calculate z(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 1326897.\nAnswer: 1326897","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1075.1812 to the nearest 10.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 25506209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 2 = -5*a, -2*g - 16 = 5*a. Let c(r) = -r**2 - 6*r**3 + 5*r**3 - 2 + r + 4*r**2 - g*r. Suppose m = 2*z + 3*z - 10, z = -5*m + 28. Give c(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 68.58 + -106.41. Let y = -36.2 - c. Round y to one decimal place.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/(-72) + 1\/4 + 796\/(-25074).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 21103 (base 5) to base 16\nAnswer: 57b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 566*k - 34. Let v be t(10). Suppose 2*z + 0*f - v = -2*f, 5*f + 14045 = 5*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**3\/6 + 192409*b**2\/2 - 288613*b\/3 = 0. Calculate b.\nAnswer: 0, 1, 577226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25.07 - 1.13. Let s = -26 - d. What is the third smallest value in -0.4, s, 2.8?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 20 = -5*z + 5*f, 2*z - 11 = -f. Suppose 5*y - 44 = 4*s, s + 0*y = z*y - 11. Let c = -8 - s. Solve 4 = -c*h + 4*h - g, -3*h + 18 = -5*g for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 270*g - 1 + 2.\nAnswer: 270*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.060319752 + -0.06026. What is y rounded to seven dps?\nAnswer: 0.0000598","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 2*d + 1. Let u be c(6). Suppose 0 = -r + 2*s - 10, -r + 5*s = r + u. Let w = r - -4. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 725015.9 litres to millilitres.\nAnswer: 725015900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5826237 at least as big as 5826409?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/3285 and -28\/225.\nAnswer: 16425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v - 18. Let n be u(22). Let l(j) = -10*j + 3*j + n*j. Let z(q) = -24*q. Calculate z(l(k)).\nAnswer: 72*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d + 9. Let r(x) = 2*x - 3*x - 4*x + x + 5*x. Calculate h(r(i)).\nAnswer: -2*i + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 75*i**4 - 32*i - 3 wrt i?\nAnswer: 900*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15683?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 26350 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.6 + -5. Let s = -0.8 - p. Which is the third biggest value? (a) s (b) 1\/4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {h: 10, w: 1, o: 7}?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 5*c**2 + 3 - 6*c**2 - 2 + 2*c**2. Let w(m) = -5*m**2 + m - 6. Let i = -2 - -1. Determine i*w(t) - 6*u(t).\nAnswer: -t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**2 - x**2 + 3*x**2)*(780 + 815 - 1683).\nAnswer: 176*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i + 6. Give v(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/6)\/(8349745\/(-46821))?\nAnswer: -1\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 984.91 - 0.5.\nAnswer: 984.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.31 (b) 1\/4 (c) -13\/18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 182.663 and -132520.\nAnswer: -132337.337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-154)\/(-2))\/(180\/18 - 9). What is the highest common divisor of q and 1441?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 6:33 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -f + 5*r - 19, -f - r + 5 = 0. What is the derivative of 320*m**f - 31 - 320*m**2 - 12*m**4 wrt m?\nAnswer: -48*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (-17 - 72\/54) - 9)\/(-1 + 2)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 times 930.24\nAnswer: -55.8144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 18*p - 23 = 19*p, -a - p - 8 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3633*h**2 + 4763?\nAnswer: -7266*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, -19\/4, 1 in descending order.\nAnswer: 1, -0.08, -19\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 5*t - 5306, -10*v + 11*v = -5*t + 1742. Let b = -1034 + v. Suppose 12*i - b = -i. Does 6 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 49 = s, -4*s + 6*f - 4*f + 166 = 0. What is the fourth biggest value in -3, s, -2, 0.4, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -51074, -51071, -51066, -51059?\n\"Answer: r**2 - 51075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4365 = -6*m + 14283. Let w = m - 430. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 21\/(-7) - (37 + -2). Let k be (-4)\/21 + d\/(-114). Determine c, given that -4\/7*c**3 + 1\/7 - 4\/7*c + k*c**4 + 6\/7*c**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8554116073.\nAnswer: 197, 43421909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 109, 215, 357, 535, 749?\nAnswer: 999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/9)\/((-3)\/9). Suppose -4855 = -3*o + 15527. Suppose 2*n - h*t + 3406 = n, -2*t - o = 2*n. Round n to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 21, -0.224, -2, -0.3 in descending order.\nAnswer: 21, 3, 0, -0.224, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 305155287.\nAnswer: -152577643.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10147224 is divided by 67?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0326933774 rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) 19223 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 2*z + 358. Let d be (-2)\/(-8) + (-490)\/40 + 12. Does 32 divide a(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 0 - 8 - 9*g**2 - 1.\nAnswer: -9*g**2 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.18 and 5.8594?\nAnswer: 1.054692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 4 and 0.68 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 5*z**2 + 4. Let q be i(5). Suppose 3*k + 2*k + q*b = 27, 4*k - 38 = 5*b. Let c be (-6 - -9) + (-1 - k). Put 1, c, 4 in increasing order.\nAnswer: c, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -57438*c**2. Let m(j) = -j**2. What is m(w(y))?\nAnswer: -3299123844*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7910263?\nAnswer: 7910263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 182, 5, 1, 35.3?\nAnswer: 35.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84165 and 175?\nAnswer: 2945775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -4*f + f + 5 - 4 - 2*f**2. Let z(w) = w - 1. Suppose 4 = 3*x + 1. Let n(s) = x*q(s) + z(s). Factor n(j).\nAnswer: -2*j*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 10 + 14 + 45*m.\nAnswer: 45*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 241120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 58116.1 rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2046 times -0.02?\nAnswer: 40.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10704220?\nAnswer: 2, 5, 17, 19, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -80 + 40 + 41. Let p(r) = -r + 2. Suppose 0 = 3*t - 4*l - 2, 0 = -5*t + 4*l + l + 10. Determine t*z(y) - 3*p(y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (260\/3)\/(10\/15). Let d = -126 + h. Solve -x + d*x - 6 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mas when three letters picked without replacement from {m: 1, a: 1, s: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, v: 1, p: 1, z: 2, m: 1, c: 1}. What is prob of sequence pwc?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 60 divided by -12\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.06 or 2.3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 4*l - 2*l + 3, -c - 3*l + 2 = 0. Let s = 15 + -25. Let t = -6 - s. Put t, c, -2 in decreasing order.\nAnswer: t, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 207 - 211. Let j be 129 - ((-64)\/t - 8). Calculate the greatest common factor of j and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = d - 2, 2*d + f + 8 = 15. Let c(l) be the first derivative of l**4\/4 - l**3 + l**2 - 3*l - 3. Determine c(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w + 13. Let i be k(-6). Calculate the remainder when (i\/4)\/((-22)\/(-88)) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 - -14. Let q be 9\/6*(-4)\/3. Let v = y - q. Sort -0.5, 1, v in decreasing order.\nAnswer: 1, -0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-164)\/(-24) - (-2)\/12. Let k be (g\/(-21))\/(1\/(-18)). Solve -k = -7*t + 4*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1327, 91, 1\/26?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + (-17 + 7 - -16). Let c(r) be the third derivative of r**4\/24 - 15*r**2. Determine c(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 75 + 30 = 0. Let a be 2 - (-33)\/(-121) - -7. Do a and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 164 * -27161.\nAnswer: -4454404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 391488 in 55, 5, 0.3?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-69)\/4232*8*4\/((-12)\/(-1))?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56 and 72?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + z + 325 = 0, 260 = 4*y - 52*z + 56*z. Which is greater: 102 or y?\nAnswer: 102","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 0*k + 20. Suppose -3*z + 4 = k. Is (-1)\/z + 273\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -703 - -1156. What are the prime factors of a?\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/6 and -58\/3801679.\nAnswer: 22810074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 22*x**2 + 21*x + 5. Let f = 47 - 26. Let k be q(f). Find the second derivative of -694*b - 3*b**k - 13*b**5 + 718*b wrt b.\nAnswer: -320*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -102, -215, -328, -441, -554?\n\"Answer: -113*z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(4 + (sqrt(539) - (sqrt(539) + ((1 + sqrt(539))*5 - sqrt(539)))) + sqrt(539) - (sqrt(539) - (sqrt(539) - (sqrt(539) + -2))*1)*-4))**2.\nAnswer: -504*sqrt(11) + 2480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 5 (c) 344 (d) 0.2 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 4*y - y + 6 = 0, -y = 2*h + 2. Suppose 0 = -12*d - 275 + 59. Let k be (-21)\/d*(-3)\/(-28). Is h equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1323887, 1323874, 1323863, 1323854, 1323847?\nAnswer: 1323842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/22 (b) -5 (c) 578 (d) 36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(2448))**2 + sqrt(2448))*4.\nAnswer: 240*sqrt(17) + 9808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 892605628 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31852 and 1528?\nAnswer: 12167464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*r**2 + 212714*r - 394992.\nAnswer: -2*(r - 15192)*(7*r - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, -1, 1\/12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.0087, -2, 3\/4, 3, -545?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.15 - 1.85. Let m = o - -1.8. Which is the nearest to -1\/3? (a) -30 (b) m (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*k + 263 = 20*k - 457 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence irl when three letters picked without replacement from abrssslrassssssbisb?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 8 * 4\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4\/2 - 95*w**3\/2 + 138*w**2 + 2*w - 184.\nAnswer: (w - 92)*(w - 2)**2*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 41\/13 + 1\/((-26)\/4). Find the second derivative of -31*q**3 - 23*q**t + 505*q - 514*q wrt q.\nAnswer: -324*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -3*a + 16. What is the lowest common multiple of a and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4\/3 + 4304*l**3 + 18524416*l**2 + 79729086464*l\/3.\nAnswer: l*(l + 4304)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -20. Suppose 0 = -0*o - 2*o. Solve d + 0 - u = o for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1424 - -4064. What are the prime factors of m?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -242424 (base 5) to base 16\nAnswer: -239a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 17, 5, -4, -484, -2, -1 in increasing order.\nAnswer: -484, -4, -2, -1, 5, 17, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 0.4 (c) -4\/3187 (d) -7.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*16\/216)\/((-20)\/(-18)*7).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -8*x + 13*x. Suppose 0 = x*t - 9*t + 54. Is (-34)\/((t\/69)\/(-3)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 - -0.4. Let g be (-2)\/(-3)*27\/6. Let x be -4 + 5 + g*-1. What is the third biggest value in n, x, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -35, -67, -119, -197, -307?\nAnswer: -455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 3*x - 1 - 3, 4*x - 4 = 2*p. Suppose -h - 546 = 2*l + p*l, 3*l - h + 406 = 0. Let y = l + 212. Is y a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cnnnccncncncc. What is prob of sequence ccn?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**2 - 4*y + 1. Let m be 1\/(2 - 1)*3. What is the units digit of h(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*k - 76*k - 76*k + 137*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 109*x**2 - 333*x - 89. What is the tens digit of u(19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 92d + -19e?\nAnswer: 78f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -y**4\/12 + 3*y**2\/2 - 3. Let z(b) be the second derivative of r(b). Let p(t) = 5*t. What is z(p(g))?\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.00253 and 3.6694?\nAnswer: 3.66687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence see when three letters picked without replacement from {s: 1, e: 2, r: 7}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -513, 1512, 3565, 5646, 7755, 9892?\n\"Answer: 14*f**2 + 1983*f - 2510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*a**4 + 23*a**3 + 1191*a**2 wrt a.\nAnswer: -480*a + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4484214 hours in seconds?\nAnswer: 1614.31704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/4970 and -1\/28400?\nAnswer: 198800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 + 19. Calculate the remainder when 246 is divided by c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -5703*j**4 + 1511*j + 2. Let s(b) = -3801*b**4 + 1008*b + 1. Let l(c) = 8*s(c) - 5*z(c). Find the second derivative of l(y) wrt y.\nAnswer: -22716*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/16 of a gram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -u**3\/6 + 2*u**2 + u. Suppose 0*s + 2*a = -s - 6, 0 = 3*s - 2*a + 18. Let v(l) = -l + 3. Calculate s*v(x) + 5*g(x).\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**3\/5 + 158*l**2\/5 - 288*l\/5 - 3744\/5 = 0.\nAnswer: -4, 6, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, 0.2, -0.1, 4\/3, 42?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218 is divided by 105.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -51*p + 1. Let a(d) = -2*d**2 - 21*d - 8. Let n be a(-10). Suppose -n*u - 5*r - 19 = -5, 0 = 2*u - 3*r + 14. Is b(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -90 - -92. Solve n*k - 6*k + 5*j + 10 = 0, 2*k - 16 = -3*j for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 0*f + 4*f = -23, t - 4*f = -13. Let h = -2 + t. Let r = h + 15. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109729 is divided by 8178?\nAnswer: 3415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000 - -22202011202?\nAnswer: 22202010202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 14734*r**3 - 73679*r**2 - 206231*r + 126 = 0. What is r?\nAnswer: -2, 9\/14734, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2. Let c(m) = -46*m**2 + 184*m + 184. Let j(z) = -z - 1. Let n(o) = -c(o) - 184*j(o). What is y(n(f))?\nAnswer: 4232*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/696 and -41\/168.\nAnswer: 4872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7068 and 912.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 2133212?\nAnswer: -2133220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 12:49 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 11:48 AM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.5830094 + 0.2529647. Let l = -2.33 - u. What is l rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -390 (base 14) to base 7.\nAnswer: -2040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 42 + 430 = 4*q, 291 = 3*q + 4*y. What is the remainder when q is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) 32 (b) 4 (c) 1\/5 (d) 88\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -85, -40, 35, 140, 275, 440?\n\"Answer: 15*b**2 - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - -76 - (3 + 30)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282*z - 792*z = 62*z + 697*z - 41877 for z.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -11*p. Suppose v - 7 = -2*s, 2*v + 3*s - 9 = 3. Let z(y) = 2*y. Let h be z(0). Let j(g) = h*g - 2*g + v*g + g. Determine d(j(t)).\nAnswer: -22*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -365, -714, -1063?\n\"Answer: -349*x - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/39 and -121\/1656.\nAnswer: 21528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6419726 is divided by 39.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -6689 divided by -33668\nAnswer: 6689\/33668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 256 from 69050619.\nAnswer: 69050363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 13750, 4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 + -13. Suppose h + 320 = v*y, 3*y + y - 285 = -5*h. Suppose -t + 5*d = -1, -5*t - d = -6*d - y. 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 the highest common divisor of 306 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/4 - 571*k**2\/4 + 14795*k + 30163.\nAnswer: (k - 434)*(k - 139)*(k + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18364553 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -10*x**2. Let p(b) = -4279*b**2 + 2*b. Calculate p(l(y)).\nAnswer: -427900*y**4 - 20*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/2)\/3*59976\/(-5292)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -14. Find the third derivative of 7*i**2 - 2*i**2 + 123*i + z*i**3 - 123*i wrt i.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8 + (-164)\/21)\/(6\/7). Which is the nearest to -5? (a) -1\/6 (b) -4 (c) w (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14601 at most -14505?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5542 and 312960.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 51818 and 43846.\nAnswer: 569998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 386345617 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 880, 782, 660, 508, 320, 90, -188, -520?\nAnswer: -912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -4, 13, -23 in decreasing order.\nAnswer: 13, 12, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = 10*c - 105. Let s = 66 + -52. Calculate the remainder when c is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -4, -5\/32 in descending order.\nAnswer: 8, -5\/32, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/2 (b) 0.1 (c) 1\/6 (d) -1\/4 (e) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1060116, 2120284, 3180452, 4240620, 5300788, 6360956?\n\"Answer: 1060168*b - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/24*100 + -88*18\/1188.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304454 (base 6) in base 5?\nAnswer: 1234440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 107141 to the power of 1\/2, to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of j**2\/2 - j - 8. Let t(c) = -4 - 4 + 4*c + 3 + 2. What is t(a) - 2*u(a)?\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 72177.57 - -50640.15. Let q = v + -122829.4199376. Let x = q + 11.7. What is x rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 19477, 19423, 19333, 19207, 19045, 18847, 18613?\n\"Answer: -18*j**2 + 19495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u + 3*u - u - 3*u + 1 - 1 + (0 + 3 - 1)*(2*u - 1 + 1) + 3*u + 5*u + 0*u.\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/33 and -10\/4713.\nAnswer: 51843","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40083 (base 16) to base 2.\nAnswer: -1000000000010000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0681 * -0.055569.\nAnswer: 0.0037842489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, -60, 23 in descending order.\nAnswer: 47, 23, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 48?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 2*o**2 - 2*o)*(5*o**2 + 0*o**2 + 2*o**2).\nAnswer: -14*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -120 - -123. Suppose -3*s - 3*t = 3 - 0, -2*t - 3 = j*s. What is the closest to s in 0.1, 5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0*h = 2*h - 7, -5*b + 5*h - 10 = 0. Let r be -4 - (-5 + b) - -8. Solve -5*k - 1 = p, -k = -p + r*p + 5 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d**3 + 99*d**3 - 5*d**3)*(3*d - 2 - 3*d - 2*d) in the form t*d**2 + g*d**4 + y*d + k*d**3 + o and give k.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -0.6. Let i(l) = l - 8. Let n be (-50)\/(-14) - (-8)\/(-14). Let k be i(n). Which is the biggest value? (a) j (b) k (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1295*p - 2591*p - 4434*p**2 + 1293*p as q*p + a*p**2 + d and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -4*i + 10, -4*i = -3*f - 4 - 5. Let s(a) = 5*a**2 - 5*a**2 + 9*a**2 + i*a**2. Let b(g) = g**2. Determine b(s(d)).\nAnswer: 144*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2. Let h(p) = -61*p**4 - 2*p**2 + 52. Let y(r) = h(r) - 2*t(r). Find the first derivative of y(j) wrt j.\nAnswer: -244*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/15*5*2. Suppose 4*c = -c + 5. Suppose -c = -w*p + 3*p. Solve -y + 2 = p for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18912 divided by -96.\nAnswer: -197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 255286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.6 - 3.6. Which is the nearest to -0.11? (a) q (b) -0.4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, a: 1, w: 4, h: 1, f: 2}. Give prob of picking 1 f, 2 w, and 1 h.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dso when three letters picked without replacement from sdosdodoodddd.\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1111821429?\nAnswer: 3, 59, 6281477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/10 of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -830*i - 26327. Calculate y(-33).\nAnswer: 1063","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 106 + -110. Let c = 4 + n. Let s = 2 + -2.04. What is the nearest to 0.1 in -3, s, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 96218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1221*f*x**3 - 23*f*x**2 - 7*f - x**3 + 14*x**2 - 287438*x wrt x?\nAnswer: 7326*f*x - 46*f - 6*x + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 10*z + 14. Let o be p(-10). What are the prime factors of o\/(0 - (-6)\/9)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 558072 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 9*u**2 + 9*u + 10. Let v be w(-8). Let j be 2\/(0 - v\/(-33)). What is the greatest common factor of 11 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 18*c**2 - 26*c + 13. What are the prime factors of q(-19)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54 and 66.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*z + 3*z - 2*z)*(-1 + 5 - 3)*(z - 2*z - z) - z**2 + 2*z**2 + 0*z**2 as v*z**2 + a*z + y and give v.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 235745 divided by -5\nAnswer: -47149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5843243 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7565*i + 15617 wrt i?\nAnswer: 7565","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1044612 divided by -58034\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.23 and -5318.57.\nAnswer: -5318.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -32644 and -0.113388.\nAnswer: -32644.113388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-3))\/(1\/(-723)). Let n be (-2)\/(-4) + (-2211)\/6. Let j = o - n. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158329766.\nAnswer: 2, 7, 1049, 10781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d9312 (base 15) to base 14.\nAnswer: -13d240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14337 + 14361. Calculate the smallest common multiple of l and 315.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 10*v**2 + v - 9. Suppose -46*k + 494 = -1622. Suppose 0 = -k*z - 1 + 461. Determine x(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 + 31. Let t = o - 12. Which is the closest to t? (a) 0.5 (b) 2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67147 = -13*z - 25763 + 85574. What are the prime factors of z?\nAnswer: 2, 19, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-11015)\/(-45) + 6 + 4\/18. Which is greater: -2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28\/13 + 179\/65. Put r, -0.5, 3 in ascending order.\nAnswer: -0.5, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 79 + -6. Suppose n = -4*u - 71. Is -37 at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xtlxxlxy. Give prob of sequence xtxl.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 227, 126, -147, -682, -1569, -2898, -4759?\n\"Answer: -15*s**3 + 4*s**2 - 8*s + 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16.9 - -16.84. What is q rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9869 - -581?\nAnswer: -9288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -7\/1436578?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -0.4, 0.2, -4, 1\/9129?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 369413?\nAnswer: 11, 43, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -9. Suppose -2*f + 22 = x, m*f - x = 2*x + 14. What is the highest common factor of 70 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69847 divided by 5.\nAnswer: -69847\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.661 + -0.961. Which is the closest to -1\/3? (a) -1 (b) 7 (c) 2\/11 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = -6*m + 52. Calculate the remainder when m is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -13?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -7*g**6\/135 - g**5\/18 + 5*g**4\/9 + 20*g**3\/27 - 8*g**2\/9 + 25*g. What is r in t(r) = 0?\nAnswer: -2, -1, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 11:12 PM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 54*o - 155. Let k(s) = -8*s + 2. Calculate the remainder when k(-3) is divided by p(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/4130 and 11\/490.\nAnswer: 28910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 3:37 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6a69 - 356b?\nAnswer: 34fe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 101 + 69. Let j(o) = -4*o - 139 + 0*o + c + 2*o. Let a be j(14). Solve 5*w - 15 = -3*h - 5, -2*w + a*h - 17 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92199?\nAnswer: 3, 73, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - 0 - -6 - 3. Let c(g) be the second derivative of g + 0*g**5 + o - g**2 + 1\/15*g**6 + 0*g**4 + 0*g**3. What is the first derivative of c(l) wrt l?\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -49 + 101. What is the remainder when d is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 315589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1263 - -1823. Is h a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-357)\/1530)\/(-2 - (-6)\/(-18)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -366 - -366. Is -1\/759 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2*(sqrt(363) - -5*(1 + sqrt(363) - sqrt(363)) - sqrt(363))*-5 + -1)**2.\nAnswer: 13005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -84 + 86. Factor 3*q + 24*q**2 - 6*q**s - 18 - 15*q**2.\nAnswer: 3*(q - 2)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/3*-2 + 8\/12. Suppose 2*i + 3 = -g*p - p, -4*p + 1 = -5*i. Let f = -16 - -26. What is the biggest value in -0.4, f, i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5956549 to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5758 + -0.2242. What is the biggest value in z, -10, 0.07, -1?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2*a**3 + 372296*a**2 + 87749990*a - 88122288 = 0.\nAnswer: -185912, -237, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/(-4)*4)\/(-1))\/(-16).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y, 4*m + 7*y - 148 = 2*y. Calculate the remainder when m is divided by -1 + (-3)\/(3\/(-14)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 5*u)*(-50*u**2 + 31*u**2 + 154*u**2).\nAnswer: 675*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 - 13. Suppose -51 + t = 5*z. Sort z, 2\/7, -4, 0.5 in increasing order.\nAnswer: z, -4, 2\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1157 - -2326. What are the prime factors of q?\nAnswer: 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138547679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 760977?\nAnswer: 3, 7, 47, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5252443?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -4*s**3 + 132*s**2 - 7*s - 5. Calculate x(33).\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -408*d + 4948. Give o(13).\nAnswer: -356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of 3*i**5\/10 + i**4\/6 + 2*i**3\/3 - 5*i**2 + 9*i. What is the tens digit of k(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5\/10)\/(3\/84). Let r be i + (-2 - (2 + -2))\/2. What is the first derivative of r*n**4 - 23 + 17*n**4 + 2*n - 2*n wrt n?\nAnswer: 120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1972 divide 34741424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.5, -1 in ascending order.\nAnswer: -5, -1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 341718159?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 250356 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1874, -7094, -15756, -27830, -43286, -62094, -84224, -109646?\n\"Answer: 5*b**3 - 1751*b**2 - 2*b - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -10*v - 6. Let s(w) = -12*w - 7. Let l(f) = 7*a(f) - 6*s(f). Let b(r) = -1653*r. Determine l(b(k)).\nAnswer: -3306*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -147*l**2 + 148*l**2 + 2 + l**4 + 2 as f*l**4 + i*l + k*l**3 + a*l**2 + c and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/7))**(-28))**22 assuming u is positive.\nAnswer: u**176","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 354, 4 in decreasing order.\nAnswer: 354, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-74)\/(-3))\/((-2)\/3). Let i = l + 111. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 526*n**3 - 2 - 619*n**3.\nAnswer: -93*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*m - 5. Let j(t) = 2*t**2 + 2*t + 1. Let i be j(-2). Suppose -p + i*b + 16 = 2*p, 5*p = -m*b. What is the remainder when 4 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 140 + -137. Sort -2, -74, u, 5 in ascending order.\nAnswer: -74, -2, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2 + 168\/(-36))\/(-4))\/((-7)\/(-6))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13176 or 13173?\nAnswer: 13173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - 14. Suppose 5*j - 2*t - 35 = 3*t, 5*t = j - 19. Let k(u) = -u**2 + 4*u - 3 + 2*u**3 - j*u**2 - u**3. What is k(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 10100011?\nAnswer: -10101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w + 2*w - 2*w - 8 - 7.\nAnswer: -4*w - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -588 = -2*x + 384. Let r = x - 447. Solve -f + 38 = r for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -83, -4, -0.3, -0.2, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6044381 + 1?\nAnswer: 6044382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2025335391?\nAnswer: 3, 675111797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 4 = 2*m, -m + 0 = -2. Solve -2*q + 7*q - 20 = b for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203409897.\nAnswer: 3, 41, 1653739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + 33 + 10 + -88 - -12?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-392)\/240 - 15\/(-50) - 32\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 853*p - 844*p + 45 = 0, -2*f = p + 5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k + 9. Calculate the remainder when a(-15) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/1*(36\/8 - 4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - ((2 - 10) + (11 - 8) + -4)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 15597289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - -791) + (-95)\/(-19). Suppose -5*u + z + i = 0, -u + 166 = -2*z - 0*z. Calculate the remainder when u is divided by 33.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((354\/(-45))\/((-242)\/(-132)))\/(2\/(-5)). Sort n, -4, 11 in decreasing order.\nAnswer: 11, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -4*m + 8. Let a be h(-7). Let z be ((-2)\/4)\/((-3)\/a). Suppose z*d + 7394 = 4*d - 3*p, p - 7402 = 2*d. Round d to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - 37*m + 31. List the prime factors of u(-33).\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 4:34 AM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -138*t**5 + 2*t**2 + 91 wrt t.\nAnswer: -8280*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 7*u**2 - 790*u - 11026. Give k(-13).\nAnswer: 427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u**2 + 26*u + 8. What is m(9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -287 + 477. Let l(u) = -190 + 2*u + y. Let n(c) = 3*c + 7*c - 8*c + 3*c. Determine l(n(p)).\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 18, -2, -2, 24?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.44 - -0.08618.\nAnswer: -0.35382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/11305 and 32\/70091.\nAnswer: 350455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 + 1906 = 4*w. Is w a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - 3. Let r = 376 - 374. Calculate the highest common factor of r and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -2699*c**5\/60 - 1385*c**3\/6 - 347*c**2. What is the first derivative of t(r) wrt r?\nAnswer: -5398*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*-17\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -192, -332, -468, -600, -728?\nAnswer: -852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -13*v + 17*v - 4572, 0 = 3*v - 2*f - 3404. What is the remainder when v is divided by 36?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 5 + 5. Let q(n) = n**2 + 9*n + 22. What is the remainder when q(p) is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 81611992 to the nearest integer?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 292211 plus -374709165?\nAnswer: -374416954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 89 + -86. Suppose 0 = -g + y + 6, -4*y - r = 4*g - 59. Suppose g*c - 20 = -0*c. Solve -c*q = -4*a + 15 + 3, 0 = -4*q + a - 8 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 150977278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*h - 287885 = -4*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 3*w - 35. Let x be f(10). Let p = x - 33. Suppose 2*a - 12 = -5*r - 0*r, 5*a - 30 = -2*r. Solve -p*t + 20 = -a*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -16. Let l = -4 + h. Let c be (-36)\/(-15) - (-2)\/(-5). Put l, 3, c in decreasing order.\nAnswer: 3, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = j + 63. Let u be 345\/(-7) - (-6)\/j. Let k = 75 + u. What is the remainder when k is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (192 + 4*z - 192)*(-3*z**4 + 0*z**4 + 2*z**4).\nAnswer: -4*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2350380*d*i + 3418184*d + 2*i wrt i.\nAnswer: -2350380*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d\/(d**8*d*d)*d*d*d*d*d**(-2\/11)*d**13\/d*d*(d\/d**(-10)*d*d)\/d assuming d is positive.\nAnswer: d**(229\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 497 and 4240.\nAnswer: 2107280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ini when three letters picked without replacement from {n: 12, i: 6}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of w**5\/20 + w**4\/6 - w**3\/2 + w**2\/2 - 2*w. Let a be c(3). Is a\/3 + 2\/(-6) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 6771?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.144, 5\/317, 0.1 in decreasing order.\nAnswer: 0.1, 5\/317, -0.144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*f = -1, -f + 2 = -2. Does 3 divide (-2 - 4)*12\/r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-5)*30\/12. Let b(c) = c - a + 24*c**2 - 31*c**2 + 9*c**2 - c**3. What is b(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a milligram in micrograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-60) - 7\/(-20))*10\/6.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8401888 rounded to the nearest 10000?\nAnswer: -8400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 0*p + 5*p - 9, 2*h - p + 3 = 0. Let v(c) = -7*c - 7. Let z be v(h). Solve 0 = -3*l + 4*f - 17, -3*l + 4*f - 5*f - 7 = z for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 5*m + 27 = 0, 280*m - 145*m - 140*m = -2*n - 31 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -12 + 15 + -1*-1*13. Suppose 5*y - 18 = -2*z - 0*z, 2*z = 5*y - 2. Calculate the highest common divisor of f and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -113\/129 + 95\/43. Factor 4\/3*k**2 - w + 20\/3*k**3 - 20\/3*k.\nAnswer: 4*(k - 1)*(k + 1)*(5*k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + v - 17 = 0, 62 = -2*w + v + 57 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 11110010000011010 (base 2) to base 8\nAnswer: 362032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 36*d + 77. Give u(38).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -5*k + 3*x - 9, 0 = 2*x - 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5)\/(-60))\/(2\/6). Does y = -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1122220122112 (base 3) to base 12\nAnswer: 367705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122986925.\nAnswer: 5, 17, 289381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 2*f**3 + 4*f**3 + 1 - 12*f**3. Let q be t(1). Does 4 divide (-70)\/(-6) - 2\/q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2451, -4, -5, 0, -8, 49 in descending order.\nAnswer: 2451, 49, 0, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (-2 - (-4)\/6). Let w = 0.41 - 0.46. Let i = -0.15 + w. Put o, -2, i in descending order.\nAnswer: i, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 times 54\nAnswer: 64.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 2530 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3*k**3 + 60*k**2 - 39*k - 42. Let s(z) = z**3 + 17*z**2 - 11*z - 12. Let r(y) = -5*q(y) + 18*s(y). Factor r(d).\nAnswer: 3*(d - 1)*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 k when four letters picked without replacement from kkkkffkkkkkkk.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 450*a - 456*a + 16 + 12.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 + 12*x - 35*x**3 - 71*x**3 + 17 - 5*x**3 in the form j*x**2 + g*x + r*x**3 + b and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (14\/30)\/(81\/(-135))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -70*n + 5. Let v(t) = 69*t - 7. Calculate -3*p(m) - 2*v(m).\nAnswer: 72*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**10)**(1\/20))**9)**(10\/3) assuming a is positive.\nAnswer: a**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 20 = 3*z. Let j be (-2)\/6*9\/z. Factor -j - 1\/2*y - 1\/4*y**2.\nAnswer: -(y + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of 0*a**3 + 0 - 1\/24*a**4 + 0*a + 15*a**2. Let l(g) = -31*g**2. What is l(v(u))?\nAnswer: -31*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (98\/10 - 10)\/(-1 + 28\/40). What is the third biggest value in 0.5, -1178, v?\nAnswer: -1178","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (168\/10)\/((-6)\/(-20)). Calculate the greatest common divisor of 7 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*c**2*n**2 - 30*c**2 + 1366*c*n**2 - 3*c*n - 13 wrt n?\nAnswer: 6*c**2 + 2732*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4729, -180, -66.\nAnswer: -180, -66, 4729","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 465 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/37)\/(y\/(y\/(y*y**(-5\/3)\/y*y)*y)) assuming y is positive.\nAnswer: y**(179\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2452 - 1618. Suppose 5*w + r = -w. Let k = -87 - w. List the prime factors of k.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-120)\/(-50))\/(-2*(-6)\/(-30))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-96)\/(-224) + 22\/14\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 20 = -2. Suppose -4*b - 30 = -j*b. Is b a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47.54*-11\nAnswer: -522.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/(-24) - 254\/4. Let t = 68 + k. Suppose 4*o = 0, n - t*o = -n + 4. Solve -3*q + s = -7, n*q - 3*s - 9 = -3*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 658*j - 66475. Calculate t(-89).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n - 3. Let i be g(-2). Suppose -i*s = -5*c - 28, 7*s - c = 3*s + 9. Suppose -s = 4*k + 3. Is -2 less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 135648 = 145*u. What is the greatest common divisor of u and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**4\/9 - 10*u**3\/9 - 52474*u**2\/9 + 52486*u\/3 = 0. What is u?\nAnswer: -161, 0, 3, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -39 + 6?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8320, 5, 0, 4, 6, -29 in decreasing order.\nAnswer: 6, 5, 4, 0, -29, -8320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 0.8941233\nAnswer: -0.35764932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(143)*-1)\/sqrt(11) + (sqrt(13) - (sqrt(1300) + -5))*5)**2.\nAnswer: -2150*sqrt(13) + 24662","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/210 and 11\/165690.\nAnswer: 165690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3*q + 61, 2*q + 76 = 6*q - 4*u. Let g = q + 35. Does 7 divide (3\/(-2))\/((-6)\/g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-432 - 1302 - 2143)*(-w + w - 2*w)*(-6 + 3 + 1) in the form t + q*w and give q.\nAnswer: -15508","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28701453.\nAnswer: 3, 11, 263, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -34*b + 3. Let y be 99\/(-15) + 6\/10. Let r be o(y). Let m = r + -133. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*1 + 12 + -7. Let s be (y - -1)*1\/1. What is the highest common divisor of 40 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2*1 - 1)\/(-1). Suppose b = v, -k + 3*b = 4*k - 16. Calculate the remainder when -7 - -7 - 14*-1 is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ldffo. Give prob of sequence lod.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) 8659 (b) 1\/5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*s - 1 = 41. Suppose -5*o + 78 = s*a, 31*a = -3*o + 28*a + 45. Calculate the remainder when 42 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 565267904*c**6*j**2 - 3*c**2*j**2 + 3*c**2*j + 23*c**2 + 5*c*j - 4*c + 100*j**2 wrt c.\nAnswer: 67832148480*c**3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(-1)*-1*(-2)\/5. Let t = -13 - -18. Suppose -t*g + j*g = -6. Solve -h = -g*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5380 = 8*b - 23988. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*r - 1666 - 83 = 0. What is the highest common factor of 253 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of i*l - 64429*i + 63374250*l**3 + 832 wrt l.\nAnswer: i + 190122750*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (28\/(-4))\/(-4*4\/(-16))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u - 2. Let w be d(-2). Suppose -3*f + 934677 - 274677 = w. Round f to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 1:18 AM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 88 + 154. Let q = z - 2664\/11. Which is the third biggest value? (a) q (b) -0.3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*r = -3*r - 4, -2*r = 6. Let j be (-1)\/3 - (-2275)\/(-68484)*f. Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11828911 and 249.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(60\/((-420)\/(-28))))\/(2\/(-11)).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47 - -259. Find the second derivative of -2*y + 8 + 11 - 85 - u*y**3 wrt y.\nAnswer: -1272*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.11 - -0.07. Let g = 535\/161 + -83\/23. Which is the second biggest value? (a) w (b) g (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 5, 3, -39, -2.09, -5, -4 in decreasing order.\nAnswer: 5, 3, -0.3, -2.09, -4, -5, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 4122613\nAnswer: -2061306.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**4 + 42*r**3 - 108*r**2 = 0 for r.\nAnswer: 0, 3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of 0*o + 0*o**3 + o**2 + 20 - 1\/90*o**5 + 2\/3*o**4. Factor n(l).\nAnswer: -2*l*(l - 24)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**15\/q)\/(q*q**(-1\/31))*(q*q**(7\/2))\/(q**(-9\/8)\/q) assuming q is positive.\nAnswer: q**(4875\/248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/3)\/((-5)\/15). What is the third derivative of -n**6 + 56*n**3 + 4*n**2 + 1 - 759*n**d + 759*n**4 wrt n?\nAnswer: -120*n**3 + 336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12967843?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 45 = 5*z, -4*z - 2*o = -z + 2. Let a(w) = w + 1. Let n be a(z). Let c be 2\/4*(-6)\/n. Solve -4 - c = 5*b + 4*s, 1 = -b - 5*s for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/2385 and -38\/135.\nAnswer: 7155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 348 = -2*d + 4*d, -4*k = 5*d - 906. What are the prime factors of d?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a + 21. Let x be o(9). Let n(g) = -g**2 - 6*g - 3. Let c = -2 - 3. Let z be n(c). Solve -3 = x*m - z*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -247117, -247114, -247111, -247108, -247105?\n\"Answer: 3*p - 247120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3088 - -3088.5434. Round w to one 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 5546 and 1534.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 46.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 884 is divided by 440.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, 12140669, 1\/2, 4\/21 in ascending order.\nAnswer: 4\/21, 1\/2, 4\/3, 12140669","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 1\/12*y**4 + 0*y**2 + 9*y + 1\/6*y**3 - 1. Let w(u) be the first derivative of g(u). Factor w(x).\nAnswer: x*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/21*(-112)\/144*-6?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/6 and 119\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.04 in -0.1, -5, 1\/6, 0.49?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15899088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of v**4 - 33*v**3 - 2*v**2 - 2699*v wrt v?\nAnswer: 12*v**2 - 198*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38 + -22. What are the prime factors of j - ((-1 - -1) + -2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21234100 (base 6) to base 2.\nAnswer: 10011001000010110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1145*p**2 - 435*p**2 + 28*p**2.\nAnswer: -1552*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1133033331 - 11?\nAnswer: -1133100002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 1 = -15. Let d(v) = -v + 6. Let b be d(r). Suppose -b*f + 7*f - 125 = 0. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 1685\/26 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -3\/5, -9, 2\/9, 35?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 308 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 2 = -3*a, 1 = -3*a - 17*l + 13*l for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 31385.4 * -0.2\nAnswer: -6277.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001685 rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.02 and 0.09854793.\nAnswer: 0.11854793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-63)\/(-28) + 5 + 2\/(-8). Suppose -160 - 2836 = -g*z. List the prime factors of z.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*p - p + c, 5*p - 13 = -4*c. Suppose -p*l = -0 - 10. Let w(n) be the second derivative of -n**4\/12 + n**3\/6 + n**2 - n. Determine w(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.5 - 7. Let f(q) = -q**2 - 8*q + 10. Let r be f(-9). What is the nearest to r in z, -0.5, -0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 29328*t. Let l(g) = 19*g - 5. Give l(n(h)).\nAnswer: 557232*h - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 0)*(42\/(-12) + 5). Let o be 12\/6*(-1 + 2) - d. Sort -5, -10, o in ascending order.\nAnswer: -10, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - r + 1. Let i be y(-2). Let d = -4.62 + -0.38. Put 0.5, d, i in descending order.\nAnswer: i, 0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34321, 68637, 102953, 137269, 171585?\nAnswer: 205901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -8 - (100 - 107)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2 + j + 2. Let f(d) = 4*d**2 + 53*d - 1370. Let k(n) = -3*a(n) - f(n). What is the derivative of k(c) wrt c?\nAnswer: -20*c - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 - 30. Solve -3*s - 3 = 3*u, -4*s - 3*u - 2 - 1 = i for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -80*q**3 - q**2 + 79*q - 1 wrt q.\nAnswer: -480*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/15 - 202\/(-5). Calculate the common denominator of ((-4)\/b)\/((-6)\/(1386\/15)) and 58\/5.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22463 (base 8) to base 6\nAnswer: 112031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hww when three letters picked without replacement from {h: 5, s: 2, w: 2}?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*f*l**3 - 8*f*l**2 - 7*f*l + f + 85*l**4 + 4 wrt l.\nAnswer: -36*f + 2040*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 941 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44365?\nAnswer: 5, 19, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -964 (base 14) in base 2?\nAnswer: -11100111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.71 - -37.29. Let t = 179 - s. Let i = t - 141.604. Round i to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t**3 + 6*t**3 + 10*t**3 + 37*t**3 - 18*t**3.\nAnswer: 29*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.49*3.\nAnswer: -7.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7941845 by 1.\nAnswer: -7941845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of d**7\/840 + 5*d**6\/32 + 81*d**5\/10 + 198*d**4 + 1728*d**3 - 8*d**2 - 11*d. Factor p(b).\nAnswer: (b + 3)*(b + 24)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 13*f + 2558. List the prime factors of r(-4).\nAnswer: 2, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(304)*-6 + 2.\nAnswer: -24*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = -5*y - 40, j - 3*y + 50 = 74. Let s(l) be the second derivative of -27*l + 0 + j*l**2 + 11\/3*l**3. Let g(m) = -m**2. Determine g(s(r)).\nAnswer: -484*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -4*a + 4. Let r(x) = -3*x - 1. Let v be r(1). Is 20 a factor of i(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 6 - 1 + 4 - 5 + 2 + (-1 + 0 + 2)*(1 - 1 - 2))*(o + 3*o - 8*o) to p*o + n and give p.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + -5)*(-5*108\/(-45) - 8).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 v when three letters picked without replacement from {a: 2, l: 1, v: 4, t: 1}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a59 - -4?\nAnswer: a60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 155484*l**3 - l**2 + 3*l - 2208579 wrt l.\nAnswer: 466452*l**2 - 2*l + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**3 - 3*i**2 + i. Let y(f) = -12*f**3 + 14*f**2 - 576*f. Let z(h) = 2*q(h) + y(h). What is the second derivative of z(n) wrt n?\nAnswer: -48*n + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/12)\/(475\/570).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -79\/3 - -26. Let i = -0.49 - -0.16. Let n = -2.33 - i. Which is the closest to q? (a) n (b) -1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -736 and -0.1.\nAnswer: 73.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 3:54 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 2*p**2 + 4*p**2. Let f(z) = 10*z + 11. Let y(n) = 2*n + 2. Let r(q) = -2*f(q) + 11*y(q). Calculate t(r(i)).\nAnswer: 20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12\/115 + 7729\/230. Find the common denominator of 194\/8*2\/(-4) and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21160 divided by -4232?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 2 = 3*a, -5*a - 2*x + 0 = 18 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 117094 to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 1526 + 2*a + 835 - 498 + 2124 as c*a + k and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qzmb when four letters picked without replacement from {p: 2, q: 1, b: 2, y: 3, z: 6, m: 1}?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*1*sqrt(147) + -6*(sqrt(18)\/(sqrt(12)\/sqrt(2)) - sqrt(3)).\nAnswer: 28*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - 18. Let h(j) = -2*j**3 + 2*j**2 + 2*j. Let n be h(d). Suppose t = -5*z + 4, t + n = 3*t + 4*z. Calculate the lowest common multiple of t and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - -1 - (-139570)\/65. Let y = c + -2150. Let q = 7\/26 + y. What is the second smallest value in 1, q, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(((i**(-3\/23)*i)\/i)\/i)*i**(-12))\/((i\/(i*i\/(i**13*i*i)))\/(i**(15\/4)*i*i)) assuming i is positive.\nAnswer: i**(-1667\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2770937 - 1539937. What is s rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -182063 divided by 1?\nAnswer: -182063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 76114 + 12427. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.65 times 0.05?\nAnswer: 0.6325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132643*p - 5018*p + 203690*p - 3455*p.\nAnswer: 327860*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 2:13 AM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2*f - 3)*(0*f + 0*f + f) - 2*f**2 + 4*f**2 - 3*f**2 - f**2 - 3 + 3*f**2 + 4 to j*f**2 + y*f + z and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6585*b**4 + 240*b + 3?\nAnswer: -79020*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*a**2 + 2 - 5*a**2 - 4*a**2)*(15*a**2 + 15*a**2 - 36*a**2).\nAnswer: 12*a**4 - 12*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11431265?\nAnswer: 5, 1459, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 9:09 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10020 (base 3) to base 16.\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of 1\/27*q**6 + 4\/45*q**5 + 3 + 0*q**4 + 0*q - 4\/27*q**3 - 1\/9*q**2. Factor m(j).\nAnswer: 2*j*(j - 1)*(j + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 71\/4 + -18. Let i = -26.5 - -25. Let j = i - -1.6. What is the closest to -0.1 in j, o, 0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11758839269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**2 + 47*f + 25. Let j be q(-23). Find the third derivative of -l**j + 17865*l - 17865*l + 60*l**3 wrt l.\nAnswer: 360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z = 20*z. Solve 3*s - 4*j = z, 3*s - 2*j = j - 3 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 266*m. Let v(s) = -58*s - 46*s + 92*s. Determine l(v(o)).\nAnswer: -3192*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 720.18, -16, 0.4.\nAnswer: -16, -4, 0.4, 720.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**5 - 2*v**5 - 2*v**5 + (-v**5 - 2*v**5 + v**5)*(1 + 0 + 0).\nAnswer: -3*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 457275671 is divided by 3474?\nAnswer: 3473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 122 - -103?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -213672.517 - -213434. Let l = t + 239. Round l to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -508 - 464*k + 508 - 5*k + 3*k + 5*k + (-1 - 1 + 1)*(-4*k + 5*k - 2*k) + 0*k + 0*k + 5*k.\nAnswer: -455*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185 + 232*w - 60 - 59 - 66.\nAnswer: 232*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -5. Suppose i = 4*m - p - 0, i - 2 = m. Suppose i*r - 278 = -0*u - 5*u, 2 = 2*r. What is the greatest common divisor of 11 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of 71*b**4\/4 - 9*b - 70. What is the derivative of i(m) wrt m?\nAnswer: 213*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 12:25 AM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8 (b) 3\/4 (c) -4 (d) 2\/7263\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 less than 17819809271415?\nAnswer: 17819809271493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - -5 - (0 - 1 - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34.92 - 34. Round f to one decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 406, 1176, 1958, 2752, 3558, 4376?\n\"Answer: 6*d**2 + 752*d - 352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3 - 8*m - 3 + 14 + 3*m**2 - 6*m**2. Let o(z) be the second derivative of -z**4\/6 - 5*z**3\/6 + 9*z**2\/2 - 123*z. Determine -5*a(h) + 8*o(h).\nAnswer: -h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-110)\/(-275))\/(34\/(-10)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 1:06 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 1060\nAnswer: -318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 20689652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5)\/4)\/(36\/(-3600)). Let d be (-5)\/(x\/(-60))*-5. Let a = 102 - d. List the prime factors of a.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 506*s - 1004*s + 860*s.\nAnswer: 362*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -91*k**2 + 2149*k - 23. Let r(p) = -23*p**2 + 537*p - 6. Let i(y) = 6*q(y) - 23*r(y). What is the second derivative of i(b) wrt b?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3909, 7817, 11721, 15621, 19517?\n\"Answer: -2*b**2 + 3914*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 274 and 73470497?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 11:18 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -33426 in increasing order.\nAnswer: -33426, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 111444 + 11?\nAnswer: 112010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.67 * 0.092599.\nAnswer: 0.52503633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-2))\/((-595)\/714)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/6432 and -151\/2412?\nAnswer: 19296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2375 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 + 23642632*p + 23642636.\nAnswer: -4*(p - 5910659)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -3\/23, -135\/4, -0.09, 0.1, 0.5, 97?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*i - 29*i + 6*i + 14*i - 149 as f*i + g and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 8*f**2 + 12*f - 4. Let d be m(6). What is the tens digit of -4*(d - ((-128)\/(-4) + -4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9879 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (2\/12)\/((154\/(-21))\/(-11))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1478*h**2*u**2 - 1057*h**2*u*x - 4*h**2*x + 63803*h*u**2*x**2 + 2*h*u*x + 10*h*x**2 + h*x + 57*h - 3*x**2 wrt u.\nAnswer: 2956*h**2 + 127606*h*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 y when two letters picked without replacement from {y: 2, t: 5, u: 2, d: 4}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -10 - ((-42)\/12 + -6). Let s = 0.055 + -0.055. What is the nearest to q in -1\/3, s, 1\/4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22311424 + 320?\nAnswer: 22312244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 20 + -6 + -2 + -9\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 3, -n - 2*f = 2 + 7. Let a(d) = -8*d + 3. What is the remainder when a(n) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.75 + 2.05. Which is the third biggest value? (a) x (b) 1\/6 (c) 7 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzxk when four letters picked without replacement from {z: 2, x: 2, v: 1, k: 8, o: 1}?\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1452885 is divided by 461?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (-3)\/(-6) + (-99)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**3\/3 - 3046*l**2\/3 + 1126633*l\/3 + 376560 = 0. What is l?\nAnswer: -1, 432, 2615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 + 1 + (-44 - -37).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 192509?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3 + 22893*k**2 - 43685565*k + 43662675.\nAnswer: -3*(k - 3815)**2*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80530, 161053, 241572, 322087, 402598, 483105, 563608?\nAnswer: 644107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 347274 and 436?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 320977 a multiple of 585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 7545212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b - 1. Let l be r(7). Suppose 2*t - 3*h - 18 = h, -2*h = l. Solve -t*z = -2 + 11 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*t - 2*o, 7*o - 35 = -4*t + 4*o. Suppose -t*z - 2*i + 16 = 0, -i = 2*z - 1 - 5. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of -h**6\/120 - 7*h**5\/60 + 5*h**4\/12 + 2*h**3 - 137*h**2 - 2. Determine m(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 - 3*b + 7 + (-4*b + 4*b + 2*b)*(0 + 2 - 3))*(1 - 1 + 1)*(-4 + 4 - 2*b) to the form o*b + y*b**2 + s and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-570)\/(-513)*4\/10)\/(-2).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -30230.34 rounded to the nearest 100?\nAnswer: -30200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.47 - -0.27. Let w = -3 - i. Let l = -0.8 - w. Which is the nearest to 2? (a) -0.2 (b) l (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0 + 4*l**2 - 4*l**2 - 3*l**3 - 36*l - 2 + 4*l**3 wrt l?\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 197835 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2151 times 0.427129\nAnswer: -918.754479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37*q**2 + 2*q + 112 wrt q.\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 5355?\nAnswer: -5359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1061, -2162, -3263?\n\"Answer: -1101*v + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3865435?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5771952703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 4*o**2 - 34*o + 30. Let r be d(1). Are 27\/133 and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -737 + -1?\nAnswer: -738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d48 + 4?\nAnswer: -d44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 169 + -168.8. Suppose 2*j + 4 = 5*a - 1, -2*j = a + 11. Put -3, -0.1, b, j in increasing order.\nAnswer: j, -3, -0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 - 9*t**2 + 13*t**2)*(-t**2 + 4*t**2 + 0*t**2 + (2*t - 4 + 4)*(-3 - 2*t + 3)).\nAnswer: -7*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/72960 and 167\/11100?\nAnswer: 13497600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - 5*a + 6. Let n be l(-6). Suppose -3*i + 0*i + 6 = n. Suppose 0 = -2*o + 32 + i. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 7*b**2 - 62*b. List the prime factors of h(12).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*f**4*o**3 + 8343*f**2*o**3 - f + 12583*o**3 wrt f?\nAnswer: 8*f**3*o**3 + 16686*f*o**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*s = 13*s - 12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*w**3 - 8*w**3 + 3*w - 11*w + (-3 - 2*w + 3)*(-3*w**2 + 5*w**2 + 0*w**2).\nAnswer: -2*w**3 - 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 41408*c*j**3 - 435*c - 82 wrt j?\nAnswer: 124224*c*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -20*v + 119. Let j be x(-10). Suppose 3*k - 29 = 2*k. What is the highest common factor of k and j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 1. Let v(n) = n**2 - n + 2. Let z be v(2). Suppose -16 = -z*y - l. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -20*m. Let s(v) = -40*v - 1. Calculate -5*n(x) + 2*s(x).\nAnswer: 20*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkhkkkkhkh. What is prob of sequence hhk?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7879.\nAnswer: 7879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*(-68)\/816)\/((5\/(-145)*1)\/3).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and 1367.94433.\nAnswer: 1364.94433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*t**2 + 2*t**2 + t**2)*(2*t + 3*t - 3*t + (1 + 0 + 0)*(7 + 4*t - 7) + 2*t - 2*t - 3*t)*(7 - 2 + 0 + (4 - 2 - 1)*(-6 + 5 + 3)).\nAnswer: 231*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*j + 49*j. Sort j, 68, -1 in increasing order.\nAnswer: -1, j, 68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 1338 = 3*o - 35, -4*o + 261 = -u. Let h = u + 5816\/21. Is 0 at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eehghhh. What is prob of sequence he?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/15 + 2 + 12\/(-60)*-73.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -270977\/33 or -8210?\nAnswer: -8210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119844*0.26.\nAnswer: 31159.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70326 and 70326?\nAnswer: 70326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 2*v. Suppose -2*s + 48 = -v*s. Does 12 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 129 = -165. Let r be -2 + (-24)\/2*-2. Suppose -r*h + 25*h - m = 0. Let b(p) = p**3 - 5*p**2 + 5*p + 3. What is b(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -937354, -937339, -937314, -937279, -937234, -937179, -937114?\nAnswer: -937039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + 77 - (-5 - -49)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 86\/6 + (4 + -5)\/3. Suppose -10 = -3*z + 3*m - 4, j = -2*z - 4*m. Let h be -2 - (399998 + (z - -1)). Round h to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 4*x**3 - 1 + (2*x**2 - 2*x + 2*x)*(-54*x + 205*x + 203*x) - x**3 - 1 + 1 + (-3 + 1 + 4)*(2*x**3 + 3*x**3 - 3*x**3).\nAnswer: 707*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128 divided by -4.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -92012*j**2 - 133600*j wrt j?\nAnswer: -184024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*u + 17*u = -18*u + 57. Sort 5, u, -4, 16, 1 in increasing order.\nAnswer: -4, 1, u, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/9))**(-2\/39)\/(h**(-8)*h**(-12)) assuming h is positive.\nAnswer: h**(7016\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6043447 - -1.027.\nAnswer: 0.4226553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1482823 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -16*z. Let c(s) = 5*s**2 - 4*s - 4. Let k(b) = -9*b**2 + 7*b + 7. Let r(y) = 7*c(y) + 4*k(y). What is w(r(m))?\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2346*i**2 - 1187*i**2 + 8071*i**4 - 1159*i**2 - 8313*i wrt i?\nAnswer: 96852*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -4*u - 3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 7:45 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, d: 8}. Give prob of sequence ddy.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 93345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*h*o**5 - 3*h*o**4 - h*o**2 - 5*h*o + o**5 - 1 wrt o?\nAnswer: 540*h*o**2 - 72*h*o + 60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**3\/6 - 182052*b**2 - 2184615*b\/2 - 1638459 = 0. Calculate b.\nAnswer: -1092306, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 4) to base 7\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wkg when three letters picked without replacement from smkwgmkgwgkswkkkw.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-628)\/(-26) + (-12)\/78. Suppose 2*y + 0*y = 8. Let v = k - y. Solve v - 4 = -4*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*x - 32 - x + 0*x**2 - 15*x**4 + 3*x**2 + 6 wrt x.\nAnswer: -180*x**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18122\/1077 - -5\/718. Let d(i) = 13*i**2 - 2*i + 3. Let w be d(2). Let n = 358\/7 - w. Calculate the common denominator of v and n.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 + 1)*(-1 + 2 + 0)*(-g**5 - 3*g + 3*g).\nAnswer: -4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from pepxxxmeexpxepxemx?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 369107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/688 and -155\/772452.\nAnswer: 3089808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -11 (b) -2.7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 812\/(-87) - (-22 - -12).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.015844mg in micrograms?\nAnswer: 7015.844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 304496 times -86?\nAnswer: -26186656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13054366 and 65848.\nAnswer: 52217464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7650 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 133*a**2\/2 + 2*a - 220. Let p(y) = -y**2. What is p(v(w))?\nAnswer: -17689*w**2 - 532*w - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/576 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 2*f - 5 - 9, -2 = -p - 2*f. Let i(l) = 18 + 17 - 29 + p*l + 3*l - 3*l - l**2. Calculate i(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15\/19? (a) 5\/32 (b) -0.3 (c) 9\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -244 + -2?\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*y - y - 2*y + 8*y in the form s*y + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 8*l - 15. Let j(w) be the first derivative of 9*w**2\/2 - 16*w - 9. Let g(b) = 5*j(b) - 6*o(b). Let q be g(6). Is q bigger than -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 861561.125 to the nearest 10000.\nAnswer: 860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 531*p**3 - 321*p**3 - 1022*p**3 + (-5 + 5 + p)*(0*p**2 - 3*p**2 + p**2) + p**2 + 9 + 2*p - 9 + p**3 to v + t*p + x*p**2 + k*p**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-59046)\/5)\/(2430\/(-8100)).\nAnswer: 2, 13, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001111100010100010001 (base 2) to base 13.\nAnswer: 703429","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2431 is divided by 344.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**9\/60480 + i**8\/10080 + i**5\/30 + 25*i**3\/6 - 62*i**2. Let n(d) be the third derivative of b(d). Factor n(z).\nAnswer: z**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 49a + -3426?\nAnswer: -2b48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 26.84*57928\nAnswer: 1554787.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3 + 0 + p + p. Let o(u) = u**2 + 8*u - 13. Give -2*o(v) + 9*q(v).\nAnswer: -2*v**2 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 15 * 0.038\nAnswer: 0.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 613236 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s - 6. Let r be o(-5). Suppose -2*p = -4, 2*p = -4*b + r*p - 328. Let i = b + 168. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -637993 - -2?\nAnswer: -637991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1946.\nAnswer: 2, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*w**2 + 0*w**4 - 2\/3*w**5 + 2*w**3 + 0 + 0*w.\nAnswer: -2*w**2*(w - 1)**2*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + 16*p - 50. Let v be q(8). Suppose -2*l = -3*l. Calculate the remainder when 21 is divided by -1 - v\/(-2 + l).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 802*t + 378 = 781*t for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13 - -35222?\nAnswer: 35235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 + -17. Suppose -r + 2*s = -0*r - 42, -3*r + 121 = -s. Suppose 2*n + 16 = r. What is the lowest common multiple of m and n?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2692525 a multiple of 275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**3 + y**3 - 2*y**3)*(34 - 56 + 63 + 196 - 2*y).\nAnswer: 2*y**4 - 237*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*o - 15*o**2 - 40*o - 16*o**2 + 33*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 674945 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -11*h + 43. Give j(8).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6652881 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1311426?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 + -1. Let m(t) = -11*t - 30 + s. Let r(d) = d**2. What is r(m(n))?\nAnswer: 121*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**2 + 5*w**4 + 757018*w - 757017*w - 1 + 0*w**2 to h + g*w + b*w**3 + l*w**4 + i*w**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**5 - 4*l**5 + 2*l**5 + (-l**3 - 79 - 21*l**2 + 79)*(5*l**2 - 3*l**2 - l**2).\nAnswer: -4*l**5 - 21*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4*l + 1. Suppose -3*u - 25 = -28. Let b(d) = 5*d + 1. Let q(a) = u*h(a) - b(a). Let w(y) = -29*y. Determine q(w(t)).\nAnswer: 29*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**4 - 3191*p**3 - 523125*p**2 - 3052701*p - 4536054 = 0. Calculate p.\nAnswer: -3018, -167, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - (13 + -3))*(-20)\/400*295.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o - 12, -1447*w + o = -1445*w - 22 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9996 and 409836.\nAnswer: 409836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -447895*u**3 + 849993*u**2 wrt u?\nAnswer: -2687370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4, -1\/2, 0.497, 2\/5, -29, -3\/7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 2*w = 6, 9 = 5*w - 6 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -550*v**4 + 3*v + 449 wrt v?\nAnswer: -6600*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/11, 1, 3, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d**3 - 24*d**2 + 33*d + 18. Give f(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 118513.\nAnswer: -4\/118513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 7*o + 1. Let y be d(7). Suppose 0 = 4*a - 12*a - 8. What is the tens digit of (a - -5)*(7 + y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/12, -0.08, -2\/9, -3, -1.\nAnswer: -3, -1, -2\/9, -0.08, 1\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i - 8*i - 2 + 22*i - 4*i. Let g be (3 - 26\/6)*-3. Let a(x) = x + 1. Let k(s) = g*a(s) - p(s). Find the first derivative of k(j) wrt j.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g**5\/5 - 8*g**4 + 2974*g**3\/15 - 11884*g**2\/15 + 2408*g\/3 - 240 = 0 for g.\nAnswer: -18, 2\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 137*l + 84 = -115*l, 33*o - 35*o - 12 = -5*l for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g - 4*g - 4*q + 6, 3*g - 3 = 2*q. Let z = -27 - -18. What are the prime factors of ((-246)\/z + 3)*g?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2121 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -810?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 25, 41, 59, 79?\n\"Answer: y**2 + 13*y + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -29, -27, -7, 37?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1*(1 + sqrt(11))**2 + 3.\nAnswer: -8 - 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 + -16. Does 2 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 26. Let v = n - -20. Let d be (-34)\/(-6) - v\/9. Solve -2*a = -o + 6, -3*o + 3 = d*a - o for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*p + 735*p**3 - 56*p - 745*p**3.\nAnswer: -10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 446\/18 - 23\/((-621)\/6). Factor -24*w**3 + j*w**3 + w**2 + 11*w**2 - 68*w + 72 + 2*w**2.\nAnswer: (w - 2)**2*(w + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*l + 44*l = 5*h + 84, 9*h - 4*l - l - 166 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.5 + -5.5. Let t = -193.6 + 194. Which is the third smallest value? (a) q (b) -5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -3 (b) 3\/4 (c) -39 (d) -0.2 (e) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -897\/2 + 467. What is the common denominator of -44\/7 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**3 - 4*k**3 + 3*k**3 + (-5*k - 2*k + 4*k)*(17*k + 6*k - 6*k)*(-4*k - 5*k + 1 + 3*k).\nAnswer: 304*k**3 - 51*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2836204 or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 399368996 to the power of 1\/2, to the nearest integer?\nAnswer: 19984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**2 + 5. Let v(a) = a**2 - 1. Let y = 60 - 55. Let s(i) = y*v(i) + l(i). Let q(t) = -3*t. Give q(s(r)).\nAnswer: -21*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -137.58.\nAnswer: -13.758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3*z = 395, 4*z = 4*d + 33 - 393. Suppose 0 = -3*h + 37 + d. Let f = -17 + h. What is the greatest common factor of 3 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d - 6 = -d + 2*s, -4*d + 2485*s + 17 = 2484*s for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z - 1. Let a = -6 - -11. Suppose -3*p + 0*p + 3 = 0. Let x(d) = d**4 - 5*d + 3. Let m(u) = a*s(u) + p*x(u). Differentiate m(g) wrt g.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 132544927?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1d97 - 4?\nAnswer: 1d93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26 by 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of 23*s**9\/504 - 11*s**5\/60 - 20*s**2. Find the third derivative of h(a) wrt a.\nAnswer: 2760*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 1\/8, 0.5 in increasing order.\nAnswer: -28, 1\/8, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 238137900 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r + 6. Let h be o(-7). Let m(v) be the first derivative of -5*v**4\/4 - v**3\/3 - 2. Let f be m(h). Solve p + 1 + f = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 270, 231, 150, 15, -186, -465, -834?\nAnswer: -1305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 548862913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -b**4\/12 - 7*b. Let w(j) = 3*j**2. What is w(i(q))?\nAnswer: 3*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w + 3*w + w)*(21 - 1 + 25)*(-3 + 0 + 4)*(0*w + 0*w - 2*w**2 + (0*w - w**2 + 0*w)*(-3 + 0 + 2)).\nAnswer: 45*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -i + 15, 0 = -0*j + 5*j + 20. Suppose 252 = 7*g - i*g. Suppose 2*r + 115 = 5*n, 5*n - 4*r - 52 = g. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20.5 + 22. What is i rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 338*i**2*l**2 + i**2*l - 2*i + 3985*l**2 - l + 3 wrt i?\nAnswer: 676*i*l**2 + 2*i*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9081*x + 9100*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50561797 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 462, 459, 446, 417, 366, 287, 174, 21?\n\"Answer: -d**3 + d**2 + d + 461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12643 and 269?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8484706?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*h**2 - 4*h**2 - 7 + 6*h**2 + 4*h**2 in the form p*h**2 + j*h + t and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -82 - -91. Let m(l) = 2*l - s + 4 - l. Calculate m(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-588 + 294 + 291 - 110*x)*(-7 + 5*x - 15*x + 8*x).\nAnswer: 220*x**2 + 776*x + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**2 - 2*s**2 + 0*s**2 + 7*s**2 - 3*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*s**6 - 139*s**4 + 6*s**3 - 72502*s**2.\nAnswer: -840*s**3 - 3336*s + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -9\/4 (b) 1\/4 (c) -0.4 (d) -1686\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1989197\/22 or -90419?\nAnswer: -1989197\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.17, 3, 10 in decreasing order.\nAnswer: 10, 3, 0.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2947 + 3764 - 1683)*(t**2 + t**3 + 2*t**3 - 6*t**3) to b + z*t**3 + o*t**2 + m*t and give z.\nAnswer: 2598","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*s + 29790 = 6*s. Let q = s + -658. Sort -3, -14, q.\nAnswer: -14, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 53750 = 2*k, -419 = 4*s - 3*k - 54194. Does 24 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 9*m**2 - 2*m - 71. Calculate g(-9).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1303596990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -2*a - 14, 2*o - 4*a = -0*o - 2. Suppose 5*w - m - 771 = -45, -o*w + 750 = 5*m. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 u when four letters picked without replacement from cccucuccccu.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 (base 9) in base 15?\nAnswer: 1ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z**3 + 86*z**2 - 155*z + 515. What is y(27)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 2*o**2 + 2*o + 5. Let a be g(3). Suppose -4*h = -v, 0*h = a*h + 3*v. Solve h = 2*p + 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 - 31030?\nAnswer: -31020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.088 or -1\/1102?\nAnswer: 0.088","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 54\/10 - (64\/40)\/4. Suppose 3*v - 136 = -2*v - 4*z, 5*v - 140 = -d*z. Solve -2*n = 16 - v for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32646755\/5252 + 80806\/13. Find the common denominator of -7\/4 and t.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10063848 to the nearest integer?\nAnswer: 3172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((70\/(-20))\/7)\/((-6)\/(288\/(-6)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -61, -125, -221, -349, -509, -701, -925?\n\"Answer: -16*x**2 - 16*x - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-4))\/(c**(-2\/7)*c*c)*((c*(c*c**(-1))\/c)\/c)**(-1\/84))**39 assuming c is positive.\nAnswer: c**(-5135\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -8aa (base 11) to base 7\nAnswer: -3113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*o**2 - 1\/5*o**5 + 0*o**4 + 0 + 2\/5*o**3 - 1\/5*o = 0. Calculate o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 239, 475, 711?\n\"Answer: 236*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 513 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kht when three letters picked without replacement from znllkzzzztllzhtlllll?\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37238.\nAnswer: 2, 43, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*n - 277 = 4*x, -38*x + 41 = -40*x - 5*n for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*g, n = 2*g + 2569 + 1528. Let b be 1 + (0 - n) + (-4)\/(-1). Round b to the nearest 100.\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 370, 377, 384, 391, 398, 405?\nAnswer: 412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/4)\/((-12)\/(-18)). Let v(f) = -f**3 + 4*f**2 + 5*f + 2. Let r be v(5). Which is the smallest value? (a) r (b) i (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2097681.090077 - -2097682. Let y = u - 0.91. What is y rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 8:19 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*(-32)\/(10752\/(-36)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h**2 + 3*h + 3. Let b(j) be the second derivative of j**4\/4 - 2*j**3\/3 - 2*j**2 + j - 5. Give -3*b(u) - 4*x(u).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, l: 4, o: 3, r: 1, p: 4, m: 1}. Give prob of sequence rp.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i**2 + 4*i. Let f = -2 + 8. Let y(t) = -t**2 + 40*t + 4*t**2 - 43*t. Let l(m) = f*y(m) + 5*p(m). Find the second derivative of l(r) wrt r.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4195 rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*80943571.\nAnswer: 161887142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4259090*a**3 - 1999649 with respect to a.\nAnswer: -12777270*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 391538*y + 3132335. Calculate r(-8).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 377405 to the nearest integer?\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5139 and 176375?\nAnswer: 906391125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 57546533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -99.052 - -0.052. Let v = 100.74 + c. Let a = 0.26 + v. Which is smaller: a or 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + 0. Is 2\/4*(p - -438) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -152776*x + 152755*x - 147 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fj when two letters picked without replacement from fjfffulfflau?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/170 and 37\/255?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106529 is divided by 1973?\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 6*z**2 + 2*z - 8. Let d be ((-2)\/6)\/(1\/(-18)). Give w(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 495 and -0.9.\nAnswer: 494.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 3*p = -4*h - 14, -2*p - 12 = 0. Which is the third biggest value? (a) 2\/3 (b) -2 (c) 0.4 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (19\/(-171))\/((-2)\/18). Let o(k) = k**2 - 8*k + 3. Let y be o(9). Suppose -3*q + 3*x = -x - y, 0 = 3*q + 2*x + 6. Put v, q, -1 in descending order.\nAnswer: v, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + (-8)\/(-10))*(86 + 14). Find the common denominator of 53\/9 and (c\/5025)\/(2\/(-15)).\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1\/68 (b) -6 (c) -7.7 (d) 5 (e) -11 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*u**5 - 42*u**5 - 25*u**5 + (-2*u**3 + 0*u + 0*u)*(0*u + 2*u**2 + 0*u) + (0 - 2 + 3)*(3*u**5 - 3*u**5 + u**5).\nAnswer: -41*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3060198 and 69903?\nAnswer: 27541782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 124 - 127 - 10 - (26 + -1).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = q + 7*y + 23, -3*q - 4*y = 37. Let l be 6\/15*(-2 - q). Suppose 2*u = 4*r - 6, -l*u + 2*r - 2 = -0*r. Which is bigger: u or -1\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 338731963 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 560 is divided by -5 - 3*(-308)\/42?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {y: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 288 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 252 - 305?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.957 rounded to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2973 - 10057 = -5*s, 0 = -5*y + 5*s + 13070. Is 87 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -11. Suppose 0 = 2*w + 3*j - 1089, j - g = -2. What is w rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2790 times 98?\nAnswer: -273420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bggggbgggbgg. Give prob of sequence gb.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/22)\/(-17*(-24)\/(-2992)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2668243*d**2 - 2063156*d wrt d?\nAnswer: -5336486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 102.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express z + 26753*z**2 + 559*z**3 - 26753*z**2 as c + d*z + l*z**3 + a*z**2 and give l.\nAnswer: 559","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3*u**3 - u - 3. Let t be h(-2). Suppose -t = -x - 4*x - 2*l, -4*x - 5*l + 15 = 0. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 + 1064*v + 16 - 546*v - 519*v.\nAnswer: -v + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(272) + 3 - (-3 + 1 + sqrt(272)))**2 + (((sqrt(272) + -1)*5 - sqrt(272)) + 2*(sqrt(272) - (sqrt(272) + 1)))**2.\nAnswer: -224*sqrt(17) + 4417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7226 = -2*l - 4*l + 7*l. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30400*p - 89 = -3*k + 30405*p, -4*p = -7*p + 6 for k.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/2))**(-7))**(7\/13)*d**(-6)*d**4*d\/d**(1\/7)*d**(-3\/7) assuming d is positive.\nAnswer: d**(-629\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 304 (base 10) to base 3.\nAnswer: 102021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-24 + -31 - (1 + -6) - (20 + -13))\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -8*d + 6. Let g(p) = -8*p + 4. Let z(o) = 2*a(o) - 3*g(o). Let h(v) = 17*v. What is z(h(q))?\nAnswer: 136*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 2*m - 12. What is b(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(1900)*2)**2 + -1).\nAnswer: 7599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 195a9 + -2?\nAnswer: 195a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 69*a + 999. Give i(-14).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22110072.\nAnswer: 2, 3, 19, 48487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -s + 31600. Round s to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1080 - 510792465\nAnswer: -510791385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.335 and 0.2?\nAnswer: -0.867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5616529ml to litres.\nAnswer: 0.0005616529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -151093263 divided by -5\nAnswer: 151093263\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2022 (base 4) to base 5.\nAnswer: -1023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/66 and -67\/1719.\nAnswer: 37818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zxxx when four letters picked without replacement from {z: 3, x: 11, a: 3, v: 3}?\nAnswer: 33\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a**2 + 102*a + 99. Let s be j(-33). Solve 10 = -5*m, -15*r + 14*r + m + 7 = s for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(550) - sqrt(22)) + (sqrt(110)\/sqrt(5)*-2 - sqrt(22)))\/(((sqrt(352) + sqrt(22))*-1)\/(-6*1*sqrt(2))).\nAnswer: -114*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4405 is divided by 3684?\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-18) - (-5)\/(-3). Are o and -1\/16 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 - -2200?\nAnswer: 2222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -326340 by -8820.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -174.6 + 140. Let i = m + 36. Is 1\/4 >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 308 and 3152996.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2 = 0, -7*r - 4*g + 58 = -2*r. What are the prime factors of ((-3648)\/r)\/(-6) + 4\/(-5)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 199\/45 - 16\/80. Let t = -49\/18 + c. Suppose t*z**4 - 8*z + 2 - 7*z**3 + 23\/2*z**2 = 0. Calculate z.\nAnswer: 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 s, and 1 k when three letters picked without replacement from {s: 1, k: 1, h: 1, e: 3, g: 3, b: 9}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 - 1. Suppose -3*g = g + j. Let z(w) = -w**2 - 7*w + 6. Is z(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -6*l**2 + 4*l - 2. Let y(w) = -w**2 + 11*w - 16. Let t be y(9). Give h(t).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9215*s + 0 - 5726*s + 0.\nAnswer: -14941*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.215 + -0.215. What is the smallest value in 1\/3, p, -0.3, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45 - 32. Suppose -2*p = -y + 5. Solve -s - p = -0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8015 and 726159?\nAnswer: 1603","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*((sqrt(77) + 2*sqrt(77))*1 + sqrt(77)))\/(sqrt(63)\/sqrt(36) + sqrt(1575)\/sqrt(9)))**2 + 1.\nAnswer: 2315\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 4:20 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (870\/(-70) + 4).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4*l = 6*i - 1184, -5*i + l + 2996 = 0. Find the common denominator of -131\/6 and (-6)\/(-10) - 3620\/i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -1. Let a(b) = -2*b**2 - 9*b - 3. Give -a(m) + 2*s(m).\nAnswer: 2*m**2 + 9*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 137699545 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 800.3014l in millilitres?\nAnswer: 800301.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4*b = -115 - 134, 94 = w + 5*b. Does 4 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 8, 20, 46, 92, 164, 268?\nAnswer: 410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**4*o\/(o\/(o*(o\/(o*o*o*o**(-4)))\/o)))**(-7\/8) assuming o is positive.\nAnswer: o**(-21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(((w\/(w\/(w\/((((w\/((w**(9\/5)*w)\/w*w))\/w)\/w*w)\/w)))*w)\/w)\/w))\/(w\/w**(-11))*(w**(-15)*w*w)**(-15\/7) assuming w is positive.\nAnswer: w**(457\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.1, 1286, -1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -2*f**2\/3 - 338578*f\/3 - 338576\/3 = 0.\nAnswer: -169288, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -27968698 and 65.\nAnswer: -27968633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 11:37 AM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of 2*h**3\/3 - 15. Let i(d) = d**3 + 5*d**2. Let t(m) = m**3 + 5*m**2 + 5. Let n be t(-5). Give n*r(s) - 2*i(s).\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**4 - 3*q**4 + q**4 - 4 + 4 - 2*q**4 + (q - 2*q**3 - q)*(0*q + q + 0*q) - q**4 - q**4 + 3*q**4 + (8*q**2 + 2*q**2 - 44*q**2)*(9 + 10*q**2 - 9).\nAnswer: -342*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 3, 6182, -4 in decreasing order.\nAnswer: 6182, 3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 48*o**2 - 54*o + 203. What is p(47)?\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 803 a factor of 587180902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7c + -1616?\nAnswer: -1578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/17)*a*a)\/(a*a\/a**8*a*a)*a**(-6\/5)*a*a**(4\/3)*a assuming a is positive.\nAnswer: a**(2044\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11 - (-12 + 8)) + 10. Solve -1 = w + c for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -68031 and 1079622444?\nAnswer: 1079690475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 v, and 1 y when three letters picked without replacement from llzdvayyd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/175)\/((-564)\/(-10528)).\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 285513148 to the nearest integer?\nAnswer: 16897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2234471781102316 - -2234472137811305.5999186. Let s = 356708524.6 - n. Let r = -465 - s. What is r rounded to six decimal places?\nAnswer: -0.000081","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337.47 - -3?\nAnswer: 340.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -2 - 6. Suppose a = 3*u + 15, x*a - 30 = 6*u - u. What is the tens digit of (246\/a)\/((-6)\/(-15))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 10:09 PM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) -7.689 (c) 1 (d) -5 (e) -0.2 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -2\/11, 378, 4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.51 minus -601?\nAnswer: 600.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1126 + 6139. Calculate the greatest common divisor of u and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 531*l - 303740. Calculate f(-347).\nAnswer: 926","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11132526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12010 - -2102021?\nAnswer: 2120031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 26*x - 20*x. Let m(w) = -w**3 - 11*w**2 - 13*w + 17. Let g be m(x). Let t = g + 50. Is 11 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 take away 120?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/546 and -115\/924?\nAnswer: 12012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1593*s - 45 = -1598*s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3*k - 2. Let m(n) = 6 - 14 + 8 + 0 - n. Calculate v(m(w)).\nAnswer: 3*w - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11101 (base 2) to base 3.\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2\/3 - 154*p\/3 - 26.\nAnswer: 2*(p - 39)*(2*p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -15) + (1 - 14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**2. Let f(r) = 2178*r**2 - 3*r. Calculate f(u(v)).\nAnswer: 8712*v**4 + 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3601852.85611 and -1459.\nAnswer: 3600393.85611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11406 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 43 - 6561?\nAnswer: -6515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 12 = f, -19*f + 21*f + 4*l - 26 = -80 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -2*g - g. Let z = -21 + g. Suppose -4*t + 4*d + 94 = 2*d, 4*t = 3*d + 89. Calculate the remainder when t is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -322502, -322982, -323462, -323942, -324422?\nAnswer: -324902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 196*i - 5. Let s(w) = -3186*w + 81. Let c(l) = -81*q(l) - 5*s(l). Let g(u) = 9*u. Determine g(c(y)).\nAnswer: 486*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4206 is divided by 3937.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 63086.07s?\nAnswer: 63086070000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33580 divided by 730.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x\/(x*x**0*x))**45\/(x**(-3)*x\/(x*x*x*x**(-8)*x*x*x)))**34 assuming x is positive.\nAnswer: x**1530","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 281871 and 3024?\nAnswer: 94708656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35 + 43. Suppose 4*i + 5 - 27 = 5*v, -5*v = 4*i - 42. Does u = i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4*u**2 - 5*u**2 - 12*u**2. Let z = 13 + -15. Let q(m) = -4*m**2. Calculate z*w(r) + 7*q(r).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18663628 rounded to five decimal places?\nAnswer: -0.18664","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 415 + -388. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 137 and 47?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2272 + -2268. Sort -24, 2, f, 3 in increasing order.\nAnswer: -24, 2, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.28 + -0.06. Let d = -2.78 - l. Which is the second biggest value? (a) 0 (b) d (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 4:11 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*o + 36 = -25 - 28 + 89 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 26574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -1010001000110101110100?\nAnswer: -1010001000110101110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28436 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) -5 (b) -1\/9 (c) 4 (d) -0.3 (e) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3990\/475)\/(-3*7\/(-105))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1065*y - 2*p + 336 = -978*y, 0 = 4*p + 24 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 2 + 2*d + 0)*(-77 - 124 - 121).\nAnswer: 322*d - 644","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, f: 3, q: 2, s: 7, m: 3, n: 1}. What is prob of sequence mnk?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 25 = 2*p - 5*q, 3*p - 4*q - 26 = 0. Let g(f) = f**3 - 4*f**2 + 5. Is g(p) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/20 + 98778\/9780.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 2:15 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1779800 divided by -2\nAnswer: -889900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 5 = -1. Let v be (4 - 0)*(-2)\/d. Suppose -12 = v*u - 56. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73980 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = k - 7*j + 2*j, 2*k - 26 = 5*j for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 4*j - 8006, 20 = -4*j - j. List the prime factors of i.\nAnswer: 3, 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 19*z - 13. What is the remainder when m(-9) is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -43, -160, -361, -646?\n\"Answer: -42*y**2 + 9*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 47*h**2 + 8*h - 7. What is d(-4)?\nAnswer: 713","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -15*f + 1. Let u(g) = -31*g + 5. Let o(x) = -4*u(x) + 9*w(x). Give o(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 8, k: 5}. Give prob of sequence kww.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 11:24 PM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 10*i**2 + 6*i + 4. Let o be k(6). Let x = 180 + o. Suppose 0 = -3*w + 5*l + x, 0 = 2*w + 2*w - l - 73. Round w to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b6 (base 12) to base 11.\nAnswer: -358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1096 - 1095.2. What is the closest to r in -6, 0.4, -2\/9, -1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*t = -22. Let l(a) = a**2 - 15*a - 3. What is the units digit of l(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31873633 to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 884 is divided by 41.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -533*d. Let w(i) = -2225*i**2. Calculate g(w(s)).\nAnswer: 1185925*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 10}. What is prob of picking 3 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15\/(-3) - 2\/(-2). Let o = -15 - c. Let g be (2 - o\/(-5))\/1. Put 0, g, -4 in descending order.\nAnswer: 0, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7769785*-14\nAnswer: -108776990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45702 is divided by 15225?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 387429712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -154 - -162. Suppose -4*t = -2*x - 760, d*x - 950 = -5*t + 5*x. Is 10 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140 + t + 140 + 8*t.\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*n = -48*n + 1932. What is the remainder when 348 is divided by n?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.1, -4, -2\/5, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 600931 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 m(n) = -57*n. Let l = 3102 - 1645. Let w(v) = -l*v + 1457*v + v**2. Determine w(m(j)).\nAnswer: 3249*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*k = 307*k - 12656250. What is the hundreds digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -6, 6*c - c - 2*j = 2209. Suppose -4*h - 2*r + c = 149, 4*h = -5*r + 279. Calculate the remainder when h is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 30b + -ed5?\nAnswer: -bca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -130 + 40. Factor -12*t + 2*t**2 + u + 0*t + 0*t.\nAnswer: 2*(t - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**5 - 5*a**5 + 2 - a**5)*(-1 + 4 - 2) + 0*a**5 - a**5 + 4*a**5.\nAnswer: a**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 + 0)*(1827*g - 68261 + 78*g + 68263).\nAnswer: 7620*g + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 24668 to the power of 1\/2, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-114)\/76)\/(6\/8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 48 = 7*f. What is the remainder when 45 is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((8\/(-6))\/4). Suppose -1 = -d*t + 5. Put -4, -1, t in decreasing order.\nAnswer: t, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7604.25 - 7528.25. Let r = 1 - 0.6. What is the second smallest value in 1\/4, j, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 112*w - 516. Give p(107).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2187940961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 76744566 to the power of 1\/3, to the nearest integer?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 + -10. Suppose 0 = -2*b + v + n, 3*v - 71 = -4*b - 2. Suppose -u - 8 = 2*g + 1, -2*u - 2*g - 8 = 0. Solve -z = 3*t - b, 5*z + 0*z + u = 4*t for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 6:09 AM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 149 - (-117)\/9 - -6. Solve w*v - 175*v = -7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 11) in base 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*q**5 + 60*q**4 - 1802*q.\nAnswer: -300*q**3 + 720*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.035, 3, -9\/2, -2 in decreasing order.\nAnswer: 3, -0.035, -2, -9\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2046378020?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -16*g + 3. Let o(j) = -63*j + 12. Let u(y) = -4*o(y) + 15*q(y). Let m be 15\/6 + (-2)\/(-4). Is u(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -5331*b + 85288. Calculate r(16).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -6 + 3. What is the third derivative of 8*r + q*r**2 - 8*r - 2*r**3 wrt r?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17*g**4 + 2*g**3 - 320*g**2 - 18475 wrt g?\nAnswer: 68*g**3 + 6*g**2 - 640*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/2409 and -26\/27?\nAnswer: 21681","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.399 + 0.299. Suppose -4*v = 5*k - 1, 0*v - 5*v + 11 = 3*k. Put c, 5, v in descending order.\nAnswer: 5, v, c","meta":{"dup_signals":{},"source":"comparison__sort_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: In base 13, what is b5ab3 - -4c?\nAnswer: b5b32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1126187*p**3*s**2 + 140*p**3*s + p**2*s**2 - 2*p**2 - 2*p*s - 303*s wrt s.\nAnswer: 2252374*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 367 - 159*m**2 + 4819*m - 116 - 129 - 122 + 2*m**4 - m**3 wrt m?\nAnswer: 24*m**2 - 6*m - 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + c + 9. Suppose 5*r = -3*l + 231, 0 = -4*r - r + 15. Calculate the highest common divisor of l and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*j = 17*j + 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 1) + (-4 - (-20 - -2)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*7\/(-14)*132\/9. What is the greatest common factor of 66 and z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1476 = -17*g + 1645 + 2211. Calculate the greatest common factor of g and 5180.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**6\/(i\/(i**(2\/25)*i))*(i**(-2\/27)*i)\/(i**6\/i))**(-20) assuming i is positive.\nAnswer: i**(-5416\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c = -14*c + 9. Let g(p) = -2*p + 11. Calculate g(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -138 (base 14) in base 3?\nAnswer: -100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 258837.1284 to the nearest ten.\nAnswer: 258840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 464472?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 5*k, 0 = 2*y + 6*k - 5*k + 8 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f + 3*f + 2*f - 3*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 53 = 4*t - 2*t, 0 = 4*t + 5*d - 109. Is t a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*v - 27 = -4*w - 16*v, 97*w + 65 = -2*v + 366 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 - 2)*(4 - 3 + 0)*(-3*l**2 + 2*l**2 - l**2).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, a: 3, d: 5, j: 1, o: 2, z: 3}. Give prob of picking 2 d, 1 e, and 1 o.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 0.2, -3, 109?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34 - 198. Let g = -162 - u. Let r(d) = -4*d + 1. What is r(g)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of 0*s**3 + 0*s + 2*s**2 + 0 - 1\/12*s**4. Let v(j) = 3*j. Determine r(v(d)).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-147.8.\nAnswer: -73.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/8)\/(8\/(-96))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c58650 (base 13) to base 16.\nAnswer: -467310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -263 - 14 = -b. Suppose 843 + b = 14*l. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.7 - -0.59. Let h = 0.09 + y. Let f = -0.32 - h. What is the second smallest value in f, 3\/2, 5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.75, -1, -5, 261.99 in decreasing order.\nAnswer: 261.99, 1.75, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jskszsjjsjzsssssjj. Give prob of picking 1 z and 3 j.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219420367.\nAnswer: 79, 2777473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 525*v. Let g(f) = 2*f + 35. Determine o(g(m)).\nAnswer: 1050*m + 18375","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - -5394646675\nAnswer: 5394646674.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/20*-1*(-6 - -5)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34176588 is divided by 427?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5097?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 62*w**3 + 80*w - 18*w**4 - 102*w**2 + 2*w**5 - 114 - 91 + 181 = 0.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(7) + -2*sqrt(567) + sqrt(77)\/sqrt(891)*-2)**2*-6*-4.\nAnswer: 2480*sqrt(7) + 1351232\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(6\/(-153))*1\/(-3). Let y = r - -24. Solve -3*c + y*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -472 - -748. Is s a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 2 - (-7 + 7) - 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/170*(-10)\/4.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 74 + -72. Let d(n) = -110 + 2*n**3 - 7*n - 7*n**v + 106 - n**3. Let o = -3 + 11. Determine d(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -36*a**3 + 183*a**2 - 300*a + 156 = 0.\nAnswer: 13\/12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1*1*sqrt(10))\/(5*sqrt(5)*-1 + sqrt(5) + sqrt(5)).\nAnswer: -sqrt(2)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 20, 8, -5 in descending order.\nAnswer: 20, 16, 8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 263442 or 263441?\nAnswer: 263441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 4*j = -242, 4*w + j - 48 = 3*w. Suppose 4*n + 6*n = w. Solve 5*c - 24 = -n*l + 3*l, 0 = -5*l + c + 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -196\/3 + 1366\/21. What is the closest to 1 in 28, 0, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 4*c = 30, f + 2*c = -2*f - 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-99)\/(-45))\/11*5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -5*v + 42, 2*v - 10 = 3*c + 18. Let j be (-58)\/c - 1\/4. Let a = j + -5. Let q(l) = -2*l**2 + 2. Calculate q(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*k - 26*k - 121 + 120)*(-7 + 3 + 0).\nAnswer: 64*k + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 93 = -10. Let o = z - 19. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -74e + d1da?\nAnswer: c98b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8 + 2\/6*(5 + -5). Suppose 4*w + 64 = -3*m + m, -4*m - l = 0. What is the second smallest value in 0, 1\/4, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 190287791?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 7*i + 1. Let x(m) = -20*m - 3. Let l(v) = 2*x(v) + 7*z(v). Let r be l(1). Let n = 256 + -247. Is n greater than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(8\/19)\/(((((z\/z**(-24))\/z)\/z)\/z)\/z))**25 assuming z is positive.\nAnswer: z**(-9775\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2089 + 3094. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 9*w = 4*w + 5, 2*a - 4*w = -6 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -403.06 + 403. What is the fourth biggest value in 3, u, 0.4, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 14462*z + 216713. Calculate r(15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.493 + 0.117. Let n = m - -17.89. What is n rounded to 0 decimal places?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 959878.6 micrograms?\nAnswer: 959.8786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -x**6\/15 + 6*x**5\/25 - 8*x**3\/15 - 73. Solve z(l) = 0 for l.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 460259 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (37*l**3 - 28*l**3 + 40*l**3)*(3 + 14 - 21*l + 20*l) in the form q + s*l**2 + a*l + f*l**4 + t*l**3 and give f.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2. Let w(z) = 70*z + 3. Determine w(v(c)).\nAnswer: 70*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5354 - 1012 = -207*b - 1398. What is the smallest common multiple of b and 202?\nAnswer: 2424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*a**3 - 7*a**3 + 6*a**3)*(-92 + 52 + 2*a + 45) to d + u*a**3 + m*a**4 + p*a**2 + n*a and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(5040) - sqrt(5040))\/(sqrt(40)\/sqrt(392)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -42705 divided by 6?\nAnswer: -14235\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 595613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 (base 12) in base 16?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence njns when four letters picked without replacement from abasnsbjbassabvnbvns?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183482?\nAnswer: 2, 13, 7057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 6*o + 11*o - 3 = 0, -2*o = 2*c - 12. Suppose 26724 = c*z - 15333. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*g*p**2 + 4*g*p*v**2 + 4*g*r**3 + 2*p**2*v**2 - 10*p**2*v - 2*r**3*v with respect to g.\nAnswer: 3*p**2 + 4*p*v**2 + 4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -27103*z**3 + 2*z + 125707 wrt z.\nAnswer: -81309*z**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1954319414?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 9*t + 84 = -t for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1876 + 1926 - (38 + 0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3317603.15 rounded to the nearest 100?\nAnswer: 3317600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*b**3 + 53*b**3 - 10*b**3.\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o - 1. Let f be l(-2). Let p = -638\/21 - -92\/3. What is the third biggest value in f, p, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/((r**(-4)\/r*r)\/r)*r**2)**1\/(r**6\/(r*(r\/r**(-1\/3))\/r))**(-3\/31) assuming r is positive.\nAnswer: r**(293\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1.546596 months?\nAnswer: 0.00128883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37458 - -25058. What is the ten thousands digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q - 13392. Let a(y) = 2397*y. Determine u(a(b)).\nAnswer: -4794*b - 13392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q. Let x(s) = 9*s. Let y(b) = -4*h(b) - 11*x(b). Let p(a) = a**2 + 13*a. Determine y(p(m)).\nAnswer: -95*m**2 - 1235*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 5:47 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14662443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5484112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by 72.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -7*c**2 + 5*c - 6. Let u be ((-4)\/(-6))\/((-2)\/(-6)). Let o(x) = -11 + 14*x + x - u*x - 4*x - 13*x**2. Calculate -11*g(m) + 6*o(m).\nAnswer: -m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**2 - 5*f + 1. Let a(r) = -r**2 + 5*r - 1. Let q be 0 + 10\/(-55) - (-46)\/11. Determine q*a(b) + 3*t(b).\nAnswer: 2*b**2 + 5*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 687 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2734*c**2 - 2837*c**2 - 2 + 1508*c**2 as o*c**2 + d + x*c and give o.\nAnswer: 1405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50462.\nAnswer: 2, 23, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**2 + 4*t. Let a(d) = 4*d**2 - 9*d. Let s(i) = 4*a(i) + 9*j(i). Let c be 5\/(-25) + (-62)\/(-10). Let m(b) = -15*b + 6*b - c*b - b. Give s(m(v)).\nAnswer: -512*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.7? (a) -8\/7 (b) -3\/8 (c) 5 (d) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -5*x + 27, 0 = 4*x + 5*j - 28 - 10. What is the highest common factor of 21 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-152 - (-49 + 47 + -27)) + 33\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (7 - 19) - -3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36255543?\nAnswer: 3, 17, 137, 5189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2058.93 - 2050. Let n = b + -8.8. Round n to 2 decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1136 is divided by 163?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from lhlhyylly.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -b + 20, 2*b + 17*d - 14*d = 27. What is the smallest common multiple of b and 27?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3 + 4308*z**2 + 69892*z + 65580.\nAnswer: -4*(z - 1093)*(z + 1)*(z + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1152 + 2982*j**3 - 1492*j**3 - 72*j**2 - 1491*j**3 wrt j.\nAnswer: -3*j**2 - 144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-135) - (-8)\/(-10) - -1.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**4\/5 + 30882*t**3\/5 + 1269976*t**2\/5 - 6998232*t\/5 + 5697376\/5 = 0 for t.\nAnswer: -46, 1, 4, 15482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 o when two letters picked without replacement from nonon?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/22173 and -38\/45.\nAnswer: 332595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4629886 is divided by 420898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*(q\/(q*q*q\/q**(-1\/2)*q)*q)\/q)**(-29)*((q\/q**(-1))\/q*q)**48)**(-40) assuming q is positive.\nAnswer: q**(-5580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -8 + 2\/12*6 - (-10 + 3). Which is the fifth smallest value? (a) -2 (b) 2\/13 (c) 1\/2 (d) -5 (e) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (18\/(-12) - -1)*(1 + -7). Suppose -4*c - k*b + 15 = 0, 0 = 5*c - b + 2*b - 5. Solve 3*m + c = 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8090230 is divided by 124.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 71, 146, 221?\n\"Answer: 75*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**3 - 118*r**2 - 4465*r - 53016 = 0.\nAnswer: -47, -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 11*q + 13*q. Let a(o) = o - 10 + 3*o**3 - 3*o**3 + o**2 + o**3. Give a(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -701, -1394, -2087, -2780, -3473, -4166?\nAnswer: -4859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -75948 divided by -25316?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1148)\/(-21) + 4\/(-6) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -9) + -5 + 13 + 16 - 8\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -191\/3 - -64. Put -0.2, 4, j, 5 in descending order.\nAnswer: 5, 4, j, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80 and 180?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 20*y - 488. Give z(-14).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 650723729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-20)\/(-4)*4186\/35 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -7*x - 3. Let l be 56\/20 - (6\/10)\/(-3). Let j(k) = -8*k. Let h(u) = l*j(u) - 4*t(u). Give h(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 519*f = -1277*f - 136*f + 404*f + 2525784. Let y = -67 + 124. What is the greatest common divisor of f and y?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -299422 * -636\nAnswer: 190432392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 234939 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 991 - 361. Is l a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, p: 2, q: 1, i: 5, m: 1}. What is prob of sequence pims?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 154812 or 154813?\nAnswer: 154812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2680408.\nAnswer: 2, 335051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 3 - 3)*((s - 2*s + 0*s)*(2*s**4 + 2*s**4 - 3*s**4) - 2*s**5 + 0*s**5 + 5*s**5).\nAnswer: -14*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21.8 + 65.7. Let v = -2.9 + s. Let f = v - 38. Sort 4, -1, -1\/2, f in decreasing order.\nAnswer: 4, f, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1366, -1376, -1400, -1444, -1514, -1616?\nAnswer: -1756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13785197 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 -0.31, 49, -0.05, 2?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (-8 - -11)) + 4 - -13?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - k - 10 = -31, 0 = -2*k - 8. Solve -t - 12 = -q*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2*t + 10 = 0. Let u = -73 - -79. Suppose 32*w - 34*w = -u. What is the nearest to 0 in -0.1, w, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1407\/(-402) - (-2103)\/(-246)) + 2 + 10?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d**3 + 2*d**3 + 2*d**3)*(-1 + 2 - 3) - 23*d**3 + 7*d**3 + 3*d**3.\nAnswer: -9*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3 + 36*z**2 + 263*z - 1140.\nAnswer: (z - 3)*(z + 19)*(z + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -8. Let d(v) = -9*v**3 + 2*v**2 + 7. Let g(y) = 11*y**3 - 3*y**2 - 8. Let w(u) = 6*d(u) + 5*g(u). What is the least common multiple of w(o) and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*t - 3934 = 6*t. Calculate the remainder when t is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -118.\nAnswer: -23.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-20)\/3)\/((-7)\/21). Let c = u + -15. Let b(j) = 6*j - 9. What is the tens digit of b(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13363 - 13361. Let k(i) be the first derivative of -4\/5*i - 108\/5*i**3 - 36\/5*i**j - 19. Solve k(v) = 0.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/990 + 8\/88 - (-42)\/(-3220).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = v - 2*v + 3, 3*k = -2*v + 6. Suppose 8*r = -k*r + 656. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/6)\/(-11)*1\/(897\/234).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 838404800.\nAnswer: 2, 5, 47, 11149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23870058 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-15)*0*(-2)\/(-6). Solve 232 = -29*p - m*p for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k + 8. Suppose 2 + 3 = -g. Let s be v(g). Solve s*d + 6 = d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -109027*g**6 + 118350*g**2 wrt g?\nAnswer: -13083240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -54 (base 16) to base 14\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.967677 to 0 dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -78639 + 136112. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46885?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.1, -11, -5, 24, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4984, -4998, -5012, -5026, -5040?\n\"Answer: -14*k - 4970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31970?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1866*q + 1880*q - 83496 = 0. What is the highest common factor of q and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((101\/202)\/(1\/(-2)))\/((-35)\/(-2)).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 17 = 2. Find the common denominator of -3\/5 and 654\/(-9)*o\/(-20).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 1) + 5 - (-7 + 8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 8*o + 6*o**2 - 5*o**2 - 2*o**2 + 8 + 5. Calculate b(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0*(-4)\/(-12))\/(5\/(-1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 4*u**3 - 1. Let p be f(1). Suppose -p*z = -7*z + 16. What is the remainder when 9 is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3\/4 (b) -22 (c) 4 (d) -1\/3 (e) 0.2 (f) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -512*k**3 + 123*k**3 - 146*k**3.\nAnswer: -535*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*p**5\/7 - 3*p**4 + 6*p**3\/7 = 0. Calculate p.\nAnswer: -1, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 12:53 AM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -748*u - 4015 = 473 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -704 to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h = 202283 - 30347. Does 18 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-24)\/(-20))\/((-6)\/(-20)). Suppose 3*a - 4 = 4*c - 0*a, 3*c - 4*a = -10. Solve -j*v = -2*v - c for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 77 + -50. Suppose p*q = 14072 + 1048. What are the prime factors of q?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 195 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 316*l**3 - 572?\nAnswer: 948*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -540454?\nAnswer: -540503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (-10 - (-8 - -2))) + 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.475 - 1.5. Let m = 0.01 + z. Round m to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -40606 + -1126?\nAnswer: -42035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 d when two letters picked without replacement from pjpjd.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 338941540 by 24210110.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 6580402.2ms?\nAnswer: 1.8278895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(13) + 2)**2*5.\nAnswer: 60*sqrt(13) + 255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -59 in 5, 1, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5889, 50100, 170103, 403794, 789069, 1363824?\nAnswer: 2165955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/5? (a) 3 (b) 1 (c) -2\/3 (d) -2\/57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of z**4\/12 + z. Let x(t) = 4*t**2. Calculate x(i(y)).\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) -3 (c) 45368\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 159539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 7*y**2\/10 + 28557997*y\/5 - 8159428\/5 = 0.\nAnswer: -8159428, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -30? (a) -1 (b) 0.02 (c) 5\/3 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7759056 a multiple of 872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*z + 4*r - 0*r, 0 = -2*r + 8. Suppose 6 = z*a - 34. Suppose c = -0*c + a. What is the lowest common multiple of 8 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**3\/9 - 282275306*l**2\/9 - 564550606*l\/9 - 282275302\/9 = 0. Calculate l.\nAnswer: -141137651, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-120)\/(-4))\/5 + 2. Suppose -o - o + m = 0. Solve o = 3*x - 4*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/((-936)\/(-16))*2\/2.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -98*y + 3243. Does 6 divide m(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 2*l - 31. Calculate f(0).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3712904 is divided by 928213.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 + 6a?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -51 - -71. Calculate the remainder when d is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 5*k + 1236 = -1724, -2*l + 1149 = 3*k. What is the greatest common divisor of l and 360?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3336 is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3811*l - 5464 = -497*l - 28800 - 3176 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 0 + 8. Suppose -3*i + 2 = -2*i. Let p be 4\/6 + i\/6. Sort j, p, 3 in ascending order.\nAnswer: j, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 3) to base 6\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 75 by -75.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -4 + 3 + 3 + y**2 + 2 + 7*y. Let n be o(-6). Sort -1, n, -1\/3.\nAnswer: n, -1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1263 * -5.\nAnswer: -6315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/8 and 4\/(-34) - -30*4655\/1318809?\nAnswer: 10888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-41 - 65518\/(-1599))*-30. Find q, given that x*q**2 + 4\/13*q + 0 = 0.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32.79 + 32.0395. What is y rounded to two dps?\nAnswer: -0.75","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 397188\/77 + 24\/(-84)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 4*m + 17 - 541, 0 = 2*n - 4*m - 292. List the prime factors of n.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 86*j**6 + 2*j**4 - 3*j**2 - 9.\nAnswer: 10320*j**3 + 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*t**4 + 201*t**3 + 933*t**2 - 2001*t + 858 = 0. Calculate t.\nAnswer: -13, -11, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 10:18 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -7 + (-1 - (-50)\/6). Suppose -4*n + 12 = 4*x - 4, 3*x - 3*n = 18. What is the third biggest value in 3, x, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2402635?\nAnswer: 5, 480527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14036.\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 3 (c) -1\/29 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -618919 + 1176804. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 203 or 206?\nAnswer: 206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55 and 297.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -168 + 173. Determine p so that 8*p - s*p**2 - 2*p**2 - 36*p + 3*p**2 - 48 = 0.\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 6. Let s = -0.034 + 0.634. Let w = -0.4 - s. What is the closest to w in -3\/2, o, -4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 24 = 3*t, -3*a + 7*t - 4*t = -72. Let y be (3 + 1)\/((-5)\/(-240)). Calculate the highest common divisor of y and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - 17*s - 56. What is x(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**2*k**3 - 2*a**2*k**2 + 38715*a**2*k + 2*a**2 + 5*a*k**2 - 9*a*k - 5258*k**3 - 2*k wrt a?\nAnswer: -2*k**3 - 4*k**2 + 77430*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 290.01502 - 290. What is u rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(48) + 1 + -2 - ((sqrt(300) - sqrt(300)*1*-1 - sqrt(300)) + (-3 + 2*sqrt(300) - sqrt(300))))**2.\nAnswer: 64*sqrt(3) + 772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41913?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 486013 and 391?\nAnswer: 486013","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1634 and 152171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j - 39. Suppose -s - 30 = -6*s. Let k = s + -29. Is m(k) a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*g + 2459 - 2319. Let f(x) = 2*x + 3 + 3*x - 2 - x**2. Give f(g).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 34 = -3*m, i = -3*m + 13 + 24. Suppose -t + 1 = 0, 2*t - 151 = -4*f + 91. What is the highest common factor of f and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25597663607 + 2239.\nAnswer: 25597665846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12862 + 12861.951304. What is w rounded to 3 dps?\nAnswer: -0.049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -2*g - 25. Let i be (1 + -5)\/((-2)\/g). Let q = 1 - -2. Solve 5 = q*l - i for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 86388 and 460?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*a**3 + 30*a**2 - 244724 - 2*a - 3*a**6 + 0*a**4 - a**4 + a**4 - 3*a**5 + 244705 wrt a?\nAnswer: -360*a**3 - 180*a**2 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.4 + -6.6. Let k = -5 - f. What is the nearest to -2\/7 in 0.3, k, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90182250 divided by -201750.\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -9 + (0 - 1) - -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -722, -877, -1032, -1187, -1342, -1497?\n\"Answer: -155*c - 567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2466476*g**5 - 8003191*g wrt g?\nAnswer: -49329520*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 6*a - 2*a = 0, 3*h + 5*a = 2. Let o = 49 + -44. Suppose h*n + 4*t = 72, o*n - 2*n = -2*t + 58. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -93 - -90. Let r be (-3)\/12 - 7\/(-12). What is the nearest to o in -5, r, -0.01?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k - 6*w + 8*w = 6, -4*k = 5*w + 33 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 148*t**5 - 5*t**2 - 163*t wrt t?\nAnswer: 8880*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -6*t**2 + 5. Let i(u) = 5*u**2 - 4. Let p(n) = 5*i(n) + 4*z(n). Let w(b) = 3*b - 7. Let g(j) = j - 3. Let d(l) = 14*g(l) - 6*w(l). What is d(p(o))?\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 25*z - 8. Is 23 a factor of i(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1 (b) -0.042 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 o when four letters picked without replacement from ssocacsacc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 8*s**2 - 7*s + 6. Let t be (-10)\/315*-14 + 150\/27. Let y(k) = -k**2 + k - 1. Give t*y(h) + l(h).\nAnswer: 2*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2631\/74 + 71\/2. Let x = 92\/333 + w. Which is the closest to -3? (a) x (b) -1\/2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -2. Let n(z) = -y*z**2 + 0*z**2 + 5*z**2. Let f(q) be the second derivative of -2*q**3\/3 - 5*q. Calculate n(f(h)).\nAnswer: 32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*z**2 + 81*z - 40*z - 31*z - 26*z**2 + 102*z to the form g*z**2 + k*z + y and give k.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 2 - 2*i + 1970*i**2 - 2020*i**2 - i**3 + 0*i**3 as t + z*i + m*i**3 + a*i**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + -2. Let f be (-2)\/(-1) - 815\/a. Suppose f = 2*l + l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -258326, -258418, -258572, -258788?\nAnswer: -259066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from mmemmemeeemm?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 5832*l**4 + 293976*l**3 - 487486*l**2 - 235004*l - 25168 = 0. What is l?\nAnswer: -52, -11\/54, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 66 - 204 + 3*k**2 - 5*k**2 + 0*k**2 - 6*k**2 in the form h + m*k + i*k**2 and give h.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-14)\/8 - -3)*(-6)\/(-5). Let k(j) be the first derivative of 5*j**2 - 1 + i*j**4 + 2*j + 14\/3*j**3. Factor k(w).\nAnswer: 2*(w + 1)**2*(3*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 42\/5 of a kilometer?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(576) + sqrt(9) - sqrt(9))\/sqrt(3) - ((sqrt(192) + -1 - sqrt(192)) + -3 + sqrt(192)).\nAnswer: 4 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -4 - d**3 - d - 9*d - 10*d**2 + 20*d. What are the prime factors of k(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 2, 79378.35, 2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 63974 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -24*u**3 + u + 1. Suppose 0 = -2*j - 2*q + 12, 4*q = 2*j + 3*j - 12. Suppose 3*h - 5*k - 12 = 0, -2*h + j*h + 17 = -5*k. Is 10 a factor of z(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4725\/(-4500))\/(6\/(-5))?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 356802?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/12 and (42\/16)\/(99\/42 + -3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8114 divided by -4057\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -69*s. Let h(a) = -149*a**2 - 2*a. Calculate m(h(v)).\nAnswer: 10281*v**2 + 138*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = -5*v + 3*f - 7*f - 20, 5*f - 4*f = -4*f + 25 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 52*f**3 - f**2 + 14*f - 14. Let h(q) = -53*q**3 + q**2 - 12*q + 12. Calculate 7*h(d) + 6*u(d).\nAnswer: -59*d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -136 - -3426675980\nAnswer: 3426675844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 106, -1\/4, -0.53, 2, -1\/18?\nAnswer: 106","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-144)\/(-54)*3\/(-2)*-1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -686, -1307, -1862, -2345, -2750, -3071?\n\"Answer: o**3 + 27*o**2 - 709*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/15*27\/(-18)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 13*l + 6. Let b be n(0). Suppose -b*u - 21 = -45. Solve -f + u*s = -21 + 4, -4*s = -5*f + 21 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100010100100001011111 (base 2) to base 7.\nAnswer: 36311205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence so when two letters picked without replacement from {s: 2, y: 5, t: 5, o: 1, p: 2, g: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/52 - (-11)\/(286\/(-152)). Let i be (l\/(-5))\/(84\/280). Solve -i*t + 33 - 13 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2 + 6 - 33*b - 38 - 10. Is m(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0*a - 6*a + 3*a)*(0*a + 2*a - a) - 3*a + 3*a + a**2.\nAnswer: -2*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1246792372?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-2)*(-28)\/(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5951843990 to the power of 1\/2, to the nearest integer?\nAnswer: 77148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 4*m**2 - 81*m + 632. Is k(7) a multiple of 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r*r**(1\/3))*r**0)**(-47)*(r**(-8)*r**6)\/(r\/(r*r**4\/r*r)*r\/r**(-1\/4)) assuming r is positive.\nAnswer: r**(-367\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2296874?\nAnswer: 2, 1148437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -9*p**3 + 10*p**2 - 17*p + 8. Let x(j) = -6*j**3 + 7*j**2 - 11*j + 5. Let r(v) = -5*w(v) + 8*x(v). Factor r(q).\nAnswer: -3*q*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -121*a - 94*a**2 + 96*a**2 + 41*a - 51*a to the form b*a**2 + g*a + m and give g.\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**3\/j))\/j**(2\/3))\/(j**(-5)\/(j\/(j\/j**3))) assuming j is positive.\nAnswer: j**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 d when two letters picked without replacement from {d: 16, e: 3, c: 1}?\nAnswer: 24\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78866318 is divided by 37?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0031473505 rounded to five dps?\nAnswer: -0.00315","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1098*q = 1015*q - 1494 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 86*t**2 + 221*t + 345. Is r(-83) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/6)\/((-15)\/12)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (103 + 105 + 157 + 23)*(130 - 256 + 131 + n) to l + j*n and give l.\nAnswer: 1940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o + 59. Let k(m) = 5*m + 8. Let l(d) = -3*d - 5. Let a(t) = -5*k(t) - 8*l(t). What is a(x(h))?\nAnswer: 2*h - 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of 3433*o**2\/2 + 2565*o - 3511. Differentiate b(s) wrt s.\nAnswer: 3433","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w = 12*w - 3100. Round w to the nearest 100.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*o - 57 = -19 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 + 26 + -4 + 3. Solve -8*l - 4*h = -3*l - n, -l = h - 6 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8743281 and 19041?\nAnswer: 1731","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of 4*p**3\/3 + 26. Let t(f) = -2*f. Give t(m(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 2*i + 41 - 76 + 39 = 0, k = -2*i + 20 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25477432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -1682*t**3\/9 - 21286*t**2\/9 + 7490*t\/9 - 650\/9 = 0.\nAnswer: -13, 5\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 - 4)*(0 + 0 + 4*o) - 3*o + 726 + 5*o - 572)*(-7*o + o + o + (2 - 1 + 1)*(3 - 3 - o)).\nAnswer: 70*o**2 - 1078*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 8. Let b be h(0). Let p(c) = 0*c**2 + 2*c + 10 - 5*c - c**2 - 1 + 9*c. Calculate p(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 + 30 - 1448*n**3.\nAnswer: -1448*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (162\/(-10))\/((-7524)\/16720).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 396001939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 187*s - 90. Let r(a) = -17*a - 2. Let z(p) = -h(p) - 10*r(p). Determine z(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-3 + 5)\/(3*2\/20484))\/1?\nAnswer: 2, 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1705 divided by -24\nAnswer: -1705\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 805?\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29 - (-46 - -8)) + -32.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 747 a factor of 201035660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89, 154, 219, 284, 349?\nAnswer: 414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*x - 746 = -3*b + 65*x, -4*b + 952 = 4*x. What is the closest to -2 in b, 2\/3, -2, 1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - 9. Let x = c - -20. Let b = 7.00006 - x. Round b to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*f + 54 - 3\/2*f**2.\nAnswer: -3*(f - 6)*(f + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -2, 0.3, -1\/16, 0.028, -5?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 93972228 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 11:53 PM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nm when two letters picked without replacement from {m: 14, n: 4}.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 13 = -68. Let t be -12 + l - (0 - 4). Suppose 3*p + 2*p = 25, -17 = t*f - p. Let h(d) = -d**3 - 5*d**2 - 2*d + 3. Determine h(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.6 and 1847178814.1571?\nAnswer: 1847178813.5571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 14183081 and -2?\nAnswer: 14183083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*p - 11 + 5 = 0, -3*g + 29 = -5*p. Let m(r) = 62*r**2 + 16*r - 12. Let u be m(g). Calculate the greatest common divisor of 22 and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 6 = -6*p. Solve -3*l - 5 = -p*t, 5*t - 2*l = -6 - 9 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/4 - 1935*u\/4 + 2907\/2.\nAnswer: -(u - 3)*(u + 1938)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 27 = 3*v, -7*c + 19 = -4*c - 2*v for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9505.879 litres in millilitres?\nAnswer: 9505879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 20241382.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2568 and 44940.\nAnswer: 89880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1007400614?\nAnswer: 2, 11, 31, 1477127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2782 and 988?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -25, 4, 0.1, 91?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (214 - 311) + -2 + (35 - 0)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.6*-0.013342.\nAnswer: -0.0346892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 4*m**2 + 13*m + 2. Let q be n(-6). Let d be (0\/(0 + -1))\/(-3). Let a = -5 - d. Are q and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.86 + 0.14. Which is the smallest value? (a) -1 (b) -0.4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xhxh when four letters picked without replacement from xhxxhxxshxxxxxe.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v**2 + 86500*v = 0 for v.\nAnswer: 0, 17300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d + 1. Let p(m) = 15 - m - 9 + 2. Let y(h) = -4*a(h) + p(h). Calculate y(5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 2953265 to the power of 1\/3, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(2\/7)*f**(2\/5)*((f**5*f)\/f)\/(f*f**7\/f))\/(f\/f**(2\/9)*f*f**0)**0 assuming f is positive.\nAnswer: f**(24\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136)*2*6 + sqrt(136))\/((sqrt(392) - -2*sqrt(392)) + sqrt(392)) - 5*-3*sqrt(1700)*1)**2.\nAnswer: 301739273\/784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2. Let h(i) = -i + 15. Calculate h(p(z)).\nAnswer: z**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1285820*b**4 + 662420*b?\nAnswer: -15429840*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(104\/130*(-36)\/144)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -943 (base 10) to base 11\nAnswer: -788","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 167 (b) -0.4 (c) 0.2 (d) 35 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/sqrt(2)*-2)\/(sqrt(700) + sqrt(700)*1).\nAnswer: -sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33732 + -33731. Let b(d) be the third derivative of d**5\/60 - d**4\/8 - 2*d**3\/3 + d**2. Let a be b(4). Solve -r - f + 6 = a for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1045693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -271169, -271147, -271127, -271109, -271093, -271079, -271067?\n\"Answer: -n**2 + 25*n - 271193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18295575 and 223815.\nAnswer: 5205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 68 - 52 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.2 (b) -3 (c) -2 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*z = 208 - 826 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1700 (b) 19 (c) -3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/5 of a hour?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -876782 - 32.88329?\nAnswer: -876814.88329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -15114?\nAnswer: 15114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2391*b = -2390*b - 2*i - 24, -2*b + 34 = 3*i for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of b**5\/20 - 2*b**4\/3 - 5*b**3\/3 - b**2 - 3*b. Let t be c(9). Let q = t + 24. What are the prime factors of q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a hour?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5691 - 3791. List the prime factors of j.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 19*d - 1732. Let b be x(93). Solve 30*i - 10 = b*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -a + 1. Let j(l) = l**2 + 15*l + 1. Let z(g) = -g**2 - 23*g - 1. Let s(m) = 8*j(m) + 5*z(m). Is s(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*4\/200)\/(51\/(-85)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 341 - 89?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**3 + 7*p**2 - 10*p - 7. Let a(i) = i**2 + 49*i - 1. Let n(s) = 10*s**2 + 440*s - 10. Let z(m) = -9*a(m) + n(m). What is -t(o) + 5*z(o)?\nAnswer: 2*o**3 - 2*o**2 + 5*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 4*q = 75, -3703*v + 3708*v - 120 = 5*q for v.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -6.1463968?\nAnswer: 0.61463968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3 + f**3 - 9*f - 7*f**2 - 2*f**3 - 6. Calculate the remainder when 25 is divided by x(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-97*(-100)\/(-12610))\/(44\/26)?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 74 + -71. Which is the closest to -0.2? (a) -7 (b) 4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/2*8\/(-112). Let t(y) = 3 + 2*y**2 - 11 + 4*y - y**2. Let v be t(-6). Which is smaller: v or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008776 rounded to five decimal places?\nAnswer: -0.00088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 29 - 4)*(-1 + 2 + 2)*(-4*u + u + 5*u).\nAnswer: -144*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/5 + 168268*p\/5 + 168269\/5.\nAnswer: -(p - 168269)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*n = 8 + 40 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1310414 (base 7) in base 8?\nAnswer: -515266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*0.5068\nAnswer: -0.2534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, 2\/3, -1\/10, 10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002012 + -1?\nAnswer: 1002011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/574 and -43\/18.\nAnswer: 5166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 118 - 105\/4*g**4 + 49*g**5 - 150*g**2 - 610\/3*g**3 - 40*g. Factor u(f).\nAnswer: 5*(f - 2)*(f + 1)*(7*f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -476*y + 482*y + 36 = 0 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7829683819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 5*z - 48 = -9*j, 2*z + 3*j - 9 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1825342\/15 - -121778. Is 88 <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95679.68m in micrometers?\nAnswer: 95679680000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**3 - 601*x**2 - 468*x + 50256. Determine r(301).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, 4, 0, -2\/5, 6\/13?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -16. Let h(m) = -m**3 + 5*m**2 - 4*m - 7. Let w be h(d). Is 19 a factor of (-6)\/w - 680\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2098387 a multiple of 685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - -55. Suppose 5*n - 63 = -2*d + 22, 29 = n - 2*d. What is the remainder when f is divided by n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 4:59 AM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*m*q**3*v**2 + 4*m*q**3 - m - 8*q**3*v + 14*v**2 with respect to m.\nAnswer: 11*q**3*v**2 + 4*q**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 81*n**2*o + 5*n**2 - 7*n + 6688*o**4 - 2669 wrt o?\nAnswer: 81*n**2 + 26752*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2426*s**2 + 157*s - 3843. Let k be q(77). What is k rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (81\/(-15))\/(1248\/(-2080))*6\/2?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -211 - -210.99999988. Round k to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.6 times -68\nAnswer: -108.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 16*z - 16. Calculate h(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ovw when three letters picked without replacement from {h: 4, o: 5, v: 3, w: 7}.\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - 22. Let h = j + 31. Solve -k - k = h for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-14) - 1)*(6536\/(-38) + 76 + 95).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1420.\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0)*(-5*w + w + 2*w) - 4*w + 0*w + 3*w + 5*w - 4*w + w + (w - 2*w + 3*w)*(-3 + 2 + 0) - 2*w - 4 + 4 - 3*w + 3*w - w - 19 + 19 - 3*w.\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2635561 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a - 12. Let i(c) = c**2. Give i(l(p)).\nAnswer: 4*p**2 - 48*p + 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1\/5, 4, 0.1 in ascending order.\nAnswer: -1\/5, 0.1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + -29 + 0 + 23?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37.7 - -38.1. Which is the closest to -2\/3? (a) 0 (b) 28\/13 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31090765 and 995.\nAnswer: 995","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -36549 divided by 1\nAnswer: -36549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2031, 2025, 2009, 1977, 1923, 1841, 1725, 1569?\n\"Answer: -n**3 + n**2 - 2*n + 2033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 724\/16 + (-3)\/12 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 16070 (b) -5 (c) -2\/7 (d) -1 (e) 17\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 113 = x. Suppose -4*p + 2*p + 109 = 5*k, 5*k - x = -4*p. Let d = 88979 + -88813. What is the remainder when d is divided by k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33\/4 or 0.93?\nAnswer: 0.93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(56) + (sqrt(336) + (-1*sqrt(336) - sqrt(336)))\/sqrt(6))\/((sqrt(32) + sqrt(8))*2) + 5)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -21 - 3*u**2 - 2*u**2 + 5*u**2 - u**2 - 14*u. What are the prime factors of y(-9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -458828 times 86?\nAnswer: -39459208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69128 is divided by 17282?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10.8 + -3.25. Let n = -0.35 - -14.35. Let d = n + i. Put -2\/3, -0.5, d in decreasing order.\nAnswer: d, -0.5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.7 - 1. Let p = 8.64 + -10.2. Let z = 1.36 + p. Which is the closest to z? (a) 4 (b) -2\/7 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (18\/(-45))\/((21\/(-90))\/7). Suppose 0 = -f*k + 76 + 44. Solve -k = -2*u - 4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -204*w + 117*w - 257*w - 59*w as l*w + f and give l.\nAnswer: -403","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4500972 + r**3 + 4500972.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2338 times -633?\nAnswer: -1479954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 5 + 4 + 0 + 0*n**3 + n**2. What is x(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 923768.2 milliseconds in microseconds?\nAnswer: 923768200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21.75 + 0.25. Let x = z - 21.9956. What is x rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -706*f + 706*f + 8*f**3 - 19*f**2 + (-f + 3*f + 0*f)*(-f**2 + 0*f**2 - f**2) to the form t*f**3 + l*f + a + h*f**2 and give h.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 45013*m + 45011*m + 14 = 0, -5*r + 5 = -5*m for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -14*g - 464. Let o be d(-34). Let t be 2\/(-16) - (-492)\/96. Suppose 24 = t*p - p. Solve p*u - 2*u = -o for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 64*u**2 + 87*u - 1517. Calculate j(63).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - c + 10, 0 = 4*y + 2*c - 2 - 6. Suppose -y*p + 22 = -p. Let h(q) = -169*q - 2354. What is the lowest common multiple of h(-14) and p?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4626848080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 9*h**2 - h + 12. Let k be b(9). Let g(q) = -7 + k*q + 3 + q. Let d(s) = -9*s + 9. What is -6*d(n) - 14*g(n)?\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 11, v: 3}. Give prob of sequence iv.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**2\/3 - 262946*i\/3 + 17285149729\/3 = 0.\nAnswer: 131473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22 - 24?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6160 and 89005?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 9:48 AM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -143 (base 7) in base 11?\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(832)*4)**2.\nAnswer: -128*sqrt(13) + 13316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 7 = -8*m. Let l be 130\/164 - 1\/2. Let d = l - 218\/1025. Is m >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0*q - 11 = 0. What is the lowest common multiple of q and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 4*k + 2. Let n be y(3). Let o be n\/(-2) + (-9)\/(-2). Suppose 53 = o*i - 17. Is i a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2057, 8466, 19521, 35522, 56769?\n\"Answer: 50*l**3 + 2023*l**2 - 10*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*p - 87*p**4 - 10*p + 84*p**4)*(6 - 2 + 0).\nAnswer: -12*p**4 + 16*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 267607425 to the nearest integer?\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*p**2 - 2*p**2 + 0*p**2 + (-2*p + 2*p - 2*p)*(-3 - 5*p + 3))*(-15*p**2 + 5*p - 5*p).\nAnswer: -15*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k - k + 0*k. Let n(g) = -6 + 12 - 3*g**2 - 6. Determine n(c(w)).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -21078423500022 and -0.5?\nAnswer: 21078423500021.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35 - -1) + (296 - 272)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d - 6. Calculate b(9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z**3 - 52*z**2 + 117*z + 385. Give q(-19).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 17. Let q(i) = i**2 - 7*i - 13. Let b be q(g). Let s(c) = 3*c + 3. Let h(n) = 17*n + 22. Let l(k) = -h(k) + 6*s(k). Give l(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10008 divided by -5004.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of 3*t**6\/20 - t**5\/30 - t**4\/12 + 7*t**3\/6 - 105*t**2. What is the tens digit of p(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*x**2 - 32*x**2 + 30*x**2 - 24 to the form s*x**2 + b*x + l and give l.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 0.23, -5, -7, -1\/4?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) 0.04 (c) 5 (d) 141 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2 - 4*h - 2. What is the tens digit of t(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**2 - 5*j + j**2 + 3 + 1 + 2*j**2. Let v be c(3). Let o(r) = 2*r**2 + 2*r - 1. Give o(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/51)\/((-3)\/(27\/4))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 569*d + 75 = -564*d, 2*d = 6 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 4*m - 88, -m = -3*m - 3*r + 29. Solve -5*v = -3*b - m, 0*b - 3*b - 17 = -4*v for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + y**2 + 4*y + 4. Let x be f(-2). Let i = -57 + 61. Factor -16 - i*o**3 + 4*o**2 + 16 + x*o.\nAnswer: -4*o*(o - 2)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(6\/5))**(-7\/6)*(d*(d*d**(5\/2)*d)\/d*d*d)**30)**38 assuming d is positive.\nAnswer: d**(36784\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 250 and 74034.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0924149 to 3 dps.\nAnswer: -0.092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 0 - (-170 - (-1 - (15 - -39))).\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -1. Let w = -1 - p. Solve w = -6*r + r + 20 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - s - 40, 2*h - 2*s - s = 3. Suppose -h = -i - 2*i. Let c = -3.644 - -3.584. Which is bigger: i or c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n + 32*n = -19*n - 18*n. Let r(g) be the third derivative of 11\/6*g**4 + 17\/30*g**6 + 7\/5*g**5 + 2\/21*g**7 + n*g + 4\/3*g**3 + 7*g**2 + 0. Factor r(b).\nAnswer: 4*(b + 1)**3*(5*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g = 32 + 8. Suppose g*z = -l + 10, -69 = -6*l + 3*l + z. Calculate the greatest common divisor of l and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**2*r*r)\/r)\/r**(4\/11)*(r*r\/(r**(-1\/8)*r))\/(r\/(r*r*r**(4\/15))) assuming r is positive.\nAnswer: r**(6637\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.25944 tonnes to micrograms.\nAnswer: 70259440000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -0.191\nAnswer: -0.0573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28*(-15)\/24*(-1436)\/32310?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75023, -75026, -75039, -75068, -75119?\nAnswer: -75198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/361 and 65\/944376.\nAnswer: 944376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2001 is divided by 37.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*u**2 + 21*u**2 + 46*u**2 + 77*u**2 + 87*u**2.\nAnswer: 265*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*i**2 - 83 + 83 as y*i**2 + u + x*i and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/9 - 6091286*o**2\/9 + 24365120*o\/9 - 8121704\/3.\nAnswer: 2*(o - 3045639)*(o - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (1 + (2 - 4 - -3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245489 is divided by 534?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 2\/769, 19, 213?\nAnswer: 2\/769","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + t)*(-27*t - 43*t - 31*t - 4 + 34*t) as h + q*t + u*t**2 and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (5 + 0 - (48 - 38 - -8))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1124 - -0.5124. Which is the fourth biggest value? (a) 1\/2 (b) -0.4 (c) -203 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d - 611 = 775. Is 2 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1150\/5 + 0 + 0 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1914766*v + 1894*v**3 - 1914766*v - 1 to the form s*v**3 + p + n*v**2 + c*v and give s.\nAnswer: 1894","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -4371010 < -4371010?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13113120*k**3*x - 12*k**3 + 3*k*x**2 - 270323*k wrt x?\nAnswer: -13113120*k**3 + 6*k*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of s**10\/378000 + s**9\/4200 - s**5\/15 + 5*s**4\/8 + 84*s**2. Let u(n) be the third derivative of k(n). Factor u(q).\nAnswer: 2*q**3*(q + 36)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4 + 47*k**3 + 498*k**2 - 10188*k + 34344.\nAnswer: -(k - 53)*(k - 6)**2*(k + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3753838559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -201, -1, 3, 1, 8, -4, -2 in decreasing order.\nAnswer: 8, 3, 1, -1, -2, -4, -201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 6418*p**2 - 31972*p**2 + 5465*p**2 - 20492*p**2 in the form y*p + u*p**2 + l and give u.\nAnswer: -40581","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -4*p**2 + 60*p - 104 = 0.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.05 or -1\/30?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20658391.\nAnswer: 13, 9403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2. Let p(x) = x**2. Let i(q) = -2*p(q) - 6*s(q). Let f(a) = -3*a. Determine i(f(n)).\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**3 - 2*t**3 + 2*t**4)*(-3 - 3868*t + 3 + 5505*t).\nAnswer: 3274*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 + -6 - 7) + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5917, 5897, 5865, 5815, 5741, 5637, 5497?\n\"Answer: -v**3 - 13*v + 5931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -62*z**2 - 87*z**2 - 8*z**2 - 24*z**2 in the form x + s*z**2 + d*z and give s.\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 52, 100, 150, 202, 256, 312?\n\"Answer: x**2 + 45*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1656.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1680)\/(-63) + 2\/(-3). What is the greatest common divisor of 39 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/6*(-1)\/((-6)\/4)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2034 + -104221330?\nAnswer: -104214241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -3.623071 and -7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 30218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 1 = -17. Let d(o) = o**3 + 10*o**2 - 11*o - 40. Does 20 divide d(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6 - (2 - 3 - 0). Let r(y) = -y**3 - 4*y**2 + 4*y + 4. Let a be r(h). What is the second derivative of 0*d - 2*d - 2*d**5 - a*d**5 wrt d?\nAnswer: -220*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -496 - 50. Let r = b + 297. Let u = r + 249.0000181. Round u to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -272, -1277, -2946, -5273, -8252, -11877?\n\"Answer: b**3 - 338*b**2 + 2*b + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 8*f - 11. Let p be x(5). Let r(m) = m**2 - 2*m - 8. Let s be r(p). Differentiate -i**2 - 7 - 3*i**2 + s*i**2 with respect to i.\nAnswer: -8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 33 = 5*m, 7*n = 2*n - 3*m + 165. Calculate the remainder when 64 is divided by n.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-3)*3*2. Let m(x) = 4*x + 5. Let w be m(d). Let t be (-4)\/(-14) - (-162)\/w. Solve -3*i + t = -3*l + 5*l, -1 = -i + l for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*v - 121 + 10821 = 0. What is the least common multiple of v and 48?\nAnswer: 5136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3299, 6596, 9893, 13190?\nAnswer: 16487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.44846735 rounded to three dps?\nAnswer: 62.448","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 14595377 and -0.316.\nAnswer: 14595376.684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of 5*g**4\/6 - g. Let k(h) be the third derivative of h**5\/15 + 2*h**2 + h + 114. Give k(p(t)).\nAnswer: 400*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 - (0 - -2))\/(6\/10). List the prime factors of (-8)\/14 + (m - (-6840)\/63).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -235 + 245. Calculate the highest common divisor of v and 185.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 90027? (a) 7 (b) 0.1 (c) -4 (d) 4\/7 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.4 + 10.245. Let q = x - -0.155. What is the closest to q in -3, -0.7, -3\/2?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80287?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 3*f + 2*m + 4, -10 = -5*f - m. Suppose 4*q - 28 = -f*q. Suppose q*h = -4*c + 4632, -3*h = -5*h + 2*c + 2320. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -4246.44784935?\nAnswer: -4238.44784935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 4*m**2 - 6*m + 3. Let y be v(-5). Suppose 0*l - 40 = y*l. Put 5, l, 4 in increasing order.\nAnswer: l, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58045861 a multiple of 728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/25 + 458698*i\/25 - 97793412\/25.\nAnswer: 2*(i - 213)*(i + 229562)\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 5 - ((-15 - -39) + -21).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5 + 5 = 0. Suppose -3*a - 3*f = -474, -k*a = -5*a - 2*f + 478. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -860\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62 - 62 - 311118*u**3.\nAnswer: -311118*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112, -93, -86, -103, -156?\nAnswer: -257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -121, 7, 296 in decreasing order.\nAnswer: 296, 7, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wgs when three letters picked without replacement from sogowgwrgoor.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -832, -847, -878, -931, -1012, -1127, -1282?\n\"Answer: -q**3 - 2*q**2 - 2*q - 827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1298 = 518*z - 1618 - 1228 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((30\/35)\/(-3))\/(-1)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -0 - 6. Suppose -5*k - w = 3*w - 28, -3*w - l = -2*k. Suppose 0*p - 3*p + 288 = k*h, h + p - 72 = 0. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55359, -110742, -166125, -221508, -276891, -332274?\nAnswer: -387657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -33*q + 298. Give g(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**3\/3 - 5419*u**2\/3 + 428470*u\/3 - 1627112\/3 = 0. Calculate u.\nAnswer: -5497, 4, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 850 > -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/320 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 355 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2*x - 32, -480*c = -485*c - 4*x + 216. Let p(m) = -2*m**2 + 4*m**2 - 1 - 2*m - 2. Calculate the remainder when c is divided by p(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75, 5, -12.\nAnswer: -75, -12, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 4, -3, -18 in ascending order.\nAnswer: -18, -3, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -3*h + 10*i - 12*i, 0 = -5*h - 4*i + 50. Solve 14 = h*c - 16 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 350975 divided by -4.\nAnswer: -350975\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.14 - 1.14. What is the third smallest value in -0.1, j, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.877 - -2.97. Round a to one decimal place.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*z - 9*z + 87 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/2 and -101\/59548.\nAnswer: 59548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(3\/(-816)*2). Let w be (-6)\/(-4)*x\/(-18). Is (-15)\/(-45) - w\/(-3) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -234232 - -1?\nAnswer: -234231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1531 - -1609.7135. Let u = -78.7 + t. What is u rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 4*h + 11, 0 = 4*l - 6*l - 4*h + 10. Suppose -l*t + 1 = -17. Solve -2*n - t = -d, -2*n + 2*d - 8 = n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91093.8 litres to millilitres.\nAnswer: 91093800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4246673693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -29, -8, 41, 112, 199, 296, 397, 496?\n\"Answer: -l**3 + 20*l**2 - 32*l - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 3 + (-5)\/1 + 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**3 - 16695620*v + 6*v**2 + 16695620*v.\nAnswer: v**3 + 6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -659 - -673. What is the biggest value in -23, -0.1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -14. Let m(x) = 25*x - 1. Let s be m(-4). Let g = -80 - s. Calculate the remainder when g is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 43*b**2 + 3699*b. Let j(g) = -4*g**2. Calculate k(j(p)).\nAnswer: 688*p**4 - 14796*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1544 or 1527?\nAnswer: 1544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23206 or -2172?\nAnswer: -2172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256 is divided by 52.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 112873322 - -8?\nAnswer: 112873331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 6*z**2 - 5*z + 5. Let n(x) = -11*x**2 + 11*x - 11. Let b(r) = -5*n(r) - 11*y(r). Let s(c) = 18*c + 20*c + 16*c + 2*c**2 - 54*c. Determine s(b(d)).\nAnswer: 242*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**2 - l. Give y(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3183 = 4*c, 5*c = 2*c - 2*p + 2389. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 315 a factor of 26527095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*j - 9*j + 0*j.\nAnswer: 11*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -75 + 75.2. Suppose -3*q + 8*q = 10. Which is the third smallest value? (a) q (b) h (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 15*q - 7. Let w be y(-12). Let s = w + 63. Let j = s - 13. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 119184097.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of 0*v**5 + 1\/60*v**6 + 0 + 14*v - 1\/24*v**4 + 0*v**3 + 0*v**2. Determine j, given that k(j) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 1 = 4*m + m, -4*k - 4*m + 20 = 0. Find the third derivative of 26*u**3 + 10*u**k + 35*u**3 + 58*u**2 - 61*u**3 wrt u.\nAnswer: 240*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 231534852 to the nearest integer?\nAnswer: 15216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 6092322 and -20 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 39583*c**3 - 2*c + 1. Let m be y(1). What is the derivative of -35*n**4 - 22 - m*n**2 + 39582*n**2 wrt n?\nAnswer: -140*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-5\/2)\/s*s\/(s\/s**26)*s assuming s is positive.\nAnswer: s**(47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58983386?\nAnswer: 2, 7, 11, 34819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -540*z - 1. Let g(l) = 2*l + 37. Calculate q(g(u)).\nAnswer: -1080*u - 19981","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5447*u**2 - 1097*u**2 + 2201 - 2367*u**2 + 1349*u**2 wrt u?\nAnswer: -15124*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/222 and 149\/38676.\nAnswer: 1431012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9241533 to the nearest integer?\nAnswer: 3040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -15348, -2\/15, 4\/3, 1, 5\/2, 11?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**2 + 20*w + 7. Let f(u) = u**2 - 10*u - 3. Let k(l) = -5*f(l) - 2*h(l). Suppose 3*x + 2*x = 30. Is k(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1662*f - 188*f + 149850 for f.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 53*d**2 - 65*d - 151. What is the tens digit of k(-54)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**3 + 3*u**3 - 1548*u**2 + 1545*u**2.\nAnswer: 8*u**3 - 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 11\/2 - (-4)\/(-8). Suppose -s*d - 4*z - 8 = -3*z, 3*d - z = 0. Let m = -0.2 - 0. Which is the nearest to 1? (a) d (b) m (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**3*j**3 - 5*f**3*j + 18*f**3 - 9*j**4 + j**2 wrt j.\nAnswer: 6*f**3 - 216*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 1 + -22 + -24 + 111.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 145 = -5*u. Suppose -3*c + 5*y = -c + 28, -3*c - u = -5*y. Let q be (c - -1)\/(6\/(-8)). Solve -2*o = -0*o - q for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -7. Suppose 2*t = 2*n - 150, l*t = -3*n + 301 - 81. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14419 + -14418. Solve 4*u = m - 5, 3*f + 3*u + 18 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76807360 and 10880?\nAnswer: 5440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 5 - ((-430)\/30 - (-4)\/(-6)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/(102\/(-18))*3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -2*d**6\/15 + d**5\/20 - 23*d**2\/2 + d - 14. Differentiate u(i) wrt i.\nAnswer: -16*i**3 + 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 3:43 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -120, -116, -110, -102, -92, -80?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11231 - 11095. Solve 21 = -23*f + u for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4231606 (base 7) to base 11\nAnswer: 31a796","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(sqrt(27)*-2) + (sqrt(160)\/sqrt(4))\/sqrt(8)*-3)**2.\nAnswer: 1805\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*((-25)\/(-30) + (-10)\/(-6)). Suppose 0*o = 3*o - 12, 0 = 4*u + f*o - 3096020. Round u to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 749, 768, 819, 902?\nAnswer: 1017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -0.032 (c) 4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-3 - -1) + -35 + 0 + 15 + -9.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2*j - 7699 = -75504, -5*j - 67805 = -5*i. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1635.1 - -296.9. Let p = c - 1940.59. Round p to one decimal place.\nAnswer: -8.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j + 7. Give x(19).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -9. Let b(o) = 4*o**m + 99 - 99. Let i(t) = 2*t**2. Calculate b(i(g)).\nAnswer: 16*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 611057 to the power of 1\/2, to the nearest integer?\nAnswer: 782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 5) to base 8\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -23*y**2. Let n(z) be the second derivative of z**3\/3 - z. What is r(n(a))?\nAnswer: -92*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 175\/107 + 3925\/5778. Find the common denominator of q and -121\/24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nsfsnfsnsngnf. What is prob of sequence nnng?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -181 - -108. Suppose k = -2*t - 1 - 62, 4*k + 267 = -5*t. Is l > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29\/39 - 71\/78. What is the nearest to -1\/2 in 3\/4, 3, a, -80?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -107 - -632. Suppose 21*s + v = 26*s. Which is bigger: 104 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159*a = 177*a - 6300. Calculate the lowest common multiple of 50 and a.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*s = 54*s. Solve 2*y + 3*i - 11 = s, 5*y - 4*i + 1 = 17 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkff when four letters picked without replacement from kfkkkksffkkfskks.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -11579, -23188, -34775, -46334, -57859, -69344, -80783?\n\"Answer: u**3 + 5*u**2 - 11631*u + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14408.\nAnswer: 2, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**2 + l. Calculate o(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**4 - 2*f**3 + 5*f**2 + 2*f + 3. Let j(d) = -14*d**4 - 14*d**3 + 36*d**2 + 14*d + 22. Let u(x) = -6*j(x) + 44*p(x). Factor u(a).\nAnswer: -4*a*(a - 1)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7248067 and 124943?\nAnswer: 1373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + -1 + -2*sqrt(1088))**2 + -4.\nAnswer: 26*sqrt(17) + 2870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1224 - -0.1224. Which is the nearest to 29? (a) y (b) 1\/4 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2425, -2443, -2481, -2539, -2617?\nAnswer: -2715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 527389 is divided by 287?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -5716*s**2 + 26300*s - 44. Let m(p) = 1905*p**2 - 8767*p + 16. Let t(q) = 4*l(q) + 11*m(q). Find the second derivative of t(f) wrt f.\nAnswer: -3818","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*n**3 + 106*n**3 + 197*n**3.\nAnswer: 331*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*o - 4*l + 2, l = 0. Suppose n - 52 = -o*n. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 - -13 - 13 - 44) + (1 - -1 - 8)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 5*m + 14. Let b be s(-6). Calculate the common denominator of b\/6 - (-5)\/(-10) and -91\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 264366 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 5*i - 6. Determine h(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194 is divided by 98?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.61, -0.1, -7.08?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201 = 40*t - 119 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.1 + -0.6. Suppose -32*t + 38 + 90 = 0. Let p be 2 + (0 - (2 - 1)). What is the nearest to p in 0.3, c, t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 407995*i**2*o - 10501*i**2 + 37*i*o - 20104*i wrt o.\nAnswer: 407995*i**2 + 37*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 4)*(-n + n - 2*n + n - n - 2*n + 3 - 2*n - 3 + (n - 5*n + 3*n)*(3 + 0 - 1) - 1 + 1 - 2*n - n + 3*n - 3*n + n - 3*n + n + 4*n + 0*n - 2*n).\nAnswer: -30*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4737 + 578. What are the prime factors of u?\nAnswer: 5, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 u when three letters picked without replacement from {l: 2, t: 1, r: 7, u: 5, i: 1}.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3840 and 3550464?\nAnswer: 17752320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7887.3 decades to millennia.\nAnswer: 78.873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -7*c**2 + 9*c - 15. Let k(u) = 3*u**2 - 5*u + 7. Let h(y) = 2*d(y) + 5*k(y). Let f be h(6). Let o(n) = -7*n. Is o(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 884.4176 litres in millilitres?\nAnswer: 884417.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 - -bb5b56?\nAnswer: bb5b4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -781 + 1358. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1166219266218+-151\nAnswer: 1166219266067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 - (5 + 2 + (22 + (13 - 27) - 15)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4015 - 30?\nAnswer: -4045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1966 != 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1895854788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3099486093\/140 - 153073126\/7. Let f = -271881 + d. Let z = f + 283. Find the common denominator of -21\/8 and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 20*u - 1320. Calculate w(67).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-39)\/26)\/(2\/4). Let b be (3\/4)\/r - (-147)\/12. What is the third biggest value in -1, 3\/5, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n + 3 - 3)*(2*n + n + 3*n) to q*n + i + h*n**2 and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u**2 - 4. Let q = -2 + 8. Let h(j) = j**2 - 1. Let v(f) = q*h(f) - n(f). Determine v(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 e when three letters picked without replacement from eibilkllbiibbiilbeib.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -67.04347 - -0.04347. What is the nearest to n in -1\/3, -2\/7, -2\/13, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/25886883 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 12*n - 20. Let m be k(14). Differentiate -8*p + m*p - 4 + p**2 wrt p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -50928073\/6 less than -8488011?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + d - 2*d)*(-2 + 5 - 1) - 258 + 258 + 90*d + (-2 - d + 2)*(4 - 3 + 0).\nAnswer: 87*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 223707977 times 0.5?\nAnswer: 111853988.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 1201.17\nAnswer: -3603.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from iiel.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q + 3*i - 1, 3*i + 2 + 3 = 2*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 97658 divided by 3042\nAnswer: 48829\/1521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 31*o**2 + 139248 + 6*o**2 - 133286 + 126*o**2 wrt o?\nAnswer: 326*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-174)\/90)\/(-29)*-30.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 367 equal to 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (152\/(-57))\/(((-16)\/4)\/(-24))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5 = 3*a, 0 = -5*o - 5*a - 40. What is the smallest common multiple of 11 and ((-28)\/(-8))\/(o\/(-6))?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + o = -7*g - 28, -15 = 5*o for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {v: 6, w: 13}?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, n: 3, c: 7, i: 2}. Give prob of sequence unii.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -6*l**2 + 6*l - 3. Let p(r) = -6*r**2 + 8*r - 4. Let v(a) = 3*p(a) - 4*x(a). Let n(f) = 12*f. Give v(n(b)).\nAnswer: 864*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6\/10 - (-13470)\/50?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-9))**28 assuming x is positive.\nAnswer: x**(-252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*q + 15 = 0, -68 = -5*d + 5*q + 37. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5831 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 942544 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -247518 (base 10) in base 7?\nAnswer: -2050425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -6*v - 12. Let h be y(-12). Suppose -4*s + s = -h. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 8*l**2 + 9*l + 16. Let b be (72\/48)\/(-2*(-3)\/(-28)). Let j(i) = -i**2 + 9*i - 3. What is the remainder when j(7) is divided by u(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55 - 54.99966. What is h rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*x - 94 - 599 = 0. What is the least common multiple of x and 1?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 1 + 108\/(-60))\/(23*(-10)\/12650)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 272769 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -25*o**7\/21 - 107*o**4\/12 + 94*o - 2. Find the third derivative of z(q) wrt q.\nAnswer: -3000*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/60 + (-4)\/(-3) + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*l + 3, 5*w + 29 = -4*l. Let k(b) = 0*b**2 - 34*b**3 - 2*b**2 - 73*b**3 + 7 + 3*b - 17. Let h be k(w). Round h to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.45 + 0.55. What is the third smallest value in d, 1, -2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4556101 (base 8) to base 14\nAnswer: 242641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4*d**2 - d - 1. Let u(v) = 7*v**2 + 2*v + 2. Suppose 0 = -z - 4*z. Let i be z + (-2)\/2 + 1. Let l be i - (1 + 7 - 2). Calculate l*u(s) - 11*x(s).\nAnswer: 2*s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1308788\/47 or -27848?\nAnswer: -1308788\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 34?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 3, -1, 5, 1, -29180 in descending order.\nAnswer: 17, 5, 3, 1, -1, -29180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/3 of a week?\nAnswer: 23520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**4 + 2157*k**3 + 2157*k**3 - 6458*k**3 + 186 + 2155*k**3 to h + a*k**4 + i*k**3 + w*k**2 + y*k and give h.\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 0 = -10. Let k be 0 + 4 + (0 - p). Is 48 - -3*k\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) -14.6 (b) 2\/21 (c) 0.3 (d) -0.2 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 10*q - 6*q + 13*q)*(5*q + q + 8*q**3 - 10*q**3) as z*q**4 + a*q**2 + l*q + h*q**3 + r and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((5 - -4 - 1) + (-1 - 1))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a day in minutes?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 283602 to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3095*y - 10*y**4 - 108 - 1550*y - 1544*y to the form m*y**4 + r*y**2 + j*y**3 + g*y + l and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 335*i - 8378. Calculate c(25).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*2\/4*(-4)\/(-8).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6393 + 9504 = 3*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 299 and 30446.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 98 and 784?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7212679493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 10*t**2 - 3*t + 24. Let m = 119 - 125. What is the remainder when a(m) is divided by 63?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 0)\/(809\/809) - -27?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**4\/5 + 19*y**3\/5 - 24*y**2 + 252*y\/5 = 0.\nAnswer: 0, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -163. Suppose 0*t + 107 = 2*t + c, -f = -3*t - 5*c. What are the prime factors of t?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 19594848 and 0.569003.\nAnswer: 19594848.569003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -5 + 0*r + 6*r - 4*r + r**2. Let w be v(-4). Suppose -12 = -w*b - 3*d, -d - 1 = b - 5*b. Is 0 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) 1\/43 (c) -5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(135\/36)*40\/32. Let c = -1 + 1.2. Let r = 57\/4 - 15. What is the third smallest value in r, 1, k, c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 8*a**2 + 3*a + 7. Determine q(-7).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -6*l + l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) 5 (c) 0.14 (d) -22 (e) -0.4 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = -0*x + 30. Let k be -1 + (-2 - -23*1). Calculate the greatest common divisor of k and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102332 (base 4) to base 9.\nAnswer: -1588","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-8) - 1122\/(-88). Let w(f) = 2*f**3 + 3*f**2 - 5*f. Let k be w(4). What is the highest common factor of k and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 525548668?\nAnswer: 2, 7307, 17981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65021, 64992, 64941, 64856, 64725, 64536, 64277, 63936?\nAnswer: 63501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(24)*-2)\/(sqrt(98)*-1 - sqrt(128)*2).\nAnswer: -12*sqrt(3)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 313\/2 + -3119\/20. What is the common denominator of c and ((-2)\/(-10))\/((-2)\/(-37))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 + 35. Let c = 51 + q. Suppose -3*l + l + c = -x, 2*l + x - 70 = 0. What is the remainder when l is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 957 + -994.2. Let c = -4.2 + -32.8. Let o = b - c. What is the nearest to -5 in -5\/3, o, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(3 + sqrt(612) + 0 + -5 + -5))**2.\nAnswer: -3024*sqrt(17) + 23796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -202*j**3 - 399*j**2 - 178*j - 353. Determine w(-2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0442, 0.3, 31\/613 in decreasing order.\nAnswer: 0.3, 31\/613, 0.0442","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 - -9 - -5 - -9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-5)\/(-7))\/(5*6\/(-105)))\/((-18)\/45)\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) - (2*sqrt(300) + sqrt(300) - sqrt(300)) - -5*sqrt(12)*1)\/(((sqrt(400)*-2 - sqrt(400)) + sqrt(400) + sqrt(16)*1 + sqrt(4))*-4).\nAnswer: -sqrt(3)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 2) + (3 - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -5*t**2. Let h(u) = 1365*u. Let s(l) = 9*l. Let z(o) = -3*h(o) + 441*s(o). Determine a(z(x)).\nAnswer: -79380*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10926641.\nAnswer: 11, 331, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/470 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (2 + -8)) + -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ftt when three letters picked without replacement from dtdttdfdddbddtbd.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 4*x**5 + 124*x**4 + 220*x**3 - 364*x**2 - 448*x + 464 = 0?\nAnswer: -29, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*b + 3*b**4 - 7*b)*(3 + 0 - 4)*(0*b - 6*b + 4*b)*(2 + 11 - 2) + (2*b**5 + 8*b**5 - 3*b**5)*(1 + 1 + 0).\nAnswer: 80*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2100 divided by 12.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 less than -0.02585?\nAnswer: -98.02585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5219*r**2 + 1 + 37292*r**2 - 42513*r**2.\nAnswer: -2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 9:40 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152 = -6*p - 122 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.945 - -0.055. Which is the second biggest value? (a) 0.2 (b) h (c) 6 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 0 + 2 + 7*r)*(0*r**4 + 2*r**4 + 0*r**4) - 1661*r - 15*r**5 + 1661*r - 4*r**4.\nAnswer: -7*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**(-2\/23)*z**(-1\/8) assuming z is positive.\nAnswer: z**(177\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 13 + j**2 + 18*j**2 - 18*j - 7*j**3 + 6*j**3. List the prime factors of c(18).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2880) + 2*sqrt(2880)*6)\/(5*sqrt(20)\/(-1*sqrt(5))).\nAnswer: -156*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 134581 to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94 divided by -128686.\nAnswer: 1\/1369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -1 + 0*c**4 - 5\/2*c**2 + 0*c**3 + 0*c**5 + 0*c - 1\/6*c**6. Find the second derivative of l(y) wrt y.\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -13, 7\/2, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 19 - 10) + 10?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 35\/10*(-4)\/(-7). Find the second derivative of x*u - 3*u**5 - 5*u - 5 + 5 wrt u.\nAnswer: -60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 371409*a*g**2 - 808266022*a + 970*g**2 wrt g?\nAnswer: 742818*a*g + 1940*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7580.22 - 7579. What is the nearest to 1 in k, 0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 0.693.\nAnswer: 0.2079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -9*z**2 + 3*z + 4. Let o be 4\/(-14) + (-66)\/14. Let h = 1 - 0. Let f(s) = -1 - 2*s**2 - h - 2*s + s**2 + 6*s**2. What is o*f(r) - 3*u(r)?\nAnswer: 2*r**2 + r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -33 and -8339680.\nAnswer: -8339713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -93 + 197. Let r = -99 + w. Solve 0 = 4*k - z + 21, -2*k - r*z + 37 = -5*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-99)\/121) + (-101)\/(-11).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 9473501.\nAnswer: -4736750.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1903 by 126.\nAnswer: 1903\/126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 4*f + f + 771 = 0, -5*r + 4*f + 956 = 0. What is the greatest common divisor of 12 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zdz when three letters picked without replacement from {d: 2, z: 6}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.13 from -1.7631.\nAnswer: -1.6331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 3*c + 69, -21*c - 24 = -2*j - 18*c. Calculate the highest common factor of 195 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/7)\/(2\/8834). Suppose -2*p + p - 3*h = -320, 4*p + 3*h = n. What is p rounded to the nearest 10?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36429 times -0.02\nAnswer: -728.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**3 - h**5 + 2*h**3)*(5 - 4 - 2)*(22 - 83 - 22).\nAnswer: -83*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242*l + 330 = -212*l for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/2 and -6 + (2 + -4)*(-2338)\/560.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u - 5*u - 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/45572448 and 163\/2112.\nAnswer: 1002593856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 370524 and 741048.\nAnswer: 741048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*(-10)\/25)\/((-1)\/15*6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4761*d**2 + 4807 with respect to d.\nAnswer: 9522*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 231011113 (base 4) to base 15\nAnswer: 39aad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22888812 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 363*p. Let c(d) be the third derivative of -d**5\/60 - 306*d**2. What is c(g(h))?\nAnswer: -131769*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22.1 - 23. Sort 0.4, g, -0.2.\nAnswer: g, -0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4224?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 1.2 (b) 8.9 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62249.1 kilograms to grams.\nAnswer: 62249100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/3)\/((m\/(((m\/m**(-4))\/m)\/m))\/m)*(m**(-2\/9))**(-1) assuming m is positive.\nAnswer: m**(23\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 506616199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2f (base 16) to base 3\nAnswer: -1202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 8, 2, 3, -0.033 in descending order.\nAnswer: 8, 3, 2, 0.2, -0.033","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 74*w - 70*w. Let r be -1*0\/(w + 2 + 1). Calculate the remainder when (r + 2\/6)*(98 - -1) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 8:51 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 687 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 19 = -4*c, 5*c - 2*x + 1 - 2 = 0. Let g = 7 + -7. Suppose g = -4*m - 4. Is m equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = s - 60, -2*y - 299 = -5*s + 7. Suppose 21 = 63*p - s*p. Solve -4*l + 3*l - 1 = -3*n, n + p = -5*l for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*f + 75*f = -9. Does f = -1\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a - 4. Let h be k(-6). Let q be 50*(h - 0 - 1). Suppose -5*z + 4*r + 49 + q = 0, r - 37 = -2*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {e: 7, u: 2, g: 7}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-1 - 2 - 1) + (160 - 156)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31.8408 + -31.3408. Let x(d) = 2*d**3 - 3*d**2 + 2*d - 1. Let j be x(2). Let u = -10 + j. Which is the third biggest value? (a) 4 (b) u (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0116656 rounded to 4 decimal places?\nAnswer: 0.0117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008)*2*-4)**2 + 0 + 3.\nAnswer: 64515","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 684042, -0.4, 0.1 in descending order.\nAnswer: 684042, 0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/48*((-520)\/(-25) - 21)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 361 - -2?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) 113 (c) 19\/2 (d) -2 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-296)\/(-74)*2\/(-24).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-9))\/(3*4\/(-36))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (2 + 0 + 0) - -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 13946.43 millimeters?\nAnswer: 0.01394643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -319*s**2 - 2*s - 1. Let q be b(-1). Let y = q + 149. Let a = y - -270. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/(-36))\/(1\/6*1). Which is the second smallest value? (a) m (b) -2\/9 (c) 2.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 51? (a) 453\/4 (b) 372 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -295\/1148 + 2\/287. Let f = 46 + -140\/3. Sort f, 5, i in descending order.\nAnswer: 5, i, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -4*f. Let n(u) = -114*u - 1212*u + 327954 - 327953. Determine a(n(g)).\nAnswer: 5304*g - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 692256 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 8*p - p)*(3*p + 2*p - 6*p)*(-2 + 2 - 2*p) + 9397*p - 22*p**3 - 9397*p.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 2 - (-34 - -59)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 - 2*w**3 + (-11280*w - 8349*w + 24184*w)*(0*w**2 - w**2 + 3*w**2) to y*w**2 + u*w**3 + s + f*w and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15268 is divided by 73?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11221213 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: Work out -84699.5 * -48.\nAnswer: 4065576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3728508?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22\/6*(-1062)\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k. Let m = 80 - 58. Let y(s) = 14*s - m*s + 6*s. Calculate p(y(u)).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4251795 divided by -6.\nAnswer: -1417265\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 633029212 and 948.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1604*o**5 + 27*o + 32.\nAnswer: 32080*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*p + 49541 = 4*j - 41*p, -5 = p. What are the prime factors of j?\nAnswer: 12379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.2, 0.2, -0.04 in increasing order.\nAnswer: -3, -0.2, -0.04, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 5*u**3 - 105*u**2 - 620*u - 780 = 0.\nAnswer: -3, -2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 198*j - 12*j**5 - 110*j**5 - j - 9*j**5 wrt j.\nAnswer: -2620*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d - 19. Let l be q(-4). Let f = l + 38. Suppose 0 = -6*g + g + 5. What is the highest common divisor of g and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -5.9. Let o = 8 + -26. Let z be ((-2)\/3)\/(4\/o). Put z, y, -1\/4 in ascending order.\nAnswer: -1\/4, y, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 900539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 2*v - 2*v)*(-3 + 3 - 1)*(-13*v**4 + 16*v**2 + 11*v**4 + 4*v**4).\nAnswer: 2*v**5 + 16*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 181 - 201. Let k be h*3\/(-5)*2\/6. Solve 0*i = k*i - 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*m**2 + 34*m**3 - 2 - 9*m**2 - 28*m**3 to the form x*m**3 + j*m**2 + a + d*m and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, b: 1, o: 5, p: 2, d: 1}. Give prob of sequence pd.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17758?\nAnswer: 2, 13, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 13*j - 44. Let y be z(4). Suppose 5*k - y*k + r = 20, -20 = k + 3*r. Let u(o) = -o + 2. Let b(f) = 2*f - 6. Determine k*u(m) - 3*b(m).\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 662 and 1.55.\nAnswer: 1026.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (19 - 39) + (-2 - -3) - -56.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 204*h + 203*h - 13)*(-2*h**4 + 5*h**4 - 2*h**4).\nAnswer: -h**5 - 7*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**4\/7 - 1124*r**3\/7 - 40394*r**2 - 840376*r\/7 - 558744\/7 = 0.\nAnswer: -186, -2, -1, 751","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -241*p + 661*p - 3 - 198*p + 3 - 217*p.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 10) in base 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (40*b - 6*b + 13*b)*(-b + 2*b - 2*b)*(b**2 - 8*b**2 + b**2) in the form i*b + k*b**4 + s*b**3 + p*b**2 + f and give k.\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/8814 and 83\/1287.\nAnswer: 290862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -76.6 rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/47)*b)\/b**17*b\/b**3*b**20)**(-23) assuming b is positive.\nAnswer: b**(-2208\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + j - 4 = -10, 4*r = 5*j - 28 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*n - 80 = -38*n. Let y(k) = k**2 + 19*k - 15. Let a be y(n). Solve 25 = -3*f - 5*w, -2*f + 0*w - w - a = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(10\/7))**(14\/11)*(p\/(p\/(p*p\/(p**(-17)\/p*p)*p))*p*p)\/(p**(-12)*p) assuming p is positive.\nAnswer: p**(383\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 o, and 1 h when three letters picked without replacement from {o: 2, e: 2, h: 2, s: 5, z: 2}.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 77 and 35.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 988.1567ug?\nAnswer: 988156.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n + 11*n - 6*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -8*((-99)\/(-22))\/(6\/(-1))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 267 + -311. Calculate the common denominator of y*((-22)\/18)\/11 and 103\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.36 and 2.096.\nAnswer: 0.75456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5773064?\nAnswer: 2, 11, 17, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 5*z**2 - 2*z - 284. Let d(l) = -4*l**2 + 4*l + 285. Determine 3*d(c) + 2*p(c).\nAnswer: -2*c**2 + 8*c + 287","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (17\/(-51))\/(0 + (-4)\/249) and -75\/52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1559 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 92*j**2 - 4*j + 4*j + 45*j**2 - 166*j**3 wrt j.\nAnswer: -996","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 7 + -4 + -3 + 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -8, -121 in increasing order.\nAnswer: -121, -8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3390484*c*n**3 + c*n**2 + 67871*c*n + 4*c - 3*n**2 + n wrt n?\nAnswer: 20342904*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(208)*5)**2 + -5 + (sqrt(208) - (0 + sqrt(208))))*-4.\nAnswer: -83180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 25*c - 3. Let y = -490 - -491. Let m be o(y). Let j(q) = 2*q**3 + 2*q - 1. Let f be j(1). Solve -f*z + 3*d + d = -m, -d + 4 = 4*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 11 + 18. What are the prime factors of q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-2\/7)*a))**(-2)*((a\/a**(1\/10))\/a*a)\/a**(-2\/25) assuming a is positive.\nAnswer: a**(143\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -8) + 0 - (1809 + -1811)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 24*j + 80. Suppose -85 = 14*s - 29. Let c(u) = 23*u + 80. Let f(a) = s*k(a) + 3*c(a). Differentiate f(m) wrt m.\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q - 9. Let n be d(6). Suppose -5*f + 1612495 = 2*l, f - 806246 = -l - n*f. Let a be ((-32)\/3)\/(2\/l). Round a to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 137365245*k**2*m + 54*k*m - 32893*k - 3*m + 2 wrt k?\nAnswer: 274730490*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 1 = i, -2*d = -2*i - 5*d - 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4795207.68+-2\nAnswer: -4795209.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 665646091.\nAnswer: 11, 61, 992021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12120 divided by -20.\nAnswer: -606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 4071 = 14*m - 17*m, m = -2*p + 1359. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27f0 (base 16) to base 11\nAnswer: -7755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4*z**2 - 396*z + 2583. Determine c(92).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (4*(-3)\/30)\/(2\/40)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (938 + 42*m - 938)*(-3*m + m + 3*m) + m**2 - 5*m + 5*m.\nAnswer: 43*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -504 = 294*b - 300*b. Does 17 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.36 + -0.04. Let p = -4\/151 - -481\/1057. Which is the smallest value? (a) 0 (b) p (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 6*t - t. Let n be 1*7 + t + 1. Is n - (-7)\/((-28)\/(-2760)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 4)*(-f + 2*f - 3*f) - f - f + 3*f + 30*f - 42*f + 22*f.\nAnswer: 13*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 598*k**2*o**4 + 198971*k**2*o + k*o**2 + 213*o**4 - o**2 wrt o.\nAnswer: 14352*k**2*o + 5112*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -4*x + 2, -4*y + 7 = -0*x + 5*x. Let s be (0\/x)\/(-2) + 2. Suppose s*d - 4 = 6*d. Is d > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q - 1 + 1 + 2*q + 4*q - 4*q - q + 4*q - q + (-2*q - q + 4*q)*(-2 - 1 + 5) - 41*q + 643*q - 376*q.\nAnswer: 231*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12010 + -1200?\nAnswer: -20210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 959, 1917, 2873, 3827, 4779?\n\"Answer: -h**2 + 961*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2713023 or 2713024?\nAnswer: 2713024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/35 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - -5. Suppose 3*o = 3*b + 2 + a, -2*b = -5*o + 20. Let i(c) = c**3 - 3*c**2 + 3*c - 3. Is i(o) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 11*q**2 - 13*q - 40. Let u be c(9). Factor -3*w**2 - 13*w - 4 + 6 + u*w**2 + w**3 + 8.\nAnswer: (w - 2)*(w - 1)*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 472194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000326709 to 5 dps.\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24448 - -1?\nAnswer: 24450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 7*q = -25. Let r(n) = -8*n + 54. Let v(m) = 2*m**2 - m - 1. Calculate the remainder when v(-5) is divided by r(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*r - 28*r + 11 = -2*j, -4*j - r - 15 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -80280*b + 2167560. Give h(27).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -127 - -129. Let t be (v*6\/16)\/((-1)\/(-56)). Let r = 1584250\/37131 - -2\/12377. Which is smaller: t or r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000024543 to seven dps.\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 69688*r**5 - 1007*r + 22 wrt r.\nAnswer: 1393760*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12.9999881 + -13. Round u to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 325\/15*(-81)\/135\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17775265.\nAnswer: 5, 3555053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1723 is divided by 41.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -127224 + 193596. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*j + 2, 2*j = -u + 392. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 6 = t. Let b be 2 + -3 + -1 + t. Suppose 5*m - 525 + 135 = b. List the prime factors of m.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 236293874?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -1\/5, 0.046, -4?\nAnswer: 0.046","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 88\/(-42) + (-12 - -14). Let l = -0.2 + 0. Let z = 1 - 1.1. Put z, j, l in decreasing order.\nAnswer: j, z, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1214010 and 1470.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(3*sqrt(204)\/sqrt(6))\/(-5*sqrt(128)))**2 + -5.\nAnswer: -7847\/1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 38\/17? (a) 1\/9 (b) -1\/4 (c) 2\/9 (d) -2 (e) 1\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-2) - 28\/(-13). Let y = 30 + -34. Let s = 173\/4 - 43. Which is the third biggest value? (a) z (b) 2\/3 (c) y (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uubxuubuuux.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*c**2 - c**3 + 2*c**3 - 97 + 96 in the form t*c + g + u*c**2 + b*c**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7, 1.3, 2\/19, 82.9?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*v + 17, 17*x = 12*x - 15. Put 0, -5, -2, v in increasing order.\nAnswer: v, -5, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -33.6, 19366, 1, -5, -0.3 in descending order.\nAnswer: 19366, 1, -0.3, -3, -5, -33.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -2*i - 7, -i + 194 = 3*q + 203 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301 is divided by 216.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -3) + 16 + (93 - (183 + -72))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2853*f - 201. Let d be x(-11). Suppose 2*c + 4*a - d = 0, 2*a - 77971 = -0*c - 5*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6079 by 6.\nAnswer: -6079\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28 + 66*m**2 + 11 + 7 + 9*m + 10 to the form u + o*m**2 + l*m and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 151?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 5\/(30\/13). Let z(i) be the second derivative of -2*i + 0*i**3 + 0 + f*i**4 + 0*i**2. Let y(h) = 2*h**2. Give z(y(o)).\nAnswer: 8*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 51955 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 0 + (-14 - -7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3847170527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22230 - -22229.8. Suppose p - 3*p - 56 = 0. Let r be ((-8)\/p)\/((-15)\/7). Which is the smallest value? (a) r (b) 1 (c) s (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 11. Let g = p - -5. Let r(b) be the first derivative of -b**2 - 5*b - 23. What is r(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78 and 346866?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - o**2 - 2*o)*(-o - o - o).\nAnswer: 3*o**3 + 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 5:26 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 0, 1, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 737178281?\nAnswer: 7, 643, 163781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 15, 54, 129, 246, 411, 630, 909, 1254?\n\"Answer: b**3 + 12*b**2 - 4*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-72*c**2 - 66*c**2 + 222*c**2)*(-c - 90 + 89 + 14*c) to d + i*c**2 + p*c**3 + y*c and give i.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*z + 36*z = 0. Suppose 0*s - 5*s + 1600 = z. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.06 and -38193744.5.\nAnswer: -38193744.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-2)*(30 + -39).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 8) to base 7\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -81 - -85. Suppose 2 + m = -3*w, 2*g = -3*w - 6. Suppose 5*n + 2*d - 4*d - 371 = g, -d = 5*n - 377. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 j when two letters picked without replacement from {z: 3, j: 1, o: 2, a: 7, p: 7}?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*i - 65*i + 20 = 0. Let r(o) be the first derivative of 0*o**2 + 1\/9*o**3 - 1\/3*o + i. Factor r(b).\nAnswer: (b - 1)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -157 - -180. Suppose 4*f + 3*a = w, f - 4 = a - 7. Sort f, 423, 4 in descending order.\nAnswer: 423, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 668131.\nAnswer: 3\/668131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34 + -32. Suppose 0 = -k*g + 8. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**4\/5 + 112*f**3\/5 - 2352*f**2\/5 + 21952*f\/5 - 76832\/5.\nAnswer: -2*(f - 14)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5*9\/36*-1\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 78882 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**3 - 3*d + 40. Calculate n(3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0083 - -5.2217. Let k = 0.23 - j. Which is the third biggest value? (a) k (b) 2\/7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54458 and 57086.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -70*r**3 + r**2 + r + 1. Determine u(-1).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 1:27 PM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*r + 115 = 0. Suppose -2*y + 10 = -0*y. Let o = y - r. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 13537, 26888, 40145, 53302, 66353, 79292?\n\"Answer: -v**3 - 41*v**2 + 13481*v + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7433 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 74 and 8?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2 = -5. Does -7 = w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1 - 131*i - 17*i**2 - 25*i + 2*i**2 + 15*i**2 + 475*i**3 wrt i?\nAnswer: 2850*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*o**2 - 203*o**2 + 103*o**2.\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 14) to base 6.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vr when two letters picked without replacement from {h: 6, v: 5, j: 2, m: 1, r: 3}.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232*q = -231*q - 5. Solve -12 = -w + 3*d, 2*w + q*d = -35 + 4 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58.02 - 61.02. What is the nearest to -3 in o, -0.1, -1\/5, 1\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 24\/19 (b) -1 (c) -32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 67*m**3 - 13*m**2\/2 - 2*m - 165. Find the second derivative of n(c) wrt c.\nAnswer: 402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 at most 859\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 21, 10, -3, -18, -35?\n\"Answer: -a**2 - 8*a + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {g: 3, t: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 + 0 + 4*a + 1 + 5*a**2 + 9 + 0 to the form t + n*a + u*a**2 and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 2*h - 4*h + 3*v, -3*v + 12 = 0. Solve 0*s = -5*x - s - h, -5*x = -2*s for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -38*d**4\/11 - 384*d**3\/11 - 1066*d**2\/11 - 72*d - 72\/11 = 0.\nAnswer: -6, -3, -1, -2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8686260 and 675?\nAnswer: 130293900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7764 + 2636?\nAnswer: 11511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 12:17 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -587.00333 - -587. What is d rounded to four dps?\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16042751 (base 10) to base 6.\nAnswer: 1331503555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 - -15 - 4) + -3. Let d(p) = -2*p**2 + 2*p + 24. Give d(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -29*g - 3. Let u(a) = -1. Calculate b(s) - 2*u(s).\nAnswer: -29*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p + 63 = 30*p + 143 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 69, -5, 3, 602, 5.\nAnswer: -5, -2, 3, 5, 69, 602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -2*r - 0*r - 8, 5*o + 15 = -2*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a centimeter in micrometers?\nAnswer: 31250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/5540, -5, 0.1, -8, -6\/5, -1?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -873709, -1747413, -2621117?\nAnswer: -3494821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 - -6521353?\nAnswer: 6521345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 20 + 30 = l, 5*r = l + 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.7 + -279.7. Let s = 274.1 + m. Which is the closest to -3? (a) -12 (b) -3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -109 or -140?\nAnswer: -109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19422.\nAnswer: 2, 3, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.15854783785039 and 43?\nAnswer: 42.84145216214961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, i: 5, g: 3}. Give prob of picking 2 i.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 o when four letters picked without replacement from ioioioi?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 4*f**5 + 13360*f**4 + 159888*f**3 + 479232*f**2 = 0.\nAnswer: -3328, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**3 + 3*w**2 - 3*w + 1. Suppose -164 = 80*v + 236. Let z(l) = 4*l**3 - 5*l**2 + 5*l - 2. Calculate v*c(p) - 3*z(p).\nAnswer: -2*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gcb when three letters picked without replacement from gcpbz.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 704542918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*v**4 + 135*v**3 + 760*v**2 + 1260*v + 640 = 0. What is v?\nAnswer: -2, -1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60304998, -120609999, -180915000, -241220001, -301525002, -361830003?\nAnswer: -422135004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 53254651 (base 7) to base 4\nAnswer: 101033001133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -579318 (base 15) to base 4.\nAnswer: -33331010303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 1 - 3 + u + 4. What is g(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x. Let g(s) = -25*s - 13. Let t(u) = 4*u - 1. Let d(l) = -25*l + 7. Let m(a) = 6*d(a) + 39*t(a). Let c(b) = -2*g(b) - 9*m(b). Give c(f) + 2*o(f).\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(5\/4))\/i*i**5\/i*i*i)\/((i*i\/(((i\/i**(3\/11))\/i)\/i))\/(((i*i**(3\/4))\/i)\/i)) assuming i is positive.\nAnswer: i**(41\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 715319 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -62118900 to the nearest 1000000.\nAnswer: -62000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25867, -51843, -77805, -103747, -129663?\nAnswer: -155547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -216 + 388. Let q = z - 297\/2. Find the common denominator of (-4)\/(-14)*(-119)\/15 and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**9*j\/j**(-2\/41)*j assuming j is positive.\nAnswer: j**(453\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*z + 158 + 514 = -23*z for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8134 and 17264.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -480, -953, -1426?\n\"Answer: -473*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4991500999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4500\/(-400))\/((-50)\/(-120))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(42)\/sqrt(6) + sqrt(567) + 0)**2.\nAnswer: -20*sqrt(7) + 701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s**3 - 2*s**2 - 37. Let b(x) = 4*x**3 - 3*x**2 - 55. Let r(p) = -5*b(p) + 7*m(p). Give r(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -312 - -315. Suppose -2*l + 2*i = -3690, -4*l + i - r*i = -7368. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 10*r**2 - 25*r - 99. Determine w(-8).\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*q**2 + 9*q - 26*q**2 + 14*q**2 - 9*q.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -633 - 1?\nAnswer: -634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-113*l - 94*l + 224*l)*(0 - 8 + 7)*(3 + 5 - 4).\nAnswer: -68*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y + 6*r + 126, -5*y - 2*r - 53 + 11 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -13020827, -13020824, -13020821, -13020818?\n\"Answer: 3*k - 13020830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*h - 25, -2*h + 0*u + 25 = 3*u. Let y be h\/((-25)\/(-6))*(-820)\/(-8). Suppose 0*x = -3*x + y. Does 12 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32004 and 2349627?\nAnswer: 2667","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 47*n**2. Let u(t) = 14*t**2. Determine u(q(v)).\nAnswer: 30926*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 13*q + 31. Suppose 8*l + 25 = 3*l, 4*v = -l - 93. What is the tens digit of d(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 2\/9, -2\/7, -40?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 5 - 1)*(2*t - 1 + 1) - t + 2 - 2 - 3*t + 4*t - 3*t + (-1 + 1 + 2)*(-2*t + 0 + 0) + 3*t + 0*t - 5*t + (1 - 3 + 1)*(t + 7*t - 3*t).\nAnswer: -34*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 296 = 424. Suppose -3*s + 270 = 9*c - 10*c, 0 = s + 2*c - v. What is the remainder when s is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**4 + 0*t**4 + 7*t**4 + (-2*t**2 + 2*t**2 - 2*t**2)*(2*t**2 - 4*t**2 + 0*t**2) - 472*t**4 - 134*t**2 + 134*t**2.\nAnswer: -464*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 2. Let g(v) = 644*v. Determine k(g(y)).\nAnswer: -414736*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) - sqrt(228)\/(sqrt(12)*-2) - (sqrt(171) + -1) - (4 + ((sqrt(2736) + sqrt(2736) + 1 + 2)**2 - sqrt(2736))).\nAnswer: -10956 - 267*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -4*k**2 - 688088*k - 1376160 = 0.\nAnswer: -172020, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 19b - 5390?\nAnswer: -51c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59 + 57. Let f be 5 - 1 - (w - 6). Let c be (-7)\/(-21) + -82*(-2)\/f. What is the greatest common factor of 112 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/((-1)\/4*-474). Let s = 391\/158 - w. Factor 0 + x + 3\/2*x**3 - s*x**2.\nAnswer: x*(x - 1)*(3*x - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107613 is divided by 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhtp when four letters picked without replacement from {h: 5, p: 3, t: 1}?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*w - 4*w + 5*w to b + f*w and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*o**2 - 2\/7*o**3 + 0 + 0*o.\nAnswer: -2*o**2*(o - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -7*c - 11. Suppose 55 = 5*v - 0*v. Let b(i) = -7 + 19 - 6 - 2*i + 6*i. Calculate v*b(p) + 6*f(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 5*g + 240. Round g to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k**3 - 2*k**2 - 85*k + 2. Let m(v) = -13*v**3 + 9*v**2 + 337*v - 9. Give -2*m(h) - 9*o(h).\nAnswer: -h**3 + 91*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -10, 3*l = -0*u + 2*u + 25. Is 54445\/l - (3 - -3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 338*i**2 - 987*i - 12263. Give u(341).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = 5*v - 29, 4*v + 4*f + 322 - 342 = 0 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*b**3 + 115 - 7*b - 115 wrt b.\nAnswer: -18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 471 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddmyffdmmfd. What is prob of sequence mffy?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r. Let m(o) = -38*o - 2. Determine q(m(f)).\nAnswer: -114*f - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of n**4\/24 - 316*n**2 - 1. Let c(k) = 214*k. Calculate c(j(q)).\nAnswer: 214*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-1))\/3*-1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5341 - -5334. Which is the closest to 0.3? (a) -0.2 (b) 4\/27 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -462 - 1773 = -4*d - 47*d + 672 for d.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4545 - 0.0005. Round w to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2537905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4256 and 178752?\nAnswer: 178752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 3*b + 34, -3*d = -8*d + 2*b + 46. Let x = -5 + d. Solve 10 = x*w - 5*n, 0*w + 3*n = w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 8*g**2 + g - 14. Let b be t(8). Let v(r) = r**3 + 10*r**2 + 10*r + 6. What is the units digit of v(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ytyy when four letters picked without replacement from {z: 2, y: 4, t: 4}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -0.14, 2, 0.4 in ascending order.\nAnswer: -5, -0.14, 0.4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-704)\/(-32) + (1 - 1) and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 686 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 2*s + 4*s + 1040, 4*o = 2*s + 2074. Let v be 18490\/36 + 4\/18. Let j = o - v. Is j smaller than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*r - 825 = -777 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 8:26 AM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 65 + -120 + 36 + 12\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 22*10*36\/(-25740)\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*f - 1285 = -3493 for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9538?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000277966444 to six dps.\nAnswer: 0.000278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 4382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + (-1 - 2)\/(-3) + 3. Suppose -o = -0*o - j*k - 51, 0 = 2*o + 5*k - 50. Is o\/14 - (-8292)\/8 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*d - 2*d - 51484 - 15*d + 51483 + d.\nAnswer: -27*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -48 + 18*r**4 + 16 + 13 + 13 wrt r?\nAnswer: 72*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**5\/7 + 6585*i**4\/7 - 4835457*i**3\/7 + 1200525219*i**2\/7 - 9298091736*i\/7 = 0.\nAnswer: 0, 8, 729","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 7852*k**2 + 2*k + 1. Let g = 5 + -6. Let a be u(g). Let z = a + -70589\/9. Calculate the common denominator of z and 123\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -277*u**4\/6 + 791*u**2\/2 + 3*u + 121. What is the first derivative of i(a) wrt a?\nAnswer: -1108*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1716*x + 15*x**2 - 11*x**2 - 1716*x.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-9)\/(225\/40))\/10)\/(10\/25)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12\/2*(-22110)\/4020\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*d + 0 + 32 = -64. Solve 3*r - 26 = -d*y, 5*r = 3*y - 8 + 3 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-116957916.\nAnswer: -467831664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3797)\/4923)\/(2\/51). Let i = -1017419\/1094 - -930. Let r = i + j. Find the common denominator of r and 28\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/5)\/t)**(17\/3) assuming t is positive.\nAnswer: t**(-17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -12) + -8 + 23 + -16.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 301 = -321. Suppose -8 = b + 3*b - p*f, -5*f = -3*b - 12. Let m = 9 - 14. Sort b, -7, m, 2 in descending order.\nAnswer: 2, b, m, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 182467, 729882, 1642245, 2919556, 4561815, 6569022, 8941177?\nAnswer: 11678280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 6*j**3 - 10*j**2 + 6*j - 6. What is the remainder when o(3) is divided by 42?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*g, -i - 2*g + 4 = -0*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 671374 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43256430 to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -w**5\/40 - w**4\/8 - w**3\/4 - 6*w**2. Factor k(z).\nAnswer: -3*(z + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t**(-3\/4)*t)\/t)\/(t\/((t\/(t\/(t\/t**33)))\/t)))**(3\/2))**39 assuming t is positive.\nAnswer: t**(-16263\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6969, 14345, 21721, 29097?\nAnswer: 36473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 672 and 192.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -96*f**6 + 47*f**4*s**3 - 2*f**2*s**2 + 13*f**2 + 832*s**3 wrt f.\nAnswer: -11520*f**3 + 1128*f*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 2:29 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13471 - 12655. Calculate the remainder when t is divided by 60.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -153971\/52180 + 2\/2609. Calculate the common denominator of t and 109\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 6:00 AM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.066385 to four decimal places.\nAnswer: 0.0664","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -21 - 2 - (-22 + 15 - -17)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 29035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 14407, 14379, 14325, 14239, 14115, 13947, 13729, 13455?\n\"Answer: -z**3 - 7*z**2 + 14415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2834 - 2834 + 102*h + (-3 + 6*h + 3 + (-h + 3 - 3)*(5 + 1 - 5) + 4*h + 3*h - 5*h)*(1 + 2 - 1).\nAnswer: 116*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -12 (b) -5\/4 (c) -1\/2 (d) -4 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4) + 21\/(-42)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 2 + 2 - (-11 + 10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2. Let t(o) = 6118*o**2. Give c(t(m)).\nAnswer: 37429924*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - x = -12, 16*x + 10 = 21*x. Sort 0, 12, z in descending order.\nAnswer: 12, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 10*a + 1584. What is the thousands digit of u(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mfrr when four letters picked without replacement from {u: 3, m: 5, f: 2, o: 3, r: 5}?\nAnswer: 5\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -770234906*c**4*j**3 - 720931899*c**2*j**3 wrt c.\nAnswer: -18485637744*c*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -216 + 18. Let z be q\/(-5) - 2\/(-10). What is the highest common factor of z and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 42*h**2 + 95*h + 24. What are the prime factors of i(-26)?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -7794*i**2 + 39*i - 77. Let b be l(-23). Round b to the nearest 100000.\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 414993498?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 6:15 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -2\/13, -3004?\nAnswer: -3004","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -196, -556, -1090, -1798?\nAnswer: -2680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 4*b - 107, 109*b - 116*b - 157 = -4*n. Solve 0 = 27*c - 18*c + n for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 36\/(-2)*(-5)\/35. Let k = q - 115\/42. Let h = -364\/5 + 73. Which is the third smallest value? (a) k (b) h (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 6*v**2 - 1. Let w be n(-1). Let y = 8 - w. Solve -y*q - 2*q = 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 divided by -10?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 33.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80 + -72 - (-1 + -6)) + 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 213 = -3*r, 0 = 79*b - 82*b - 2*r + 124. Suppose b*o = 31*o + 19569. List the prime factors of o.\nAnswer: 3, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 - (26 + -6 - -73).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 546 and 294.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8059881 divided by -8059881.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 140 and 6860.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 102631119\/2 or 51315559?\nAnswer: 51315559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*x**2 - 77*x**2 + 34*x**2.\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of 0 + 3*w - 9*w**2 - 1\/5*w**4 - 2\/525*w**7 - 7\/200*w**6 - 37\/300*w**5 - 2\/15*w**3. Suppose h(x) = 0. Calculate x.\nAnswer: -2, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) -0.2 (b) 4 (c) -8 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 30*t**2 - 7*t + 20. Let v(l) = -31*l**2 + 11*l - 21. Calculate 3*j(p) + 2*v(p).\nAnswer: 28*p**2 + p + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 8*x - 2 - 2 - 1. Is k(3) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 121*m**2 - 3*m - 47.\nAnswer: 242*m - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 3:03 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1273184 and 352?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -560 - -564. Solve 17*r + 52 = k*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -314 + 154 + 160 + 12727*x.\nAnswer: 12727*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227811.\nAnswer: 3, 75937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/4 - 29*a**2\/4 - 105*a\/2.\nAnswer: a*(a - 35)*(a + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -m + 12. Suppose m*t + 10 = 70. Is 11 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 8:30 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 5*i - 1. Let h be z(3). Let f = -8396 + 8396. Which is the biggest value? (a) -21 (b) f (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 6*m**3 + 4*m**2 - 26*m - 29. Determine z(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1145927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 10, -13, -74, -191, -382?\n\"Answer: -3*p**3 - p**2 + p + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2937 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -57 + 86. Let k = r - 29.000143. What is k rounded to 5 decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*l - 21 + 1 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 17*h**2 + 35*h + 110. Suppose 2*t - 7*t + 65 = 0. What is the remainder when s(-15) is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 360083*z**2 + z. Let m be u(-2). Let f(h) = h**2 - h - 640330. Let s be f(0). Let i = s + m. What is i rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 11. Let k(t) = -i*t + 0*t + 3*t - 1 + 3*t. Let v be k(4). Solve -3*m + a - 15 = -v*m, -15 = 3*a for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11321*i + 38416 wrt i.\nAnswer: 11321","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -119876, -119883, -119890, -119897, -119904, -119911?\nAnswer: -119918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*t + 20*t + 25 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*i**6 + 5*i**3 - 3*i**2 + 31 wrt i.\nAnswer: 3360*i**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 170?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3024 and 30240?\nAnswer: 30240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1465 (base 10) to base 2.\nAnswer: 10110111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**2 - 2*h + 2*h)*(-h + 0 + 0) - 2*h + 2*h + 4*h**3.\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 551769 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: Collect the terms in 173 + 1 + 0*x**2 + 3*x**2.\nAnswer: 3*x**2 + 174","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103360 divided by -18.\nAnswer: 51680\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1875189 * 19.\nAnswer: -35628591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.039 (b) -0.19961 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + d + d + (-42*d - 37*d + 30*d)*(-1 - 1 + 0))*(224*d + 4 + 221*d + d**2 - 444*d).\nAnswer: 99*d**3 + 99*d**2 + 396*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.13 + 0.87. Which is the closest to f? (a) -0.4 (b) 4 (c) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) -18\/41 (c) 1.6 (d) -32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4*d - 5 + 0 = 0, 10 = -z - d. List the prime factors of z + (-1 - -8) + 31 + 1.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*q - 2831 - 9796 = 0 for q.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(255) - -3*sqrt(255)) + sqrt(255))\/sqrt(5))\/(sqrt(18)\/sqrt(6)*3).\nAnswer: 5*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*i**2 + 6*i**6 - 24*i**6 + 12*i**6 - 4*i**2 wrt i?\nAnswer: -720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - s**2 - 24. Calculate w(0).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5147 - 33322. Let n = -28174.7699825 - z. Let w = -0.23 + n. What is w rounded to six dps?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - (-1 + -12 + (254 - 234) - (-2 + -1))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 0*i + 15 = 0. Suppose 25 = 2*z + i*z. Let s be 1 + -1 - -1 - -7. Solve -b - z*c + s + 12 = 0, c = -2*b - 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4556908*f + 3818845.\nAnswer: 4556908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 210618*i + 3 - 2 - 206905*i + 417524*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 1840 = -2*d - 5*o, 5*d + 1832 = o. Let w be (((-159381)\/d)\/3)\/15. Let i = w + 160\/61. What is the common denominator of i and -11\/7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - 1. Let p = 3690 - 51657\/14. What is the third biggest value in 0.2, p, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 9 = 4*n - 2*s, 4*n = 4*s. Which is the third biggest value? (a) 0 (b) -1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3066824 greater than or equal to 3066824?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**26\/(f**(2\/27)*f)*f**(-7\/5)*f\/(f**(-1\/42)*f) assuming f is positive.\nAnswer: f**(44509\/1890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**(-2)\/o)**37)**43)**32)**(5\/2) assuming o is positive.\nAnswer: o**(-381840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11419210 divided by -32.\nAnswer: 5709605\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 102544664.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n + 12. Let s be j(-3). What is the highest common divisor of s and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from wwwwwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 divided by -1.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173*s - 177*s + 4186 = l, -s = 2*l - 1050. Is s a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 5*g = -35, 9*g + 15 = q + 4*g. Suppose -3*s = -q*a - 71, -5*s + 2*a + 46 + 85 = 0. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(36\/(-32)*(-2)\/(-3))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p. Let s(a) be the first derivative of a**4\/6 - 4*a - 2. Let o(j) be the first derivative of s(j). Calculate b(o(l)).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 203333210 (base 5) to base 8\nAnswer: 3150175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*d - 4*d + 135 - 139 = 2111 for d.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 12\/7 of a week?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9823632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/7*m**4 + 6\/7*m**5 + 0*m**2 + 0 + 0*m - 2\/7*m**3 = 0. Calculate m.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 66576, 132797, 199018, 265239?\n\"Answer: 66221*k + 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a5d (base 14) in base 15?\nAnswer: 1642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-12)*(-11 + 19) + 1\/(-2). Let w(o) be the first derivative of 5*o**3 + 0*o - 5*o**2 - 3*o**5 + v*o**6 + 5\/4*o**4 + 34. Factor w(q).\nAnswer: 5*q*(q - 2)*(q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 133*p**2 - 150757*p + 110*p**2 + 150745*p - 4204 wrt p.\nAnswer: 486*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 581.9932l?\nAnswer: 581993.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57750?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -631*g - 8*g**2 - 634*g + 1265*g.\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.019179376 to four decimal places.\nAnswer: 0.0192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 21963103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153982564 is divided by 2843.\nAnswer: 2841","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9 - (-298 + (-35)\/(-5))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - -1) + 60 + -65\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}